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

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_examples_multi_objective_plot_mnbi_poloni.py>`
        to download the full example code

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

.. _sphx_glr_examples_multi_objective_plot_mnbi_poloni.py:


Multi-objective Poloni example with the mNBI algorithm
======================================================

In this example,
the modified Normal Boundary Intersection (mNBI) algorithm is used to
solve the :class:`.Poloni` problem :cite:`POLONI2000403`:

.. math::

    \begin{aligned}
    &a1 = 0.5 * sin(1) - 2 * cos(1) + sin(2) - 1.5 * cos(2)\\
    &a2 = 1.5 * sin(1) - cos(1) + 2 * sin(2) - 0.5 * cos(2)\\
    &b1(x, y) = 0.5 * sin(x) - 2 * cos(x) + sin(y) - 1.5 * cos(y)\\
    &b2(x, y) = 1.5 * sin(x) - cos(x) + 2 * sin(y) - 0.5 * cos(y)\\
    \text{minimize the objective function}\\
    & f_1(x, y) = 1 + (a1 - b1(x,y)^2 + (a2 - b2(x,y))^2 \\
    & f_2(x, y) = (x + 3)^2 + (y + 1)^2 \\
    \text{with respect to the design variables }\\
    &x \\
    \text{subject to the bound constraints }\\
    & -\pi \leq x \leq \pi\\
    & -\pi \leq y \leq \pi
    \end{aligned}

It is an interesting one because its Pareto front is discontinuous.

.. GENERATED FROM PYTHON SOURCE LINES 47-58

.. code-block:: Python


    from __future__ import annotations

    from gemseo import configure_logger
    from gemseo import execute_algo
    from gemseo import execute_post
    from gemseo.problems.analytical.poloni import Poloni

    configure_logger()






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

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 59-65

Solve the Poloni optimization problem
-------------------------------------
The 10 sub-optimization problems of mNBI are solved with SLSQP,
a gradient-based optimization algorithm from the NLOPT library,
with a maximum of 50 iterations.
The analytic gradients are provided.

.. GENERATED FROM PYTHON SOURCE LINES 65-76

.. code-block:: Python


    opt_problem = Poloni()
    result = execute_algo(
        opt_problem,
        "MNBI",
        max_iter=10000,
        sub_optim_max_iter=50,
        n_sub_optim=50,
        sub_optim_algo="SLSQP",
    )





