.. 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 33-41

.. code-block:: default

    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

 Out:

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 42-50

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 50-52

.. code-block:: default

    discipline = create_discipline("SobieskiMission")








.. GENERATED FROM PYTHON SOURCE LINES 53-58

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 58-61

.. code-block:: default

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





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

 Out:

 .. code-block:: none


    <gemseo.algos.design_space.DesignSpace object at 0x7fdbfb6847f0>



.. GENERATED FROM PYTHON SOURCE LINES 62-66

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 66-71

.. 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

 Out:

 .. code-block:: none

        INFO - 10:07:17:  
        INFO - 10:07:17: *** Start DOEScenario execution ***
        INFO - 10:07:17: DOEScenario
        INFO - 10:07:17:    Disciplines: SobieskiMission
        INFO - 10:07:17:    MDO formulation: DisciplinaryOpt
        INFO - 10:07:17: Optimization problem:
        INFO - 10:07:17:    minimize y_4(x_shared, y_14, y_24, y_34)
        INFO - 10:07:17:    with respect to x_shared, y_14, y_24, y_34
        INFO - 10:07:17:    over the design space:
        INFO - 10:07:17:    +----------+-------------+---------------+-------------+-------+
        INFO - 10:07:17:    | name     | lower_bound |     value     | upper_bound | type  |
        INFO - 10:07:17:    +----------+-------------+---------------+-------------+-------+
        INFO - 10:07:17:    | x_shared |     0.01    |      0.05     |     0.09    | float |
        INFO - 10:07:17:    | x_shared |    30000    |     45000     |    60000    | float |
        INFO - 10:07:17:    | x_shared |     1.4     |      1.6      |     1.8     | float |
        INFO - 10:07:17:    | x_shared |     2.5     |      5.5      |     8.5     | float |
        INFO - 10:07:17:    | x_shared |      40     |       55      |      70     | float |
        INFO - 10:07:17:    | x_shared |     500     |      1000     |     1500    | float |
        INFO - 10:07:17:    | y_14     |    24850    | 50606.9741711 |    77100    | float |
        INFO - 10:07:17:    | y_14     |    -7700    | 7306.20262124 |    45000    | float |
        INFO - 10:07:17:    | y_24     |     0.44    |   4.15006276  |    11.13    | float |
        INFO - 10:07:17:    | y_34     |     0.44    |   1.10754577  |     1.98    | float |
        INFO - 10:07:17:    +----------+-------------+---------------+-------------+-------+
        INFO - 10:07:17: Solving optimization problem with algorithm OT_MONTE_CARLO:
        INFO - 10:07:17: Generation of OT_MONTE_CARLO DOE with OpenTURNS
        INFO - 10:07:17: ...   0%|          | 0/100 [00:00<?, ?it]
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[1.29698918e-02 4.61506629e+04 1.54257893e+00 7.81530848e+00
       ERROR - 10:07:17:  5.05577274e+01 1.02006624e+03 3.16585883e+04 3.74764805e+04
       ERROR - 10:07:17:  1.02715165e+01 8.69196356e-01] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[5.48981321e-02 3.02492651e+04 1.78425506e+00 7.51304278e+00
       ERROR - 10:07:17:  5.91913274e+01 1.07102327e+03 3.89430460e+04 4.39972900e+04
       ERROR - 10:07:17:  5.23135403e+00 1.69750699e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[3.23734572e-02 5.75371340e+04 1.56588241e+00 3.92408088e+00
       ERROR - 10:07:17:  5.21270800e+01 6.95527982e+02 2.78544051e+04 2.90664780e+04
       ERROR - 10:07:17:  8.48303790e+00 1.07896745e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[8.65821820e-02 5.67282712e+04 1.63166519e+00 8.05650222e+00
       ERROR - 10:07:17:  6.64935582e+01 7.09872962e+02 2.82276678e+04 3.83552559e+04
       ERROR - 10:07:17:  1.00916432e+01 1.92827068e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[8.73940398e-02 3.67026184e+04 1.56476942e+00 4.19812099e+00
       ERROR - 10:07:17:  6.17650588e+01 1.19302534e+03 3.41482711e+04 4.38203117e+04
       ERROR - 10:07:17:  1.00305508e+01 1.32482248e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[6.31287105e-02 4.23324465e+04 1.41438529e+00 4.38495848e+00
       ERROR - 10:07:17:  5.18016406e+01 9.81706178e+02 4.02684763e+04 4.04292612e+04
       ERROR - 10:07:17:  1.63495128e+00 1.58647382e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[4.70074524e-02 4.40740007e+04 1.62275117e+00 4.39813380e+00
       ERROR - 10:07:17:  6.53898046e+01 1.27066268e+03 3.10026856e+04 3.93852349e+04
       ERROR - 10:07:17:  5.25707580e+00 4.69709094e-01] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[5.02116961e-02 4.11016864e+04 1.76501712e+00 7.39553905e+00
       ERROR - 10:07:17:  4.03455877e+01 8.42798741e+02 3.16404732e+04 3.77881168e+04
       ERROR - 10:07:17:  4.99873191e+00 5.33732657e-01] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[1.79955568e-02 4.13572866e+04 1.53514395e+00 6.06896708e+00
       ERROR - 10:07:17:  6.30366946e+01 5.07973536e+02 3.06338667e+04 3.54965135e+04
       ERROR - 10:07:17:  6.15365417e-01 1.38454066e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[7.34156617e-02 4.29755065e+04 1.65638244e+00 4.73092799e+00
       ERROR - 10:07:17:  6.39497950e+01 7.54812818e+02 3.75942160e+04 4.10549422e+04
       ERROR - 10:07:17:  1.01970094e+01 1.93999914e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[8.69811400e-02 3.42276221e+04 1.48336149e+00 4.28449805e+00
