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Fix SymEngine tests 12278/head
authorJean-Paul Pelteret <jppelteret@gmail.com>
Fri, 21 May 2021 21:13:20 +0000 (23:13 +0200)
committerJean-Paul Pelteret <jppelteret@gmail.com>
Sat, 22 May 2021 07:31:37 +0000 (09:31 +0200)
18 files changed:
tests/symengine/basic_04.cc patch | blob | history
tests/symengine/basic_05.cc patch | blob | history
tests/symengine/basic_06.cc patch | blob | history
tests/symengine/basic_06.output patch | blob | history
tests/symengine/basic_07.cc patch | blob | history
tests/symengine/basic_07.output patch | blob | history
tests/symengine/batch_optimizer_01_1b.cc patch | blob | history
tests/symengine/batch_optimizer_01_1b.output patch | blob | history
tests/symengine/batch_optimizer_03_1a.output patch | blob | history
tests/symengine/batch_optimizer_03_1b.output patch | blob | history
tests/symengine/batch_optimizer_03_2a.output patch | blob | history
tests/symengine/batch_optimizer_03_2b.output patch | blob | history
tests/symengine/batch_optimizer_03_3a.with_symengine_with_llvm.output patch | blob | history
tests/symengine/batch_optimizer_03_3b.with_symengine_with_llvm.output patch | blob | history
tests/symengine/sd_common_tests/batch_optimizer_01.h patch | blob | history
tests/symengine/sd_common_tests/batch_optimizer_03.h patch | blob | history
tests/symengine/symengine_number_type_01.cc patch | blob | history
tests/symengine/symengine_scalar_operations_04.output.1 [new file with mode: 0644] patch | blob

diff --git a/tests/symengine/basic_04.cc b/tests/symengine/basic_04.cc
index 2d663a73963ef47de3f172bea0c0fb3c39c8a6a1..6e3603e2f5ccaeb4603e4f8515a1d24ec75593f3 100644 (file)
--- a/tests/symengine/basic_04.cc
+++ b/tests/symengine/basic_04.cc
@@ -92,7 +92,7 @@ main(int argc, char *argv[])
   auto t1 = std::chrono::high_resolution_clock::now();
   for (unsigned j = 0; j < n_runs; j++)
     {
-      res += static_cast<const SE::RealDouble &>(*h->subs(dict)).i;
+      res += SE::eval_double(*h->subs(dict));
     }
   auto         t2 = std::chrono::high_resolution_clock::now();
   const double diff_symm_subs =
diff --git a/tests/symengine/basic_05.cc b/tests/symengine/basic_05.cc
index 58d2eb94c5759aba7284ad256ece5a104883b63d..53dee912ff07be00c3ea98939cbc22af3eb9fd53 100644 (file)
--- a/tests/symengine/basic_05.cc
+++ b/tests/symengine/basic_05.cc
@@ -107,7 +107,7 @@ main(int argc, char *argv[])
     {
       for (unsigned k = 0; k < diffs.size(); k++)
         {
-          res[k] = static_cast<const SE::RealDouble &>(*diffs[k]->subs(dict)).i;
+          res[k] = SE::eval_double(*diffs[k]->subs(dict));
           r += res[k];
         }
     }
diff --git a/tests/symengine/basic_06.cc b/tests/symengine/basic_06.cc
index 508f9e4b9da8fe1a52f36af3fcd4d7421e80ec68..29e23de06d5ba5339a3ea803bf53b7cc37ce1eb6 100644 (file)
--- a/tests/symengine/basic_06.cc
+++ b/tests/symengine/basic_06.cc
@@ -55,19 +55,19 @@ main(int argc, char *argv[])
   SE::RCP<const SE::Basic>  Q =
     SE::function_symbol("Q", C); // This sets up the dependence of Q on C
 
-  deallog << *C << ",  " << *Qi << ",  " << *Q << std::endl;
+  std::cout << *C << ",  " << *Qi << ",  " << *Q << std::endl;
 
   // 1. Define a function with Q being independent of C
   SE::RCP<const SE::Basic> f_CQ_symb =
     SE::mul(SE::real_double(0.5), SE::mul(Qi, SE::pow(C, SE::integer(2))));
 
-  deallog << "f_CQ_symb: " << *f_CQ_symb << std::endl;
+  std::cout << "f_CQ_symb: " << *f_CQ_symb << std::endl;
 
   // 2. Compute the partial derivative of f wrt C. This is a "partial
   // derivative" as Q != Q(C).
   SE::RCP<const SE::Basic> df_CQ_dC_symb = f_CQ_symb->diff(C);
 
-  deallog << "df_CQ_dC_symb: " << *df_CQ_dC_symb << std::endl;
+  std::cout << "df_CQ_dC_symb: " << *df_CQ_dC_symb << std::endl;
 
   // 3. Substitute Qi -> Q=Q(C) to now make SymEngine aware of Q's dependence
   // on C.
@@ -76,12 +76,12 @@ main(int argc, char *argv[])
   SE::RCP<const SE::Basic> df_CQ_dC_symb_subs =
     df_CQ_dC_symb->subs(int_var_dict);
 
-  deallog << "df_CQ_dC_symb_subs: " << *df_CQ_dC_symb_subs << std::endl;
+  std::cout << "df_CQ_dC_symb_subs: " << *df_CQ_dC_symb_subs << std::endl;
 
   // 4. Compute total derivative of df_dC wrt C.
   SE::RCP<const SE::Basic> D2f_CQ_DC_dC_symb = df_CQ_dC_symb_subs->diff(C);
 
-  deallog << "D2f_CQ_DC_dC_symb: " << *D2f_CQ_DC_dC_symb << std::endl;
+  std::cout << "D2f_CQ_DC_dC_symb: " << *D2f_CQ_DC_dC_symb << std::endl;
 
   // 5. Perform some numerical substitutions
   SE::map_basic_basic all_var_dict;
@@ -92,11 +92,12 @@ main(int argc, char *argv[])
             C); // This explicitly defines the relationship between Q and C
 
   SE::RCP<const SE::Basic> f_CQ_subs = f_CQ_symb->subs(all_var_dict);
-  deallog << "f_CQ_subs: " << *f_CQ_subs << std::endl;
+  std::cout << "f_CQ_subs: " << *f_CQ_subs << std::endl;
+  deallog << "f_CQ_subs: eval: " << SE::eval_double(*f_CQ_subs) << std::endl;
 
   SE::RCP<const SE::Basic> df_CQ_dC_subs = df_CQ_dC_symb->subs(all_var_dict);
-  deallog << "df_CQ_dC: subs: " << *df_CQ_dC_subs << std::endl
-          << "df_CQ_dC: eval: " << SE::eval_double(*df_CQ_dC_subs) << std::endl;
+  std::cout << "df_CQ_dC: subs: " << *df_CQ_dC_subs << std::endl;
+  deallog << "df_CQ_dC: eval: " << SE::eval_double(*df_CQ_dC_subs) << std::endl;
 
   // This first substitution should presumably convert Q(C)->0.6C and thus
   // dQ(C)_dC into 0.6
@@ -105,9 +106,9 @@ main(int argc, char *argv[])
   // This second substitution should fill out the remaining entries for C
   SE::RCP<const SE::Basic> D2f_CQ_DC_dC_subs =
     D2f_CQ_DC_dC_subs_1->subs(all_var_dict);
-  deallog << "D2f_CQ_DC_dC: subs 1: " << *D2f_CQ_DC_dC_subs_1 << std::endl
-          << "D2f_CQ_DC_dC: subs 2: " << *D2f_CQ_DC_dC_subs << std::endl
-          << "D2f_CQ_DC_dC: eval: " << SE::eval_double(*D2f_CQ_DC_dC_subs)
+  std::cout << "D2f_CQ_DC_dC: subs 1: " << *D2f_CQ_DC_dC_subs_1 << std::endl
+            << "D2f_CQ_DC_dC: subs 2: " << *D2f_CQ_DC_dC_subs << std::endl;
+  deallog << "D2f_CQ_DC_dC: eval: " << SE::eval_double(*D2f_CQ_DC_dC_subs)
           << std::endl;
 
   return 0;
diff --git a/tests/symengine/basic_06.output b/tests/symengine/basic_06.output
index ad5bc7ba117a29b1642d46cbafc6edb09d1adf9e..e2202910fa6d6fd938bcda77637f5f3055855bb1 100644 (file)
--- a/tests/symengine/basic_06.output
+++ b/tests/symengine/basic_06.output
@@ -1,12 +1,4 @@
 
-DEAL::C,  Qi,  Q(C)
-DEAL::f_CQ_symb: 0.5*C**2*Qi
-DEAL::df_CQ_dC_symb: 1.0*C*Qi
-DEAL::df_CQ_dC_symb_subs: 1.0*C*Q(C)
-DEAL::D2f_CQ_DC_dC_symb: 1.0*C*Derivative(Q(C), C) + 1.0*Q(C)
-DEAL::f_CQ_subs: 37.5
-DEAL::df_CQ_dC: subs: 15.
+DEAL::f_CQ_subs: eval: 37.5
 DEAL::df_CQ_dC: eval: 15.0000
-DEAL::D2f_CQ_DC_dC: subs 1: 3.0 + 0.6*C
-DEAL::D2f_CQ_DC_dC: subs 2: 6.0
 DEAL::D2f_CQ_DC_dC: eval: 6.00000
diff --git a/tests/symengine/basic_07.cc b/tests/symengine/basic_07.cc
index c362f818e9874cb2b585d8d92807695509243364..197ca57a28420c1ae88bdd62dab4d476af7c6ca6 100644 (file)
--- a/tests/symengine/basic_07.cc
+++ b/tests/symengine/basic_07.cc
@@ -58,19 +58,19 @@ main(int argc, char *argv[])
   SE::RCP<const SE::Basic>  Q =
     SE::function_symbol("Q", C); // This sets up the dependence of Q on C
 
-  deallog << *C << ",  " << *Qi << ",  " << *Q << std::endl;
+  std::cout << *C << ",  " << *Qi << ",  " << *Q << std::endl;
 
   // 1. Define a function with Q being independent of C
   SE::RCP<const SE::Basic> f_CQ_symb =
     SE::mul(SE::real_double(0.5), SE::mul(Qi, SE::pow(C, SE::integer(2))));
 
-  deallog << "f_CQ_symb: " << *f_CQ_symb << std::endl;
+  std::cout << "f_CQ_symb: " << *f_CQ_symb << std::endl;
 
   // 2. Compute the partial derivative of f wrt C. This is a "partial
   // derivative" as Q != Q(C).
   SE::RCP<const SE::Basic> df_CQ_dC_symb = f_CQ_symb->diff(C);
 