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

 .. code-block:: none

        INFO - 13:53:09: Optimization problem:
        INFO - 13:53:09:    minimize Poloni
        INFO - 13:53:09:    with respect to x, y
        INFO - 13:53:09:    over the design space:
        INFO - 13:53:09:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:09:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
        INFO - 13:53:09:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:09:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:09:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:09:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:09: Solving optimization problem with algorithm MNBI:
        INFO - 13:53:09: Searching for the individual optimum of each objective
        INFO - 13:53:09: Optimization problem:
        INFO - 13:53:09:    minimize f_0
        INFO - 13:53:09:    with respect to x, y
        INFO - 13:53:09:    over the design space:
        INFO - 13:53:09:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:09:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
        INFO - 13:53:09:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:09:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:09:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:09:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:09: Optimization result:
        INFO - 13:53:09:    Optimizer info:
        INFO - 13:53:09:       Status: None
        INFO - 13:53:09:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:09:       Number of calls to the objective function by the optimizer: 10
        INFO - 13:53:09:    Solution:
        INFO - 13:53:09:       Objective: 2.2463319640185718e-26
        INFO - 13:53:09:       Design space:
        INFO - 13:53:09:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:09:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:09:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:09:          | x    | -3.141592653589793 |  -2.999999999999858 | 3.141592653589793 | float |
        INFO - 13:53:09:          | y    | -3.141592653589793 | -0.9999999999999524 | 3.141592653589793 | float |
        INFO - 13:53:09:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize f_1
        INFO - 13:53:10:    with respect to x, y
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:10:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:10:      1%|          | 51/10000 [00:00<00:18, 530.88 it/sec, obj=[24.96950184  1.00002711]]
        INFO - 13:53:10:      1%|          | 52/10000 [00:00<00:18, 532.64 it/sec, obj=[24.97116897  1.00002611]]
        INFO - 13:53:10:      1%|          | 53/10000 [00:00<00:18, 533.83 it/sec, obj=[24.97046821  1.00003218]]
        INFO - 13:53:10:      1%|          | 54/10000 [00:00<00:18, 536.17 it/sec, obj=[24.97086793  1.00002464]]
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        INFO - 13:53:10:      1%|          | 58/10000 [00:00<00:18, 541.32 it/sec, obj=[24.97995311  1.00001713]]
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
        INFO - 13:53:10:       Objective: 1.0000171321654794
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+-------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |       Value       |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+-------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 | 1.000941264187149 | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 | 1.995400159407935 | 3.141592653589793 | float |
        INFO - 13:53:10:          +------+--------------------+-------------------+-------------------+-------+
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.02040816 0.97959184]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        |   0   |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+-------+-------------------+-------+
        INFO - 13:53:10:      1%|          | 59/10000 [00:00<00:21, 470.96 it/sec, obj=[18.55725595  4.81231197]]
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     WARNING - 13:53:10: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
     WARNING - 13:53:10:       The solution is not feasible.
        INFO - 13:53:10:       Objective: -0.01164561234214461
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [0.00063825 0.00623536]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  1.314225868198866  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.359522136777711  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.01164561234214461 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
     WARNING - 13:53:10: No feasible optimum has been found for beta=[0.02040816 0.97959184]
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.04081633 0.95918367]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  1.314225868198866  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.359522136777711  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.01164561234214461 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      1%|          | 108/10000 [00:00<00:18, 521.98 it/sec, obj=[23.18074652  1.27476476]]
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        INFO - 13:53:10:      1%|▏         | 149/10000 [00:00<00:17, 571.13 it/sec, obj=[23.32426588  1.25131679]]
        INFO - 13:53:10:      2%|▏         | 150/10000 [00:00<00:17, 572.19 it/sec, obj=[23.32429535  1.25128087]]
        INFO - 13:53:10:      2%|▏         | 151/10000 [00:00<00:17, 573.34 it/sec, obj=[23.32430324  1.25127126]]
        INFO - 13:53:10:      2%|▏         | 152/10000 [00:00<00:17, 574.48 it/sec, obj=[23.32430535  1.25126868]]
        INFO - 13:53:10:      2%|▏         | 153/10000 [00:00<00:17, 575.52 it/sec, obj=[23.32430591  1.251268  ]]
        INFO - 13:53:10:      2%|▏         | 154/10000 [00:00<00:17, 575.99 it/sec, obj=[23.3500547  1.7321383]]
        INFO - 13:53:10:      2%|▏         | 155/10000 [00:00<00:17, 577.05 it/sec, obj=[23.29583195  1.29651316]]
        INFO - 13:53:10:      2%|▏         | 156/10000 [00:00<00:17, 578.04 it/sec, obj=[23.31593834  1.26209611]]
     WARNING - 13:53:10: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
     WARNING - 13:53:10:       The solution is not feasible.
        INFO - 13:53:10:       Objective: -0.025483658150866638
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [0.00052376 0.00941854]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  1.251341663072848  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.291375227145739  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.02548365815086664 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
     WARNING - 13:53:10: No feasible optimum has been found for beta=[0.04081633 0.95918367]
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.06122449 0.93877551]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  1.251341663072848  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.291375227145739  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.02548365815086664 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      2%|▏         | 157/10000 [00:00<00:18, 543.03 it/sec, obj=[22.5252334   1.49935858]]
        INFO - 13:53:10:      2%|▏         | 158/10000 [00:00<00:18, 543.33 it/sec, obj=[22.64314059  1.4657663 ]]
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        INFO - 13:53:10:      2%|▏         | 197/10000 [00:00<00:16, 578.99 it/sec, obj=[22.52532952  1.49933217]]
        INFO - 13:53:10:      2%|▏         | 198/10000 [00:00<00:16, 579.79 it/sec, obj=[22.52532912  1.49933078]]
