From 44588becb9556dc11b72a40faa8f490285cee682 Mon Sep 17 00:00:00 2001 From: Jean-Paul Pelteret Date: Thu, 2 Apr 2020 14:14:42 +0200 Subject: [PATCH] Add SD tests: Batch optimiser --- tests/symengine/batch_optimizer_01_1a.cc | 40 + tests/symengine/batch_optimizer_01_1a.output | 1510 ++++++++++++ tests/symengine/batch_optimizer_01_1b.cc | 41 + tests/symengine/batch_optimizer_01_1b.output | 1510 ++++++++++++ tests/symengine/batch_optimizer_01_2a.cc | 41 + tests/symengine/batch_optimizer_01_2a.output | 1510 ++++++++++++ tests/symengine/batch_optimizer_01_2b.cc | 42 + tests/symengine/batch_optimizer_01_2b.output | 1510 ++++++++++++ tests/symengine/batch_optimizer_01_3a.cc | 41 + ...01_3a.with_symengine_with_llvm=true.output | 804 +++++++ tests/symengine/batch_optimizer_01_3b.cc | 41 + ...01_3b.with_symengine_with_llvm=true.output | 804 +++++++ tests/symengine/batch_optimizer_02_1a.cc | 45 + tests/symengine/batch_optimizer_02_1a.output | 22 + tests/symengine/batch_optimizer_02_1b.cc | 45 + tests/symengine/batch_optimizer_02_1b.output | 22 + tests/symengine/batch_optimizer_02_2a.cc | 44 + tests/symengine/batch_optimizer_02_2a.output | 22 + tests/symengine/batch_optimizer_02_2b.cc | 44 + tests/symengine/batch_optimizer_02_2b.output | 22 + tests/symengine/batch_optimizer_02_3a.cc | 45 + ...izer_02_3a.with_symengine_with_llvm.output | 22 + tests/symengine/batch_optimizer_02_3b.cc | 45 + ...izer_02_3b.with_symengine_with_llvm.output | 22 + tests/symengine/batch_optimizer_03_1a.cc | 43 + tests/symengine/batch_optimizer_03_1a.output | 86 + tests/symengine/batch_optimizer_03_1b.cc | 43 + tests/symengine/batch_optimizer_03_1b.output | 86 + tests/symengine/batch_optimizer_03_2a.cc | 42 + tests/symengine/batch_optimizer_03_2a.output | 86 + tests/symengine/batch_optimizer_03_2b.cc | 42 + tests/symengine/batch_optimizer_03_2b.output | 86 + tests/symengine/batch_optimizer_03_3a.cc | 43 + ...izer_03_3a.with_symengine_with_llvm.output | 86 + tests/symengine/batch_optimizer_03_3b.cc | 43 + ...izer_03_3b.with_symengine_with_llvm.output | 86 + tests/symengine/batch_optimizer_04_1a.cc | 37 + tests/symengine/batch_optimizer_04_1a.output | 74 + tests/symengine/batch_optimizer_04_1b.cc | 37 + tests/symengine/batch_optimizer_04_1b.output | 74 + tests/symengine/batch_optimizer_04_2a.cc | 36 + tests/symengine/batch_optimizer_04_2a.output | 74 + tests/symengine/batch_optimizer_04_2b.cc | 36 + tests/symengine/batch_optimizer_04_2b.output | 74 + tests/symengine/batch_optimizer_04_3a.cc | 37 + ...izer_04_3a.with_symengine_with_llvm.output | 28 + tests/symengine/batch_optimizer_04_3b.cc | 37 + ...izer_04_3b.with_symengine_with_llvm.output | 28 + tests/symengine/batch_optimizer_05_1a.cc | 39 + tests/symengine/batch_optimizer_05_1a.output | 38 + tests/symengine/batch_optimizer_05_1b.cc | 39 + tests/symengine/batch_optimizer_05_1b.output | 38 + tests/symengine/batch_optimizer_05_2a.cc | 38 + tests/symengine/batch_optimizer_05_2a.output | 38 + tests/symengine/batch_optimizer_05_2b.cc | 38 + tests/symengine/batch_optimizer_05_2b.output | 38 + tests/symengine/batch_optimizer_05_3a.cc | 39 + ...izer_05_3a.with_symengine_with_llvm.output | 16 + tests/symengine/batch_optimizer_05_3b.cc | 39 + ...izer_05_3b.with_symengine_with_llvm.output | 16 + tests/symengine/batch_optimizer_06_1a.cc | 39 + tests/symengine/batch_optimizer_06_1a.output | 62 + tests/symengine/batch_optimizer_06_1b.cc | 39 + tests/symengine/batch_optimizer_06_1b.output | 62 + tests/symengine/batch_optimizer_06_2a.cc | 38 + tests/symengine/batch_optimizer_06_2a.output | 62 + tests/symengine/batch_optimizer_06_2b.cc | 38 + tests/symengine/batch_optimizer_06_2b.output | 62 + tests/symengine/batch_optimizer_06_3a.cc | 39 + ...izer_06_3a.with_symengine_with_llvm.output | 22 + tests/symengine/batch_optimizer_06_3b.cc | 39 + ...izer_06_3b.with_symengine_with_llvm.output | 22 + tests/symengine/batch_optimizer_07_1a.cc | 44 + tests/symengine/batch_optimizer_07_1a.output | 2 + tests/symengine/batch_optimizer_07_1b.cc | 44 + tests/symengine/batch_optimizer_07_1b.output | 2 + tests/symengine/batch_optimizer_07_2a.cc | 43 + tests/symengine/batch_optimizer_07_2a.output | 2 + tests/symengine/batch_optimizer_07_2b.cc | 43 + tests/symengine/batch_optimizer_07_2b.output | 2 + tests/symengine/batch_optimizer_07_3a.cc | 44 + ...izer_07_3a.with_symengine_with_llvm.output | 2 + tests/symengine/batch_optimizer_07_3b.cc | 44 + ...izer_07_3b.with_symengine_with_llvm.output | 2 + tests/symengine/prm/parameters-step-44.prm | 76 + .../sd_common_tests/batch_optimizer_01.h | 681 ++++++ .../sd_common_tests/batch_optimizer_02.h | 308 +++ .../sd_common_tests/batch_optimizer_03.h | 471 ++++ .../sd_common_tests/batch_optimizer_04.h | 177 ++ .../sd_common_tests/batch_optimizer_05.h | 271 +++ .../sd_common_tests/batch_optimizer_06.h | 324 +++ .../sd_common_tests/batch_optimizer_07.h | 547 +++++ .../symengine/sd_common_tests/serialization.h | 97 + .../step-44-sd-quadrature_level.h | 2041 +++++++++++++++++ .../step-44-sd-quadrature_level_01.cc | 339 +++ .../step-44-sd-quadrature_level_01.output | 11 + .../step-44-sd-quadrature_level_02.cc | 356 +++ .../step-44-sd-quadrature_level_02.output | 11 + .../step-44-sd-quadrature_level_03.cc | 357 +++ ...e_level_03.with_symengine_with_llvm.output | 11 + 100 files changed, 16930 insertions(+) create mode 100644 tests/symengine/batch_optimizer_01_1a.cc create mode 100644 tests/symengine/batch_optimizer_01_1a.output create mode 100644 tests/symengine/batch_optimizer_01_1b.cc create mode 100644 tests/symengine/batch_optimizer_01_1b.output create mode 100644 tests/symengine/batch_optimizer_01_2a.cc create mode 100644 tests/symengine/batch_optimizer_01_2a.output create mode 100644 tests/symengine/batch_optimizer_01_2b.cc create mode 100644 tests/symengine/batch_optimizer_01_2b.output create mode 100644 tests/symengine/batch_optimizer_01_3a.cc create mode 100644 tests/symengine/batch_optimizer_01_3a.with_symengine_with_llvm=true.output create mode 100644 tests/symengine/batch_optimizer_01_3b.cc create mode 100644 tests/symengine/batch_optimizer_01_3b.with_symengine_with_llvm=true.output create mode 100644 tests/symengine/batch_optimizer_02_1a.cc create mode 100644 tests/symengine/batch_optimizer_02_1a.output create mode 100644 tests/symengine/batch_optimizer_02_1b.cc create mode 100644 tests/symengine/batch_optimizer_02_1b.output create mode 100644 tests/symengine/batch_optimizer_02_2a.cc create mode 100644 tests/symengine/batch_optimizer_02_2a.output create mode 100644 tests/symengine/batch_optimizer_02_2b.cc create mode 100644 tests/symengine/batch_optimizer_02_2b.output create mode 100644 tests/symengine/batch_optimizer_02_3a.cc create mode 100644 tests/symengine/batch_optimizer_02_3a.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_02_3b.cc create mode 100644 tests/symengine/batch_optimizer_02_3b.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_03_1a.cc create mode 100644 tests/symengine/batch_optimizer_03_1a.output create mode 100644 tests/symengine/batch_optimizer_03_1b.cc create mode 100644 tests/symengine/batch_optimizer_03_1b.output create mode 100644 tests/symengine/batch_optimizer_03_2a.cc create mode 100644 tests/symengine/batch_optimizer_03_2a.output create mode 100644 tests/symengine/batch_optimizer_03_2b.cc create mode 100644 tests/symengine/batch_optimizer_03_2b.output create mode 100644 tests/symengine/batch_optimizer_03_3a.cc create mode 100644 tests/symengine/batch_optimizer_03_3a.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_03_3b.cc create mode 100644 tests/symengine/batch_optimizer_03_3b.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_04_1a.cc create mode 100644 tests/symengine/batch_optimizer_04_1a.output create mode 100644 tests/symengine/batch_optimizer_04_1b.cc create mode 100644 tests/symengine/batch_optimizer_04_1b.output create mode 100644 tests/symengine/batch_optimizer_04_2a.cc create mode 100644 tests/symengine/batch_optimizer_04_2a.output create mode 100644 tests/symengine/batch_optimizer_04_2b.cc create mode 100644 tests/symengine/batch_optimizer_04_2b.output create mode 100644 tests/symengine/batch_optimizer_04_3a.cc create mode 100644 tests/symengine/batch_optimizer_04_3a.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_04_3b.cc create mode 100644 tests/symengine/batch_optimizer_04_3b.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_05_1a.cc create mode 100644 tests/symengine/batch_optimizer_05_1a.output create mode 100644 tests/symengine/batch_optimizer_05_1b.cc create mode 100644 tests/symengine/batch_optimizer_05_1b.output create mode 100644 tests/symengine/batch_optimizer_05_2a.cc create mode 100644 tests/symengine/batch_optimizer_05_2a.output create mode 100644 tests/symengine/batch_optimizer_05_2b.cc create mode 100644 tests/symengine/batch_optimizer_05_2b.output create mode 100644 tests/symengine/batch_optimizer_05_3a.cc create mode 100644 tests/symengine/batch_optimizer_05_3a.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_05_3b.cc create mode 100644 tests/symengine/batch_optimizer_05_3b.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_06_1a.cc create mode 100644 tests/symengine/batch_optimizer_06_1a.output create mode 100644 tests/symengine/batch_optimizer_06_1b.cc create mode 100644 tests/symengine/batch_optimizer_06_1b.output create mode 100644 tests/symengine/batch_optimizer_06_2a.cc create mode 100644 tests/symengine/batch_optimizer_06_2a.output create mode 100644 tests/symengine/batch_optimizer_06_2b.cc create mode 100644 tests/symengine/batch_optimizer_06_2b.output create mode 100644 tests/symengine/batch_optimizer_06_3a.cc create mode 100644 tests/symengine/batch_optimizer_06_3a.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_06_3b.cc create mode 100644 tests/symengine/batch_optimizer_06_3b.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_07_1a.cc create mode 100644 tests/symengine/batch_optimizer_07_1a.output create mode 100644 tests/symengine/batch_optimizer_07_1b.cc create mode 100644 tests/symengine/batch_optimizer_07_1b.output create mode 100644 tests/symengine/batch_optimizer_07_2a.cc create mode 100644 tests/symengine/batch_optimizer_07_2a.output create mode 100644 tests/symengine/batch_optimizer_07_2b.cc create mode 100644 tests/symengine/batch_optimizer_07_2b.output create mode 100644 tests/symengine/batch_optimizer_07_3a.cc create mode 100644 tests/symengine/batch_optimizer_07_3a.with_symengine_with_llvm.output create mode 100644 tests/symengine/batch_optimizer_07_3b.cc create mode 100644 tests/symengine/batch_optimizer_07_3b.with_symengine_with_llvm.output create mode 100644 tests/symengine/prm/parameters-step-44.prm create mode 100644 tests/symengine/sd_common_tests/batch_optimizer_01.h create mode 100644 tests/symengine/sd_common_tests/batch_optimizer_02.h create mode 100644 tests/symengine/sd_common_tests/batch_optimizer_03.h create mode 100644 tests/symengine/sd_common_tests/batch_optimizer_04.h create mode 100644 tests/symengine/sd_common_tests/batch_optimizer_05.h create mode 100644 tests/symengine/sd_common_tests/batch_optimizer_06.h create mode 100644 tests/symengine/sd_common_tests/batch_optimizer_07.h create mode 100644 tests/symengine/sd_common_tests/serialization.h create mode 100644 tests/symengine/sd_common_tests/step-44-sd-quadrature_level.h create mode 100644 tests/symengine/step-44-sd-quadrature_level_01.cc create mode 100644 tests/symengine/step-44-sd-quadrature_level_01.output create mode 100644 tests/symengine/step-44-sd-quadrature_level_02.cc create mode 100644 tests/symengine/step-44-sd-quadrature_level_02.output create mode 100644 tests/symengine/step-44-sd-quadrature_level_03.cc create mode 100644 tests/symengine/step-44-sd-quadrature_level_03.with_symengine_with_llvm.output diff --git a/tests/symengine/batch_optimizer_01_1a.cc b/tests/symengine/batch_optimizer_01_1a.cc new file mode 100644 index 0000000000..10fe27abb6 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_1a.cc @@ -0,0 +1,40 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Test that all of the low-level math operations function as expected +// and that their values and derivatives can be computed using the +// optimizer. +// For this test the optimizer uses plain old dictionary substitution. +// This test is based on function_verification_01.cc + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_01.h" + + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + run_tests(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/batch_optimizer_01_1a.output b/tests/symengine/batch_optimizer_01_1a.output new file mode 100644 index 0000000000..e733d257a3 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_1a.output @@ -0,0 +1,1510 @@ + +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Float:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Float::OK +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Double:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Double::OK +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex float::OK +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_01_1b.cc b/tests/symengine/batch_optimizer_01_1b.cc new file mode 100644 index 0000000000..d1d365d529 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_1b.cc @@ -0,0 +1,41 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Test that all of the low-level math operations function as expected +// and that their values and derivatives can be computed using the +// optimizer. +// For this test the optimizer uses plain old dictionary substitution, +// but all other optimizations (e.g. CSE) have been enabled. +// This test is based on function_verification_01.cc + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_01.h" + + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + run_tests(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/batch_optimizer_01_1b.output b/tests/symengine/batch_optimizer_01_1b.output new file mode 100644 index 0000000000..e733d257a3 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_1b.output @@ -0,0 +1,1510 @@ + +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Float:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Float::OK +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Double:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Double::OK +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex float::OK +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_01_2a.cc b/tests/symengine/batch_optimizer_01_2a.cc new file mode 100644 index 0000000000..1ad0c03caf --- /dev/null +++ b/tests/symengine/batch_optimizer_01_2a.cc @@ -0,0 +1,41 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Test that all of the low-level math operations function as expected +// and that their values and derivatives can be computed using the +// optimizer. +// For this test the optimizer is in mode "lambda", i.e. converting the +// function expression into a lambda function-based evaluation path. +// This test is based on function_verification_01.cc + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_01.h" + + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + run_tests(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/batch_optimizer_01_2a.output b/tests/symengine/batch_optimizer_01_2a.output new file mode 100644 index 0000000000..e733d257a3 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_2a.output @@ -0,0 +1,1510 @@ + +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Float:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Float::OK +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Double:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Double::OK +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex float::OK +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_01_2b.cc b/tests/symengine/batch_optimizer_01_2b.cc new file mode 100644 index 0000000000..f7d93d16ea --- /dev/null +++ b/tests/symengine/batch_optimizer_01_2b.cc @@ -0,0 +1,42 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Test that all of the low-level math operations function as expected +// and that their values and derivatives can be computed using the +// optimizer. +// For this test the optimizer is in mode "lambda", i.e. converting the +// function expression into a lambda function-based evaluation path, and +// all other optimizations (e.g. CSE) have been enabled. +// This test is based on function_verification_01.cc + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_01.h" + + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + run_tests(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/batch_optimizer_01_2b.output b/tests/symengine/batch_optimizer_01_2b.output new file mode 100644 index 0000000000..e733d257a3 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_2b.output @@ -0,0 +1,1510 @@ + +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Float:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Float::OK +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Double:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Double::OK +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex float::OK +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_psi: (25.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.0000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.00000,0.00000) +DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_psi: (1.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.00000,0.00000) +DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_psi: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.00000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.0000,0.00000) +DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.0000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_psi: (2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.25000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.500000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.50000,0.00000) +DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.37500,0.00000) +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_psi: (18.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.0000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.7750,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.00000,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.1833,0.00000) +DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.7251,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_psi: (4.89898,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.816497,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.22474,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.136083,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.204124,0.00000) +DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.306186,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_psi: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.5015,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.7781,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.3343,0.00000) +DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.5015,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_psi: (6.23832,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.15888,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.50000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.38629,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.00000,0.00000) +DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.25000,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.630930,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.191432,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.455120,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.179977,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.138089,0.00000) +DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.227560,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.70927,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.80618,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.95433,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.602060,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.30288,0.00000) +DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.977163,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_psi: (0.618370,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.174642,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.261962,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0858910,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0415156,0.00000) +DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0687078,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_psi: (0.785887,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.137416,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.206123,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.130420,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.126922,0.00000) +DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0873208,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_psi: (0.786843,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.359805,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.539707,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.365696,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.368642,0.00000) +DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.283110,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_psi: (0.167448,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0563436,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0845154,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0380990,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0289767,0.00000) +DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0857228,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_psi: (1.40335,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.0563436,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.0845154,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.0380990,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0289767,0.00000) +DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0857228,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_psi: (0.165149,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0540541,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0810811,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0350621,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0255661,0.00000) +DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0788897,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_psi: (0.717158,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.273461,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.410192,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.217723,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.189853,0.00000) +DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0796843,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_psi: (1.23058,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.159369,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.239053,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.167015,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.170838,0.00000) +DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.136731,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_psi: (0.582783,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.146748,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.220121,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0598219,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.0163591,0.00000) +DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.0855220,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_psi: (0.165905,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0547997,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0821995,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0360394,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0266593,0.00000) +DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0810887,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_psi: (2.47789,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.338062,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.507093,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.115907,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.00482945,0.00000) +DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.260790,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Complex double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_psi: (0.168236,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.0571429,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.0857143,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.0391837,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.0302041,0.00000) +DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.0881633,0.00000) +DEAL:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_01_3a.cc b/tests/symengine/batch_optimizer_01_3a.cc new file mode 100644 index 0000000000..e75bd613d7 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_3a.cc @@ -0,0 +1,41 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Test that all of the low-level math operations function as expected +// and that their values and derivatives can be computed using the +// optimizer. +// For this test the optimizer is in mode "llvm", i.e. using optimisation +// via the LLVM JIT compiler. +// This test is based on function_verification_01.cc + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_01.h" + + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + run_tests(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/batch_optimizer_01_3a.with_symengine_with_llvm=true.output b/tests/symengine/batch_optimizer_01_3a.with_symengine_with_llvm=true.output new file mode 100644 index 0000000000..dd74db6755 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_3a.with_symengine_with_llvm=true.output @@ -0,0 +1,804 @@ + +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Float:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Float::OK +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Double:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_01_3b.cc b/tests/symengine/batch_optimizer_01_3b.cc new file mode 100644 index 0000000000..2e4b7daa86 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_3b.cc @@ -0,0 +1,41 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Test that all of the low-level math operations function as expected +// and that their values and derivatives can be computed using the +// optimizer. +// For this test the optimizer is in mode "llvm", i.e. using optimisation +// via the LLVM JIT compiler. +// This test is based on function_verification_01.cc + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_01.h" + + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + run_tests(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/batch_optimizer_01_3b.with_symengine_with_llvm=true.output b/tests/symengine/batch_optimizer_01_3b.with_symengine_with_llvm=true.output new file mode 100644 index 0000000000..dd74db6755 --- /dev/null +++ b/tests/symengine/batch_optimizer_01_3b.with_symengine_with_llvm=true.output @@ -0,0 +1,804 @@ + +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Float:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Float:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Float:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Float:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Float::OK +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Add:Symbolic computation: Function initialisation::symb_psi: (s1 + s2)**2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*(s1 + s2) +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2 +DEAL:Double:Add:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Add:Symbolic computation: Substitution::subs_psi: 25.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.0000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.00000 +DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Subtract:Symbolic computation: Function initialisation::symb_psi: (s1 - s2)**2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*(s1 - s2) +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2 +DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_psi: 1.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.00000 +DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.00000 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Multiply:Symbolic computation: Function initialisation::symb_psi: s1**2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*s1**2*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2**2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*s1*s2 +DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*s1**2 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_psi: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.00000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.0000 +DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.0000 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Divide:Symbolic computation: Function initialisation::symb_psi: s1**2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*s1**2/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s2**2 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*s1/s2**3 +DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 6*s1**2/s2**4 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_psi: 2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.25000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.500000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.50000 +DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.37500 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Power:Symbolic computation: Function initialisation::symb_psi: 2.0*s1**s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds0: 2.0*s1**(-1 + s2)*s2 +DEAL:Double:Power:Symbolic computation: Differentiation::symb_dpsi_ds1: 2.0*s1**s2*log(s1) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*s1**(-2 + s2)*s2*(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*s1**(-1 + s2)*s2*log(s1) + 2.0*s1**(-1 + s2) +DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*s1**s2*log(s1)**2 +DEAL:Double:Power:Symbolic computation: Substitution::subs_psi: 18.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.0000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.7750 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.00000 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.1833 +DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.7251 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sqrt:Symbolic computation: Function initialisation::symb_psi: 2.0*sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0*s2/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0*s1/sqrt(s1*s2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*s2**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -0.5*s1*s2/(s1*s2)**(3/2) + 1.0*(s1*s2)**(-1/2) +DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.5*s1**2/(s1*s2)**(3/2) +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_psi: 4.89898 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.816497 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.22474 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.136083 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.204124 +DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.306186 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Exponential:Symbolic computation: Function initialisation::symb_psi: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_dpsi_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*exp(s2) +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*exp(s2)*s1 +DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: exp(s2)*s1**2 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_psi: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.5015 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.7781 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.3343 +DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.5015 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm:Symbolic computation: Function initialisation::symb_psi: s1**2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_dpsi_ds1: s1**2/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2) +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2*s1/s2 +DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**2/s2**2 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_psi: 6.23832 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.15888 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.50000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.38629 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.00000 +DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.25000 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm with Base:Symbolic computation: Function initialisation::symb_psi: log(s2)/log(s1) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds0: -log(s2)/(s1*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_dpsi_ds1: 1/(s2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*log(s2)/(s1**2*log(s1)**3) + log(s2)/(s1**2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1/(s1*s2*log(s1)**2) +DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1/(s2**2*log(s1)) +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.630930 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.191432 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.455120 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.179977 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.138089 +DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.227560 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Function initialisation::symb_psi: 0.434294481903252*s1**2*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds0: 0.868588963806504*s1*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_dpsi_ds1: 0.434294481903252*s1**2/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 0.868588963806504*log(s2) +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 0.868588963806504*s1/s2 +DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -0.434294481903252*s1**2/s2**2 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.70927 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.80618 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.95433 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.602060 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.30288 +DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.977163 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sin:Symbolic computation: Function initialisation::symb_psi: sin(s2/s1) +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cos(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_dpsi_ds1: cos(s2/s1)/s1 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*sin(s2/s1)/s1**4 + 2*s2*cos(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cos(s2/s1)/s1**2 + s2*sin(s2/s1)/s1**3 +DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -sin(s2/s1)/s1**2 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_psi: 0.618370 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.174642 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.261962 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0858910 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0415156 +DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0687078 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cos:Symbolic computation: Function initialisation::symb_psi: cos(s2/s1) +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds0: s2*sin(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_dpsi_ds1: -sin(s2/s1)/s1 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2*cos(s2/s1)/s1**4 - 2*s2*sin(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: sin(s2/s1)/s1**2 + s2*cos(s2/s1)/s1**3 +DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -cos(s2/s1)/s1**2 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_psi: 0.785887 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.137416 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.206123 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.130420 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.126922 +DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0873208 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tan:Symbolic computation: Function initialisation::symb_psi: tan(s2/s1) +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 + tan(s2/s1)**2)/s1 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 + tan(s2/s1)**2)/s1**3 + 2*s2**2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**4 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 + tan(s2/s1)**2)/s1**2 - 2*s2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**3 +DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2*tan(s2/s1)*(1 + tan(s2/s1)**2)/s1**2 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_psi: 0.786843 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.359805 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.539707 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.365696 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.368642 +DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.283110 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASin:Symbolic computation: Function initialisation::symb_psi: asin(1.0/(s1*s2)) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASin:Symbolic computation: Substitution::subs_psi: 0.167448 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0563436 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0845154 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0380990 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0289767 +DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0857228 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACos:Symbolic computation: Function initialisation::symb_psi: acos(1.0/(s1*s2)) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds0: 1.0/(s1**2*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_dpsi_ds1: 1.0/(s1*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1**3*s2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 1.0*1/(s1**2*s2**2*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**(3/2)) - 2.0*1/(s1*s2**3*sqrt(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ACos:Symbolic computation: Substitution::subs_psi: 1.40335 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0563436 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.0845154 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.0380990 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0289767 +DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0857228 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan:Symbolic computation: Function initialisation::symb_psi: atan(1.0/(s1*s2)) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -2.