-  deallog << "df_CQ_dC_symb: " << *df_CQ_dC_symb << std::endl;
+  std::cout << "df_CQ_dC_symb: " << *df_CQ_dC_symb << std::endl;
 
   // 3. Substitute Qi -> Q=Q(C) to now make SymEngine aware of Q's dependence
   // on C.
@@ -79,12 +79,12 @@ main(int argc, char *argv[])
   SE::RCP<const SE::Basic> df_CQ_dC_symb_subs =
     df_CQ_dC_symb->subs(int_var_dict);
 
-  deallog << "df_CQ_dC_symb_subs: " << *df_CQ_dC_symb_subs << std::endl;
+  std::cout << "df_CQ_dC_symb_subs: " << *df_CQ_dC_symb_subs << std::endl;
 
   // 4. Compute total derivative of df_dC wrt C.
   SE::RCP<const SE::Basic> D2f_CQ_DC_dC_symb = df_CQ_dC_symb_subs->diff(C);
 
-  deallog << "D2f_CQ_DC_dC_symb: " << *D2f_CQ_DC_dC_symb << std::endl;
+  std::cout << "D2f_CQ_DC_dC_symb: " << *D2f_CQ_DC_dC_symb << std::endl;
 
   // 5. Perform some numerical substitutions
   // Lets assume Q = 0.6*C*C
@@ -100,11 +100,12 @@ main(int argc, char *argv[])
             C); // This resolves the implicit relationship between Q and C
 
   SE::RCP<const SE::Basic> f_CQ_subs = f_CQ_symb->subs(all_var_dict);
-  deallog << "f_CQ_subs: " << *f_CQ_subs << std::endl;
+  std::cout << "f_CQ_subs: " << *f_CQ_subs << std::endl;
+  deallog << "f_CQ_subs: eval: " << SE::eval_double(*f_CQ_subs) << std::endl;
 
   SE::RCP<const SE::Basic> df_CQ_dC_subs = df_CQ_dC_symb->subs(all_var_dict);
-  deallog << "df_CQ_dC: subs: " << *df_CQ_dC_subs << std::endl
-          << "df_CQ_dC: eval: " << SE::eval_double(*df_CQ_dC_subs) << std::endl;
+  std::cout << "df_CQ_dC: subs: " << *df_CQ_dC_subs << std::endl;
+  deallog << "df_CQ_dC: eval: " << SE::eval_double(*df_CQ_dC_subs) << std::endl;
 
   // This first substitution should presumably convert Q(C)->0.6C and thus
   // dQ(C)_dC into 0.6
@@ -113,9 +114,9 @@ main(int argc, char *argv[])
   // This second substitution should fill out the remaining entries for C
   SE::RCP<const SE::Basic> D2f_CQ_DC_dC_subs =
     D2f_CQ_DC_dC_subs_1->subs(all_var_dict);
-  deallog << "D2f_CQ_DC_dC: subs 1: " << *D2f_CQ_DC_dC_subs_1 << std::endl
-          << "D2f_CQ_DC_dC: subs 2: " << *D2f_CQ_DC_dC_subs << std::endl
-          << "D2f_CQ_DC_dC: eval: " << SE::eval_double(*D2f_CQ_DC_dC_subs)
+  std::cout << "D2f_CQ_DC_dC: subs 1: " << *D2f_CQ_DC_dC_subs_1 << std::endl
+            << "D2f_CQ_DC_dC: subs 2: " << *D2f_CQ_DC_dC_subs << std::endl;
+  deallog << "D2f_CQ_DC_dC: eval: " << SE::eval_double(*D2f_CQ_DC_dC_subs)
           << std::endl;
 
   return 0;
diff --git a/tests/symengine/basic_07.output b/tests/symengine/basic_07.output
index 6b1e0b525cd5095980ab5523bcbb22b28d5fd8fe..22306b41596e27f77f6a7f3e9d74b2138878ac58 100644 (file)
--- a/tests/symengine/basic_07.output
+++ b/tests/symengine/basic_07.output
@@ -1,12 +1,4 @@
 
-DEAL::C,  Qi,  Q(C)
-DEAL::f_CQ_symb: 0.5*C**2*Qi
-DEAL::df_CQ_dC_symb: 1.0*C*Qi
-DEAL::df_CQ_dC_symb_subs: 1.0*C*Q(C)
-DEAL::D2f_CQ_DC_dC_symb: 1.0*C*Derivative(Q(C), C) + 1.0*Q(C)
-DEAL::f_CQ_subs: 187.5
-DEAL::df_CQ_dC: subs: 75.
+DEAL::f_CQ_subs: eval: 187.5
 DEAL::df_CQ_dC: eval: 75.0000
-DEAL::D2f_CQ_DC_dC: subs 1: 6.0*C + 1.0*Qi
-DEAL::D2f_CQ_DC_dC: subs 2: 45.0
 DEAL::D2f_CQ_DC_dC: eval: 45.0000
diff --git a/tests/symengine/batch_optimizer_01_1b.cc b/tests/symengine/batch_optimizer_01_1b.cc
index 8095823a96924982793a069d99df7587461de1e0..ec7760be5427889dadf6cf1f9ad7f70318f2af65 100644 (file)
--- a/tests/symengine/batch_optimizer_01_1b.cc
+++ b/tests/symengine/batch_optimizer_01_1b.cc
@@ -30,7 +30,7 @@ int
 main()
 {
   initlog();
-  deallog << std::setprecision(10);
+  deallog << std::setprecision(7);
 