        INFO - 13:53:10:      2%|▏         | 199/10000 [00:00<00:16, 580.65 it/sec, obj=[22.52532905  1.49933057]]
        INFO - 13:53:10:      2%|▏         | 200/10000 [00:00<00:16, 581.51 it/sec, obj=[22.52532904  1.49933054]]
        INFO - 13:53:10:      2%|▏         | 201/10000 [00:00<00:16, 582.35 it/sec, obj=[22.52532904  1.49933053]]
        INFO - 13:53:10:      2%|▏         | 202/10000 [00:00<00:16, 582.57 it/sec, obj=[22.61062245  1.68296765]]
        INFO - 13:53:10:      2%|▏         | 203/10000 [00:00<00:16, 583.40 it/sec, obj=[22.53134221  1.51984849]]
        INFO - 13:53:10:      2%|▏         | 204/10000 [00:00<00:16, 584.22 it/sec, obj=[22.5261342   1.50234656]]
        INFO - 13:53:10:      2%|▏         | 205/10000 [00:00<00:16, 584.98 it/sec, obj=[22.52544956  1.49978881]]
     WARNING - 13:53:10: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
     WARNING - 13:53:10:       The solution is not feasible.
        INFO - 13:53:10:       Objective: -0.03233746070320915
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [0.00036062 0.01013368]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  1.202418673146802  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.232222634607576  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.03233746070320915 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
     WARNING - 13:53:10: No feasible optimum has been found for beta=[0.06122449 0.93877551]
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.08163265 0.91836735]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  1.202418673146802  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.232222634607576  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.03233746070320915 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      2%|▏         | 206/10000 [00:00<00:17, 557.79 it/sec, obj=[21.9694404   1.78480125]]
        INFO - 13:53:10:      2%|▏         | 207/10000 [00:00<00:17, 558.01 it/sec, obj=[22.06847374  1.74311099]]
        INFO - 13:53:10:      2%|▏         | 208/10000 [00:00<00:17, 558.84 it/sec, obj=[22.01160189  1.76685463]]
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        INFO - 13:53:10:      2%|▏         | 224/10000 [00:00<00:17, 570.98 it/sec, obj=[21.96949885  1.78477629]]
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        INFO - 13:53:10:      2%|▏         | 230/10000 [00:00<00:16, 574.97 it/sec, obj=[21.97763074  1.7896492 ]]
        INFO - 13:53:10:      2%|▏         | 231/10000 [00:00<00:16, 575.72 it/sec, obj=[21.97030597  1.78526119]]
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        INFO - 13:53:10:      2%|▏         | 241/10000 [00:00<00:16, 582.06 it/sec, obj=[21.97702557  1.79294964]]
        INFO - 13:53:10:      2%|▏         | 242/10000 [00:00<00:16, 582.76 it/sec, obj=[21.97024135  1.78558839]]
        INFO - 13:53:10:      2%|▏         | 243/10000 [00:00<00:16, 583.45 it/sec, obj=[21.9695726  1.7848575]]
        INFO - 13:53:10:      2%|▏         | 244/10000 [00:00<00:16, 584.09 it/sec, obj=[21.96950583  1.78478447]]
        INFO - 13:53:10:      2%|▏         | 245/10000 [00:00<00:16, 584.78 it/sec, obj=[21.96949915  1.78477717]]
        INFO - 13:53:10:      2%|▏         | 246/10000 [00:00<00:16, 585.46 it/sec, obj=[21.96949848  1.78477643]]
        INFO - 13:53:10:      2%|▏         | 247/10000 [00:00<00:16, 586.08 it/sec, obj=[21.96949842  1.78477636]]
        INFO - 13:53:10:      2%|▏         | 248/10000 [00:00<00:16, 586.73 it/sec, obj=[21.96949841  1.78477635]]
        INFO - 13:53:10:      2%|▏         | 249/10000 [00:00<00:16, 587.40 it/sec, obj=[21.96949841  1.78477635]]
        INFO - 13:53:10:      2%|▎         | 250/10000 [00:00<00:16, 588.08 it/sec, obj=[21.96949841  1.78477635]]
        INFO - 13:53:10:      3%|▎         | 251/10000 [00:00<00:16, 588.23 it/sec, obj=[22.05431215  1.87914499]]
        INFO - 13:53:10:      3%|▎         | 252/10000 [00:00<00:16, 588.82 it/sec, obj=[21.97690916  1.79359397]]
        INFO - 13:53:10:      3%|▎         | 253/10000 [00:00<00:16, 589.39 it/sec, obj=[21.97022878  1.78565214]]
        INFO - 13:53:10:      3%|▎         | 254/10000 [00:00<00:16, 589.98 it/sec, obj=[21.96957134  1.78486387]]
     WARNING - 13:53:10: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
     WARNING - 13:53:10:       The solution is not feasible.
        INFO - 13:53:10:       Objective: -0.03492805470593496
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [0.00020164 0.00645396]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  1.158882982754278  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.184528798349672  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.03492805470593496 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
     WARNING - 13:53:10: No feasible optimum has been found for beta=[0.08163265 0.91836735]
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.10204082 0.89795918]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  1.158882982754278  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.184528798349672  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.03492805470593496 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      3%|▎         | 255/10000 [00:00<00:17, 565.34 it/sec, obj=[21.47712757  2.10858338]]
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        INFO - 13:53:10:      3%|▎         | 292/10000 [00:00<00:16, 585.53 it/sec, obj=[21.55998627  2.06100797]]
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        INFO - 13:53:10:      3%|▎         | 296/10000 [00:00<00:16, 587.72 it/sec, obj=[21.56004222  2.06027993]]
        INFO - 13:53:10:      3%|▎         | 297/10000 [00:00<00:16, 588.28 it/sec, obj=[21.56004223  2.06027986]]
        INFO - 13:53:10:      3%|▎         | 298/10000 [00:00<00:16, 588.74 it/sec, obj=[21.56004223  2.06027986]]
        INFO - 13:53:10:      3%|▎         | 299/10000 [00:00<00:16, 589.27 it/sec, obj=[21.56004223  2.06027985]]
        INFO - 13:53:10:      3%|▎         | 300/10000 [00:00<00:16, 589.82 it/sec, obj=[21.56004223  2.06027985]]
        INFO - 13:53:10:      3%|▎         | 301/10000 [00:00<00:16, 589.97 it/sec, obj=[21.55661092  2.13555679]]
        INFO - 13:53:10:      3%|▎         | 302/10000 [00:00<00:16, 590.50 it/sec, obj=[21.55950236  2.0675826 ]]
        INFO - 13:53:10:      3%|▎         | 303/10000 [00:00<00:16, 591.04 it/sec, obj=[21.55998627  2.06100791]]
     WARNING - 13:53:10: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
     WARNING - 13:53:10:       The solution is not feasible.
        INFO - 13:53:10:       Objective: -0.03486951209708061
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [0.0001027  0.00081537]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  1.116795160377279  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.147566025971696  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.03486951209708061 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
     WARNING - 13:53:10: No feasible optimum has been found for beta=[0.10204082 0.89795918]
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.12244898 0.87755102]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  1.116795160377279  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.147566025971696  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.03486951209708061 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      3%|▎         | 304/10000 [00:00<00:16, 571.70 it/sec, obj=[21.02633231  2.45832411]]
