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

.. only:: html

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

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

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

.. _sphx_glr_examples_post_process_plot_pareto_front_binhkorn_bilevel.py:


Pareto front on Binh and Korn problem using a BiLevel formulation
=================================================================

In this example,
we illustrate the computation of a Pareto front plot for the Binh and Korn problem.
We use a BiLevel formulation in order to only compute the Pareto-optimal points.

.. GENERATED FROM PYTHON SOURCE LINES 30-34

Import
------
The first step is to import some functions from the API,
and to configure the logger.

.. GENERATED FROM PYTHON SOURCE LINES 34-45

.. code-block:: default

    from gemseo.api import configure_logger
    from gemseo.api import create_design_space
    from gemseo.api import create_discipline
    from gemseo.api import create_scenario
    from gemseo.disciplines.scenario_adapter import MDOScenarioAdapter
    from matplotlib import pyplot as plt
    from numpy import array

    configure_logger()






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

 Out:

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 46-52

Definition of the disciplines
-----------------------------

In this example,
we create the Binh and Korn disciplines from scratch by declaring their expressions and using
the :class:`.AnalyticDiscipline`.

.. GENERATED FROM PYTHON SOURCE LINES 52-60

.. code-block:: default


    expr_binh_korn = {
        "obj1": "4*x1**2 + 4*x2**2",
        "obj2": "(x1-5.)**2 + (x2-5.)**2",
        "cstr1": "(x1-5.)**2 + x2**2 - 25.",
        "cstr2": "-(x1-8.)**2 - (x2+3)**2 + 7.7",
    }








.. GENERATED FROM PYTHON SOURCE LINES 61-62

This constraint will be used to set `obj1` to a target value for the lower-level scenario.

.. GENERATED FROM PYTHON SOURCE LINES 62-65

.. code-block:: default


    expr_cstr_obj1_target = {"cstr3": "obj1 - obj1_target"}








.. GENERATED FROM PYTHON SOURCE LINES 66-70

Instantiation of the disciplines
--------------------------------

Here, we create the disciplines from their expressions.

.. GENERATED FROM PYTHON SOURCE LINES 70-78

.. code-block:: default


    discipline_binh_korn = create_discipline(
        "AnalyticDiscipline", expressions=expr_binh_korn
    )
    discipline_cstr_obj1 = create_discipline(
        "AnalyticDiscipline", expressions=expr_cstr_obj1_target
    )








.. GENERATED FROM PYTHON SOURCE LINES 79-81

Definition of the lower-level design space
------------------------------------------

.. GENERATED FROM PYTHON SOURCE LINES 81-91

.. code-block:: default


    design_space = create_design_space()
    design_space.add_variable("x1", l_b=array([0.0]), u_b=array([5.0]), value=array([2.0]))
    design_space.add_variable("x2", l_b=array([-5.0]), u_b=array([3.0]), value=array([2.0]))

    disciplines = [
        discipline_binh_korn,
        discipline_cstr_obj1,
    ]








.. GENERATED FROM PYTHON SOURCE LINES 92-95

Creation of the lower-level scenario
------------------------------------
This scenario aims at finding the `obj2` optimal value for a specific value of `obj1`.

.. GENERATED FROM PYTHON SOURCE LINES 95-105

.. code-block:: default


    scenario = create_scenario(
        disciplines,
        "DisciplinaryOpt",
        design_space=design_space,
        objective_name="obj2",
    )

    scenario.default_inputs = {"algo": "NLOPT_SLSQP", "max_iter": 100}








.. GENERATED FROM PYTHON SOURCE LINES 106-107

We add the Binh and Korn problem constraints.

.. GENERATED FROM PYTHON SOURCE LINES 107-110

.. code-block:: default

    scenario.add_constraint("cstr1", "ineq")
    scenario.add_constraint("cstr2", "ineq")








.. GENERATED FROM PYTHON SOURCE LINES 111-112

We add a constraint to force the value of `obj1` to `obj1_target`.

.. GENERATED FROM PYTHON SOURCE LINES 112-114

.. code-block:: default

    scenario.add_constraint("cstr3", "eq")








.. GENERATED FROM PYTHON SOURCE LINES 115-123

Creation of an MDOScenarioAdapter
---------------------------------

An :class:`.MDOScenarioAdapter` is created to use the lower-level scenario as a discipline.
This newly created discipline takes as input a target `obj_1`,
and returns `obj1`, `obj2` and `cstr3`.
The latter variable is used by the upper level scenario
to check if `obj1` = `obj1_target` at the end of the lower-lever scenario execution.

