diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 2e2413343b6e7d684ecba986c5c899832f947eb6..ea0fcd2c6487d12d590b40027272f7d25dadf384 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -51,6 +51,10 @@ build-release-shared:
     - cmake .. -DCMAKE_BUILD_TYPE=Release -DTADAH_ENABLE_OPENMP=ON -DCMAKE_INSTALL_PREFIX=${INSTALL_PATH}
     - make -j ${CPU_BUILD}
     - make install
+  artifacts:
+    paths:
+      - $INSTALL_PATH
+
 
 build-release-static:
   stage: build.release
@@ -59,6 +63,9 @@ build-release-static:
     - cmake .. -DCMAKE_BUILD_TYPE=Release -DTADAH_ENABLE_OPENMP=ON -DBUILD_SHARED_LIBS=OFF -DCMAKE_INSTALL_PREFIX=${INSTALL_PATH}
     - make -j ${CPU_BUILD}
     - make install
+  artifacts:
+    paths:
+      - $INSTALL_PATH
 
 run-func-tests-shared:
   stage: run.functional.tests
@@ -109,3 +116,59 @@ build-example-2-shared:
   script:
     - cd ${RELEASE_DIR}/examples/ex_2
     - g++ -O3 ex2.cpp -ltadah -llapack -fopenmp
+
+run-example-1-static:
+  stage: run.examples
+  needs: [build-example-1-static]
+  script:
+    - cd ${RELEASE_DIR}/examples/ex_1
+    - ./a.out
+    - diff energy.pred EXPECTED_OUTPUT/energy.pred
+    - if  $? -ne 0 ]; then exit 1; fi
+    - diff stress.pred EXPECTED_OUTPUT/stress.pred
+    - if  $? -ne 0 ]; then exit 2; fi
+    - diff forces.pred EXPECTED_OUTPUT/forces.pred
+    - if  $? -ne 0 ]; then exit 3; fi
+    - echo "Success"
+
+run-example-2-static:
+  stage: run.examples
+  needs: [build-example-2-static]
+  script:
+    - cd ${RELEASE_DIR}/examples/ex_2
+    - ./a.out
+    - diff energy.pred EXPECTED_OUTPUT/energy.pred
+    - if  $? -ne 0 ]; then exit 1; fi
+    - diff stress.pred EXPECTED_OUTPUT/stress.pred
+    - if  $? -ne 0 ]; then exit 2; fi
+    - diff forces.pred EXPECTED_OUTPUT/forces.pred
+    - if  $? -ne 0 ]; then exit 3; fi
+    - echo "Success"
+
+run-example-1-shared:
+  stage: run.examples
+  needs: [build-example-1-shared]
+  script:
+    - cd ${RELEASE_DIR}/examples/ex_1
+    - ./a.out
+    - diff energy.pred EXPECTED_OUTPUT/energy.pred
+    - if  $? -ne 0 ]; then exit 1; fi
+    - diff stress.pred EXPECTED_OUTPUT/stress.pred
+    - if  $? -ne 0 ]; then exit 2; fi
+    - diff forces.pred EXPECTED_OUTPUT/forces.pred
+    - if  $? -ne 0 ]; then exit 3; fi
+    - echo "Success"
+
+run-example-2-shared:
+  stage: run.examples
+  needs: [build-example-2-shared]
+  script:
+    - cd ${RELEASE_DIR}/examples/ex_2
+    - ./a.out
+    - diff energy.pred EXPECTED_OUTPUT/energy.pred
+    - if  $? -ne 0 ]; then exit 1; fi
+    - diff stress.pred EXPECTED_OUTPUT/stress.pred
+    - if  $? -ne 0 ]; then exit 2; fi
+    - diff forces.pred EXPECTED_OUTPUT/forces.pred
+    - if  $? -ne 0 ]; then exit 3; fi
+    - echo "Success"
diff --git a/examples/ex_1/EXPECTED_OUTPUT/energy.pred b/examples/ex_1/EXPECTED_OUTPUT/energy.pred
new file mode 100644
index 0000000000000000000000000000000000000000..6aed58c51738c942c51b1e2d7a1b50679630fd16
--- /dev/null
+++ b/examples/ex_1/EXPECTED_OUTPUT/energy.pred
@@ -0,0 +1,10002 @@
+Index      True Energy      Pred Energy
+    0     -8.04620e+00     -8.05287e+00
+    1     -8.03821e+00     -8.03582e+00
+    2     -8.02021e+00     -8.00772e+00
+    3     -8.04117e+00     -8.03805e+00
+    4     -8.04088e+00     -8.04131e+00
+    5     -8.04237e+00     -8.04742e+00
+    6     -8.03478e+00     -8.02903e+00
+    7     -8.03845e+00     -8.03328e+00
+    8     -8.03356e+00     -8.02792e+00
+    9     -8.03650e+00     -8.03269e+00
+   10     -8.02384e+00     -8.01270e+00
+   11     -8.03000e+00     -8.02597e+00
+   12     -8.03323e+00     -8.02668e+00
+   13     -8.03690e+00     -8.03497e+00
+   14     -8.03372e+00     -8.02783e+00
+   15     -8.02725e+00     -8.01625e+00
+   16     -8.02377e+00     -8.01396e+00
+   17     -8.04191e+00     -8.04112e+00
+   18     -8.03929e+00     -8.04019e+00
+   19     -8.02898e+00     -8.02272e+00
+   20     -8.02018e+00     -8.00281e+00
+   21     -8.02646e+00     -8.01514e+00
+   22     -8.04156e+00     -8.04186e+00
+   23     -8.03942e+00     -8.03912e+00
+   24     -8.01906e+00     -8.00701e+00
+   25     -8.03279e+00     -8.02841e+00
+   26     -8.03325e+00     -8.02731e+00
+   27     -8.02196e+00     -8.01282e+00
+   28     -8.01571e+00     -8.00163e+00
+   29     -8.03816e+00     -8.03872e+00
+   30     -8.03431e+00     -8.03231e+00
+   31     -8.03682e+00     -8.03089e+00
+   32     -8.04084e+00     -8.03902e+00
+   33     -8.03020e+00     -8.02388e+00
+   34     -8.03065e+00     -8.02202e+00
+   35     -8.04287e+00     -8.04451e+00
+   36     -8.03278e+00     -8.02859e+00
+   37     -8.03471e+00     -8.03167e+00
+   38     -8.03751e+00     -8.03153e+00
+   39     -8.03140e+00     -8.02560e+00
+   40     -8.02940e+00     -8.02472e+00
+   41     -8.03311e+00     -8.02828e+00
+   42     -8.03617e+00     -8.03434e+00
+   43     -8.02368e+00     -8.01669e+00
+   44     -8.02643e+00     -8.01679e+00
+   45     -8.03413e+00     -8.02803e+00
+   46     -8.03793e+00     -8.03931e+00
+   47     -8.04392e+00     -8.04731e+00
+   48     -8.03931e+00     -8.04223e+00
+   49     -8.01929e+00     -8.00858e+00
+   50     -8.04226e+00     -8.04280e+00
+   51     -8.04190e+00     -8.04431e+00
+   52     -8.04251e+00     -8.04419e+00
+   53     -8.03374e+00     -8.02947e+00
+   54     -8.02878e+00     -8.02240e+00
+   55     -8.02283e+00     -8.00887e+00
+   56     -8.04598e+00     -8.04643e+00
+   57     -8.03527e+00     -8.03364e+00
+   58     -8.02281e+00     -8.01102e+00
+   59     -8.03410e+00     -8.02812e+00
+   60     -8.03361e+00     -8.02949e+00
+   61     -8.01855e+00     -8.00311e+00
+   62     -8.03629e+00     -8.03002e+00
+   63     -8.02924e+00     -8.02260e+00
+   64     -8.03610e+00     -8.03067e+00
+   65     -8.03545e+00     -8.03042e+00
+   66     -8.04319e+00     -8.04457e+00
+   67     -8.03586e+00     -8.03071e+00
+   68     -8.04436e+00     -8.04814e+00
+   69     -8.02402e+00     -8.01331e+00
+   70     -8.02919e+00     -8.02001e+00
+   71     -8.03799e+00     -8.03609e+00
+   72     -8.04469e+00     -8.05129e+00
+   73     -8.03323e+00     -8.02500e+00
+   74     -8.02701e+00     -8.01309e+00
+   75     -8.03273e+00     -8.02562e+00
+   76     -8.03957e+00     -8.03691e+00
+   77     -8.03256e+00     -8.02626e+00
+   78     -8.02824e+00     -8.02319e+00
+   79     -8.01990e+00     -8.00010e+00
+   80     -8.02600e+00     -8.01518e+00
+   81     -8.02750e+00     -8.01637e+00