        INFO - 13:53:10:      3%|▎         | 305/10000 [00:00<00:16, 571.86 it/sec, obj=[21.09551504  2.4048758 ]]
        INFO - 13:53:10:      3%|▎         | 306/10000 [00:00<00:16, 571.61 it/sec, obj=[21.09157362  2.41042657]]
        INFO - 13:53:10:      3%|▎         | 307/10000 [00:00<00:16, 571.40 it/sec, obj=[21.09359723  2.42595428]]
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        INFO - 13:53:10:      3%|▎         | 343/10000 [00:00<00:16, 588.10 it/sec, obj=[21.09157555  2.41044271]]
        INFO - 13:53:10:      3%|▎         | 344/10000 [00:00<00:16, 588.58 it/sec, obj=[21.09157381  2.41042819]]
        INFO - 13:53:10:      3%|▎         | 345/10000 [00:00<00:16, 589.01 it/sec, obj=[21.09157364  2.41042673]]
        INFO - 13:53:10:      3%|▎         | 346/10000 [00:00<00:16, 589.49 it/sec, obj=[21.09157362  2.41042659]]
        INFO - 13:53:10:      3%|▎         | 347/10000 [00:00<00:16, 589.95 it/sec, obj=[21.09157362  2.41042657]]
        INFO - 13:53:10:      3%|▎         | 348/10000 [00:00<00:16, 590.38 it/sec, obj=[21.09157362  2.41042657]]
        INFO - 13:53:10:      3%|▎         | 349/10000 [00:00<00:16, 590.83 it/sec, obj=[21.09157362  2.41042657]]
        INFO - 13:53:10:      4%|▎         | 350/10000 [00:00<00:16, 591.29 it/sec, obj=[21.09157362  2.41042657]]
        INFO - 13:53:10:      4%|▎         | 351/10000 [00:00<00:16, 591.43 it/sec, obj=[21.09359303  2.42666408]]
        INFO - 13:53:10:      4%|▎         | 352/10000 [00:00<00:16, 591.88 it/sec, obj=[21.09176693  2.41204112]]
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
        INFO - 13:53:10:       The solution is feasible.
        INFO - 13:53:10:       Objective: -0.03305554383985526
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [ 5.76258689e-05 -5.08326588e-03]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  1.074706865472084  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.119499704267622  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.03305554383985526 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.14285714 0.85714286]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  1.074706865472084  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.119499704267622  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.03305554383985526 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      4%|▎         | 353/10000 [00:00<00:16, 575.28 it/sec, obj=[20.6045969   2.82720643]]
        INFO - 13:53:10:      4%|▎         | 354/10000 [00:00<00:16, 575.42 it/sec, obj=[20.66249675  2.76967802]]
        INFO - 13:53:10:      4%|▎         | 355/10000 [00:00<00:16, 575.27 it/sec, obj=[20.6549184   2.77285855]]
        INFO - 13:53:10:      4%|▎         | 356/10000 [00:00<00:16, 575.14 it/sec, obj=[20.6528165  2.7616309]]
        INFO - 13:53:10:      4%|▎         | 357/10000 [00:00<00:16, 575.04 it/sec, obj=[20.64385971  2.75665503]]
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        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
        INFO - 13:53:10:       The solution is feasible.
        INFO - 13:53:10:       Objective: -0.03106467336337866
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [1.07482805e-06 3.59617989e-05]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  1.022660773241064  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.110354396290455  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.03106467336337866 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.16326531 0.83673469]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  1.022660773241064  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.110354396290455  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.03106467336337866 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      4%|▍         | 402/10000 [00:00<00:16, 565.59 it/sec, obj=[20.18393269  3.20103377]]
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        INFO - 13:53:10:      4%|▍         | 445/10000 [00:00<00:16, 578.71 it/sec, obj=[20.1971732   3.13043478]]
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        INFO - 13:53:10:      4%|▍         | 447/10000 [00:00<00:16, 579.43 it/sec, obj=[20.19717319  3.13043454]]
        INFO - 13:53:10:      4%|▍         | 448/10000 [00:00<00:16, 579.71 it/sec, obj=[20.19717319  3.13043454]]
        INFO - 13:53:10:      4%|▍         | 449/10000 [00:00<00:16, 580.04 it/sec, obj=[20.19717319  3.13043454]]
        INFO - 13:53:10:      4%|▍         | 450/10000 [00:00<00:16, 580.42 it/sec, obj=[20.19717319  3.13043454]]
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
        INFO - 13:53:10:       The solution is feasible.
        INFO - 13:53:10:       Objective: -0.027790469244029486
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [ 6.37143059e-05 -1.54847368e-02]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  0.9694784972869636 | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.109666555984181  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.02779046924402949 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.18367347 0.81632653]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  0.9694784972869636 | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.109666555984181  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.02779046924402949 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      5%|▍         | 451/10000 [00:00<00:16, 567.50 it/sec, obj=[19.77312354  3.58820597]]
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        INFO - 13:53:10:      5%|▍         | 492/10000 [00:00<00:16, 578.05 it/sec, obj=[19.78646097  3.51496764]]
        INFO - 13:53:10:      5%|▍         | 493/10000 [00:00<00:16, 578.39 it/sec, obj=[19.78645999  3.51494608]]
        INFO - 13:53:10:      5%|▍         | 494/10000 [00:00<00:16, 578.71 it/sec, obj=[19.78645989  3.51494393]]
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        INFO - 13:53:10:      5%|▍         | 496/10000 [00:00<00:16, 579.39 it/sec, obj=[19.78645988  3.51494369]]
        INFO - 13:53:10:      5%|▍         | 497/10000 [00:00<00:16, 579.73 it/sec, obj=[19.78645988  3.51494369]]
        INFO - 13:53:10:      5%|▍         | 498/10000 [00:00<00:16, 580.04 it/sec, obj=[19.78645988  3.51494369]]
        INFO - 13:53:10:      5%|▍         | 499/10000 [00:00<00:16, 580.37 it/sec, obj=[19.78645988  3.51494369]]
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
        INFO - 13:53:10:       The solution is feasible.
        INFO - 13:53:10:       Objective: -0.02384257535180628
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [ 5.59538081e-05 -1.56544106e-02]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  0.9182182410763994 | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.108040278426651  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.02384257535180628 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.20408163 0.79591837]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  0.9182182410763994 | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.108040278426651  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.02384257535180628 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      5%|▌         | 500/10000 [00:00<00:16, 568.42 it/sec, obj=[19.38602692  3.98801093]]
        INFO - 13:53:10:      5%|▌         | 501/10000 [00:00<00:16, 568.55 it/sec, obj=[19.43404083  3.9214673 ]]