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATan:Symbolic computation: Substitution::subs_psi: 0.165149 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0540541 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0810811 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0350621 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0255661 +DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0788897 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATan2:Symbolic computation: Function initialisation::symb_psi: 3.0*atan2(s2, s1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds0: -3.0*s2/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_dpsi_ds1: 3.0*s1/(s1**2 + s2**2) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 6.0*s2**2/(s1**2 + s2**2)**2 - 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -6.0*s1**2/(s1**2 + s2**2)**2 + 3.0*(s1**2 + s2**2)**(-1) +DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -6.0*s1*s2/(s1**2 + s2**2)**2 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_psi: 1.76401 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.461538 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.692308 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.213018 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0887574 +DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.213018 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Sinh:Symbolic computation: Function initialisation::symb_psi: sinh(s2/s1) +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*cosh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_dpsi_ds1: cosh(s2/s1)/s1 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*sinh(s2/s1)/s1**4 + 2*s2*cosh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -cosh(s2/s1)/s1**2 - s2*sinh(s2/s1)/s1**3 +DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: sinh(s2/s1)/s1**2 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_psi: 0.717158 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.273461 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.410192 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.217723 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.189853 +DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0796843 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Cosh:Symbolic computation: Function initialisation::symb_psi: cosh(s2/s1) +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*sinh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_dpsi_ds1: sinh(s2/s1)/s1 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2*cosh(s2/s1)/s1**4 + 2*s2*sinh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -sinh(s2/s1)/s1**2 - s2*cosh(s2/s1)/s1**3 +DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: cosh(s2/s1)/s1**2 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_psi: 1.23058 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.159369 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.239053 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.167015 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.170838 +DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.136731 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Tanh:Symbolic computation: Function initialisation::symb_psi: tanh(s2/s1) +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -s2*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_dpsi_ds1: (1 - tanh(s2/s1)**2)/s1 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(1 - tanh(s2/s1)**2)/s1**3 - 2*s2**2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**4 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -(1 - tanh(s2/s1)**2)/s1**2 + 2*s2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**3 +DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -2*tanh(s2/s1)*(1 - tanh(s2/s1)**2)/s1**2 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_psi: 0.582783 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.146748 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.220121 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0598219 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.0163591 +DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.0855220 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ASinh:Symbolic computation: Function initialisation::symb_psi: asinh(1.0/(s1*s2)) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*1/(s1**5*s2**3*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1**3*s2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -1.0*1/(s1**4*s2**4*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 1.0*1/(s1**2*s2**2*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -1.0*1/(s1**3*s2**5*(1 + 1.0*1/(s1**2*s2**2))**(3/2)) + 2.0*1/(s1*s2**3*sqrt(1 + 1.0*1/(s1**2*s2**2))) +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_psi: 0.165905 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0547997 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0821995 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0360394 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0266593 +DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0810887 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ACosh:Symbolic computation: Function initialisation::symb_psi: acosh(s1*s2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds0: s2/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_dpsi_ds1: s1/sqrt(-1 + s1**2*s2**2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*s2**3/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -s1**2*s2**2/(-1 + s1**2*s2**2)**(3/2) + (-1 + s1**2*s2**2)**(-1/2) +DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -s1**3*s2/(-1 + s1**2*s2**2)**(3/2) +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_psi: 2.47789 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.338062 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.507093 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.115907 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.00482945 +DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.260790 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:ATanh:Symbolic computation: Function initialisation::symb_psi: atanh(1.0/(s1*s2)) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds0: -1.0/(s1**2*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_dpsi_ds1: -1.0/(s1*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*1/(s1**5*s2**3*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1**3*s2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 2.0*1/(s1**4*s2**4*(1 - 1.0*1/(s1**2*s2**2))**2) + 1.0*1/(s1**2*s2**2*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 2.0*1/(s1**3*s2**5*(1 - 1.0*1/(s1**2*s2**2))**2) + 2.0*1/(s1*s2**3*(1 - 1.0*1/(s1**2*s2**2))) +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_psi: 0.168236 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.0571429 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.0857143 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.0391837 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.0302041 +DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.0881633 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erf:Symbolic computation: Function initialisation::symb_psi: s1**2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_dpsi_ds1: 2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(s2) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: 4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: -4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erf:Symbolic computation: Substitution::subs_psi: 8.95790 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.97193 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.186003 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.99064 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.124002 +DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.744011 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s0: s1 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_s1: s2 +DEAL:Double:Erfc:Symbolic computation: Function initialisation::symb_psi: s1**2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds0: 2*s1*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_dpsi_ds1: -2*exp(-s2**2)*s1**2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erfc(s2) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds0: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds1: -4*exp(-s2**2)*s1/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds1_ds1: 4*exp(-s2**2)*s1**2*s2/sqrt(pi) +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_psi: 0.0420996 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.0280664 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.186003 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.00935547 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.124002 +DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.744011 +DEAL:Double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_02_1a.cc b/tests/symengine/batch_optimizer_02_1a.cc new file mode 100644 index 0000000000..3d8a08391a --- /dev/null +++ b/tests/symengine/batch_optimizer_02_1a.cc @@ -0,0 +1,45 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_wrapper_03.cc, except that we invoke the +// batch optimizer before symbolic evaluation takes place. +// +// Here we use only dictionary substitution, and invoke no symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_02.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + const int n_runs = 1000; + run_tests(n_runs); +} diff --git a/tests/symengine/batch_optimizer_02_1a.output b/tests/symengine/batch_optimizer_02_1a.output new file mode 100644 index 0000000000..0565ef7b6f --- /dev/null +++ b/tests/symengine/batch_optimizer_02_1a.output @@ -0,0 +1,22 @@ + +DEAL:Scalar:Float::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Float::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Float:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Float:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Float:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Double::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Double:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Double:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Tensor:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Float:Substitution::substitute: s: 733.14522057327 ds_dx: 1803.37506684305 ds_dy: 4021.22089917923 -2721.50016323639 -2073.1341017929 2076.40974260677 ds_dz: 1.67424568153838 1.97850294809826 1.97850294809826 2.6968452216256 +DEAL:Tensor:Float:Substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Double:Substitution::substitute: s: 733.145160811002 ds_dx: 1803.37488238402 ds_dy: 4021.22068318209 -2721.5000393195 -2073.13387957114 2076.40954281835 ds_dz: 1.67425190103199 1.97851016739326 1.97851016739326 2.69685737072857 +DEAL:Tensor:Double:Substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Tensor:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_02_1b.cc b/tests/symengine/batch_optimizer_02_1b.cc new file mode 100644 index 0000000000..eb8ee58b84 --- /dev/null +++ b/tests/symengine/batch_optimizer_02_1b.cc @@ -0,0 +1,45 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_wrapper_03.cc, except that we invoke the +// batch optimizer before symbolic evaluation takes place. +// +// Here we use only dictionary substitution, but invoke all symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_02.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + const int n_runs = 1000; + run_tests(n_runs); +} diff --git a/tests/symengine/batch_optimizer_02_1b.output b/tests/symengine/batch_optimizer_02_1b.output new file mode 100644 index 0000000000..5bc93a6010 --- /dev/null +++ b/tests/symengine/batch_optimizer_02_1b.output @@ -0,0 +1,22 @@ + +DEAL:Scalar:Float::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Float::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Float:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Float:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Float:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Double::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Double:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Double:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Tensor:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Float:Substitution::substitute: s: 733.14522057327 ds_dx: 1803.37506684305 ds_dy: 4021.22089917923 -2721.50016323639 -2073.1341017929 2076.40974260677 ds_dz: 1.67424568153838 1.97850294809826 1.97850294809826 2.6968452216256 +DEAL:Tensor:Float:Substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Tensor:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Double:Substitution::substitute: s: 733.145160811002 ds_dx: 1803.37488238402 ds_dy: 4021.22068318209 -2721.5000393195 -2073.13387957114 2076.40954281835 ds_dz: 1.67425190103196 1.97851016739323 1.97851016739323 2.69685737072851 +DEAL:Tensor:Double:Substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Tensor:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_02_2a.cc b/tests/symengine/batch_optimizer_02_2a.cc new file mode 100644 index 0000000000..d5a0f31470 --- /dev/null +++ b/tests/symengine/batch_optimizer_02_2a.cc @@ -0,0 +1,44 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_wrapper_03.cc, except that we invoke the +// batch optimizer before symbolic evaluation takes place. +// +// Here we use only lambda substitution,and invoke no symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_02.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + const int n_runs = 1000; + run_tests(n_runs); +} diff --git a/tests/symengine/batch_optimizer_02_2a.output b/tests/symengine/batch_optimizer_02_2a.output new file mode 100644 index 0000000000..0565ef7b6f --- /dev/null +++ b/tests/symengine/batch_optimizer_02_2a.output @@ -0,0 +1,22 @@ + +DEAL:Scalar:Float::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Float::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Float:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Float:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Float:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Double::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Double:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Double:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Tensor:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Float:Substitution::substitute: s: 733.14522057327 ds_dx: 1803.37506684305 ds_dy: 4021.22089917923 -2721.50016323639 -2073.1341017929 2076.40974260677 ds_dz: 1.67424568153838 1.97850294809826 1.97850294809826 2.6968452216256 +DEAL:Tensor:Float:Substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Double:Substitution::substitute: s: 733.145160811002 ds_dx: 1803.37488238402 ds_dy: 4021.22068318209 -2721.5000393195 -2073.13387957114 2076.40954281835 ds_dz: 1.67425190103199 1.97851016739326 1.97851016739326 2.69685737072857 +DEAL:Tensor:Double:Substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Tensor:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_02_2b.cc b/tests/symengine/batch_optimizer_02_2b.cc new file mode 100644 index 0000000000..41c06ff4f3 --- /dev/null +++ b/tests/symengine/batch_optimizer_02_2b.cc @@ -0,0 +1,44 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_wrapper_03.cc, except that we invoke the +// batch optimizer before symbolic evaluation takes place. +// +// Here we use only lambda substitution, but invoke all symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_02.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + const int n_runs = 1000; + run_tests(n_runs); +} diff --git a/tests/symengine/batch_optimizer_02_2b.output b/tests/symengine/batch_optimizer_02_2b.output new file mode 100644 index 0000000000..0565ef7b6f --- /dev/null +++ b/tests/symengine/batch_optimizer_02_2b.output @@ -0,0 +1,22 @@ + +DEAL:Scalar:Float::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Float::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Float:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Float:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Float:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Double::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Double:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Double:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Tensor:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Float:Substitution::substitute: s: 733.14522057327 ds_dx: 1803.37506684305 ds_dy: 4021.22089917923 -2721.50016323639 -2073.1341017929 2076.40974260677 ds_dz: 1.67424568153838 1.97850294809826 1.97850294809826 2.6968452216256 +DEAL:Tensor:Float:Substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Double:Substitution::substitute: s: 733.145160811002 ds_dx: 1803.37488238402 ds_dy: 4021.22068318209 -2721.5000393195 -2073.13387957114 2076.40954281835 ds_dz: 1.67425190103199 1.97851016739326 1.97851016739326 2.69685737072857 +DEAL:Tensor:Double:Substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Tensor:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_02_3a.cc b/tests/symengine/batch_optimizer_02_3a.cc new file mode 100644 index 0000000000..f10465d3cf --- /dev/null +++ b/tests/symengine/batch_optimizer_02_3a.cc @@ -0,0 +1,45 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_wrapper_03.cc, except that we invoke the +// batch optimizer before symbolic evaluation takes place. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// and we invoke no additional symbolic optimizations as well. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_02.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + const int n_runs = 1000; + run_tests(n_runs); +} diff --git a/tests/symengine/batch_optimizer_02_3a.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_02_3a.with_symengine_with_llvm.output new file mode 100644 index 0000000000..55e3b2ea7e --- /dev/null +++ b/tests/symengine/batch_optimizer_02_3a.with_symengine_with_llvm.output @@ -0,0 +1,22 @@ + +DEAL:Scalar:Float::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Float::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Float:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Float:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Float:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Double::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Double:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Double:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Tensor:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Float:Substitution::substitute: s: 733.14522057327 ds_dx: 1803.37506684305 ds_dy: 4021.22089917923 -2721.50016323639 -2073.1341017929 2076.40974260677 ds_dz: 1.67424568153838 1.97850294809826 1.97850294809826 2.6968452216256 +DEAL:Tensor:Float:Substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Float:Optimisation + substitution::evaluation: s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.14 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Tensor:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Double:Substitution::substitute: s: 733.145160811002 ds_dx: 1803.37488238402 ds_dy: 4021.22068318209 -2721.5000393195 -2073.13387957114 2076.40954281835 ds_dz: 1.67425190103196 1.97851016739323 1.97851016739323 2.69685737072851 +DEAL:Tensor:Double:Substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Tensor:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_02_3b.cc b/tests/symengine/batch_optimizer_02_3b.cc new file mode 100644 index 0000000000..ed8fa0c767 --- /dev/null +++ b/tests/symengine/batch_optimizer_02_3b.cc @@ -0,0 +1,45 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_wrapper_03.cc, except that we invoke the +// batch optimizer before symbolic evaluation takes place. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// as well as all additional symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_02.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + const int n_runs = 1000; + run_tests(n_runs); +} diff --git a/tests/symengine/batch_optimizer_02_3b.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_02_3b.with_symengine_with_llvm.output new file mode 100644 index 0000000000..e924ef04ea --- /dev/null +++ b/tests/symengine/batch_optimizer_02_3b.with_symengine_with_llvm.output @@ -0,0 +1,22 @@ + +DEAL:Scalar:Float::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Float::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Float:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Float:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Float:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double::symb_s: 1.5 + 1.5*y/log(x) + 2.0*x**y + sin(0.666666666666667*x*y**2) +DEAL:Scalar:Double::symb_ds_dx: 2.0*x**(-1 + y)*y + 0.666666666666667*y**2*cos(0.666666666666667*x*y**2) - 1.5*y/(x*log(x)**2) +DEAL:Scalar:Double:Substitution::substitute: s: 11.2896853345375 ds_dx: 2.44062401525716 +DEAL:Scalar:Double:Substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Scalar:Double:Optimisation + substitution::evaluation: s: 11.2897 ds_dx: 2.44062 +DEAL:Tensor:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Float:Substitution::substitute: s: 733.14522057327 ds_dx: 1803.37506684305 ds_dy: 4021.22089917923 -2721.50016323639 -2073.1341017929 2076.40974260677 ds_dz: 1.67424568153838 1.97850294809826 1.97850294809826 2.6968452216256 +DEAL:Tensor:Float:Substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Tensor:Float:Optimisation + substitution::evaluation: s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Tensor:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Tensor:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Tensor:Double:Substitution::substitute: s: 733.145160811002 ds_dx: 1803.37488238402 ds_dy: 4021.22068318209 -2721.5000393195 -2073.13387957114 2076.40954281835 ds_dz: 1.67425190103196 1.97851016739323 1.97851016739323 2.69685737072851 +DEAL:Tensor:Double:Substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Tensor:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_03_1a.cc b/tests/symengine/batch_optimizer_03_1a.cc new file mode 100644 index 0000000000..871c83e606 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_1a.cc @@ -0,0 +1,43 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that one can perform substitution of symbolic derivatives that +// are the result of explicit or implicit relationships between symbolic +// variables. +// See tests/symengine/basic_06.cc and tests/symengine/basic_07.cc for +// a more simple example of differentiation of symbols with +// explicit/implicit relationships. +// We invoke the batch optimzer before symbolic evaluation takes place. +// +// Here we use only dictionary substitution, and invoke no symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_03.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_03_1a.output b/tests/symengine/batch_optimizer_03_1a.output new file mode 100644 index 0000000000..15ae931d83 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_1a.output @@ -0,0 +1,86 @@ + +DEAL:Standard::psi: 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Standard::S[0][0]: 2.0*(0.5*mu_e + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::S[0][1]: -2.0*C_01*kappa_e/(C_11*C_00 - C_01**2) +DEAL:Standard::S[1][1]: 2.0*(0.5*mu_e + C_00*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::HH[0][0][0][0]: -4.0*C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][0][1]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][0][0]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][1][0][1]: 1.0*(-2.0*kappa_e/(C_11*C_00 - C_01**2) - 4.0*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][1][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[1][1][0][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][1][1]: -4.0*C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::psi: 15.3629 +DEAL:Standard::S[0][0]: 13.0000 +DEAL:Standard::S[0][1]: 0.00000 +DEAL:Standard::S[1][1]: 13.0000 +DEAL:Standard::HH[0][0][0][0]: -10.0000 +DEAL:Standard::HH[0][0][0][1]: 0.00000 +DEAL:Standard::HH[0][0][1][1]: 0.00000 +DEAL:Standard::HH[0][1][0][0]: 0.00000 +DEAL:Standard::HH[0][1][0][1]: -5.00000 +DEAL:Standard::HH[0][1][1][1]: 0.00000 +DEAL:Standard::HH[1][1][0][0]: 0.00000 +DEAL:Standard::HH[1][1][0][1]: 0.00000 +DEAL:Standard::HH[1][1][1][1]: -10.0000 +DEAL::-------------------------------------------------- +DEAL:Explicit::psi (Q): kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Explicit::psi: 0.5*mu_v*(-3 + 2*C_00**2 + 4*C_01**2 + 2*C_11**2) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e + log(2*C_00**2 + 4*C_01**2 + 2*C_11**2)*kappa_v +DEAL:Explicit::S (Q)[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S[0][0]: 2.0*(0.5*mu_e + 1.0*mu_v*C_00 + 2*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Explicit::S[0][1]: 1.0*(2.0*mu_v*C_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 4*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::S[1][1]: 2.0*(0.5*mu_e + 1.0*mu_v*C_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + 2*C_11*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::HH[0][0][0][0]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 8*C_00**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][0][1]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][0][0]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][1][0][1]: 1.0*(2.0*mu_v - 2*kappa_e/(C_11*C_00 - C_01**2) + 4*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 32*C_01**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][1][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][1][1]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::psi: 53.4081 +DEAL:Explicit::S[0][0]: 34.0000 +DEAL:Explicit::S[0][1]: 0.00000 +DEAL:Explicit::S[1][1]: 34.0000 +DEAL:Explicit::HH[0][0][0][0]: 10.0000 +DEAL:Explicit::HH[0][0][0][1]: 0.00000 +DEAL:Explicit::HH[0][0][1][1]: -1.00000 +DEAL:Explicit::HH[0][1][0][0]: 0.00000 +DEAL:Explicit::HH[0][1][0][1]: 5.50000 +DEAL:Explicit::HH[0][1][1][1]: 0.00000 +DEAL:Explicit::HH[1][1][0][0]: -1.00000 +DEAL:Explicit::HH[1][1][0][1]: 0.00000 +DEAL:Explicit::HH[1][1][1][1]: 10.0000 +DEAL::-------------------------------------------------- +DEAL:Implicit::psi: kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Implicit::S[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::HH[0][0][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_0000 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_0000*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_00*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][0][1]: 2.0*(0.0 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_00*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_0011 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_0011*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_00*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][0]: 2.0*(1.0*mu_v*dQ_dC_i_0100 + 2*dQ_dC_i_0100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][1]: 1.0*(0.0 - 2*kappa_e/(C_11*C_00 - C_01**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 4*Qi_01**2*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][1][1]: 2.0*(1.0*mu_v*dQ_dC_i_0111 + 2*dQ_dC_i_0111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_1100 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_1100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_11*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][1]: 2.0*(0.0 + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_11*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_1111 - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_1111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_11*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::psi: 26.4465 +DEAL:Implicit::S[0][0]: 21.5000 +DEAL:Implicit::S[0][1]: 0.00000 +DEAL:Implicit::S[1][1]: 21.5000 +DEAL:Implicit::HH[0][0][0][0]: 21.5000 +DEAL:Implicit::HH[0][0][0][1]: 0.00000 +DEAL:Implicit::HH[0][0][1][1]: -2.50000 +DEAL:Implicit::HH[0][1][0][0]: 0.00000 +DEAL:Implicit::HH[0][1][0][1]: -5.00000 +DEAL:Implicit::HH[0][1][1][1]: 0.00000 +DEAL:Implicit::HH[1][1][0][0]: -2.50000 +DEAL:Implicit::HH[1][1][0][1]: 0.00000 +DEAL:Implicit::HH[1][1][1][1]: 21.5000 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_03_1b.cc b/tests/symengine/batch_optimizer_03_1b.cc new file mode 100644 index 0000000000..b0ba030ff2 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_1b.cc @@ -0,0 +1,43 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that one can perform substitution of symbolic derivatives that +// are the result of explicit or implicit relationships between symbolic +// variables. +// See tests/symengine/basic_06.cc and tests/symengine/basic_07.cc for +// a more simple example of differentiation of symbols with +// explicit/implicit relationships. +// We invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we use only dictionary substitution, but invoke all symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_03.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_03_1b.output b/tests/symengine/batch_optimizer_03_1b.output new file mode 100644 index 0000000000..15ae931d83 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_1b.output @@ -0,0 +1,86 @@ + +DEAL:Standard::psi: 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Standard::S[0][0]: 2.0*(0.5*mu_e + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::S[0][1]: -2.0*C_01*kappa_e/(C_11*C_00 - C_01**2) +DEAL:Standard::S[1][1]: 2.0*(0.5*mu_e + C_00*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::HH[0][0][0][0]: -4.0*C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][0][1]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][0][0]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][1][0][1]: 1.0*(-2.0*kappa_e/(C_11*C_00 - C_01**2) - 4.0*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][1][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[1][1][0][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][1][1]: -4.0*C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::psi: 15.3629 +DEAL:Standard::S[0][0]: 13.0000 +DEAL:Standard::S[0][1]: 0.00000 +DEAL:Standard::S[1][1]: 13.0000 +DEAL:Standard::HH[0][0][0][0]: -10.0000 +DEAL:Standard::HH[0][0][0][1]: 0.00000 +DEAL:Standard::HH[0][0][1][1]: 0.00000 +DEAL:Standard::HH[0][1][0][0]: 0.00000 +DEAL:Standard::HH[0][1][0][1]: -5.00000 +DEAL:Standard::HH[0][1][1][1]: 0.00000 +DEAL:Standard::HH[1][1][0][0]: 0.00000 +DEAL:Standard::HH[1][1][0][1]: 0.00000 +DEAL:Standard::HH[1][1][1][1]: -10.0000 +DEAL::-------------------------------------------------- +DEAL:Explicit::psi (Q): kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Explicit::psi: 0.5*mu_v*(-3 + 2*C_00**2 + 4*C_01**2 + 2*C_11**2) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e + log(2*C_00**2 + 4*C_01**2 + 2*C_11**2)*kappa_v +DEAL:Explicit::S (Q)[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S[0][0]: 2.0*(0.5*mu_e + 1.0*mu_v*C_00 + 2*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Explicit::S[0][1]: 1.0*(2.0*mu_v*C_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 4*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::S[1][1]: 2.0*(0.5*mu_e + 1.0*mu_v*C_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + 2*C_11*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::HH[0][0][0][0]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 8*C_00**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][0][1]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][0][0]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][1][0][1]: 1.0*(2.0*mu_v - 2*kappa_e/(C_11*C_00 - C_01**2) + 4*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 32*C_01**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][1][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][1][1]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::psi: 53.4081 +DEAL:Explicit::S[0][0]: 34.0000 +DEAL:Explicit::S[0][1]: 0.00000 +DEAL:Explicit::S[1][1]: 34.0000 +DEAL:Explicit::HH[0][0][0][0]: 10.0000 +DEAL:Explicit::HH[0][0][0][1]: 0.00000 +DEAL:Explicit::HH[0][0][1][1]: -1.00000 +DEAL:Explicit::HH[0][1][0][0]: 0.00000 +DEAL:Explicit::HH[0][1][0][1]: 5.50000 +DEAL:Explicit::HH[0][1][1][1]: 0.00000 +DEAL:Explicit::HH[1][1][0][0]: -1.00000 +DEAL:Explicit::HH[1][1][0][1]: 0.00000 +DEAL:Explicit::HH[1][1][1][1]: 10.0000 +DEAL::-------------------------------------------------- +DEAL:Implicit::psi: kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Implicit::S[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::HH[0][0][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_0000 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_0000*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_00*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][0][1]: 2.0*(0.0 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_00*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_0011 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_0011*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_00*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][0]: 2.0*(1.0*mu_v*dQ_dC_i_0100 + 2*dQ_dC_i_0100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][1]: 1.0*(0.0 - 2*kappa_e/(C_11*C_00 - C_01**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 4*Qi_01**2*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][1][1]: 2.0*(1.0*mu_v*dQ_dC_i_0111 + 2*dQ_dC_i_0111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_1100 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_1100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_11*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][1]: 2.0*(0.0 + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_11*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_1111 - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_1111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_11*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::psi: 26.4465 +DEAL:Implicit::S[0][0]: 21.5000 +DEAL:Implicit::S[0][1]: 0.00000 +DEAL:Implicit::S[1][1]: 21.5000 +DEAL:Implicit::HH[0][0][0][0]: 21.5000 +DEAL:Implicit::HH[0][0][0][1]: 0.00000 +DEAL:Implicit::HH[0][0][1][1]: -2.50000 +DEAL:Implicit::HH[0][1][0][0]: 0.00000 +DEAL:Implicit::HH[0][1][0][1]: -5.00000 +DEAL:Implicit::HH[0][1][1][1]: 0.00000 +DEAL:Implicit::HH[1][1][0][0]: -2.50000 +DEAL:Implicit::HH[1][1][0][1]: 0.00000 +DEAL:Implicit::HH[1][1][1][1]: 21.5000 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_03_2a.cc b/tests/symengine/batch_optimizer_03_2a.cc new file mode 100644 index 0000000000..1c88ebec47 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_2a.cc @@ -0,0 +1,42 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that one can perform substitution of symbolic derivatives that +// are the result of explicit or implicit relationships between symbolic +// variables. +// See tests/symengine/basic_06.cc and tests/symengine/basic_07.cc for +// a more simple example of differentiation of symbols with +// explicit/implicit relationships. +// We invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we use only lambda substitution,and invoke no symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_03.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_03_2a.output b/tests/symengine/batch_optimizer_03_2a.output new file mode 100644 index 0000000000..15ae931d83 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_2a.output @@ -0,0 +1,86 @@ + +DEAL:Standard::psi: 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Standard::S[0][0]: 2.0*(0.5*mu_e + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::S[0][1]: -2.0*C_01*kappa_e/(C_11*C_00 - C_01**2) +DEAL:Standard::S[1][1]: 2.0*(0.5*mu_e + C_00*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::HH[0][0][0][0]: -4.0*C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][0][1]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][0][0]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][1][0][1]: 1.0*(-2.0*kappa_e/(C_11*C_00 - C_01**2) - 4.0*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][1][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[1][1][0][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][1][1]: -4.0*C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::psi: 15.3629 +DEAL:Standard::S[0][0]: 13.0000 +DEAL:Standard::S[0][1]: 0.00000 +DEAL:Standard::S[1][1]: 13.0000 +DEAL:Standard::HH[0][0][0][0]: -10.0000 +DEAL:Standard::HH[0][0][0][1]: 0.00000 +DEAL:Standard::HH[0][0][1][1]: 0.00000 +DEAL:Standard::HH[0][1][0][0]: 0.00000 +DEAL:Standard::HH[0][1][0][1]: -5.00000 +DEAL:Standard::HH[0][1][1][1]: 0.00000 +DEAL:Standard::HH[1][1][0][0]: 0.00000 +DEAL:Standard::HH[1][1][0][1]: 0.00000 +DEAL:Standard::HH[1][1][1][1]: -10.0000 +DEAL::-------------------------------------------------- +DEAL:Explicit::psi (Q): kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Explicit::psi: 0.5*mu_v*(-3 + 2*C_00**2 + 4*C_01**2 + 2*C_11**2) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e + log(2*C_00**2 + 4*C_01**2 + 2*C_11**2)*kappa_v +DEAL:Explicit::S (Q)[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S[0][0]: 2.0*(0.5*mu_e + 1.0*mu_v*C_00 + 2*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Explicit::S[0][1]: 1.0*(2.0*mu_v*C_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 4*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::S[1][1]: 2.0*(0.5*mu_e + 1.0*mu_v*C_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + 2*C_11*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::HH[0][0][0][0]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 8*C_00**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][0][1]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][0][0]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][1][0][1]: 1.0*(2.0*mu_v - 2*kappa_e/(C_11*C_00 - C_01**2) + 4*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 32*C_01**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][1][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][1][1]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::psi: 53.4081 +DEAL:Explicit::S[0][0]: 34.0000 +DEAL:Explicit::S[0][1]: 0.00000 +DEAL:Explicit::S[1][1]: 34.0000 +DEAL:Explicit::HH[0][0][0][0]: 10.0000 +DEAL:Explicit::HH[0][0][0][1]: 0.00000 +DEAL:Explicit::HH[0][0][1][1]: -1.00000 +DEAL:Explicit::HH[0][1][0][0]: 0.00000 +DEAL:Explicit::HH[0][1][0][1]: 5.50000 +DEAL:Explicit::HH[0][1][1][1]: 0.00000 +DEAL:Explicit::HH[1][1][0][0]: -1.00000 +DEAL:Explicit::HH[1][1][0][1]: 0.00000 +DEAL:Explicit::HH[1][1][1][1]: 10.0000 +DEAL::-------------------------------------------------- +DEAL:Implicit::psi: kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Implicit::S[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::HH[0][0][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_0000 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_0000*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_00*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][0][1]: 2.0*(0.0 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_00*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_0011 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_0011*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_00*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][0]: 2.0*(1.0*mu_v*dQ_dC_i_0100 + 2*dQ_dC_i_0100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][1]: 1.0*(0.0 - 2*kappa_e/(C_11*C_00 - C_01**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 4*Qi_01**2*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][1][1]: 2.0*(1.0*mu_v*dQ_dC_i_0111 + 2*dQ_dC_i_0111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_1100 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_1100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_11*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][1]: 2.0*(0.0 + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_11*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_1111 - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_1111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_11*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::psi: 26.4465 +DEAL:Implicit::S[0][0]: 21.5000 +DEAL:Implicit::S[0][1]: 0.00000 +DEAL:Implicit::S[1][1]: 21.5000 +DEAL:Implicit::HH[0][0][0][0]: 21.5000 +DEAL:Implicit::HH[0][0][0][1]: 0.00000 +DEAL:Implicit::HH[0][0][1][1]: -2.50000 +DEAL:Implicit::HH[0][1][0][0]: 0.00000 +DEAL:Implicit::HH[0][1][0][1]: -5.00000 +DEAL:Implicit::HH[0][1][1][1]: 0.00000 +DEAL:Implicit::HH[1][1][0][0]: -2.50000 +DEAL:Implicit::HH[1][1][0][1]: 0.00000 +DEAL:Implicit::HH[1][1][1][1]: 21.5000 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_03_2b.cc b/tests/symengine/batch_optimizer_03_2b.cc new file mode 100644 index 0000000000..97373e6e33 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_2b.cc @@ -0,0 +1,42 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that one can perform substitution of symbolic derivatives that +// are the result of explicit or implicit relationships between symbolic +// variables. +// See tests/symengine/basic_06.cc and tests/symengine/basic_07.cc for +// a more simple example of differentiation of symbols with +// explicit/implicit relationships. +// We invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we use only lambda substitution, but invoke all symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_03.