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

.. only:: html

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

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

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

.. _sphx_glr_examples_scenario_adapter_plot_multistart_example.py:


Multistart optimization
=======================

Runs simple optimization problem with multiple starting points
Nests a :class:`.MDOScenario` in a :class:`.DOEScenario`
using a :class:`.MDOScenarioAdapter`.

.. GENERATED FROM PYTHON SOURCE LINES 29-40

.. code-block:: default

    from __future__ import annotations

    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

    configure_logger()






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

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 41-43

Create the disciplines
----------------------

.. GENERATED FROM PYTHON SOURCE LINES 43-48

.. code-block:: default

    objective = create_discipline("AnalyticDiscipline", expressions={"obj": "x**3-x+1"})
    constraint = create_discipline(
        "AnalyticDiscipline", expressions={"cstr": "x**2+obj**2-1.5"}
    )








.. GENERATED FROM PYTHON SOURCE LINES 49-51

Create the design space
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 51-54

.. code-block:: default

    design_space = create_design_space()
    design_space.add_variable("x", l_b=-1.5, u_b=1.5, value=1.5)








.. GENERATED FROM PYTHON SOURCE LINES 55-57

Create the MDO scenario
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 57-66

.. code-block:: default

    scenario = create_scenario(
        [objective, constraint],
        formulation="DisciplinaryOpt",
        objective_name="obj",
        design_space=design_space,
    )
    scenario.default_inputs = {"algo": "SLSQP", "max_iter": 10}
    scenario.add_constraint("cstr", "ineq")








.. GENERATED FROM PYTHON SOURCE LINES 67-69

Create the scenario adapter
---------------------------

.. GENERATED FROM PYTHON SOURCE LINES 69-74

.. code-block:: default

    dv_names = scenario.formulation.opt_problem.design_space.variables_names
    adapter = MDOScenarioAdapter(
        scenario, dv_names, ["obj", "cstr"], set_x0_before_opt=True
    )








.. GENERATED FROM PYTHON SOURCE LINES 75-77

Create the DOE scenario
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 77-88

.. code-block:: default

    scenario_doe = create_scenario(
        adapter,
        formulation="DisciplinaryOpt",
        objective_name="obj",
        design_space=design_space,
        scenario_type="DOE",
    )
    scenario_doe.add_constraint("cstr", "ineq")
    run_inputs = {"n_samples": 10, "algo": "fullfact"}
    scenario_doe.execute(run_inputs)