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        INFO - 13:53:10:      5%|▌         | 541/10000 [00:00<00:16, 577.89 it/sec, obj=[19.39774802  3.91334804]]
        INFO - 13:53:10:      5%|▌         | 542/10000 [00:00<00:16, 578.18 it/sec, obj=[19.39774684  3.91332639]]
        INFO - 13:53:10:      5%|▌         | 543/10000 [00:00<00:16, 578.47 it/sec, obj=[19.39774673  3.91332422]]
        INFO - 13:53:10:      5%|▌         | 544/10000 [00:00<00:16, 578.79 it/sec, obj=[19.39774672  3.913324  ]]
        INFO - 13:53:10:      5%|▌         | 545/10000 [00:00<00:16, 579.10 it/sec, obj=[19.39774671  3.91332398]]
        INFO - 13:53:10:      5%|▌         | 546/10000 [00:00<00:16, 579.22 it/sec, obj=[19.39774671  3.91332398]]
        INFO - 13:53:10:      5%|▌         | 547/10000 [00:00<00:16, 579.52 it/sec, obj=[19.39774671  3.91332398]]
        INFO - 13:53:10:      5%|▌         | 548/10000 [00:00<00:16, 579.83 it/sec, obj=[19.39774671  3.91332398]]
        INFO - 13:53:10: Optimization result:
        INFO - 13:53:10:    Optimizer info:
        INFO - 13:53:10:       Status: None
        INFO - 13:53:10:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:10:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:10:    Solution:
        INFO - 13:53:10:       The solution is feasible.
        INFO - 13:53:10:       Objective: -0.019008335163205423
        INFO - 13:53:10:       Standardized constraints:
        INFO - 13:53:10:          beta_sub_optim_constraint = [ 5.08396460e-05 -1.59336477e-02]
        INFO - 13:53:10:       Design space:
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:          | x    | -3.141592653589793 |  0.869162511345429  | 3.141592653589793 | float |
        INFO - 13:53:10:          | y    | -3.141592653589793 |  1.106373299903344  | 3.141592653589793 | float |
        INFO - 13:53:10:          | t    |        -inf        | 0.01900833516320542 |        inf        | float |
        INFO - 13:53:10:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.2244898 0.7755102]
        INFO - 13:53:10: Optimization problem:
        INFO - 13:53:10:    minimize -t_extraction
        INFO - 13:53:10:    with respect to t, x, y
        INFO - 13:53:10:    subject to constraints:
        INFO - 13:53:10:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:10:    over the design space:
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:       | x    | -3.141592653589793 |  0.869162511345429  | 3.141592653589793 | float |
        INFO - 13:53:10:       | y    | -3.141592653589793 |  1.106373299903344  | 3.141592653589793 | float |
        INFO - 13:53:10:       | t    |        -inf        | 0.01900833516320542 |        inf        | float |
        INFO - 13:53:10:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:10:      5%|▌         | 549/10000 [00:00<00:16, 568.68 it/sec, obj=[19.01733002  4.39977863]]
        INFO - 13:53:10:      6%|▌         | 550/10000 [00:00<00:16, 568.78 it/sec, obj=[19.06364498  4.33051689]]
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        INFO - 13:53:10:      6%|▌         | 586/10000 [00:01<00:16, 576.51 it/sec, obj=[19.02734031  4.32321363]]
        INFO - 13:53:10:      6%|▌         | 587/10000 [00:01<00:16, 576.77 it/sec, obj=[19.02734031  4.32321363]]
        INFO - 13:53:10:      6%|▌         | 588/10000 [00:01<00:16, 576.88 it/sec, obj=[19.02746323  4.32573529]]
        INFO - 13:53:10:      6%|▌         | 589/10000 [00:01<00:16, 577.16 it/sec, obj=[19.02735252  4.32346568]]
        INFO - 13:53:10:      6%|▌         | 590/10000 [00:01<00:16, 577.42 it/sec, obj=[19.02734153  4.32323883]]
        INFO - 13:53:10:      6%|▌         | 591/10000 [00:01<00:16, 577.69 it/sec, obj=[19.02734044  4.32321615]]
        INFO - 13:53:10:      6%|▌         | 592/10000 [00:01<00:16, 577.98 it/sec, obj=[19.02734033  4.32321388]]
        INFO - 13:53:10:      6%|▌         | 593/10000 [00:01<00:16, 578.24 it/sec, obj=[19.02734032  4.32321365]]
        INFO - 13:53:10:      6%|▌         | 594/10000 [00:01<00:16, 578.51 it/sec, obj=[19.02734031  4.32321363]]
        INFO - 13:53:10:      6%|▌         | 595/10000 [00:01<00:16, 578.78 it/sec, obj=[19.02734031  4.32321363]]
        INFO - 13:53:10:      6%|▌         | 596/10000 [00:01<00:16, 579.06 it/sec, obj=[19.02734031  4.32321363]]
        INFO - 13:53:11:      6%|▌         | 597/10000 [00:01<00:16, 579.30 it/sec, obj=[19.02734031  4.32321363]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: -0.013431977351371482
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [ 4.84833632e-05 -1.65232077e-02]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.8217918027494558 | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |   1.10490718870699  | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | 0.01343197735137148 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.24489796 0.75510204]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.8217918027494558 | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |   1.10490718870699  | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | 0.01343197735137148 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:      6%|▌         | 598/10000 [00:01<00:16, 567.66 it/sec, obj=[18.66401697  4.82161481]]
        INFO - 13:53:11:      6%|▌         | 599/10000 [00:01<00:16, 567.74 it/sec, obj=[18.70907709  4.74945201]]
        INFO - 13:53:11:      6%|▌         | 600/10000 [00:01<00:16, 567.67 it/sec, obj=[18.70006403  4.75294223]]
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        INFO - 13:53:11:      6%|▋         | 640/10000 [00:01<00:16, 576.17 it/sec, obj=[18.67226196  4.74273351]]
        INFO - 13:53:11:      6%|▋         | 641/10000 [00:01<00:16, 576.43 it/sec, obj=[18.67226188  4.74273106]]
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        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: -0.007234238774027523
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [ 4.81362403e-05 -1.74108279e-02]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.7756813943462906  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.103801505716712   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | 0.007234238774027523 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.26530612 0.73469388]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.7756813943462906  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.103801505716712   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | 0.007234238774027523 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:      6%|▋         | 647/10000 [00:01<00:16, 567.39 it/sec, obj=[18.32362144  5.25195205]]
        INFO - 13:53:11:      6%|▋         | 648/10000 [00:01<00:16, 567.44 it/sec, obj=[18.36780717  5.17666812]]
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        INFO - 13:53:11:      6%|▋         | 650/10000 [00:01<00:16, 567.27 it/sec, obj=[18.35417742  5.15820441]]
        INFO - 13:53:11:      7%|▋         | 651/10000 [00:01<00:16, 567.22 it/sec, obj=[18.33981652  5.15779502]]
        INFO - 13:53:11:      7%|▋         | 652/10000 [00:01<00:16, 567.15 it/sec, obj=[18.33004888  5.17031249]]
        INFO - 13:53:11:      7%|▋         | 653/10000 [00:01<00:16, 567.08 it/sec, obj=[18.33007395  5.17346763]]
        INFO - 13:53:11:      7%|▋         | 654/10000 [00:01<00:16, 567.19 it/sec, obj=[18.3300513   5.17062786]]