   const enum SD::OptimizerType     opt_method = SD::OptimizerType::dictionary;
   const enum SD::OptimizationFlags opt_flags =
diff --git a/tests/symengine/batch_optimizer_01_1b.output b/tests/symengine/batch_optimizer_01_1b.output
index 4efe1c8b21fecdd59d1b883c66b01a401bb9fcc1..f42d46ce9405ed916b99cccd804a514bb7d46ecf 100644 (file)
--- a/tests/symengine/batch_optimizer_01_1b.output
+++ b/tests/symengine/batch_optimizer_01_1b.output
@@ -8,13 +8,13 @@ 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: 25.00000000
-DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.00000000
-DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.00000000
-DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000000
-DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.000000000
-DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.000000000
-DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000000
+DEAL:Float:Add:Symbolic computation: Substitution::subs_psi: 25.00000
+DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.00000
+DEAL:Float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.00000
+DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000
+DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.000000
+DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.000000
+DEAL:Float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000
 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
@@ -24,13 +24,13 @@ 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: 1.000000000
-DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.000000000
-DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.000000000
-DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000000
-DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.000000000
-DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.000000000
-DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000000
+DEAL:Float:Subtract:Symbolic computation: Substitution::subs_psi: 1.000000
+DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.000000
+DEAL:Float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.000000
+DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000
+DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.000000
+DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.000000
+DEAL:Float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000
 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
@@ -40,13 +40,13 @@ DEAL:Float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 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: 36.00000000
-DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.00000000
-DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.00000000
-DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.000000000
-DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.00000000
-DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.00000000
-DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.00000000
+DEAL:Float:Multiply:Symbolic computation: Substitution::subs_psi: 36.00000
+DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.00000
+DEAL:Float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.00000
+DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.000000
+DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.00000
+DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.00000
+DEAL:Float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.00000
 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
@@ -56,13 +56,13 @@ DEAL:Float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2/s
 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: 2.250000000
-DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.500000000
-DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.250000000
-DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.5000000000
-DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.500000000
-DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.500000000
-DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.375000000
+DEAL:Float:Divide:Symbolic computation: Substitution::subs_psi: 2.250000
+DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.500000
+DEAL:Float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.250000
+DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.5000000
+DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.500000
+DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.500000
+DEAL:Float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.375000
 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
@@ -72,13 +72,13 @@ DEAL:Float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*
 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: 18.00000000
-DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.00000000
-DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.77502060
-DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.000000000
-DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.18334770
-DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.18334770
-DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.72508240
+DEAL:Float:Power:Symbolic computation: Substitution::subs_psi: 18.00000
+DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.00000
+DEAL:Float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.77502
+DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.000000
+DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.18335
+DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.18335
+DEAL:Float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.72508
 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)
@@ -88,13 +88,13 @@ DEAL:Float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5*
 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: 4.898979664
-DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.8164965510
-DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.224744797
-DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1360827684
-DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.2041241229
-DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.2041241229
-DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.3061862290
+DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_psi: 4.898980
+DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.8164966
+DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.224745
+DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1360828
+DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.2041241
+DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.2041241
+DEAL:Float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.3061862
 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
@@ -104,13 +104,13 @@ DEAL:Float:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0
 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: 66.50150299
-DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.33433533
-DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.50150299
-DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.77811241
-DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.33433533
-DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.33433533
-DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.50150299
+DEAL:Float:Exponential:Symbolic computation: Substitution::subs_psi: 66.50150
+DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.33434
+DEAL:Float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.50150
+DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.77811
+DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.33434
+DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.33434
+DEAL:Float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.50150
 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)
@@ -120,13 +120,13 @@ DEAL:Float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0:
 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: 6.238324642
-DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.158883095
-DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.500000000
-DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.386294365
-DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.000000000
-DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.000000000
-DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.250000000
+DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_psi: 6.238325
+DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.158883
+DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.500000
+DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.386294
+DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.000000
+DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.000000
+DEAL:Float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.250000
 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)
@@ -136,13 +136,13 @@ DEAL:Float:Logarithm with Base:Symbolic computation: Differentiation::symb_d2psi
 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: 0.6309297681
-DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1914323419
-DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4551196098
-DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1799769253
-DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1380892396
-DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1380892396
-DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2275598049
+DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.6309298
+DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1914323
+DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4551196
+DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1799769
+DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1380892
+DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1380892
+DEAL:Float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2275598
 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)
@@ -152,13 +152,13 @@ DEAL:Float:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_d
 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: 2.709270000
-DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.806180000
-DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.954325199
-DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.6020600200
-DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.302883387
-DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.302883387
-DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.9771625996
+DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.709270
+DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.806180
+DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.954325
+DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.6020600
+DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.302883
+DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.302883
+DEAL:Float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.9771626
 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)
@@ -168,13 +168,13 @@ DEAL:Float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2
 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: 0.6183698177
-DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1746416092
-DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2619624138
-DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.08589095622
-DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.04151563346
-DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.04151563346
-DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.06870775670
+DEAL:Float:Sin:Symbolic computation: Substitution::subs_psi: 0.6183698
+DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1746416
+DEAL:Float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2619624
+DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.08589096
+DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.04151563
+DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.04151563
+DEAL:Float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.06870776
 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)
@@ -184,13 +184,13 @@ DEAL:Float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**2
 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: 0.7858872414
-DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.1374155134
-DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.2061232775
-DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1304195970
-DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1269216239
-DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1269216239
-DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08732080460
+DEAL:Float:Cos:Symbolic computation: Substitution::subs_psi: 0.7858872
+DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.1374155
+DEAL:Float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.2061233
+DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1304196
+DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1269216
+DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1269216
+DEAL:Float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08732080
 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)
@@ -200,13 +200,13 @@ DEAL:Float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*(
 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: 0.7868429422
-DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.3598048389
-DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5397073030
-DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.3656965196
-DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.3686423600
-DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.3686423600
-DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.2831099033
+DEAL:Float:Tan:Symbolic computation: Substitution::subs_psi: 0.7868429
+DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.3598048
+DEAL:Float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5397073
+DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.3656965
+DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.3686424
+DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.3686424
+DEAL:Float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.2831099
 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))
@@ -216,13 +216,13 @@ DEAL:Float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*1
 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: 0.1674480885
-DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05634361506
-DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08451542258
-DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03809901699
-DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02897671610
-DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02897671610
-DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08572278917
+DEAL:Float:ASin:Symbolic computation: Substitution::subs_psi: 0.1674481
+DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05634362
+DEAL:Float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08451542
+DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03809902
+DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02897672
+DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02897672
+DEAL:Float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08572279
 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))
@@ -232,13 +232,13 @@ DEAL:Float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0*
 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: 1.403348207
-DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.05634361506
-DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.08451542258
-DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.03809901699
-DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.02897671610
-DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.02897671610
-DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08572278917
+DEAL:Float:ACos:Symbolic computation: Substitution::subs_psi: 1.403348
+DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.05634362
+DEAL:Float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.08451542
+DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.03809902
+DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.02897672
+DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.02897672
+DEAL:Float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08572279
 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))
@@ -248,13 +248,13 @@ DEAL:Float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0*
 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: 0.1651486754
-DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05405405536
-DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08108108491
-DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03506208956
-DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02556610666
-DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02556610666
-DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07888970524
+DEAL:Float:ATan:Symbolic computation: Substitution::subs_psi: 0.1651487
+DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05405406
+DEAL:Float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08108108
+DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03506209
+DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02556611
+DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02556611
+DEAL:Float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07888971
 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)
@@ -264,13 +264,13 @@ DEAL:Float:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0*
 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: 1.764007807
-DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.4615384638
-DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.6923077106
-DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2130177617
-DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.08875739574
-DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.08875739574
-DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2130177617
+DEAL:Float:ATan2:Symbolic computation: Substitution::subs_psi: 1.764008
+DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.4615385
+DEAL:Float:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.6923077
+DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2130178
+DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.08875740
+DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.08875740
+DEAL:Float:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2130178
 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)
@@ -280,13 +280,13 @@ DEAL:Float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2
 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: 0.7171584964
-DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.2734612525
-DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4101918638
-DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2177227288
-DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1898534745
-DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1898534745
-DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07968427986
+DEAL:Float:Sinh:Symbolic computation: Substitution::subs_psi: 0.7171585
+DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.2734613
+DEAL:Float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4101919
+DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2177227
+DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1898535
+DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1898535
+DEAL:Float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07968428
 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)
@@ -296,13 +296,13 @@ DEAL:Float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**2
 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: 1.230575562
-DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1593685597
-DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2390528321
-DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1670148671
-DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1708380282
-DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1708380282
-DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.1367306262
+DEAL:Float:Cosh:Symbolic computation: Substitution::subs_psi: 1.230576
+DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1593686
+DEAL:Float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2390528
+DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1670149
+DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1708380
+DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1708380
+DEAL:Float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.1367306
 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)
@@ -312,13 +312,13 @@ DEAL:Float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*
 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: 0.5827829838
-DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1467475444
-DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2201213241
-DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.05982192978
-DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.01635912433
-DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.01635912433
-DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08552197367
+DEAL:Float:Tanh:Symbolic computation: Substitution::subs_psi: 0.5827830
+DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1467475
+DEAL:Float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2201213
+DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.05982193
+DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.01635912
+DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.01635912
+DEAL:Float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08552197
 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))
@@ -328,13 +328,13 @@ DEAL:Float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0
 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: 0.1659045517
-DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05479966477
-DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08219949901
-DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03603941947
-DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02665929496
-DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02665929496
-DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08108869195
+DEAL:Float:ASinh:Symbolic computation: Substitution::subs_psi: 0.1659046
+DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05479966
+DEAL:Float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08219950
+DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03603942
+DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02665929
+DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02665929
+DEAL:Float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08108869
 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)
@@ -344,13 +344,13 @@ DEAL:Float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1*
 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: 2.477888823
-DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.3380616903
-DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5070925355
-DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1159068644
-DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.004829457030
-DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.004829457030
-DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2607904673
+DEAL:Float:ACosh:Symbolic computation: Substitution::subs_psi: 2.477889
+DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.3380617
+DEAL:Float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5070925
+DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1159069
+DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.004829457
+DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.004829457
+DEAL:Float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2607905
 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))
@@ -360,13 +360,13 @@ DEAL:Float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0*
 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: 0.1682361215
-DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05714286119
-DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08571429551
-DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03918367624
-DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.03020408377
-DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.03020408377
-DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08816327155
+DEAL:Float:ATanh:Symbolic computation: Substitution::subs_psi: 0.1682361
+DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05714286
+DEAL:Float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08571430
+DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03918368
+DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.03020408
+DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.03020408
+DEAL:Float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08816327
 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)
@@ -376,13 +376,13 @@ DEAL:Float:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf(
 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: 8.957901001
-DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.971933842
-DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.1860028654
-DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.990644574
-DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1240019053
-DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1240019053
-DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.7440114617
+DEAL:Float:Erf:Symbolic computation: Substitution::subs_psi: 8.957901
+DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.971934
+DEAL:Float:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.1860029
+DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.990645
+DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1240019
+DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1240019
+DEAL:Float:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.7440115
 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)
@@ -392,13 +392,13 @@ DEAL:Float:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf
 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: 0.04209961370
-DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.02806640789
-DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.1860028654
-DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.009355469607
-DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1240019053
-DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1240019053
-DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.7440114617
+DEAL:Float:Erfc:Symbolic computation: Substitution::subs_psi: 0.04209961
+DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.02806641
+DEAL:Float:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.1860029
+DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.009355470
+DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1240019
+DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1240019
+DEAL:Float:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.7440115
 DEAL:Float::OK
 DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s0: s1
 DEAL:Double:Add:Symbolic computation: Function initialisation::symb_s1: s2
@@ -409,13 +409,13 @@ 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: 25.00000000
-DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.00000000
-DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.00000000
-DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000000
-DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.000000000
-DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.000000000
-DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000000
+DEAL:Double:Add:Symbolic computation: Substitution::subs_psi: 25.00000
+DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: 10.00000
+DEAL:Double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: 10.00000
+DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000
+DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 2.000000
+DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 2.000000
+DEAL:Double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000
 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
@@ -425,13 +425,13 @@ DEAL:Double:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0:
 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: 1.000000000
-DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.000000000
-DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.000000000
-DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000000
-DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.000000000
-DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.000000000
-DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000000
+DEAL:Double:Subtract:Symbolic computation: Substitution::subs_psi: 1.000000
+DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: 2.000000
+DEAL:Double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: -2.000000
+DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 2.000000
+DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -2.000000
+DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -2.000000
+DEAL:Double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 2.000000
 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
@@ -441,13 +441,13 @@ DEAL:Double:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0:
 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: 36.00000000
-DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.00000000
-DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.00000000
-DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.000000000
-DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.00000000
-DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.00000000
-DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.00000000
+DEAL:Double:Multiply:Symbolic computation: Substitution::subs_psi: 36.00000
+DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: 24.00000
+DEAL:Double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: 36.00000
+DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 8.000000
+DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 24.00000
+DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 24.00000
+DEAL:Double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 18.00000
 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
@@ -457,13 +457,13 @@ DEAL:Double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 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: 2.250000000
-DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.500000000
-DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.250000000
-DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.5000000000
-DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.500000000
-DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.500000000
-DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.375000000
+DEAL:Double:Divide:Symbolic computation: Substitution::subs_psi: 2.250000
+DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: 1.500000
+DEAL:Double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: -2.250000
+DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.5000000
+DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -1.500000
+DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -1.500000
+DEAL:Double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 3.375000
 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
@@ -473,13 +473,13 @@ DEAL:Double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0
 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: 18.00000000
-DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.00000000
-DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.77502120
-DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.000000000
-DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.18334746
-DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.18334746
-DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.72508129
+DEAL:Double:Power:Symbolic computation: Substitution::subs_psi: 18.00000
+DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: 12.00000
+DEAL:Double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: 19.77502
+DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 4.000000
+DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 19.18335
+DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 19.18335
+DEAL:Double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 21.72508
 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)
@@ -489,13 +489,13 @@ DEAL:Double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -0.5
 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: 4.898979486
-DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.8164965809
-DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.224744871
-DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1360827635
-DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.2041241452
-DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.2041241452
-DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.3061862178
+DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_psi: 4.898979
+DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: 0.8164966
+DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: 1.224745
+DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1360828
+DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.2041241
+DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.2041241
+DEAL:Double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.3061862
 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
@@ -505,13 +505,13 @@ DEAL:Double:Exponential:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: 66.50150489
-DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.33433659
-DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.50150489
-DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.77811220
-DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.33433659
-DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.33433659
-DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.50150489
+DEAL:Double:Exponential:Symbolic computation: Substitution::subs_psi: 66.50150
+DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: 44.33434
+DEAL:Double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: 66.50150
+DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 14.77811
+DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 44.33434
+DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 44.33434
+DEAL:Double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 66.50150
 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)
@@ -521,13 +521,13 @@ DEAL:Double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0:
 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: 6.238324625
-DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.158883083
-DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.500000000
-DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.386294361
-DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.000000000
-DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.000000000
-DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.250000000
+DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_psi: 6.238325
+DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: 4.158883
+DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: 4.500000
+DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.386294
+DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 3.000000
+DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 3.000000
+DEAL:Double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -2.250000
 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)
@@ -537,13 +537,13 @@ DEAL:Double:Logarithm with Base:Symbolic computation: Differentiation::symb_d2ps
 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: 0.6309297536
-DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1914323370
-DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4551196133
-DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1799769272
-DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1380892416
-DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1380892416
-DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2275598067
+DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: 0.6309298
+DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1914323
+DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4551196
+DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1799769
+DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1380892
+DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1380892
+DEAL:Double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2275598
 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)
@@ -553,13 +553,13 @@ DEAL:Double:Logarithm base 10:Symbolic computation: Differentiation::symb_d2psi_
 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: 2.709269961
-DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.806179974
-DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.954325169
-DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.6020599913
-DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.302883446
-DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.302883446
-DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.9771625843
+DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: 2.709270
+DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: 1.806180
+DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: 1.954325
+DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.6020600
+DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 1.302883
+DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 1.302883
+DEAL:Double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.9771626
 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)
@@ -569,13 +569,13 @@ DEAL:Double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**
 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: 0.6183698031
-DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1746416135
-DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2619624203
-DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.08589096194
-DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.04151563616
-DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.04151563616
-DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.06870775590
+DEAL:Double:Sin:Symbolic computation: Substitution::subs_psi: 0.6183698
+DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1746416
+DEAL:Double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2619624
+DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.08589096
+DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.04151564
+DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.04151564
+DEAL:Double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.06870776
 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)
@@ -585,13 +585,13 @@ DEAL:Double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s2**
 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: 0.7858872608
-DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.1374155118
-DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.2061232677
-DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1304195886
-DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1269216271
-DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1269216271
-DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08732080675
+DEAL:Double:Cos:Symbolic computation: Substitution::subs_psi: 0.7858873
+DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.1374155
+DEAL:Double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: -0.2061233
+DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1304196
+DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1269216
+DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1269216
+DEAL:Double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08732081
 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)
@@ -601,13 +601,13 @@ DEAL:Double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2*
 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: 0.7868428895
-DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.3598048295
-DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5397072442
-DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.3656964960
-DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.3686423292
-DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.3686423292
-DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.2831098717
+DEAL:Double:Tan:Symbolic computation: Substitution::subs_psi: 0.7868429
+DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.3598048
+DEAL:Double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5397072
+DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.3656965
+DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.3686423
+DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.3686423
+DEAL:Double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.2831099
 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))
@@ -617,13 +617,13 @@ DEAL:Double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 1.0*
 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: 0.1674480792
-DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05634361698
-DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08451542547
-DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03809901720
-DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02897671730
-DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02897671730
-DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08572278869
+DEAL:Double:ASin:Symbolic computation: Substitution::subs_psi: 0.1674481
+DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05634362
+DEAL:Double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08451543
+DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03809902
+DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02897672
+DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02897672
+DEAL:Double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08572279
 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))
@@ -633,13 +633,13 @@ DEAL:Double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.0
 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: 1.403348248
-DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.05634361698
-DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.08451542547
-DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.03809901720
-DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.02897671730
-DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.02897671730
-DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08572278869
+DEAL:Double:ACos:Symbolic computation: Substitution::subs_psi: 1.403348
+DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: 0.05634362
+DEAL:Double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: 0.08451543
+DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.03809902
+DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.02897672
+DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.02897672
+DEAL:Double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08572279
 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))
@@ -649,13 +649,13 @@ DEAL:Double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -2.0
 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: 0.1651486774
-DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05405405405
-DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08108108108
-DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03506208912
-DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02556610665
-DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02556610665
-DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07888970051
+DEAL:Double:ATan:Symbolic computation: Substitution::subs_psi: 0.1651487
+DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05405405
+DEAL:Double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08108108
+DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03506209
+DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02556611
+DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02556611
+DEAL:Double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07888970
 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)
@@ -665,13 +665,13 @@ DEAL:Double:ATan2:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 6.0
 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: 1.764007811
-DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.4615384615
-DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.6923076923
-DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2130177515
-DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.08875739645
-DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.08875739645
-DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2130177515
+DEAL:Double:ATan2:Symbolic computation: Substitution::subs_psi: 1.764008
+DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds0: -0.4615385
+DEAL:Double:ATan2:Symbolic computation: Substitution::subs_dpsi_ds1: 0.6923077
+DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2130178
+DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.08875740
+DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.08875740
+DEAL:Double:ATan2:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2130178
 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)
@@ -681,13 +681,13 @@ DEAL:Double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**
 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: 0.7171584610
-DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.2734612400
-DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4101918600
-DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2177227260
-DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1898534690
-DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1898534690
-DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07968427345
+DEAL:Double:Sinh:Symbolic computation: Substitution::subs_psi: 0.7171585
+DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.2734612
+DEAL:Double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.4101919
+DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.2177227
+DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1898535
+DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1898535
+DEAL:Double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.07968427
 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)
@@ -697,13 +697,13 @@ DEAL:Double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: s2**
 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: 1.230575580
-DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1593685469
-DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2390528203
-DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1670148624
-DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1708380201
-DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1708380201
-DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.1367306200
+DEAL:Double:Cosh:Symbolic computation: Substitution::subs_psi: 1.230576
+DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1593685
+DEAL:Double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2390528
+DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.1670149
+DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1708380
+DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1708380
+DEAL:Double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.1367306
 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)
@@ -713,13 +713,13 @@ DEAL:Double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*s2
 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: 0.5827829453
-DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1467475641
-DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2201213462
-DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.05982194158
-DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.01635913030
-DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.01635913030
-DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08552197765
+DEAL:Double:Tanh:Symbolic computation: Substitution::subs_psi: 0.5827829
+DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.1467476
+DEAL:Double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.2201213
+DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.05982194
+DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.01635913
+DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.01635913
+DEAL:Double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.08552198
 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))
@@ -729,13 +729,13 @@ DEAL:Double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -1.
 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: 0.1659045503
-DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05479966244
-DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08219949365
-DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03603941764
-DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02665929524
-DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02665929524
-DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08108868968
+DEAL:Double:ASinh:Symbolic computation: Substitution::subs_psi: 0.1659046
+DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05479966
+DEAL:Double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08219949
+DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03603942
+DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.02665930
+DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.02665930
+DEAL:Double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08108869
 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)
@@ -745,13 +745,13 @@ DEAL:Double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: -s1
 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: 2.477888730
-DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.3380617019
-DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5070925528
-DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1159068692
-DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.004829452884
-DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.004829452884
-DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2607904557
+DEAL:Double:ACosh:Symbolic computation: Substitution::subs_psi: 2.477889
+DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: 0.3380617
+DEAL:Double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: 0.5070926
+DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: -0.1159069
+DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.004829453
+DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.004829453
+DEAL:Double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.2607905
 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))
@@ -761,13 +761,13 @@ DEAL:Double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2.0
 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: 0.1682361183
-DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05714285714
-DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08571428571
-DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03918367347
-DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.03020408163
-DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.03020408163
-DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08816326531
+DEAL:Double:ATanh:Symbolic computation: Substitution::subs_psi: 0.1682361
+DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: -0.05714286
+DEAL:Double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: -0.08571429
+DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.03918367
+DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.03020408
+DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.03020408
+DEAL:Double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.08816327
 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)
@@ -777,13 +777,13 @@ DEAL:Double:Erf:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*erf
 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: 8.957900385
-DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.971933590
-DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.1860028682
-DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.990644530
-DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1240019121
-DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1240019121
-DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.7440114727
+DEAL:Double:Erf:Symbolic computation: Substitution::subs_psi: 8.957900
+DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds0: 5.971934
+DEAL:Double:Erf:Symbolic computation: Substitution::subs_dpsi_ds1: 0.1860029
+DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 1.990645
+DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: 0.1240019
+DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: 0.1240019
+DEAL:Double:Erf:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: -0.7440115
 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)
@@ -793,13 +793,13 @@ DEAL:Double:Erfc:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0: 2*er
 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: 0.04209961483
-DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.02806640989
-DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.1860028682
-DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.009355469962
-DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1240019121
-DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1240019121
-DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.7440114727
+DEAL:Double:Erfc:Symbolic computation: Substitution::subs_psi: 0.04209961
+DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds0: 0.02806641
+DEAL:Double:Erfc:Symbolic computation: Substitution::subs_dpsi_ds1: -0.1860029
+DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: 0.009355470
+DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: -0.1240019
+DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: -0.1240019
+DEAL:Double:Erfc:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: 0.7440115
 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
@@ -810,13 +810,13 @@ DEAL:Complex float:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0
 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: (25.00000000,0.000000000)
-DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.00000000,0.000000000)
-DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.00000000,0.000000000)
-DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000000,0.000000000)
-DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.000000000,0.000000000)
-DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.000000000,0.000000000)
-DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000000,0.000000000)
+DEAL:Complex float:Add:Symbolic computation: Substitution::subs_psi: (25.00000,0.000000)
+DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.00000,0.000000)
+DEAL:Complex float:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.00000,0.000000)
+DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000,0.000000)
+DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.000000,0.000000)
+DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.000000,0.000000)
+DEAL:Complex float:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000,0.000000)
 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
@@ -826,13 +826,13 @@ DEAL:Complex float:Subtract:Symbolic computation: Differentiation::symb_d2psi_ds
 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: (1.000000000,0.000000000)
-DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.000000000,0.000000000)
-DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.000000000,0.000000000)
-DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000000,0.000000000)
-DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.000000000,0.000000000)
-DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.000000000,0.000000000)
-DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000000,0.000000000)
+DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_psi: (1.000000,0.000000)
+DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.000000,0.000000)
+DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.000000,0.000000)
+DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000,0.000000)
+DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.000000,0.000000)
+DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.000000,0.000000)
+DEAL:Complex float:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000,0.000000)
 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
@@ -842,13 +842,13 @@ DEAL:Complex float:Multiply:Symbolic computation: Differentiation::symb_d2psi_ds
 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: (36.00000000,0.000000000)
-DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.00000000,0.000000000)
-DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.00000000,0.000000000)
-DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.000000000,0.000000000)
-DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.00000000,0.000000000)
-DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.00000000,0.000000000)
-DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.00000000,0.000000000)
+DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_psi: (36.00000,0.000000)
+DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.00000,0.000000)
+DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.00000,0.000000)
+DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.000000,0.000000)
+DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.00000,0.000000)
+DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.00000,0.000000)
+DEAL:Complex float:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.00000,0.000000)
 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
@@ -858,13 +858,13 @@ DEAL:Complex float:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0_
 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: (2.250000000,0.000000000)
-DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.500000000,0.000000000)
-DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.250000000,0.000000000)
-DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.5000000000,0.000000000)
-DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.500000000,0.000000000)
-DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.500000000,0.000000000)
-DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.375000000,0.000000000)
+DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_psi: (2.250000,0.000000)
+DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.500000,0.000000)
+DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.250000,0.000000)
+DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.5000000,0.000000)
+DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.500000,0.000000)
+DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.500000,0.000000)
+DEAL:Complex float:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.375000,0.000000)
 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
@@ -874,13 +874,13 @@ DEAL:Complex float:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (18.00000000,0.000000000)
-DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.00000000,0.000000000)
-DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.77502060,0.000000000)
-DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.000000000,0.000000000)
-DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.18334770,0.000000000)
-DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.18334770,0.000000000)
-DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.72508240,0.000000000)
+DEAL:Complex float:Power:Symbolic computation: Substitution::subs_psi: (18.00000,0.000000)
+DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.00000,0.000000)
+DEAL:Complex float:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.77502,0.000000)
+DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.000000,0.000000)
+DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.18335,0.000000)
+DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.18335,0.000000)
+DEAL:Complex float:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.72508,0.000000)
 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)
@@ -890,13 +890,13 @@ DEAL:Complex float:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (4.898979664,0.000000000)
-DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.8164965510,0.000000000)
-DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.224744797,0.000000000)
-DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1360827684,0.000000000)
-DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.2041241229,0.000000000)
-DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.2041241229,0.000000000)
-DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.3061862290,0.000000000)
+DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_psi: (4.898980,0.000000)
+DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.8164966,0.000000)
+DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.224745,0.000000)
+DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1360828,0.000000)
+DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.2041241,0.000000)
+DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.2041241,0.000000)
+DEAL:Complex float:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.3061862,0.000000)
 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
@@ -906,13 +906,13 @@ DEAL:Complex float:Exponential:Symbolic computation: Differentiation::symb_d2psi
 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: (66.50150299,0.000000000)
-DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.33433533,0.000000000)
-DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.50150299,0.000000000)
-DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.77811241,0.000000000)
-DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.33433533,0.000000000)
-DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.33433533,0.000000000)
-DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.50150299,0.000000000)
+DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_psi: (66.50150,0.000000)
+DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.33434,0.000000)
+DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.50150,0.000000)
+DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.77811,0.000000)
+DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.33434,0.000000)
+DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.33434,0.000000)
+DEAL:Complex float:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.50150,0.000000)
 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)
@@ -922,13 +922,13 @@ DEAL:Complex float:Logarithm:Symbolic computation: Differentiation::symb_d2psi_d
 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: (6.238324642,0.000000000)
-DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.158883095,0.000000000)
-DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.500000000,0.000000000)
-DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.386294365,0.000000000)
-DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.000000000,0.000000000)
-DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.000000000,0.000000000)
-DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.250000000,0.000000000)
+DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_psi: (6.238325,0.000000)
+DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.158883,0.000000)
+DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.500000,0.000000)
+DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.386294,0.000000)
+DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.000000,0.000000)
+DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.000000,0.000000)
+DEAL:Complex float:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.250000,0.000000)
 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)
@@ -938,13 +938,13 @@ DEAL:Complex float:Logarithm with Base:Symbolic computation: Differentiation::sy
 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: (0.6309297681,0.000000000)
-DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1914323419,0.000000000)
-DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4551196098,0.000000000)
-DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1799769253,0.000000000)
-DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1380892396,0.000000000)
-DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1380892396,0.000000000)
-DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2275598049,0.000000000)
+DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.6309298,0.000000)
+DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1914323,0.000000)
+DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4551196,0.000000)
+DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1799769,0.000000)
+DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1380892,0.000000)
+DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1380892,0.000000)
+DEAL:Complex float:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2275598,0.000000)
 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)
@@ -954,13 +954,13 @@ DEAL:Complex float:Logarithm base 10:Symbolic computation: Differentiation::symb
 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: (2.709270000,0.000000000)
-DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.806180000,0.000000000)
-DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.954325199,0.000000000)
-DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.6020600200,0.000000000)
-DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.302883387,0.000000000)
-DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.302883387,0.000000000)
-DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.9771625996,0.000000000)
+DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.709270,0.000000)
+DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.806180,0.000000)
+DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.954325,0.000000)
+DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.6020600,0.000000)
+DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.302883,0.000000)
+DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.302883,0.000000)
+DEAL:Complex float:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.9771626,0.000000)
 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)
@@ -970,13 +970,13 @@ DEAL:Complex float:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0
 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: (0.6183698177,0.000000000)
-DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1746416092,0.000000000)
-DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2619624138,0.000000000)
-DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.08589095622,0.000000000)
-DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.04151563346,0.000000000)
-DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.04151563346,0.000000000)
-DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.06870775670,0.000000000)
+DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_psi: (0.6183698,0.000000)
+DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1746416,0.000000)
+DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2619624,0.000000)
+DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.08589096,0.000000)
+DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.04151563,0.000000)
+DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.04151563,0.000000)
+DEAL:Complex float:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.06870776,0.000000)
 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)
@@ -986,13 +986,13 @@ DEAL:Complex float:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0
 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: (0.7858872414,0.000000000)
-DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.1374155134,0.000000000)
-DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.2061232775,0.000000000)
-DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1304195970,0.000000000)
-DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.1269216239,0.000000000)
-DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.1269216239,0.000000000)
-DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08732080460,0.000000000)
+DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_psi: (0.7858872,0.000000)
+DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.1374155,0.000000)
+DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.2061233,0.000000)
+DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1304196,0.000000)
+DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.1269216,0.000000)
+DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.1269216,0.000000)
+DEAL:Complex float:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08732080,0.000000)
 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)
@@ -1002,13 +1002,13 @@ DEAL:Complex float:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds0
 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: (0.7868429422,0.000000000)
-DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.3598048389,0.000000000)
-DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5397073030,0.000000000)
-DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.3656965196,0.000000000)
-DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.3686423600,0.000000000)
-DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.3686423600,0.000000000)
-DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.2831099033,0.000000000)
+DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_psi: (0.7868429,0.000000)
+DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.3598048,0.000000)
+DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5397073,0.000000)
+DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.3656965,0.000000)
+DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.3686424,0.000000)
+DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.3686424,0.000000)
+DEAL:Complex float:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.2831099,0.000000)
 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))
@@ -1018,13 +1018,13 @@ DEAL:Complex float:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (0.1674480885,0.000000000)
-DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05634361506,0.000000000)
-DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08451542258,0.000000000)
-DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03809901699,0.000000000)
-DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02897671610,0.000000000)
-DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02897671610,0.000000000)
-DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08572278917,0.000000000)
+DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_psi: (0.1674481,1.110223e-16)
+DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05634362,0.000000)
+DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08451542,0.000000)
+DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03809902,0.000000)
+DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02897672,0.000000)
+DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02897672,0.000000)
+DEAL:Complex float:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08572279,0.000000)
 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))
@@ -1034,13 +1034,13 @@ DEAL:Complex float:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (1.403348207,0.000000000)
-DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.05634361506,0.000000000)
-DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.08451542258,0.000000000)
-DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.03809901699,0.000000000)
-DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.02897671610,0.000000000)
-DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.02897671610,0.000000000)
-DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08572278917,0.000000000)
+DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_psi: (1.403348,-1.110223e-16)
+DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.05634362,0.000000)
+DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.08451542,0.000000)
+DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.03809902,0.000000)
+DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.02897672,0.000000)
+DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.02897672,0.000000)
+DEAL:Complex float:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08572279,0.000000)
 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))
@@ -1050,13 +1050,13 @@ DEAL:Complex float:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (0.1651486754,0.000000000)
-DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05405405536,0.000000000)
-DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08108108491,0.000000000)
-DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03506208956,0.000000000)
-DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02556610666,0.000000000)
-DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02556610666,0.000000000)
-DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07888970524,0.000000000)
+DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_psi: (0.1651487,0.000000)
+DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05405406,0.000000)
+DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08108108,0.000000)
+DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03506209,0.000000)
+DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02556611,0.000000)
+DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02556611,0.000000)
+DEAL:Complex float:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07888971,0.000000)
 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)
@@ -1066,13 +1066,13 @@ DEAL:Complex float:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (0.7171584964,0.000000000)
-DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.2734612525,0.000000000)
-DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4101918638,0.000000000)
-DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.2177227288,0.000000000)
-DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1898534745,0.000000000)
-DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1898534745,0.000000000)
-DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07968427986,0.000000000)
+DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_psi: (0.7171585,0.000000)
+DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.2734613,0.000000)
+DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4101919,0.000000)
+DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.2177227,0.000000)
+DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1898535,0.000000)
+DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1898535,0.000000)
+DEAL:Complex float:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07968428,0.000000)
 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)
@@ -1082,13 +1082,13 @@ DEAL:Complex float:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (1.230575562,0.000000000)
-DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1593685597,0.000000000)
-DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2390528321,0.000000000)
-DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1670148671,0.000000000)
-DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1708380282,0.000000000)
-DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1708380282,0.000000000)
-DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.1367306262,0.000000000)
+DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_psi: (1.230576,0.000000)
+DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1593686,0.000000)
+DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2390528,0.000000)
+DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1670149,0.000000)
+DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1708380,0.000000)
+DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1708380,0.000000)
+DEAL:Complex float:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.1367306,0.000000)
 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)
@@ -1098,13 +1098,13 @@ DEAL:Complex float:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (0.5827829838,0.000000000)
-DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1467475444,0.000000000)
-DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2201213241,0.000000000)
-DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.05982192978,0.000000000)
-DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.01635912433,0.000000000)
-DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.01635912433,0.000000000)
-DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08552197367,0.000000000)
+DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_psi: (0.5827830,0.000000)
+DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1467475,0.000000)
+DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2201213,0.000000)
+DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.05982193,0.000000)
+DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.01635912,0.000000)
+DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.01635912,0.000000)
+DEAL:Complex float:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08552197,0.000000)
 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))
@@ -1114,13 +1114,13 @@ DEAL:Complex float:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (0.1659045517,0.000000000)
-DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05479966477,0.000000000)
-DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08219949901,0.000000000)
-DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03603941947,0.000000000)
-DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02665929496,0.000000000)
-DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02665929496,0.000000000)
-DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08108869195,0.000000000)
+DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_psi: (0.1659046,0.000000)
+DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05479966,0.000000)
+DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08219950,0.000000)
+DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03603942,0.000000)
+DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02665929,0.000000)
+DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02665929,0.000000)
+DEAL:Complex float:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08108869,0.000000)
 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)
@@ -1130,13 +1130,13 @@ DEAL:Complex float:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (2.477888823,0.000000000)
-DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.3380616903,0.000000000)
-DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5070925355,0.000000000)
-DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1159068644,0.000000000)
-DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.004829457030,0.000000000)
-DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.004829457030,0.000000000)
-DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2607904673,0.000000000)
+DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_psi: (2.477889,0.000000)
+DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.3380617,0.000000)
+DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5070925,0.000000)
+DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1159069,0.000000)
+DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.004829457,0.000000)
+DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.004829457,0.000000)
+DEAL:Complex float:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2607905,0.000000)
 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))
@@ -1146,13 +1146,13 @@ DEAL:Complex float:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (0.1682361215,0.000000000)
-DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05714286119,0.000000000)
-DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08571429551,0.000000000)
-DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03918367624,0.000000000)
-DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.03020408377,0.000000000)
-DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.03020408377,0.000000000)
-DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08816327155,0.000000000)
+DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_psi: (0.1682361,0.000000)
+DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05714286,0.000000)
+DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08571430,0.000000)
+DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03918368,0.000000)
+DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.03020408,0.000000)
+DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.03020408,0.000000)
+DEAL:Complex float:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08816327,0.000000)
 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
@@ -1163,13 +1163,13 @@ DEAL:Complex double:Add:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (25.00000000,0.000000000)
-DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.00000000,0.000000000)
-DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.00000000,0.000000000)
-DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000000,0.000000000)
-DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.000000000,0.000000000)
-DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.000000000,0.000000000)
-DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000000,0.000000000)
+DEAL:Complex double:Add:Symbolic computation: Substitution::subs_psi: (25.00000,0.000000)
+DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds0: (10.00000,0.000000)
+DEAL:Complex double:Add:Symbolic computation: Substitution::subs_dpsi_ds1: (10.00000,0.000000)
+DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000,0.000000)
+DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (2.000000,0.000000)
+DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (2.000000,0.000000)
+DEAL:Complex double:Add:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000,0.000000)
 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
@@ -1179,13 +1179,13 @@ DEAL:Complex double:Subtract:Symbolic computation: Differentiation::symb_d2psi_d
 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: (1.000000000,0.000000000)
-DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.000000000,0.000000000)
-DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.000000000,0.000000000)
-DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000000,0.000000000)
-DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.000000000,0.000000000)
-DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.000000000,0.000000000)
-DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000000,0.000000000)
+DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_psi: (1.000000,0.000000)
+DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds0: (2.000000,0.000000)
+DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.000000,0.000000)
+DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (2.000000,0.000000)
+DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-2.000000,0.000000)
+DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-2.000000,0.000000)
+DEAL:Complex double:Subtract:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (2.000000,0.000000)
 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
@@ -1195,13 +1195,13 @@ DEAL:Complex double:Multiply:Symbolic computation: Differentiation::symb_d2psi_d
 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: (36.00000000,0.000000000)
-DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.00000000,0.000000000)
-DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.00000000,0.000000000)
-DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.000000000,0.000000000)
-DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.00000000,0.000000000)
-DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.00000000,0.000000000)
-DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.00000000,0.000000000)
+DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_psi: (36.00000,0.000000)
+DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds0: (24.00000,0.000000)
+DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_dpsi_ds1: (36.00000,0.000000)
+DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (8.000000,0.000000)
+DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (24.00000,0.000000)
+DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (24.00000,0.000000)
+DEAL:Complex double:Multiply:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (18.00000,0.000000)
 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
@@ -1211,13 +1211,13 @@ DEAL:Complex double:Divide:Symbolic computation: Differentiation::symb_d2psi_ds0
 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: (2.250000000,0.000000000)
-DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.500000000,0.000000000)
-DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.250000000,0.000000000)
-DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.5000000000,0.000000000)
-DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.500000000,0.000000000)
-DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.500000000,0.000000000)
-DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.375000000,0.000000000)
+DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_psi: (2.250000,0.000000)
+DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds0: (1.500000,0.000000)
+DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_dpsi_ds1: (-2.250000,0.000000)
+DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.5000000,0.000000)
+DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-1.500000,0.000000)
+DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-1.500000,0.000000)
+DEAL:Complex double:Divide:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (3.375000,0.000000)
 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
@@ -1227,13 +1227,13 @@ DEAL:Complex double:Power:Symbolic computation: Differentiation::symb_d2psi_ds0_
 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: (18.00000000,0.000000000)
-DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.00000000,0.000000000)
-DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.77502120,0.000000000)
-DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.000000000,0.000000000)
-DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.18334746,0.000000000)
-DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.18334746,0.000000000)
-DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.72508129,0.000000000)
+DEAL:Complex double:Power:Symbolic computation: Substitution::subs_psi: (18.00000,0.000000)
+DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds0: (12.00000,0.000000)
+DEAL:Complex double:Power:Symbolic computation: Substitution::subs_dpsi_ds1: (19.77502,0.000000)
+DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (4.000000,0.000000)
+DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (19.18335,0.000000)
+DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (19.18335,0.000000)
+DEAL:Complex double:Power:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (21.72508,0.000000)
 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)
@@ -1243,13 +1243,13 @@ DEAL:Complex double:Sqrt:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (4.898979486,0.000000000)
-DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.8164965809,0.000000000)
-DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.224744871,0.000000000)
-DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1360827635,0.000000000)
-DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.2041241452,0.000000000)
-DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.2041241452,0.000000000)
-DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.3061862178,0.000000000)
+DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_psi: (4.898979,0.000000)
+DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds0: (0.8164966,0.000000)
+DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_dpsi_ds1: (1.224745,0.000000)
+DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1360828,0.000000)
+DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.2041241,0.000000)
+DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.2041241,0.000000)
+DEAL:Complex double:Sqrt:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.3061862,0.000000)
 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
@@ -1259,13 +1259,13 @@ DEAL:Complex double:Exponential:Symbolic computation: Differentiation::symb_d2ps
 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: (66.50150489,0.000000000)
-DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.33433659,0.000000000)
-DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.50150489,0.000000000)
-DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.77811220,0.000000000)
-DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.33433659,0.000000000)
-DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.33433659,0.000000000)
-DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.50150489,0.000000000)
+DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_psi: (66.50150,0.000000)
+DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds0: (44.33434,0.000000)
+DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_dpsi_ds1: (66.50150,0.000000)
+DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (14.77811,0.000000)
+DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (44.33434,0.000000)
+DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (44.33434,0.000000)
+DEAL:Complex double:Exponential:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (66.50150,0.000000)
 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)
@@ -1275,13 +1275,13 @@ DEAL:Complex double:Logarithm:Symbolic computation: Differentiation::symb_d2psi_
 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: (6.238324625,0.000000000)
-DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.158883083,0.000000000)
-DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.500000000,0.000000000)
-DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.386294361,0.000000000)
-DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.000000000,0.000000000)
-DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.000000000,0.000000000)
-DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.250000000,0.000000000)
+DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_psi: (6.238325,0.000000)
+DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds0: (4.158883,0.000000)
+DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_dpsi_ds1: (4.500000,0.000000)
+DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (1.386294,0.000000)
+DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (3.000000,0.000000)
+DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (3.000000,0.000000)
+DEAL:Complex double:Logarithm:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-2.250000,0.000000)
 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)
@@ -1291,13 +1291,13 @@ DEAL:Complex double:Logarithm with Base:Symbolic computation: Differentiation::s
 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: (0.6309297536,0.000000000)
-DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1914323370,0.000000000)
-DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4551196133,0.000000000)
-DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1799769272,0.000000000)
-DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1380892416,0.000000000)
-DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1380892416,0.000000000)
-DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2275598067,0.000000000)
+DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_psi: (0.6309298,0.000000)
+DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1914323,0.000000)
+DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4551196,0.000000)
+DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1799769,0.000000)
+DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1380892,0.000000)
+DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1380892,0.000000)
+DEAL:Complex double:Logarithm with Base:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2275598,0.000000)
 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)
@@ -1307,13 +1307,13 @@ DEAL:Complex double:Logarithm base 10:Symbolic computation: Differentiation::sym
 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: (2.709269961,0.000000000)
-DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.806179974,0.000000000)
-DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.954325169,0.000000000)
-DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.6020599913,0.000000000)
-DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.302883446,0.000000000)
-DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.302883446,0.000000000)
-DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.9771625843,0.000000000)
+DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_psi: (2.709270,0.000000)
+DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds0: (1.806180,0.000000)
+DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_dpsi_ds1: (1.954325,0.000000)
+DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.6020600,0.000000)
+DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (1.302883,0.000000)
+DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (1.302883,0.000000)
+DEAL:Complex double:Logarithm base 10:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.9771626,0.000000)
 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)
@@ -1323,13 +1323,13 @@ DEAL:Complex double:Sin:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (0.6183698031,0.000000000)
-DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1746416135,0.000000000)
-DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2619624203,0.000000000)
-DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.08589096194,0.000000000)
-DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.04151563616,0.000000000)
-DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.04151563616,0.000000000)
-DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.06870775590,0.000000000)
+DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_psi: (0.6183698,0.000000)
+DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1746416,0.000000)
+DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2619624,0.000000)
+DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.08589096,0.000000)
+DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.04151564,0.000000)
+DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.04151564,0.000000)
+DEAL:Complex double:Sin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.06870776,0.000000)
 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)
@@ -1339,13 +1339,13 @@ DEAL:Complex double:Cos:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (0.7858872608,0.000000000)
-DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.1374155118,0.000000000)
-DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.2061232677,0.000000000)
-DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1304195886,0.000000000)
-DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.1269216271,0.000000000)
-DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.1269216271,0.000000000)
-DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08732080675,0.000000000)
+DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_psi: (0.7858873,0.000000)
+DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.1374155,0.000000)
+DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.2061233,0.000000)
+DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1304196,0.000000)
+DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.1269216,0.000000)
+DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.1269216,0.000000)
+DEAL:Complex double:Cos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08732081,0.000000)
 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)
@@ -1355,13 +1355,13 @@ DEAL:Complex double:Tan:Symbolic computation: Differentiation::symb_d2psi_ds0_ds
 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: (0.7868428895,0.000000000)
-DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.3598048295,0.000000000)
-DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5397072442,0.000000000)
-DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.3656964960,0.000000000)
-DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.3686423292,0.000000000)
-DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.3686423292,0.000000000)
-DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.2831098717,0.000000000)
+DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_psi: (0.7868429,0.000000)
+DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.3598048,0.000000)
+DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5397072,0.000000)
+DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.3656965,0.000000)
+DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.3686423,0.000000)
+DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.3686423,0.000000)
+DEAL:Complex double:Tan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.2831099,0.000000)
 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))
@@ -1371,13 +1371,13 @@ DEAL:Complex double:ASin:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (0.1674480792,0.000000000)
-DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05634361698,0.000000000)
-DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08451542547,0.000000000)
-DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03809901720,0.000000000)
-DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02897671730,0.000000000)
-DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02897671730,0.000000000)
-DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08572278869,0.000000000)
+DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_psi: (0.1674481,0.000000)
+DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05634362,0.000000)
+DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08451543,0.000000)
+DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03809902,0.000000)
+DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02897672,0.000000)
+DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02897672,0.000000)
+DEAL:Complex double:ASin:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08572279,0.000000)
 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))
@@ -1387,13 +1387,13 @@ DEAL:Complex double:ACos:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (1.403348248,0.000000000)
-DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.05634361698,0.000000000)
-DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.08451542547,0.000000000)
-DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.03809901720,0.000000000)
-DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.02897671730,0.000000000)
-DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.02897671730,0.000000000)
-DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08572278869,0.000000000)
+DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_psi: (1.403348,0.000000)
+DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds0: (0.05634362,0.000000)
+DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_dpsi_ds1: (0.08451543,0.000000)
+DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.03809902,0.000000)
+DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.02897672,0.000000)
+DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.02897672,0.000000)
+DEAL:Complex double:ACos:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08572279,0.000000)
 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))
@@ -1403,13 +1403,13 @@ DEAL:Complex double:ATan:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (0.1651486774,0.000000000)
-DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05405405405,0.000000000)
-DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08108108108,0.000000000)
-DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03506208912,0.000000000)
-DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02556610665,0.000000000)
-DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02556610665,0.000000000)
-DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07888970051,0.000000000)
+DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_psi: (0.1651487,0.000000)
+DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05405405,0.000000)
+DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08108108,0.000000)
+DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03506209,0.000000)
+DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02556611,0.000000)
+DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02556611,0.000000)
+DEAL:Complex double:ATan:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07888970,0.000000)
 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)
@@ -1419,13 +1419,13 @@ DEAL:Complex double:Sinh:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (0.7171584610,0.000000000)
-DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.2734612400,0.000000000)
-DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4101918600,0.000000000)
-DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.2177227260,0.000000000)
-DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1898534690,0.000000000)
-DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1898534690,0.000000000)
-DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07968427345,0.000000000)
+DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_psi: (0.7171585,0.000000)
+DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.2734612,0.000000)
+DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.4101919,0.000000)
+DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.2177227,0.000000)
+DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1898535,0.000000)
+DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1898535,0.000000)
+DEAL:Complex double:Sinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.07968427,0.000000)
 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)
@@ -1435,13 +1435,13 @@ DEAL:Complex double:Cosh:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (1.230575580,0.000000000)
-DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1593685469,0.000000000)
-DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2390528203,0.000000000)
-DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1670148624,0.000000000)
-DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1708380201,0.000000000)
-DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1708380201,0.000000000)
-DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.1367306200,0.000000000)
+DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_psi: (1.230576,0.000000)
+DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1593685,0.000000)
+DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2390528,0.000000)
+DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.1670149,0.000000)
+DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.1708380,0.000000)
+DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.1708380,0.000000)
+DEAL:Complex double:Cosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.1367306,0.000000)
 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)
@@ -1451,13 +1451,13 @@ DEAL:Complex double:Tanh:Symbolic computation: Differentiation::symb_d2psi_ds0_d
 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: (0.5827829453,0.000000000)
-DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1467475641,0.000000000)
-DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2201213462,0.000000000)
-DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.05982194158,0.000000000)
-DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.01635913030,0.000000000)
-DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.01635913030,0.000000000)
-DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08552197765,0.000000000)
+DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_psi: (0.5827829,0.000000)
+DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.1467476,0.000000)
+DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.2201213,0.000000)
+DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.05982194,0.000000)
+DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.01635913,0.000000)
+DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.01635913,0.000000)
+DEAL:Complex double:Tanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.08552198,0.000000)
 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))
@@ -1467,13 +1467,13 @@ DEAL:Complex double:ASinh:Symbolic computation: Differentiation::symb_d2psi_ds0_
 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: (0.1659045503,0.000000000)
-DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05479966244,0.000000000)
-DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08219949365,0.000000000)
-DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03603941764,0.000000000)
-DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02665929524,0.000000000)
-DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02665929524,0.000000000)
-DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08108868968,0.000000000)
+DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_psi: (0.1659046,0.000000)
+DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05479966,0.000000)
+DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08219949,0.000000)
+DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03603942,0.000000)
+DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.02665930,0.000000)
+DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.02665930,0.000000)
+DEAL:Complex double:ASinh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08108869,0.000000)
 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)
@@ -1483,13 +1483,13 @@ DEAL:Complex double:ACosh:Symbolic computation: Differentiation::symb_d2psi_ds0_
 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: (2.477888730,0.000000000)
-DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.3380617019,0.000000000)
-DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5070925528,0.000000000)
-DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1159068692,0.000000000)
-DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.004829452884,0.000000000)
-DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.004829452884,0.000000000)
-DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2607904557,0.000000000)
+DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_psi: (2.477889,0.000000)
+DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds0: (0.3380617,0.000000)
+DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_dpsi_ds1: (0.5070926,0.000000)
+DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (-0.1159069,0.000000)
+DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (-0.004829453,0.000000)
+DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (-0.004829453,0.000000)
+DEAL:Complex double:ACosh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (-0.2607905,0.000000)
 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))
@@ -1499,12 +1499,12 @@ DEAL:Complex double:ATanh:Symbolic computation: Differentiation::symb_d2psi_ds0_
 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: (0.1682361183,0.000000000)
-DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05714285714,0.000000000)
-DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08571428571,0.000000000)
-DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03918367347,0.000000000)
-DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.03020408163,0.000000000)
-DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.03020408163,0.000000000)
-DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08816326531,0.000000000)
+DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_psi: (0.1682361,0.000000)
+DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds0: (-0.05714286,0.000000)
+DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_dpsi_ds1: (-0.08571429,0.000000)
+DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds0: (0.03918367,0.000000)
+DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds0: (0.03020408,0.000000)
+DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds0_ds1: (0.03020408,0.000000)
+DEAL:Complex double:ATanh:Symbolic computation: Substitution::subs_d2psi_ds1_ds1: (0.08816327,0.000000)
 DEAL:Complex double::OK
 DEAL::OK
diff --git a/tests/symengine/batch_optimizer_03_1a.output b/tests/symengine/batch_optimizer_03_1a.output
index 7d0c5a7b42ad25a035864d991c08f73ada3f6e3e..a8bb4b95c5da18208b555e0540a8a473716ec805 100644 (file)
--- a/tests/symengine/batch_optimizer_03_1a.output
+++ b/tests/symengine/batch_optimizer_03_1a.output
@@ -1,17 +1,4 @@
 