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_03_2b.output b/tests/symengine/batch_optimizer_03_2b.output new file mode 100644 index 0000000000..15ae931d83 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_2b.output @@ -0,0 +1,86 @@ + +DEAL:Standard::psi: 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Standard::S[0][0]: 2.0*(0.5*mu_e + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::S[0][1]: -2.0*C_01*kappa_e/(C_11*C_00 - C_01**2) +DEAL:Standard::S[1][1]: 2.0*(0.5*mu_e + C_00*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::HH[0][0][0][0]: -4.0*C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][0][1]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][0][0]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][1][0][1]: 1.0*(-2.0*kappa_e/(C_11*C_00 - C_01**2) - 4.0*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][1][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[1][1][0][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][1][1]: -4.0*C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::psi: 15.3629 +DEAL:Standard::S[0][0]: 13.0000 +DEAL:Standard::S[0][1]: 0.00000 +DEAL:Standard::S[1][1]: 13.0000 +DEAL:Standard::HH[0][0][0][0]: -10.0000 +DEAL:Standard::HH[0][0][0][1]: 0.00000 +DEAL:Standard::HH[0][0][1][1]: 0.00000 +DEAL:Standard::HH[0][1][0][0]: 0.00000 +DEAL:Standard::HH[0][1][0][1]: -5.00000 +DEAL:Standard::HH[0][1][1][1]: 0.00000 +DEAL:Standard::HH[1][1][0][0]: 0.00000 +DEAL:Standard::HH[1][1][0][1]: 0.00000 +DEAL:Standard::HH[1][1][1][1]: -10.0000 +DEAL::-------------------------------------------------- +DEAL:Explicit::psi (Q): kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Explicit::psi: 0.5*mu_v*(-3 + 2*C_00**2 + 4*C_01**2 + 2*C_11**2) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e + log(2*C_00**2 + 4*C_01**2 + 2*C_11**2)*kappa_v +DEAL:Explicit::S (Q)[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S[0][0]: 2.0*(0.5*mu_e + 1.0*mu_v*C_00 + 2*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Explicit::S[0][1]: 1.0*(2.0*mu_v*C_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 4*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::S[1][1]: 2.0*(0.5*mu_e + 1.0*mu_v*C_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + 2*C_11*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::HH[0][0][0][0]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 8*C_00**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][0][1]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][0][0]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][1][0][1]: 1.0*(2.0*mu_v - 2*kappa_e/(C_11*C_00 - C_01**2) + 4*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 32*C_01**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][1][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][1][1]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::psi: 53.4081 +DEAL:Explicit::S[0][0]: 34.0000 +DEAL:Explicit::S[0][1]: 0.00000 +DEAL:Explicit::S[1][1]: 34.0000 +DEAL:Explicit::HH[0][0][0][0]: 10.0000 +DEAL:Explicit::HH[0][0][0][1]: 0.00000 +DEAL:Explicit::HH[0][0][1][1]: -1.00000 +DEAL:Explicit::HH[0][1][0][0]: 0.00000 +DEAL:Explicit::HH[0][1][0][1]: 5.50000 +DEAL:Explicit::HH[0][1][1][1]: 0.00000 +DEAL:Explicit::HH[1][1][0][0]: -1.00000 +DEAL:Explicit::HH[1][1][0][1]: 0.00000 +DEAL:Explicit::HH[1][1][1][1]: 10.0000 +DEAL::-------------------------------------------------- +DEAL:Implicit::psi: kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Implicit::S[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::HH[0][0][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_0000 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_0000*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_00*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][0][1]: 2.0*(0.0 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_00*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_0011 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_0011*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_00*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][0]: 2.0*(1.0*mu_v*dQ_dC_i_0100 + 2*dQ_dC_i_0100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][1]: 1.0*(0.0 - 2*kappa_e/(C_11*C_00 - C_01**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 4*Qi_01**2*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][1][1]: 2.0*(1.0*mu_v*dQ_dC_i_0111 + 2*dQ_dC_i_0111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_1100 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_1100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_11*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][1]: 2.0*(0.0 + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_11*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_1111 - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_1111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_11*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::psi: 26.4465 +DEAL:Implicit::S[0][0]: 21.5000 +DEAL:Implicit::S[0][1]: 0.00000 +DEAL:Implicit::S[1][1]: 21.5000 +DEAL:Implicit::HH[0][0][0][0]: 21.5000 +DEAL:Implicit::HH[0][0][0][1]: 0.00000 +DEAL:Implicit::HH[0][0][1][1]: -2.50000 +DEAL:Implicit::HH[0][1][0][0]: 0.00000 +DEAL:Implicit::HH[0][1][0][1]: -5.00000 +DEAL:Implicit::HH[0][1][1][1]: 0.00000 +DEAL:Implicit::HH[1][1][0][0]: -2.50000 +DEAL:Implicit::HH[1][1][0][1]: 0.00000 +DEAL:Implicit::HH[1][1][1][1]: 21.5000 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_03_3a.cc b/tests/symengine/batch_optimizer_03_3a.cc new file mode 100644 index 0000000000..350e4822dd --- /dev/null +++ b/tests/symengine/batch_optimizer_03_3a.cc @@ -0,0 +1,43 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that one can perform substitution of symbolic derivatives that +// are the result of explicit or implicit relationships between symbolic +// variables. +// See tests/symengine/basic_06.cc and tests/symengine/basic_07.cc for +// a more simple example of differentiation of symbols with +// explicit/implicit relationships. +// We invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// and we invoke no additional symbolic optimizations as well. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_03.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_03_3a.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_03_3a.with_symengine_with_llvm.output new file mode 100644 index 0000000000..15ae931d83 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_3a.with_symengine_with_llvm.output @@ -0,0 +1,86 @@ + +DEAL:Standard::psi: 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Standard::S[0][0]: 2.0*(0.5*mu_e + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::S[0][1]: -2.0*C_01*kappa_e/(C_11*C_00 - C_01**2) +DEAL:Standard::S[1][1]: 2.0*(0.5*mu_e + C_00*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::HH[0][0][0][0]: -4.0*C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][0][1]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][0][0]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][1][0][1]: 1.0*(-2.0*kappa_e/(C_11*C_00 - C_01**2) - 4.0*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][1][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[1][1][0][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][1][1]: -4.0*C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::psi: 15.3629 +DEAL:Standard::S[0][0]: 13.0000 +DEAL:Standard::S[0][1]: 0.00000 +DEAL:Standard::S[1][1]: 13.0000 +DEAL:Standard::HH[0][0][0][0]: -10.0000 +DEAL:Standard::HH[0][0][0][1]: 0.00000 +DEAL:Standard::HH[0][0][1][1]: 0.00000 +DEAL:Standard::HH[0][1][0][0]: 0.00000 +DEAL:Standard::HH[0][1][0][1]: -5.00000 +DEAL:Standard::HH[0][1][1][1]: 0.00000 +DEAL:Standard::HH[1][1][0][0]: 0.00000 +DEAL:Standard::HH[1][1][0][1]: 0.00000 +DEAL:Standard::HH[1][1][1][1]: -10.0000 +DEAL::-------------------------------------------------- +DEAL:Explicit::psi (Q): kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Explicit::psi: 0.5*mu_v*(-3 + 2*C_00**2 + 4*C_01**2 + 2*C_11**2) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e + log(2*C_00**2 + 4*C_01**2 + 2*C_11**2)*kappa_v +DEAL:Explicit::S (Q)[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S[0][0]: 2.0*(0.5*mu_e + 1.0*mu_v*C_00 + 2*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Explicit::S[0][1]: 1.0*(2.0*mu_v*C_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 4*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::S[1][1]: 2.0*(0.5*mu_e + 1.0*mu_v*C_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + 2*C_11*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::HH[0][0][0][0]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 8*C_00**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][0][1]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][0][0]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][1][0][1]: 1.0*(2.0*mu_v - 2*kappa_e/(C_11*C_00 - C_01**2) + 4*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 32*C_01**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][1][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][1][1]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::psi: 53.4081 +DEAL:Explicit::S[0][0]: 34.0000 +DEAL:Explicit::S[0][1]: 0.00000 +DEAL:Explicit::S[1][1]: 34.0000 +DEAL:Explicit::HH[0][0][0][0]: 10.0000 +DEAL:Explicit::HH[0][0][0][1]: 0.00000 +DEAL:Explicit::HH[0][0][1][1]: -1.00000 +DEAL:Explicit::HH[0][1][0][0]: 0.00000 +DEAL:Explicit::HH[0][1][0][1]: 5.50000 +DEAL:Explicit::HH[0][1][1][1]: 0.00000 +DEAL:Explicit::HH[1][1][0][0]: -1.00000 +DEAL:Explicit::HH[1][1][0][1]: 0.00000 +DEAL:Explicit::HH[1][1][1][1]: 10.0000 +DEAL::-------------------------------------------------- +DEAL:Implicit::psi: kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Implicit::S[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::HH[0][0][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_0000 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_0000*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_00*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][0][1]: 2.0*(0.0 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_00*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_0011 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_0011*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_00*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][0]: 2.0*(1.0*mu_v*dQ_dC_i_0100 + 2*dQ_dC_i_0100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][1]: 1.0*(0.0 - 2*kappa_e/(C_11*C_00 - C_01**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 4*Qi_01**2*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][1][1]: 2.0*(1.0*mu_v*dQ_dC_i_0111 + 2*dQ_dC_i_0111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_1100 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_1100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_11*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][1]: 2.0*(0.0 + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_11*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_1111 - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_1111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_11*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::psi: 26.4465 +DEAL:Implicit::S[0][0]: 21.5000 +DEAL:Implicit::S[0][1]: 0.00000 +DEAL:Implicit::S[1][1]: 21.5000 +DEAL:Implicit::HH[0][0][0][0]: 21.5000 +DEAL:Implicit::HH[0][0][0][1]: 0.00000 +DEAL:Implicit::HH[0][0][1][1]: -2.50000 +DEAL:Implicit::HH[0][1][0][0]: 0.00000 +DEAL:Implicit::HH[0][1][0][1]: -5.00000 +DEAL:Implicit::HH[0][1][1][1]: 0.00000 +DEAL:Implicit::HH[1][1][0][0]: -2.50000 +DEAL:Implicit::HH[1][1][0][1]: 0.00000 +DEAL:Implicit::HH[1][1][1][1]: 21.5000 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_03_3b.cc b/tests/symengine/batch_optimizer_03_3b.cc new file mode 100644 index 0000000000..d323e65c7c --- /dev/null +++ b/tests/symengine/batch_optimizer_03_3b.cc @@ -0,0 +1,43 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that one can perform substitution of symbolic derivatives that +// are the result of explicit or implicit relationships between symbolic +// variables. +// See tests/symengine/basic_06.cc and tests/symengine/basic_07.cc for +// a more simple example of differentiation of symbols with +// explicit/implicit relationships. +// We invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// as well as all additional symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_03.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_03_3b.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_03_3b.with_symengine_with_llvm.output new file mode 100644 index 0000000000..15ae931d83 --- /dev/null +++ b/tests/symengine/batch_optimizer_03_3b.with_symengine_with_llvm.output @@ -0,0 +1,86 @@ + +DEAL:Standard::psi: 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Standard::S[0][0]: 2.0*(0.5*mu_e + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::S[0][1]: -2.0*C_01*kappa_e/(C_11*C_00 - C_01**2) +DEAL:Standard::S[1][1]: 2.0*(0.5*mu_e + C_00*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Standard::HH[0][0][0][0]: -4.0*C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][0][1]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][0][0]: 4.0*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[0][1][0][1]: 1.0*(-2.0*kappa_e/(C_11*C_00 - C_01**2) - 4.0*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[0][1][1][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Standard::HH[1][1][0][1]: 4.0*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::HH[1][1][1][1]: -4.0*C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 +DEAL:Standard::psi: 15.3629 +DEAL:Standard::S[0][0]: 13.0000 +DEAL:Standard::S[0][1]: 0.00000 +DEAL:Standard::S[1][1]: 13.0000 +DEAL:Standard::HH[0][0][0][0]: -10.0000 +DEAL:Standard::HH[0][0][0][1]: 0.00000 +DEAL:Standard::HH[0][0][1][1]: 0.00000 +DEAL:Standard::HH[0][1][0][0]: 0.00000 +DEAL:Standard::HH[0][1][0][1]: -5.00000 +DEAL:Standard::HH[0][1][1][1]: 0.00000 +DEAL:Standard::HH[1][1][0][0]: 0.00000 +DEAL:Standard::HH[1][1][0][1]: 0.00000 +DEAL:Standard::HH[1][1][1][1]: -10.0000 +DEAL::-------------------------------------------------- +DEAL:Explicit::psi (Q): kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Explicit::psi: 0.5*mu_v*(-3 + 2*C_00**2 + 4*C_01**2 + 2*C_11**2) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e + log(2*C_00**2 + 4*C_01**2 + 2*C_11**2)*kappa_v +DEAL:Explicit::S (Q)[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S (Q)[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Explicit::S[0][0]: 2.0*(0.5*mu_e + 1.0*mu_v*C_00 + 2*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) + C_11*kappa_e/(C_11*C_00 - C_01**2)) +DEAL:Explicit::S[0][1]: 1.0*(2.0*mu_v*C_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 4*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::S[1][1]: 2.0*(0.5*mu_e + 1.0*mu_v*C_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + 2*C_11*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)) +DEAL:Explicit::HH[0][0][0][0]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 8*C_00**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][0][1]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][0][1][1]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][0][0]: 2.0*(-16*C_00*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2) +DEAL:Explicit::HH[0][1][0][1]: 1.0*(2.0*mu_v - 2*kappa_e/(C_11*C_00 - C_01**2) + 4*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 32*C_01**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[0][1][1][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][0]: 4.0*(kappa_e/(C_11*C_00 - C_01**2) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11*C_00*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][0][1]: 2.0*(2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 16*C_11*C_01*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::HH[1][1][1][1]: 4.0*(1.0*mu_v + 2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2) - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 8*C_11**2*kappa_v/(2*C_00**2 + 4*C_01**2 + 2*C_11**2)**2) +DEAL:Explicit::psi: 53.4081 +DEAL:Explicit::S[0][0]: 34.0000 +DEAL:Explicit::S[0][1]: 0.00000 +DEAL:Explicit::S[1][1]: 34.0000 +DEAL:Explicit::HH[0][0][0][0]: 10.0000 +DEAL:Explicit::HH[0][0][0][1]: 0.00000 +DEAL:Explicit::HH[0][0][1][1]: -1.00000 +DEAL:Explicit::HH[0][1][0][0]: 0.00000 +DEAL:Explicit::HH[0][1][0][1]: 5.50000 +DEAL:Explicit::HH[0][1][1][1]: 0.00000 +DEAL:Explicit::HH[1][1][0][0]: -1.00000 +DEAL:Explicit::HH[1][1][0][1]: 0.00000 +DEAL:Explicit::HH[1][1][1][1]: 10.0000 +DEAL::-------------------------------------------------- +DEAL:Implicit::psi: kappa_v*log(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*mu_v*(-3 + C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 0.5*(-3 + C_00 + C_11)*mu_e + log(C_11*C_00 - C_01**2)*kappa_e +DEAL:Implicit::S[0][0]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_00 + C_11*kappa_e/(C_11*C_00 - C_01**2) + Qi_00*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[0][1]: 1.0*(1.0*mu_v*Qi_01 - 2*C_01*kappa_e/(C_11*C_00 - C_01**2) + 2*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::S[1][1]: 2.0*(0.5*mu_e + 0.5*mu_v*Qi_11 + C_00*kappa_e/(C_11*C_00 - C_01**2) + Qi_11*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)) +DEAL:Implicit::HH[0][0][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_0000 - C_11**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_0000*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_00*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][0][1]: 2.0*(0.0 + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_00*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][0][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_0011 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_0011*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_00*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][0]: 2.0*(1.0*mu_v*dQ_dC_i_0100 + 2*dQ_dC_i_0100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_11*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][0][1]: 1.0*(0.0 - 2*kappa_e/(C_11*C_00 - C_01**2) - 4*C_01**2*kappa_e/(C_11*C_00 - C_01**2)**2 - 4*Qi_01**2*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[0][1][1][1]: 2.0*(1.0*mu_v*dQ_dC_i_0111 + 2*dQ_dC_i_0111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_01*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][0]: 4.0*(0.5*mu_v*dQ_dC_i_1100 + kappa_e/(C_11*C_00 - C_01**2) + dQ_dC_i_1100*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - C_11*C_00*kappa_e/(C_11*C_00 - C_01**2)**2 - Qi_11*kappa_v*(Qi_00 + C_00*dQ_dC_i_0000 + 2*C_01*dQ_dC_i_0100 + C_11*dQ_dC_i_1100)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][0][1]: 2.0*(0.0 + 2*C_00*C_01*kappa_e/(C_11*C_00 - C_01**2)**2 - 2*Qi_11*Qi_01*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::HH[1][1][1][1]: 4.0*(0.5*mu_v*dQ_dC_i_1111 - C_00**2*kappa_e/(C_11*C_00 - C_01**2)**2 + dQ_dC_i_1111*kappa_v/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11) - Qi_11*kappa_v*(Qi_11 + C_00*dQ_dC_i_0011 + 2*C_01*dQ_dC_i_0111 + C_11*dQ_dC_i_1111)/(C_00*Qi_00 + 2*C_01*Qi_01 + C_11*Qi_11)**2) +DEAL:Implicit::psi: 26.4465 +DEAL:Implicit::S[0][0]: 21.5000 +DEAL:Implicit::S[0][1]: 0.00000 +DEAL:Implicit::S[1][1]: 21.5000 +DEAL:Implicit::HH[0][0][0][0]: 21.5000 +DEAL:Implicit::HH[0][0][0][1]: 0.00000 +DEAL:Implicit::HH[0][0][1][1]: -2.50000 +DEAL:Implicit::HH[0][1][0][0]: 0.00000 +DEAL:Implicit::HH[0][1][0][1]: -5.00000 +DEAL:Implicit::HH[0][1][1][1]: 0.00000 +DEAL:Implicit::HH[1][1][0][0]: -2.50000 +DEAL:Implicit::HH[1][1][0][1]: 0.00000 +DEAL:Implicit::HH[1][1][1][1]: 21.5000 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_04_1a.cc b/tests/symengine/batch_optimizer_04_1a.cc new file mode 100644 index 0000000000..cd7de4b7f7 --- /dev/null +++ b/tests/symengine/batch_optimizer_04_1a.cc @@ -0,0 +1,37 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// +// Here we use only dictionary substitution, and invoke no symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_04.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_04_1a.output b/tests/symengine/batch_optimizer_04_1a.output new file mode 100644 index 0000000000..34b291bd9e --- /dev/null +++ b/tests/symengine/batch_optimizer_04_1a.output @@ -0,0 +1,74 @@ + +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::Serializing... +DEAL:Serialization:Float::Serialized optimizer: +DEAL:Serialization:Float::0 0 0 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y + +DEAL:Serialization:Float::Deserializing... +DEAL:Serialization:Float::Deserialized optimizer: +DEAL:Serialization:Float::0 0 0 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::OK +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::Serializing... +DEAL:Serialization:Double::Serialized optimizer: +DEAL:Serialization:Double::0 0 0 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y + +DEAL:Serialization:Double::Deserializing... +DEAL:Serialization:Double::Deserialized optimizer: +DEAL:Serialization:Double::0 0 0 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::OK +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::Serializing... +DEAL:Serialization:Complex float::Serialized optimizer: +DEAL:Serialization:Complex float::0 0 0 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y + +DEAL:Serialization:Complex float::Deserializing... +DEAL:Serialization:Complex float::Deserialized optimizer: +DEAL:Serialization:Complex float::0 0 0 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::OK +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::Serializing... +DEAL:Serialization:Complex double::Serialized optimizer: +DEAL:Serialization:Complex double::0 0 0 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000000e+01 0.00000000000000000e+00 5.00000000000000000e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y + +DEAL:Serialization:Complex double::Deserializing... +DEAL:Serialization:Complex double::Deserialized optimizer: +DEAL:Serialization:Complex double::0 0 0 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000000e+01 0.00000000000000000e+00 5.00000000000000000e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 0 0 2 0 3 x*y 3 x/y +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_04_1b.cc b/tests/symengine/batch_optimizer_04_1b.cc new file mode 100644 index 0000000000..19fb4214c1 --- /dev/null +++ b/tests/symengine/batch_optimizer_04_1b.cc @@ -0,0 +1,37 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// +// Here we use only dictionary substitution, but invoke all symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_04.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_04_1b.output b/tests/symengine/batch_optimizer_04_1b.output new file mode 100644 index 0000000000..8acbc9093c --- /dev/null +++ b/tests/symengine/batch_optimizer_04_1b.output @@ -0,0 +1,74 @@ + +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::Serializing... +DEAL:Serialization:Float::Serialized optimizer: +DEAL:Serialization:Float::0 0 0 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 + +DEAL:Serialization:Float::Deserializing... +DEAL:Serialization:Float::Deserialized optimizer: +DEAL:Serialization:Float::0 0 0 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::OK +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::Serializing... +DEAL:Serialization:Double::Serialized optimizer: +DEAL:Serialization:Double::0 0 0 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 + +DEAL:Serialization:Double::Deserializing... +DEAL:Serialization:Double::Deserialized optimizer: +DEAL:Serialization:Double::0 0 0 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::OK +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::Serializing... +DEAL:Serialization:Complex float::Serialized optimizer: +DEAL:Serialization:Complex float::0 0 0 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 + +DEAL:Serialization:Complex float::Deserializing... +DEAL:Serialization:Complex float::Deserialized optimizer: +DEAL:Serialization:Complex float::0 0 0 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::OK +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::Serializing... +DEAL:Serialization:Complex double::Serialized optimizer: +DEAL:Serialization:Complex double::0 0 0 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000000e+01 0.00000000000000000e+00 5.00000000000000000e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 + +DEAL:Serialization:Complex double::Deserializing... +DEAL:Serialization:Complex double::Deserialized optimizer: +DEAL:Serialization:Complex double::0 0 0 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000000e+01 0.00000000000000000e+00 5.00000000000000000e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 2 0 1 x 1 y 0 0 0 0 2 0 3 x*y 3 x/y 0 0 +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_04_2a.cc b/tests/symengine/batch_optimizer_04_2a.cc new file mode 100644 index 0000000000..84e3e7416e --- /dev/null +++ b/tests/symengine/batch_optimizer_04_2a.cc @@ -0,0 +1,36 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// +// Here we use only lambda substitution,and invoke no symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_04.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_04_2a.output b/tests/symengine/batch_optimizer_04_2a.output new file mode 100644 index 0000000000..00c6095a02 --- /dev/null +++ b/tests/symengine/batch_optimizer_04_2a.output @@ -0,0 +1,74 @@ + +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::Serializing... +DEAL:Serialization:Float::Serialized optimizer: +DEAL:Serialization:Float::0 0 1 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Float::Deserializing... +DEAL:Serialization:Float::Deserialized optimizer: +DEAL:Serialization:Float::0 0 1 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::OK +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::Serializing... +DEAL:Serialization:Double::Serialized optimizer: +DEAL:Serialization:Double::0 0 1 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Double::Deserializing... +DEAL:Serialization:Double::Deserialized optimizer: +DEAL:Serialization:Double::0 0 1 0 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::OK +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::Serializing... +DEAL:Serialization:Complex float::Serialized optimizer: +DEAL:Serialization:Complex float::0 0 1 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Complex float::Deserializing... +DEAL:Serialization:Complex float::Deserialized optimizer: +DEAL:Serialization:Complex float::0 0 1 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::OK +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::Serializing... +DEAL:Serialization:Complex double::Serialized optimizer: +DEAL:Serialization:Complex double::0 0 1 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000036e+01 0.00000000000000000e+00 5.00000000000000089e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Complex double::Deserializing... +DEAL:Serialization:Complex double::Deserialized optimizer: +DEAL:Serialization:Complex double::0 0 1 0 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000036e+01 0.00000000000000000e+00 5.00000000000000089e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_04_2b.cc b/tests/symengine/batch_optimizer_04_2b.cc new file mode 100644 index 0000000000..bd192aa275 --- /dev/null +++ b/tests/symengine/batch_optimizer_04_2b.cc @@ -0,0 +1,36 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// +// Here we use only lambda substitution, but invoke all symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_04.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_04_2b.output b/tests/symengine/batch_optimizer_04_2b.output new file mode 100644 index 0000000000..66539ad24b --- /dev/null +++ b/tests/symengine/batch_optimizer_04_2b.output @@ -0,0 +1,74 @@ + +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::Serializing... +DEAL:Serialization:Float::Serialized optimizer: +DEAL:Serialization:Float::0 0 1 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Float::Deserializing... +DEAL:Serialization:Float::Deserialized optimizer: +DEAL:Serialization:Float::0 0 1 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.000000000e+01 5.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::OK +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::Serializing... +DEAL:Serialization:Double::Serialized optimizer: +DEAL:Serialization:Double::0 0 1 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Double::Deserializing... +DEAL:Serialization:Double::Deserialized optimizer: +DEAL:Serialization:Double::0 0 1 3 0 0 2 0 0 0 0 0 1 x 4 10.0 1 y 3 2.0 0 0 2 0 3 x*y 3 x/y 2 0 2.00000000000000000e+01 5.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::OK +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::Serializing... +DEAL:Serialization:Complex float::Serialized optimizer: +DEAL:Serialization:Complex float::0 0 1 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Complex float::Deserializing... +DEAL:Serialization:Complex float::Deserialized optimizer: +DEAL:Serialization:Complex float::0 0 1 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.000000000e+01 0.000000000e+00 5.000000000e+00 0.000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Complex float::f: x*y +DEAL:Serialization:Complex float::g: x/y +DEAL:Serialization:Complex float::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex float::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex float:: +DEAL:Serialization:Complex float::OK +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::Serializing... +DEAL:Serialization:Complex double::Serialized optimizer: +DEAL:Serialization:Complex double::0 0 1 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000036e+01 0.00000000000000000e+00 5.00000000000000089e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 + +DEAL:Serialization:Complex double::Deserializing... +DEAL:Serialization:Complex double::Deserialized optimizer: +DEAL:Serialization:Complex double::0 0 1 3 0 0 2 0 0 0 0 0 1 x 12 10.0 + 0.0*I 1 y 11 2.0 + 0.0*I 0 0 2 0 3 x*y 3 x/y 0 0 2 0 2.00000000000000036e+01 0.00000000000000000e+00 5.00000000000000089e+00 0.00000000000000000e+00 0 0 2 0 0 0 3 x*y 0 3 x/y 1 1 1 +DEAL:Serialization:Complex double::f: x*y +DEAL:Serialization:Complex double::g: x/y +DEAL:Serialization:Complex double::f(x,y): (20.0000,0.00000) +DEAL:Serialization:Complex double::g(x,y): (5.00000,0.00000) +DEAL:Serialization:Complex double:: +DEAL:Serialization:Complex double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_04_3a.cc b/tests/symengine/batch_optimizer_04_3a.cc new file mode 100644 index 0000000000..ecba04725c --- /dev/null +++ b/tests/symengine/batch_optimizer_04_3a.cc @@ -0,0 +1,37 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// and we invoke no additional symbolic optimizations as well. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_04.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_04_3a.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_04_3a.with_symengine_with_llvm.output new file mode 100644 index 0000000000..0c97826737 --- /dev/null +++ b/tests/symengine/batch_optimizer_04_3a.with_symengine_with_llvm.output @@ -0,0 +1,28 @@ + +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::Serializing... +DEAL:Serialization:Float::Deserializing... +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::OK +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::Serializing... +DEAL:Serialization:Double::Deserializing... +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_04_3b.cc b/tests/symengine/batch_optimizer_04_3b.cc new file mode 100644 index 0000000000..0afc1bb728 --- /dev/null +++ b/tests/symengine/batch_optimizer_04_3b.cc @@ -0,0 +1,37 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// as well as all additional symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_04.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_04_3b.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_04_3b.with_symengine_with_llvm.output new file mode 100644 index 0000000000..0c97826737 --- /dev/null +++ b/tests/symengine/batch_optimizer_04_3b.with_symengine_with_llvm.output @@ -0,0 +1,28 @@ + +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::Serializing... +DEAL:Serialization:Float::Deserializing... +DEAL:Serialization:Float::f: x*y +DEAL:Serialization:Float::g: x/y +DEAL:Serialization:Float::f(x,y): 20.0000 +DEAL:Serialization:Float::g(x,y): 5.00000 +DEAL:Serialization:Float:: +DEAL:Serialization:Float::OK +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::Serializing... +DEAL:Serialization:Double::Deserializing... +DEAL:Serialization:Double::f: x*y +DEAL:Serialization:Double::g: x/y +DEAL:Serialization:Double::f(x,y): 20.0000 +DEAL:Serialization:Double::g(x,y): 5.00000 +DEAL:Serialization:Double:: +DEAL:Serialization:Double::OK +DEAL::OK diff --git a/tests/symengine/batch_optimizer_05_1a.cc b/tests/symengine/batch_optimizer_05_1a.cc new file mode 100644 index 0000000000..568f20226a --- /dev/null +++ b/tests/symengine/batch_optimizer_05_1a.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy only the optimizer and keep the other expressions +// that were used to initialize it. +// +// Here we use only dictionary substitution, and invoke no symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_05.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_05_1a.output b/tests/symengine/batch_optimizer_05_1a.output new file mode 100644 index 0000000000..bad4c60e63 --- /dev/null +++ b/tests/symengine/batch_optimizer_05_1a.output @@ -0,0 +1,38 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001688e+02 1.80337488238402102e+03 4.02122068318208676e+03 -2.72150003931949686e+03 -2.07313387957113946e+03 2.07640954281834865e+03 1.67425190103196075e+00 2.69685737072851328e+00 1.97851016739322949e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811001915e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208903e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322927e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_05_1b.cc b/tests/symengine/batch_optimizer_05_1b.cc new file mode 100644 index 0000000000..2c50ac2dea --- /dev/null +++ b/tests/symengine/batch_optimizer_05_1b.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy only the optimizer and keep the other expressions +// that were used to initialize it. +// +// Here we use only dictionary substitution, but invoke all symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_05.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_05_1b.output b/tests/symengine/batch_optimizer_05_1b.output new file mode 100644 index 0000000000..dd5ff9c551 --- /dev/null +++ b/tests/symengine/batch_optimizer_05_1b.output @@ -0,0 +1,38 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220703e+03 -2.721500000e+03 -2.073134033e+03 2.076409668e+03 1.674248815e+00 2.696851254e+00 1.978506565e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 16 0 0 0 2 x0 66 0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 9 2.0*x**x3 2 x5 29 z_00**2 + 2*z_01**2 + z_11**2 2 x6 14 log(1.0*x5/x2) 2 x7 8 1.5*y_11 2 x8 9 log(x)*x4 2 x9 25 0.666666666666667*cos(x0) 3 x10 8 1.5*y_10 3 x11 7 x9*z_01 3 x12 8 1.5*y_01 3 x13 8 1.5*y_00 3 x14 5 x2/x5 3 x15 7 3.0*x14 9 0 30 1.5 + x4 + 1.5*x2*x6 + sin(x0) 19 2.0*x**(-1 + x3)*x2 31 -x7 + x6*x7 + x8*y_11 + x9*z_00 28 x10 + x11 - x6*x10 - x8*y_10 28 x11 + x12 - x6*x12 - x8*y_01 33 -x13 + x6*x13 + x8*y_00 + x9*z_11 18 x15*z_00 + x9*y_00 18 x15*z_11 + x9*y_11 39 0.5*(6.0*x14*z_01 + x9*(x1 + 1.0*y_01)) 0 0 + +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001574e+02 1.80337488238402102e+03 4.02122068318208630e+03 -2.72150003931949686e+03 -2.07313387957113900e+03 2.07640954281834820e+03 1.67425190103196075e+00 2.69685737072851373e+00 1.97851016739322993e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 16 0 0 0 2 x0 66 0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 9 2.0*x**x3 2 x5 29 z_00**2 + 2*z_01**2 + z_11**2 2 x6 14 log(1.0*x5/x2) 2 x7 8 1.5*y_11 2 x8 9 log(x)*x4 2 x9 25 0.666666666666667*cos(x0) 3 x10 8 1.5*y_10 3 x11 7 x9*z_01 3 x12 8 1.5*y_01 3 x13 8 1.5*y_00 3 x14 5 x2/x5 3 x15 7 3.0*x14 9 0 30 1.5 + x4 + 1.5*x2*x6 + sin(x0) 19 2.0*x**(-1 + x3)*x2 31 -x7 + x6*x7 + x8*y_11 + x9*z_00 28 x10 + x11 - x6*x10 - x8*y_10 28 x11 + x12 - x6*x12 - x8*y_01 33 -x13 + x6*x13 + x8*y_00 + x9*z_11 18 x15*z_00 + x9*y_00 18 x15*z_11 + x9*y_11 39 0.5*(6.0*x14*z_01 + x9*(x1 + 1.0*y_01)) 0 0 + +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220703e+03 0.000000000e+00 -2.721500000e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674248815e+00 0.000000000e+00 2.696851254e+00 0.000000000e+00 1.978506565e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 17 0 0 0 2 x0 76 (0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 5 x**x3 2 x5 16 (2.0 + 0.0*I)*x4 2 x6 29 z_00**2 + 2*z_01**2 + z_11**2 2 x7 14 log(1.0*x6/x2) 2 x8 16 (1.5 + 0.0*I)*x7 2 x9 6 log(x) 3 x10 5 x5*x9 3 x11 35 (0.666666666666667 + 0.0*I)*cos(x0) 3 x12 21 (-2.0 + 0.0*I)*x4*x9 3 x13 18 (-1.5 + 0.0*I)*x7 3 x14 8 x11*z_01 3 x15 5 x2/x6 3 x16 17 (3.0 + 0.0*I)*x15 9 0 34 1.5 + 0.0*I + x5 + x2*x8 + sin(x0) 29 (2.0 + 0.0*I)*x**(-1 + x3)*x2 52 (-1.5 + 0.0*I)*y_11 + x10*y_11 + x11*z_00 + x8*y_11 46 x14 + (1.5 + 0.0*I)*y_10 + x12*y_10 + x13*y_10 46 x14 + (1.5 + 0.0*I)*y_01 + x12*y_01 + x13*y_01 52 (-1.5 + 0.0*I)*y_00 + x10*y_00 + x11*z_11 + x8*y_00 19 x11*y_00 + x16*z_00 19 x11*y_11 + x16*z_11 50 0.5*(x11*(x1 + 1.0*y_01) + (6.0 + 0.0*I)*x15*z_01) 0 0 + +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811002029e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208858e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322949e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 17 0 0 0 2 x0 76 (0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 5 x**x3 2 x5 16 (2.0 + 0.0*I)*x4 2 x6 29 z_00**2 + 2*z_01**2 + z_11**2 2 x7 14 log(1.0*x6/x2) 2 x8 16 (1.5 + 0.0*I)*x7 2 x9 6 log(x) 3 x10 5 x5*x9 3 x11 35 (0.666666666666667 + 0.0*I)*cos(x0) 3 x12 21 (-2.0 + 0.0*I)*x4*x9 3 x13 18 (-1.5 + 0.0*I)*x7 3 x14 8 x11*z_01 3 x15 5 x2/x6 3 x16 17 (3.0 + 0.0*I)*x15 9 0 34 1.5 + 0.0*I + x5 + x2*x8 + sin(x0) 29 (2.0 + 0.0*I)*x**(-1 + x3)*x2 52 (-1.5 + 0.0*I)*y_11 + x10*y_11 + x11*z_00 + x8*y_11 46 x14 + (1.5 + 0.0*I)*y_10 + x12*y_10 + x13*y_10 46 x14 + (1.5 + 0.0*I)*y_01 + x12*y_01 + x13*y_01 52 (-1.5 + 0.0*I)*y_00 + x10*y_00 + x11*z_11 + x8*y_00 19 x11*y_00 + x16*z_00 19 x11*y_11 + x16*z_11 50 0.5*(x11*(x1 + 1.0*y_01) + (6.0 + 0.0*I)*x15*z_01) 0 0 + +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_05_2a.cc b/tests/symengine/batch_optimizer_05_2a.cc new file mode 100644 index 0000000000..eb069b204d --- /dev/null +++ b/tests/symengine/batch_optimizer_05_2a.cc @@ -0,0 +1,38 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy only the optimizer and keep the other expressions +// that were used to initialize it. +// +// Here we use only lambda substitution,and invoke no symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_05.