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

 .. code-block:: none

        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start DOEScenario execution ***
        INFO - 16:58:47: DOEScenario
        INFO - 16:58:47:    Disciplines: MDOScenario_adapter
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound | value | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    |  1.5  |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm fullfact:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound | value | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    |  -1.5 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 149.82 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 192.17 it/sec, obj=-.267]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 256.52 it/sec, obj=-.809]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 304.00 it/sec, obj=-.868]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 340.12 it/sec, obj=-.872]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 353.31 it/sec, obj=-.265]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 360.36 it/sec, obj=0.136]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 366.36 it/sec, obj=0.579]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 386.22 it/sec, obj=0.289]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 389.05 it/sec, obj=1.25]
        INFO - 16:58:47: 
     WARNING - 16:58:47: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 12
        INFO - 16:58:47:    Solution:
     WARNING - 16:58:47:       The solution is not feasible.
        INFO - 16:58:47:       Objective: 0.2888129873625884
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = 0.1513713660745195
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | -1.252181466244097 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.036074) ***
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 24.04 it/sec, obj=0.289]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    | -1.166666666666667 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1027.76 it/sec, obj=0.579]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 488.88 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 472.19 it/sec, obj=-.267]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 509.78 it/sec, obj=-.809]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 532.10 it/sec, obj=-.868]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 556.48 it/sec, obj=-.874]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 526.07 it/sec, obj=-.266]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 512.48 it/sec, obj=0.135]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 499.07 it/sec, obj=0.577]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 514.70 it/sec, obj=0.288]
        INFO - 16:58:47: 
     WARNING - 16:58:47: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 12
        INFO - 16:58:47:    Solution:
     WARNING - 16:58:47:       The solution is not feasible.
        INFO - 16:58:47:       Objective: 0.28811314244670916
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = 0.15144075010172386
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | -1.252370379421043 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.024572) ***
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 29.74 it/sec, obj=0.288]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound |        value        | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    | -0.8333333333333334 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1100.87 it/sec, obj=1.25]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 500.42 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 569.93 it/sec, obj=1.01]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 514.95 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 545.59 it/sec, obj=0.819]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 513.18 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 535.39 it/sec, obj=0.693]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 513.55 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 530.02 it/sec, obj=0.584]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 513.11 it/sec, obj=-.875]
        INFO - 16:58:47: 
     WARNING - 16:58:47: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 12
        INFO - 16:58:47:    Solution:
     WARNING - 16:58:47:       The solution is not feasible.
        INFO - 16:58:47:       Objective: 0.5837798748832244
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = 0.19806414473664136
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | -1.165017254128868 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.023641) ***
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 32.32 it/sec, obj=0.584]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound | value | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    |  -0.5 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1038.45 it/sec, obj=1.38]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 513.38 it/sec, obj=2.88]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 560.21 it/sec, obj=1.23]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 521.66 it/sec, obj=2.87]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 541.87 it/sec, obj=0.848]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 506.92 it/sec, obj=0.658]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 476.85 it/sec, obj=0.643]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 459.72 it/sec, obj=0.616]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 450.77 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 440.01 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 13
        INFO - 16:58:47:    Solution:
        INFO - 16:58:47:       The solution is feasible.
        INFO - 16:58:47:       Objective: 0.6150998219543254
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = -0.788285881879476
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | 0.5773788419679762 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.027864) ***
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 32.87 it/sec, obj=0.615]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound |        value        | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    | -0.1666666666666667 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1028.02 it/sec, obj=1.16]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 512.75 it/sec, obj=2.87]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 558.79 it/sec, obj=0.785]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 499.31 it/sec, obj=2.88]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 507.63 it/sec, obj=0.644]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 463.27 it/sec, obj=0.624]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 450.10 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 435.79 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 425.68 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 420.95 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 12
        INFO - 16:58:47:    Solution:
        INFO - 16:58:47:       The solution is feasible.
        INFO - 16:58:47:       Objective: 0.6150998205402495
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = -0.7883188793606977
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | 0.5773502675245377 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.028883) ***
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 32.98 it/sec, obj=0.615]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    | 0.1666666666666667 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1188.52 it/sec, obj=0.838]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 509.26 it/sec, obj=2.88]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 577.30 it/sec, obj=0.656]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 501.47 it/sec, obj=0.639]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 462.90 it/sec, obj=0.616]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 450.83 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 434.93 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 420.58 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 416.65 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 10
        INFO - 16:58:47:    Solution:
        INFO - 16:58:47:       The solution is feasible.
        INFO - 16:58:47:       Objective: 0.6150998205402508
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = -0.7883189092934597
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | 0.5773502416020033 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.025330) ***
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 33.57 it/sec, obj=0.615]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound | value | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    |  0.5  |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1191.90 it/sec, obj=0.625]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 501.44 it/sec, obj=2.87]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 570.03 it/sec, obj=0.616]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 496.65 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 466.81 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 447.62 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 432.88 it/sec, obj=0.615]