.. GENERATED FROM PYTHON SOURCE LINES 123-132

.. code-block:: default


    scenario_adapter = MDOScenarioAdapter(
        scenario, ["obj1_target"], ["obj1", "obj2", "cstr3"]
    )
    design_space_doe = create_design_space()
    design_space_doe.add_variable(
        "obj1_target", l_b=array([0.1]), u_b=array([100.0]), value=array([1.0])
    )








.. GENERATED FROM PYTHON SOURCE LINES 133-139

Creation of a DOEScenario
-------------------------
Create a DOE Scenario, which will take as input the scenario adapter.
It will perform a DOE over the `obj1_target` variable.
Note that `obj2` shall be added as an observable of `scenario_doe`,
otherwise it cannot be used by the ParetoFront post-processing.

.. GENERATED FROM PYTHON SOURCE LINES 139-150

.. code-block:: default


    scenario_doe = create_scenario(
        scenario_adapter,
        formulation="DisciplinaryOpt",
        objective_name="obj1",
        design_space=design_space_doe,
        scenario_type="DOE",
    )
    scenario_doe.add_constraint("cstr3", "eq")
    scenario_doe.add_observable("obj2")








.. GENERATED FROM PYTHON SOURCE LINES 151-154

Run the scenario
----------------
Finally, we run a full-factorial DOE using 100 samples and we run the post-processing.

.. GENERATED FROM PYTHON SOURCE LINES 154-160

.. code-block:: default

    run_inputs = {"n_samples": 50, "algo": "fullfact"}
    scenario_doe.execute(run_inputs)
    scenario_doe.post_process(
        "ParetoFront", objectives=["obj1", "obj2"], save=False, show=False
    )
    plt.show()



.. image-sg:: /examples/post_process/images/sphx_glr_plot_pareto_front_binhkorn_bilevel_001.png
   :alt: Pareto front
   :srcset: /examples/post_process/images/sphx_glr_plot_pareto_front_binhkorn_bilevel_001.png
   :class: sphx-glr-single-img


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

 Out:

 .. code-block:: none

        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start DOEScenario execution ***
        INFO - 07:14:58: DOEScenario
        INFO - 07:14:58:    Disciplines: MDOScenario_adapter
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj1(obj1_target)
        INFO - 07:14:58:    with respect to obj1_target
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr3(obj1_target) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +-------------+-------------+-------+-------------+-------+
        INFO - 07:14:58:    | name        | lower_bound | value | upper_bound | type  |
        INFO - 07:14:58:    +-------------+-------------+-------+-------------+-------+
        INFO - 07:14:58:    | obj1_target |     0.1     |   1   |     100     | float |
        INFO - 07:14:58:    +-------------+-------------+-------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm fullfact:
        INFO - 07:14:58: Full factorial design required. Number of samples along each direction for a design vector of size 1 with 50 samples: 50
        INFO - 07:14:58: Final number of samples for DOE = 50 vs 50 requested
        INFO - 07:14:58: ...   0%|          | 0/50 [00:00<?, ?it]
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+-------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound | value | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+-------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      |   2   |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     |   2   |      3      | float |
        INFO - 07:14:58:    +------+-------------+-------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  21%|██        | 21/100 [00:00<00:00, 994.43 it/sec, obj=47.7]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  25%|██▌       | 25/100 [00:00<00:00, 814.96 it/sec, obj=47.7]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 32
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 47.703727654876516
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -1.0667466573428754
        INFO - 07:14:58:          cstr2 = -64.31467159436009
        INFO - 07:14:58:          cstr3 = 0.008327777064409236
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 0.1093828601608978 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 0.1229525687780608 |      3      | float |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.132471) ***
        INFO - 07:14:58: ...   2%|▏         | 1/50 [00:00<00:00, 358.68 it/sec]
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 0.1093828601608978 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 0.1229525687780608 |      3      | float |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  13%|█▎        | 13/100 [00:00<00:00, 1676.27 it/sec, obj=39.8]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 16
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 40.19103454891671
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -4.635553160505001
        INFO - 07:14:58:          cstr2 = -60.66617024950777
        INFO - 07:14:58:          cstr3 = 0.0011716100039924626
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 0.5170539940557017 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 0.5173412290578288 |      3      | float |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.063829) ***
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 0.5170539940557017 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 0.5173412290578288 |      3      | float |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  11%|█         | 11/100 [00:00<00:00, 2114.57 it/sec, obj=35.9]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 12
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 36.59177704909952
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -6.181927091281441
        INFO - 07:14:58:          cstr2 = -59.1180600956955
        INFO - 07:14:58:          cstr3 = 9.47309592103096e-06
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 0.7226317214657462 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 0.7226295859619043 |      3      | float |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.051544) ***
        INFO - 07:14:58: ...   6%|▌         | 3/50 [00:00<00:00, 192.18 it/sec]
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 0.7226317214657462 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 0.7226295859619043 |      3      | float |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...   8%|▊         | 8/100 [00:00<00:00, 2763.88 it/sec, obj=33.6]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 33.919631813422384
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -7.255848461968618
        INFO - 07:14:58:          cstr2 = -58.05233099585455
        INFO - 07:14:58:          cstr3 = 0.0038288011280993572
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 0.8810887294903702 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 0.882451972460899  |      3      | float |
        INFO - 07:14:58:       +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.040190) ***
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value        | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 0.8810887294903702 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 0.882451972460899  |      3      | float |
        INFO - 07:14:58:    +------+-------------+--------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...   9%|▉         | 9/100 [00:00<00:00, 2450.76 it/sec]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 31.74205545582052
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -8.126479874112459
        INFO - 07:14:58:          cstr2 = -57.137414252228
        INFO - 07:14:58:          cstr3 = 0.005542967398865173
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 1.019164112616626 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 1.013146467006703 |      3      | float |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.045153) ***
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 1.019164112616626 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 1.013146467006703 |      3      | float |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  12%|█▏        | 12/100 [00:00<00:00, 1817.55 it/sec, obj=29.9]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 15
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 29.88109811954699
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -8.904130006507508
        INFO - 07:14:58:          cstr2 = -56.236931646326525
        INFO - 07:14:58:          cstr3 = 0.008278899838032316
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 1.147966911922212 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     |  1.12147718739455 |      3      | float |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.059121) ***
        INFO - 07:14:58: ...  12%|█▏        | 6/50 [00:00<00:00, 121.20 it/sec]
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 1.147966911922212 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     |  1.12147718739455 |      3      | float |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  12%|█▏        | 12/100 [00:00<00:00, 1867.66 it/sec, obj=28.2]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 14
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 28.24715432188683
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -9.262042373098518
        INFO - 07:14:58:          cstr2 = -56.1244562169954