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_05_2a.output b/tests/symengine/batch_optimizer_05_2a.output new file mode 100644 index 0000000000..ced3db26a0 --- /dev/null +++ b/tests/symengine/batch_optimizer_05_2a.output @@ -0,0 +1,38 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001688e+02 1.80337488238402102e+03 4.02122068318208676e+03 -2.72150003931949686e+03 -2.07313387957113946e+03 2.07640954281834865e+03 1.67425190103196075e+00 2.69685737072851328e+00 1.97851016739322949e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811001915e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208949e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851373e+00 0.00000000000000000e+00 1.97851016739322971e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_05_2b.cc b/tests/symengine/batch_optimizer_05_2b.cc new file mode 100644 index 0000000000..a107e89001 --- /dev/null +++ b/tests/symengine/batch_optimizer_05_2b.cc @@ -0,0 +1,38 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy only the optimizer and keep the other expressions +// that were used to initialize it. +// +// Here we use only lambda substitution, but invoke all symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_05.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_05_2b.output b/tests/symengine/batch_optimizer_05_2b.output new file mode 100644 index 0000000000..6ed6a70443 --- /dev/null +++ b/tests/symengine/batch_optimizer_05_2b.output @@ -0,0 +1,38 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001574e+02 1.80337488238402102e+03 4.02122068318208630e+03 -2.72150003931949686e+03 -2.07313387957113900e+03 2.07640954281834820e+03 1.67425190103196075e+00 2.69685737072851373e+00 1.97851016739322993e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 -3.342597466e-13 -2.073134033e+03 -2.546741030e-13 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811002029e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208903e+03 0.00000000000000000e+00 -2.72150003931949823e+03 -3.34259735212203695e-13 -2.07313387957114037e+03 -2.54674083971202827e-13 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196031e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322971e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_05_3a.cc b/tests/symengine/batch_optimizer_05_3a.cc new file mode 100644 index 0000000000..505b9ce95b --- /dev/null +++ b/tests/symengine/batch_optimizer_05_3a.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy only the optimizer and keep the other expressions +// that were used to initialize it. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// and we invoke no additional symbolic optimizations as well. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_05.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_05_3a.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_05_3a.with_symengine_with_llvm.output new file mode 100644 index 0000000000..1a2a377eb0 --- /dev/null +++ b/tests/symengine/batch_optimizer_05_3a.with_symengine_with_llvm.output @@ -0,0 +1,16 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.14 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.14 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.14 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_05_3b.cc b/tests/symengine/batch_optimizer_05_3b.cc new file mode 100644 index 0000000000..3e192ba749 --- /dev/null +++ b/tests/symengine/batch_optimizer_05_3b.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy only the optimizer and keep the other expressions +// that were used to initialize it. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// as well as all additional symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_05.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_05_3b.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_05_3b.with_symengine_with_llvm.output new file mode 100644 index 0000000000..dcd6aec8fd --- /dev/null +++ b/tests/symengine/batch_optimizer_05_3b.with_symengine_with_llvm.output @@ -0,0 +1,16 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_06_1a.cc b/tests/symengine/batch_optimizer_06_1a.cc new file mode 100644 index 0000000000..28d65eb685 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_1a.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy the optimizer as well as all other expressions +// and symbols that were used in the creation of the optimizer. +// +// Here we use only dictionary substitution, and invoke no symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_06.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_06_1a.output b/tests/symengine/batch_optimizer_06_1a.output new file mode 100644 index 0000000000..72e15d61fc --- /dev/null +++ b/tests/symengine/batch_optimizer_06_1a.output @@ -0,0 +1,62 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Float:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001688e+02 1.80337488238402102e+03 4.02122068318208676e+03 -2.72150003931949686e+03 -2.07313387957113946e+03 2.07640954281834865e+03 1.67425190103196075e+00 2.69685737072851328e+00 1.97851016739322949e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Double:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001688e+02 1.80337488238402102e+03 4.02122068318208676e+03 -2.72150003931949686e+03 -2.07313387957113946e+03 2.07640954281834865e+03 1.67425190103196075e+00 2.69685737072851328e+00 1.97851016739322949e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Complex float:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811001915e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208903e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322927e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) + +DEAL:Serialization:Complex double:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 0 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811001915e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208903e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322927e+00 0.00000000000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 0 0 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_06_1b.cc b/tests/symengine/batch_optimizer_06_1b.cc new file mode 100644 index 0000000000..95478a4d2a --- /dev/null +++ b/tests/symengine/batch_optimizer_06_1b.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy the optimizer as well as all other expressions +// and symbols that were used in the creation of the optimizer. +// +// Here we use only dictionary substitution, but invoke all symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_06.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_06_1b.output b/tests/symengine/batch_optimizer_06_1b.output new file mode 100644 index 0000000000..38335c3bc5 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_1b.output @@ -0,0 +1,62 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220703e+03 -2.721500000e+03 -2.073134033e+03 2.076409668e+03 1.674248815e+00 2.696851254e+00 1.978506565e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 16 0 0 0 2 x0 66 0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 9 2.0*x**x3 2 x5 29 z_00**2 + 2*z_01**2 + z_11**2 2 x6 14 log(1.0*x5/x2) 2 x7 8 1.5*y_11 2 x8 9 log(x)*x4 2 x9 25 0.666666666666667*cos(x0) 3 x10 8 1.5*y_10 3 x11 7 x9*z_01 3 x12 8 1.5*y_01 3 x13 8 1.5*y_00 3 x14 5 x2/x5 3 x15 7 3.0*x14 9 0 30 1.5 + x4 + 1.5*x2*x6 + sin(x0) 19 2.0*x**(-1 + x3)*x2 31 -x7 + x6*x7 + x8*y_11 + x9*z_00 28 x10 + x11 - x6*x10 - x8*y_10 28 x11 + x12 - x6*x12 - x8*y_01 33 -x13 + x6*x13 + x8*y_00 + x9*z_11 18 x15*z_00 + x9*y_00 18 x15*z_11 + x9*y_11 39 0.5*(6.0*x14*z_01 + x9*(x1 + 1.0*y_01)) 0 0 + +DEAL:Serialization:Float:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220703e+03 -2.721500000e+03 -2.073134033e+03 2.076409668e+03 1.674248815e+00 2.696851254e+00 1.978506565e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 16 0 0 0 2 x0 66 0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 9 2.0*x**x3 2 x5 29 z_00**2 + 2*z_01**2 + z_11**2 2 x6 14 log(1.0*x5/x2) 2 x7 8 1.5*y_11 2 x8 9 log(x)*x4 2 x9 25 0.666666666666667*cos(x0) 3 x10 8 1.5*y_10 3 x11 7 x9*z_01 3 x12 8 1.5*y_01 3 x13 8 1.5*y_00 3 x14 5 x2/x5 3 x15 7 3.0*x14 9 0 30 1.5 + x4 + 1.5*x2*x6 + sin(x0) 19 2.0*x**(-1 + x3)*x2 31 -x7 + x6*x7 + x8*y_11 + x9*z_00 28 x10 + x11 - x6*x10 - x8*y_10 28 x11 + x12 - x6*x12 - x8*y_01 33 -x13 + x6*x13 + x8*y_00 + x9*z_11 18 x15*z_00 + x9*y_00 18 x15*z_11 + x9*y_11 39 0.5*(6.0*x14*z_01 + x9*(x1 + 1.0*y_01)) 0 0 +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001574e+02 1.80337488238402102e+03 4.02122068318208630e+03 -2.72150003931949686e+03 -2.07313387957113900e+03 2.07640954281834820e+03 1.67425190103196075e+00 2.69685737072851373e+00 1.97851016739322993e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 16 0 0 0 2 x0 66 0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 9 2.0*x**x3 2 x5 29 z_00**2 + 2*z_01**2 + z_11**2 2 x6 14 log(1.0*x5/x2) 2 x7 8 1.5*y_11 2 x8 9 log(x)*x4 2 x9 25 0.666666666666667*cos(x0) 3 x10 8 1.5*y_10 3 x11 7 x9*z_01 3 x12 8 1.5*y_01 3 x13 8 1.5*y_00 3 x14 5 x2/x5 3 x15 7 3.0*x14 9 0 30 1.5 + x4 + 1.5*x2*x6 + sin(x0) 19 2.0*x**(-1 + x3)*x2 31 -x7 + x6*x7 + x8*y_11 + x9*z_00 28 x10 + x11 - x6*x10 - x8*y_10 28 x11 + x12 - x6*x12 - x8*y_01 33 -x13 + x6*x13 + x8*y_00 + x9*z_11 18 x15*z_00 + x9*y_00 18 x15*z_11 + x9*y_11 39 0.5*(6.0*x14*z_01 + x9*(x1 + 1.0*y_01)) 0 0 + +DEAL:Serialization:Double:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001574e+02 1.80337488238402102e+03 4.02122068318208630e+03 -2.72150003931949686e+03 -2.07313387957113900e+03 2.07640954281834820e+03 1.67425190103196075e+00 2.69685737072851373e+00 1.97851016739322993e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 16 0 0 0 2 x0 66 0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 9 2.0*x**x3 2 x5 29 z_00**2 + 2*z_01**2 + z_11**2 2 x6 14 log(1.0*x5/x2) 2 x7 8 1.5*y_11 2 x8 9 log(x)*x4 2 x9 25 0.666666666666667*cos(x0) 3 x10 8 1.5*y_10 3 x11 7 x9*z_01 3 x12 8 1.5*y_01 3 x13 8 1.5*y_00 3 x14 5 x2/x5 3 x15 7 3.0*x14 9 0 30 1.5 + x4 + 1.5*x2*x6 + sin(x0) 19 2.0*x**(-1 + x3)*x2 31 -x7 + x6*x7 + x8*y_11 + x9*z_00 28 x10 + x11 - x6*x10 - x8*y_10 28 x11 + x12 - x6*x12 - x8*y_01 33 -x13 + x6*x13 + x8*y_00 + x9*z_11 18 x15*z_00 + x9*y_00 18 x15*z_11 + x9*y_11 39 0.5*(6.0*x14*z_01 + x9*(x1 + 1.0*y_01)) 0 0 +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220703e+03 0.000000000e+00 -2.721500000e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674248815e+00 0.000000000e+00 2.696851254e+00 0.000000000e+00 1.978506565e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 17 0 0 0 2 x0 76 (0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 5 x**x3 2 x5 16 (2.0 + 0.0*I)*x4 2 x6 29 z_00**2 + 2*z_01**2 + z_11**2 2 x7 14 log(1.0*x6/x2) 2 x8 16 (1.5 + 0.0*I)*x7 2 x9 6 log(x) 3 x10 5 x5*x9 3 x11 35 (0.666666666666667 + 0.0*I)*cos(x0) 3 x12 21 (-2.0 + 0.0*I)*x4*x9 3 x13 18 (-1.5 + 0.0*I)*x7 3 x14 8 x11*z_01 3 x15 5 x2/x6 3 x16 17 (3.0 + 0.0*I)*x15 9 0 34 1.5 + 0.0*I + x5 + x2*x8 + sin(x0) 29 (2.0 + 0.0*I)*x**(-1 + x3)*x2 52 (-1.5 + 0.0*I)*y_11 + x10*y_11 + x11*z_00 + x8*y_11 46 x14 + (1.5 + 0.0*I)*y_10 + x12*y_10 + x13*y_10 46 x14 + (1.5 + 0.0*I)*y_01 + x12*y_01 + x13*y_01 52 (-1.5 + 0.0*I)*y_00 + x10*y_00 + x11*z_11 + x8*y_00 19 x11*y_00 + x16*z_00 19 x11*y_11 + x16*z_11 50 0.5*(x11*(x1 + 1.0*y_01) + (6.0 + 0.0*I)*x15*z_01) 0 0 + +DEAL:Serialization:Complex float:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220703e+03 0.000000000e+00 -2.721500000e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674248815e+00 0.000000000e+00 2.696851254e+00 0.000000000e+00 1.978506565e+00 0.000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 17 0 0 0 2 x0 76 (0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 5 x**x3 2 x5 16 (2.0 + 0.0*I)*x4 2 x6 29 z_00**2 + 2*z_01**2 + z_11**2 2 x7 14 log(1.0*x6/x2) 2 x8 16 (1.5 + 0.0*I)*x7 2 x9 6 log(x) 3 x10 5 x5*x9 3 x11 35 (0.666666666666667 + 0.0*I)*cos(x0) 3 x12 21 (-2.0 + 0.0*I)*x4*x9 3 x13 18 (-1.5 + 0.0*I)*x7 3 x14 8 x11*z_01 3 x15 5 x2/x6 3 x16 17 (3.0 + 0.0*I)*x15 9 0 34 1.5 + 0.0*I + x5 + x2*x8 + sin(x0) 29 (2.0 + 0.0*I)*x**(-1 + x3)*x2 52 (-1.5 + 0.0*I)*y_11 + x10*y_11 + x11*z_00 + x8*y_11 46 x14 + (1.5 + 0.0*I)*y_10 + x12*y_10 + x13*y_10 46 x14 + (1.5 + 0.0*I)*y_01 + x12*y_01 + x13*y_01 52 (-1.5 + 0.0*I)*y_00 + x10*y_00 + x11*z_11 + x8*y_00 19 x11*y_00 + x16*z_00 19 x11*y_11 + x16*z_11 50 0.5*(x11*(x1 + 1.0*y_01) + (6.0 + 0.0*I)*x15*z_01) 0 0 +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811002029e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208858e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322949e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 17 0 0 0 2 x0 76 (0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 5 x**x3 2 x5 16 (2.0 + 0.0*I)*x4 2 x6 29 z_00**2 + 2*z_01**2 + z_11**2 2 x7 14 log(1.0*x6/x2) 2 x8 16 (1.5 + 0.0*I)*x7 2 x9 6 log(x) 3 x10 5 x5*x9 3 x11 35 (0.666666666666667 + 0.0*I)*cos(x0) 3 x12 21 (-2.0 + 0.0*I)*x4*x9 3 x13 18 (-1.5 + 0.0*I)*x7 3 x14 8 x11*z_01 3 x15 5 x2/x6 3 x16 17 (3.0 + 0.0*I)*x15 9 0 34 1.5 + 0.0*I + x5 + x2*x8 + sin(x0) 29 (2.0 + 0.0*I)*x**(-1 + x3)*x2 52 (-1.5 + 0.0*I)*y_11 + x10*y_11 + x11*z_00 + x8*y_11 46 x14 + (1.5 + 0.0*I)*y_10 + x12*y_10 + x13*y_10 46 x14 + (1.5 + 0.0*I)*y_01 + x12*y_01 + x13*y_01 52 (-1.5 + 0.0*I)*y_00 + x10*y_00 + x11*z_11 + x8*y_00 19 x11*y_00 + x16*z_00 19 x11*y_11 + x16*z_11 50 0.5*(x11*(x1 + 1.0*y_01) + (6.0 + 0.0*I)*x15*z_01) 0 0 + +DEAL:Serialization:Complex double:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 0 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811002029e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208858e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322949e+00 0.00000000000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 8 0 1 x 4 z_11 4 z_00 4 z_01 4 y_01 4 y_00 4 y_11 4 y_10 0 0 17 0 0 0 2 x0 76 (0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01) 2 x1 8 1.0*y_10 2 x2 24 -x1*y_01 + 1.0*y_00*y_11 2 x3 6 1.0*x2 2 x4 5 x**x3 2 x5 16 (2.0 + 0.0*I)*x4 2 x6 29 z_00**2 + 2*z_01**2 + z_11**2 2 x7 14 log(1.0*x6/x2) 2 x8 16 (1.5 + 0.0*I)*x7 2 x9 6 log(x) 3 x10 5 x5*x9 3 x11 35 (0.666666666666667 + 0.0*I)*cos(x0) 3 x12 21 (-2.0 + 0.0*I)*x4*x9 3 x13 18 (-1.5 + 0.0*I)*x7 3 x14 8 x11*z_01 3 x15 5 x2/x6 3 x16 17 (3.0 + 0.0*I)*x15 9 0 34 1.5 + 0.0*I + x5 + x2*x8 + sin(x0) 29 (2.0 + 0.0*I)*x**(-1 + x3)*x2 52 (-1.5 + 0.0*I)*y_11 + x10*y_11 + x11*z_00 + x8*y_11 46 x14 + (1.5 + 0.0*I)*y_10 + x12*y_10 + x13*y_10 46 x14 + (1.5 + 0.0*I)*y_01 + x12*y_01 + x13*y_01 52 (-1.5 + 0.0*I)*y_00 + x10*y_00 + x11*z_11 + x8*y_00 19 x11*y_00 + x16*z_00 19 x11*y_11 + x16*z_11 50 0.5*(x11*(x1 + 1.0*y_01) + (6.0 + 0.0*I)*x15*z_01) 0 0 +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_06_2a.cc b/tests/symengine/batch_optimizer_06_2a.cc new file mode 100644 index 0000000000..b90cc79ad5 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_2a.cc @@ -0,0 +1,38 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy the optimizer as well as all other expressions +// and symbols that were used in the creation of the optimizer. +// +// Here we use only lambda substitution,and invoke no symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_06.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_06_2a.output b/tests/symengine/batch_optimizer_06_2a.output new file mode 100644 index 0000000000..9ee63b2e76 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_2a.output @@ -0,0 +1,62 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Float:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001688e+02 1.80337488238402102e+03 4.02122068318208676e+03 -2.72150003931949686e+03 -2.07313387957113946e+03 2.07640954281834865e+03 1.67425190103196075e+00 2.69685737072851328e+00 1.97851016739322949e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Double:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001688e+02 1.80337488238402102e+03 4.02122068318208676e+03 -2.72150003931949686e+03 -2.07313387957113946e+03 2.07640954281834865e+03 1.67425190103196075e+00 2.69685737072851328e+00 1.97851016739322949e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex float:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 0.000000000e+00 -2.073134033e+03 0.000000000e+00 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811001915e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208949e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851373e+00 0.00000000000000000e+00 1.97851016739322971e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex double:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 1 0 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811001915e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208949e+03 0.00000000000000000e+00 -2.72150003931949823e+03 0.00000000000000000e+00 -2.07313387957114037e+03 0.00000000000000000e+00 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196053e+00 0.00000000000000000e+00 2.69685737072851373e+00 0.00000000000000000e+00 1.97851016739322971e+00 0.00000000000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,0.00000) (-2073.13,0.00000) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_06_2b.cc b/tests/symengine/batch_optimizer_06_2b.cc new file mode 100644 index 0000000000..4a9eb90e34 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_2b.cc @@ -0,0 +1,38 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy the optimizer as well as all other expressions +// and symbols that were used in the creation of the optimizer. +// +// Here we use only lambda substitution, but invoke all symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_06.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_06_2b.output b/tests/symengine/batch_optimizer_06_2b.output new file mode 100644 index 0000000000..e647497e87 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_2b.output @@ -0,0 +1,62 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Float:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Float:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 16 5.69999980926514 4 z_00 16 4.69999980926514 4 z_01 16 5.69999980926514 4 y_01 16 3.20000004768372 4 y_00 16 3.20000004768372 4 y_11 16 6.19999980926514 4 y_10 16 4.19999980926514 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.331452026e+02 1.803375122e+03 4.021220947e+03 -2.721500244e+03 -2.073134033e+03 2.076409668e+03 1.674245715e+00 2.696845293e+00 1.978502989e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97850 1.97850 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001574e+02 1.80337488238402102e+03 4.02122068318208630e+03 -2.72150003931949686e+03 -2.07313387957113900e+03 2.07640954281834820e+03 1.67425190103196075e+00 2.69685737072851373e+00 1.97851016739322993e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 254 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 254 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 254 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 254 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 198 0.5*(0.666666666666667*(0.0 + 1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 1 1 + +DEAL:Serialization:Double:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Double:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 3 5.7 4 z_00 3 4.7 4 z_01 3 5.7 4 y_01 3 3.2 4 y_00 3 3.2 4 y_11 3 6.2 4 y_10 3 4.2 0 0 9 0 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 9 0 7.33145160811001574e+02 1.80337488238402102e+03 4.02122068318208630e+03 -2.72150003931949686e+03 -2.07313387957113900e+03 2.07640954281834820e+03 1.67425190103196075e+00 2.69685737072851373e+00 1.97851016739322993e+00 0 0 9 0 0 0 169 0.666666666666667*y_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 169 0.666666666666667*y_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 3.0*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 249 -1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 249 -1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 192 0.5*(0.666666666666667*(1.0*y_01 + 1.0*y_10)*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 6.0*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 248 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 248 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 81 2.0*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 235 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 1 1 +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Complex float::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex float:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 -3.342597466e-13 -2.073134033e+03 -2.546741030e-13 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex float:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex float:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex float:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex float:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 24 5.69999980926514 + 0.0*I 4 z_00 24 4.69999980926514 + 0.0*I 4 z_01 24 5.69999980926514 + 0.0*I 4 y_01 24 3.20000004768372 + 0.0*I 4 y_00 24 3.20000004768372 + 0.0*I 4 y_11 24 6.19999980926514 + 0.0*I 4 y_10 24 4.19999980926514 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.331452026e+02 0.000000000e+00 1.803375122e+03 0.000000000e+00 4.021220947e+03 0.000000000e+00 -2.721500244e+03 -3.342597466e-13 -2.073134033e+03 -2.546741030e-13 2.076409668e+03 0.000000000e+00 1.674245715e+00 0.000000000e+00 2.696845293e+00 0.000000000e+00 1.978502989e+00 0.000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 +DEAL:Serialization:Complex float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex float:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.38,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97850,0.00000) (1.97850,0.00000) (2.69685,0.00000) +DEAL:Serialization:Complex double::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::evaluation: s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (pre-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL:Serialization:Complex double:Optimisation + substitution::Serializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Serialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811002029e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208903e+03 0.00000000000000000e+00 -2.72150003931949823e+03 -3.34259735212203695e-13 -2.07313387957114037e+03 -2.54674083971202827e-13 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196031e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322971e+00 0.00000000000000000e+00 0 0 9 0 0 0 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 314 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 316 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 228 0.5*((0.666666666666667 + 0.0*I)*(0.0 + 1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 + +DEAL:Serialization:Complex double:Optimisation + substitution::symb_s: 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Complex double:Optimisation + substitution::symb_ds_dy: 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 0.0*I + (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 0.0*I + (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 + 0.0*I + (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Complex double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Complex double:Optimisation + substitution::Deserialized optimizer: +DEAL:Serialization:Complex double:Optimisation + substitution::0 0 1 3 0 0 8 0 0 0 0 0 1 x 3 2.5 4 z_11 11 5.7 + 0.0*I 4 z_00 11 4.7 + 0.0*I 4 z_01 11 5.7 + 0.0*I 4 y_01 11 3.2 + 0.0*I 4 y_00 11 3.2 + 0.0*I 4 y_11 11 6.2 + 0.0*I 4 y_10 11 4.2 + 0.0*I 0 0 9 0 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 0 0 9 0 7.33145160811002029e+02 0.00000000000000000e+00 1.80337488238402216e+03 0.00000000000000000e+00 4.02122068318208903e+03 0.00000000000000000e+00 -2.72150003931949823e+03 -3.34259735212203695e-13 -2.07313387957114037e+03 -2.54674083971202827e-13 2.07640954281834911e+03 0.00000000000000000e+00 1.67425190103196031e+00 0.00000000000000000e+00 2.69685737072851328e+00 0.00000000000000000e+00 1.97851016739322971e+00 0.00000000000000000e+00 0 0 9 0 0 0 300 (-1.5 + 0.0*I)*y_00 + (1.5 + 0.0*I)*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 5 300 (-1.5 + 0.0*I)*y_11 + (1.5 + 0.0*I)*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 2 91 (2.0 + 0.0*I)*x**(-1 + 1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*(1.0*y_00*y_11 - 1.0*y_01*y_10) 1 222 0.5*((0.666666666666667 + 0.0*I)*(1.0*y_01 + 1.0*y_10)*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (6.0 + 0.0*I)*z_01*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2)) 8 273 1.5 + 0.0*I + (1.5 + 0.0*I)*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) 0 302 (1.5 + 0.0*I)*y_01 + (-1.5 + 0.0*I)*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 4 302 (1.5 + 0.0*I)*y_10 + (-1.5 + 0.0*I)*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + (0.666666666666667 + 0.0*I)*z_01*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (-2.0 + 0.0*I)*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 3 199 (0.666666666666667 + 0.0*I)*y_11*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_11*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 7 199 (0.666666666666667 + 0.0*I)*y_00*cos((0.666666666666667 + 0.0*I)*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + (3.0 + 0.0*I)*z_00*(1.0*y_00*y_11 - 1.0*y_01*y_10)/(z_00**2 + 2*z_01**2 + z_11**2) 6 1 1 +DEAL:Serialization:Complex double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Complex double:Optimisation + substitution::Evaluation (post-serialization): s: (733.145,0.00000) ds_dx: (1803.37,0.00000) ds_dy: (4021.22,0.00000) (-2721.50,-3.34260e-13) (-2073.13,-2.54674e-13) (2076.41,0.00000) ds_dz: (1.67425,0.00000) (1.97851,0.00000) (1.97851,0.00000) (2.69686,0.00000) +DEAL::OK diff --git a/tests/symengine/batch_optimizer_06_3a.cc b/tests/symengine/batch_optimizer_06_3a.cc new file mode 100644 index 0000000000..a3ab531001 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_3a.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy the optimizer as well as all other expressions +// and symbols that were used in the creation of the optimizer. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// and we invoke no additional symbolic optimizations as well. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_06.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_06_3a.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_06_3a.with_symengine_with_llvm.output new file mode 100644 index 0000000000..ae208b36c0 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_3a.with_symengine_with_llvm.output @@ -0,0 +1,22 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.14 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.14 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.14 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_06_3b.cc b/tests/symengine/batch_optimizer_06_3b.cc new file mode 100644 index 0000000000..f3c81763c9 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_3b.cc @@ -0,0 +1,39 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy the optimizer as well as all other expressions +// and symbols that were used in the creation of the optimizer. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// as well as all additional symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_06.h" + +int +main() +{ + initlog(); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_06_3b.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_06_3b.with_symengine_with_llvm.output new file mode 100644 index 0000000000..0ee06768e5 --- /dev/null +++ b/tests/symengine/batch_optimizer_06_3b.with_symengine_with_llvm.output @@ -0,0 +1,22 @@ + +DEAL:Serialization:Float::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::evaluation: s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (pre-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Float:Optimisation + substitution::Serializing... +DEAL:Serialization:Float:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Float:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Float:Optimisation + substitution::Deserializing... +DEAL:Serialization:Float:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Float:Optimisation + substitution::Evaluation (post-serialization): s: 733.146 ds_dx: 1803.38 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69685 +DEAL:Serialization:Double::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::evaluation: s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (pre-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL:Serialization:Double:Optimisation + substitution::Serializing... +DEAL:Serialization:Double:Optimisation + substitution::symb_s: 1.5 + 1.5*(1.0*y_00*y_11 - 1.0*y_01*y_10)*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10)) + sin(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) +DEAL:Serialization:Double:Optimisation + substitution::symb_ds_dy: 0.0 - 1.5*y_11 + 1.5*y_11*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_00*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_11 0.0 + 1.5*y_10 - 1.5*y_10*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_10 0.0 + 1.5*y_01 - 1.5*y_01*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_01*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) - 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_01 0.0 - 1.5*y_00 + 1.5*y_00*log(1.0*(z_00**2 + 2*z_01**2 + z_11**2)/(1.0*y_00*y_11 - 1.0*y_01*y_10)) + 0.666666666666667*z_11*cos(0.666666666666667*(z_00*y_00 + z_11*y_11 + 1.0*(y_01 + y_10)*z_01)) + 2.0*x**(1.0*(1.0*y_00*y_11 - 1.0*y_01*y_10))*log(x)*y_00 +DEAL:Serialization:Double:Optimisation + substitution::Deserializing... +DEAL:Serialization:Double:Optimisation + substitution::Checking deserialisation... +DEAL:Serialization:Double:Optimisation + substitution::Evaluation (post-serialization): s: 733.145 ds_dx: 1803.37 ds_dy: 4021.22 -2721.50 -2073.13 2076.41 ds_dz: 1.67425 1.97851 1.97851 2.69686 +DEAL::OK diff --git a/tests/symengine/batch_optimizer_07_1a.cc b/tests/symengine/batch_optimizer_07_1a.cc new file mode 100644 index 0000000000..961f6e3c1c --- /dev/null +++ b/tests/symengine/batch_optimizer_07_1a.cc @@ -0,0 +1,44 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_tensor_operations_03.cc, except that we +// invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we use only dictionary substitution, and invoke no symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_07.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_07_1a.output b/tests/symengine/batch_optimizer_07_1a.output new file mode 100644 index 0000000000..628f12b93b --- /dev/null +++ b/tests/symengine/batch_optimizer_07_1a.output @@ -0,0 +1,2 @@ + +DEAL:dim 2::OK diff --git a/tests/symengine/batch_optimizer_07_1b.cc b/tests/symengine/batch_optimizer_07_1b.cc new file mode 100644 index 0000000000..04475c06c5 --- /dev/null +++ b/tests/symengine/batch_optimizer_07_1b.cc @@ -0,0 +1,44 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_tensor_operations_03.cc, except that we +// invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we use only dictionary substitution, but invoke all symbolic +// optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_07.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::dictionary; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_07_1b.output b/tests/symengine/batch_optimizer_07_1b.output new file mode 100644 index 0000000000..628f12b93b --- /dev/null +++ b/tests/symengine/batch_optimizer_07_1b.output @@ -0,0 +1,2 @@ + +DEAL:dim 2::OK diff --git a/tests/symengine/batch_optimizer_07_2a.cc b/tests/symengine/batch_optimizer_07_2a.cc new file mode 100644 index 0000000000..4fb559b3f1 --- /dev/null +++ b/tests/symengine/batch_optimizer_07_2a.cc @@ -0,0 +1,43 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_tensor_operations_03.cc, except that we +// invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we use only lambda substitution,and invoke no symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_07.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_07_2a.output b/tests/symengine/batch_optimizer_07_2a.output new file mode 100644 index 0000000000..628f12b93b --- /dev/null +++ b/tests/symengine/batch_optimizer_07_2a.output @@ -0,0 +1,2 @@ + +DEAL:dim 2::OK diff --git a/tests/symengine/batch_optimizer_07_2b.cc b/tests/symengine/batch_optimizer_07_2b.cc new file mode 100644 index 0000000000..da71371d99 --- /dev/null +++ b/tests/symengine/batch_optimizer_07_2b.cc @@ -0,0 +1,43 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_tensor_operations_03.cc, except that we +// invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we use only lambda substitution, but invoke all symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_07.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::lambda; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_07_2b.output b/tests/symengine/batch_optimizer_07_2b.output new file mode 100644 index 0000000000..628f12b93b --- /dev/null +++ b/tests/symengine/batch_optimizer_07_2b.output @@ -0,0 +1,2 @@ + +DEAL:dim 2::OK diff --git a/tests/symengine/batch_optimizer_07_3a.cc b/tests/symengine/batch_optimizer_07_3a.cc new file mode 100644 index 0000000000..4a4de0ebe3 --- /dev/null +++ b/tests/symengine/batch_optimizer_07_3a.cc @@ -0,0 +1,44 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_tensor_operations_03.cc, except that we +// invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// and we invoke no additional symbolic optimizations as well. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_07.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_default; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_07_3a.