        INFO - 16:58:47: 
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 8
        INFO - 16:58:47:    Solution:
        INFO - 16:58:47:       The solution is feasible.
        INFO - 16:58:47:       Objective: 0.6150998205402526
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = -0.7883188285028959
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | 0.5773503115686811 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.019761) ***
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 34.95 it/sec, obj=0.615]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    | 0.8333333333333335 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1131.76 it/sec, obj=0.745]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 508.06 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 471.61 it/sec, obj=-.267]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 498.27 it/sec, obj=-.809]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 521.43 it/sec, obj=-.868]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 539.21 it/sec, obj=-.874]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 517.61 it/sec, obj=-.266]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 504.03 it/sec, obj=0.135]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 489.61 it/sec, obj=0.577]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 505.92 it/sec, obj=0.288]
        INFO - 16:58:47: 
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 12
        INFO - 16:58:47:    Solution:
        INFO - 16:58:47:       The solution is feasible.
        INFO - 16:58:47:       Objective: 0.7453703703703706
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = -0.2499785665294918
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | 0.8333333333333335 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.024617) ***
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 35.29 it/sec, obj=0.745]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+-------------------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound |       value       | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+-------------------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    | 1.166666666666667 |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+-------------------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1001.74 it/sec, obj=1.42]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 486.95 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 482.01 it/sec, obj=-.267]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 507.69 it/sec, obj=-.809]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 524.66 it/sec, obj=-.868]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 529.27 it/sec, obj=-.874]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 505.36 it/sec, obj=-.266]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 489.43 it/sec, obj=0.135]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 482.28 it/sec, obj=0.577]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 495.45 it/sec, obj=0.288]
        INFO - 16:58:47: 
     WARNING - 16:58:47: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 12
        INFO - 16:58:47:    Solution:
     WARNING - 16:58:47:       The solution is not feasible.
        INFO - 16:58:47:       Objective: 0.28811314244698893
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = 0.1514407501016959
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | -1.252370379420967 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.025297) ***
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 35.57 it/sec, obj=0.288]
        INFO - 16:58:47:  
        INFO - 16:58:47: *** Start MDOScenario execution ***
        INFO - 16:58:47: MDOScenario
        INFO - 16:58:47:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 16:58:47:    MDO formulation: DisciplinaryOpt
        INFO - 16:58:47: Optimization problem:
        INFO - 16:58:47:    minimize obj(x)
        INFO - 16:58:47:    with respect to x
        INFO - 16:58:47:    subject to constraints:
        INFO - 16:58:47:       cstr(x) <= 0.0
        INFO - 16:58:47:    over the design space:
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | name | lower_bound | value | upper_bound | type  |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47:    | x    |     -1.5    |  1.5  |     1.5     | float |
        INFO - 16:58:47:    +------+-------------+-------+-------------+-------+
        INFO - 16:58:47: Solving optimization problem with algorithm SLSQP:
        INFO - 16:58:47: ...   0%|          | 0/10 [00:00<?, ?it]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  10%|█         | 1/10 [00:00<00:00, 1020.51 it/sec, obj=2.88]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  20%|██        | 2/10 [00:00<00:00, 504.79 it/sec, obj=-.875]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  30%|███       | 3/10 [00:00<00:00, 471.41 it/sec, obj=-.267]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  40%|████      | 4/10 [00:00<00:00, 515.65 it/sec, obj=-.809]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  50%|█████     | 5/10 [00:00<00:00, 534.22 it/sec, obj=-.868]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  60%|██████    | 6/10 [00:00<00:00, 555.76 it/sec, obj=-.874]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  70%|███████   | 7/10 [00:00<00:00, 521.18 it/sec, obj=-.266]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  80%|████████  | 8/10 [00:00<00:00, 509.78 it/sec, obj=0.135]
        INFO - 16:58:47: 
        INFO - 16:58:47: ...  90%|█████████ | 9/10 [00:00<00:00, 494.76 it/sec, obj=0.577]
        INFO - 16:58:47: 
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 510.62 it/sec, obj=0.288]
        INFO - 16:58:47: 
     WARNING - 16:58:47: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 16:58:47: 
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 12
        INFO - 16:58:47:    Solution:
     WARNING - 16:58:47:       The solution is not feasible.
        INFO - 16:58:47:       Objective: 0.28811314244587316
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = 0.15144075010180735
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |       value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | -1.252370379421268 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+--------------------+-------------+-------+
        INFO - 16:58:47: *** End MDOScenario execution (time: 0:00:00.024862) ***
        INFO - 16:58:47: ... 100%|██████████| 10/10 [00:00<00:00, 35.86 it/sec, obj=0.288]
        INFO - 16:58:47: Optimization result:
        INFO - 16:58:47:    Optimizer info:
        INFO - 16:58:47:       Status: None
        INFO - 16:58:47:       Message: None
        INFO - 16:58:47:       Number of calls to the objective function by the optimizer: 10
        INFO - 16:58:47:    Solution:
        INFO - 16:58:47:       The solution is feasible.
        INFO - 16:58:47:       Objective: 0.6150998205402495
        INFO - 16:58:47:       Standardized constraints:
        INFO - 16:58:47:          cstr = -0.7883188793606977
        INFO - 16:58:47:       Design space: 
        INFO - 16:58:47:       +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47:       | name | lower_bound |        value        | upper_bound | type  |
        INFO - 16:58:47:       +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47:       | x    |     -1.5    | -0.1666666666666667 |     1.5     | float |
        INFO - 16:58:47:       +------+-------------+---------------------+-------------+-------+
        INFO - 16:58:47: *** End DOEScenario execution (time: 0:00:00.288291) ***

    {'eval_jac': False, 'algo': 'fullfact', 'n_samples': 10}



.. GENERATED FROM PYTHON SOURCE LINES 89-91

Plot the optimum objective for different x0
-------------------------------------------

.. GENERATED FROM PYTHON SOURCE LINES 91-92

.. code-block:: default

    scenario_doe.post_process("BasicHistory", variable_names=["obj"], save=False, show=True)



.. image-sg:: /examples/scenario_adapter/images/sphx_glr_plot_multistart_example_001.png
   :alt: History plot
   :srcset: /examples/scenario_adapter/images/sphx_glr_plot_multistart_example_001.png
   :class: sphx-glr-single-img


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

 .. code-block:: none


    <gemseo.post.basic_history.BasicHistory object at 0x7fbc372a1d60>




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

   **Total running time of the script:** ( 0 minutes  0.473 seconds)


.. _sphx_glr_download_examples_scenario_adapter_plot_multistart_example.py:

.. only:: html

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


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

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

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

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


.. only:: html

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

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