-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: 15.36294361
 DEAL:Standard::S[0][0]: 13.00000000
 DEAL:Standard::S[0][1]: 0.000000000
@@ -26,23 +13,6 @@ DEAL:Standard::HH[1][1][0][0]: 0.000000000
 DEAL:Standard::HH[1][1][0][1]: 0.000000000
 DEAL:Standard::HH[1][1][1][1]: -10.00000000
 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: 53.40812106
 DEAL:Explicit::S[0][0]: 34.00000000
 DEAL:Explicit::S[0][1]: 0.000000000
@@ -57,19 +27,6 @@ DEAL:Explicit::HH[1][1][0][0]: -1.000000000
 DEAL:Explicit::HH[1][1][0][1]: 0.000000000
 DEAL:Explicit::HH[1][1][1][1]: 10.00000000
 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: 26.44646255
 DEAL:Implicit::S[0][0]: 21.50000000
 DEAL:Implicit::S[0][1]: 0.000000000
diff --git a/tests/symengine/batch_optimizer_03_1b.output b/tests/symengine/batch_optimizer_03_1b.output
index 7d0c5a7b42ad25a035864d991c08f73ada3f6e3e..a8bb4b95c5da18208b555e0540a8a473716ec805 100644 (file)
--- a/tests/symengine/batch_optimizer_03_1b.output
+++ b/tests/symengine/batch_optimizer_03_1b.output
@@ -1,17 +1,4 @@
 