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_07_3a.with_symengine_with_llvm.output new file mode 100644 index 0000000000..628f12b93b --- /dev/null +++ b/tests/symengine/batch_optimizer_07_3a.with_symengine_with_llvm.output @@ -0,0 +1,2 @@ + +DEAL:dim 2::OK diff --git a/tests/symengine/batch_optimizer_07_3b.cc b/tests/symengine/batch_optimizer_07_3b.cc new file mode 100644 index 0000000000..5548e3ae58 --- /dev/null +++ b/tests/symengine/batch_optimizer_07_3b.cc @@ -0,0 +1,44 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_tensor_operations_03.cc, except that we +// invoke the batch optimizer before symbolic evaluation takes place. +// +// Here we invoke the LLVM optimizer before symbolic evaluation takes place, +// as well as all additional symbolic optimizations. + +#include "../tests.h" + +#include "sd_common_tests/batch_optimizer_07.h" + +int +main() +{ + initlog(); + + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + const enum SD::OptimizerType opt_method = SD::OptimizerType::llvm; + const enum SD::OptimizationFlags opt_flags = + SD::OptimizationFlags::optimize_all; + + const int dim = 2; + run_tests(); +} diff --git a/tests/symengine/batch_optimizer_07_3b.with_symengine_with_llvm.output b/tests/symengine/batch_optimizer_07_3b.with_symengine_with_llvm.output new file mode 100644 index 0000000000..628f12b93b --- /dev/null +++ b/tests/symengine/batch_optimizer_07_3b.with_symengine_with_llvm.output @@ -0,0 +1,2 @@ + +DEAL:dim 2::OK diff --git a/tests/symengine/prm/parameters-step-44.prm b/tests/symengine/prm/parameters-step-44.prm new file mode 100644 index 0000000000..5634653f3c --- /dev/null +++ b/tests/symengine/prm/parameters-step-44.prm @@ -0,0 +1,76 @@ +# Listing of Parameters +# --------------------- +subsection Finite element system + # Displacement system polynomial order + set Polynomial degree = 1 + + # Gauss quadrature order + set Quadrature order = 2 +end + + +subsection Geometry + # Global refinement level + # Low refinement level because symbolic computations are (apparently) rather slow at the moment... + set Global refinement = 1 + + # Global grid scaling factor + set Grid scale = 1e-3 + + # Ratio of applied pressure to reference pressure + set Pressure ratio p/p0 = 100 +end + + +subsection Linear solver + # Linear solver iterations (multiples of the system matrix size) + # In 2-d, this value is best set at 2. In 3-d, a value of 1 work fine. + set Max iteration multiplier = 2 + + # Linear solver residual (scaled by residual norm) + set Residual = 1e-6 + + # Use static condensation and solve a 1-block system, or solve + # the full 3-block system using Linear Operators and the Schur + # complement + set Use static condensation = true + + # Preconditioner type + set Preconditioner type = ssor + + # Preconditioner relaxation value + set Preconditioner relaxation = 0.65 + + # Type of solver used to solve the linear system + set Solver type = CG +end + + +subsection Material properties + # Poisson's ratio + set Poisson's ratio = 0.4999 + + # Shear modulus + set Shear modulus = 80.194e6 +end + + +subsection Nonlinear solver + # Number of Newton-Raphson iterations allowed + set Max iterations Newton-Raphson = 10 + + # Displacement error tolerance + set Tolerance displacement = 1.0e-6 + + # Force residual tolerance + set Tolerance force = 1.0e-9 +end + + +subsection Time + # End time + set End time = 1 + + # Time step size + set Time step size = 0.1 +end diff --git a/tests/symengine/sd_common_tests/batch_optimizer_01.h b/tests/symengine/sd_common_tests/batch_optimizer_01.h new file mode 100644 index 0000000000..ec5c05943c --- /dev/null +++ b/tests/symengine/sd_common_tests/batch_optimizer_01.h @@ -0,0 +1,681 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Header file: +// Test that all of the low-level math operations function as expected and +// that their values and derivatives can be computed using the optimizer. + +#include +#include + +#include + +using namespace dealii; +namespace AD = Differentiation::AD; +namespace SD = Differentiation::SD; + +template +struct FunctionAdd +{ + static std::string + name() + { + return "Add"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return (s1 + s2) * (s1 + s2); + }; +}; + +template +struct FunctionSub +{ + static std::string + name() + { + return "Subtract"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return (s1 - s2) * (s1 - s2); + }; +}; + +template +struct FunctionMul +{ + static std::string + name() + { + return "Multiply"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return (s1 * s2) * (s1 * s2); + }; +}; + +template +struct FunctionDiv +{ + static std::string + name() + { + return "Divide"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return (s1 / s2) * (s1 / s2); + }; +}; + +template +struct FunctionPow +{ + static std::string + name() + { + return "Power"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return NumberType(2.0) * std::pow(s1, s2); + }; +}; + +template +struct FunctionSqrt +{ + static std::string + name() + { + return "Sqrt"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return NumberType(2.0) * std::sqrt(s1 * s2); + }; +}; + +template +struct FunctionExp +{ + static std::string + name() + { + return "Exponential"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return s1 * s1 * std::exp(s2); + }; +}; + +template +struct FunctionLog +{ + static std::string + name() + { + return "Logarithm"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return s1 * s1 * std::log(s2); + }; +}; + +template +struct FunctionLogBase +{ + static std::string + name() + { + return "Logarithm with Base"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::log(s2) / std::log(s1); + }; +}; + +template <> +struct FunctionLogBase +{ + static std::string + name() + { + return "Logarithm with Base"; + } + + static SD::Expression + psi(const SD::Expression &s1, const SD::Expression &s2) + { + return SD::log(s2, s1); + }; +}; + +template +struct FunctionLog10 +{ + static std::string + name() + { + return "Logarithm base 10"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return s1 * s1 * std::log10(s2); + }; +}; + +template +struct FunctionSin +{ + static std::string + name() + { + return "Sin"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::sin(s2 / s1); + }; +}; + +template +struct FunctionCos +{ + static std::string + name() + { + return "Cos"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::cos(s2 / s1); + }; +}; + +template +struct FunctionTan +{ + static std::string + name() + { + return "Tan"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::tan(s2 / s1); + }; +}; + +template +struct FunctionASin +{ + static std::string + name() + { + return "ASin"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::asin(NumberType(1.0) / (s1 * s2)); + }; +}; + +template +struct FunctionACos +{ + static std::string + name() + { + return "ACos"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::acos(NumberType(1.0) / (s1 * s2)); + }; +}; + +template +struct FunctionATan +{ + static std::string + name() + { + return "ATan"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::atan(NumberType(1.0) / (s1 * s2)); + }; +}; + +template +struct FunctionATan2 +{ + static std::string + name() + { + return "ATan2"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return NumberType(3.0) * std::atan2(s2, s1); + }; +}; + +// TODO: cosec; sec; cot; acosec; asec; acot + +template +struct FunctionSinh +{ + static std::string + name() + { + return "Sinh"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::sinh(s2 / s1); + }; +}; + +template +struct FunctionCosh +{ + static std::string + name() + { + return "Cosh"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::cosh(s2 / s1); + }; +}; + +template +struct FunctionTanh +{ + static std::string + name() + { + return "Tanh"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::tanh(s2 / s1); + }; +}; + +template +struct FunctionErf +{ + static std::string + name() + { + return "Erf"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return s1 * s1 * std::erf(s2); + }; +}; + +template +struct FunctionErfc +{ + static std::string + name() + { + return "Erfc"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return s1 * s1 * std::erfc(s2); + }; +}; + +template +struct FunctionASinh +{ + static std::string + name() + { + return "ASinh"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::asinh(NumberType(1.0) / (s1 * s2)); + }; +}; + +template +struct FunctionACosh +{ + static std::string + name() + { + return "ACosh"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::acosh(s1 * s2); + }; +}; + +template +struct FunctionATanh +{ + static std::string + name() + { + return "ATanh"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::atanh(NumberType(1.0) / (s1 * s2)); + }; +}; + +template +struct FunctionAbs +{ + static std::string + name() + { + return "Abs"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return std::abs(s1 * s2) * std::abs(-1.0 * s1 / s2); + }; +}; + +template +struct FunctionMax +{ + static std::string + name() + { + return "Max"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return 2.5 * std::max(s1, s2) * std::max(s1, s2); + }; +}; + +template +struct FunctionMin +{ + static std::string + name() + { + return "Min"; + } + + static NumberType + psi(const NumberType &s1, const NumberType &s2) + { + return 1.5 * std::min(s1, s2) * std::min(s1, s2); + }; +}; + +template class FunctionStruct> +void +test_functions() +{ + deallog.push(FunctionStruct::name()); + + // Evaluation point + const number_t s1 = 3.0; + const number_t s2 = 2.0; + const unsigned int n_independent_variables = 2; + + // Pure SD differentiation + number_t psi_sd_sd = 0.0; + Vector Dpsi_sd_sd(n_independent_variables); + FullMatrix D2psi_sd_sd(n_independent_variables, + n_independent_variables); + { + typedef SD::Expression SDNumberType; + + // Function and its derivatives + typedef FunctionStruct func_sd; + + deallog.push("Symbolic computation: Function initialisation"); + const SDNumberType symb_s0("s1"); + const SDNumberType symb_s1("s2"); + const SDNumberType symb_psi = func_sd::psi(symb_s0, symb_s1); + deallog << "symb_s0: " << symb_s0 << std::endl; + deallog << "symb_s1: " << symb_s1 << std::endl; + deallog << "symb_psi: " << symb_psi << std::endl; + deallog.pop(); + + deallog.push("Symbolic computation: Differentiation"); + const SDNumberType symb_dpsi_ds0 = symb_psi.differentiate(symb_s0); + const SDNumberType symb_dpsi_ds1 = symb_psi.differentiate(symb_s1); + const SDNumberType symb_d2psi_ds0_ds0 = + symb_dpsi_ds0.differentiate(symb_s0); + const SDNumberType symb_d2psi_ds1_ds0 = + symb_dpsi_ds0.differentiate(symb_s1); + const SDNumberType symb_d2psi_ds0_ds1 = + symb_dpsi_ds1.differentiate(symb_s0); + const SDNumberType symb_d2psi_ds1_ds1 = + symb_dpsi_ds1.differentiate(symb_s1); + deallog << "symb_dpsi_ds0: " << symb_dpsi_ds0 << std::endl; + deallog << "symb_dpsi_ds1: " << symb_dpsi_ds1 << std::endl; + deallog << "symb_d2psi_ds0_ds0: " << symb_d2psi_ds0_ds0 << std::endl; + deallog << "symb_d2psi_ds1_ds0: " << symb_d2psi_ds1_ds0 << std::endl; + deallog << "symb_d2psi_ds0_ds1: " << symb_d2psi_ds0_ds1 << std::endl; + deallog << "symb_d2psi_ds1_ds1: " << symb_d2psi_ds1_ds1 << std::endl; + deallog.pop(); + + deallog.push("Symbolic computation: Optimization"); + SD::BatchOptimizer optimizer; + optimizer.set_optimization_method(opt_method, opt_flags); + SD::types::substitution_map sub_vals_optim; + SD::add_to_symbol_map(sub_vals_optim, symb_s0, symb_s1); + optimizer.register_symbols(sub_vals_optim); // Independent symbols + optimizer.register_functions( + symb_psi, + symb_dpsi_ds0, + symb_dpsi_ds1, + symb_d2psi_ds0_ds0, + symb_d2psi_ds1_ds0, + symb_d2psi_ds0_ds1, + symb_d2psi_ds1_ds1); // Dependent symbolic functions + std::cout << FunctionStruct::name() << ": About to optimise... " + << std::flush; + optimizer.optimize(); + std::cout << "done." << std::endl; + deallog.pop(); + + deallog.push("Symbolic computation: Substitution"); + SD::types::substitution_map sub_vals; + SD::add_to_substitution_map(sub_vals, symb_s0, s1); + SD::add_to_substitution_map(sub_vals, symb_s1, s2); + + // Perform substitution of symbols + std::cout << FunctionStruct::name() << ": About to substitute... " + << std::flush; + optimizer.substitute(sub_vals); + std::cout << "done." << std::endl; + // optimizer.print(std::cout); + + // Evaluate + deallog << "subs_psi: " << optimizer.evaluate(symb_psi) << std::endl; + deallog << "subs_dpsi_ds0: " << optimizer.evaluate(symb_dpsi_ds0) + << std::endl; + deallog << "subs_dpsi_ds1: " << optimizer.evaluate(symb_dpsi_ds1) + << std::endl; + deallog << "subs_d2psi_ds0_ds0: " << optimizer.evaluate(symb_d2psi_ds0_ds0) + << std::endl; + deallog << "subs_d2psi_ds1_ds0: " << optimizer.evaluate(symb_d2psi_ds1_ds0) + << std::endl; + deallog << "subs_d2psi_ds0_ds1: " << optimizer.evaluate(symb_d2psi_ds0_ds1) + << std::endl; + deallog << "subs_d2psi_ds1_ds1: " << optimizer.evaluate(symb_d2psi_ds1_ds1) + << std::endl; + deallog.pop(); + } + + deallog.pop(); +} + +template +void +test_all_functions() +{ + const bool skip_non_implemented_functions = + (numbers::NumberTraits::is_complex && + (opt_method == SD::OptimizerType::dictionary || + opt_method == SD::OptimizerType::lambda)); + + std::cout << "Optimisation method: " << opt_method << "\n" + << "Optimisation flags: " << opt_flags << "\n" + << "Skip non-implemented functions: " + << skip_non_implemented_functions << std::endl; + + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + test_functions(); + if (!skip_non_implemented_functions) + test_functions(); + test_functions(); + test_functions(); + test_functions(); + // test_functions(); // Cannot + // perform substitution on derivative + // test_functions(); // Cannot + // perform substitution on derivative + // test_functions(); // Cannot + // perform substitution on derivative + + test_functions(); + test_functions(); + test_functions(); + + if (!skip_non_implemented_functions) + test_functions(); + if (!skip_non_implemented_functions) + test_functions(); + + deallog << "OK" << std::endl; +} + +template +void +run_tests(const int n_runs = 1) +{ + deallog.push("Float"); + test_all_functions(); + deallog.pop(); + + deallog.push("Double"); + test_all_functions(); + deallog.pop(); + + // The LLVM optimizer does not currently support complex numbers. + if (opt_method != SD::OptimizerType::llvm) + { + deallog.push("Complex float"); + test_all_functions, opt_method, opt_flags>(); + deallog.pop(); + + deallog.push("Complex double"); + test_all_functions, opt_method, opt_flags>(); + deallog.pop(); + } +} diff --git a/tests/symengine/sd_common_tests/batch_optimizer_02.h b/tests/symengine/sd_common_tests/batch_optimizer_02.h new file mode 100644 index 0000000000..f5b458c646 --- /dev/null +++ b/tests/symengine/sd_common_tests/batch_optimizer_02.h @@ -0,0 +1,308 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that the wrapper for symengine numbers can be integrated into the +// tensor class and works as expected. +// This test is the same as symengine_wrapper_03.cc, except that we invoke the +// batch optimzer before symbolic evaluation takes place. + +#include + +#include + +#include "../../tests.h" + +using namespace dealii; +namespace SD = Differentiation::SD; + +template +Tensor<2, dim, NumberType> +make_tensor(const NumberType &val) +{ + Tensor<2, dim, NumberType> out; + for (unsigned int i = 0; i < dim; ++i) + out[i][i] = 1.0; + + for (unsigned int i = 0; i < out.n_independent_components; ++i) + out[out.unrolled_to_component_indices(i)] += i + val; + return out; +} + +template +SymmetricTensor<2, dim, NumberType> +make_symm_tensor(const NumberType &val) +{ + SymmetricTensor<2, dim, NumberType> out; + for (unsigned int i = 0; i < dim; ++i) + out[i][i] = 1.0; + + for (unsigned int i = 0; i < out.n_independent_components; ++i) + out[out.unrolled_to_component_indices(i)] += i + val; + return out; +} + +template +void +test_scalar(const int n_runs, TimerOutput &timer) +{ + typedef SD::Expression SD_number_t; + + const NumberType a = NumberType(1.5); + const SD_number_t x("x"); + const SD_number_t y("y"); + timer.enter_subsection("Value calculation"); + const SD_number_t symb_s = a + NumberType(2.0) * std::pow(x, y) + + a * y / std::log(x) + std::sin(x * y * y / a); + deallog << "symb_s: " << symb_s << std::endl; + timer.leave_subsection("Value calculation"); + + timer.enter_subsection("Differentiation"); + const SD_number_t symb_ds_dx = SD::differentiate(symb_s, x); + deallog << "symb_ds_dx: " << symb_ds_dx << std::endl; + timer.leave_subsection("Differentiation"); + + SD::types::substitution_map sub_vals; + SD::add_to_substitution_map(sub_vals, SD::make_substitution_map(x, 2.5)); + SD::add_to_substitution_map(sub_vals, SD::make_substitution_map(y, 1.5)); + + deallog.push("Substitution"); + { + TimerOutput::Scope timer_scope(timer, "Unoptimised substitution"); + for (unsigned int i = 0; i < n_runs; ++i) + { + const SD_number_t subs_s = SD::substitute(symb_s, sub_vals); + const SD_number_t subs_ds_dx = SD::substitute(symb_ds_dx, sub_vals); + if (i == 0) + deallog << "substitute: " + << " s: " << subs_s << " ds_dx: " << subs_ds_dx + << std::endl; + + const NumberType val_s = static_cast(subs_s); + const NumberType val_ds_dx = static_cast(subs_ds_dx); + if (i == 0) + deallog << "evaluation: " + << " s: " << val_s << " ds_dx: " << val_ds_dx << std::endl; + } + } + deallog.pop(); + + deallog.push("Optimisation + substitution"); + { + // Send our symbolic expression through + // a batch optimiser + timer.enter_subsection("Optimisation"); + SD::BatchOptimizer optimizer(opt_method, opt_flags); + optimizer.register_symbols(sub_vals); // Independent symbols + optimizer.register_function( + symb_s); // Dependent symbolic expressions (scalar) + optimizer.register_function( + symb_ds_dx); // Dependent symbolic expressions (scalar) + optimizer.optimize(); + timer.leave_subsection("Optimisation"); + + TimerOutput::Scope timer_scope(timer, "Optimised substitution"); + for (unsigned int i = 0; i < n_runs; ++i) + { + optimizer.substitute(sub_vals); + + const NumberType val_s = optimizer.evaluate(symb_s); + const NumberType val_ds_dx = optimizer.evaluate(symb_ds_dx); + if (i == 0) + deallog << "evaluation: " + << " s: " << val_s << " ds_dx: " << val_ds_dx << std::endl; + } + } + deallog.pop(); +} + +template +void +test_tensor(const int n_runs, TimerOutput &timer) +{ + namespace SD = Differentiation::SD; + typedef SD::Expression SD_number_t; + typedef Tensor<2, dim, SD_number_t> SD_tensor_t; + typedef SymmetricTensor<2, dim, SD_number_t> SD_symm_tensor_t; + + const NumberType a = NumberType(1.5); + const SD_number_t x("x"); + const SD_tensor_t y(SD::make_tensor_of_symbols<2, dim>("y")); + const SD_symm_tensor_t z(SD::make_symmetric_tensor_of_symbols<2, dim>("z")); + + timer.enter_subsection("Value calculation"); + const SD_number_t symb_s = + a + NumberType(2.0) * std::pow(x, determinant(y)) + + a * determinant(y) * std::log((z * z) / determinant(y)) + + std::sin((z * symmetrize(y)) / a); + deallog << "symb_s: " << symb_s << std::endl; + timer.leave_subsection("Value calculation"); + + timer.enter_subsection("Differentiation"); + const SD_number_t symb_ds_dx = SD::differentiate(symb_s, x); + const SD_tensor_t symb_ds_dy = SD::differentiate(symb_s, y); + const SD_symm_tensor_t symb_ds_dz = SD::differentiate(symb_s, z); + deallog << "symb_ds_dy: " << symb_ds_dy << std::endl; + timer.leave_subsection("Differentiation"); + + SD::types::substitution_map sub_vals; + SD::add_to_substitution_map(sub_vals, SD::make_substitution_map(x, 2.5)); + SD::add_to_substitution_map( + sub_vals, SD::make_substitution_map(y, make_tensor(NumberType(2.2)))); + SD::add_to_substitution_map( + sub_vals, + SD::make_substitution_map(z, make_symm_tensor(NumberType(3.7)))); + + deallog.push("Substitution"); + { + TimerOutput::Scope timer_scope(timer, "Unoptimised substitution"); + for (unsigned int i = 0; i < n_runs; ++i) + { + const SD_number_t subs_s = SD::substitute(symb_s, sub_vals); + const SD_number_t subs_ds_dx = SD::substitute(symb_ds_dx, sub_vals); + const SD_tensor_t subs_ds_dy = SD::substitute(symb_ds_dy, sub_vals); + const SD_symm_tensor_t subs_ds_dz = + SD::substitute(symb_ds_dz, sub_vals); + if (i == 0) + deallog << "substitute: " + << " s: " << subs_s << " ds_dx: " << subs_ds_dx + << " ds_dy: " << subs_ds_dy << " ds_dz: " << subs_ds_dz + << std::endl; + + const NumberType val_s = static_cast(subs_s); + const NumberType val_ds_dx = static_cast(subs_ds_dx); + const Tensor<2, dim, NumberType> val_ds_dy = + static_cast>(subs_ds_dy); + const SymmetricTensor<2, dim, NumberType> val_ds_dz = + static_cast>(subs_ds_dz); + if (i == 0) + deallog << "evaluation: " + << " s: " << val_s << " ds_dx: " << val_ds_dx + << " ds_dy: " << val_ds_dy << " ds_dz: " << val_ds_dz + << std::endl; + } + } + deallog.pop(); + + deallog.push("Optimisation + substitution"); + { + // Send our symbolic expression through + // a batch optimiser + timer.enter_subsection("Optimisation"); + SD::BatchOptimizer optimizer(opt_method, opt_flags); + optimizer.register_symbols(sub_vals); // Independent symbols + optimizer.register_function( + symb_s); // Dependent symbolic expressions (scalar) + optimizer.register_function( + symb_ds_dx); // Dependent symbolic expressions (scalar) + optimizer.register_function( + symb_ds_dy); // Dependent symbolic expressions (tensor) + optimizer.register_function( + symb_ds_dz); // Dependent symbolic expressions (symm tensor) + optimizer.optimize(); + + timer.leave_subsection("Optimisation"); + + + TimerOutput::Scope timer_scope(timer, "Optimised substitution"); + for (unsigned int i = 0; i < n_runs; ++i) + { + optimizer.substitute(sub_vals); + + const NumberType val_s = optimizer.evaluate(symb_s); + const NumberType val_ds_dx = optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> val_ds_dy = + optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> val_ds_dz = + optimizer.evaluate(symb_ds_dz); + + if (i == 0) + deallog << "evaluation: " + << " s: " << val_s << " ds_dx: " << val_ds_dx + << " ds_dy: " << val_ds_dy << " ds_dz: " << val_ds_dz + << std::endl; + } + } + deallog.pop(); +} + + +template +void +run_tests(const int n_runs) +{ + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + deallog.push("Scalar"); + { + std::cout << "Scalar values" << std::endl; + + TimerOutput timer(std::cout, TimerOutput::summary, TimerOutput::wall_times); + + // deallog.push("Integer"); + // test_scalar(n_runs, timer); + // deallog.pop(); + + deallog.push("Float"); + test_scalar(n_runs, timer); + deallog.pop(); + // + deallog.push("Double"); + test_scalar(n_runs, timer); + deallog.pop(); + + // Not available yet + // SymEngine::SymEngineException: Invalid Format: Expected Integer or + // Rational deallog.push("Complex double"); + // test_tensor>(); + } + deallog.pop(); + + deallog.push("Tensor"); + { + std::cout << "Tensor values" << std::endl; + + TimerOutput timer(std::cout, TimerOutput::summary, TimerOutput::wall_times); + + // deallog.push("Integer"); + // test_tensor(n_runs, timer); + // deallog.pop(); + + deallog.push("Float"); + test_tensor(n_runs, timer); + deallog.pop(); + + deallog.push("Double"); + test_tensor(n_runs, timer); + deallog.pop(); + + // Not available yet + // SymEngine::SymEngineException: Invalid Format: Expected Integer or + // Rational deallog.push("Complex double"); + // test_tensor>(); + } + deallog.pop(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/sd_common_tests/batch_optimizer_03.h b/tests/symengine/sd_common_tests/batch_optimizer_03.h new file mode 100644 index 0000000000..d38c275c00 --- /dev/null +++ b/tests/symengine/sd_common_tests/batch_optimizer_03.h @@ -0,0 +1,471 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that one can perform substitution of symbolic derivatives that +// are the result of explicit or implicit relationships between symbolic +// variables. +// See tests/symengine/basic_06.cc and tests/symengine/basic_07.cc for +// a more simple example of differentiation of symbols with +// explicit/implicit relationships. +// We invoke the batch optimzer before symbolic evaluation takes place. + +#include +#include + +#include + +#include +#include + +#include "../../tests.h" + +using namespace dealii; +namespace SD = Differentiation::SD; + +namespace Diff_Test +{ + namespace internal + { + namespace + { + template + void + print(Stream &stream, const std::string &name, const NumberType &val) + { + stream << name << ": " << val << std::endl; + } + template + void + print(Stream & stream, + const std::string & name, + const Tensor<0, dim, NumberType> &val) + { + stream << name << ": " << val << std::endl; + } + template + void + print(Stream & stream, + const std::string & name, + const Tensor<1, dim, NumberType> &t) + { + for (unsigned int i = 0; i < dim; ++i) + stream << name << "[" << i << "]: " << t[i] << std::endl; + } + template + void + print(Stream & stream, + const std::string & name, + const Tensor<2, dim, NumberType> &t) + { + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = 0; j < dim; ++j) + stream << name << "[" << i << "][" << j << "]: " << t[i][j] + << std::endl; + } + template + void + print(Stream & stream, + const std::string & name, + const SymmetricTensor<2, dim, NumberType> &t) + { + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = i; j < dim; ++j) + stream << name << "[" << i << "][" << j << "]: " << t[i][j] + << std::endl; + } + template + void + print(Stream & stream, + const std::string & name, + const Tensor<3, dim, NumberType> &t) + { + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = 0; j < dim; ++j) + for (unsigned int k = 0; k < dim; ++k) + stream << name << "[" << i << "][" << j << "][" << k + << "]: " << t[i][j][k] << std::endl; + } + template + void + print(Stream & stream, + const std::string & name, + const Tensor<4, dim, NumberType> &t) + { + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = 0; j < dim; ++j) + for (unsigned int k = 0; k < dim; ++k) + for (unsigned int l = 0; l < dim; ++l) + stream << name << "[" << i << "][" << j << "][" << k << "][" + << l << "]: " << t[i][j][k][l] << std::endl; + } + template + void + print(Stream & stream, + const std::string & name, + const SymmetricTensor<4, dim, NumberType> &t) + { + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = i; j < dim; ++j) + for (unsigned int k = 0; k < dim; ++k) + for (unsigned int l = k; l < dim; ++l) + stream << name << "[" << i << "][" << j << "][" << k << "][" + << l << "]: " << t[i][j][k][l] << std::endl; + } + } // namespace + } // namespace internal + + template + void + test_standard() + { + SD::BatchOptimizer optimizer; + + const SD::Expression mu_e_SD(SD::make_symbol("mu_e")); + const SD::Expression kappa_e_SD(SD::make_symbol("kappa_e")); + const SymmetricTensor<2, dim, SD::Expression> C_SD( + SD::make_symmetric_tensor_of_symbols<2, dim>("C")); + + const SD::Expression symbolic_psi = + 0.5 * mu_e_SD * (trace(C_SD) - 3) + + kappa_e_SD * (std::log(determinant(C_SD))); + + // Compute partial derivatives of energy function + const SymmetricTensor<2, dim, SD::Expression> symbolic_S = + 2.0 * SD::differentiate(symbolic_psi, C_SD); // S = 2*dpsi_dC + const SymmetricTensor<4, dim, SD::Expression> symbolic_HH = + 2.0 * SD::differentiate(symbolic_S, C_SD); // HH = 2*dS_dC = 4*d2psi_dC_dC + + // Configure optimizer + SD::types::substitution_map sub_vals_optim; + SD::add_to_symbol_map(sub_vals_optim, mu_e_SD, kappa_e_SD, C_SD); + + optimizer.set_optimization_method(opt_method, opt_flags); + + optimizer.register_symbols(sub_vals_optim); // Independent symbols + optimizer.register_functions(symbolic_psi, + symbolic_S, + symbolic_HH); // Dependent symbolic functions + optimizer.optimize(); + + const bool print_symbols = true; + if (print_symbols == true) + { + internal::print(deallog, "psi", symbolic_psi); + internal::print(deallog, "S", symbolic_S); + internal::print(deallog, "HH", symbolic_HH); + } + + // Numerical substitution + SD::types::substitution_map sub_vals_unresolved; + const double mu_e = 3; + const double kappa_e = 10; + const SymmetricTensor<2, dim, NumberType> C = + 2.0 * unit_symmetric_tensor(); + SD::add_to_substitution_map(sub_vals_unresolved, + std::make_pair(mu_e_SD, mu_e), + std::make_pair(kappa_e_SD, kappa_e), + std::make_pair(C_SD, C)); + // NOTE: The recursive substitution is not really required in this case, but + // good to use in practise in case a more complex energy function is + // employed later + const SD::types::substitution_map sub_vals = + SD::resolve_explicit_dependencies(sub_vals_unresolved); + + // Perform substitution of symbols + optimizer.substitute(sub_vals); + + // Extract values + const bool print_values = true; + if (print_values == true) + { + internal::print(deallog, "psi", optimizer.evaluate(symbolic_psi)); + internal::print(deallog, "S", optimizer.evaluate(symbolic_S)); + internal::print(deallog, "HH", optimizer.evaluate(symbolic_HH)); + } + } + + template + void + test_explicit() + { + SD::BatchOptimizer optimizer; + + // Set up the primary independent variable + const SD::Expression mu_e_SD(SD::make_symbol("mu_e")); + const SD::Expression kappa_e_SD(SD::make_symbol("kappa_e")); + const SymmetricTensor<2, dim, SD::Expression> C_SD( + SD::make_symmetric_tensor_of_symbols<2, dim>("C")); + + // Set up an internal variable that treated as an independent variable + const SD::Expression mu_v_SD(SD::make_symbol("mu_v")); + const SD::Expression kappa_v_SD(SD::make_symbol("kappa_v")); + const SymmetricTensor<2, dim, SD::Expression> Qi_SD( + SD::make_symmetric_tensor_of_symbols<2, dim>("Qi")); + + // Compute the dependent variable + const SD::Expression symbolic_psi_CQi = + 0.5 * mu_e_SD * (trace(C_SD) - 3) + + kappa_e_SD * (std::log(determinant(C_SD))) + + 0.5 * mu_v_SD * ((C_SD * Qi_SD) - 3) + + kappa_v_SD * (std::log(C_SD * Qi_SD)); + + // Compute partial derivatives of energy function + const SymmetricTensor<2, dim, SD::Expression> symbolic_S_CQi = + 2.0 * SD::differentiate(symbolic_psi_CQi, C_SD); // S = 2*dpsi_dC + + // Here is the explicit definition of Q in terms of C + // We would know this when Q is linearly dependent on C + SD::types::substitution_map sub_vals_explicit; + SD::add_to_substitution_map(sub_vals_explicit, + std::make_pair(Qi_SD, 2 * C_SD)); + + // Note: After performing these operations we should not longer + // need to consider the internal variable Q at all + const SD::Expression symbolic_psi = + SD::substitute(symbolic_psi_CQi, sub_vals_explicit); + const SymmetricTensor<2, dim, SD::Expression> symbolic_S = + SD::substitute(symbolic_S_CQi, sub_vals_explicit); + const SymmetricTensor<4, dim, SD::Expression> symbolic_HH = + 2.0 * SD::differentiate(symbolic_S, C_SD); // HH = 2*dS_dC = 4*d2psi_dC_dC + + // Configure optimizer + SD::types::substitution_map sub_vals_optim; + SD::add_to_symbol_map( + sub_vals_optim, mu_e_SD, kappa_e_SD, C_SD, mu_v_SD, kappa_v_SD); + + optimizer.set_optimization_method(opt_method, opt_flags); + + optimizer.register_symbols(sub_vals_optim); // Independent symbols + optimizer.register_functions(symbolic_psi, + symbolic_S, + symbolic_HH); // Dependent symbolic functions + optimizer.optimize(); + + const bool print_symbols = true; + if (print_symbols == true) + { + internal::print(deallog, "psi (Q)", symbolic_psi_CQi); + internal::print(deallog, "psi", symbolic_psi); + internal::print(deallog, "S (Q)", symbolic_S_CQi); + internal::print(deallog, "S", symbolic_S); + internal::print(deallog, "HH", symbolic_HH); + } + + // Numerical substitution + SD::types::substitution_map sub_vals_unresolved; + const double mu_e = 3; + const double kappa_e = 10; + const SymmetricTensor<2, dim, NumberType> C = + 2.0 * unit_symmetric_tensor(); + const double mu_v = 5; + const double kappa_v = 2; + SD::add_to_substitution_map(sub_vals_unresolved, + std::make_pair(mu_e_SD, mu_e), + std::make_pair(kappa_e_SD, kappa_e), + std::make_pair(C_SD, C), + std::make_pair(mu_v_SD, mu_v), + std::make_pair(kappa_v_SD, kappa_v)); + // NOTE: The recursive substitution is not really required in this case, but + // good to use in practise in case a more complex energy function is + // employed later + const SD::types::substitution_map sub_vals = + SD::resolve_explicit_dependencies(sub_vals_unresolved); + + // Perform substitution of symbols + optimizer.substitute(sub_vals); + + // Extract values + const bool print_values = true; + if (print_values == true) + { + internal::print(deallog, "psi", optimizer.evaluate(symbolic_psi)); + internal::print(deallog, "S", optimizer.evaluate(symbolic_S)); + internal::print(deallog, "HH", optimizer.evaluate(symbolic_HH)); + } + } + + template + void + test_implicit() + { + SD::BatchOptimizer optimizer; + + // Set up the primary independent variable + const SD::Expression mu_e_SD(SD::make_symbol("mu_e")); + const SD::Expression kappa_e_SD(SD::make_symbol("kappa_e")); + const SymmetricTensor<2, dim, SD::Expression> C_SD( + SD::make_symmetric_tensor_of_symbols<2, dim>("C")); + + // Set up an internal variable that treated as an independent variable + const SD::Expression mu_v_SD(SD::make_symbol("mu_v")); + const SD::Expression kappa_v_SD(SD::make_symbol("kappa_v")); + const SymmetricTensor<2, dim, SD::Expression> Qi_SD( + SD::make_symmetric_tensor_of_symbols<2, dim>("Qi")); + + // Compute the dependent variable + const SD::Expression symbolic_psi = + 0.5 * mu_e_SD * (trace(C_SD) - 3) + + kappa_e_SD * (std::log(determinant(C_SD))) + + 0.5 * mu_v_SD * ((C_SD * Qi_SD) - 3) + + kappa_v_SD * (std::log(C_SD * Qi_SD)); + + // Compute partial derivatives of energy function + const SymmetricTensor<2, dim, SD::Expression> symbolic_S = + 2.0 * SD::differentiate(symbolic_psi, C_SD); // S = 2*dpsi_dC + + // Here is the implicit definition of Q in terms of C + // We would have to define the relationship in this manner when + // Q is nonlinearly dependent on C + const SD::types::substitution_map sub_vals_func_symb_dependencies = + SD::make_symbol_map(C_SD); + const SymmetricTensor<2, dim, SD::Expression> Qd_SD = + SD::make_symmetric_tensor_of_symbolic_functions<2, dim>( + "Qd", sub_vals_func_symb_dependencies); + const SymmetricTensor<4, dim, SD::Expression> dQd_SD_dC = + SD::differentiate(Qd_SD, C_SD); + // internal::print(deallog,"Qd_SD",Qd_SD); + // internal::print(deallog,"dQd_SD_dC",dQd_SD_dC); + + // Now we substitute out the independent internal variable + // for one that has a sensitivity on the primary independent variable + const SD::types::substitution_map sub_vals_implicit = + SD::make_substitution_map(std::make_pair(Qi_SD, Qd_SD)); + const SymmetricTensor<2, dim, SD::Expression> symbolic_S_subs_Q = + SD::substitute(symbolic_S, sub_vals_implicit); + // And differentiate. This computes the total derivative of S + // with respect to C, but accommodates the implicit relationship + // between Q(C) and C that is yet to be resolved. + const SymmetricTensor<4, dim, SD::Expression> symbolic_HH_total_impl = + 2.0 * SD::differentiate(symbolic_S_subs_Q, + C_SD); // HH = 2*dS_dC = 4*d2psi_dC_dC + // internal::print(deallog,"symbolic_HH_total_impl",symbolic_HH_total_impl); + + // An example of an implicit relationship would be + // dQ/dt = 2.0*C*log( det(C)*log(Q(C) ) + // Since Q(C) is an implicit relationship, we cannot + // symbolically resolve Q in terms of the components of C: + // this would be done numerically using a nonlinear + // solution scheme. That same nonlinear solver + // can numerically compute dQ_dC for us, so we will assume + // that we have both of these sets of values. + const SymmetricTensor<4, dim, SD::Expression> dQ_dC_i_SD = + SD::make_symmetric_tensor_of_symbols<4, dim>("dQ_dC_i"); + const SD::types::substitution_map sub_vals_explicit = + SD::make_substitution_map(std::make_pair(Qd_SD, Qi_SD), + std::make_pair(SD::differentiate(Qd_SD, C_SD), + dQ_dC_i_SD)); + // internal::print(deallog,"dQ_dC_i",dQ_dC_i); + + // Substitute derivative terms + SD::resolve_explicit_dependencies(sub_vals_explicit); + const SymmetricTensor<4, dim, SD::Expression> symbolic_HH = + SD::substitute(symbolic_HH_total_impl, sub_vals_explicit); + + // Configure optimizer + const SD::types::substitution_map sub_vals_optim = SD::make_symbol_map( + mu_e_SD, kappa_e_SD, C_SD, mu_v_SD, kappa_v_SD, Qi_SD, dQ_dC_i_SD); + + optimizer.set_optimization_method(opt_method, opt_flags); + + optimizer.register_symbols(sub_vals_optim); // Independent symbols + optimizer.register_functions(symbolic_psi, + symbolic_S, + symbolic_HH); // Dependent symbolic functions + optimizer.optimize(); + + const bool print_symbols = true; + if (print_symbols == true) + { + internal::print(deallog, "psi", symbolic_psi); + internal::print(deallog, "S", symbolic_S); + internal::print(deallog, "HH", symbolic_HH); + } + + // Numerical substitution + const double mu_e = 3; + const double kappa_e = 10; + const SymmetricTensor<2, dim, NumberType> C = + 2.0 * unit_symmetric_tensor(); + const double mu_v = 5; + const double kappa_v = 2; + const SymmetricTensor<2, dim, NumberType> Q = + 1.5 * unit_symmetric_tensor(); + const SymmetricTensor<4, dim, NumberType> dQ_dC = + 3.0 * identity_tensor(); + const SD::types::substitution_map sub_vals_unresolved = + SD::make_substitution_map(std::make_pair(mu_e_SD, mu_e), + std::make_pair(kappa_e_SD, kappa_e), + std::make_pair(C_SD, C), + std::make_pair(mu_v_SD, mu_v), + std::make_pair(kappa_v_SD, kappa_v), + std::make_pair(Qi_SD, Q), + std::make_pair(dQ_dC_i_SD, dQ_dC)); + // NOTE: The recursive substitution is not really required in this case, but + // good to use in practise in case a more complex energy function is + // employed later + const SD::types::substitution_map sub_vals = + SD::resolve_explicit_dependencies(sub_vals_unresolved); + + // Perform substitution of symbols + optimizer.substitute(sub_vals); + + // Extract values + const bool print_values = true; + if (print_values == true) + { + internal::print(deallog, "psi", optimizer.evaluate(symbolic_psi)); + internal::print(deallog, "S", optimizer.evaluate(symbolic_S)); + internal::print(deallog, "HH", optimizer.evaluate(symbolic_HH)); + } + } + +} // namespace Diff_Test + +template +void +run_tests() +{ + using namespace Diff_Test; + + deallog.push("Standard"); + test_standard(); + deallog.pop(); + + deallog << std::string(50, '-') << std::endl; + + deallog.push("Explicit"); + test_explicit(); + deallog.pop(); + + deallog << std::string(50, '-') << std::endl; + + deallog.push("Implicit"); + test_implicit(); + deallog.pop(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/sd_common_tests/batch_optimizer_04.h b/tests/symengine/sd_common_tests/batch_optimizer_04.h new file mode 100644 index 0000000000..3894ee522f --- /dev/null +++ b/tests/symengine/sd_common_tests/batch_optimizer_04.h @@ -0,0 +1,177 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. + +#include + +#include "../../tests.h" + +#include "serialization.h" + +using namespace dealii; +namespace SD = Differentiation::SD; + +template +void +test_serialization() +{ + namespace SD = Differentiation::SD; + typedef SD::Expression SD_number_t; + + // Serialization + // Note: We scope all symbolic variables to make sure that they are + // totally deleted. They're all persistent pointers in the background, + // so to fully verify the save-load condition we have to be doubly + // sure that everything is nuked. We'll lift the basic serialization + // routing from the serialization header. + std::ostringstream oss; + + { + // Define + const SD_number_t x("x"), y("y"); + const SD_number_t f = x * y; + const SD_number_t g = x / y; + + // Substitution map + const SD::types::substitution_map sub_vals = + SD::make_substitution_map(std::make_pair(x, NumberType(10.0)), + std::make_pair(y, NumberType(2.0))); + + // Optimize + SD::BatchOptimizer optimizer(opt_method, opt_flags); + optimizer.register_symbols(sub_vals); // Independent symbols + optimizer.register_functions(f, g); + optimizer.optimize(); + + // Substitute + optimizer.substitute(sub_vals); + + // Evaluate + const NumberType val_f = optimizer.evaluate(f); + const NumberType val_g = optimizer.evaluate(g); + deallog << "f: " << f << std::endl + << "g: " << g << std::endl + << "f(x,y): " << val_f << std::endl + << "g(x,y): " << val_g << std::endl + << std::endl; + + // Serialize + deallog << "Serializing..." << std::endl; + boost::archive::text_oarchive oa(oss, boost::archive::no_header); + oa << optimizer; + } + + // The output from the serialization of the LLVM optimizer + // confuses CTest, because it's binary. So don't output it + // in that cse. + if (opt_method != SD::OptimizerType::llvm) + { + deallog << "Serialized optimizer: " << std::endl; + deallog << oss.str() << std::endl; + } + // const std::string old_optimizer_string = oss.str(); + + // Deserialization + { + // Define + const SD_number_t x("x"), y("y"); + const SD_number_t f = x * y; + const SD_number_t g = x / y; + + // Optimizer + SD::BatchOptimizer optimizer; + + // Deserialze + deallog << "Deserializing..." << std::endl; + std::istringstream iss(oss.str()); + boost::archive::text_iarchive ia(iss, boost::archive::no_header); + ia >> optimizer; + + if (opt_method != SD::OptimizerType::llvm) + { + // Verify the correctness of the deserialization + std::ostringstream oss_2; + boost::archive::text_oarchive oa(oss_2, boost::archive::no_header); + oa << optimizer; + + deallog << "Deserialized optimizer: " << std::endl; + deallog << oss_2.str() << std::endl; + // const std::string new_optimizer_string = oss_2.str(); + + // deallog << "Compare: " << + // new_optimizer_string.compare(old_optimizer_string) << std::endl; + // AssertThrow(!new_optimizer_string.compare(old_optimizer_string), + // ExcInternalError()); + } + + // Evaluate: Verify the functioning of the deserialized optimizer + const NumberType val_f = optimizer.evaluate(f); + const NumberType val_g = optimizer.evaluate(g); + deallog << "f: " << f << std::endl + << "g: " << g << std::endl + << "f(x,y): " << val_f << std::endl + << "g(x,y): " << val_g << std::endl + << std::endl; + } + + deallog << "OK" << std::endl; +} + + +template +void +run_tests() +{ + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + deallog.push("Serialization"); + { + // deallog.push("Integer"); + // test_tensor(n_runs, timer); + // deallog.pop(); + + deallog.push("Float"); + test_serialization(); + deallog.pop(); + + deallog.push("Double"); + test_serialization(); + deallog.pop(); + + // The LLVM optimizer does not currently support complex numbers. + if (opt_method != SD::OptimizerType::llvm) + { + deallog.push("Complex float"); + test_serialization, opt_method, opt_flags>(); + deallog.pop(); + + deallog.push("Complex double"); + test_serialization, opt_method, opt_flags>(); + deallog.pop(); + } + } + deallog.pop(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/sd_common_tests/batch_optimizer_05.h b/tests/symengine/sd_common_tests/batch_optimizer_05.h new file mode 100644 index 0000000000..98630f4320 --- /dev/null +++ b/tests/symengine/sd_common_tests/batch_optimizer_05.h @@ -0,0 +1,271 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy only the optimizer and keep the other expressions +// that were used to initialize it. +// +// This test is based off of symengine/sd_common_tests/batch_optimizer_02.h + +#include + +#include + +#include "../../tests.h" + +#include "serialization.h" + +using namespace dealii; +namespace SD = Differentiation::SD; + + +template +Tensor<2, dim, NumberType> +make_tensor(const NumberType &val) +{ + Tensor<2, dim, NumberType> out; + for (unsigned int i = 0; i < dim; ++i) + out[i][i] = 1.0; + + for (unsigned int i = 0; i < out.n_independent_components; ++i) + out[out.unrolled_to_component_indices(i)] += i + val; + return out; +} + +template +SymmetricTensor<2, dim, NumberType> +make_symm_tensor(const NumberType &val) +{ + SymmetricTensor<2, dim, NumberType> out; + for (unsigned int i = 0; i < dim; ++i) + out[i][i] = 1.0; + + for (unsigned int i = 0; i < out.n_independent_components; ++i) + out[out.unrolled_to_component_indices(i)] += i + val; + return out; +} + +template +void +test_serialization(const int n_runs, TimerOutput &timer) +{ + namespace SD = Differentiation::SD; + typedef SD::Expression SD_number_t; + typedef Tensor<2, dim, SD_number_t> SD_tensor_t; + typedef SymmetricTensor<2, dim, SD_number_t> SD_symm_tensor_t; + + const NumberType a = NumberType(1.5); + const SD_number_t x("x"); + const SD_tensor_t y(SD::make_tensor_of_symbols<2, dim>("y")); + const SD_symm_tensor_t z(SD::make_symmetric_tensor_of_symbols<2, dim>("z")); + + timer.enter_subsection("Value calculation"); + const SD_number_t symb_s = + a + NumberType(2.0) * std::pow(x, determinant(y)) + + a * determinant(y) * std::log((z * z) / determinant(y)) + + std::sin((z * symmetrize(y)) / a); + deallog << "symb_s: " << symb_s << std::endl; + timer.leave_subsection("Value calculation"); + + timer.enter_subsection("Differentiation"); + const SD_number_t symb_ds_dx = SD::differentiate(symb_s, x); + const SD_tensor_t symb_ds_dy = SD::differentiate(symb_s, y); + const SD_symm_tensor_t symb_ds_dz = SD::differentiate(symb_s, z); + deallog << "symb_ds_dy: " << symb_ds_dy << std::endl; + timer.leave_subsection("Differentiation"); + + SD::types::substitution_map sub_vals; + SD::add_to_substitution_map(sub_vals, SD::make_substitution_map(x, 2.5)); + SD::add_to_substitution_map( + sub_vals, SD::make_substitution_map(y, make_tensor(NumberType(2.2)))); + SD::add_to_substitution_map( + sub_vals, + SD::make_substitution_map(z, make_symm_tensor(NumberType(3.7)))); + + deallog.push("Optimisation + substitution"); + { + // Send our symbolic expression through + // a batch optimiser + timer.enter_subsection("Optimisation"); + SD::BatchOptimizer optimizer(opt_method, opt_flags); + optimizer.register_symbols(sub_vals); // Independent symbols + optimizer.register_functions(symb_s, + symb_ds_dx, + symb_ds_dy, + symb_ds_dz); // Dependent symbolic expressions + optimizer.optimize(); + timer.leave_subsection("Optimisation"); + + timer.enter_subsection("Optimised substitution"); + for (unsigned int i = 0; i < n_runs; ++i) + { + optimizer.substitute(sub_vals); + + const NumberType val_s = optimizer.evaluate(symb_s); + const NumberType val_ds_dx = optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> val_ds_dy = + optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> val_ds_dz = + optimizer.evaluate(symb_ds_dz); + + if (i == 0) + { + deallog << "evaluation: " + << " s: " << val_s << " ds_dx: " << val_ds_dx + << " ds_dy: " << val_ds_dy << " ds_dz: " << val_ds_dz + << std::endl; + } + } + timer.leave_subsection("Optimised substitution"); + + timer.enter_subsection("Serialization"); + { + const NumberType val_s = optimizer.evaluate(symb_s); + const NumberType val_ds_dx = optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> val_ds_dy = + optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> val_ds_dz = + optimizer.evaluate(symb_ds_dz); + + deallog << "Evaluation (pre-serialization): " + << " s: " << val_s << " ds_dx: " << val_ds_dx + << " ds_dy: " << val_ds_dy << " ds_dz: " << val_ds_dz + << std::endl; + + // From serialization.h + deallog << "Serializing..." << std::endl; + SD::BatchOptimizer new_optimizer; + if (opt_method == SD::OptimizerType::llvm) + { + verify_no_logging(optimizer, new_optimizer); + } + else + { + verify(optimizer, new_optimizer); + } + + deallog << "Checking deserialisation..." << std::endl; + { + // Check that the original settings persist. + Assert(new_optimizer.optimization_method() == + optimizer.optimization_method(), + ExcInternalError()); + Assert(new_optimizer.optimization_flags() == + optimizer.optimization_flags(), + ExcInternalError()); + + // Check that new optimizer still produces correct results + // directly from evaluation + const NumberType new_val_s = new_optimizer.evaluate(symb_s); + const NumberType new_val_ds_dx = new_optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> new_val_ds_dy = + new_optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> new_val_ds_dz = + new_optimizer.evaluate(symb_ds_dz); + + deallog << "Evaluation (post-serialization): " + << " s: " << new_val_s << " ds_dx: " << new_val_ds_dx + << " ds_dy: " << new_val_ds_dy << " ds_dz: " << new_val_ds_dz + << std::endl; + + constexpr double tol = 1e-9; + Assert(std::abs(new_val_s - val_s) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert(std::abs(new_val_ds_dx - val_ds_dx) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dy - val_ds_dy).