        INFO - 07:14:58:          cstr3 = 0.005733399147294094
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 1.234663898819147 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 1.249080330501465 |      3      | float |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.057554) ***
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 1.234663898819147 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 1.249080330501465 |      3      | float |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  11%|█         | 11/100 [00:00<00:00, 2059.67 it/sec, obj=26.8]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 13
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 26.78338139404545
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -9.960291855840104
        INFO - 07:14:58:          cstr2 = -55.16052551821478
        INFO - 07:14:58:          cstr3 = 0.007261845302840797
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      | 1.355496446002296 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 1.325632675011445 |      3      | float |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.052758) ***
        INFO - 07:14:58: ...  16%|█▌        | 8/50 [00:00<00:00, 94.64 it/sec]
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      | 1.355496446002296 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 1.325632675011445 |      3      | float |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:58: ...  11%|█         | 11/100 [00:00<00:00, 1962.17 it/sec, obj=25.5]
        INFO - 07:14:58: Optimization result:
        INFO - 07:14:58:    Optimizer info:
        INFO - 07:14:58:       Status: None
        INFO - 07:14:58:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:58:       Number of calls to the objective function by the optimizer: 13
        INFO - 07:14:58:    Solution:
        INFO - 07:14:58:       The solution is feasible.
        INFO - 07:14:58:       Objective: 25.456747661016507
        INFO - 07:14:58:       Standardized constraints:
        INFO - 07:14:58:          cstr1 = -10.182735612985024
        INFO - 07:14:58:          cstr2 = -55.162076920524946
        INFO - 07:14:58:          cstr3 = 0.0021701470212498464
        INFO - 07:14:58:       Design space:
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:       | x1   |      0      |  1.42858291701485 |      5      | float |
        INFO - 07:14:58:       | x2   |      -5     | 1.436051672599847 |      3      | float |
        INFO - 07:14:58:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: *** End MDOScenario execution (time: 0:00:00.054966) ***
        INFO - 07:14:58:  
        INFO - 07:14:58: *** Start MDOScenario execution ***
        INFO - 07:14:58: MDOScenario
        INFO - 07:14:58:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:58:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:58: Optimization problem:
        INFO - 07:14:58:    minimize obj2(x1, x2)
        INFO - 07:14:58:    with respect to x1, x2
        INFO - 07:14:58:    subject to constraints:
        INFO - 07:14:58:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:58:       cstr3(x1, x2) == 0.0
        INFO - 07:14:58:    over the design space:
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58:    | x1   |      0      |  1.42858291701485 |      5      | float |
        INFO - 07:14:58:    | x2   |      -5     | 1.436051672599847 |      3      | float |
        INFO - 07:14:58:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:58: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:58: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:58: 
        INFO - 07:14:59: ...  11%|█         | 11/100 [00:00<00:00, 1956.22 it/sec, obj=24.2]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 13
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 24.238961391299995
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -10.581988784945853
        INFO - 07:14:59:          cstr2 = -54.70852336416608
        INFO - 07:14:59:          cstr3 = 0.0025169026502354086
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      |  1.51948629085676 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 1.517904982375415 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.055123) ***
        INFO - 07:14:59: ...  20%|██        | 10/50 [00:00<00:00, 77.67 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      |  1.51948629085676 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 1.517904982375415 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   9%|▉         | 9/100 [00:00<00:00, 2444.95 it/sec]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 23.11579694920823
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -10.870999209927898
        INFO - 07:14:59:          cstr2 = -54.4411348517972
        INFO - 07:14:59:          cstr3 = 0.00016967686911684154
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 1.599298040465538 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 1.601320384086387 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.044863) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 1.599298040465538 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 1.601320384086387 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2832.69 it/sec]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 8
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 22.070806133873354
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -11.152004241913563
        INFO - 07:14:59:          cstr2 = -54.144115710393905
        INFO - 07:14:59:          cstr3 = 7.790157006937193e-05
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 1.678365637036731 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 1.677718962421308 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039338) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 1.678365637036731 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 1.677718962421308 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2835.10 it/sec]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 8
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 21.094680946646342
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -11.382543763227893
        INFO - 07:14:59:          cstr2 = -53.916789711709825
        INFO - 07:14:59:          cstr3 = 6.34855576464588e-05
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 1.752388616522955 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 1.752277529012576 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039453) ***
        INFO - 07:14:59: ...  26%|██▌       | 13/50 [00:00<00:00, 64.50 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 1.752388616522955 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 1.752277529012576 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2808.77 it/sec, obj=20.2]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 20.179041747322394
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -11.584857264428393
        INFO - 07:14:59:          cstr2 = -53.715271313888515
        INFO - 07:14:59:          cstr3 = 3.6073850846918276e-05
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 1.823588669105437 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 1.823610098824921 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039516) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 1.823588669105437 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 1.823610098824921 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2792.96 it/sec, obj=19.3]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 19.31704274741805