+   82     -8.04402e+00     -8.04549e+00
+   83     -8.04852e+00     -8.05305e+00
+   84     -8.03186e+00     -8.02622e+00
+   85     -8.03589e+00     -8.02679e+00
+   86     -8.03974e+00     -8.03549e+00
+   87     -8.03699e+00     -8.03552e+00
+   88     -8.03571e+00     -8.03302e+00
+   89     -8.02595e+00     -8.01709e+00
+   90     -8.03038e+00     -8.02263e+00
+   91     -8.04214e+00     -8.04197e+00
+   92     -8.03058e+00     -8.02403e+00
+   93     -8.03121e+00     -8.02837e+00
+   94     -8.03462e+00     -8.02906e+00
+   95     -8.05107e+00     -8.05401e+00
+   96     -8.04152e+00     -8.03847e+00
+   97     -8.03284e+00     -8.02780e+00
+   98     -8.03679e+00     -8.03613e+00
+   99     -8.03718e+00     -8.03727e+00
+  100     -8.03288e+00     -8.02948e+00
+  101     -8.02005e+00     -8.00377e+00
+  102     -8.01816e+00     -8.00156e+00
+  103     -8.03643e+00     -8.04008e+00
+  104     -8.02893e+00     -8.02223e+00
+  105     -8.02734e+00     -8.01334e+00
+  106     -8.03560e+00     -8.03275e+00
+  107     -8.03776e+00     -8.03894e+00
+  108     -8.03478e+00     -8.03277e+00
+  109     -8.02968e+00     -8.02845e+00
+  110     -8.03751e+00     -8.03909e+00
+  111     -8.03116e+00     -8.02539e+00
+  112     -8.03563e+00     -8.03056e+00
+  113     -8.03727e+00     -8.03634e+00
+  114     -8.02784e+00     -8.02244e+00
+  115     -8.03681e+00     -8.03278e+00
+  116     -8.03558e+00     -8.02888e+00
+  117     -8.02399e+00     -8.01507e+00
+  118     -8.02748e+00     -8.01934e+00
+  119     -8.02724e+00     -8.01947e+00
+  120     -8.04065e+00     -8.04117e+00
+  121     -8.03467e+00     -8.03168e+00
+  122     -8.02863e+00     -8.01941e+00
+  123     -8.01803e+00     -8.00292e+00
+  124     -8.02730e+00     -8.01995e+00
+  125     -8.03271e+00     -8.02616e+00
+  126     -8.03856e+00     -8.03590e+00
+  127     -8.03086e+00     -8.02366e+00
+  128     -8.03269e+00     -8.03038e+00
+  129     -8.04095e+00     -8.03956e+00
+  130     -8.03685e+00     -8.03428e+00
+  131     -8.02994e+00     -8.02284e+00
+  132     -8.03824e+00     -8.03676e+00
+  133     -8.03149e+00     -8.02796e+00
+  134     -8.04412e+00     -8.04675e+00
+  135     -8.03802e+00     -8.03637e+00
+  136     -8.03208e+00     -8.02721e+00
+  137     -8.03380e+00     -8.03108e+00
+  138     -8.04150e+00     -8.04265e+00
+  139     -8.04506e+00     -8.05076e+00
+  140     -8.04330e+00     -8.04488e+00
+  141     -8.02991e+00     -8.02224e+00
+  142     -8.03251e+00     -8.02516e+00
+  143     -8.02430e+00     -8.01398e+00
+  144     -8.03586e+00     -8.03352e+00
+  145     -8.02812e+00     -8.01884e+00
+  146     -8.02430e+00     -8.00920e+00
+  147     -8.02133e+00     -8.00997e+00
+  148     -8.02439e+00     -8.00961e+00
+  149     -8.03901e+00     -8.03794e+00
+  150     -8.02770e+00     -8.01849e+00
+  151     -8.02666e+00     -8.01610e+00
+  152     -8.03615e+00     -8.02984e+00
+  153     -8.03385e+00     -8.02808e+00
+  154     -8.03553e+00     -8.03064e+00
+  155     -8.02945e+00     -8.01920e+00
+  156     -8.03703e+00     -8.03304e+00
+  157     -8.03399e+00     -8.03123e+00
+  158     -8.04299e+00     -8.04214e+00
+  159     -8.03734e+00     -8.03742e+00
+  160     -8.02015e+00     -8.00615e+00
+  161     -8.03903e+00     -8.03810e+00
+  162     -8.04291e+00     -8.04359e+00
+  163     -8.03936e+00     -8.04017e+00
+  164     -8.03821e+00     -8.03852e+00
+  165     -8.02314e+00     -8.01040e+00
+  166     -8.03027e+00     -8.02463e+00
+  167     -8.03473e+00     -8.03422e+00
+  168     -8.04400e+00     -8.04713e+00
+  169     -8.02532e+00     -8.01519e+00
+  170     -8.03321e+00     -8.02836e+00
+  171     -8.04309e+00     -8.04559e+00
+  172     -8.03436e+00     -8.03019e+00
+  173     -8.01506e+00     -7.99955e+00
+  174     -8.03771e+00     -8.03799e+00
+  175     -8.03368e+00     -8.02667e+00
+  176     -8.04531e+00     -8.04631e+00
+  177     -8.03657e+00     -8.03304e+00
+  178     -8.02801e+00     -8.01994e+00
+  179     -8.02721e+00     -8.01712e+00
+  180     -8.03503e+00     -8.02874e+00
+  181     -8.03655e+00     -8.03360e+00
+  182     -8.03073e+00     -8.02136e+00
+  183     -8.01716e+00     -8.00238e+00
+  184     -8.02576e+00     -8.01862e+00
+  185     -8.03087e+00     -8.02161e+00
+  186     -8.04387e+00     -8.04207e+00
+  187     -8.02938e+00     -8.01803e+00
+  188     -8.03218e+00     -8.02762e+00
+  189     -8.03714e+00     -8.03611e+00
+  190     -8.03937e+00     -8.03531e+00
+  191     -8.03660e+00     -8.03056e+00
+  192     -8.03759e+00     -8.03530e+00
+  193     -8.03215e+00     -8.02958e+00
+  194     -8.04084e+00     -8.04377e+00
+  195     -8.03434e+00     -8.02719e+00
+  196     -8.03732e+00     -8.03170e+00
+  197     -8.04451e+00     -8.04858e+00
+  198     -8.03723e+00     -8.03328e+00
+  199     -8.03286e+00     -8.02801e+00
+  200     -8.02528e+00     -8.01438e+00
+  201     -8.04227e+00     -8.04008e+00
+  202     -8.04824e+00     -8.04922e+00
+  203     -8.02402e+00     -8.01235e+00
+  204     -8.02964e+00     -8.02620e+00
+  205     -8.02372e+00     -8.01289e+00
+  206     -8.02672e+00     -8.01298e+00
+  207     -8.04467e+00     -8.04792e+00
+  208     -8.04614e+00     -8.04751e+00
+  209     -8.03719e+00     -8.03171e+00
+  210     -8.02680e+00     -8.01824e+00
+  211     -8.04057e+00     -8.03786e+00
+  212     -8.05202e+00     -8.05415e+00
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+  214     -8.03138e+00     -8.02523e+00
+  215     -8.04260e+00     -8.04059e+00
+  216     -8.03521e+00     -8.03149e+00
+  217     -8.03440e+00     -8.02762e+00
+  218     -8.01875e+00     -8.00446e+00
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+  220     -8.03080e+00     -8.02121e+00
+  221     -8.03036e+00     -8.02383e+00
+  222     -8.02805e+00     -8.02046e+00
+  223     -8.03655e+00     -8.03245e+00
+  224     -8.03560e+00     -8.03105e+00
+  225     -8.03754e+00     -8.03340e+00
+  226     -8.03441e+00     -8.02662e+00
+  227     -8.02695e+00     -8.01681e+00
+  228     -8.03957e+00     -8.04067e+00
+  229     -8.04342e+00     -8.04219e+00
+  230     -8.02060e+00     -8.00644e+00
+  231     -8.02791e+00     -8.01798e+00
+  232     -8.03652e+00     -8.03484e+00
+  233     -8.04050e+00     -8.04196e+00
+  234     -8.02258e+00     -8.01372e+00
+  235     -8.02714e+00     -8.01668e+00
+  236     -8.03333e+00     -8.03109e+00
+  237     -8.04227e+00     -8.04607e+00