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dz - val_ds_dz).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + } + + // Check that new optimizer still produces correct results + // directly after substitution (we'll take a shortcut and + // use the old substitution map). + { + new_optimizer.substitute(sub_vals); + + const NumberType new_val_s = new_optimizer.evaluate(symb_s); + const NumberType new_val_ds_dx = new_optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> new_val_ds_dy = + new_optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> new_val_ds_dz = + new_optimizer.evaluate(symb_ds_dz); + + constexpr double tol = 1e-9; + Assert(std::abs(new_val_s - val_s) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert(std::abs(new_val_ds_dx - val_ds_dx) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dy - val_ds_dy).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dz - val_ds_dz).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + } + } + timer.leave_subsection("Serialization"); + } + deallog.pop(); +} + + +template +void +run_tests(const int n_runs = 1) +{ + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + deallog.push("Serialization"); + { + TimerOutput timer(std::cout, TimerOutput::summary, TimerOutput::wall_times); + + // deallog.push("Integer"); + // test_tensor(n_runs, timer); + // deallog.pop(); + + deallog.push("Float"); + test_serialization(n_runs, timer); + deallog.pop(); + + deallog.push("Double"); + test_serialization(n_runs, timer); + deallog.pop(); + + // The LLVM optimizer does not currently support complex numbers. + if (opt_method != SD::OptimizerType::llvm) + { + deallog.push("Complex float"); + test_serialization, opt_method, opt_flags>( + n_runs, timer); + deallog.pop(); + + deallog.push("Complex double"); + test_serialization, opt_method, opt_flags>( + n_runs, timer); + deallog.pop(); + } + } + deallog.pop(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/sd_common_tests/batch_optimizer_06.h b/tests/symengine/sd_common_tests/batch_optimizer_06.h new file mode 100644 index 0000000000..2b9ca2c2cf --- /dev/null +++ b/tests/symengine/sd_common_tests/batch_optimizer_06.h @@ -0,0 +1,324 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Check that serialization for the BatchOptimizer works as expected. +// In this test, we destroy the optimizer as well as all other expressions +// and symbols that were used in the creation of the optimizer. +// +// This test is based off of symengine/sd_common_tests/batch_optimizer_05.h + +#include +#include + +#include + +#include "../../tests.h" + +#include "serialization.h" + +using namespace dealii; +namespace SD = Differentiation::SD; + + +template +Tensor<2, dim, NumberType> +make_tensor(const NumberType &val) +{ + Tensor<2, dim, NumberType> out; + for (unsigned int i = 0; i < dim; ++i) + out[i][i] = 1.0; + + for (unsigned int i = 0; i < out.n_independent_components; ++i) + out[out.unrolled_to_component_indices(i)] += i + val; + return out; +} + +template +SymmetricTensor<2, dim, NumberType> +make_symm_tensor(const NumberType &val) +{ + SymmetricTensor<2, dim, NumberType> out; + for (unsigned int i = 0; i < dim; ++i) + out[i][i] = 1.0; + + for (unsigned int i = 0; i < out.n_independent_components; ++i) + out[out.unrolled_to_component_indices(i)] += i + val; + return out; +} + +template +void +test_serialization(const int n_runs, TimerOutput &timer) +{ + namespace SD = Differentiation::SD; + typedef SD::Expression SD_number_t; + typedef Tensor<2, dim, SD_number_t> SD_tensor_t; + typedef SymmetricTensor<2, dim, SD_number_t> SD_symm_tensor_t; + + // Serialization + // Note: We scope all symbolic variables to make sure that they are + // totally deleted. They're all persistent pointers in the background, + // so to fully verify the save-load condition we have to be doubly + // sure that everything is nuked. We'll lift the basic serialization + // routing from the serialization header. + std::ostringstream oss; + +#define CREATE_SYMBOLS_FUNCTIONS_SUBSTITUTION_MAP \ + const NumberType a = NumberType(1.5); \ + const SD_number_t x("x"); \ + const SD_tensor_t y(SD::make_tensor_of_symbols<2, dim>("y")); \ + const SD_symm_tensor_t z(SD::make_symmetric_tensor_of_symbols<2, dim>("z")); \ + \ + timer.enter_subsection("Value calculation"); \ + const SD_number_t symb_s = \ + a + NumberType(2.0) * std::pow(x, determinant(y)) + \ + a * determinant(y) * std::log((z * z) / determinant(y)) + \ + std::sin((z * symmetrize(y)) / a); \ + deallog << "symb_s: " << symb_s << std::endl; \ + timer.leave_subsection("Value calculation"); \ + \ + timer.enter_subsection("Differentiation"); \ + const SD_number_t symb_ds_dx = SD::differentiate(symb_s, x); \ + const SD_tensor_t symb_ds_dy = SD::differentiate(symb_s, y); \ + const SD_symm_tensor_t symb_ds_dz = SD::differentiate(symb_s, z); \ + deallog << "symb_ds_dy: " << symb_ds_dy << std::endl; \ + timer.leave_subsection("Differentiation"); \ + \ + SD::types::substitution_map sub_vals; \ + SD::add_to_substitution_map(sub_vals, SD::make_substitution_map(x, 2.5)); \ + SD::add_to_substitution_map( \ + sub_vals, \ + SD::make_substitution_map(y, make_tensor(NumberType(2.2)))); \ + SD::add_to_substitution_map( \ + sub_vals, \ + SD::make_substitution_map(z, make_symm_tensor(NumberType(3.7)))); + + // We'll store some results and compare the outcome + // of the same calculations after deserialization. + NumberType val_s = NumberType(0); + NumberType val_ds_dx = NumberType(0); + Tensor<2, dim, NumberType> val_ds_dy; + SymmetricTensor<2, dim, NumberType> val_ds_dz; + + // Serialize + { + // Do all of the preliminaries + CREATE_SYMBOLS_FUNCTIONS_SUBSTITUTION_MAP + + deallog.push("Optimisation + substitution"); + { + // Send our symbolic expression through + // a batch optimiser + timer.enter_subsection("Optimisation"); + SD::BatchOptimizer optimizer(opt_method, opt_flags); + optimizer.register_symbols(sub_vals); // Independent symbols + optimizer.register_functions( + symb_s, + symb_ds_dx, + symb_ds_dy, + symb_ds_dz); // Dependent symbolic expressions + optimizer.optimize(); + timer.leave_subsection("Optimisation"); + + timer.enter_subsection("Optimised substitution"); + for (unsigned int i = 0; i < n_runs; ++i) + { + optimizer.substitute(sub_vals); + + // Evaluate + val_s = optimizer.evaluate(symb_s); + val_ds_dx = optimizer.evaluate(symb_ds_dx); + val_ds_dy = optimizer.evaluate(symb_ds_dy); + val_ds_dz = optimizer.evaluate(symb_ds_dz); + + if (i == 0) + { + deallog << "evaluation: " + << " s: " << val_s << " ds_dx: " << val_ds_dx + << " ds_dy: " << val_ds_dy << " ds_dz: " << val_ds_dz + << std::endl; + } + } + timer.leave_subsection("Optimised substitution"); + + // Evaluate + const NumberType val_s = optimizer.evaluate(symb_s); + const NumberType val_ds_dx = optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> val_ds_dy = + optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> val_ds_dz = + optimizer.evaluate(symb_ds_dz); + + deallog << "Evaluation (pre-serialization): " + << " s: " << val_s << " ds_dx: " << val_ds_dx + << " ds_dy: " << val_ds_dy << " ds_dz: " << val_ds_dz + << std::endl; + + // Serialize + deallog << "Serializing..." << std::endl; + boost::archive::text_oarchive oa(oss, boost::archive::no_header); + oa << optimizer; + } + + // The output from the serialization of the LLVM optimizer + // confuses CTest, because it's binary. So don't output it + // in that cse. + if (opt_method != SD::OptimizerType::llvm) + { + deallog << "Serialized optimizer: " << std::endl; + deallog << oss.str() << std::endl; + } + + // timer.enter_subsection("Serialization"); + { + // Do all of the preliminaries + CREATE_SYMBOLS_FUNCTIONS_SUBSTITUTION_MAP + + // Optimizer + SD::BatchOptimizer optimizer; + + // Deserialze + deallog << "Deserializing..." << std::endl; + std::istringstream iss(oss.str()); + boost::archive::text_iarchive ia(iss, boost::archive::no_header); + ia >> optimizer; + + if (opt_method != SD::OptimizerType::llvm) + { + // Verify the correctness of the deserialization + std::ostringstream oss_2; + boost::archive::text_oarchive oa(oss_2, boost::archive::no_header); + oa << optimizer; + + deallog << "Deserialized optimizer: " << std::endl; + deallog << oss_2.str() << std::endl; + } + + deallog << "Checking deserialisation..." << std::endl; + // Check that the original settings persist. + Assert(optimizer.optimization_flags() == opt_flags, ExcInternalError()); + if (!(opt_method == SD::OptimizerType::llvm && + numbers::NumberTraits::is_complex)) + { + // We cannot do this check under all circumstances, as internally the + // optimizer type switches. + Assert(optimizer.optimization_method() == opt_method, + ExcInternalError()); + } + + { + // Check that new optimizer still produces correct results + // directly from evaluation + const NumberType new_val_s = optimizer.evaluate(symb_s); + const NumberType new_val_ds_dx = optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> new_val_ds_dy = + optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> new_val_ds_dz = + optimizer.evaluate(symb_ds_dz); + + deallog << "Evaluation (post-serialization): " + << " s: " << new_val_s << " ds_dx: " << new_val_ds_dx + << " ds_dy: " << new_val_ds_dy << " ds_dz: " << new_val_ds_dz + << std::endl; + + constexpr double tol = 1e-9; + Assert(std::abs(new_val_s - val_s) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert(std::abs(new_val_ds_dx - val_ds_dx) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dy - val_ds_dy).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dz - val_ds_dz).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + } + + // Check that new optimizer still produces correct results + // directly after substitution (we'll take a shortcut and + // use the old substitution map). + { + optimizer.substitute(sub_vals); + + const NumberType new_val_s = optimizer.evaluate(symb_s); + const NumberType new_val_ds_dx = optimizer.evaluate(symb_ds_dx); + const Tensor<2, dim, NumberType> new_val_ds_dy = + optimizer.evaluate(symb_ds_dy); + const SymmetricTensor<2, dim, NumberType> new_val_ds_dz = + optimizer.evaluate(symb_ds_dz); + + constexpr double tol = 1e-9; + Assert(std::abs(new_val_s - val_s) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert(std::abs(new_val_ds_dx - val_ds_dx) < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dy - val_ds_dy).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + Assert((new_val_ds_dz - val_ds_dz).norm() < tol, + ExcMessage("Problem with optimizer function: Serialization")); + } + } + // timer.leave_subsection("Serialization"); + } + deallog.pop(); +} + + +template +void +run_tests(const int n_runs = 1) +{ + // Show the difference between a SymEngine "value" and + // an evaluated, floating point number + // deallog << std::setprecision(3); + + deallog.push("Serialization"); + { + TimerOutput timer(std::cout, TimerOutput::summary, TimerOutput::wall_times); + + // deallog.push("Integer"); + // test_tensor(n_runs, timer); + // deallog.pop(); + + deallog.push("Float"); + test_serialization(n_runs, timer); + deallog.pop(); + + deallog.push("Double"); + test_serialization(n_runs, timer); + deallog.pop(); + + // The LLVM optimizer does not currently support complex numbers. + if (opt_method != SD::OptimizerType::llvm) + { + deallog.push("Complex float"); + test_serialization, opt_method, opt_flags>( + n_runs, timer); + deallog.pop(); + + deallog.push("Complex double"); + test_serialization, opt_method, opt_flags>( + n_runs, timer); + deallog.pop(); + } + } + deallog.pop(); + + deallog << "OK" << std::endl; +} diff --git a/tests/symengine/sd_common_tests/batch_optimizer_07.h b/tests/symengine/sd_common_tests/batch_optimizer_07.h new file mode 100644 index 0000000000..b5f2df2353 --- /dev/null +++ b/tests/symengine/sd_common_tests/batch_optimizer_07.h @@ -0,0 +1,547 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Test for the batch optimizer. +// Coupled double-differentiation example using SD-SD +// This test relates to ad_common_tests/helper_scalar_coupled_4_components_01.h +// This test is based off of symengine_tensor_operations_03.cc + +#include +#include +#include +#include +#include +#include +#include + +#include + +#include + +#include +#include + +#include +#include + + +// #define DEBUG_EXTRA + + +using namespace dealii; +namespace SD = Differentiation::SD; + +// Function and its derivatives +template +struct CoupledFunction +{ + // Firstly, here are a whole lot of helper functions to make + // computing derivatives of the pseudo-energy function easier + + static NumberType + det_t(const Tensor<2, dim, NumberType> &t) + { + return determinant(t); + } + + static Tensor<2, dim, NumberType> + ddet_t_dt(const Tensor<2, dim, NumberType> &t) + { + return det_t(t) * transpose(invert(t)); + } + + static Tensor<4, dim, NumberType> + d2det_t_dt_dt(const Tensor<2, dim, NumberType> &t) + { + const Tensor<2, dim, NumberType> t_inv = invert(t); + Tensor<4, dim, NumberType> dt_inv_trans_dt; + // https://en.wikiversity.org/wiki/Introduction_to_Elasticity/Tensors#Derivative_of_the_determinant_of_a_tensor + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = 0; j < dim; ++j) + for (unsigned int k = 0; k < dim; ++k) + for (unsigned int l = 0; l < dim; ++l) + dt_inv_trans_dt[i][j][k][l] = -t_inv[l][i] * t_inv[j][k]; + + return det_t(t) * outer_product(transpose(t_inv), transpose(t_inv)) + + det_t(t) * dt_inv_trans_dt; + } + + static NumberType + det_t(const SymmetricTensor<2, dim, NumberType> &t) + { + return determinant(t); + } + + static SymmetricTensor<2, dim, NumberType> + ddet_t_dt(const SymmetricTensor<2, dim, NumberType> &t) + { + const SymmetricTensor<2, dim, NumberType> t_inv = invert(t); + return det_t(t) * t_inv; + } + + static SymmetricTensor<4, dim, NumberType> + d2det_t_dt_dt(const SymmetricTensor<2, dim, NumberType> &t) + { + const SymmetricTensor<2, dim, NumberType> t_inv = invert(t); + SymmetricTensor<4, dim, NumberType> dt_inv_dt; + // https://en.wikiversity.org/wiki/Introduction_to_Elasticity/Tensors#Derivative_of_the_determinant_of_a_tensor + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = i; j < dim; ++j) + for (unsigned int k = 0; k < dim; ++k) + for (unsigned int l = k; l < dim; ++l) + dt_inv_dt[i][j][k][l] = + -0.5 * (t_inv[i][k] * t_inv[j][l] + t_inv[i][l] * t_inv[j][k]); + + return det_t(t) * outer_product(t_inv, t_inv) + det_t(t) * dt_inv_dt; + } + + static NumberType + v_dot_v(const Tensor<1, dim, NumberType> &v) + { + return v * v; + } + + static Tensor<1, dim, NumberType> + dv_dot_v_dv(const Tensor<1, dim, NumberType> &v) + { + return 2.0 * v; + } + + static Tensor<2, dim, NumberType> + d2v_dot_v_dv_dv(const Tensor<1, dim, NumberType> &v) + { + static const Tensor<2, dim, NumberType> I(unit_symmetric_tensor()); + return 2.0 * I; + } + + // -------------------------------------------------------------------------- + + // Here we define a pseudo-energy function that we wish to differentiate twice + // with respect to all variables + + static const double sf; + + static NumberType + psi(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return std::pow(det_t(t), 2) * std::pow(v_dot_v(v), 3) * std::pow(s, sf); + }; + + static NumberType + psi_optimised(const NumberType &det_t, + const NumberType &v_dot_v, + const NumberType &s) + { + return std::pow(det_t, 2) * std::pow(v_dot_v, 3) * std::pow(s, sf); + }; + + // -------------------------------------------------------------------------- + + // Here's the hand-calculated expansion of this energy functions first and + // second derivatives. Lots of fun... + + static Tensor<2, dim, NumberType> + dpsi_dt(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return 2.0 * std::pow(det_t(t), 1) * ddet_t_dt(t) * + std::pow(v_dot_v(v), 3) * std::pow(s, sf); + }; + + static Tensor<1, dim, NumberType> + dpsi_dv(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return std::pow(det_t(t), 2) * 3.0 * std::pow(v_dot_v(v), 2) * + dv_dot_v_dv(v) * std::pow(s, sf); + }; + + static NumberType + dpsi_ds(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return std::pow(det_t(t), 2) * std::pow(v_dot_v(v), 3) * sf * + std::pow(s, sf - 1.0); + }; + + static Tensor<4, dim, NumberType> + d2psi_dt_dt(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return 2.0 * std::pow(v_dot_v(v), 3) * + (std::pow(det_t(t), 0) * outer_product(ddet_t_dt(t), ddet_t_dt(t)) + + std::pow(det_t(t), 1) * d2det_t_dt_dt(t)) * + std::pow(s, sf); + }; + + static Tensor<3, dim, NumberType> + d2psi_dv_dt(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return 2.0 * std::pow(det_t(t), 1) * 3.0 * std::pow(v_dot_v(v), 2) * + outer_product(ddet_t_dt(t), dv_dot_v_dv(v)) * std::pow(s, sf); + }; + + static Tensor<2, dim, NumberType> + d2psi_ds_dt(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return 2.0 * std::pow(det_t(t), 1) * ddet_t_dt(t) * + std::pow(v_dot_v(v), 3) * sf * std::pow(s, sf - 1.0); + }; + + static Tensor<3, dim, NumberType> + d2psi_dt_dv(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return 2.0 * std::pow(det_t(t), 1) * 3.0 * std::pow(v_dot_v(v), 2) * + outer_product(dv_dot_v_dv(v), ddet_t_dt(t)) * std::pow(s, sf); + }; + + static Tensor<2, dim, NumberType> + d2psi_dv_dv(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return std::pow(det_t(t), 2) * 3.0 * + (2.0 * std::pow(v_dot_v(v), 1) * + outer_product(dv_dot_v_dv(v), dv_dot_v_dv(v)) + + std::pow(v_dot_v(v), 2) * d2v_dot_v_dv_dv(v)) * + std::pow(s, sf); + }; + + static Tensor<1, dim, NumberType> + d2psi_ds_dv(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return std::pow(det_t(t), 2) * 3.0 * std::pow(v_dot_v(v), 2) * + dv_dot_v_dv(v) * sf * std::pow(s, sf - 1.0); + }; + + static Tensor<2, dim, NumberType> + d2psi_dt_ds(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return 2.0 * std::pow(det_t(t), 1) * ddet_t_dt(t) * + std::pow(v_dot_v(v), 3) * sf * std::pow(s, sf - 1.0); + }; + + static Tensor<1, dim, NumberType> + d2psi_dv_ds(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return std::pow(det_t(t), 2) * 3.0 * std::pow(v_dot_v(v), 2) * + dv_dot_v_dv(v) * sf * std::pow(s, sf - 1.0); + }; + + static NumberType + d2psi_ds_ds(const Tensor<2, dim, NumberType> &t, + const Tensor<1, dim, NumberType> &v, + const NumberType & s) + { + return std::pow(det_t(t), 2) * std::pow(v_dot_v(v), 3) * sf * (sf - 1.0) * + std::pow(s, sf - 2.0); + }; +}; + +template +const double CoupledFunction::sf(2.2); + +template +void +print(Stream &stream, const std::string &name, const NumberType &val) +{ + stream << name << ": " << val << std::endl; +} +template +void +print(Stream & stream, + const std::string & name, + const Tensor<0, dim, NumberType> &val) +{ + stream << name << ": " << val << std::endl; +} +template +void +print(Stream & stream, + const std::string & name, + const Tensor<1, dim, NumberType> &t) +{ + for (unsigned int i = 0; i < dim; ++i) + stream << name << "[" << i << "]: " << t[i] << std::endl; +} +template +void +print(Stream & stream, + const std::string & name, + const Tensor<2, dim, NumberType> &t) +{ + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = 0; j < dim; ++j) + stream << name << "[" << i << "][" << j << "]: " << t[i][j] << std::endl; +} +template +void +print(Stream & stream, + const std::string & name, + const Tensor<3, dim, NumberType> &t) +{ + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = 0; j < dim; ++j) + for (unsigned int k = 0; k < dim; ++k) + stream << name << "[" << i << "][" << j << "][" << k + << "]: " << t[i][j][k] << std::endl; +} +template +void +print(Stream & stream, + const std::string & name, + const Tensor<4, dim, NumberType> &t) +{ + for (unsigned int i = 0; i < dim; ++i) + for (unsigned int j = 0; j < dim; ++j) + for (unsigned int k = 0; k < dim; ++k) + for (unsigned int l = 0; l < dim; ++l) + stream << name << "[" << i << "][" << j << "][" << k << "][" << l + << "]: " << t[i][j][k][l] << std::endl; +} + +template +void +evaluate_SD_SD_stored_symbols_optimisation(const Tensor<2, dim> &t, + const Tensor<1, dim> &v, + const double & s) +{ + typedef SD::Expression SDNumberType; + + // Compute the symbolic (derivative) tensors once off + // ahead of time, and store them for each run of the function + // Symbols + static const Tensor<2, dim, SDNumberType> symb_t( + SD::make_tensor_of_symbols<2, dim>("t")); + static const Tensor<1, dim, SDNumberType> symb_v( + SD::make_tensor_of_symbols<1, dim>("v")); + static const SDNumberType symb_s(SD::make_symbol("s")); + // Value + static SDNumberType symb_psi; + // First derivatives + static Tensor<2, dim, SDNumberType> symb_dpsi_dt; + static Tensor<1, dim, SDNumberType> symb_dpsi_dv; + static SDNumberType symb_dpsi_ds; + // Second derivatives + static Tensor<4, dim, SDNumberType> symb_d2psi_dt_dt; + static Tensor<3, dim, SDNumberType> symb_d2psi_dv_dt; + static Tensor<2, dim, SDNumberType> symb_d2psi_ds_dt; + static Tensor<3, dim, SDNumberType> symb_d2psi_dt_dv; + static Tensor<2, dim, SDNumberType> symb_d2psi_dv_dv; + static Tensor<1, dim, SDNumberType> symb_d2psi_ds_dv; + static Tensor<2, dim, SDNumberType> symb_d2psi_dt_ds; + static Tensor<1, dim, SDNumberType> symb_d2psi_dv_ds; + static SDNumberType symb_d2psi_ds_ds; + + static SD::BatchOptimizer optimizer(opt_method, opt_flags); + + static bool symbols_initialised = false; + if (symbols_initialised == false) + { + // Function and its derivatives + typedef CoupledFunction func_sd; + + symb_psi = func_sd::psi(symb_t, symb_v, symb_s); +#if DEBUG_EXTRA + deallog << "symb_t: " << symb_t << std::endl; + deallog << "symb_v: " << symb_v << std::endl; + deallog << "symb_s: " << symb_s << std::endl; + deallog << "symb_psi: " << symb_psi << std::endl; +#endif + + // First derivative + symb_dpsi_dt = SD::differentiate(symb_psi, symb_t); + symb_dpsi_dv = SD::differentiate(symb_psi, symb_v); + symb_dpsi_ds = SD::differentiate(symb_psi, symb_s); + // Second derivatives + symb_d2psi_dt_dt = SD::differentiate(symb_dpsi_dt, symb_t); + symb_d2psi_dv_dt = SD::differentiate(symb_dpsi_dt, symb_v); + symb_d2psi_ds_dt = SD::differentiate(symb_dpsi_dt, symb_s); + symb_d2psi_dt_dv = SD::differentiate(symb_dpsi_dv, symb_t); + symb_d2psi_dv_dv = SD::differentiate(symb_dpsi_dv, symb_v); + symb_d2psi_ds_dv = SD::differentiate(symb_dpsi_dv, symb_s); + symb_d2psi_dt_ds = SD::differentiate(symb_dpsi_ds, symb_t); + symb_d2psi_dv_ds = SD::differentiate(symb_dpsi_ds, symb_v); + symb_d2psi_ds_ds = SD::differentiate(symb_dpsi_ds, symb_s); +#if DEBUG_EXTRA + print(deallog, "symb_psi", symb_psi); + print(deallog, "symb_dpsi_dt", symb_dpsi_dt); + print(deallog, "symb_dpsi_dv", symb_dpsi_dv); + print(deallog, "symb_dpsi_ds", symb_dpsi_ds); + print(deallog, "symb_d2psi_dt_dt", symb_d2psi_dt_dt); + print(deallog, "symb_d2psi_dv_dt", symb_d2psi_dv_dt); + print(deallog, "symb_d2psi_ds_dt", symb_d2psi_ds_dt); + print(deallog, "symb_d2psi_dt_dv", symb_d2psi_dt_dv); + print(deallog, "symb_d2psi_dv_dv", symb_d2psi_dv_dv); + print(deallog, "symb_d2psi_ds_dv", symb_d2psi_ds_dv); + print(deallog, "symb_d2psi_dt_ds", symb_d2psi_dt_ds); + print(deallog, "symb_d2psi_dv_ds", symb_d2psi_dv_ds); + print(deallog, "symb_d2psi_ds_ds", symb_d2psi_ds_ds); +#endif + + const SD::types::substitution_map sub_vals_optim = + SD::make_symbol_map(symb_t, symb_v, symb_s); + optimizer.register_symbols(sub_vals_optim); + + // Value + optimizer.register_function(symb_psi); + // First derivative + optimizer.register_function(symb_dpsi_dt); + optimizer.register_function(symb_dpsi_dv); + optimizer.register_function(symb_dpsi_ds); + // Second derivatives + optimizer.register_function(symb_d2psi_dt_dt); + optimizer.register_function(symb_d2psi_dv_dt); + optimizer.register_function(symb_d2psi_ds_dt); + optimizer.register_function(symb_d2psi_dt_dv); + optimizer.register_function(symb_d2psi_dv_dv); + optimizer.register_function(symb_d2psi_ds_dv); + optimizer.register_function(symb_d2psi_dt_ds); + optimizer.register_function(symb_d2psi_dv_ds); + optimizer.register_function(symb_d2psi_ds_ds); + + optimizer.optimize(); + + symbols_initialised = true; + + // Print optimiser +#ifdef DEBUG_EXTRA + const bool print_optimiser = true; +#else + const bool print_optimiser = false; +#endif + if (print_optimiser == true) + { + deallog << "Optimizer" << std::endl; + optimizer.print(deallog.get_file_stream()); + } + } + + SD::types::substitution_map sub_vals; + SD::add_to_substitution_map(sub_vals, symb_t, t); + SD::add_to_substitution_map(sub_vals, symb_v, v); + SD::add_to_substitution_map(sub_vals, symb_s, s); + + optimizer.substitute(sub_vals); + + // Value + const double psi = optimizer.evaluate(symb_psi); + // First derivatives + const Tensor<2, dim, double> dpsi_dt = optimizer.evaluate(symb_dpsi_dt); + const Tensor<1, dim, double> dpsi_dv = optimizer.evaluate(symb_dpsi_dv); + const double dpsi_ds = optimizer.evaluate(symb_dpsi_ds); + // Second derivatives + const Tensor<4, dim, double> d2psi_dt_dt = + optimizer.evaluate(symb_d2psi_dt_dt); + const Tensor<3, dim, double> d2psi_dv_dt = + optimizer.evaluate(symb_d2psi_dv_dt); + const Tensor<2, dim, double> d2psi_ds_dt = + optimizer.evaluate(symb_d2psi_ds_dt); + const Tensor<3, dim, double> d2psi_dt_dv = + optimizer.evaluate(symb_d2psi_dt_dv); + const Tensor<2, dim, double> d2psi_dv_dv = + optimizer.evaluate(symb_d2psi_dv_dv); + const Tensor<1, dim, double> d2psi_ds_dv = + optimizer.evaluate(symb_d2psi_ds_dv); + const Tensor<2, dim, double> d2psi_dt_ds = + optimizer.evaluate(symb_d2psi_dt_ds); + const Tensor<1, dim, double> d2psi_dv_ds = + optimizer.evaluate(symb_d2psi_dv_ds); + const double d2psi_ds_ds = optimizer.evaluate(symb_d2psi_ds_ds); + + // Verify the result + typedef CoupledFunction func; + static const double tol = 1e-12; + Assert(std::abs(psi - func::psi(t, v, s)) < tol, + ExcMessage("No match for function value.")); + Assert(std::abs((dpsi_dt - func::dpsi_dt(t, v, s)).norm()) < tol, + ExcMessage("No match for first derivative.")); + Assert(std::abs((dpsi_dv - func::dpsi_dv(t, v, s)).norm()) < tol, + ExcMessage("No match for first derivative.")); + Assert(std::abs(dpsi_ds - func::dpsi_ds(t, v, s)) < tol, + ExcMessage("No match for first derivative.")); + Assert(std::abs((d2psi_dt_dt - func::d2psi_dt_dt(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs((d2psi_dv_dt - func::d2psi_dv_dt(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs((d2psi_ds_dt - func::d2psi_ds_dt(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs((d2psi_dt_dv - func::d2psi_dt_dv(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs((d2psi_dv_dv - func::d2psi_dv_dv(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs((d2psi_ds_dv - func::d2psi_ds_dv(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs((d2psi_dt_ds - func::d2psi_dt_ds(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs((d2psi_dv_ds - func::d2psi_dv_ds(t, v, s)).norm()) < tol, + ExcMessage("No match for second derivative.")); + Assert(std::abs(d2psi_ds_ds - func::d2psi_ds_ds(t, v, s)) < tol, + ExcMessage("No match for second derivative.")); +} + +template +void +run_tests(const unsigned int n_runs = 100) +{ + deallog.push("dim " + Utilities::to_string(dim)); + + Tensor<2, dim> t = unit_symmetric_tensor(); + Tensor<1, dim> v; + double s = 0.57; + for (unsigned int i = 0; i < dim; ++i) + { + v[i] = 0.275 * (1.0 + i); + for (unsigned int j = 0; j < dim; ++j) + t[i][j] = 1.03 + 1.15 * (((i + 1) * j) % dim); + } + t *= 0.9; + v *= 0.63; + s *= 1.21; + + using ReturnType = double; + for (unsigned int i = 0; i < n_runs; ++i) + evaluate_SD_SD_stored_symbols_optimisation(t, v, s); + + deallog << "OK" << std::endl; + deallog.pop(); +} diff --git a/tests/symengine/sd_common_tests/serialization.h b/tests/symengine/sd_common_tests/serialization.h new file mode 100644 index 0000000000..d125e94cef --- /dev/null +++ b/tests/symengine/sd_common_tests/serialization.h @@ -0,0 +1,97 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + +// Implement some serialization comparison specializations + +#include + +#include "../../serialization/serialization.h" + +using namespace dealii; +namespace SD = Differentiation::SD; + +// Overload the comparison function in serialization.h +template +bool +compare_optimizers(const SD::BatchOptimizer &t1, + const SD::BatchOptimizer &t2) +{ + return (t1.n_independent_variables() == t2.n_independent_variables()) && + (t1.n_dependent_variables() == t2.n_dependent_variables()) && + (t1.optimization_method() == t2.optimization_method()) && + (t1.optimization_flags() == t2.optimization_flags()); +} + +template <> +bool +compare(const SD::BatchOptimizer &t1, + const SD::BatchOptimizer &t2) +{ + return compare_optimizers(t1, t2); +} + +template <> +bool +compare(const SD::BatchOptimizer &t1, + const SD::BatchOptimizer &t2) +{ + return compare_optimizers(t1, t2); +} + + +template <> +bool +compare(const SD::BatchOptimizer> &t1, + const SD::BatchOptimizer> &t2) +{ + return compare_optimizers(t1, t2); +} + +template <> +bool +compare(const SD::BatchOptimizer> &t1, + const SD::BatchOptimizer> &t2) +{ + return compare_optimizers(t1, t2); +} + + + +template +void +verify_no_logging(const T &t1, T &t2) +{ + // save data to archive + std::ostringstream oss; + { + boost::archive::text_oarchive oa(oss, boost::archive::no_header); + oa << t1; + // archive and stream closed when + // destructors are called + } + + // verify correctness of the + // serialization + { + std::istringstream iss(oss.str()); + boost::archive::text_iarchive ia(iss, boost::archive::no_header); + + + ia >> t2; + + AssertThrow(compare(t1, t2), ExcInternalError()); + } +} diff --git a/tests/symengine/sd_common_tests/step-44-sd-quadrature_level.h b/tests/symengine/sd_common_tests/step-44-sd-quadrature_level.h new file mode 100644 index 0000000000..6b316bbd85 --- /dev/null +++ b/tests/symengine/sd_common_tests/step-44-sd-quadrature_level.h @@ -0,0 +1,2041 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + +// This is a modified version of step-44, which tests the implementation of +// QP-level symbolic-differentiation. +// The differentiation is performed inline with the update step. + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + +#include +#include + +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include + +#include +#include +#include + +#include +#include + +namespace Step44 +{ + using namespace dealii; + namespace Parameters + { + struct FESystem + { + unsigned int poly_degree; + unsigned int quad_order; + static void + declare_parameters(ParameterHandler &prm); + void + parse_parameters(ParameterHandler &prm); + }; + void + FESystem::declare_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Finite element system"); + { + prm.declare_entry("Polynomial degree", + "2", + Patterns::Integer(0), + "Displacement system polynomial order"); + prm.declare_entry("Quadrature order", + "3", + Patterns::Integer(0), + "Gauss quadrature order"); + } + prm.leave_subsection(); + } + void + FESystem::parse_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Finite element system"); + { + poly_degree = prm.get_integer("Polynomial degree"); + quad_order = prm.get_integer("Quadrature order"); + } + prm.leave_subsection(); + } + struct Geometry + { + unsigned int global_refinement; + double scale; + double p_p0; + static void + declare_parameters(ParameterHandler &prm); + void + parse_parameters(ParameterHandler &prm); + }; + void + Geometry::declare_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Geometry"); + { + prm.declare_entry("Global refinement", + "2", + Patterns::Integer(0), + "Global refinement level"); + prm.declare_entry("Grid scale", + "1e-3", + Patterns::Double(0.0), + "Global grid scaling factor"); + prm.declare_entry("Pressure ratio p/p0", + "100", + Patterns::Selection("20|40|60|80|100"), + "Ratio of applied pressure to reference pressure"); + } + prm.leave_subsection(); + } + void + Geometry::parse_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Geometry"); + { + global_refinement = prm.get_integer("Global refinement"); + scale = prm.get_double("Grid scale"); + p_p0 = prm.get_double("Pressure ratio p/p0"); + } + prm.leave_subsection(); + } + struct Materials + { + double nu; + double mu; + static void + declare_parameters(ParameterHandler &prm); + void + parse_parameters(ParameterHandler &prm); + }; + void + Materials::declare_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Material properties"); + { + prm.declare_entry("Poisson's ratio", + "0.4999", + Patterns::Double(-1.0, 0.5), + "Poisson's ratio"); + prm.declare_entry("Shear modulus", + "80.194e6", + Patterns::Double(), + "Shear modulus"); + } + prm.leave_subsection(); + } + void + Materials::parse_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Material properties"); + { + nu = prm.get_double("Poisson's ratio"); + mu = prm.get_double("Shear modulus"); + } + prm.leave_subsection(); + } + struct LinearSolver + { + std::string type_lin; + double tol_lin; + double max_iterations_lin; + bool use_static_condensation; + std::string preconditioner_type; + double preconditioner_relaxation; + static void + declare_parameters(ParameterHandler &prm); + void + parse_parameters(ParameterHandler &prm); + }; + void + LinearSolver::declare_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Linear solver"); + { + prm.declare_entry("Solver type", + "CG", + Patterns::Selection("CG|Direct"), + "Type of solver used to solve the linear system"); + prm.declare_entry("Residual", + "1e-6", + Patterns::Double(0.0), + "Linear solver residual (scaled by residual norm)"); + prm.declare_entry( + "Max iteration multiplier", + "1", + Patterns::Double(0.0), + "Linear solver iterations (multiples of the system matrix size)"); + prm.declare_entry("Use static condensation", + "true", + Patterns::Bool(), + "Solve the full block system or a reduced problem"); + prm.declare_entry("Preconditioner type", + "ssor", + Patterns::Selection("jacobi|ssor"), + "Type of preconditioner"); + prm.declare_entry("Preconditioner relaxation", + "0.65", + Patterns::Double(0.0), + "Preconditioner relaxation value"); + } + prm.leave_subsection(); + } + void + LinearSolver::parse_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Linear solver"); + { + type_lin = prm.get("Solver type"); + tol_lin = prm.get_double("Residual"); + max_iterations_lin = prm.get_double("Max iteration multiplier"); + use_static_condensation = prm.get_bool("Use static condensation"); + preconditioner_type = prm.get("Preconditioner type"); + preconditioner_relaxation = prm.get_double("Preconditioner relaxation"); + } + prm.leave_subsection(); + } + struct NonlinearSolver + { + unsigned int max_iterations_NR; + double tol_f; + double tol_u; + static void + declare_parameters(ParameterHandler &prm); + void + parse_parameters(ParameterHandler &prm); + }; + void + NonlinearSolver::declare_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Nonlinear solver"); + { + prm.declare_entry("Max iterations Newton-Raphson", + "10", + Patterns::Integer(0), + "Number of Newton-Raphson iterations allowed"); + prm.declare_entry("Tolerance force", + "1.0e-9", + Patterns::Double(0.0), + "Force residual tolerance"); + prm.declare_entry("Tolerance displacement", + "1.0e-6", + Patterns::Double(0.0), + "Displacement error tolerance"); + } + prm.leave_subsection(); + } + void + NonlinearSolver::parse_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Nonlinear solver"); + { + max_iterations_NR = prm.get_integer("Max iterations Newton-Raphson"); + tol_f = prm.get_double("Tolerance force"); + tol_u = prm.get_double("Tolerance displacement"); + } + prm.leave_subsection(); + } + struct Time + { + double delta_t; + double end_time; + static void + declare_parameters(ParameterHandler &prm); + void + parse_parameters(ParameterHandler &prm); + }; + void + Time::declare_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Time"); + { + prm.declare_entry("End time", "1", Patterns::Double(), "End time"); + prm.declare_entry("Time step size", + "0.1", + Patterns::Double(), + "Time step size"); + } + prm.leave_subsection(); + } + void + Time::parse_parameters(ParameterHandler &prm) + { + prm.enter_subsection("Time"); + { + end_time = prm.get_double("End time"); + delta_t = prm.get_double("Time step size"); + } + prm.leave_subsection(); + } + struct AllParameters : public FESystem, + public Geometry, + public