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -11.761045500685725
        INFO - 07:14:59:          cstr2 = -53.53904269398964
        INFO - 07:14:59:          cstr3 = 1.9897482413711032e-05
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 1.892176476077061 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 1.892191175189622 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.040152) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 1.892176476077061 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 1.892191175189622 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2778.73 it/sec, obj=18.5]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 18.50304766834182
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -11.91320794150552
        INFO - 07:14:59:          cstr2 = -53.38686658612579
        INFO - 07:14:59:          cstr3 = 1.6290651892347796e-05
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      |  1.95836201774338 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 1.958374439015266 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.040117) ***
        INFO - 07:14:59: ...  32%|███▏      | 16/50 [00:00<00:00, 55.38 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      |  1.95836201774338 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 1.958374439015266 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2766.36 it/sec, obj=17.7]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 17.732348004038087
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.043720783556537
        INFO - 07:14:59:          cstr2 = -53.256342241945774
        INFO - 07:14:59:          cstr3 = 1.3382114616433682e-05
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.022382616990152 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.022393121240538 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.040515) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.022382616990152 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.022393121240538 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2793.67 it/sec, obj=17]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 17.000954389919343
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.154578598016688
        INFO - 07:14:59:          cstr2 = -53.14547523083256
        INFO - 07:14:59:          cstr3 = 1.112372472533707e-05
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.084437729731522 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.084446701206397 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039821) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.084437729731522 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.084446701206397 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2791.38 it/sec, obj=16.3]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 16.30545494358224
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.247487820159945
        INFO - 07:14:59:          cstr2 = -53.0525585506805
        INFO - 07:14:59:          cstr3 = 9.341781733951393e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.144697995152375 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.144705723625782 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039921) ***
        INFO - 07:14:59: ...  38%|███▊      | 19/50 [00:01<00:00, 48.50 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.144697995152375 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.144705723625782 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2803.89 it/sec, obj=15.6]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 15.642904546075751
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.323921352239278
        INFO - 07:14:59:          cstr2 = -52.976118905633655
        INFO - 07:14:59:          cstr3 = 7.918085636049454e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.203310700523008 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.203317410168497 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039750) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.203310700523008 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.203317410168497 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2789.86 it/sec, obj=15]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 15.010740057807617
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.385161018109931
        INFO - 07:14:59:          cstr2 = -52.91487417972193
        INFO - 07:14:59:          cstr3 = 6.767595998269371e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.260404026102934 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.260409892408245 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039978) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.260404026102934 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.260409892408245 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2806.00 it/sec, obj=14.4]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 14.40671436156971
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.432330566830654
        INFO - 07:14:59:          cstr2 = -52.867700404654286
        INFO - 07:14:59:          cstr3 = 5.828223912374142e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.316090345245806 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.316095507159964 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039716) ***
        INFO - 07:14:59: ...  44%|████▍     | 22/50 [00:01<00:00, 43.17 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.316090345245806 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.316095507159964 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2762.83 it/sec, obj=13.8]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 13.828844363467137
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.46642168992727
        INFO - 07:14:59:          cstr2 = -52.83360572231145
        INFO - 07:14:59:          cstr3 = 5.053965359991253e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.370468825954106 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.370473394660559 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.040226) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.370468825954106 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.370473394660559 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2820.91 it/sec, obj=13.3]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 13.27536950292725
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.48831477873483
        INFO - 07:14:59:          cstr2 = -52.811709613282154
        INFO - 07:14:59:          cstr3 = 4.4102718916860795e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.423627506497627 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.423631571833792 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039439) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.423627506497627 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.423631571833792 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2813.08 it/sec, obj=12.7]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 12.744718286984694
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.498795665972281
        INFO - 07:14:59:          cstr2 = -52.801226145304284