+  238     -8.04106e+00     -8.04107e+00
+  239     -8.03696e+00     -8.03572e+00
+  240     -8.04472e+00     -8.04900e+00
+  241     -8.04060e+00     -8.04047e+00
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+  245     -8.02620e+00     -8.02183e+00
+  246     -8.01677e+00     -8.00157e+00
+  247     -8.02299e+00     -8.01413e+00
+  248     -8.03012e+00     -8.02305e+00
+  249     -8.03158e+00     -8.02418e+00
+  250     -8.00492e+00     -7.98056e+00
+  251     -8.03903e+00     -8.03348e+00
+  252     -8.04197e+00     -8.04103e+00
+  253     -8.02868e+00     -8.02077e+00
+  254     -8.01992e+00     -8.00494e+00
+  255     -8.03935e+00     -8.03718e+00
+  256     -8.03880e+00     -8.03907e+00
+  257     -8.02956e+00     -8.02629e+00
+  258     -8.03320e+00     -8.02299e+00
+  259     -8.03398e+00     -8.02570e+00
+  260     -8.03534e+00     -8.03290e+00
+  261     -8.02875e+00     -8.01905e+00
+  262     -8.01029e+00     -7.98699e+00
+  263     -8.03462e+00     -8.02958e+00
+  264     -8.03712e+00     -8.03372e+00
+  265     -8.03647e+00     -8.03696e+00
+  266     -8.02654e+00     -8.01802e+00
+  267     -8.04395e+00     -8.04685e+00
+  268     -8.04233e+00     -8.04537e+00
+  269     -8.04809e+00     -8.05228e+00
+  270     -8.02636e+00     -8.01789e+00
+  271     -8.02651e+00     -8.02417e+00
+  272     -8.03260e+00     -8.02555e+00
+  273     -8.03699e+00     -8.03396e+00
+  274     -8.02409e+00     -8.01009e+00
+  275     -8.02322e+00     -8.01027e+00
+  276     -8.02867e+00     -8.02141e+00
+  277     -8.02338e+00     -8.01300e+00
+  278     -8.03002e+00     -8.01922e+00
+  279     -8.01423e+00     -7.99283e+00
+  280     -8.02317e+00     -8.01066e+00
+  281     -8.03644e+00     -8.03885e+00
+  282     -8.03844e+00     -8.03830e+00
+  283     -8.03149e+00     -8.02455e+00
+  284     -8.04771e+00     -8.05138e+00
+  285     -8.04276e+00     -8.04526e+00
+  286     -8.03846e+00     -8.03824e+00
+  287     -8.03345e+00     -8.03393e+00
+  288     -8.02667e+00     -8.01687e+00
+  289     -8.03868e+00     -8.03624e+00
+  290     -8.03652e+00     -8.03116e+00
+  291     -8.02726e+00     -8.02465e+00
+  292     -8.02979e+00     -8.02653e+00
+  293     -8.04297e+00     -8.04388e+00
+  294     -8.04692e+00     -8.05084e+00
+  295     -8.03280e+00     -8.02665e+00
+  296     -8.03213e+00     -8.02565e+00
+  297     -8.03808e+00     -8.03916e+00
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diff --git a/examples/ex_1/EXPECTED_OUTPUT/forces.pred b/examples/ex_1/EXPECTED_OUTPUT/forces.pred
new file mode 100644
index 0000000000000000000000000000000000000000..569a25bd26c1fe370df4c4b90d0a01d25375b5c6
Binary files /dev/null and b/examples/ex_1/EXPECTED_OUTPUT/forces.pred differ
diff --git a/examples/ex_1/EXPECTED_OUTPUT/stress.pred b/examples/ex_1/EXPECTED_OUTPUT/stress.pred
new file mode 100644
index 0000000000000000000000000000000000000000..5229e3162871204d32f8a7c13dedbc1a164f9b4e
--- /dev/null
+++ b/examples/ex_1/EXPECTED_OUTPUT/stress.pred
@@ -0,0 +1,60007 @@
+Index      True Stress      Pred Stress
+    0      1.62047e+01      1.60248e+01
+    1      5.13843e-01      3.24406e-01
+    2     -4.13741e-01     -5.44609e-01
+    3      1.76650e+01      1.80942e+01
+    4      1.33194e-01      2.54728e-01
+    5      1.67776e+01      1.64985e+01
+    6      1.54901e+01      1.46523e+01
+    7      1.22029e-01     -7.27273e-02
+    8      1.94236e-01      1.91726e-01
+    9      1.74488e+01      1.80250e+01
+   10      5.61139e-01      7.92776e-01
+   11      1.52010e+01      1.43612e+01
+   12      1.40249e+01      1.28862e+01
+   13      5.08300e-01      1.19864e+00
+   14     -1.25160e-01     -1.91918e-01
+   15      1.73524e+01      1.84991e+01
+   16      5.32496e-01     -1.21914e-01
+   17      1.48136e+01      1.47373e+01
+   18      1.67745e+01      1.62612e+01
+   19     -7.50136e-01     -5.13542e-01
+   20     -5.32000e-02      7.26540e-02
+   21      1.71805e+01      1.71979e+01
+   22      3.52950e-02      2.88347e-01
+   23      1.59020e+01      1.55164e+01
+   24      1.55054e+01      1.50520e+01
+   25      3.86693e-01      9.47126e-01
+   26     -2.80244e-01     -2.71879e-01
+   27      1.70540e+01      1.67025e+01
+   28      3.22433e-01      2.31257e-01
+   29      1.64041e+01      1.61947e+01
+   30      1.57138e+01      1.49788e+01
+   31      4.01191e-01      1.09057e-01
+   32      3.20347e-01      6.23764e-01
+   33      1.75213e+01      1.77817e+01
+   34     -4.27637e-01     -5.81587e-01
+   35      1.65772e+01      1.61635e+01
+   36      1.54130e+01      1.54966e+01
+   37      3.84910e-01      5.67005e-02
+   38      1.52297e-01     -9.20545e-02
+   39      1.61844e+01      1.68616e+01
+   40      5.24619e-01      1.23861e+00
+   41      1.67856e+01      1.73419e+01
+   42      1.54133e+01      1.46423e+01
+   43      2.00648e-01      2.33158e-01
+   44      1.53850e-02     -3.87851e-01
+   45      1.64272e+01      1.60322e+01
+   46      1.76046e-01      4.28534e-01
+   47      1.66855e+01      1.63491e+01
+   48      1.57531e+01      1.52847e+01
+   49      1.69901e-01      7.28579e-01
+   50      6.11952e-01      2.19783e-01
+   51      1.56686e+01      1.49708e+01
+   52     -4.69842e-01     -7.42354e-01
+   53      1.69618e+01      1.76085e+01
+   54      1.68535e+01      1.69816e+01
+   55      7.50214e-01      6.96567e-01
+   56      6.86869e-01      3.98662e-01
+   57      1.64543e+01      1.60033e+01
+   58     -1.54386e-01     -1.43927e-01
+   59      1.71238e+01      1.73231e+01
+   60      1.54378e+01      1.56071e+01
+   61      2.26626e-01      2.11945e-01
+   62      5.90831e-01      3.96232e-01
+   63      1.63538e+01      1.64045e+01
+   64     -6.13934e-01     -4.56930e-01
+   65      1.77019e+01      1.84766e+01
+   66      1.55235e+01      1.54587e+01
+   67     -3.03010e-02     -5.00029e-01
+   68      3.08132e-01     -5.76155e-01
+   69      1.61246e+01      1.64697e+01
+   70      3.58051e-01      1.71447e+00
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+   91      8.33780e-02     -9.49664e-01
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+   93      1.53897e+01      1.51007e+01
+   94     -8.28530e-02     -4.03923e-01
+   95      1.55476e+01      1.56354e+01
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+   99      1.51995e+01      1.54100e+01
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+  104      2.10913e-01     -1.75248e-01