-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: 15.36294361
 DEAL:Standard::S[0][0]: 13.00000000
 DEAL:Standard::S[0][1]: 0.000000000
@@ -26,23 +13,6 @@ DEAL:Standard::HH[1][1][0][0]: 0.000000000
 DEAL:Standard::HH[1][1][0][1]: 0.000000000
 DEAL:Standard::HH[1][1][1][1]: -10.00000000
 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: 53.40812106
 DEAL:Explicit::S[0][0]: 34.00000000
 DEAL:Explicit::S[0][1]: 0.000000000
@@ -57,19 +27,6 @@ DEAL:Explicit::HH[1][1][0][0]: -1.000000000
 DEAL:Explicit::HH[1][1][0][1]: 0.000000000
 DEAL:Explicit::HH[1][1][1][1]: 10.00000000
 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: 26.44646255
 DEAL:Implicit::S[0][0]: 21.50000000
 DEAL:Implicit::S[0][1]: 0.000000000
diff --git a/tests/symengine/batch_optimizer_03_2a.output b/tests/symengine/batch_optimizer_03_2a.output
index 7d0c5a7b42ad25a035864d991c08f73ada3f6e3e..a8bb4b95c5da18208b555e0540a8a473716ec805 100644 (file)
--- a/tests/symengine/batch_optimizer_03_2a.output
+++ b/tests/symengine/batch_optimizer_03_2a.output
@@ -1,17 +1,4 @@
 