        INFO - 07:14:59:          cstr3 = 3.870874571987315e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.475644969491541 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.475648604704302 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039580) ***
        INFO - 07:14:59: ...  50%|█████     | 25/50 [00:01<00:00, 38.90 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.475644969491541 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.475648604704302 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2823.65 it/sec, obj=12.2]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 12.235481029876208
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.49856926217808
        INFO - 07:14:59:          cstr2 = -52.80145032968164
        INFO - 07:14:59:          cstr3 = 3.4155702692828527e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.526591705484616 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.526594970794571 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039448) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.526591705484616 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.526594970794571 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2816.07 it/sec, obj=11.7]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 11.746387447065569
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.488270763209497
        INFO - 07:14:59:          cstr2 = -52.81174690860545
        INFO - 07:14:59:          cstr3 = 3.0286559535852575e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.576531233670002 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.576534178972493 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039628) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.576531233670002 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.576534178972493 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2816.58 it/sec, obj=11.3]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 11.276288087191698
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.46847493757269
        INFO - 07:14:59:          cstr2 = -52.83154106402759
        INFO - 07:14:59:          cstr3 = 2.697806259277513e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.625521030590181 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.625523697523561 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039628) ***
        INFO - 07:14:59: ...  56%|█████▌    | 28/50 [00:01<00:00, 35.41 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.625521030590181 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.625523697523561 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2813.52 it/sec, obj=10.8]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 10.824138827797562
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.439703881005212
        INFO - 07:14:59:          cstr2 = -52.86031066026405
        INFO - 07:14:59:          cstr3 = 2.413258648914507e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.673613305574845 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.673615729119723 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039660) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.673613305574845 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.673615729119723 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2813.25 it/sec, obj=10.4]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 10.388987838736117
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.402433536604322
        INFO - 07:14:59:          cstr2 = -52.89757972175886
        INFO - 07:14:59:          cstr3 = 2.1672147170193057e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.720855652738759 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.720857862465956 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039586) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.720855652738759 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.720857862465956 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2822.11 it/sec, obj=9.97]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 9.969964549551625
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.357099212520435
        INFO - 07:14:59:          cstr2 = -52.94291291379632
        INFO - 07:14:59:          cstr3 = 1.9533958521833483e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.767291602740001 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.767293623792794 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039426) ***
        INFO - 07:14:59: ...  62%|██████▏   | 31/50 [00:01<00:00, 32.50 it/sec]
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.767291602740001 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.767293623792794 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2784.79 it/sec, obj=9.56]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 9.566270256721957
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.304100279392163
        INFO - 07:14:59:          cstr2 = -52.995910843848655
        INFO - 07:14:59:          cstr3 = 1.7667094738271771e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.812961092515117 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.812962946388588 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.039972) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.812961092515117 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.812962946388588 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:14:59: ...   8%|▊         | 8/100 [00:00<00:00, 2752.24 it/sec, obj=9.17]
        INFO - 07:14:59: Optimization result:
        INFO - 07:14:59:    Optimizer info:
        INFO - 07:14:59:       Status: None
        INFO - 07:14:59:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:14:59:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:14:59:    Solution:
        INFO - 07:14:59:       The solution is feasible.
        INFO - 07:14:59:       Objective: 9.177170082342574
        INFO - 07:14:59:       Standardized constraints:
        INFO - 07:14:59:          cstr1 = -12.243804191817159
        INFO - 07:14:59:          cstr2 = -53.05620603916764
        INFO - 07:14:59:          cstr3 = 1.6029965053121487e-06
        INFO - 07:14:59:       Design space:
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:       | x1   |      0      | 2.857900867419894 |      5      | float |
        INFO - 07:14:59:       | x2   |      -5     | 2.857902572584027 |      3      | float |
        INFO - 07:14:59:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: *** End MDOScenario execution (time: 0:00:00.040302) ***
        INFO - 07:14:59:  
        INFO - 07:14:59: *** Start MDOScenario execution ***
        INFO - 07:14:59: MDOScenario
        INFO - 07:14:59:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:14:59:    MDO formulation: DisciplinaryOpt
        INFO - 07:14:59: Optimization problem:
        INFO - 07:14:59:    minimize obj2(x1, x2)
        INFO - 07:14:59:    with respect to x1, x2
        INFO - 07:14:59:    subject to constraints:
        INFO - 07:14:59:       cstr1(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr2(x1, x2) <= 0.0
        INFO - 07:14:59:       cstr3(x1, x2) == 0.0
        INFO - 07:14:59:    over the design space:
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59:    | x1   |      0      | 2.857900867419894 |      5      | float |
        INFO - 07:14:59:    | x2   |      -5     | 2.857902572584027 |      3      | float |