+  105      1.68420e+01      1.68491e+01
+  106     -4.38006e-01      9.84465e-02
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+  116      4.35308e-01      9.52159e-01
+  117      1.58273e+01      1.56789e+01
+  118     -2.53253e-01     -2.37719e-01
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+  120      1.65778e+01      1.78176e+01
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+  122      8.20130e-02      8.60031e-01
+  123      1.55332e+01      1.60717e+01
+  124     -1.39247e-01      2.92307e-01
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+  126      1.63976e+01      1.67964e+01
+  127      6.49334e-01      2.98146e-01
+  128     -3.55097e-01      1.47893e-02
+  129      1.49097e+01      1.40934e+01
+  130     -4.61748e-01     -9.71791e-02
+  131      1.52928e+01      1.47964e+01
+  132      1.75302e+01      1.80962e+01
+  133     -3.07090e-02     -4.58050e-01
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+  135      1.57927e+01      1.49443e+01
+  136     -3.87052e-01     -7.77768e-01
+  137      1.59694e+01      1.52680e+01
+  138      1.71010e+01      1.76573e+01
+  139     -8.14300e-03     -5.52389e-01
+  140      1.26551e-01      9.55384e-02
+  141      1.64517e+01      1.63385e+01
+  142     -3.32726e-01     -1.39692e-01
+  143      1.56131e+01      1.52368e+01
+  144      1.61527e+01      1.71272e+01
+  145      7.05805e-01      3.93770e-01
+  146      1.05073e+00      2.03589e+00
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+  191      1.56380e+01      1.53463e+01
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+  193      2.43578e-01      5.94359e-01
+  194     -1.13873e-01     -3.25982e-01
+  195      1.55824e+01      1.49377e+01
+  196      3.32044e-01      6.35079e-01
+  197      1.65170e+01      1.58262e+01
+  198      1.62668e+01      1.81352e+01
+  199     -2.67356e-01      1.80332e-01
+  200      4.48500e-02      5.00553e-01
+  201      1.52239e+01      1.48525e+01
+  202     -1.07051e-01      2.14512e-01
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+  208     -8.61327e-01     -5.21710e-01
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+60000      1.55188e+01      1.52472e+01
+60001      6.48949e-01      5.18804e-01
+60002     -3.80939e-01     -8.47150e-01
+60003      1.60023e+01      1.65570e+01
+60004      8.07030e-02      3.11774e-01
+60005      1.48428e+01      1.47675e+01
diff --git a/examples/ex_2/EXPECTED_OUTPUT/energy.pred b/examples/ex_2/EXPECTED_OUTPUT/energy.pred
new file mode 100644
index 0000000000000000000000000000000000000000..6aed58c51738c942c51b1e2d7a1b50679630fd16
--- /dev/null
+++ b/examples/ex_2/EXPECTED_OUTPUT/energy.pred
@@ -0,0 +1,10002 @@
+Index      True Energy      Pred Energy
+    0     -8.04620e+00     -8.05287e+00
+    1     -8.03821e+00     -8.03582e+00
+    2     -8.02021e+00     -8.00772e+00
+    3     -8.04117e+00     -8.03805e+00
+    4     -8.04088e+00     -8.04131e+00
+    5     -8.04237e+00     -8.04742e+00
+    6     -8.03478e+00     -8.02903e+00
+    7     -8.03845e+00     -8.03328e+00
+    8     -8.03356e+00     -8.02792e+00
+    9     -8.03650e+00     -8.03269e+00
+   10     -8.02384e+00     -8.01270e+00
+   11     -8.03000e+00     -8.02597e+00
+   12     -8.03323e+00     -8.02668e+00
+   13     -8.03690e+00     -8.03497e+00
+   14     -8.03372e+00     -8.02783e+00
+   15     -8.02725e+00     -8.01625e+00
+   16     -8.02377e+00     -8.01396e+00
+   17     -8.04191e+00     -8.04112e+00
+   18     -8.03929e+00     -8.04019e+00
+   19     -8.02898e+00     -8.02272e+00
+   20     -8.02018e+00     -8.00281e+00
+   21     -8.02646e+00     -8.01514e+00
+   22     -8.04156e+00     -8.04186e+00
+   23     -8.03942e+00     -8.03912e+00
+   24     -8.01906e+00     -8.00701e+00
+   25     -8.03279e+00     -8.02841e+00
+   26     -8.03325e+00     -8.02731e+00
+   27     -8.02196e+00     -8.01282e+00
+   28     -8.01571e+00     -8.00163e+00
+   29     -8.03816e+00     -8.03872e+00
+   30     -8.03431e+00     -8.03231e+00
+   31     -8.03682e+00     -8.03089e+00
+   32     -8.04084e+00     -8.03902e+00
+   33     -8.03020e+00     -8.02388e+00
+   34     -8.03065e+00     -8.02202e+00
+   35     -8.04287e+00     -8.04451e+00
+   36     -8.03278e+00     -8.02859e+00
+   37     -8.03471e+00     -8.03167e+00
+   38     -8.03751e+00     -8.03153e+00
+   39     -8.03140e+00     -8.02560e+00
+   40     -8.02940e+00     -8.02472e+00
+   41     -8.03311e+00     -8.02828e+00
+   42     -8.03617e+00     -8.03434e+00
+   43     -8.02368e+00     -8.01669e+00
+   44     -8.02643e+00     -8.01679e+00
+   45     -8.03413e+00     -8.02803e+00
+   46     -8.03793e+00     -8.03931e+00
+   47     -8.04392e+00     -8.04731e+00
+   48     -8.03931e+00     -8.04223e+00
+   49     -8.01929e+00     -8.00858e+00
+   50     -8.04226e+00     -8.04280e+00
+   51     -8.04190e+00     -8.04431e+00
+   52     -8.04251e+00     -8.04419e+00
+   53     -8.03374e+00     -8.02947e+00
+   54     -8.02878e+00     -8.02240e+00
+   55     -8.02283e+00     -8.00887e+00
+   56     -8.04598e+00     -8.04643e+00
+   57     -8.03527e+00     -8.03364e+00
+   58     -8.02281e+00     -8.01102e+00
+   59     -8.03410e+00     -8.02812e+00
+   60     -8.03361e+00     -8.02949e+00
+   61     -8.01855e+00     -8.00311e+00
+   62     -8.03629e+00     -8.03002e+00
+   63     -8.02924e+00     -8.02260e+00
+   64     -8.03610e+00     -8.03067e+00
+   65     -8.03545e+00     -8.03042e+00
+   66     -8.04319e+00     -8.04457e+00
+   67     -8.03586e+00     -8.03071e+00
+   68     -8.04436e+00     -8.04814e+00
+   69     -8.02402e+00     -8.01331e+00
+   70     -8.02919e+00     -8.02001e+00
+   71     -8.03799e+00     -8.03609e+00
+   72     -8.04469e+00     -8.05129e+00
+   73     -8.03323e+00     -8.02500e+00
+   74     -8.02701e+00     -8.01309e+00
+   75     -8.03273e+00     -8.02562e+00
+   76     -8.03957e+00     -8.03691e+00
+   77     -8.03256e+00     -8.02626e+00
+   78     -8.02824e+00     -8.02319e+00
+   79     -8.01990e+00     -8.00010e+00
+   80     -8.02600e+00     -8.01518e+00
+   81     -8.02750e+00     -8.01637e+00
+   82     -8.04402e+00     -8.04549e+00
+   83     -8.04852e+00     -8.05305e+00
+   84     -8.03186e+00     -8.02622e+00
+   85     -8.03589e+00     -8.02679e+00
+   86     -8.03974e+00     -8.03549e+00
+   87     -8.03699e+00     -8.03552e+00
+   88     -8.03571e+00     -8.03302e+00
