.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/uncertainty/statistics/plot_emp_stats.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        Click :ref:`here <sphx_glr_download_examples_uncertainty_statistics_plot_emp_stats.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_uncertainty_statistics_plot_emp_stats.py:


Empirical estimation of statistics
==================================

In this example,
we want to empirically estimate statistics
associated with the range of the Mission discipline of the Sobieski's SSBJ problem.

For simplification,
we use uniform distributions for the discipline inputs
based on the bounds of the design parameters.

.. GENERATED FROM PYTHON SOURCE LINES 33-43

.. code-block:: default

    from __future__ import annotations

    from gemseo.api import configure_logger
    from gemseo.api import create_discipline
    from gemseo.api import create_scenario
    from gemseo.problems.sobieski.core.problem import SobieskiProblem
    from gemseo.uncertainty.api import create_statistics

    configure_logger()





.. rst-class:: sphx-glr-script-out

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 44-52

Create the dataset
------------------
First of all,
we create the dataset.
For that,
we instantiate
the discipline :class:`~gems.problems.sobieski.disciplines.SobieskiMission`
of the Sobieski's SSBJ problem which is known to |g|.

.. GENERATED FROM PYTHON SOURCE LINES 52-54

.. code-block:: default

    discipline = create_discipline("SobieskiMission")








.. GENERATED FROM PYTHON SOURCE LINES 55-60

Then,
we load the design space of the Sobieski's SSBJ problem
by means of the property :meth:`.SobieskiProblem.design_space`
and :meth:`.DesignSpace.filter` the inputs of the
discipline :class:`~gems.problems.sobieski.disciplines.SobieskiMission`.

.. GENERATED FROM PYTHON SOURCE LINES 60-63

.. code-block:: default

    parameter_space = SobieskiProblem().design_space
    parameter_space.filter(discipline.get_input_data_names())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none


    <gemseo.algos.design_space.DesignSpace object at 0x7f3c38f44cd0>



.. GENERATED FROM PYTHON SOURCE LINES 64-68

Then,
we sample the discipline over this design space
by means of a :class:`.DOEScenario`
executed with a Monte Carlo algorithm and 100 samples.

.. GENERATED FROM PYTHON SOURCE LINES 68-73

.. code-block:: default

    scenario = create_scenario(
        [discipline], "DisciplinaryOpt", "y_4", parameter_space, scenario_type="DOE"
    )
    scenario.execute({"algo": "OT_MONTE_CARLO", "n_samples": 100})