        INFO - 07:14:59:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:14:59: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:14:59: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:14:59: 
        INFO - 07:15:00: ...   8%|▊         | 8/100 [00:00<00:00, 2751.27 it/sec, obj=8.8]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 8.801986053932161
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -12.176549949080384
        INFO - 07:15:00:          cstr2 = -53.12345948532793
        INFO - 07:15:00:          cstr3 = 1.4588381560542985e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 2.902144827297359 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     | 2.902146399698745 |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.040468) ***
        INFO - 07:15:00: ...  68%|██████▊   | 34/50 [00:01<00:00, 29.99 it/sec]
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 2.902144827297359 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     | 2.902146399698745 |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
        INFO - 07:15:00: ...   8%|▊         | 8/100 [00:00<00:00, 2780.43 it/sec, obj=8.44]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 8.440091120039419
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -12.102651087844379
        INFO - 07:15:00:          cstr2 = -53.19735763296684
        INFO - 07:15:00:          cstr3 = 1.331406977556071e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 2.945724325743082 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |  2.94572577921162 |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.040096) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 2.945724325743082 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |  2.94572577921162 |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
        INFO - 07:15:00: ...   8%|▊         | 8/100 [00:00<00:00, 2836.63 it/sec, obj=8.09]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 9
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 8.090870387303882
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -12.023044146782937
        INFO - 07:15:00:          cstr2 = -53.2761790966897
        INFO - 07:15:00:          cstr3 = 0.00020079622720459156
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 2.988738006012545 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     | 2.988608546591318 |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.039311) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 2.988738006012545 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     | 2.988608546591318 |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
        INFO - 07:15:00: ...   6%|▌         | 6/100 [00:00<00:00, 3915.23 it/sec, obj=7.76]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 7
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 7.757023645324856
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -12.242976354675143
        INFO - 07:15:00:          cstr2 = -52.68684957831693
        INFO - 07:15:00:          cstr3 = 3.3273386748078337e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.061695677834655 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.029591) ***
        INFO - 07:15:00: ...  74%|███████▍  | 37/50 [00:01<00:00, 28.03 it/sec]
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.061695677834655 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   5%|▌         | 5/100 [00:00<00:00, 4035.90 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 6
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 7.445362573568088
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -12.55463742643191
        INFO - 07:15:00:          cstr2 = -51.88237530806971
        INFO - 07:15:00:          cstr3 = 4.853377205904508e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.143831210916396 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.028541) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.143831210916396 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
        INFO - 07:15:00: ...   6%|▌         | 6/100 [00:00<00:00, 3931.74 it/sec, obj=7.15]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 7
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 7.154620914031879
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -12.84537908596812
        INFO - 07:15:00:          cstr2 = -51.111372431504165
        INFO - 07:15:00:          cstr3 = 4.151890550474491e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.223874747087953 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.029389) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.223874747087953 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5101.63 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 6.883276960536007
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -13.116723039463992
        INFO - 07:15:00:          cstr2 = -50.37140586526117
        INFO - 07:15:00:          cstr3 = 3.579350433824402e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.301978515879139 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023795) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.301978515879139 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5117.88 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 6.629985301431095
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -13.370014698568903
        INFO - 07:15:00:          cstr2 = -49.660322954951624
        INFO - 07:15:00:          cstr3 = 3.107424234372047e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.378277057746577 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023381) ***
        INFO - 07:15:00: ...  82%|████████▏ | 41/50 [00:01<00:00, 26.32 it/sec]
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.378277057746577 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5153.47 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 6.393549214890564
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -13.606450785109434
        INFO - 07:15:00:          cstr2 = -48.97620894882783
        INFO - 07:15:00:          cstr3 = 2.7149464330022965e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.452890044343788 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023160) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.452890044343788 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   5%|▌         | 5/100 [00:00<00:00, 4070.76 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 6
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 6.172898632413595
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -13.827101367586403
        INFO - 07:15:00:          cstr2 = -48.317351739694416
        INFO - 07:15:00:          cstr3 = 2.3858774227392132e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.525924482119862 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.028454) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.525924482119862 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5122.44 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 5.967072131553423
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -14.032927868446574
        INFO - 07:15:00:          cstr2 = -47.682213053482386