+   89     -8.02595e+00     -8.01709e+00
+   90     -8.03038e+00     -8.02263e+00
+   91     -8.04214e+00     -8.04197e+00
+   92     -8.03058e+00     -8.02403e+00
+   93     -8.03121e+00     -8.02837e+00
+   94     -8.03462e+00     -8.02906e+00
+   95     -8.05107e+00     -8.05401e+00
+   96     -8.04152e+00     -8.03847e+00
+   97     -8.03284e+00     -8.02780e+00
+   98     -8.03679e+00     -8.03613e+00
+   99     -8.03718e+00     -8.03727e+00
+  100     -8.03288e+00     -8.02948e+00
+  101     -8.02005e+00     -8.00377e+00
+  102     -8.01816e+00     -8.00156e+00
+  103     -8.03643e+00     -8.04008e+00
+  104     -8.02893e+00     -8.02223e+00
+  105     -8.02734e+00     -8.01334e+00
+  106     -8.03560e+00     -8.03275e+00
+  107     -8.03776e+00     -8.03894e+00
+  108     -8.03478e+00     -8.03277e+00
+  109     -8.02968e+00     -8.02845e+00
+  110     -8.03751e+00     -8.03909e+00
+  111     -8.03116e+00     -8.02539e+00
+  112     -8.03563e+00     -8.03056e+00
+  113     -8.03727e+00     -8.03634e+00
+  114     -8.02784e+00     -8.02244e+00
+  115     -8.03681e+00     -8.03278e+00
+  116     -8.03558e+00     -8.02888e+00
+  117     -8.02399e+00     -8.01507e+00
+  118     -8.02748e+00     -8.01934e+00
+  119     -8.02724e+00     -8.01947e+00
+  120     -8.04065e+00     -8.04117e+00
+  121     -8.03467e+00     -8.03168e+00
+  122     -8.02863e+00     -8.01941e+00
+  123     -8.01803e+00     -8.00292e+00
+  124     -8.02730e+00     -8.01995e+00
+  125     -8.03271e+00     -8.02616e+00
+  126     -8.03856e+00     -8.03590e+00
+  127     -8.03086e+00     -8.02366e+00
+  128     -8.03269e+00     -8.03038e+00
+  129     -8.04095e+00     -8.03956e+00
+  130     -8.03685e+00     -8.03428e+00
+  131     -8.02994e+00     -8.02284e+00
+  132     -8.03824e+00     -8.03676e+00
+  133     -8.03149e+00     -8.02796e+00
+  134     -8.04412e+00     -8.04675e+00
+  135     -8.03802e+00     -8.03637e+00
+  136     -8.03208e+00     -8.02721e+00
+  137     -8.03380e+00     -8.03108e+00
+  138     -8.04150e+00     -8.04265e+00
+  139     -8.04506e+00     -8.05076e+00
+  140     -8.04330e+00     -8.04488e+00
+  141     -8.02991e+00     -8.02224e+00
+  142     -8.03251e+00     -8.02516e+00
+  143     -8.02430e+00     -8.01398e+00
+  144     -8.03586e+00     -8.03352e+00
+  145     -8.02812e+00     -8.01884e+00
+  146     -8.02430e+00     -8.00920e+00
+  147     -8.02133e+00     -8.00997e+00
+  148     -8.02439e+00     -8.00961e+00
+  149     -8.03901e+00     -8.03794e+00
+  150     -8.02770e+00     -8.01849e+00
+  151     -8.02666e+00     -8.01610e+00
+  152     -8.03615e+00     -8.02984e+00
+  153     -8.03385e+00     -8.02808e+00
+  154     -8.03553e+00     -8.03064e+00
+  155     -8.02945e+00     -8.01920e+00
+  156     -8.03703e+00     -8.03304e+00
+  157     -8.03399e+00     -8.03123e+00
+  158     -8.04299e+00     -8.04214e+00
+  159     -8.03734e+00     -8.03742e+00
+  160     -8.02015e+00     -8.00615e+00
+  161     -8.03903e+00     -8.03810e+00
+  162     -8.04291e+00     -8.04359e+00
+  163     -8.03936e+00     -8.04017e+00
+  164     -8.03821e+00     -8.03852e+00
+  165     -8.02314e+00     -8.01040e+00
+  166     -8.03027e+00     -8.02463e+00
+  167     -8.03473e+00     -8.03422e+00
+  168     -8.04400e+00     -8.04713e+00
+  169     -8.02532e+00     -8.01519e+00
+  170     -8.03321e+00     -8.02836e+00
+  171     -8.04309e+00     -8.04559e+00
+  172     -8.03436e+00     -8.03019e+00
+  173     -8.01506e+00     -7.99955e+00
+  174     -8.03771e+00     -8.03799e+00
+  175     -8.03368e+00     -8.02667e+00
+  176     -8.04531e+00     -8.04631e+00
+  177     -8.03657e+00     -8.03304e+00
+  178     -8.02801e+00     -8.01994e+00
+  179     -8.02721e+00     -8.01712e+00
+  180     -8.03503e+00     -8.02874e+00
+  181     -8.03655e+00     -8.03360e+00
+  182     -8.03073e+00     -8.02136e+00
+  183     -8.01716e+00     -8.00238e+00
+  184     -8.02576e+00     -8.01862e+00
+  185     -8.03087e+00     -8.02161e+00
+  186     -8.04387e+00     -8.04207e+00
+  187     -8.02938e+00     -8.01803e+00
+  188     -8.03218e+00     -8.02762e+00
+  189     -8.03714e+00     -8.03611e+00
+  190     -8.03937e+00     -8.03531e+00
+  191     -8.03660e+00     -8.03056e+00
+  192     -8.03759e+00     -8.03530e+00
+  193     -8.03215e+00     -8.02958e+00
+  194     -8.04084e+00     -8.04377e+00
+  195     -8.03434e+00     -8.02719e+00
+  196     -8.03732e+00     -8.03170e+00
+  197     -8.04451e+00     -8.04858e+00
+  198     -8.03723e+00     -8.03328e+00
+  199     -8.03286e+00     -8.02801e+00
+  200     -8.02528e+00     -8.01438e+00
+  201     -8.04227e+00     -8.04008e+00
+  202     -8.04824e+00     -8.04922e+00
+  203     -8.02402e+00     -8.01235e+00
+  204     -8.02964e+00     -8.02620e+00
+  205     -8.02372e+00     -8.01289e+00
+  206     -8.02672e+00     -8.01298e+00
+  207     -8.04467e+00     -8.04792e+00
+  208     -8.04614e+00     -8.04751e+00
+  209     -8.03719e+00     -8.03171e+00
+  210     -8.02680e+00     -8.01824e+00
+  211     -8.04057e+00     -8.03786e+00
+  212     -8.05202e+00     -8.05415e+00
+  213     -8.03736e+00     -8.03550e+00
+  214     -8.03138e+00     -8.02523e+00
+  215     -8.04260e+00     -8.04059e+00
+  216     -8.03521e+00     -8.03149e+00
+  217     -8.03440e+00     -8.02762e+00
+  218     -8.01875e+00     -8.00446e+00
+  219     -8.02597e+00     -8.01478e+00
+  220     -8.03080e+00     -8.02121e+00
+  221     -8.03036e+00     -8.02383e+00
+  222     -8.02805e+00     -8.02046e+00
+  223     -8.03655e+00     -8.03245e+00
+  224     -8.03560e+00     -8.03105e+00
+  225     -8.03754e+00     -8.03340e+00
+  226     -8.03441e+00     -8.02662e+00
+  227     -8.02695e+00     -8.01681e+00
+  228     -8.03957e+00     -8.04067e+00
+  229     -8.04342e+00     -8.04219e+00
+  230     -8.02060e+00     -8.00644e+00
+  231     -8.02791e+00     -8.01798e+00
+  232     -8.03652e+00     -8.03484e+00
+  233     -8.04050e+00     -8.04196e+00
+  234     -8.02258e+00     -8.01372e+00
+  235     -8.02714e+00     -8.01668e+00
+  236     -8.03333e+00     -8.03109e+00
+  237     -8.04227e+00     -8.04607e+00
+  238     -8.04106e+00     -8.04107e+00
+  239     -8.03696e+00     -8.03572e+00
+  240     -8.04472e+00     -8.04900e+00
+  241     -8.04060e+00     -8.04047e+00
+  242     -8.03198e+00     -8.02538e+00
+  243     -8.02930e+00     -8.02342e+00
+  244     -8.02810e+00     -8.02458e+00
+  245     -8.02620e+00     -8.02183e+00