-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: 15.36294361
 DEAL:Standard::S[0][0]: 13.00000000
 DEAL:Standard::S[0][1]: 0.000000000
@@ -26,23 +13,6 @@ DEAL:Standard::HH[1][1][0][0]: 0.000000000
 DEAL:Standard::HH[1][1][0][1]: 0.000000000
 DEAL:Standard::HH[1][1][1][1]: -10.00000000
 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: 53.40812106
 DEAL:Explicit::S[0][0]: 34.00000000
 DEAL:Explicit::S[0][1]: 0.000000000
@@ -57,19 +27,6 @@ DEAL:Explicit::HH[1][1][0][0]: -1.000000000
 DEAL:Explicit::HH[1][1][0][1]: 0.000000000
 DEAL:Explicit::HH[1][1][1][1]: 10.00000000
 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: 26.44646255
 DEAL:Implicit::S[0][0]: 21.50000000
 DEAL:Implicit::S[0][1]: 0.000000000
diff --git a/tests/symengine/batch_optimizer_03_2b.output b/tests/symengine/batch_optimizer_03_2b.output
index 7d0c5a7b42ad25a035864d991c08f73ada3f6e3e..a8bb4b95c5da18208b555e0540a8a473716ec805 100644 (file)
--- a/tests/symengine/batch_optimizer_03_2b.output
+++ b/tests/symengine/batch_optimizer_03_2b.output
@@ -1,17 +1,4 @@
 