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

        INFO - 14:48:28:  
        INFO - 14:48:28: *** Start DOEScenario execution ***
        INFO - 14:48:28: DOEScenario
        INFO - 14:48:28:    Disciplines: SobieskiMission
        INFO - 14:48:28:    MDO formulation: DisciplinaryOpt
        INFO - 14:48:28: Optimization problem:
        INFO - 14:48:28:    minimize y_4(x_shared, y_14, y_24, y_34)
        INFO - 14:48:28:    with respect to x_shared, y_14, y_24, y_34
        INFO - 14:48:29:    over the design space:
        INFO - 14:48:29:    +-------------+-------------+---------------+-------------+-------+
        INFO - 14:48:29:    | name        | lower_bound |     value     | upper_bound | type  |
        INFO - 14:48:29:    +-------------+-------------+---------------+-------------+-------+
        INFO - 14:48:29:    | x_shared[0] |     0.01    |      0.05     |     0.09    | float |
        INFO - 14:48:29:    | x_shared[1] |    30000    |     45000     |    60000    | float |
        INFO - 14:48:29:    | x_shared[2] |     1.4     |      1.6      |     1.8     | float |
        INFO - 14:48:29:    | x_shared[3] |     2.5     |      5.5      |     8.5     | float |
        INFO - 14:48:29:    | x_shared[4] |      40     |       55      |      70     | float |
        INFO - 14:48:29:    | x_shared[5] |     500     |      1000     |     1500    | float |
        INFO - 14:48:29:    | y_14[0]     |    24850    | 50606.9741711 |    77100    | float |
        INFO - 14:48:29:    | y_14[1]     |    -7700    | 7306.20262124 |    45000    | float |
        INFO - 14:48:29:    | y_24        |     0.44    |   4.15006276  |    11.13    | float |
        INFO - 14:48:29:    | y_34        |     0.44    |   1.10754577  |     1.98    | float |
        INFO - 14:48:29:    +-------------+-------------+---------------+-------------+-------+
        INFO - 14:48:29: Solving optimization problem with algorithm OT_MONTE_CARLO:
        INFO - 14:48:29: ...   0%|          | 0/100 [00:00<?, ?it]
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[1.29698918e-02 4.61506629e+04 1.54257893e+00 7.81530848e+00
       ERROR - 14:48:29:  5.05577274e+01 1.02006624e+03 3.16585883e+04 3.74764805e+04
       ERROR - 14:48:29:  1.02715165e+01 8.69196356e-01] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[5.48981321e-02 3.02492651e+04 1.78425506e+00 7.51304278e+00
       ERROR - 14:48:29:  5.91913274e+01 1.07102327e+03 3.89430460e+04 4.39972900e+04
       ERROR - 14:48:29:  5.23135403e+00 1.69750699e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[3.23734572e-02 5.75371340e+04 1.56588241e+00 3.92408088e+00
       ERROR - 14:48:29:  5.21270800e+01 6.95527982e+02 2.78544051e+04 2.90664780e+04
       ERROR - 14:48:29:  8.48303790e+00 1.07896745e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[8.65821820e-02 5.67282712e+04 1.63166519e+00 8.05650222e+00
       ERROR - 14:48:29:  6.64935582e+01 7.09872962e+02 2.82276678e+04 3.83552559e+04
       ERROR - 14:48:29:  1.00916432e+01 1.92827068e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[8.73940398e-02 3.67026184e+04 1.56476942e+00 4.19812099e+00
       ERROR - 14:48:29:  6.17650588e+01 1.19302534e+03 3.41482711e+04 4.38203117e+04
       ERROR - 14:48:29:  1.00305508e+01 1.32482248e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[6.31287105e-02 4.23324465e+04 1.41438529e+00 4.38495848e+00
       ERROR - 14:48:29:  5.18016406e+01 9.81706178e+02 4.02684763e+04 4.04292612e+04
       ERROR - 14:48:29:  1.63495128e+00 1.58647382e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[4.70074524e-02 4.40740007e+04 1.62275117e+00 4.39813380e+00
       ERROR - 14:48:29:  6.53898046e+01 1.27066268e+03 3.10026856e+04 3.93852349e+04
       ERROR - 14:48:29:  5.25707580e+00 4.69709094e-01] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[5.02116961e-02 4.11016864e+04 1.76501712e+00 7.39553905e+00
       ERROR - 14:48:29:  4.03455877e+01 8.42798741e+02 3.16404732e+04 3.77881168e+04
       ERROR - 14:48:29:  4.99873191e+00 5.33732657e-01] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[1.79955568e-02 4.13572866e+04 1.53514395e+00 6.06896708e+00
       ERROR - 14:48:29:  6.30366946e+01 5.07973536e+02 3.06338667e+04 3.54965135e+04
       ERROR - 14:48:29:  6.15365417e-01 1.38454066e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[7.34156617e-02 4.29755065e+04 1.65638244e+00 4.73092799e+00
       ERROR - 14:48:29:  6.39497950e+01 7.54812818e+02 3.75942160e+04 4.10549422e+04
       ERROR - 14:48:29:  1.01970094e+01 1.93999914e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[8.69811400e-02 3.42276221e+04 1.48336149e+00 4.28449805e+00
       ERROR - 14:48:29:  4.74431990e+01 9.08368407e+02 3.06851402e+04 4.29931580e+04
       ERROR - 14:48:29:  9.77470946e+00 9.51964086e-01] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[8.44564380e-02 3.07957264e+04 1.54087352e+00 5.88383336e+00
       ERROR - 14:48:29:  4.21051139e+01 5.91254283e+02 3.08786610e+04 3.32313216e+04
       ERROR - 14:48:29:  4.95940225e+00 7.91759531e-01] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[6.77585739e-02 3.79793238e+04 1.74373635e+00 3.43230716e+00
       ERROR - 14:48:29:  4.13701698e+01 1.31335579e+03 2.88266747e+04 3.74178761e+04
       ERROR - 14:48:29:  8.88078902e+00 1.83214824e+00] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
       ERROR - 14:48:29: Failed to evaluate function y_4
       ERROR - 14:48:29: Problem with evaluation of sample :[1.63329215e-02 5.97324226e+04 1.56766182e+00 4.71404767e+00
       ERROR - 14:48:29:  4.44948320e+01 1.24758949e+03 4.39269694e+04 4.44436533e+04
       ERROR - 14:48:29:  6.30023047e+00 8.37747853e-01] result is not taken into account in DOE.
       ERROR - 14:48:29: Traceback (most recent call last):
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 373, in evaluate_samples
       ERROR - 14:48:29:     self.problem.evaluate_functions(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1099, in evaluate_functions
       ERROR - 14:48:29:     outputs[function.name] = function.evaluate(preprocessed_x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 127, in _func_to_wrap
       ERROR - 14:48:29:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func_to_wrap
       ERROR - 14:48:29:     return self.__evaluate_orig_func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 121, in _func_to_wrap
       ERROR - 14:48:29:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 426, in __call__
       ERROR - 14:48:29:     return self.evaluate(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 438, in evaluate
       ERROR - 14:48:29:     val = self.__counted_f(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 14:48:29:     self.last_eval = self._func(x_vect)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 128, in _func_to_wrap
       ERROR - 14:48:29:     output_data = self.__discipline.execute(input_data)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/core/discipline.py", line 960, in execute
       ERROR - 14:48:29:     self._run()
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 14:48:29:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 14:48:29:     return self._execute(
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 14:48:29:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 14:48:29:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.1.0/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 14:48:29:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 14:48:29: ValueError: math domain error
       ERROR - 14:48:29: 
        INFO - 14:48:29: ...  86%|████████▌ | 86/100 [00:00<00:00, 1429.42 it/sec, obj=7.2e+3]
        INFO - 14:48:29: Optimization result:
        INFO - 14:48:29:    Optimizer info:
        INFO - 14:48:29:       Status: None
        INFO - 14:48:29:       Message: None
        INFO - 14:48:29:       Number of calls to the objective function by the optimizer: 100
        INFO - 14:48:29:    Solution:
        INFO - 14:48:29:       Objective: -1532.410845601642
        INFO - 14:48:29:       Design space: 
        INFO - 14:48:29:       +-------------+-------------+---------------------+-------------+-------+
        INFO - 14:48:29:       | name        | lower_bound |        value        | upper_bound | type  |
        INFO - 14:48:29:       +-------------+-------------+---------------------+-------------+-------+
        INFO - 14:48:29:       | x_shared[0] |     0.01    | 0.07639739427791871 |     0.09    | float |
        INFO - 14:48:29:       | x_shared[1] |    30000    |  30382.18560041557  |    60000    | float |
        INFO - 14:48:29:       | x_shared[2] |     1.4     |  1.639876251582323  |     1.8     | float |
        INFO - 14:48:29:       | x_shared[3] |     2.5     |  6.678131125265034  |     8.5     | float |
        INFO - 14:48:29:       | x_shared[4] |      40     |  48.22252066873557  |      70     | float |
        INFO - 14:48:29:       | x_shared[5] |     500     |  1398.577963779934  |     1500    | float |
        INFO - 14:48:29:       | y_14[0]     |    24850    |  73521.45283526971  |    77100    | float |
        INFO - 14:48:29:       | y_14[1]     |    -7700    |  -6556.014595540449 |    45000    | float |
        INFO - 14:48:29:       | y_24        |     0.44    |  8.311658540076003  |    11.13    | float |
        INFO - 14:48:29:       | y_34        |     0.44    |  0.4466759405180455 |     1.98    | float |
        INFO - 14:48:29:       +-------------+-------------+---------------------+-------------+-------+
        INFO - 14:48:29: *** End DOEScenario execution (time: 0:00:00.083602) ***