Materials, + public LinearSolver, + public NonlinearSolver, + public Time + { + AllParameters(const std::string &input_file); + static void + declare_parameters(ParameterHandler &prm); + void + parse_parameters(ParameterHandler &prm); + }; + AllParameters::AllParameters(const std::string &input_file) + { + ParameterHandler prm; + declare_parameters(prm); + prm.parse_input(input_file); + parse_parameters(prm); + } + void + AllParameters::declare_parameters(ParameterHandler &prm) + { + FESystem::declare_parameters(prm); + Geometry::declare_parameters(prm); + Materials::declare_parameters(prm); + LinearSolver::declare_parameters(prm); + NonlinearSolver::declare_parameters(prm); + Time::declare_parameters(prm); + } + void + AllParameters::parse_parameters(ParameterHandler &prm) + { + FESystem::parse_parameters(prm); + Geometry::parse_parameters(prm); + Materials::parse_parameters(prm); + LinearSolver::parse_parameters(prm); + NonlinearSolver::parse_parameters(prm); + Time::parse_parameters(prm); + } + } // namespace Parameters + template + class StandardTensors + { + public: + static const SymmetricTensor<2, dim> I; + static const SymmetricTensor<4, dim> IxI; + static const SymmetricTensor<4, dim> II; + static const SymmetricTensor<4, dim> dev_P; + }; + template + const SymmetricTensor<2, dim> + StandardTensors::I = unit_symmetric_tensor(); + template + const SymmetricTensor<4, dim> StandardTensors::IxI = outer_product(I, I); + template + const SymmetricTensor<4, dim> + StandardTensors::II = identity_tensor(); + template + const SymmetricTensor<4, dim> + StandardTensors::dev_P = deviator_tensor(); + class Time + { + public: + Time(const double time_end, const double delta_t) + : timestep(0) + , time_current(0.0) + , time_end(time_end) + , delta_t(delta_t) + {} + virtual ~Time() + {} + double + current() const + { + return time_current; + } + double + end() const + { + return time_end; + } + double + get_delta_t() const + { + return delta_t; + } + unsigned int + get_timestep() const + { + return timestep; + } + void + increment() + { + time_current += delta_t; + ++timestep; + } + + private: + unsigned int timestep; + double time_current; + const double time_end; + const double delta_t; + }; + template + class Material_Compressible_Neo_Hook_Three_Field + { + public: + Material_Compressible_Neo_Hook_Three_Field(const double mu, const double nu) + : kappa((2.0 * mu * (1.0 + nu)) / (3.0 * (1.0 - 2.0 * nu))) + , c_1(mu / 2.0) + , det_F(1.0) + , p_tilde(0.0) + , J_tilde(1.0) + , b_bar(StandardTensors::I) + { + Assert(kappa > 0, ExcInternalError()); + } + ~Material_Compressible_Neo_Hook_Three_Field() + {} + void + update_material_data(const Tensor<2, dim> &F, + const double p_tilde_in, + const double J_tilde_in) + { + det_F = determinant(F); + b_bar = std::pow(det_F, -2.0 / dim) * symmetrize(F * transpose(F)); + p_tilde = p_tilde_in; + J_tilde = J_tilde_in; + Assert(det_F > 0, ExcInternalError()); + } + template + NumberType + get_Psi_iso(const SymmetricTensor<2, dim, NumberType> &C_bar) + { + // using namespace SD; + return c_1 * (trace(C_bar) - NumberType(dim)); + } + template + NumberType + get_Psi_vol(const NumberType &J_tilde) + { + // using namespace SD; + return (kappa / 4.0) * + (J_tilde * J_tilde - NumberType(1.0) - 2.0 * log(J_tilde)); + } + + // === OLD FUNCTIONS REMAIN FOR TESTING === + + SymmetricTensor<2, dim> + get_tau() + { + return get_tau_iso() + get_tau_vol(); + } + SymmetricTensor<4, dim> + get_Jc() const + { + return get_Jc_vol() + get_Jc_iso(); + } + double + get_dPsi_vol_dJ() const + { + return (kappa / 2.0) * (J_tilde - 1.0 / J_tilde); + } + double + get_d2Psi_vol_dJ2() const + { + return ((kappa / 2.0) * (1.0 + 1.0 / (J_tilde * J_tilde))); + } + double + get_det_F() const + { + return det_F; + } + double + get_p_tilde() const + { + return p_tilde; + } + double + get_J_tilde() const + { + return J_tilde; + } + + protected: + const double kappa; + const double c_1; + double det_F; + double p_tilde; + double J_tilde; + SymmetricTensor<2, dim> b_bar; + SymmetricTensor<2, dim> + get_tau_vol() const + { + return p_tilde * det_F * StandardTensors::I; + } + SymmetricTensor<2, dim> + get_tau_iso() const + { + return StandardTensors::dev_P * get_tau_bar(); + } + SymmetricTensor<2, dim> + get_tau_bar() const + { + return 2.0 * c_1 * b_bar; + } + SymmetricTensor<4, dim> + get_Jc_vol() const + { + return p_tilde * det_F * + (StandardTensors::IxI - (2.0 * StandardTensors::II)); + } + SymmetricTensor<4, dim> + get_Jc_iso() const + { + const SymmetricTensor<2, dim> tau_bar = get_tau_bar(); + const SymmetricTensor<2, dim> tau_iso = get_tau_iso(); + const SymmetricTensor<4, dim> tau_iso_x_I = + outer_product(tau_iso, StandardTensors::I); + const SymmetricTensor<4, dim> I_x_tau_iso = + outer_product(StandardTensors::I, tau_iso); + const SymmetricTensor<4, dim> c_bar = get_c_bar(); + return (2.0 / dim) * trace(tau_bar) * StandardTensors::dev_P - + (2.0 / dim) * (tau_iso_x_I + I_x_tau_iso) + + StandardTensors::dev_P * c_bar * StandardTensors::dev_P; + } + SymmetricTensor<4, dim> + get_c_bar() const + { + return SymmetricTensor<4, dim>(); + } + }; + + // Forward declare + template + class PointHistory; + + template + class Solid + { + public: + Solid(const std::string &input_file); + virtual ~Solid(); + void + run(); + + private: + struct PerTaskData_K; + struct ScratchData_K; + struct PerTaskData_RHS; + struct ScratchData_RHS; + struct PerTaskData_SC; + struct ScratchData_SC; + struct PerTaskData_UQPH; + struct ScratchData_UQPH; + void + make_grid(); + void + system_setup(); + void + determine_component_extractors(); + void + assemble_system_tangent(); + void + assemble_system_tangent_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_K & scratch, + PerTaskData_K & data) const; + void + copy_local_to_global_K(const PerTaskData_K &data); + void + assemble_system_rhs(); + void + assemble_system_rhs_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_RHS & scratch, + PerTaskData_RHS & data) const; + void + copy_local_to_global_rhs(const PerTaskData_RHS &data); + void + assemble_sc(); + void + assemble_sc_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_SC & scratch, + PerTaskData_SC & data); + void + copy_local_to_global_sc(const PerTaskData_SC &data); + void + make_constraints(const int &it_nr); + void + setup_qph(); + void + update_qph_incremental(const BlockVector &solution_delta); + void + update_qph_incremental_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_UQPH & scratch, + PerTaskData_UQPH & data); + void + copy_local_to_global_UQPH(const PerTaskData_UQPH & /*data*/) + {} + void + solve_nonlinear_timestep(BlockVector &solution_delta); + std::pair + solve_linear_system(BlockVector &newton_update); + BlockVector + get_total_solution(const BlockVector &solution_delta) const; + void + output_results() const; + Parameters::AllParameters parameters; + double vol_reference; + Triangulation triangulation; + Time time; + mutable TimerOutput timer; + CellDataStorage::cell_iterator, + PointHistory> + quadrature_point_history; + const unsigned int degree; + const FESystem fe; + DoFHandler dof_handler_ref; + const unsigned int dofs_per_cell; + const FEValuesExtractors::Vector u_fe; + const FEValuesExtractors::Scalar p_fe; + const FEValuesExtractors::Scalar J_fe; + static const unsigned int n_blocks = 3; + static const unsigned int n_components = dim + 2; + static const unsigned int first_u_component = 0; + static const unsigned int p_component = dim; + static const unsigned int J_component = dim + 1; + enum + { + u_dof = 0, + p_dof = 1, + J_dof = 2 + }; + std::vector dofs_per_block; + std::vector element_indices_u; + std::vector element_indices_p; + std::vector element_indices_J; + const QGauss qf_cell; + const QGauss qf_face; + const unsigned int n_q_points; + const unsigned int n_q_points_f; + AffineConstraints constraints; + BlockSparsityPattern sparsity_pattern; + BlockSparseMatrix tangent_matrix; + BlockVector system_rhs; + BlockVector solution_n; + struct Errors + { + Errors() + : norm(1.0) + , u(1.0) + , p(1.0) + , J(1.0) + {} + void + reset() + { + norm = 1.0; + u = 1.0; + p = 1.0; + J = 1.0; + } + void + normalise(const Errors &rhs) + { + if (rhs.norm != 0.0) + norm /= rhs.norm; + if (rhs.u != 0.0) + u /= rhs.u; + if (rhs.p != 0.0) + p /= rhs.p; + if (rhs.J != 0.0) + J /= rhs.J; + } + double norm, u, p, J; + }; + Errors error_residual, error_residual_0, error_residual_norm, error_update, + error_update_0, error_update_norm; + void + get_error_residual(Errors &error_residual); + void + get_error_update(const BlockVector &newton_update, + Errors & error_update); + std::pair + get_error_dilation() const; + double + compute_vol_current() const; + static void + print_conv_header(); + void + print_conv_footer(); + }; + template + Solid::Solid(const std::string &input_file) + : parameters(input_file) + , triangulation(Triangulation::maximum_smoothing) + , time(parameters.end_time, parameters.delta_t) + , timer(std::cout, TimerOutput::never, TimerOutput::wall_times) + , degree(parameters.poly_degree) + , fe(FE_Q(parameters.poly_degree), + dim, // displacement + FE_DGPMonomial(parameters.poly_degree - 1), + 1, // pressure + FE_DGPMonomial(parameters.poly_degree - 1), + 1) + , // dilatation + dof_handler_ref(triangulation) + , dofs_per_cell(fe.dofs_per_cell) + , u_fe(first_u_component) + , p_fe(p_component) + , J_fe(J_component) + , dofs_per_block(n_blocks) + , qf_cell(parameters.quad_order) + , qf_face(parameters.quad_order) + , n_q_points(qf_cell.size()) + , n_q_points_f(qf_face.size()) + { + Assert(dim == 2 || dim == 3, + ExcMessage("This problem only works in 2 or 3 space dimensions.")); + determine_component_extractors(); + } + template + Solid::~Solid() + { + dof_handler_ref.clear(); + } + template + void + Solid::run() + { + make_grid(); + system_setup(); + { + AffineConstraints constraints; + constraints.close(); + const ComponentSelectFunction J_mask(J_component, n_components); + VectorTools::project(dof_handler_ref, + constraints, + QGauss(degree + 2), + J_mask, + solution_n); + } + // output_results(); + time.increment(); + BlockVector solution_delta(dofs_per_block); + while (time.current() < time.end()) + { + solution_delta = 0.0; + solve_nonlinear_timestep(solution_delta); + solution_n += solution_delta; + // output_results(); + // Output displacement at centre of traction surface + { + const Point soln_pt( + dim == 3 ? Point(0.0, 1.0, 0.0) * parameters.scale : + Point(0.0, 1.0) * parameters.scale); + typename DoFHandler::active_cell_iterator + cell = dof_handler_ref.begin_active(), + endc = dof_handler_ref.end(); + for (; cell != endc; ++cell) + for (unsigned int v = 0; v < GeometryInfo::vertices_per_cell; + ++v) + if (cell->vertex(v).distance(soln_pt) < 1e-6 * parameters.scale) + { + Tensor<1, dim> soln; + for (unsigned int d = 0; d < dim; ++d) + soln[d] = solution_n(cell->vertex_dof_index(v, u_dof + d)); + deallog << "Timestep " << time.get_timestep() << ": " << soln + << std::endl; + } + } + time.increment(); + } + } + template + struct Solid::PerTaskData_K + { + FullMatrix cell_matrix; + std::vector local_dof_indices; + PerTaskData_K(const unsigned int dofs_per_cell) + : cell_matrix(dofs_per_cell, dofs_per_cell) + , local_dof_indices(dofs_per_cell) + {} + void + reset() + { + cell_matrix = 0.0; + } + }; + template + struct Solid::ScratchData_K + { + FEValues fe_values_ref; + std::vector> Nx; + std::vector>> grad_Nx; + std::vector>> symm_grad_Nx; + ScratchData_K(const FiniteElement &fe_cell, + const QGauss & qf_cell, + const UpdateFlags uf_cell) + : fe_values_ref(fe_cell, qf_cell, uf_cell) + , Nx(qf_cell.size(), std::vector(fe_cell.dofs_per_cell)) + , grad_Nx(qf_cell.size(), + std::vector>(fe_cell.dofs_per_cell)) + , symm_grad_Nx(qf_cell.size(), + std::vector>( + fe_cell.dofs_per_cell)) + {} + ScratchData_K(const ScratchData_K &rhs) + : fe_values_ref(rhs.fe_values_ref.get_fe(), + rhs.fe_values_ref.get_quadrature(), + rhs.fe_values_ref.get_update_flags()) + , Nx(rhs.Nx) + , grad_Nx(rhs.grad_Nx) + , symm_grad_Nx(rhs.symm_grad_Nx) + {} + void + reset() + { + const unsigned int n_q_points = Nx.size(); + const unsigned int n_dofs_per_cell = Nx[0].size(); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + Assert(Nx[q_point].size() == n_dofs_per_cell, ExcInternalError()); + Assert(grad_Nx[q_point].size() == n_dofs_per_cell, + ExcInternalError()); + Assert(symm_grad_Nx[q_point].size() == n_dofs_per_cell, + ExcInternalError()); + for (unsigned int k = 0; k < n_dofs_per_cell; ++k) + { + Nx[q_point][k] = 0.0; + grad_Nx[q_point][k] = 0.0; + symm_grad_Nx[q_point][k] = 0.0; + } + } + } + }; + template + struct Solid::PerTaskData_RHS + { + Vector cell_rhs; + std::vector local_dof_indices; + PerTaskData_RHS(const unsigned int dofs_per_cell) + : cell_rhs(dofs_per_cell) + , local_dof_indices(dofs_per_cell) + {} + void + reset() + { + cell_rhs = 0.0; + } + }; + template + struct Solid::ScratchData_RHS + { + FEValues fe_values_ref; + FEFaceValues fe_face_values_ref; + std::vector> Nx; + std::vector>> symm_grad_Nx; + ScratchData_RHS(const FiniteElement &fe_cell, + const QGauss & qf_cell, + const UpdateFlags uf_cell, + const QGauss & qf_face, + const UpdateFlags uf_face) + : fe_values_ref(fe_cell, qf_cell, uf_cell) + , fe_face_values_ref(fe_cell, qf_face, uf_face) + , Nx(qf_cell.size(), std::vector(fe_cell.dofs_per_cell)) + , symm_grad_Nx(qf_cell.size(), + std::vector>( + fe_cell.dofs_per_cell)) + {} + ScratchData_RHS(const ScratchData_RHS &rhs) + : fe_values_ref(rhs.fe_values_ref.get_fe(), + rhs.fe_values_ref.get_quadrature(), + rhs.fe_values_ref.get_update_flags()) + , fe_face_values_ref(rhs.fe_face_values_ref.get_fe(), + rhs.fe_face_values_ref.get_quadrature(), + rhs.fe_face_values_ref.get_update_flags()) + , Nx(rhs.Nx) + , symm_grad_Nx(rhs.symm_grad_Nx) + {} + void + reset() + { + const unsigned int n_q_points = Nx.size(); + const unsigned int n_dofs_per_cell = Nx[0].size(); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + Assert(Nx[q_point].size() == n_dofs_per_cell, ExcInternalError()); + Assert(symm_grad_Nx[q_point].size() == n_dofs_per_cell, + ExcInternalError()); + for (unsigned int k = 0; k < n_dofs_per_cell; ++k) + { + Nx[q_point][k] = 0.0; + symm_grad_Nx[q_point][k] = 0.0; + } + } + } + }; + template + struct Solid::PerTaskData_SC + { + FullMatrix cell_matrix; + std::vector local_dof_indices; + FullMatrix k_orig; + FullMatrix k_pu; + FullMatrix k_pJ; + FullMatrix k_JJ; + FullMatrix k_pJ_inv; + FullMatrix k_bbar; + FullMatrix A; + FullMatrix B; + FullMatrix C; + PerTaskData_SC(const unsigned int dofs_per_cell, + const unsigned int n_u, + const unsigned int n_p, + const unsigned int n_J) + : cell_matrix(dofs_per_cell, dofs_per_cell) + , local_dof_indices(dofs_per_cell) + , k_orig(dofs_per_cell, dofs_per_cell) + , k_pu(n_p, n_u) + , k_pJ(n_p, n_J) + , k_JJ(n_J, n_J) + , k_pJ_inv(n_p, n_J) + , k_bbar(n_u, n_u) + , A(n_J, n_u) + , B(n_J, n_u) + , C(n_p, n_u) + {} + void + reset() + {} + }; + template + struct Solid::ScratchData_SC + { + void + reset() + {} + }; + template + struct Solid::PerTaskData_UQPH + { + void + reset() + {} + }; + template + struct Solid::ScratchData_UQPH + { + const BlockVector & solution_total; + std::vector> solution_grads_u_total; + std::vector solution_values_p_total; + std::vector solution_values_J_total; + FEValues fe_values_ref; + ScratchData_UQPH(const FiniteElement & fe_cell, + const QGauss & qf_cell, + const UpdateFlags uf_cell, + const BlockVector &solution_total) + : solution_total(solution_total) + , solution_grads_u_total(qf_cell.size()) + , solution_values_p_total(qf_cell.size()) + , solution_values_J_total(qf_cell.size()) + , fe_values_ref(fe_cell, qf_cell, uf_cell) + {} + ScratchData_UQPH(const ScratchData_UQPH &rhs) + : solution_total(rhs.solution_total) + , solution_grads_u_total(rhs.solution_grads_u_total) + , solution_values_p_total(rhs.solution_values_p_total) + , solution_values_J_total(rhs.solution_values_J_total) + , fe_values_ref(rhs.fe_values_ref.get_fe(), + rhs.fe_values_ref.get_quadrature(), + rhs.fe_values_ref.get_update_flags()) + {} + void + reset() + { + const unsigned int n_q_points = solution_grads_u_total.size(); + for (unsigned int q = 0; q < n_q_points; ++q) + { + solution_grads_u_total[q] = 0.0; + solution_values_p_total[q] = 0.0; + solution_values_J_total[q] = 0.0; + } + } + }; + template + void + Solid::make_grid() + { + GridGenerator::hyper_rectangle( + triangulation, + (dim == 3 ? Point(0.0, 0.0, 0.0) : Point(0.0, 0.0)), + (dim == 3 ? Point(1.0, 1.0, 1.0) : Point(1.0, 1.0)), + true); + GridTools::scale(parameters.scale, triangulation); + triangulation.refine_global(std::max(1U, parameters.global_refinement)); + vol_reference = GridTools::volume(triangulation); + std::cout << "Grid:\n\t Reference volume: " << vol_reference << std::endl; + typename Triangulation::active_cell_iterator cell = triangulation + .begin_active(), + endc = + triangulation.end(); + for (; cell != endc; ++cell) + for (unsigned int face = 0; face < GeometryInfo::faces_per_cell; + ++face) + { + if (cell->face(face)->at_boundary() == true && + cell->face(face)->center()[1] == 1.0 * parameters.scale) + { + if (dim == 3) + { + if (cell->face(face)->center()[0] < 0.5 * parameters.scale && + cell->face(face)->center()[2] < 0.5 * parameters.scale) + cell->face(face)->set_boundary_id(6); + } + else + { + if (cell->face(face)->center()[0] < 0.5 * parameters.scale) + cell->face(face)->set_boundary_id(6); + } + } + } + } + template + void + Solid::system_setup() + { + timer.enter_subsection("Setup system"); + std::vector block_component(n_components, + u_dof); // Displacement + block_component[p_component] = p_dof; // Pressure + block_component[J_component] = J_dof; // Dilatation + dof_handler_ref.distribute_dofs(fe); + DoFRenumbering::Cuthill_McKee(dof_handler_ref); + DoFRenumbering::component_wise(dof_handler_ref, block_component); + DoFTools::count_dofs_per_block(dof_handler_ref, + dofs_per_block, + block_component); + std::cout << "Triangulation:" + << "\n\t Number of active cells: " + << triangulation.n_active_cells() + << "\n\t Number of degrees of freedom: " + << dof_handler_ref.n_dofs() << std::endl; + tangent_matrix.clear(); + { + const types::global_dof_index n_dofs_u = dofs_per_block[u_dof]; + const types::global_dof_index n_dofs_p = dofs_per_block[p_dof]; + const types::global_dof_index n_dofs_J = dofs_per_block[J_dof]; + BlockDynamicSparsityPattern dsp(n_blocks, n_blocks); + dsp.block(u_dof, u_dof).reinit(n_dofs_u, n_dofs_u); + dsp.block(u_dof, p_dof).reinit(n_dofs_u, n_dofs_p); + dsp.block(u_dof, J_dof).reinit(n_dofs_u, n_dofs_J); + dsp.block(p_dof, u_dof).reinit(n_dofs_p, n_dofs_u); + dsp.block(p_dof, p_dof).reinit(n_dofs_p, n_dofs_p); + dsp.block(p_dof, J_dof).reinit(n_dofs_p, n_dofs_J); + dsp.block(J_dof, u_dof).reinit(n_dofs_J, n_dofs_u); + dsp.block(J_dof, p_dof).reinit(n_dofs_J, n_dofs_p); + dsp.block(J_dof, J_dof).reinit(n_dofs_J, n_dofs_J); + dsp.collect_sizes(); + Table<2, DoFTools::Coupling> coupling(n_components, n_components); + for (unsigned int ii = 0; ii < n_components; ++ii) + for (unsigned int jj = 0; jj < n_components; ++jj) + if (((ii < p_component) && (jj == J_component)) || + ((ii == J_component) && (jj < p_component)) || + ((ii == p_component) && (jj == p_component))) + coupling[ii][jj] = DoFTools::none; + else + coupling[ii][jj] = DoFTools::always; + DoFTools::make_sparsity_pattern( + dof_handler_ref, coupling, dsp, constraints, false); + sparsity_pattern.copy_from(dsp); + } + tangent_matrix.reinit(sparsity_pattern); + system_rhs.reinit(dofs_per_block); + system_rhs.collect_sizes(); + solution_n.reinit(dofs_per_block); + solution_n.collect_sizes(); + setup_qph(); + timer.leave_subsection(); + } + template + void + Solid::determine_component_extractors() + { + element_indices_u.clear(); + element_indices_p.clear(); + element_indices_J.clear(); + for (unsigned int k = 0; k < fe.dofs_per_cell; ++k) + { + const unsigned int k_group = fe.system_to_base_index(k).first.first; + if (k_group == u_dof) + element_indices_u.push_back(k); + else if (k_group == p_dof) + element_indices_p.push_back(k); + else if (k_group == J_dof) + element_indices_J.push_back(k); + else + { + Assert(k_group <= J_dof, ExcInternalError()); + } + } + } + template + void + Solid::setup_qph() + { + std::cout << " Setting up quadrature point data..." << std::endl; + quadrature_point_history.initialize(triangulation.begin_active(), + triangulation.end(), + n_q_points); + for (typename Triangulation::active_cell_iterator cell = + triangulation.begin_active(); + cell != triangulation.end(); + ++cell) + { + const std::vector>> lqph = + quadrature_point_history.get_data(cell); + Assert(lqph.size() == n_q_points, ExcInternalError()); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + lqph[q_point]->setup_lqp(parameters); + } + } + template + void + Solid::update_qph_incremental(const BlockVector &solution_delta) + { + timer.enter_subsection("Update QPH data"); + std::cout << " UQPH " << std::flush; + const BlockVector solution_total( + get_total_solution(solution_delta)); + const UpdateFlags uf_UQPH(update_values | update_gradients); + PerTaskData_UQPH per_task_data_UQPH; + ScratchData_UQPH scratch_data_UQPH(fe, qf_cell, uf_UQPH, solution_total); + // Run single threaded for simplicity + // WorkStream::run(dof_handler_ref.begin_active(), + // dof_handler_ref.end(), + // *this, + // &Solid::update_qph_incremental_one_cell, + // &Solid::copy_local_to_global_UQPH, + // scratch_data_UQPH, + // per_task_data_UQPH); + for (typename DoFHandler::active_cell_iterator cell = + dof_handler_ref.begin_active(); + cell != dof_handler_ref.end(); + ++cell) + { + update_qph_incremental_one_cell(cell, + scratch_data_UQPH, + per_task_data_UQPH); + copy_local_to_global_UQPH(per_task_data_UQPH); + } + timer.leave_subsection(); + } + template + void + Solid::update_qph_incremental_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_UQPH & scratch, + PerTaskData_UQPH & /*data*/) + { + const std::vector>> lqph = + quadrature_point_history.get_data(cell); + Assert(lqph.size() == n_q_points, ExcInternalError()); + Assert(scratch.solution_grads_u_total.size() == n_q_points, + ExcInternalError()); + Assert(scratch.solution_values_p_total.size() == n_q_points, + ExcInternalError()); + Assert(scratch.solution_values_J_total.size() == n_q_points, + ExcInternalError()); + scratch.reset(); + scratch.fe_values_ref.reinit(cell); + scratch.fe_values_ref[u_fe].get_function_gradients( + scratch.solution_total, scratch.solution_grads_u_total); + scratch.fe_values_ref[p_fe].get_function_values( + scratch.solution_total, scratch.solution_values_p_total); + scratch.fe_values_ref[J_fe].get_function_values( + scratch.solution_total, scratch.solution_values_J_total); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + lqph[q_point]->update_values(scratch.solution_grads_u_total[q_point], + scratch.solution_values_p_total[q_point], + scratch.solution_values_J_total[q_point]); + } + template + void + Solid::solve_nonlinear_timestep(BlockVector &solution_delta) + { + std::cout << std::endl + << "Timestep " << time.get_timestep() << " @ " << time.current() + << "s" << std::endl; + BlockVector newton_update(dofs_per_block); + error_residual.reset(); + error_residual_0.reset(); + error_residual_norm.reset(); + error_update.reset(); + error_update_0.reset(); + error_update_norm.reset(); + print_conv_header(); + unsigned int newton_iteration = 0; + for (; newton_iteration < parameters.max_iterations_NR; ++newton_iteration) + { + std::cout << " " << std::setw(2) << newton_iteration << " " + << std::flush; + tangent_matrix = 0.0; + system_rhs = 0.0; + assemble_system_rhs(); + get_error_residual(error_residual); + if (newton_iteration == 0) + error_residual_0 = error_residual; + error_residual_norm = error_residual; + error_residual_norm.normalise(error_residual_0); + if (newton_iteration > 0 && error_update_norm.u <= parameters.tol_u && + error_residual_norm.u <= parameters.tol_f) + { + std::cout << " CONVERGED! " << std::endl; + print_conv_footer(); + break; + } + assemble_system_tangent(); + make_constraints(newton_iteration); + constraints.condense(tangent_matrix, system_rhs); + const std::pair lin_solver_output = + solve_linear_system(newton_update); + get_error_update(newton_update, error_update); + if (newton_iteration == 0) + error_update_0 = error_update; + error_update_norm = error_update; + error_update_norm.normalise(error_update_0); + solution_delta += newton_update; + update_qph_incremental(solution_delta); + std::cout << " | " << std::fixed << std::setprecision(3) << std::setw(7) + << std::scientific << lin_solver_output.first << " " + << lin_solver_output.second << " " + << error_residual_norm.norm << " " << error_residual_norm.u + << " " << error_residual_norm.p << " " + << error_residual_norm.J << " " << error_update_norm.norm + << " " << error_update_norm.u << " " << error_update_norm.p + << " " << error_update_norm.J << " " << std::endl; + } + AssertThrow(newton_iteration <= parameters.max_iterations_NR, + ExcMessage("No convergence in nonlinear solver!")); + } + template + void + Solid::print_conv_header() + { + static const unsigned int l_width = 155; + for (unsigned int i = 0; i < l_width; ++i) + std::cout << "_"; + std::cout << std::endl; + std::cout << " SOLVER STEP " + << " | LIN_IT LIN_RES RES_NORM " + << " RES_U RES_P RES_J NU_NORM " + << " NU_U NU_P NU_J " << std::endl; + for (unsigned int i = 0; i < l_width; ++i) + std::cout << "_"; + std::cout << std::endl; + } + template + void + Solid::print_conv_footer() + { + static const unsigned int l_width = 155; + for (unsigned int i = 0; i < l_width; ++i) + std::cout << "_"; + std::cout << std::endl; + const std::pair error_dil = get_error_dilation(); + std::cout << "Relative errors:" << std::endl + << "Displacement:\t" << error_update.u / error_update_0.u + << std::endl + << "Force: \t\t" << error_residual.u / error_residual_0.u + << std::endl + << "Dilatation:\t" << error_dil.first << std::endl + << "v / V_0:\t" << error_dil.second * vol_reference << " / " + << vol_reference << " = " << error_dil.second << std::endl; + } + template + double + Solid::compute_vol_current() const + { + double vol_current = 0.0; + FEValues fe_values_ref(fe, qf_cell, update_JxW_values); + for (typename Triangulation::active_cell_iterator cell = + triangulation.begin_active(); + cell != triangulation.end(); + ++cell) + { + fe_values_ref.reinit(cell); + const std::vector>> lqph = + quadrature_point_history.get_data(cell); + Assert(lqph.size() == n_q_points, ExcInternalError()); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + const double det_F_qp = lqph[q_point]->get_det_F(); + const double JxW = fe_values_ref.JxW(q_point); + vol_current += det_F_qp * JxW; + } + } + Assert(vol_current > 0.0, ExcInternalError()); + return vol_current; + } + template + std::pair + Solid::get_error_dilation() const + { + double dil_L2_error = 0.0; + FEValues fe_values_ref(fe, qf_cell, update_JxW_values); + for (typename Triangulation::active_cell_iterator cell = + triangulation.begin_active(); + cell != triangulation.end(); + ++cell) + { + fe_values_ref.reinit(cell); + const std::vector>> lqph = + quadrature_point_history.get_data(cell); + Assert(lqph.size() == n_q_points, ExcInternalError()); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + const double det_F_qp = lqph[q_point]->get_det_F(); + const double J_tilde_qp = lqph[q_point]->get_J_tilde(); + const double the_error_qp_squared = + std::pow((det_F_qp - J_tilde_qp), 2); + const double JxW = fe_values_ref.JxW(q_point); + dil_L2_error += the_error_qp_squared * JxW; + } + } + return std::make_pair(std::sqrt(dil_L2_error), + compute_vol_current() / vol_reference); + } + template + void + Solid::get_error_residual(Errors &error_residual) + { + BlockVector error_res(dofs_per_block); + for (unsigned int i = 0; i < dof_handler_ref.n_dofs(); ++i) + if (!constraints.is_constrained(i)) + error_res(i) = system_rhs(i); + error_residual.norm = error_res.l2_norm(); + error_residual.u = error_res.block(u_dof).l2_norm(); + error_residual.p = error_res.block(p_dof).l2_norm(); + error_residual.J = error_res.block(J_dof).l2_norm(); + } + template + void + Solid::get_error_update(const BlockVector &newton_update, + Errors & error_update) + { + BlockVector error_ud(dofs_per_block); + for (unsigned int i = 0; i < dof_handler_ref.n_dofs(); ++i) + if (!constraints.is_constrained(i)) + error_ud(i) = newton_update(i); + error_update.norm = error_ud.l2_norm(); + error_update.u = error_ud.block(u_dof).l2_norm(); + error_update.p = error_ud.block(p_dof).l2_norm(); + error_update.J = error_ud.block(J_dof).l2_norm(); + } + template + BlockVector + Solid::get_total_solution( + const BlockVector &solution_delta) const + { + BlockVector solution_total(solution_n); + solution_total += solution_delta; + return solution_total; + } + template + void + Solid::assemble_system_tangent() + { + timer.enter_subsection("Assemble tangent matrix"); + std::cout << " ASM_K " << std::flush; + tangent_matrix = 0.0; + const UpdateFlags uf_cell(update_values | update_gradients | + update_JxW_values); + PerTaskData_K per_task_data(dofs_per_cell); + ScratchData_K scratch_data(fe, qf_cell, uf_cell); + WorkStream::run(dof_handler_ref.begin_active(), + dof_handler_ref.end(), + std::bind(&Solid::assemble_system_tangent_one_cell, + this, + std::placeholders::_1, + std::placeholders::_2, + std::placeholders::_3), + std::bind(&Solid::copy_local_to_global_K, + this, + std::placeholders::_1), + scratch_data, + per_task_data); + timer.leave_subsection(); + } + template + void + Solid::copy_local_to_global_K(const PerTaskData_K &data) + { + for (unsigned int i = 0; i < dofs_per_cell; ++i) + for (unsigned int j = 0; j < dofs_per_cell; ++j) + tangent_matrix.add(data.local_dof_indices[i], + data.local_dof_indices[j], + data.cell_matrix(i, j)); + } + template + void + Solid::assemble_system_tangent_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_K & scratch, + PerTaskData_K & data) const + { + data.reset(); + scratch.reset(); + scratch.fe_values_ref.reinit(cell); + cell->get_dof_indices(data.local_dof_indices); + const std::vector>> lqph = + quadrature_point_history.get_data(cell); + Assert(lqph.size() == n_q_points, ExcInternalError()); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + const Tensor<2, dim> F_inv = lqph[q_point]->get_F_inv(); + for (unsigned int k = 0; k < dofs_per_cell; ++k) + { + const unsigned int k_group = fe.system_to_base_index(k).first.first; + if (k_group == u_dof) + { + scratch.grad_Nx[q_point][k] = + scratch.fe_values_ref[u_fe].gradient(k, q_point) * F_inv; + scratch.symm_grad_Nx[q_point][k] = + symmetrize(scratch.grad_Nx[q_point][k]); + } + else if (k_group == p_dof) + scratch.Nx[q_point][k] = + scratch.fe_values_ref[p_fe].value(k, q_point); + else if (k_group == J_dof) + scratch.Nx[q_point][k] = + scratch.fe_values_ref[J_fe].value(k, q_point); + else + Assert(k_group <= J_dof, ExcInternalError()); + } + } + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + const Tensor<2, dim> tau = lqph[q_point]->get_tau(); + const SymmetricTensor<4, dim> Jc = lqph[q_point]->get_Jc(); + const double d2Psi_vol_dJ2 = lqph[q_point]->get_d2Psi_vol_dJ2(); + const double det_F = lqph[q_point]->get_det_F(); + const std::vector & N = scratch.Nx[q_point]; + const std::vector> &symm_grad_Nx = + scratch.symm_grad_Nx[q_point]; + const std::vector> &grad_Nx = scratch.grad_Nx[q_point]; + const double JxW = scratch.fe_values_ref.JxW(q_point); + for (unsigned int i = 0; i < dofs_per_cell; ++i) + { + const unsigned int component_i = + fe.system_to_component_index(i).first; + const unsigned int i_group = fe.system_to_base_index(i).first.first; + for (unsigned int j = 0; j <= i; ++j) + { + const unsigned int component_j = + fe.system_to_component_index(j).first; + const unsigned int j_group = + fe.system_to_base_index(j).first.first; + if ((i_group == j_group) && (i_group == u_dof)) + { + data.cell_matrix(i, j) += symm_grad_Nx[i] * + Jc // The material contribution: + * symm_grad_Nx[j] * JxW; + if (component_i == + component_j) // geometrical stress contribution + data.cell_matrix(i, j) += grad_Nx[i][component_i] * tau * + grad_Nx[j][component_j] * JxW; + } + else if ((i_group == p_dof) && (j_group == u_dof)) + { + data.cell_matrix(i, j) += + N[i] * det_F * + (symm_grad_Nx[j] * StandardTensors::I) * JxW; + } + else if ((i_group == J_dof) && (j_group == p_dof)) + data.cell_matrix(i, j) -= N[i] * N[j] * JxW; + else if ((i_group == j_group) && (i_group == J_dof)) + data.cell_matrix(i, j) += N[i] * d2Psi_vol_dJ2 * N[j] * JxW; + else + Assert((i_group <= J_dof) && (j_group <= J_dof), + ExcInternalError()); + } + } + } + for (unsigned int i = 0; i < dofs_per_cell; ++i) + for (unsigned int j = i + 1; j < dofs_per_cell; ++j) + data.cell_matrix(i, j) = data.cell_matrix(j, i); + } + template + void + Solid::assemble_system_rhs() + { + timer.enter_subsection("Assemble system right-hand side"); + std::cout << " ASM_R " << std::flush; + system_rhs = 0.0; + const UpdateFlags uf_cell(update_values | update_gradients | + update_JxW_values); + const UpdateFlags uf_face(update_values | update_normal_vectors | + update_JxW_values); + PerTaskData_RHS per_task_data(dofs_per_cell); + ScratchData_RHS scratch_data(fe, qf_cell, uf_cell, qf_face, uf_face); + WorkStream::run(dof_handler_ref.begin_active(), + dof_handler_ref.end(), + std::bind(&Solid::assemble_system_rhs_one_cell, + this, + std::placeholders::_1, + std::placeholders::_2, + std::placeholders::_3), + std::bind(&Solid::copy_local_to_global_rhs, + this, + std::placeholders::_1), + scratch_data, + per_task_data); + timer.leave_subsection(); + } + template + void + Solid::copy_local_to_global_rhs(const PerTaskData_RHS &data) + { + for (unsigned int i = 0; i < dofs_per_cell; ++i) + system_rhs(data.local_dof_indices[i]) += data.cell_rhs(i); + } + template + void + Solid::assemble_system_rhs_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_RHS & scratch, + PerTaskData_RHS & data) const + { + data.reset(); + scratch.reset(); + scratch.fe_values_ref.reinit(cell); + cell->get_dof_indices(data.local_dof_indices); + const std::vector>> lqph = + quadrature_point_history.get_data(cell); + Assert(lqph.size() == n_q_points, ExcInternalError()); + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + const Tensor<2, dim> F_inv = lqph[q_point]->get_F_inv(); + for (unsigned int k = 0; k < dofs_per_cell; ++k) + { + const unsigned int k_group = fe.system_to_base_index(k).first.first; + if (k_group == u_dof) + scratch.symm_grad_Nx[q_point][k] = symmetrize( + scratch.fe_values_ref[u_fe].gradient(k, q_point) * F_inv); + else if (k_group == p_dof) + scratch.Nx[q_point][k] = + scratch.fe_values_ref[p_fe].value(k, q_point); + else if (k_group == J_dof) + scratch.Nx[q_point][k] = + scratch.fe_values_ref[J_fe].value(k, q_point); + else + Assert(k_group <= J_dof, ExcInternalError()); + } + } + for (unsigned int q_point = 0; q_point < n_q_points; ++q_point) + { + const SymmetricTensor<2, dim> tau = lqph[q_point]->get_tau(); + const double det_F = lqph[q_point]->get_det_F(); + const double J_tilde = lqph[q_point]->get_J_tilde(); + const double p_tilde = lqph[q_point]->get_p_tilde(); + const double dPsi_vol_dJ = lqph[q_point]->get_dPsi_vol_dJ(); + const std::vector & N = scratch.Nx[q_point]; + const std::vector> &symm_grad_Nx = + scratch.symm_grad_Nx[q_point]; + const double JxW = scratch.fe_values_ref.JxW(q_point); + for (unsigned int i = 0; i < dofs_per_cell; ++i) + { + const unsigned int i_group = fe.system_to_base_index(i).first.first; + if (i_group == u_dof) + data.cell_rhs(i) -= (symm_grad_Nx[i] * tau) * JxW; + else if (i_group == p_dof) + data.cell_rhs(i) -= N[i] * (det_F - J_tilde) * JxW; + else if (i_group == J_dof) + data.cell_rhs(i) -= N[i] * (dPsi_vol_dJ - p_tilde) * JxW; + else + Assert(i_group <= J_dof, ExcInternalError()); + } + } + for (unsigned int face = 0; face < GeometryInfo::faces_per_cell; + ++face) + if (cell->face(face)->at_boundary() == true && + cell->face(face)->boundary_id() == 6) + { + scratch.fe_face_values_ref.reinit(cell, face); + for (unsigned int f_q_point = 0; f_q_point < n_q_points_f; + ++f_q_point) + { + const Tensor<1, dim> &N = + scratch.fe_face_values_ref.normal_vector(f_q_point); + static const double p0 = + -4.0 / (parameters.scale * parameters.scale); + const double time_ramp = (time.current() / time.end()); + const double pressure = p0 * parameters.p_p0 * time_ramp; + const Tensor<1, dim> traction = pressure * N; + for (unsigned int i = 0; i < dofs_per_cell; ++i) + { + const unsigned int i_group = + fe.system_to_base_index(i).first.first; + if (i_group == u_dof) + { + const unsigned int component_i = + fe.system_to_component_index(i).first; + const double Ni = + scratch.fe_face_values_ref.shape_value(i, f_q_point); + const double JxW = + scratch.fe_face_values_ref.JxW(f_q_point); + data.cell_rhs(i) += (Ni * traction[component_i]) * JxW; + } + } + } + } + } + template + void + Solid::make_constraints(const int &it_nr) + { + std::cout << " CST " << std::flush; + if (it_nr > 1) + return; + constraints.clear(); + const bool apply_dirichlet_bc = (it_nr == 0); + const FEValuesExtractors::Scalar x_displacement(0); + const FEValuesExtractors::Scalar y_displacement(1); + { + const int boundary_id = 0; + if (apply_dirichlet_bc == true) + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + fe.component_mask(x_displacement)); + else + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + fe.component_mask(x_displacement)); + } + { + const int boundary_id = 2; + if (apply_dirichlet_bc == true) + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + fe.component_mask(y_displacement)); + else + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + fe.component_mask(y_displacement)); + } + if (dim == 3) + { + const FEValuesExtractors::Scalar z_displacement(2); + { + const int boundary_id = 3; + if (apply_dirichlet_bc == true) + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement) | + fe.component_mask(z_displacement))); + else + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement) | + fe.component_mask(z_displacement))); + } + { + const int boundary_id = 4; + if (apply_dirichlet_bc == true) + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + fe.component_mask(z_displacement)); + else + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + fe.component_mask(z_displacement)); + } + { + const int boundary_id = 6; + if (apply_dirichlet_bc == true) + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement) | + fe.component_mask(z_displacement))); + else + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement) | + fe.component_mask(z_displacement))); + } + } + else + { + { + const int boundary_id = 3; + if (apply_dirichlet_bc == true) + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement))); + else + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement))); + } + { + const int boundary_id = 6; + if (apply_dirichlet_bc == true) + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement))); + else + VectorTools::interpolate_boundary_values( + dof_handler_ref, + boundary_id, + ZeroFunction(n_components), + constraints, + (fe.component_mask(x_displacement))); + } + } + constraints.close(); + } + template + void + Solid::assemble_sc() + { + timer.enter_subsection("Perform static condensation"); + std::cout << " ASM_SC " << std::flush; + PerTaskData_SC per_task_data(dofs_per_cell, + element_indices_u.size(), + element_indices_p.size(), + element_indices_J.size()); + ScratchData_SC