+  246     -8.01677e+00     -8.00157e+00
+  247     -8.02299e+00     -8.01413e+00
+  248     -8.03012e+00     -8.02305e+00
+  249     -8.03158e+00     -8.02418e+00
+  250     -8.00492e+00     -7.98056e+00
+  251     -8.03903e+00     -8.03348e+00
+  252     -8.04197e+00     -8.04103e+00
+  253     -8.02868e+00     -8.02077e+00
+  254     -8.01992e+00     -8.00494e+00
+  255     -8.03935e+00     -8.03718e+00
+  256     -8.03880e+00     -8.03907e+00
+  257     -8.02956e+00     -8.02629e+00
+  258     -8.03320e+00     -8.02299e+00
+  259     -8.03398e+00     -8.02570e+00
+  260     -8.03534e+00     -8.03290e+00
+  261     -8.02875e+00     -8.01905e+00
+  262     -8.01029e+00     -7.98699e+00
+  263     -8.03462e+00     -8.02958e+00
+  264     -8.03712e+00     -8.03372e+00
+  265     -8.03647e+00     -8.03696e+00
+  266     -8.02654e+00     -8.01802e+00
+  267     -8.04395e+00     -8.04685e+00
+  268     -8.04233e+00     -8.04537e+00
+  269     -8.04809e+00     -8.05228e+00
+  270     -8.02636e+00     -8.01789e+00
+  271     -8.02651e+00     -8.02417e+00
+  272     -8.03260e+00     -8.02555e+00
+  273     -8.03699e+00     -8.03396e+00
+  274     -8.02409e+00     -8.01009e+00
+  275     -8.02322e+00     -8.01027e+00
+  276     -8.02867e+00     -8.02141e+00
+  277     -8.02338e+00     -8.01300e+00
+  278     -8.03002e+00     -8.01922e+00
+  279     -8.01423e+00     -7.99283e+00
+  280     -8.02317e+00     -8.01066e+00
+  281     -8.03644e+00     -8.03885e+00
+  282     -8.03844e+00     -8.03830e+00
+  283     -8.03149e+00     -8.02455e+00
+  284     -8.04771e+00     -8.05138e+00
+  285     -8.04276e+00     -8.04526e+00
+  286     -8.03846e+00     -8.03824e+00
+  287     -8.03345e+00     -8.03393e+00
+  288     -8.02667e+00     -8.01687e+00
+  289     -8.03868e+00     -8.03624e+00
+  290     -8.03652e+00     -8.03116e+00
+  291     -8.02726e+00     -8.02465e+00
+  292     -8.02979e+00     -8.02653e+00
+  293     -8.04297e+00     -8.04388e+00
+  294     -8.04692e+00     -8.05084e+00
+  295     -8.03280e+00     -8.02665e+00
+  296     -8.03213e+00     -8.02565e+00
+  297     -8.03808e+00     -8.03916e+00
+  298     -8.02673e+00     -8.01504e+00
+  299     -8.02378e+00     -8.01170e+00
+  300     -8.02112e+00     -8.00806e+00
+  301     -8.03639e+00     -8.03401e+00
+  302     -8.03425e+00     -8.02774e+00
+  303     -8.02935e+00     -8.01654e+00
+  304     -8.03039e+00     -8.02176e+00
+  305     -8.04458e+00     -8.04760e+00
+  306     -8.04023e+00     -8.04084e+00
+  307     -8.03199e+00     -8.02719e+00
+  308     -8.03359e+00     -8.02778e+00
+  309     -8.03549e+00     -8.03394e+00
+  310     -8.04111e+00     -8.04608e+00
+  311     -8.04800e+00     -8.05379e+00
+  312     -8.02503e+00     -8.01475e+00
+  313     -8.03794e+00     -8.03693e+00
+  314     -8.03663e+00     -8.03334e+00
+  315     -8.04103e+00     -8.04553e+00
+  316     -8.03553e+00     -8.03391e+00
+  317     -8.03300e+00     -8.02694e+00
+  318     -8.02227e+00     -8.01536e+00
+  319     -8.03474e+00     -8.02839e+00
+  320     -8.02971e+00     -8.02324e+00
+  321     -8.03055e+00     -8.02319e+00
+  322     -8.02161e+00     -8.00559e+00
+  323     -8.03574e+00     -8.03128e+00
+  324     -8.02780e+00     -8.01988e+00
+  325     -8.03845e+00     -8.03665e+00
+  326     -8.03745e+00     -8.03558e+00
+  327     -8.03967e+00     -8.03889e+00
+  328     -8.02907e+00     -8.02204e+00
+  329     -8.03969e+00     -8.03920e+00
+  330     -8.02587e+00     -8.01782e+00
+  331     -8.02884e+00     -8.02285e+00
+  332     -8.02358e+00     -8.00985e+00
+  333     -8.03825e+00     -8.03382e+00
+  334     -8.03844e+00     -8.03479e+00
+  335     -8.03225e+00     -8.02685e+00
+  336     -8.03091e+00     -8.02587e+00
+  337     -8.03952e+00     -8.03404e+00
+  338     -8.04282e+00     -8.04065e+00
+  339     -8.04652e+00     -8.05159e+00
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+ 9900     -8.03410e+00     -8.02460e+00
+ 9901     -8.03800e+00     -8.03756e+00
+ 9902     -8.03835e+00     -8.03903e+00
+ 9903     -8.03488e+00     -8.03024e+00
+ 9904     -8.03527e+00     -8.02932e+00
+ 9905     -8.04073e+00     -8.03801e+00
+ 9906     -8.04055e+00     -8.03934e+00
+ 9907     -8.03140e+00     -8.02429e+00
+ 9908     -8.03179e+00     -8.02223e+00
+ 9909     -8.04129e+00     -8.03722e+00
+ 9910     -8.03667e+00     -8.02842e+00
+ 9911     -8.02700e+00     -8.01329e+00
+ 9912     -8.02638e+00     -8.01583e+00
+ 9913     -8.03549e+00     -8.03079e+00
+ 9914     -8.03779e+00     -8.03160e+00
+ 9915     -8.02104e+00     -7.99905e+00
+ 9916     -8.02739e+00     -8.01780e+00
+ 9917     -8.04540e+00     -8.04734e+00
+ 9918     -8.02824e+00     -8.01704e+00
+ 9919     -8.04239e+00     -8.04235e+00
+ 9920     -8.01762e+00     -7.99412e+00
+ 9921     -8.03090e+00     -8.01586e+00
+ 9922     -8.03971e+00     -8.03865e+00
+ 9923     -8.02166e+00     -8.00493e+00
+ 9924     -8.03382e+00     -8.02457e+00
+ 9925     -8.04504e+00     -8.04168e+00
+ 9926     -8.03358e+00     -8.02226e+00
+ 9927     -8.03695e+00     -8.03150e+00
+ 9928     -8.02674e+00     -8.01828e+00
+ 9929     -8.03553e+00     -8.02800e+00
+ 9930     -8.03749e+00     -8.03149e+00
+ 9931     -8.02635e+00     -8.01132e+00
+ 9932     -8.02735e+00     -8.01778e+00
+ 9933     -8.03496e+00     -8.03075e+00
+ 9934     -8.03969e+00     -8.03606e+00
+ 9935     -8.01007e+00     -7.98624e+00
+ 9936     -8.04188e+00     -8.03966e+00
+ 9937     -8.03335e+00     -8.02673e+00
+ 9938     -8.02763e+00     -8.01833e+00
+ 9939     -8.02164e+00     -8.00946e+00
+ 9940     -8.03264e+00     -8.02333e+00
+ 9941     -8.04125e+00     -8.03932e+00
+ 9942     -8.03346e+00     -8.02202e+00
+ 9943     -8.02728e+00     -8.01423e+00
+ 9944     -8.04095e+00     -8.03718e+00
+ 9945     -8.03580e+00     -8.02964e+00
+ 9946     -8.03223e+00     -8.02359e+00
+ 9947     -8.02586e+00     -8.01697e+00
+ 9948     -8.03838e+00     -8.03383e+00
+ 9949     -8.03536e+00     -8.02940e+00
+ 9950     -8.02637e+00     -8.01848e+00
+ 9951     -8.03377e+00     -8.03086e+00
+ 9952     -8.03648e+00     -8.02875e+00
+ 9953     -8.04788e+00     -8.04821e+00
+ 9954     -8.04689e+00     -8.04802e+00
+ 9955     -8.04334e+00     -8.04062e+00
+ 9956     -8.02587e+00     -8.01206e+00
+ 9957     -8.03634e+00     -8.03019e+00
+ 9958     -8.04435e+00     -8.04344e+00
+ 9959     -8.03588e+00     -8.02968e+00
+ 9960     -8.02931e+00     -8.02324e+00