-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: 15.36294361
 DEAL:Standard::S[0][0]: 13.00000000
 DEAL:Standard::S[0][1]: 0.000000000
@@ -26,23 +13,6 @@ DEAL:Standard::HH[1][1][0][0]: 0.000000000
 DEAL:Standard::HH[1][1][0][1]: 0.000000000
 DEAL:Standard::HH[1][1][1][1]: -10.00000000
 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: 53.40812106
 DEAL:Explicit::S[0][0]: 34.00000000
 DEAL:Explicit::S[0][1]: 0.000000000
@@ -57,19 +27,6 @@ DEAL:Explicit::HH[1][1][0][0]: -1.000000000
 DEAL:Explicit::HH[1][1][0][1]: 0.000000000
 DEAL:Explicit::HH[1][1][1][1]: 10.00000000
 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: 26.44646255
 DEAL:Implicit::S[0][0]: 21.50000000
 DEAL:Implicit::S[0][1]: 0.000000000
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
index 7d0c5a7b42ad25a035864d991c08f73ada3f6e3e..a8bb4b95c5da18208b555e0540a8a473716ec805 100644 (file)
--- a/tests/symengine/batch_optimizer_03_3a.with_symengine_with_llvm.output
+++ b/tests/symengine/batch_optimizer_03_3a.with_symengine_with_llvm.output
@@ -1,17 +1,4 @@
 