       ERROR - 10:07:17:  4.74431990e+01 9.08368407e+02 3.06851402e+04 4.29931580e+04
       ERROR - 10:07:17:  9.77470946e+00 9.51964086e-01] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[8.44564380e-02 3.07957264e+04 1.54087352e+00 5.88383336e+00
       ERROR - 10:07:17:  4.21051139e+01 5.91254283e+02 3.08786610e+04 3.32313216e+04
       ERROR - 10:07:17:  4.95940225e+00 7.91759531e-01] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[6.77585739e-02 3.79793238e+04 1.74373635e+00 3.43230716e+00
       ERROR - 10:07:17:  4.13701698e+01 1.31335579e+03 2.88266747e+04 3.74178761e+04
       ERROR - 10:07:17:  8.88078902e+00 1.83214824e+00] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
       ERROR - 10:07:17: Failed to evaluate function y_4
       ERROR - 10:07:17: Problem with evaluation of sample :[1.63329215e-02 5.97324226e+04 1.56766182e+00 4.71404767e+00
       ERROR - 10:07:17:  4.44948320e+01 1.24758949e+03 4.39269694e+04 4.44436533e+04
       ERROR - 10:07:17:  6.30023047e+00 8.37747853e-01] result is not taken into account in DOE.
       ERROR - 10:07:17: Traceback (most recent call last):
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/doe/doe_lib.py", line 381, in evaluate_samples
       ERROR - 10:07:17:     self.problem.evaluate_functions(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/algos/opt_problem.py", line 1075, in evaluate_functions
       ERROR - 10:07:17:     outputs[func.name] = func.evaluate(func_inputs)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_db_function.py", line 130, in _func
       ERROR - 10:07:17:     value = self.__evaluate_orig_func(xu_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/norm_function.py", line 98, in _func
       ERROR - 10:07:17:     return self.__evaluate_orig_func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/function_from_discipline.py", line 124, in _func
       ERROR - 10:07:17:     return self.__out_x_func(x_vect[self.__x_mask])
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 440, in __call__
       ERROR - 10:07:17:     return self.evaluate(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 455, in evaluate
       ERROR - 10:07:17:     val = self.__counted_f(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/mdo_function.py", line 335, in __counted_f
       ERROR - 10:07:17:     self.last_eval = self._func(x_vect)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/mdofunctions/make_function.py", line 142, in _func
       ERROR - 10:07:17:     output_data = self.__discipline.execute(input_data)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/core/discipline.py", line 963, in execute
       ERROR - 10:07:17:     self._run()
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/disciplines.py", line 123, in _run
       ERROR - 10:07:17:     y_4 = self.sobieski_problem.mission.execute(x_shared, y_14, y_24, y_34)
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 265, in execute
       ERROR - 10:07:17:     return self._execute(
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 292, in _execute
       ERROR - 10:07:17:     [self.__compute_range(altitude, mach, w_t, w_f, cl_cd, sfc)],
       ERROR - 10:07:17:   File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/4.0.1/lib/python3.9/site-packages/gemseo/problems/sobieski/core/mission.py", line 153, in __compute_range
       ERROR - 10:07:17:     return ((mach * cl_cd) * 661.0 * sqrt_theta / sfc) * self.math.log(
       ERROR - 10:07:17: ValueError: math domain error
       ERROR - 10:07:17: 
        INFO - 10:07:17: ...  86%|████████▌ | 86/100 [00:00<00:00, 1275.97 it/sec, obj=7.2e+3]
        INFO - 10:07:17: Optimization result:
        INFO - 10:07:17:    Optimizer info:
        INFO - 10:07:17:       Status: None
        INFO - 10:07:17:       Message: None
        INFO - 10:07:17:       Number of calls to the objective function by the optimizer: 100
        INFO - 10:07:17:    Solution:
        INFO - 10:07:17:       Objective: -1532.410845601642
        INFO - 10:07:17:       Design space:
        INFO - 10:07:17:       +----------+-------------+---------------------+-------------+-------+
        INFO - 10:07:17:       | name     | lower_bound |        value        | upper_bound | type  |
        INFO - 10:07:17:       +----------+-------------+---------------------+-------------+-------+
        INFO - 10:07:17:       | x_shared |     0.01    | 0.07639739427791871 |     0.09    | float |
        INFO - 10:07:17:       | x_shared |    30000    |  30382.18560041557  |    60000    | float |
        INFO - 10:07:17:       | x_shared |     1.4     |  1.639876251582323  |     1.8     | float |
        INFO - 10:07:17:       | x_shared |     2.5     |  6.678131125265034  |     8.5     | float |
        INFO - 10:07:17:       | x_shared |      40     |  48.22252066873557  |      70     | float |
        INFO - 10:07:17:       | x_shared |     500     |  1398.577963779934  |     1500    | float |
        INFO - 10:07:17:       | y_14     |    24850    |  73521.45283526971  |    77100    | float |
        INFO - 10:07:17:       | y_14     |    -7700    |  -6556.014595540449 |    45000    | float |
        INFO - 10:07:17:       | y_24     |     0.44    |  8.311658540076003  |    11.13    | float |
        INFO - 10:07:17:       | y_34     |     0.44    |  0.4466759405180455 |     1.98    | float |
        INFO - 10:07:17:       +----------+-------------+---------------------+-------------+-------+
        INFO - 10:07:17: *** End DOEScenario execution (time: 0:00:00.090772) ***