+ 9961     -8.03633e+00     -8.03100e+00
+ 9962     -8.03519e+00     -8.03062e+00
+ 9963     -8.03040e+00     -8.02138e+00
+ 9964     -8.03279e+00     -8.02451e+00
+ 9965     -8.03703e+00     -8.03149e+00
+ 9966     -8.04825e+00     -8.05201e+00
+ 9967     -8.03844e+00     -8.03537e+00
+ 9968     -8.03090e+00     -8.02057e+00
+ 9969     -8.02975e+00     -8.01863e+00
+ 9970     -8.03106e+00     -8.02564e+00
+ 9971     -8.03447e+00     -8.03065e+00
+ 9972     -8.03388e+00     -8.02781e+00
+ 9973     -8.02890e+00     -8.01858e+00
+ 9974     -8.03399e+00     -8.02718e+00
+ 9975     -8.03812e+00     -8.03369e+00
+ 9976     -8.03554e+00     -8.02933e+00
+ 9977     -8.03417e+00     -8.02901e+00
+ 9978     -8.04539e+00     -8.04889e+00
+ 9979     -8.03449e+00     -8.03129e+00
+ 9980     -8.02463e+00     -8.01501e+00
+ 9981     -8.02731e+00     -8.02002e+00
+ 9982     -8.03916e+00     -8.03931e+00
+ 9983     -8.04027e+00     -8.04001e+00
+ 9984     -8.03416e+00     -8.02849e+00
+ 9985     -8.03396e+00     -8.02941e+00
+ 9986     -8.02298e+00     -8.00892e+00
+ 9987     -8.04095e+00     -8.03954e+00
+ 9988     -8.04014e+00     -8.03891e+00
+ 9989     -8.03370e+00     -8.02948e+00
+ 9990     -8.02883e+00     -8.02046e+00
+ 9991     -8.02891e+00     -8.02183e+00
+ 9992     -8.03998e+00     -8.04103e+00
+ 9993     -8.02781e+00     -8.02251e+00
+ 9994     -8.03873e+00     -8.03866e+00
+ 9995     -8.02552e+00     -8.01796e+00
+ 9996     -8.03757e+00     -8.03177e+00
+ 9997     -8.03895e+00     -8.03825e+00
+ 9998     -8.04221e+00     -8.04497e+00
+ 9999     -8.03044e+00     -8.02208e+00
+10000     -8.03002e+00     -8.02184e+00
diff --git a/examples/ex_2/EXPECTED_OUTPUT/forces.pred b/examples/ex_2/EXPECTED_OUTPUT/forces.pred
new file mode 100644
index 0000000000000000000000000000000000000000..b89fc6863444e1b925fe0307249ae7fdd944e2da
Binary files /dev/null and b/examples/ex_2/EXPECTED_OUTPUT/forces.pred differ
diff --git a/examples/ex_2/EXPECTED_OUTPUT/stress.pred b/examples/ex_2/EXPECTED_OUTPUT/stress.pred
new file mode 100644
index 0000000000000000000000000000000000000000..ce16f48320743235d18ea600c37d7332923ffbc6
--- /dev/null
+++ b/examples/ex_2/EXPECTED_OUTPUT/stress.pred
@@ -0,0 +1,60007 @@
+Index      True Stress      Pred Stress
+    0      1.62047e+01      1.60248e+01
+    1      5.13843e-01      3.24406e-01
+    2     -4.13741e-01     -5.44609e-01
+    3      1.76650e+01      1.80942e+01
+    4      1.33194e-01      2.54728e-01
+    5      1.67776e+01      1.64985e+01
+    6      1.54901e+01      1.46523e+01
+    7      1.22029e-01     -7.27273e-02
+    8      1.94236e-01      1.91726e-01
+    9      1.74488e+01      1.80250e+01
+   10      5.61139e-01      7.92776e-01
+   11      1.52010e+01      1.43612e+01
+   12      1.40249e+01      1.28862e+01
+   13      5.08300e-01      1.19864e+00
+   14     -1.25160e-01     -1.91918e-01
+   15      1.73524e+01      1.84991e+01
+   16      5.32496e-01     -1.21914e-01
+   17      1.48136e+01      1.47373e+01
+   18      1.67745e+01      1.62612e+01
+   19     -7.50136e-01     -5.13542e-01
+   20     -5.32000e-02      7.26540e-02
+   21      1.71805e+01      1.71979e+01
+   22      3.52950e-02      2.88347e-01
+   23      1.59020e+01      1.55164e+01
+   24      1.55054e+01      1.50520e+01
+   25      3.86693e-01      9.47126e-01
+   26     -2.80244e-01     -2.71879e-01
+   27      1.70540e+01      1.67025e+01
+   28      3.22433e-01      2.31257e-01
+   29      1.64041e+01      1.61947e+01
+   30      1.57138e+01      1.49788e+01
+   31      4.01191e-01      1.09057e-01
+   32      3.20347e-01      6.23764e-01
+   33      1.75213e+01      1.77817e+01
+   34     -4.27637e-01     -5.81587e-01
+   35      1.65772e+01      1.61635e+01
+   36      1.54130e+01      1.54966e+01
+   37      3.84910e-01      5.67005e-02
+   38      1.52297e-01     -9.20545e-02
+   39      1.61844e+01      1.68616e+01
+   40      5.24619e-01      1.23861e+00
+   41      1.67856e+01      1.73419e+01
+   42      1.54133e+01      1.46423e+01
+   43      2.00648e-01      2.33158e-01
+   44      1.53850e-02     -3.87851e-01
+   45      1.64272e+01      1.60322e+01
+   46      1.76046e-01      4.28534e-01
+   47      1.66855e+01      1.63491e+01
+   48      1.57531e+01      1.52847e+01
+   49      1.69901e-01      7.28579e-01
+   50      6.11952e-01      2.19783e-01
+   51      1.56686e+01      1.49708e+01
+   52     -4.69842e-01     -7.42354e-01
+   53      1.69618e+01      1.76085e+01
+   54      1.68535e+01      1.69816e+01
+   55      7.50214e-01      6.96567e-01
+   56      6.86869e-01      3.98662e-01
+   57      1.64543e+01      1.60033e+01
+   58     -1.54386e-01     -1.43927e-01
+   59      1.71238e+01      1.73231e+01
+   60      1.54378e+01      1.56071e+01
+   61      2.26626e-01      2.11945e-01
+   62      5.90831e-01      3.96232e-01
+   63      1.63538e+01      1.64045e+01
+   64     -6.13934e-01     -4.56930e-01
+   65      1.77019e+01      1.84766e+01
+   66      1.55235e+01      1.54587e+01
+   67     -3.03010e-02     -5.00029e-01
+   68      3.08132e-01     -5.76155e-01
+   69      1.61246e+01      1.64697e+01
+   70      3.58051e-01      1.71447e+00
+   71      1.75047e+01      1.82206e+01
+   72      1.70843e+01      1.74738e+01
+   73      6.68017e-01      4.32566e-01
+   74      7.40863e-01      2.91663e-01
+   75      1.48711e+01      1.41254e+01
+   76     -7.90680e-02     -5.78026e-01
+   77      1.75256e+01      1.79062e+01
+   78      1.64932e+01      1.70050e+01
+   79     -2.41588e-01      2.88499e-02
+   80      7.09500e-01      5.20180e-01
+   81      1.60501e+01      1.59825e+01
+   82     -8.45774e-01     -4.14865e-01
+   83      1.60836e+01      1.62826e+01
+   84      1.72216e+01      1.82987e+01
+   85     -3.62842e-01     -6.68527e-01
+   86      6.24311e-01     -2.11577e-01
+   87      1.54362e+01      1.53414e+01
+   88      2.00267e-01      2.59792e-01
+   89      1.58314e+01      1.60606e+01
+   90      1.73896e+01      1.84766e+01
+   91      8.33780e-02     -9.49664e-01
+   92      2.84410e-01     -1.71436e-01
+   93      1.53897e+01      1.51007e+01
+   94     -8.28530e-02     -4.03923e-01
+   95      1.55476e+01      1.56354e+01
+   96      1.54064e+01      1.62112e+01
+   97     -4.67307e-01     -8.82890e-01
+   98      5.72154e-01      2.58506e-01
+   99      1.51995e+01      1.54100e+01
+  100      4.45882e-01      1.10905e+00
+  101      1.52083e+01      1.52746e+01