    {'eval_jac': False, 'algo': 'OT_MONTE_CARLO', 'n_samples': 100}



.. GENERATED FROM PYTHON SOURCE LINES 74-79

Create an :class:`.EmpiricalStatistics` object for all variables
----------------------------------------------------------------
In this second stage,
we create an :class:`.EmpiricalStatistics`
from the database encapsulated in a :class:`.Dataset`:

.. GENERATED FROM PYTHON SOURCE LINES 79-84

.. code-block:: default

    dataset = scenario.export_to_dataset(opt_naming=False)
    analysis = create_statistics(dataset, name="SobieskiMission")

    print(analysis)





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

        INFO - 14:48:29: Create SobieskiMission, a EmpiricalStatistics library.
    SobieskiMission
       n_samples: 86
       n_variables: 5
       variables: x_shared, y_14, y_24, y_34, y_4




.. GENERATED FROM PYTHON SOURCE LINES 85-87

and easily obtain statistics,
such as the minimum values of the different variables over the dataset:

.. GENERATED FROM PYTHON SOURCE LINES 87-89

.. code-block:: default

    print(analysis.compute_minimum())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'x_shared': array([1.13352258e-02, 3.01398316e+04, 1.40041295e+00, 2.55929483e+00,
           4.05869021e+01, 5.05494083e+02]), 'y_14': array([26794.72022057, -6556.01459554]), 'y_24': array([0.48388241]), 'y_34': array([0.44667594]), 'y_4': array([-1532.4108456])}




.. GENERATED FROM PYTHON SOURCE LINES 90-93

Create an :class:`.EmpiricalStatistics` object for the range
------------------------------------------------------------
We can only reduce the statistical analysis to the range variable:

.. GENERATED FROM PYTHON SOURCE LINES 93-98

.. code-block:: default

    analysis = create_statistics(
        dataset, variables_names=["y_4"], name="SobieskiMission.range"
    )
    print(analysis)





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

        INFO - 14:48:29: Create SobieskiMission.range, a EmpiricalStatistics library.
    SobieskiMission.range
       n_samples: 86
       n_variables: 5
       variables: y_4




.. GENERATED FROM PYTHON SOURCE LINES 99-102

Get minimum
~~~~~~~~~~~
Here is the minimum value:

.. GENERATED FROM PYTHON SOURCE LINES 102-104

.. code-block:: default

    print(analysis.compute_minimum())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([-1532.4108456])}




.. GENERATED FROM PYTHON SOURCE LINES 105-108

Get maximum
~~~~~~~~~~~
Here is the maximum value:

.. GENERATED FROM PYTHON SOURCE LINES 108-110

.. code-block:: default

    print(analysis.compute_maximum())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([62030.01439676])}




.. GENERATED FROM PYTHON SOURCE LINES 111-114

Get range
~~~~~~~~~
Here is the (different between minimum and maximum values):

.. GENERATED FROM PYTHON SOURCE LINES 114-116

.. code-block:: default

    print(analysis.compute_range())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([63562.42524236])}




.. GENERATED FROM PYTHON SOURCE LINES 117-120

Get mean
~~~~~~~~
Here is the mean value:

.. GENERATED FROM PYTHON SOURCE LINES 120-122

.. code-block:: default

    print(analysis.compute_mean())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([4539.61303269])}




.. GENERATED FROM PYTHON SOURCE LINES 123-126

Get central moment
~~~~~~~~~~~~~~~~~~
Here is the second central moment:

.. GENERATED FROM PYTHON SOURCE LINES 126-128

.. code-block:: default

    print(analysis.compute_moment(2))





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([85150303.53546816])}




.. GENERATED FROM PYTHON SOURCE LINES 129-132

Get standard deviation
~~~~~~~~~~~~~~~~~~~~~~
Here is the standard deviation:

.. GENERATED FROM PYTHON SOURCE LINES 132-134

.. code-block:: default

    print(analysis.compute_standard_deviation())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([9227.6922107])}




.. GENERATED FROM PYTHON SOURCE LINES 135-138

Get variance
~~~~~~~~~~~~
Here is the variance.

.. GENERATED FROM PYTHON SOURCE LINES 138-140

.. code-block:: default

    print(analysis.compute_variance())





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([85150303.53546816])}




.. GENERATED FROM PYTHON SOURCE LINES 141-144

Get quantile
~~~~~~~~~~~~
Here is the quantile with level equal to 80%:

.. GENERATED FROM PYTHON SOURCE LINES 144-146

.. code-block:: default

    print(analysis.compute_quantile(0.8))





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([5261.95981236])}




.. GENERATED FROM PYTHON SOURCE LINES 147-151

Get probability
~~~~~~~~~~~~~~~
Here are the probability
to respectively be greater and lower than the default output value:

.. GENERATED FROM PYTHON SOURCE LINES 151-155

.. code-block:: default

    default_output = discipline.execute()
    print(analysis.compute_probability(default_output, greater=True))
    print(analysis.compute_probability(default_output, greater=False))





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': 0.7674418604651163}
    {'y_4': 0.23255813953488372}




.. GENERATED FROM PYTHON SOURCE LINES 156-159

Get quartile
~~~~~~~~~~~~
Here is the second quartile:

.. GENERATED FROM PYTHON SOURCE LINES 159-161

.. code-block:: default

    print(analysis.compute_quartile(2))





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([2117.20788623])}




.. GENERATED FROM PYTHON SOURCE LINES 162-165

Get percentile
~~~~~~~~~~~~~~
Here is the 50the percentile:

.. GENERATED FROM PYTHON SOURCE LINES 165-167

.. code-block:: default

    print(analysis.compute_percentile(50))





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([2117.20788623])}




.. GENERATED FROM PYTHON SOURCE LINES 168-171

Get median
~~~~~~~~~~
Here is the median:

.. GENERATED FROM PYTHON SOURCE LINES 171-172

.. code-block:: default

    print(analysis.compute_median())




.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    {'y_4': array([2117.20788623])}





.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  0.112 seconds)


.. _sphx_glr_download_examples_uncertainty_statistics_plot_emp_stats.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example


    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_emp_stats.py <plot_emp_stats.py>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_emp_stats.ipynb <plot_emp_stats.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_