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



.. GENERATED FROM PYTHON SOURCE LINES 72-77

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 77-82

.. 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

 Out:

 .. code-block:: none

        INFO - 10:07:17: 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 83-85

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

.. GENERATED FROM PYTHON SOURCE LINES 85-87

.. code-block:: default

    print(analysis.compute_minimum())





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

 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 88-91

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

.. GENERATED FROM PYTHON SOURCE LINES 91-96

.. code-block:: default

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





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

 Out:

 .. code-block:: none

        INFO - 10:07:17: Create SobieskiMission.range, a EmpiricalStatistics library.
    SobieskiMission.range
       n_samples: 86
       n_variables: 5
       variables: y_4




.. GENERATED FROM PYTHON SOURCE LINES 97-100

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

.. GENERATED FROM PYTHON SOURCE LINES 100-102

.. code-block:: default

    print(analysis.compute_minimum())





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 103-106

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

.. GENERATED FROM PYTHON SOURCE LINES 106-108

.. code-block:: default

    print(analysis.compute_maximum())





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 109-112

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

.. GENERATED FROM PYTHON SOURCE LINES 112-114

.. code-block:: default

    print(analysis.compute_range())





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 115-118

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

.. GENERATED FROM PYTHON SOURCE LINES 118-120

.. code-block:: default

    print(analysis.compute_mean())





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 121-124

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

.. GENERATED FROM PYTHON SOURCE LINES 124-126

.. code-block:: default

    print(analysis.compute_moment(2))





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 127-130

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

.. GENERATED FROM PYTHON SOURCE LINES 130-132

.. code-block:: default

    print(analysis.compute_standard_deviation())





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 133-136

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

.. GENERATED FROM PYTHON SOURCE LINES 136-138

.. code-block:: default

    print(analysis.compute_variance())





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 139-142

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

.. GENERATED FROM PYTHON SOURCE LINES 142-144

.. code-block:: default

    print(analysis.compute_quantile(0.8))





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 145-149

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

.. GENERATED FROM PYTHON SOURCE LINES 149-153

.. 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

 Out:

 .. code-block:: none

    {'y_4': 0.13953488372093023}
    {'y_4': 0.872093023255814}




.. GENERATED FROM PYTHON SOURCE LINES 154-157

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

.. GENERATED FROM PYTHON SOURCE LINES 157-159

.. code-block:: default

    print(analysis.compute_quartile(2))





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 160-163

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

.. GENERATED FROM PYTHON SOURCE LINES 163-165

.. code-block:: default

    print(analysis.compute_percentile(50))





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

 Out:

 .. code-block:: none

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




.. GENERATED FROM PYTHON SOURCE LINES 166-169

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

.. GENERATED FROM PYTHON SOURCE LINES 169-170

.. code-block:: default

    print(analysis.compute_median())




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

 Out:

 .. code-block:: none

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





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

   **Total running time of the script:** ( 0 minutes  0.122 seconds)


.. _sphx_glr_download_examples_uncertainty_statistics_plot_emp_stats.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: 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>`_