scratch_data; + WorkStream::run(dof_handler_ref.begin_active(), + dof_handler_ref.end(), + *this, + &Solid::assemble_sc_one_cell, + &Solid::copy_local_to_global_sc, + scratch_data, + per_task_data); + timer.leave_subsection(); + } + template + void + Solid::copy_local_to_global_sc(const PerTaskData_SC &data) + { + for (unsigned int i = 0; i < dofs_per_cell; ++i) + for (unsigned int j = 0; j < dofs_per_cell; ++j) + tangent_matrix.add(data.local_dof_indices[i], + data.local_dof_indices[j], + data.cell_matrix(i, j)); + } + template + void + Solid::assemble_sc_one_cell( + const typename DoFHandler::active_cell_iterator &cell, + ScratchData_SC & scratch, + PerTaskData_SC & data) + { + data.reset(); + scratch.reset(); + cell->get_dof_indices(data.local_dof_indices); + data.k_orig.extract_submatrix_from(tangent_matrix, + data.local_dof_indices, + data.local_dof_indices); + data.k_pu.extract_submatrix_from(data.k_orig, + element_indices_p, + element_indices_u); + data.k_pJ.extract_submatrix_from(data.k_orig, + element_indices_p, + element_indices_J); + data.k_JJ.extract_submatrix_from(data.k_orig, + element_indices_J, + element_indices_J); + data.k_pJ_inv.invert(data.k_pJ); + data.k_pJ_inv.mmult(data.A, data.k_pu); + data.k_JJ.mmult(data.B, data.A); + data.k_pJ_inv.Tmmult(data.C, data.B); + data.k_pu.Tmmult(data.k_bbar, data.C); + data.k_bbar.scatter_matrix_to(element_indices_u, + element_indices_u, + data.cell_matrix); + data.k_pJ_inv.add(-1.0, data.k_pJ); + data.k_pJ_inv.scatter_matrix_to(element_indices_p, + element_indices_J, + data.cell_matrix); + } + template + std::pair + Solid::solve_linear_system(BlockVector &newton_update) + + { + unsigned int lin_it = 0; + double lin_res = 0.0; + if (parameters.use_static_condensation == true) + { + BlockVector A(dofs_per_block); + BlockVector B(dofs_per_block); + { + assemble_sc(); + tangent_matrix.block(p_dof, J_dof) + .vmult(A.block(J_dof), system_rhs.block(p_dof)); + tangent_matrix.block(J_dof, J_dof) + .vmult(B.block(J_dof), A.block(J_dof)); + A.block(J_dof) = system_rhs.block(J_dof); + A.block(J_dof) -= B.block(J_dof); + tangent_matrix.block(p_dof, J_dof) + .Tvmult(A.block(p_dof), A.block(J_dof)); + tangent_matrix.block(u_dof, p_dof) + .vmult(A.block(u_dof), A.block(p_dof)); + system_rhs.block(u_dof) -= A.block(u_dof); + timer.enter_subsection("Linear solver"); + std::cout << " SLV " << std::flush; + if (parameters.type_lin == "CG") + { + const auto solver_its = static_cast( + tangent_matrix.block(u_dof, u_dof).m() * + parameters.max_iterations_lin); + const double tol_sol = + parameters.tol_lin * system_rhs.block(u_dof).l2_norm(); + SolverControl solver_control(solver_its, tol_sol, false, false); + GrowingVectorMemory> GVM; + SolverCG> solver_CG(solver_control, GVM); + PreconditionSelector, Vector> + preconditioner(parameters.preconditioner_type, + parameters.preconditioner_relaxation); + preconditioner.use_matrix(tangent_matrix.block(u_dof, u_dof)); + solver_CG.solve(tangent_matrix.block(u_dof, u_dof), + newton_update.block(u_dof), + system_rhs.block(u_dof), + preconditioner); + lin_it = solver_control.last_step(); + lin_res = solver_control.last_value(); + } + else if (parameters.type_lin == "Direct") + { + SparseDirectUMFPACK A_direct; + A_direct.initialize(tangent_matrix.block(u_dof, u_dof)); + A_direct.vmult(newton_update.block(u_dof), + system_rhs.block(u_dof)); + lin_it = 1; + lin_res = 0.0; + } + else + Assert(false, ExcMessage("Linear solver type not implemented")); + timer.leave_subsection(); + } + constraints.distribute(newton_update); + timer.enter_subsection("Linear solver postprocessing"); + std::cout << " PP " << std::flush; + { + tangent_matrix.block(p_dof, u_dof) + .vmult(A.block(p_dof), newton_update.block(u_dof)); + A.block(p_dof) *= -1.0; + A.block(p_dof) += system_rhs.block(p_dof); + tangent_matrix.block(p_dof, J_dof) + .vmult(newton_update.block(J_dof), A.block(p_dof)); + } + constraints.distribute(newton_update); + { + tangent_matrix.block(J_dof, J_dof) + .vmult(A.block(J_dof), newton_update.block(J_dof)); + A.block(J_dof) *= -1.0; + A.block(J_dof) += system_rhs.block(J_dof); + tangent_matrix.block(p_dof, J_dof) + .Tvmult(newton_update.block(p_dof), A.block(J_dof)); + } + constraints.distribute(newton_update); + timer.leave_subsection(); + } + else + { + std::cout << " ------ " << std::flush; + timer.enter_subsection("Linear solver"); + std::cout << " SLV " << std::flush; + if (parameters.type_lin == "CG") + { + const Vector &f_u = system_rhs.block(u_dof); + const Vector &f_p = system_rhs.block(p_dof); + const Vector &f_J = system_rhs.block(J_dof); + Vector & d_u = newton_update.block(u_dof); + Vector & d_p = newton_update.block(p_dof); + Vector & d_J = newton_update.block(J_dof); + const auto K_uu = + linear_operator(tangent_matrix.block(u_dof, u_dof)); + const auto K_up = + linear_operator(tangent_matrix.block(u_dof, p_dof)); + const auto K_pu = + linear_operator(tangent_matrix.block(p_dof, u_dof)); + const auto K_Jp = + linear_operator(tangent_matrix.block(J_dof, p_dof)); + const auto K_JJ = + linear_operator(tangent_matrix.block(J_dof, J_dof)); + PreconditionSelector, Vector> + preconditioner_K_Jp_inv("jacobi"); + preconditioner_K_Jp_inv.use_matrix( + tangent_matrix.block(J_dof, p_dof)); + ReductionControl solver_control_K_Jp_inv( + static_cast(tangent_matrix.block(J_dof, p_dof).m() * + parameters.max_iterations_lin), + 1.0e-30, + parameters.tol_lin); + SolverSelector> solver_K_Jp_inv; + solver_K_Jp_inv.select("cg"); + solver_K_Jp_inv.set_control(solver_control_K_Jp_inv); + const auto K_Jp_inv = + inverse_operator(K_Jp, solver_K_Jp_inv, preconditioner_K_Jp_inv); + const auto K_pJ_inv = transpose_operator(K_Jp_inv); + const auto K_pp_bar = K_Jp_inv * K_JJ * K_pJ_inv; + const auto K_uu_bar_bar = K_up * K_pp_bar * K_pu; + const auto K_uu_con = K_uu + K_uu_bar_bar; + PreconditionSelector, Vector> + preconditioner_K_con_inv(parameters.preconditioner_type, + parameters.preconditioner_relaxation); + preconditioner_K_con_inv.use_matrix( + tangent_matrix.block(u_dof, u_dof)); + ReductionControl solver_control_K_con_inv( + static_cast(tangent_matrix.block(u_dof, u_dof).m() * + parameters.max_iterations_lin), + 1.0e-30, + parameters.tol_lin); + SolverSelector> solver_K_con_inv; + solver_K_con_inv.select("cg"); + solver_K_con_inv.set_control(solver_control_K_con_inv); + const auto K_uu_con_inv = + inverse_operator(K_uu_con, + solver_K_con_inv, + preconditioner_K_con_inv); + d_u = + K_uu_con_inv * (f_u - K_up * (K_Jp_inv * f_J - K_pp_bar * f_p)); + timer.leave_subsection(); + timer.enter_subsection("Linear solver postprocessing"); + std::cout << " PP " << std::flush; + d_J = K_pJ_inv * (f_p - K_pu * d_u); + d_p = K_Jp_inv * (f_J - K_JJ * d_J); + lin_it = solver_control_K_con_inv.last_step(); + lin_res = solver_control_K_con_inv.last_value(); + } + else if (parameters.type_lin == "Direct") + { + SparseDirectUMFPACK A_direct; + A_direct.initialize(tangent_matrix); + A_direct.vmult(newton_update, system_rhs); + lin_it = 1; + lin_res = 0.0; + std::cout << " -- " << std::flush; + } + else + Assert(false, ExcMessage("Linear solver type not implemented")); + timer.leave_subsection(); + constraints.distribute(newton_update); + } + return std::make_pair(lin_it, lin_res); + } + template + void + Solid::output_results() const + { + DataOut data_out; + std::vector + data_component_interpretation( + dim, DataComponentInterpretation::component_is_part_of_vector); + data_component_interpretation.push_back( + DataComponentInterpretation::component_is_scalar); + data_component_interpretation.push_back( + DataComponentInterpretation::component_is_scalar); + std::vector solution_name(dim, "displacement"); + solution_name.push_back("pressure"); + solution_name.push_back("dilatation"); + data_out.attach_dof_handler(dof_handler_ref); + data_out.add_data_vector(solution_n, + solution_name, + DataOut::type_dof_data, + data_component_interpretation); + Vector soln(solution_n.size()); + for (unsigned int i = 0; i < soln.size(); ++i) + soln(i) = solution_n(i); + MappingQEulerian q_mapping(degree, dof_handler_ref, soln); + data_out.build_patches(q_mapping, degree); + std::ostringstream filename; + filename << "solution-" << dim << "d-" << time.get_timestep() << ".vtk"; + std::ofstream output(filename.str().c_str()); + data_out.write_vtk(output); + } +} // namespace Step44 diff --git a/tests/symengine/step-44-sd-quadrature_level_01.cc b/tests/symengine/step-44-sd-quadrature_level_01.cc new file mode 100644 index 0000000000..05f383249e --- /dev/null +++ b/tests/symengine/step-44-sd-quadrature_level_01.cc @@ -0,0 +1,339 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + +// This is a modified version of step-44, which tests the implementation of +// QP-level symbolic-differentiation. +// The differentiation is performed inline with the update step. +// Compared to the run-time for step-44-sd-quadrature_level-[02,03].cc this +// serves only to gauge how quick/slow symbolic tensor differentiation is. + +#include "../tests.h" + +#include "sd_common_tests/step-44-sd-quadrature_level.h" + +namespace Step44 +{ + using namespace dealii; + namespace SD = Differentiation::SD; + + template + class PointHistory + { + public: + PointHistory() + : F_inv(StandardTensors::I) + , tau(SymmetricTensor<2, dim>()) + , d2Psi_vol_dJ2(0.0) + , dPsi_vol_dJ(0.0) + , Jc(SymmetricTensor<4, dim>()) + {} + virtual ~PointHistory() + {} + void + setup_lqp(const Parameters::AllParameters ¶meters) + { + material.reset( + new Material_Compressible_Neo_Hook_Three_Field(parameters.mu, + parameters.nu)); + update_values(Tensor<2, dim>(), 0.0, 1.0); + } + void + update_values(const Tensor<2, dim> &Grad_u_n, + const double p_tilde, + const double J_tilde) + { + const Tensor<2, dim> F = + (Tensor<2, dim>(StandardTensors::I) + Grad_u_n); + material->update_material_data(F, p_tilde, J_tilde); + F_inv = invert(F); + + namespace SD = Differentiation::SD; + using SDNumberType = SD::Expression; + const bool debug = false; + + // NOTE: We could actually perform all of the symbolic computations ONCE + // up front and then reuse them as necessary. It is out of sheer laziness + // that I'm not doing this here. Doing this might lead to a good + // performance gain since we don't have to do the symbolic tensor + // differentiation many times, but rather only once. The alternate + // approach is adopted in step-44-sd_02.cc + + // Define some symbols + const SymmetricTensor<2, dim, SDNumberType> C_SD( + SD::make_symmetric_tensor_of_symbols<2, dim>("C")); + const SDNumberType p_tilde_SD("p"); + const SDNumberType J_tilde_SD( + SD::make_symbol("J")); // Check an unnecessary complication + + // Build the symbol substitution map + // NOTE: I would typically leave this to the end (after symbol + // calculations have been performed) but since it has to be used twice for + // this problem so I do it up front + const SymmetricTensor<2, dim> C = symmetrize(transpose(F) * F); + SD::types::substitution_map sub_vals_unresolved; + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(C_SD, C)); + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(p_tilde_SD, + p_tilde)); + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(J_tilde_SD, + J_tilde)); + // NOTE: The recursive substitution is not really required in this case, + // but good to use in practise in case a more complex energy function is + // employed later + const SD::types::substitution_map sub_vals = + SD::resolve_explicit_dependencies(sub_vals_unresolved); + + if (debug) + { + SD::Utilities::print_substitution_map(std::cout, sub_vals); + } + + // Step 1: Update stress and material tangent + { + // 1a: Perform some symbolic calculations + // Compute additional kinematic quantities + // const SDNumberType det_F_SD = sqrt(determinant(C_SD)); + // const SymmetricTensor<2,dim,SDNumberType> C_bar_SD (pow(det_F_SD, + // -2.0/dim) * C_SD); + const SDNumberType det_C_SD = determinant(C_SD); + const SymmetricTensor<2, dim, SDNumberType> C_bar_SD( + pow(det_C_SD, -1.0 / dim) * C_SD); + // Compute energy + const SDNumberType det_F_SD = sqrt(det_C_SD); + const SDNumberType symbolic_psi = material->get_Psi_iso(C_bar_SD) + + p_tilde_SD * (det_F_SD - J_tilde_SD); + // Compute partial derivatives of energy function + const SymmetricTensor<2, dim, SDNumberType> symbolic_S = + 2.0 * SD::differentiate(symbolic_psi, C_SD); // S = 2*dpsi_dC + const SymmetricTensor<4, dim, SDNumberType> symbolic_H = + 2.0 * + SD::differentiate(symbolic_S, C_SD); // H = 2*dS_dC = 4*d2psi_dC_dC + + if (debug) + { + std::cout << "symbolic_S: " << symbolic_S << std::endl; + std::cout << "symbolic_H: " << symbolic_H << std::endl; + } + + // 1b: Perform substitution of symbols + const SymmetricTensor<2, dim, SDNumberType> substitution_S = + SD::substitute(symbolic_S, sub_vals); + const SymmetricTensor<4, dim, SDNumberType> substitution_H = + SD::substitute(symbolic_H, sub_vals); + + if (debug) + { + std::cout << "substitution_S: " << substitution_S << std::endl; + std::cout << "substitution_H: " << substitution_H << std::endl; + } + + // Compute real-valued deal.II tensors + const SymmetricTensor<2, dim> S = + static_cast>(substitution_S); + const SymmetricTensor<4, dim> H = + static_cast>(substitution_H); + + // Push-forward + tau = Physics::Transformations::Contravariant::push_forward(S, F); + Jc = Physics::Transformations::Contravariant::push_forward(H, F); + } + + // Step 2: Update volumetric penalty terms + { + // 1a: Perform some symbolic calculations + // Compute energy + const SDNumberType symbolic_psi_vol = material->get_Psi_vol(J_tilde_SD); + // Compute partial derivatives of energy function + const SDNumberType symbolic_dPsi_vol_dJ = + SD::differentiate(symbolic_psi_vol, J_tilde_SD); + const SDNumberType symbolic_d2Psi_vol_dJ2 = + SD::differentiate(symbolic_dPsi_vol_dJ, J_tilde_SD); + + if (debug) + { + std::cout << "symbolic_dPsi_vol_dJ: " << symbolic_dPsi_vol_dJ + << std::endl; + std::cout << "symbolic_d2Psi_vol_dJ2: " << symbolic_d2Psi_vol_dJ2 + << std::endl; + } + + // 1b: Perform substitution of symbols + const SDNumberType substitution_dPsi_vol_dJ = + SD::substitute(symbolic_dPsi_vol_dJ, sub_vals); + const SDNumberType substitution_d2Psi_vol_dJ2 = + SD::substitute(symbolic_d2Psi_vol_dJ2, sub_vals); + + if (debug) + { + std::cout << "substitution_dPsi_vol_dJ: " + << substitution_dPsi_vol_dJ << std::endl; + std::cout << "substitution_d2Psi_vol_dJ2: " + << substitution_d2Psi_vol_dJ2 << std::endl; + } + + // Compute real values + dPsi_vol_dJ = static_cast(substitution_dPsi_vol_dJ); + d2Psi_vol_dJ2 = static_cast(substitution_d2Psi_vol_dJ2); + } + + if (debug) + { + std::cout << "dPsi_vol_dJ: " << dPsi_vol_dJ + << std::endl; + std::cout << "material->get_dPsi_vol_dJ(): " + << material->get_dPsi_vol_dJ() << std::endl; + std::cout << "d2Psi_vol_dJ2: " << d2Psi_vol_dJ2 + << std::endl; + std::cout << "material->get_d2Psi_vol_dJ2(): " + << material->get_d2Psi_vol_dJ2() << std::endl; + + std::cout << "tau: " << tau << std::endl; + std::cout << "material->get_tau(): " << material->get_tau() + << std::endl; + std::cout << "Jc: " << Jc << std::endl; + std::cout << "material->get_Jc(): " << material->get_Jc() + << std::endl; + } + + { + static const double tol = + 1e-6; // Minor computation error due to order of operations + + // Zero strain --> zero stress + if (std::abs(determinant(F) - 1.0) > 1e-9) + { + const SymmetricTensor<2, dim> tau_ref = material->get_tau(); + const SymmetricTensor<4, dim> Jc_ref = material->get_Jc(); + + Assert((tau - tau_ref).norm() / tau_ref.norm() < tol, + ExcMessage("SD computed stress is incorrect.")); + Assert((Jc - Jc_ref).norm() / Jc_ref.norm() < tol, + ExcMessage("SD computed tangent is incorrect.")); + Assert(std::abs((dPsi_vol_dJ - material->get_dPsi_vol_dJ()) / + material->get_dPsi_vol_dJ()) < tol, + ExcMessage("SD computed dPsi_vol_dJ is incorrect.")); + Assert(std::abs((d2Psi_vol_dJ2 - material->get_d2Psi_vol_dJ2()) / + material->get_d2Psi_vol_dJ2()) < tol, + ExcMessage("SD computed d2Psi_vol_dJ2 is incorrect.")); + } + else + { + Assert((tau - material->get_tau()).norm() < tol, + ExcMessage("SD computed stress is incorrect.")); + Assert((Jc - material->get_Jc()).norm() < tol, + ExcMessage("SD computed tangent is incorrect.")); + Assert(std::abs(dPsi_vol_dJ - material->get_dPsi_vol_dJ()) < tol, + ExcMessage("SD computed dPsi_vol_dJ is incorrect.")); + Assert(std::abs(d2Psi_vol_dJ2 - material->get_d2Psi_vol_dJ2()) < + tol, + ExcMessage("SD computed d2Psi_vol_dJ2 is incorrect.")); + } + } + } + double + get_J_tilde() const + { + return material->get_J_tilde(); + } + double + get_det_F() const + { + return material->get_det_F(); + } + const Tensor<2, dim> & + get_F_inv() const + { + return F_inv; + } + double + get_p_tilde() const + { + return material->get_p_tilde(); + } + const SymmetricTensor<2, dim> & + get_tau() const + { + return tau; + } + double + get_dPsi_vol_dJ() const + { + return dPsi_vol_dJ; + } + double + get_d2Psi_vol_dJ2() const + { + return d2Psi_vol_dJ2; + } + const SymmetricTensor<4, dim> & + get_Jc() const + { + return Jc; + } + + private: + std::shared_ptr> material; + Tensor<2, dim> F_inv; + SymmetricTensor<2, dim> tau; + double d2Psi_vol_dJ2; + double dPsi_vol_dJ; + SymmetricTensor<4, dim> Jc; + }; +} // namespace Step44 +int +main(int argc, char **argv) +{ + initlog(); + + Utilities::MPI::MPI_InitFinalize mpi_initialization( + argc, argv, testing_max_num_threads()); + + using namespace dealii; + using namespace Step44; + try + { + const unsigned int dim = 3; + Solid solid(SOURCE_DIR "/prm/parameters-step-44.prm"); + solid.run(); + } + catch (std::exception &exc) + { + std::cerr << std::endl + << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl + << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + return 0; +} diff --git a/tests/symengine/step-44-sd-quadrature_level_01.output b/tests/symengine/step-44-sd-quadrature_level_01.output new file mode 100644 index 0000000000..9f2261a1cb --- /dev/null +++ b/tests/symengine/step-44-sd-quadrature_level_01.output @@ -0,0 +1,11 @@ + +DEAL::Timestep 1: 0.00 -0.000129 0.00 +DEAL::Timestep 2: 0.00 -0.000256 0.00 +DEAL::Timestep 3: 0.00 -0.000376 0.00 +DEAL::Timestep 4: 0.00 -0.000485 0.00 +DEAL::Timestep 5: 0.00 -0.000580 0.00 +DEAL::Timestep 6: 0.00 -0.000660 0.00 +DEAL::Timestep 7: 0.00 -0.000727 0.00 +DEAL::Timestep 8: 0.00 -0.000783 0.00 +DEAL::Timestep 9: 0.00 -0.000828 0.00 +DEAL::Timestep 10: 0.00 -0.000866 0.00 diff --git a/tests/symengine/step-44-sd-quadrature_level_02.cc b/tests/symengine/step-44-sd-quadrature_level_02.cc new file mode 100644 index 0000000000..c2ecc20579 --- /dev/null +++ b/tests/symengine/step-44-sd-quadrature_level_02.cc @@ -0,0 +1,356 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + +// This is a modified version of step-44, which tests the implementation of +// QP-level symbolic-differentiation. +// The differentiation is performed update front when the material class is +// created, and values are substituted in when known/necessary. +// Compared to the run-time for step-44-sd-quadrature_level-[01,03].cc this +// serves only to gauge how quick/slow symbolic tensor differentiation is. + +#include "../tests.h" + +#include "sd_common_tests/step-44-sd-quadrature_level.h" + +namespace Step44 +{ + using namespace dealii; + namespace SD = Differentiation::SD; + + template + class PointHistory + { + using SDNumberType = SD::Expression; + const bool debug; + + public: + PointHistory() + : debug(false) + , F_inv(StandardTensors::I) + , C_SD(SD::make_symmetric_tensor_of_symbols<2, dim>("C")) + , p_tilde_SD("p") + , J_tilde_SD("J") + , tau(SymmetricTensor<2, dim>()) + , d2Psi_vol_dJ2(0.0) + , dPsi_vol_dJ(0.0) + , Jc(SymmetricTensor<4, dim>()) + {} + virtual ~PointHistory() + {} + void + setup_symbol_differentiation() + { + Assert(material.use_count() != 0, ExcMessage("Material not initialised")); + + // Step 0: Define some symbols (done in the PointHistory constructor) + // Step 1: Update stress and material tangent + { + // 1a: Perform some symbolic calculations + // Compute additional kinematic quantities + // const SDNumberType det_F_SD = sqrt(determinant(C_SD)); + // const SymmetricTensor<2,dim,SDNumberType> C_bar_SD (pow(det_F_SD, + // -2.0/dim) * C_SD); + const SDNumberType det_C_SD = determinant(C_SD); + const SymmetricTensor<2, dim, SDNumberType> C_bar_SD( + pow(det_C_SD, -1.0 / dim) * C_SD); + // Compute energy + const SDNumberType det_F_SD = sqrt(det_C_SD); + const SDNumberType symbolic_psi = material->get_Psi_iso(C_bar_SD) + + p_tilde_SD * (det_F_SD - J_tilde_SD); + // Compute partial derivatives of energy function + symbolic_S = + 2.0 * SD::differentiate(symbolic_psi, C_SD); // S = 2*dpsi_dC + symbolic_H = + 2.0 * + SD::differentiate(symbolic_S, C_SD); // H = 2*dS_dC = 4*d2psi_dC_dC + + if (debug) + { + std::cout << "symbolic_psi: " << symbolic_psi << std::endl; + // std::cout << "symbolic_S: " << symbolic_S << std::endl; + // std::cout << "symbolic_H: " << symbolic_H << std::endl; + for (unsigned int i = 0; i < symbolic_S.n_independent_components; + ++i) + std::cout << "symbolic_S [" << i + << "]: " << symbolic_S.access_raw_entry(i) << std::endl; + } + } + + // Step 2: Update volumetric penalty terms + { + // 1a: Perform some symbolic calculations + // Compute energy + const SDNumberType symbolic_psi_vol = material->get_Psi_vol(J_tilde_SD); + // Compute partial derivatives of energy function + symbolic_dPsi_vol_dJ = SD::differentiate(symbolic_psi_vol, J_tilde_SD); + symbolic_d2Psi_vol_dJ2 = + SD::differentiate(symbolic_dPsi_vol_dJ, J_tilde_SD); + + if (debug) + { + std::cout << "symbolic_dPsi_vol_dJ: " << symbolic_dPsi_vol_dJ + << std::endl; + // std::cout << "symbolic_d2Psi_vol_dJ2: " << symbolic_d2Psi_vol_dJ2 + // << std::endl; + throw; + } + } + } + void + setup_lqp(const Parameters::AllParameters ¶meters) + { + material.reset( + new Material_Compressible_Neo_Hook_Three_Field(parameters.mu, + parameters.nu)); + setup_symbol_differentiation(); + update_values(Tensor<2, dim>(), 0.0, 1.0); + } + void + update_values(const Tensor<2, dim> &Grad_u_n, + const double p_tilde, + const double J_tilde) + { + const Tensor<2, dim> F = + (Tensor<2, dim>(StandardTensors::I) + Grad_u_n); + material->update_material_data(F, p_tilde, J_tilde); + F_inv = invert(F); + + // NOTE: In this instance we perform all of the symbolic computations ONCE + // up front and then reuse them as necessary. + + // Build the symbol substitution map + const SymmetricTensor<2, dim> C = symmetrize(transpose(F) * F); + SD::types::substitution_map sub_vals_unresolved; + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(C_SD, C)); + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(p_tilde_SD, + p_tilde)); + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(J_tilde_SD, + J_tilde)); + // NOTE: The recursive substitution is not really required in this case, + // but good to use in practise in case a more complex energy function is + // employed later + const SD::types::substitution_map sub_vals = + SD::resolve_explicit_dependencies(sub_vals_unresolved); + + if (debug) + { + SD::Utilities::print_substitution_map(std::cout, sub_vals); + } + + // Step 1: Update stress and material tangent + { + // 1b: Perform substitution of symbols + const SymmetricTensor<2, dim, SDNumberType> substitution_S = + SD::substitute(symbolic_S, sub_vals); + const SymmetricTensor<4, dim, SDNumberType> substitution_H = + SD::substitute(symbolic_H, sub_vals); + + if (debug) + { + std::cout << "substitution_S: " << substitution_S << std::endl; + std::cout << "substitution_H: " << substitution_H << std::endl; + } + + // Compute real-valued deal.II tensors + const SymmetricTensor<2, dim> S = + static_cast>(substitution_S); + const SymmetricTensor<4, dim> H = + static_cast>(substitution_H); + + // Push-forward + tau = Physics::Transformations::Contravariant::push_forward(S, F); + Jc = Physics::Transformations::Contravariant::push_forward(H, F); + } + + // Step 2: Update volumetric penalty terms + { + // 1b: Perform substitution of symbols + const SDNumberType substitution_dPsi_vol_dJ = + SD::substitute(symbolic_dPsi_vol_dJ, sub_vals); + const SDNumberType substitution_d2Psi_vol_dJ2 = + SD::substitute(symbolic_d2Psi_vol_dJ2, sub_vals); + + if (debug) + { + std::cout << "substitution_dPsi_vol_dJ: " + << substitution_dPsi_vol_dJ << std::endl; + std::cout << "substitution_d2Psi_vol_dJ2: " + << substitution_d2Psi_vol_dJ2 << std::endl; + } + + // Compute real values + dPsi_vol_dJ = static_cast(substitution_dPsi_vol_dJ); + d2Psi_vol_dJ2 = static_cast(substitution_d2Psi_vol_dJ2); + } + + if (debug) + { + std::cout << "dPsi_vol_dJ: " << dPsi_vol_dJ + << std::endl; + std::cout << "material->get_dPsi_vol_dJ(): " + << material->get_dPsi_vol_dJ() << std::endl; + std::cout << "d2Psi_vol_dJ2: " << d2Psi_vol_dJ2 + << std::endl; + std::cout << "material->get_d2Psi_vol_dJ2(): " + << material->get_d2Psi_vol_dJ2() << std::endl; + + std::cout << "tau: " << tau << std::endl; + std::cout << "material->get_tau(): " << material->get_tau() + << std::endl; + std::cout << "Jc: " << Jc << std::endl; + std::cout << "material->get_Jc(): " << material->get_Jc() + << std::endl; + } + + { + static const double tol = + 1e-6; // Minor computation error due to order of operations + + // Zero strain --> zero stress + if (std::abs(determinant(F) - 1.0) > 1e-9) + { + const SymmetricTensor<2, dim> tau_ref = material->get_tau(); + const SymmetricTensor<4, dim> Jc_ref = material->get_Jc(); + + Assert((tau - tau_ref).norm() / tau_ref.norm() < tol, + ExcMessage("SD computed stress is incorrect.")); + Assert((Jc - Jc_ref).norm() / Jc_ref.norm() < tol, + ExcMessage("SD computed tangent is incorrect.")); + Assert(std::abs((dPsi_vol_dJ - material->get_dPsi_vol_dJ()) / + material->get_dPsi_vol_dJ()) < tol, + ExcMessage("SD computed dPsi_vol_dJ is incorrect.")); + Assert(std::abs((d2Psi_vol_dJ2 - material->get_d2Psi_vol_dJ2()) / + material->get_d2Psi_vol_dJ2()) < tol, + ExcMessage("SD computed d2Psi_vol_dJ2 is incorrect.")); + } + else + { + Assert((tau - material->get_tau()).norm() < tol, + ExcMessage("SD computed stress is incorrect.")); + Assert((Jc - material->get_Jc()).norm() < tol, + ExcMessage("SD computed tangent is incorrect.")); + Assert(std::abs(dPsi_vol_dJ - material->get_dPsi_vol_dJ()) < tol, + ExcMessage("SD computed dPsi_vol_dJ is incorrect.")); + Assert(std::abs(d2Psi_vol_dJ2 - material->get_d2Psi_vol_dJ2()) < + tol, + ExcMessage("SD computed d2Psi_vol_dJ2 is incorrect.")); + } + } + } + double + get_J_tilde() const + { + return material->get_J_tilde(); + } + double + get_det_F() const + { + return material->get_det_F(); + } + const Tensor<2, dim> & + get_F_inv() const + { + return F_inv; + } + double + get_p_tilde() const + { + return material->get_p_tilde(); + } + const SymmetricTensor<2, dim> & + get_tau() const + { + return tau; + } + double + get_dPsi_vol_dJ() const + { + return dPsi_vol_dJ; + } + double + get_d2Psi_vol_dJ2() const + { + return d2Psi_vol_dJ2; + } + const SymmetricTensor<4, dim> & + get_Jc() const + { + return Jc; + } + + private: + std::shared_ptr> material; + Tensor<2, dim> F_inv; + + const SymmetricTensor<2, dim, SDNumberType> C_SD; + const SDNumberType p_tilde_SD; + const SDNumberType J_tilde_SD; + SymmetricTensor<2, dim, SDNumberType> symbolic_S; + SymmetricTensor<4, dim, SDNumberType> symbolic_H; + SDNumberType symbolic_dPsi_vol_dJ; + SDNumberType symbolic_d2Psi_vol_dJ2; + + SymmetricTensor<2, dim> tau; + double d2Psi_vol_dJ2; + double dPsi_vol_dJ; + SymmetricTensor<4, dim> Jc; + }; +} // namespace Step44 +int +main(int argc, char **argv) +{ + initlog(); + + Utilities::MPI::MPI_InitFinalize mpi_initialization( + argc, argv, testing_max_num_threads()); + + using namespace dealii; + using namespace Step44; + try + { + const unsigned int dim = 3; + Solid solid(SOURCE_DIR "/prm/parameters-step-44.prm"); + solid.run(); + } + catch (std::exception &exc) + { + std::cerr << std::endl + << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl + << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + return 0; +} diff --git a/tests/symengine/step-44-sd-quadrature_level_02.output b/tests/symengine/step-44-sd-quadrature_level_02.output new file mode 100644 index 0000000000..9f2261a1cb --- /dev/null +++ b/tests/symengine/step-44-sd-quadrature_level_02.output @@ -0,0 +1,11 @@ + +DEAL::Timestep 1: 0.00 -0.000129 0.00 +DEAL::Timestep 2: 0.00 -0.000256 0.00 +DEAL::Timestep 3: 0.00 -0.000376 0.00 +DEAL::Timestep 4: 0.00 -0.000485 0.00 +DEAL::Timestep 5: 0.00 -0.000580 0.00 +DEAL::Timestep 6: 0.00 -0.000660 0.00 +DEAL::Timestep 7: 0.00 -0.000727 0.00 +DEAL::Timestep 8: 0.00 -0.000783 0.00 +DEAL::Timestep 9: 0.00 -0.000828 0.00 +DEAL::Timestep 10: 0.00 -0.000866 0.00 diff --git a/tests/symengine/step-44-sd-quadrature_level_03.cc b/tests/symengine/step-44-sd-quadrature_level_03.cc new file mode 100644 index 0000000000..d3397c1488 --- /dev/null +++ b/tests/symengine/step-44-sd-quadrature_level_03.cc @@ -0,0 +1,357 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2020 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + +// This is a modified version of step-44, which tests the implementation of +// QP-level symbolic-differentiation. +// The differentiation is performed update front when the material class is +// created, and values are substituted in when known/necessary. +// A batch optimizer, using the LLVM JIT compiler with all available +// optimizations enabled, is also used. +// Compared to the run-time for step-44-sd-quadrature_level-[01,02].cc this +// serves only to gauge how quick/slow symbolic tensor differentiation is. + +#include "../tests.h" + +#include "sd_common_tests/step-44-sd-quadrature_level.h" + +namespace Step44 +{ + using namespace dealii; + namespace SD = Differentiation::SD; + + template + class PointHistory + { + using SDNumberType = SD::Expression; + using OptimizerType = SD::BatchOptimizer; + const bool debug; + + public: + PointHistory() + : debug(false) + , F_inv(StandardTensors::I) + , C_SD(SD::make_symmetric_tensor_of_symbols<2, dim>("C")) + , p_tilde_SD("p") + , J_tilde_SD("J") + , optimizer(SD::OptimizerType::llvm, SD::OptimizationFlags::optimize_all) + , tau(SymmetricTensor<2, dim>()) + , d2Psi_vol_dJ2(0.0) + , dPsi_vol_dJ(0.0) + , Jc(SymmetricTensor<4, dim>()) + {} + virtual ~PointHistory() + {} + SD::types::substitution_map + make_substitution_map(const Tensor<2, dim> &Grad_u_n, + const double p_tilde, + const double J_tilde) + { + // Build the symbol substitution map + const Tensor<2, dim> F = + (Tensor<2, dim>(StandardTensors::I) + Grad_u_n); + const SymmetricTensor<2, dim> C = symmetrize(transpose(F) * F); + SD::types::substitution_map sub_vals_unresolved; + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(C_SD, C)); + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(p_tilde_SD, + p_tilde)); + SD::add_to_substitution_map(sub_vals_unresolved, + SD::make_substitution_map(J_tilde_SD, + J_tilde)); + // NOTE: The recursive substitution is not really required in this case, + // but good to use in practise in case a more complex energy function is + // employed later + return SD::resolve_explicit_dependencies(sub_vals_unresolved); + } + void + setup_symbol_differentiation() + { + Assert(material.use_count() != 0, ExcMessage("Material not initialised")); + + // Step 0: Define some symbols (done in the PointHistory constructor) + // Step 1: Update stress and material tangent + { + // 1a: Perform some symbolic calculations + // Compute additional kinematic quantities + const SDNumberType det_C_SD = determinant(C_SD); + const SymmetricTensor<2, dim, SDNumberType> C_bar_SD( + pow(det_C_SD, -1.0 / dim) * C_SD); + // Compute energy + const SDNumberType det_F_SD = sqrt(det_C_SD); + const SDNumberType symbolic_psi = material->get_Psi_iso(C_bar_SD) + + p_tilde_SD * (det_F_SD - J_tilde_SD); + // Compute partial derivatives of energy function + symbolic_S = + 2.0 * SD::differentiate(symbolic_psi, C_SD); // S = 2*dpsi_dC + symbolic_H = + 2.0 * + SD::differentiate(symbolic_S, C_SD); // H = 2*dS_dC = 4*d2psi_dC_dC + + if (debug) + { + std::cout << "symbolic_psi: " << symbolic_psi << std::endl; + // std::cout << "symbolic_S: " << symbolic_S << std::endl; + // std::cout << "symbolic_H: " << symbolic_H << std::endl; + for (unsigned int i = 0; i < symbolic_S.n_independent_components; + ++i) + std::cout << "symbolic_S [" << i + << "]: " << symbolic_S.access_raw_entry(i) << std::endl; + } + } + + // Step 2: Update volumetric penalty terms + { + // 1a: Perform some symbolic calculations + // Compute energy + const SDNumberType symbolic_psi_vol = material->get_Psi_vol(J_tilde_SD); + // Compute partial derivatives of energy function + symbolic_dPsi_vol_dJ = SD::differentiate(symbolic_psi_vol, J_tilde_SD); + symbolic_d2Psi_vol_dJ2 = + SD::differentiate(symbolic_dPsi_vol_dJ, J_tilde_SD); + + if (debug) + { + std::cout << "symbolic_dPsi_vol_dJ: " << symbolic_dPsi_vol_dJ + << std::endl; + // std::cout << "symbolic_d2Psi_vol_dJ2: " << symbolic_d2Psi_vol_dJ2 + // << std::endl; + throw; + } + } + + // Step 3: Configure the batch optimizer + const SD::types::substitution_map sub_vals = + make_substitution_map(Tensor<2, dim>(), + 0.0, + 1.0); // Values don't matter here + optimizer.register_symbols(sub_vals); + optimizer.register_functions(symbolic_S, + symbolic_H, + symbolic_dPsi_vol_dJ, + symbolic_d2Psi_vol_dJ2); + optimizer.optimize(); + } + void + setup_lqp(const Parameters::AllParameters ¶meters) + { + material.reset( + new Material_Compressible_Neo_Hook_Three_Field(parameters.mu, + parameters.nu)); + setup_symbol_differentiation(); + update_values(Tensor<2, dim>(), 0.0, 1.0); + } + void + update_values(const Tensor<2, dim> &Grad_u_n, + const double p_tilde, + const double J_tilde) + { + const Tensor<2, dim> F = + (Tensor<2, dim>(StandardTensors::I) + Grad_u_n); + material->update_material_data(F, p_tilde, J_tilde); + F_inv = invert(F); + + // NOTE: In this instance we perform all of the symbolic computations ONCE + // up front and then reuse them as necessary. + + // Build the symbol substitution map + const SD::types::substitution_map sub_vals = + make_substitution_map(Grad_u_n, p_tilde, J_tilde); + + if (debug) + { + SD::Utilities::print_substitution_map(std::cout, sub_vals); + } + + // Pass substitution map to the optimizer + optimizer.substitute(sub_vals); + + // Step 1: Update stress and material tangent + { + // 1b: Perform substitution of symbols + // Compute real-valued deal.II tensors + const SymmetricTensor<2, dim> S = optimizer.evaluate(symbolic_S); + const SymmetricTensor<4, dim> H = optimizer.evaluate(symbolic_H); + + // Push-forward + tau = Physics::Transformations::Contravariant::push_forward(S, F); + Jc = Physics::Transformations::Contravariant::push_forward(H, F); + } + + // Step 2: Update volumetric penalty terms + { + // 1b: Perform substitution of symbols + // Compute real values + dPsi_vol_dJ = optimizer.evaluate(symbolic_dPsi_vol_dJ); + d2Psi_vol_dJ2 = optimizer.evaluate(symbolic_d2Psi_vol_dJ2); + } + + if (debug) + { + std::cout << "dPsi_vol_dJ: " << dPsi_vol_dJ + << std::endl; + std::cout << "material->get_dPsi_vol_dJ(): " + << material->get_dPsi_vol_dJ() << std::endl; + std::cout << "d2Psi_vol_dJ2: " << d2Psi_vol_dJ2 + << std::endl; + std::cout << "material->get_d2Psi_vol_dJ2(): " + << material->get_d2Psi_vol_dJ2() << std::endl; + + std::cout << "tau: " << tau << std::endl; + std::cout << "material->get_tau(): " << material->get_tau() + << std::endl; + std::cout << "Jc: " << Jc << std::endl; + std::cout << "material->get_Jc(): " << material->get_Jc() + << std::endl; + } + + { + static const double tol = + 1e-6; // Minor computation error due to order of operations + + // Zero strain --> zero stress + if (std::abs(determinant(F) - 1.0) > 1e-9) + { + const SymmetricTensor<2, dim> tau_ref = material->get_tau(); + const SymmetricTensor<4, dim> Jc_ref = material->get_Jc(); + + Assert((tau - tau_ref).norm() / tau_ref.norm() < tol, + ExcMessage("SD computed stress is incorrect.")); + Assert((Jc - Jc_ref).norm() / Jc_ref.norm() < tol, + ExcMessage("SD computed tangent is incorrect.")); + Assert(std::abs((dPsi_vol_dJ - material->get_dPsi_vol_dJ()) / + material->get_dPsi_vol_dJ()) < tol, + ExcMessage("SD computed dPsi_vol_dJ is incorrect.")); + Assert(std::abs((d2Psi_vol_dJ2 - material->get_d2Psi_vol_dJ2()) / + material->get_d2Psi_vol_dJ2()) < tol, + ExcMessage("SD computed d2Psi_vol_dJ2 is incorrect.")); + } + else + { + Assert((tau - material->get_tau()).norm() < tol, + ExcMessage("SD computed stress is incorrect.")); + Assert((Jc - material->get_Jc()).norm() < tol, + ExcMessage("SD computed tangent is incorrect.")); + Assert(std::abs(dPsi_vol_dJ - material->get_dPsi_vol_dJ()) < tol, + ExcMessage("SD computed dPsi_vol_dJ is incorrect.")); + Assert(std::abs(d2Psi_vol_dJ2 - material->get_d2Psi_vol_dJ2()) < + tol, + ExcMessage("SD computed d2Psi_vol_dJ2 is incorrect.")); + } + } + } + double + get_J_tilde() const + { + return material->get_J_tilde(); + } + double + get_det_F() const + { + return material->get_det_F(); + } + const Tensor<2, dim> & + get_F_inv() const + { + return F_inv; + } + double + get_p_tilde() const + { + return material->get_p_tilde(); + } + const SymmetricTensor<2, dim> & + get_tau() const + { + return tau; + } + double + get_dPsi_vol_dJ() const + { + return dPsi_vol_dJ; + } + double + get_d2Psi_vol_dJ2() const + { + return d2Psi_vol_dJ2; + } + const SymmetricTensor<4, dim> & + get_Jc() const + { + return Jc; + } + + private: + std::shared_ptr> material; + Tensor<2, dim> F_inv; + + const SymmetricTensor<2, dim, SDNumberType> C_SD; + const SDNumberType p_tilde_SD; + const SDNumberType J_tilde_SD; + SymmetricTensor<2, dim, SDNumberType> symbolic_S; + SymmetricTensor<4, dim, SDNumberType> symbolic_H; + SDNumberType symbolic_dPsi_vol_dJ; + SDNumberType symbolic_d2Psi_vol_dJ2; + OptimizerType optimizer; + + SymmetricTensor<2, dim> tau; + double d2Psi_vol_dJ2; + double dPsi_vol_dJ; + SymmetricTensor<4, dim> Jc; + }; +} // namespace Step44 +int +main(int argc, char **argv) +{ + initlog(); + + Utilities::MPI::MPI_InitFinalize mpi_initialization( + argc, argv, testing_max_num_threads()); + + using namespace dealii; + using namespace Step44; + try + { + const unsigned int dim = 3; + Solid solid(SOURCE_DIR "/prm/parameters-step-44.prm"); + solid.run(); + } + catch (std::exception &exc) + { + std::cerr << std::endl + << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Exception on processing: " << std::endl + << exc.what() << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + catch (...) + { + std::cerr << std::endl + << std::endl + << "----------------------------------------------------" + << std::endl; + std::cerr << "Unknown exception!" << std::endl + << "Aborting!" << std::endl + << "----------------------------------------------------" + << std::endl; + return 1; + } + return 0; +} diff --git a/tests/symengine/step-44-sd-quadrature_level_03.with_symengine_with_llvm.output b/tests/symengine/step-44-sd-quadrature_level_03.with_symengine_with_llvm.output new file mode 100644 index 0000000000..9f2261a1cb --- /dev/null +++ b/tests/symengine/step-44-sd-quadrature_level_03.with_symengine_with_llvm.output @@ -0,0 +1,11 @@ + +DEAL::Timestep 1: 0.00 -0.000129 0.00 +DEAL::Timestep 2: 0.00 -0.000256 0.00 +DEAL::Timestep 3: 0.00 -0.000376 0.00 +DEAL::Timestep 4: 0.00 -0.000485 0.00 +DEAL::Timestep 5: 0.00 -0.000580 0.00 +DEAL::Timestep 6: 0.00 -0.000660 0.00 +DEAL::Timestep 7: 0.00 -0.000727 0.00 +DEAL::Timestep 8: 0.00 -0.000783 0.00 +DEAL::Timestep 9: 0.00 -0.000828 0.00 +DEAL::Timestep 10: 0.00 -0.000866 0.00 -- 2.39.5