        INFO - 13:53:11:      7%|▋         | 655/10000 [00:01<00:16, 567.42 it/sec, obj=[18.33004912  5.17034402]]
        INFO - 13:53:11:      7%|▋         | 656/10000 [00:01<00:16, 567.51 it/sec, obj=[18.3300489   5.17031564]]
        INFO - 13:53:11:      7%|▋         | 657/10000 [00:01<00:16, 567.59 it/sec, obj=[18.33004888  5.1703128 ]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 14
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: -0.0009035817791115461
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [1.69595945e-06 5.37040866e-05]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |    0.72918014826682   | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |   1.103155795930865   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | 0.0009035817791115461 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.28571429 0.71428571]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |    0.72918014826682   | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |   1.103155795930865   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | 0.0009035817791115461 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:      7%|▋         | 658/10000 [00:01<00:16, 558.04 it/sec, obj=[17.99434926  5.68685809]]
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        INFO - 13:53:11:      7%|▋         | 702/10000 [00:01<00:16, 561.49 it/sec, obj=[17.99865985  5.60481319]]
        INFO - 13:53:11:      7%|▋         | 703/10000 [00:01<00:16, 561.55 it/sec, obj=[17.99865991  5.60478436]]
        INFO - 13:53:11:      7%|▋         | 704/10000 [00:01<00:16, 561.50 it/sec, obj=[17.99865502  5.60798416]]
        INFO - 13:53:11:      7%|▋         | 705/10000 [00:01<00:16, 561.61 it/sec, obj=[17.99865934  5.60510421]]
        INFO - 13:53:11:      7%|▋         | 706/10000 [00:01<00:16, 561.85 it/sec, obj=[17.99865986  5.60481634]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.0062383765398206755
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [1.82156691e-06 6.08028803e-06]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |   0.6845291143984985  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |   1.103070382411159   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.006238376539820675 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.30612245 0.69387755]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |   0.6845291143984985  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |   1.103070382411159   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.006238376539820675 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:11:      7%|▋         | 707/10000 [00:01<00:16, 553.18 it/sec, obj=[17.67384396  6.13020637]]
        INFO - 13:53:11:      7%|▋         | 708/10000 [00:01<00:16, 553.28 it/sec, obj=[17.71581018  6.05060437]]
        INFO - 13:53:11:      7%|▋         | 709/10000 [00:01<00:16, 553.21 it/sec, obj=[17.7061658   6.05523269]]
        INFO - 13:53:11:      7%|▋         | 710/10000 [00:01<00:16, 553.19 it/sec, obj=[17.70157564  6.03105643]]
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        INFO - 13:53:11:      7%|▋         | 712/10000 [00:01<00:16, 553.14 it/sec, obj=[17.67616196  6.04448762]]
        INFO - 13:53:11:      7%|▋         | 713/10000 [00:01<00:16, 553.12 it/sec, obj=[17.67593996  6.0486108 ]]
        INFO - 13:53:11:      7%|▋         | 714/10000 [00:01<00:16, 553.21 it/sec, obj=[17.67613966  6.04489975]]
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        INFO - 13:53:11:      7%|▋         | 727/10000 [00:01<00:16, 554.20 it/sec, obj=[17.67613304  6.04830486]]
        INFO - 13:53:11:      7%|▋         | 728/10000 [00:01<00:16, 554.31 it/sec, obj=[17.67613888  6.04524937]]
        INFO - 13:53:11:      7%|▋         | 729/10000 [00:01<00:16, 554.53 it/sec, obj=[17.67613955  6.04494395]]
        INFO - 13:53:11:      7%|▋         | 730/10000 [00:01<00:16, 554.60 it/sec, obj=[17.67613962  6.04491341]]
        INFO - 13:53:11:      7%|▋         | 731/10000 [00:01<00:16, 554.56 it/sec, obj=[17.67613471  6.04830254]]
        INFO - 13:53:11:      7%|▋         | 732/10000 [00:01<00:16, 554.67 it/sec, obj=[17.67613904  6.04525219]]
        INFO - 13:53:11:      7%|▋         | 733/10000 [00:01<00:16, 554.90 it/sec, obj=[17.67613956  6.04494729]]
        INFO - 13:53:11:      7%|▋         | 734/10000 [00:01<00:16, 554.97 it/sec, obj=[17.67613961  6.0449168 ]]
        INFO - 13:53:11:      7%|▋         | 735/10000 [00:01<00:16, 554.95 it/sec, obj=[17.67613638  6.04830022]]
        INFO - 13:53:11:      7%|▋         | 736/10000 [00:01<00:16, 555.03 it/sec, obj=[17.6761392   6.04525501]]
        INFO - 13:53:11:      7%|▋         | 737/10000 [00:01<00:16, 555.27 it/sec, obj=[17.67613957  6.04495062]]
        INFO - 13:53:11:      7%|▋         | 738/10000 [00:01<00:16, 555.36 it/sec, obj=[17.67613961  6.04492018]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 35
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.013735364003237514
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [2.08863927e-06 1.72517344e-05]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.6401665080925247  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.103646197076718   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.01373536400323751 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.32653061 0.67346939]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.6401665080925247  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.103646197076718   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.01373536400323751 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:      7%|▋         | 739/10000 [00:01<00:16, 547.25 it/sec, obj=[17.36073212  6.57853985]]
        INFO - 13:53:11:      7%|▋         | 740/10000 [00:01<00:16, 547.34 it/sec, obj=[17.40265972  6.49523069]]
        INFO - 13:53:11:      7%|▋         | 741/10000 [00:01<00:16, 547.29 it/sec, obj=[17.39257704  6.50030673]]
        INFO - 13:53:11:      7%|▋         | 742/10000 [00:01<00:16, 547.27 it/sec, obj=[17.3877491   6.47468919]]
        INFO - 13:53:11:      7%|▋         | 743/10000 [00:01<00:16, 547.24 it/sec, obj=[17.37238354  6.47305763]]
        INFO - 13:53:11:      7%|▋         | 744/10000 [00:01<00:16, 547.22 it/sec, obj=[17.36094821  6.48882047]]
        INFO - 13:53:11:      7%|▋         | 745/10000 [00:01<00:16, 547.20 it/sec, obj=[17.36053482  6.49370304]]
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        INFO - 13:53:11:      8%|▊         | 750/10000 [00:01<00:16, 547.45 it/sec, obj=[17.36077682  6.49339971]]
        INFO - 13:53:11:      8%|▊         | 751/10000 [00:01<00:16, 547.53 it/sec, obj=[17.3608907   6.48978951]]
        INFO - 13:53:11:      8%|▊         | 752/10000 [00:01<00:16, 547.77 it/sec, obj=[17.36090218  6.48942865]]
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        INFO - 13:53:11:      8%|▊         | 759/10000 [00:01<00:16, 548.31 it/sec, obj=[17.36083141  6.49331724]]
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        INFO - 13:53:11:      8%|▊         | 761/10000 [00:01<00:16, 548.63 it/sec, obj=[17.36089952  6.48954486]]
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        INFO - 13:53:11:      8%|▊         | 763/10000 [00:01<00:16, 548.69 it/sec, obj=[17.3608944   6.48991939]]
        INFO - 13:53:11:      8%|▊         | 764/10000 [00:01<00:16, 548.92 it/sec, obj=[17.36089901  6.48958231]]
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        INFO - 13:53:11:      8%|▊         | 768/10000 [00:01<00:16, 549.00 it/sec, obj=[17.36088436  6.49324125]]