+  102      1.66533e+01      1.64204e+01
+  103      2.21301e-01      3.73425e-01
+  104      2.10913e-01     -1.75248e-01
+  105      1.68420e+01      1.68491e+01
+  106     -4.38006e-01      9.84465e-02
+  107      1.54780e+01      1.52390e+01
+  108      1.74004e+01      1.76913e+01
+  109      2.97926e-01      2.21057e-01
+  110     -7.03381e-01     -7.31065e-01
+  111      1.57922e+01      1.51305e+01
+  112      5.60494e-01      5.19574e-01
+  113      1.62130e+01      1.61170e+01
+  114      1.66667e+01      1.75161e+01
+  115      2.67756e-01      4.64976e-01
+  116      4.35308e-01      9.52159e-01
+  117      1.58273e+01      1.56789e+01
+  118     -2.53253e-01     -2.37719e-01
+  119      1.56737e+01      1.49117e+01
+  120      1.65778e+01      1.78176e+01
+  121      4.07324e-01      3.79693e-01
+  122      8.20130e-02      8.60031e-01
+  123      1.55332e+01      1.60717e+01
+  124     -1.39247e-01      2.92307e-01
+  125      1.43076e+01      1.46021e+01
+  126      1.63976e+01      1.67964e+01
+  127      6.49334e-01      2.98146e-01
+  128     -3.55097e-01      1.47893e-02
+  129      1.49097e+01      1.40934e+01
+  130     -4.61748e-01     -9.71791e-02
+  131      1.52928e+01      1.47964e+01
+  132      1.75302e+01      1.80962e+01
+  133     -3.07090e-02     -4.58050e-01
+  134     -4.56124e-01     -2.77220e-01
+  135      1.57927e+01      1.49443e+01
+  136     -3.87052e-01     -7.77768e-01
+  137      1.59694e+01      1.52680e+01
+  138      1.71010e+01      1.76573e+01
+  139     -8.14300e-03     -5.52389e-01
+  140      1.26551e-01      9.55384e-02
+  141      1.64517e+01      1.63385e+01
+  142     -3.32726e-01     -1.39692e-01
+  143      1.56131e+01      1.52368e+01
+  144      1.61527e+01      1.71272e+01
+  145      7.05805e-01      3.93770e-01
+  146      1.05073e+00      2.03589e+00
+  147      1.54547e+01      1.49553e+01
+  148      2.65308e-01      9.41772e-02
+  149      1.52266e+01      1.56537e+01
+  150      1.74079e+01      1.88315e+01
+  151      8.11110e-01     -1.02549e-01
+  152      3.49410e-02     -6.39435e-01
+  153      1.50259e+01      1.45925e+01
+  154     -7.14796e-01     -1.39981e-01
+  155      1.47965e+01      1.41466e+01
+  156      1.77716e+01      1.89167e+01
+  157     -1.48256e-01     -7.28880e-01
+  158      1.33220e-02      3.75719e-01
+  159      1.60252e+01      1.56164e+01
+  160      5.01500e-02     -3.30313e-01
+  161      1.60977e+01      1.59048e+01
+  162      1.63886e+01      1.73253e+01
+  163     -6.99979e-01     -1.73070e-01
+  164     -2.85022e-01     -1.15240e-01
+  165      1.59395e+01      1.57837e+01
+  166     -1.20727e-01     -2.25880e-01
+  167      1.48571e+01      1.49821e+01
+  168      1.53451e+01      1.68698e+01
+  169      7.79050e-01      2.20071e-01
+  170      6.92350e-01      1.81921e-01
+  171      1.66836e+01      1.66420e+01
+  172     -7.66435e-01     -7.07049e-01
+  173      1.47586e+01      1.46652e+01
+  174      1.68777e+01      1.75693e+01
+  175      3.57924e-01      7.62780e-01
+  176      7.64249e-01      1.05971e+00
+  177      1.70458e+01      1.65148e+01
+  178      3.81197e-01      6.74804e-01
+  179      1.60212e+01      1.57209e+01
+  180      1.71598e+01      1.82703e+01
+  181      1.14485e-01      4.77735e-01
+  182     -4.01068e-01     -5.97004e-01
+  183      1.58022e+01      1.54372e+01
+  184     -1.13493e-01     -5.56574e-01
+  185      1.60853e+01      1.60864e+01
+  186      1.70066e+01      1.86838e+01
+  187      1.30175e-01      7.32284e-01
+  188      4.23311e-01      3.92733e-01
+  189      1.58055e+01      1.56706e+01
+  190     -3.98306e-01     -5.35490e-02
+  191      1.56380e+01      1.53463e+01
+  192      1.67994e+01      1.76617e+01
+  193      2.43578e-01      5.94359e-01
+  194     -1.13873e-01     -3.25982e-01
+  195      1.55824e+01      1.49377e+01
+  196      3.32044e-01      6.35079e-01
+  197      1.65170e+01      1.58262e+01
+  198      1.62668e+01      1.81352e+01
+  199     -2.67356e-01      1.80332e-01
+  200      4.48500e-02      5.00553e-01
+  201      1.52239e+01      1.48525e+01
+  202     -1.07051e-01      2.14512e-01
+  203      1.50240e+01      1.50673e+01
+  204      1.73863e+01      1.87825e+01
+  205      1.34319e-01      8.18938e-01
+  206      2.60803e-01      6.03497e-01
+  207      1.59249e+01      1.51134e+01
+  208     -8.61327e-01     -5.21710e-01
+  209      1.58274e+01      1.52618e+01
+  210      1.74365e+01      1.87507e+01
+  211     -3.57663e-01      1.27929e-02
+  212      4.93825e-01      6.73713e-01
+  213      1.63138e+01      1.55794e+01
+  214     -2.98119e-01     -3.50570e-01
+  215      1.55194e+01      1.50046e+01
+  216      1.68179e+01      1.74547e+01
+  217      1.48895e-01     -3.40387e-01
+  218      4.99831e-01      1.00431e+00
+  219      1.53039e+01      1.49248e+01
+  220      4.02267e-01      1.18573e+00
+  221      1.54614e+01      1.52183e+01
+  222      1.74230e+01      1.81515e+01
+  223     -2.89971e-01     -9.82442e-02
+  224     -3.47167e-01     -2.65825e-01
+  225      1.62007e+01      1.58808e+01
+  226      3.68750e-02     -2.94881e-01
+  227      1.62681e+01      1.60262e+01
+  228      1.72400e+01      1.79924e+01
+  229      2.86506e-01      8.40354e-01
+  230     -2.41967e-01      3.26075e-01
+  231      1.56915e+01      1.51333e+01
+  232     -3.89055e-01     -6.44149e-01
+  233      1.58088e+01      1.55608e+01
+  234      1.65653e+01      1.66290e+01
+  235     -1.74239e-01     -4.50066e-01
+  236     -2.12000e-04      5.40005e-01
+  237      1.65890e+01      1.56648e+01
+  238     -2.04047e-01     -9.62404e-02
+  239      1.56436e+01      1.45519e+01
+  240      1.60274e+01      1.66278e+01
+  241      2.48600e-01     -3.73828e-01
+  242      5.93004e-01      5.43050e-01
+  243      1.68466e+01      1.65894e+01
+  244      4.73728e-01      9.90999e-01
+  245      1.58959e+01      1.56495e+01
+  246      1.75355e+01      1.84247e+01
+  247      9.49950e-02     -1.51535e-01
+  248      2.87040e-02      2.77561e-02
+  249      1.64020e+01      1.63858e+01
+  250      1.15326e-01     -6.03745e-01
+  251      1.54564e+01      1.51390e+01
+  252      1.74201e+01      1.80919e+01
+  253      6.64877e-01      1.51031e+00
+  254     -2.10931e-01      3.77305e-01
+  255      1.59130e+01      1.55930e+01
+  256     -5.56285e-01     -3.34079e-01
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