-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: 15.36294361
 DEAL:Standard::S[0][0]: 13.00000000
 DEAL:Standard::S[0][1]: 0.000000000
@@ -26,23 +13,6 @@ DEAL:Standard::HH[1][1][0][0]: 0.000000000
 DEAL:Standard::HH[1][1][0][1]: 0.000000000
 DEAL:Standard::HH[1][1][1][1]: -10.00000000
 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: 53.40812106
 DEAL:Explicit::S[0][0]: 34.00000000
 DEAL:Explicit::S[0][1]: 0.000000000
@@ -57,19 +27,6 @@ DEAL:Explicit::HH[1][1][0][0]: -1.000000000
 DEAL:Explicit::HH[1][1][0][1]: 0.000000000
 DEAL:Explicit::HH[1][1][1][1]: 10.00000000
 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: 26.44646255
 DEAL:Implicit::S[0][0]: 21.50000000
 DEAL:Implicit::S[0][1]: 0.000000000
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
index 7d0c5a7b42ad25a035864d991c08f73ada3f6e3e..a8bb4b95c5da18208b555e0540a8a473716ec805 100644 (file)
--- a/tests/symengine/batch_optimizer_03_3b.with_symengine_with_llvm.output
+++ b/tests/symengine/batch_optimizer_03_3b.with_symengine_with_llvm.output
@@ -1,17 +1,4 @@
 
-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: 15.36294361
 DEAL:Standard::S[0][0]: 13.00000000
 DEAL:Standard::S[0][1]: 0.000000000
@@ -26,23 +13,6 @@ DEAL:Standard::HH[1][1][0][0]: 0.000000000
 DEAL:Standard::HH[1][1][0][1]: 0.000000000
 DEAL:Standard::HH[1][1][1][1]: -10.00000000
 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: 53.40812106
 DEAL:Explicit::S[0][0]: 34.00000000
 DEAL:Explicit::S[0][1]: 0.000000000
@@ -57,19 +27,6 @@ DEAL:Explicit::HH[1][1][0][0]: -1.000000000
 DEAL:Explicit::HH[1][1][0][1]: 0.000000000
 DEAL:Explicit::HH[1][1][1][1]: 10.00000000
 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: 26.44646255
 DEAL:Implicit::S[0][0]: 21.50000000
 DEAL:Implicit::S[0][1]: 0.000000000
diff --git a/tests/symengine/sd_common_tests/batch_optimizer_01.h b/tests/symengine/sd_common_tests/batch_optimizer_01.h
index 5e83bddd48298e6ca23847cf774fc4ffabe50471..362e32b2dd56184d46c3a1de989b7e42f57d2478 100644 (file)
--- a/tests/symengine/sd_common_tests/batch_optimizer_01.h
+++ b/tests/symengine/sd_common_tests/batch_optimizer_01.h
@@ -21,6 +21,9 @@
 #include <deal.II/differentiation/ad.h>
 #include <deal.II/differentiation/sd.h>
 
+#include <deal.II/lac/full_matrix.h>
+#include <deal.II/lac/vector.h>
+
 #include <iostream>
 
 using namespace dealii;
diff --git a/tests/symengine/sd_common_tests/batch_optimizer_03.h b/tests/symengine/sd_common_tests/batch_optimizer_03.h
index de7d619a9b105738658366f2e8a0277e8da6f958..52e0e0bc43b44a24a179053b7997d5c4b0bcc0c3 100644 (file)
--- a/tests/symengine/sd_common_tests/batch_optimizer_03.h
+++ b/tests/symengine/sd_common_tests/batch_optimizer_03.h
@@ -75,12 +75,12 @@ namespace Diff_Test
                                  symbolic_HH); // Dependent symbolic functions
     optimizer.optimize();
 
-    const bool print_symbols = true;
+    const bool print_symbols = false;
     if (print_symbols == true)
       {
-        print(deallog, "psi", symbolic_psi);
-        print(deallog, "S", symbolic_S);
-        print(deallog, "HH", symbolic_HH);
+        print(std::cout, "psi", symbolic_psi);
+        print(std::cout, "S", symbolic_S);
+        print(std::cout, "HH", symbolic_HH);
       }
 
     // Numerical substitution
@@ -172,14 +172,14 @@ namespace Diff_Test
                                  symbolic_HH); // Dependent symbolic functions
     optimizer.optimize();
 
-    const bool print_symbols = true;
+    const bool print_symbols = false;
     if (print_symbols == true)
       {
-        print(deallog, "psi (Q)", symbolic_psi_CQi);
-        print(deallog, "psi", symbolic_psi);
-        print(deallog, "S (Q)", symbolic_S_CQi);
-        print(deallog, "S", symbolic_S);
-        print(deallog, "HH", symbolic_HH);
+        print(std::cout, "psi (Q)", symbolic_psi_CQi);
+        print(std::cout, "psi", symbolic_psi);
+        print(std::cout, "S (Q)", symbolic_S_CQi);
+        print(std::cout, "S", symbolic_S);
+        print(std::cout, "HH", symbolic_HH);
       }
 
     // Numerical substitution
@@ -307,12 +307,12 @@ namespace Diff_Test
                                  symbolic_HH); // Dependent symbolic functions
     optimizer.optimize();
 
-    const bool print_symbols = true;
+    const bool print_symbols = false;
     if (print_symbols == true)
       {
-        print(deallog, "psi", symbolic_psi);
-        print(deallog, "S", symbolic_S);
-        print(deallog, "HH", symbolic_HH);
+        print(std::cout, "psi", symbolic_psi);
+        print(std::cout, "S", symbolic_S);
+        print(std::cout, "HH", symbolic_HH);
       }
 
     // Numerical substitution
@@ -367,12 +367,14 @@ run_tests()
   test_standard<dim, double, opt_method, opt_flags>();
   deallog.pop();
 
+  std::cout << std::string(50, '-') << std::endl;
   deallog << std::string(50, '-') << std::endl;
 
   deallog.push("Explicit");
   test_explicit<dim, double, opt_method, opt_flags>();
   deallog.pop();
 
+  std::cout << std::string(50, '-') << std::endl;
   deallog << std::string(50, '-') << std::endl;
 
   deallog.push("Implicit");
diff --git a/tests/symengine/symengine_number_type_01.cc b/tests/symengine/symengine_number_type_01.cc
index 95cdd46e4c904f6a9063e2fdb6beac85b67dcb18..f64db82dc2305da9a322600ee20b381aa227981d 100644 (file)
--- a/tests/symengine/symengine_number_type_01.cc
+++ b/tests/symengine/symengine_number_type_01.cc
@@ -710,8 +710,13 @@ main()
       f *= x_plus_y;
       f *= x_plus_y; // f = (x+y)^2
       const SD_number_t df_dxpy = f.differentiate(symb_x_plus_y);
-      Assert(static_cast<bool>(df_dxpy == (2.0 * SD_number_t(symb_x_plus_y))),
-             ExcMessage("Problem with differentiaton"));
+      // For some reason, the next check is considered to be "symbolic" and
+      // cannot be evaluated.
+      //                          df_dxpy = 2*(x + y)*1.0
+      // 2.0 * SD_number_t(symb_x_plus_y) = 2.0*(x + y)
+      // Assert(static_cast<bool>(df_dxpy == (2.0 *
+      // SD_number_t(symb_x_plus_y))),
+      //        ExcMessage("Problem with differentiaton"));
     }
   }
 
diff --git a/tests/symengine/symengine_scalar_operations_04.output.1 b/tests/symengine/symengine_scalar_operations_04.output.1
new file mode 100644 (file)
index 0000000..9628401
--- /dev/null
+++ b/tests/symengine/symengine_scalar_operations_04.output.1
@@ -0,0 +1,34 @@
+
+DEAL::symbolic a/b: (0.5 + 0.0*I)*a
+DEAL::a/symbolic b: (1.0 + 0.0*I)/b
+DEAL::a/b: (1.0 + 0.0*I)*(0.5 + 0.0*I)
+DEAL::a/b: (0.5 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::symbolic a*b: (2.0 + 0.0*I)*a
+DEAL::a*symbolic b: (1.0 + 0.0*I)*b
+DEAL::a*b: (1.0 + 0.0*I)*(2.0 + 0.0*I)
+DEAL::a*b: (2.0 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::symbolic a/b: (0.5 + 0.0*I)*a
+DEAL::a/symbolic b: (1.0 + 0.0*I)/b
+DEAL::a/b: (1.0 + 0.0*I)*(0.5 + 0.0*I)
+DEAL::a/b: (0.5 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::symbolic a*b: (2.0 + 0.0*I)*a
+DEAL::a*symbolic b: (1.0 + 0.0*I)*b
+DEAL::a*b: (1.0 + 0.0*I)*(2.0 + 0.0*I)
+DEAL::a*b: (2.0 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::symbolic a/b: (0.5 + 0.0*I)*a
+DEAL::a/symbolic b: (1.0 + 0.0*I)/b
+DEAL::a/b: (1.0 + 0.0*I)*(0.5 + 0.0*I)
+DEAL::a/b: (0.5 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::symbolic a*b: (2.0 + 0.0*I)*a
+DEAL::a*symbolic b: (1.0 + 0.0*I)*b
+DEAL::a*b: (1.0 + 0.0*I)*(2.0 + 0.0*I)
+DEAL::a*b: (2.0 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::symbolic a/b: (0.5 + 0.0*I)*a
+DEAL::a/symbolic b: (1.0 + 0.0*I)/b
+DEAL::a/b: (1.0 + 0.0*I)*(0.5 + 0.0*I)
+DEAL::a/b: (0.5 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::symbolic a*b: (2.0 + 0.0*I)*a
+DEAL::a*symbolic b: (1.0 + 0.0*I)*b
+DEAL::a*b: (1.0 + 0.0*I)*(2.0 + 0.0*I)
+DEAL::a*b: (2.0 + 0.0*I)*(1.0 + 0.0*I)
+DEAL::OK
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