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        INFO - 13:53:11:      8%|▊         | 777/10000 [00:01<00:16, 549.81 it/sec, obj=[17.36089748  6.48998676]]
        INFO - 13:53:11:      8%|▊         | 778/10000 [00:01<00:16, 550.02 it/sec, obj=[17.36089853  6.4896624 ]]
        INFO - 13:53:11:      8%|▊         | 779/10000 [00:01<00:16, 550.10 it/sec, obj=[17.36089864  6.48962997]]
        INFO - 13:53:11:      8%|▊         | 780/10000 [00:01<00:16, 550.07 it/sec, obj=[17.36088955  6.49322925]]
        INFO - 13:53:11:      8%|▊         | 781/10000 [00:01<00:16, 550.18 it/sec, obj=[17.36089764  6.48998976]]
        INFO - 13:53:11:      8%|▊         | 782/10000 [00:01<00:16, 550.40 it/sec, obj=[17.36089854  6.48966595]]
        INFO - 13:53:11:      8%|▊         | 783/10000 [00:01<00:16, 550.46 it/sec, obj=[17.36089863  6.48963357]]
        INFO - 13:53:11:      8%|▊         | 784/10000 [00:01<00:16, 550.45 it/sec, obj=[17.36089127  6.49322678]]
        INFO - 13:53:11:      8%|▊         | 785/10000 [00:01<00:16, 550.45 it/sec, obj=[17.36089781  6.48999275]]
        INFO - 13:53:11:      8%|▊         | 786/10000 [00:01<00:16, 550.67 it/sec, obj=[17.36089854  6.48966948]]
        INFO - 13:53:11:      8%|▊         | 787/10000 [00:01<00:16, 550.75 it/sec, obj=[17.36089862  6.48963716]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.021523411179742453
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [2.41310665e-06 9.31739372e-05]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.5958512486356334  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.104933192067993   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.02152341117974245 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.34693878 0.65306122]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.5958512486356334  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.104933192067993   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.02152341117974245 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:      8%|▊         | 788/10000 [00:01<00:16, 543.13 it/sec, obj=[17.05358529  7.03096101]]
        INFO - 13:53:11:      8%|▊         | 789/10000 [00:01<00:16, 543.22 it/sec, obj=[17.09572771  6.94360944]]
        INFO - 13:53:11:      8%|▊         | 790/10000 [00:01<00:16, 543.17 it/sec, obj=[17.08511839  6.9491705 ]]
        INFO - 13:53:11:      8%|▊         | 791/10000 [00:01<00:16, 543.16 it/sec, obj=[17.0800086  6.9219358]]
        INFO - 13:53:11:      8%|▊         | 792/10000 [00:01<00:16, 543.02 it/sec, obj=[17.06394272  6.91931201]]
        INFO - 13:53:11:      8%|▊         | 793/10000 [00:01<00:16, 543.02 it/sec, obj=[17.05146723  6.93660009]]
        INFO - 13:53:11:      8%|▊         | 794/10000 [00:01<00:16, 542.99 it/sec, obj=[17.05078907  6.94245306]]
        INFO - 13:53:11:      8%|▊         | 795/10000 [00:01<00:16, 543.10 it/sec, obj=[17.05136579  6.93747351]]
        INFO - 13:53:11:      8%|▊         | 796/10000 [00:01<00:16, 543.06 it/sec, obj=[17.05112824  6.94223565]]
        INFO - 13:53:11:      8%|▊         | 797/10000 [00:01<00:16, 543.16 it/sec, obj=[17.05134193  6.93794951]]
        INFO - 13:53:11:      8%|▊         | 798/10000 [00:01<00:16, 543.14 it/sec, obj=[17.05133525  6.94188399]]
        INFO - 13:53:11:      8%|▊         | 799/10000 [00:01<00:16, 543.23 it/sec, obj=[17.05134117  6.93834281]]
        INFO - 13:53:11:      8%|▊         | 800/10000 [00:01<00:16, 543.45 it/sec, obj=[17.05134185  6.93798884]]
        INFO - 13:53:11:      8%|▊         | 801/10000 [00:01<00:16, 543.51 it/sec, obj=[17.05134192  6.93795345]]
        INFO - 13:53:11:      8%|▊         | 802/10000 [00:01<00:16, 543.51 it/sec, obj=[17.05133712  6.94182092]]
        INFO - 13:53:11:      8%|▊         | 803/10000 [00:01<00:16, 543.61 it/sec, obj=[17.05134135  6.93834005]]
        INFO - 13:53:11:      8%|▊         | 804/10000 [00:01<00:16, 543.81 it/sec, obj=[17.05134186  6.93799211]]
        INFO - 13:53:11:      8%|▊         | 805/10000 [00:01<00:16, 543.90 it/sec, obj=[17.05134191  6.93795731]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 21
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.029539690922855077
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [2.98645685e-06 3.26203833e-05]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.5512783178690076  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.107074787088362   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.02953969092285508 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.36734694 0.63265306]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.5512783178690076  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.107074787088362   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.02953969092285508 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:      8%|▊         | 806/10000 [00:01<00:17, 536.76 it/sec, obj=[16.75084733  7.4865978 ]]
        INFO - 13:53:11:      8%|▊         | 807/10000 [00:01<00:17, 536.85 it/sec, obj=[16.79350047  7.39476575]]
        INFO - 13:53:11:      8%|▊         | 808/10000 [00:01<00:17, 536.83 it/sec, obj=[16.78226846  7.40091577]]
        INFO - 13:53:11:      8%|▊         | 809/10000 [00:01<00:17, 536.82 it/sec, obj=[16.77685776  7.37194629]]
        INFO - 13:53:11:      8%|▊         | 810/10000 [00:01<00:17, 536.82 it/sec, obj=[16.76001104  7.36779231]]
        INFO - 13:53:11:      8%|▊         | 811/10000 [00:01<00:17, 536.79 it/sec, obj=[16.74621705  7.38680013]]
        INFO - 13:53:11:      8%|▊         | 812/10000 [00:01<00:17, 536.78 it/sec, obj=[16.74516725  7.39386072]]
        INFO - 13:53:11:      8%|▊         | 813/10000 [00:01<00:17, 536.87 it/sec, obj=[16.74599715  7.38827654]]
        INFO - 13:53:11:      8%|▊         | 814/10000 [00:01<00:17, 536.86 it/sec, obj=[16.74569199  7.39370546]]
        INFO - 13:53:11:      8%|▊         | 815/10000 [00:01<00:17, 536.96 it/sec, obj=[16.74596651  7.38881918]]
        INFO - 13:53:11:      8%|▊         | 816/10000 [00:01<00:17, 536.95 it/sec, obj=[16.74592061  7.39324242]]
        INFO - 13:53:11:      8%|▊         | 817/10000 [00:01<00:17, 537.04 it/sec, obj=[16.74596182  7.38926132]]
        INFO - 13:53:11:      8%|▊         | 818/10000 [00:01<00:17, 537.25 it/sec, obj=[16.74596604  7.38886339]]
        INFO - 13:53:11:      8%|▊         | 819/10000 [00:01<00:17, 537.24 it/sec, obj=[16.74594069  7.39315026]]
        INFO - 13:53:11:      8%|▊         | 820/10000 [00:01<00:17, 537.33 it/sec, obj=[16.74596341  7.38929191]]
        INFO - 13:53:11:      8%|▊         | 821/10000 [00:01<00:17, 537.55 it/sec, obj=[16.74596577  7.38890624]]
        INFO - 13:53:11:      8%|▊         | 822/10000 [00:01<00:17, 537.51 it/sec, obj=[16.74596027  7.39312116]]
        INFO - 13:53:11:      8%|▊         | 823/10000 [00:01<00:17, 537.60 it/sec, obj=[16.74596513  7.38932757]]
        INFO - 13:53:11:      8%|▊         | 824/10000 [00:01<00:17, 537.82 it/sec, obj=[16.74596571  7.38894837]]
        INFO - 13:53:11:      8%|▊         | 825/10000 [00:01<00:17, 537.90 it/sec, obj=[16.74596577  7.38891045]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 23
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.037722975310157315