        INFO - 07:15:00:          cstr3 = 2.107911811322083e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |      value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.59747651301184 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |        3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023447) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |      value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.59747651301184 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |        3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5150.24 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 5.775202092447151
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -14.224797907552846
        INFO - 07:15:00:          cstr2 = -47.06940469984319
        INFO - 07:15:00:          cstr3 = 1.8715021212756255e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.667632898767327 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023190) ***
        INFO - 07:15:00: ...  90%|█████████ | 45/50 [00:02<00:00, 24.90 it/sec]
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.667632898767327 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5032.22 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 5.5965023641763265
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -14.403497635823681
        INFO - 07:15:00:          cstr2 = -46.47766883842998
        INFO - 07:15:00:          cstr3 = 1.6691638791144214e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.736472254291057 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     | 2.999999999999999 |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023925) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.736472254291057 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     | 2.999999999999999 |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
        INFO - 07:15:00: ...   5%|▌         | 5/100 [00:00<00:00, 4710.80 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 5.430257940980228
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -14.569742059019779
        INFO - 07:15:00:          cstr2 = -45.90586146091414
        INFO - 07:15:00:          cstr3 = 1.4949736311109518e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.804066080011013 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     | 2.999999999999999 |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.025237) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.804066080011013 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     | 2.999999999999999 |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5103.12 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 5.2758162619540165
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -14.724183738046001
        INFO - 07:15:00:          cstr2 = -45.352938470557305
        INFO - 07:15:00:          cstr3 = 1.344202033237707e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.870479631899447 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     | 2.999999999999998 |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023555) ***
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.870479631899447 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     | 2.999999999999998 |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5139.70 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 5.132579832689039
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -14.867420167310959
        INFO - 07:15:00:          cstr2 = -44.81794387687677
        INFO - 07:15:00:          cstr3 = 1.213042054359903e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 3.935772659302045 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023293) ***
        INFO - 07:15:00: ...  98%|█████████▊| 49/50 [00:02<00:00, 23.65 it/sec]
        INFO - 07:15:00:  
        INFO - 07:15:00: *** Start MDOScenario execution ***
        INFO - 07:15:00: MDOScenario
        INFO - 07:15:00:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 07:15:00:    MDO formulation: DisciplinaryOpt
        INFO - 07:15:00: Optimization problem:
        INFO - 07:15:00:    minimize obj2(x1, x2)
        INFO - 07:15:00:    with respect to x1, x2
        INFO - 07:15:00:    subject to constraints:
        INFO - 07:15:00:       cstr1(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr2(x1, x2) <= 0.0
        INFO - 07:15:00:       cstr3(x1, x2) == 0.0
        INFO - 07:15:00:    over the design space:
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:    | x1   |      0      | 3.935772659302045 |      5      | float |
        INFO - 07:15:00:    | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:    +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: Solving optimization problem with algorithm NLOPT_SLSQP:
        INFO - 07:15:00: ...   0%|          | 0/100 [00:00<?, ?it]
        INFO - 07:15:00: 
       ERROR - 07:15:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
        INFO - 07:15:00: ...   4%|▍         | 4/100 [00:00<00:00, 5047.72 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message:  GEMSEO Stopped the driver
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 5
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 4.9999999313496275
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr1 = -15.00000006865037
        INFO - 07:15:00:          cstr2 = -44.299999725398514
        INFO - 07:15:00:          cstr3 = 1.0984059315433115e-06
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | name | lower_bound |       value       | upper_bound | type  |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00:       | x1   |      0      | 4.000000034325185 |      5      | float |
        INFO - 07:15:00:       | x2   |      -5     |         3         |      3      | float |
        INFO - 07:15:00:       +------+-------------+-------------------+-------------+-------+
        INFO - 07:15:00: *** End MDOScenario execution (time: 0:00:00.023726) ***
        INFO - 07:15:00: ... 100%|██████████| 50/50 [00:02<00:00, 23.34 it/sec]
        INFO - 07:15:00: Optimization result:
        INFO - 07:15:00:    Optimizer info:
        INFO - 07:15:00:       Status: None
        INFO - 07:15:00:       Message: None
        INFO - 07:15:00:       Number of calls to the objective function by the optimizer: 50
        INFO - 07:15:00:    Solution:
        INFO - 07:15:00:       The solution is feasible.
        INFO - 07:15:00:       Objective: 0.10832777706440924
        INFO - 07:15:00:       Standardized constraints:
        INFO - 07:15:00:          cstr3 = 0.008327777064409236
        INFO - 07:15:00:       Design space:
        INFO - 07:15:00:       +-------------+-------------+-------+-------------+-------+
        INFO - 07:15:00:       | name        | lower_bound | value | upper_bound | type  |
        INFO - 07:15:00:       +-------------+-------------+-------+-------------+-------+
        INFO - 07:15:00:       | obj1_target |     0.1     |  0.1  |     100     | float |
        INFO - 07:15:00:       +-------------+-------------+-------+-------------+-------+
        INFO - 07:15:00: *** End DOEScenario execution (time: 0:00:02.150441) ***





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

   **Total running time of the script:** ( 0 minutes  2.478 seconds)


.. _sphx_glr_download_examples_post_process_plot_pareto_front_binhkorn_bilevel.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_pareto_front_binhkorn_bilevel.py <plot_pareto_front_binhkorn_bilevel.py>`



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

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


.. only:: html

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

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