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [3.74685509e-06 3.86679289e-05]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.5061796918898194  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.110134990166551   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.03772297531015732 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.3877551 0.6122449]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.5061796918898194  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.110134990166551   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.03772297531015732 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:      8%|▊         | 826/10000 [00:01<00:17, 531.16 it/sec, obj=[16.4511722  7.9445902]]
        INFO - 13:53:11:      8%|▊         | 827/10000 [00:01<00:17, 531.26 it/sec, obj=[16.49462106  7.84779384]]
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        INFO - 13:53:11:      9%|▊         | 866/10000 [00:01<00:17, 534.44 it/sec, obj=[16.44316634  7.8414839 ]]
        INFO - 13:53:11:      9%|▊         | 867/10000 [00:01<00:17, 534.43 it/sec, obj=[16.44315901  7.84619387]]
        INFO - 13:53:11:      9%|▊         | 868/10000 [00:01<00:17, 534.53 it/sec, obj=[16.4431655   7.84195471]]
        INFO - 13:53:11:      9%|▊         | 869/10000 [00:01<00:17, 534.74 it/sec, obj=[16.44316625  7.84153098]]
        INFO - 13:53:11:      9%|▊         | 870/10000 [00:01<00:17, 534.81 it/sec, obj=[16.44316633  7.84148861]]
        INFO - 13:53:11:      9%|▊         | 871/10000 [00:01<00:17, 534.82 it/sec, obj=[16.44316115  7.84619067]]
        INFO - 13:53:11:      9%|▊         | 872/10000 [00:01<00:17, 534.90 it/sec, obj=[16.4431657   7.84195863]]
        INFO - 13:53:11:      9%|▊         | 873/10000 [00:01<00:17, 535.11 it/sec, obj=[16.44316627  7.84153561]]
        INFO - 13:53:11:      9%|▊         | 874/10000 [00:01<00:17, 535.19 it/sec, obj=[16.44316632  7.84149331]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.04600939289217488
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [4.89929117e-06 8.58265980e-06]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.4601957453719552  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.114287498392252   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.04600939289217488 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.40816327 0.59183673]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.4601957453719552  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.114287498392252   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.04600939289217488 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:      9%|▉         | 875/10000 [00:01<00:17, 528.30 it/sec, obj=[16.15294781  8.40404207]]
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        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.054327988265171615
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [6.38745305e-06 1.53194358e-05]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.4129050843954137  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.119728698700339   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.05432798826517161 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.42857143 0.57142857]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.4129050843954137  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.119728698700339   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.05432798826517161 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:      9%|▉         | 924/10000 [00:01<00:17, 525.75 it/sec, obj=[15.8544266   8.86395874]]
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        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.06266889002813054
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [ 1.72742633e-05 -7.63522092e-03]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.3636115390854115  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.127406765425707   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.06266889002813054 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.44897959 0.55102041]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.3636115390854115  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.127406765425707   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.06266889002813054 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:     10%|▉         | 973/10000 [00:01<00:17, 527.00 it/sec, obj=[15.55174521  9.32412258]]
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        INFO - 13:53:11:     10%|█         | 1015/10000 [00:01<00:16, 533.02 it/sec, obj=[15.52933473  9.20278528]]
        INFO - 13:53:11:     10%|█         | 1016/10000 [00:01<00:16, 533.19 it/sec, obj=[15.52930697  9.20277643]]
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        INFO - 13:53:11:     10%|█         | 1018/10000 [00:01<00:16, 533.54 it/sec, obj=[15.52930392  9.20277546]]
        INFO - 13:53:11:     10%|█         | 1019/10000 [00:01<00:16, 533.72 it/sec, obj=[15.52930389  9.20277545]]
        INFO - 13:53:11:     10%|█         | 1020/10000 [00:01<00:16, 533.88 it/sec, obj=[15.52930389  9.20277545]]
        INFO - 13:53:11:     10%|█         | 1021/10000 [00:01<00:16, 534.06 it/sec, obj=[15.52930389  9.20277545]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.07085049841491922
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [ 2.79110959e-05 -1.13249532e-02]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.3121439056117678  | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.136360631818128   | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.07085049841491922 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.46938776 0.53061224]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.3121439056117678  | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.136360631818128   | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.07085049841491922 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:11:     10%|█         | 1022/10000 [00:01<00:17, 528.07 it/sec, obj=[15.24567353  9.78202146]]
        INFO - 13:53:11:     10%|█         | 1023/10000 [00:01<00:16, 528.15 it/sec, obj=[15.29782308  9.65481946]]
        INFO - 13:53:11:     10%|█         | 1024/10000 [00:01<00:16, 528.06 it/sec, obj=[15.28071899  9.66822616]]
        INFO - 13:53:11:     10%|█         | 1025/10000 [00:01<00:16, 528.05 it/sec, obj=[15.27379444  9.62824681]]
        INFO - 13:53:11:     10%|█         | 1026/10000 [00:01<00:16, 528.04 it/sec, obj=[15.25152531  9.59886331]]
        INFO - 13:53:11:     10%|█         | 1027/10000 [00:01<00:16, 528.12 it/sec, obj=[15.22268164  9.62893968]]
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        INFO - 13:53:11:     11%|█         | 1062/10000 [00:01<00:16, 532.93 it/sec, obj=[15.21920832  9.65107692]]
        INFO - 13:53:11:     11%|█         | 1063/10000 [00:01<00:16, 533.01 it/sec, obj=[15.21552829  9.65048261]]
        INFO - 13:53:11:     11%|█         | 1064/10000 [00:01<00:16, 533.18 it/sec, obj=[15.21516061  9.65042279]]
        INFO - 13:53:11:     11%|█         | 1065/10000 [00:01<00:16, 533.34 it/sec, obj=[15.21512384  9.6504168 ]]
        INFO - 13:53:11:     11%|█         | 1066/10000 [00:01<00:16, 533.50 it/sec, obj=[15.21512017  9.65041621]]
        INFO - 13:53:11:     11%|█         | 1067/10000 [00:01<00:16, 533.66 it/sec, obj=[15.2151198   9.65041615]]
        INFO - 13:53:11:     11%|█         | 1068/10000 [00:02<00:16, 533.83 it/sec, obj=[15.21511976  9.65041614]]
        INFO - 13:53:11:     11%|█         | 1069/10000 [00:02<00:16, 533.96 it/sec, obj=[15.21511976  9.65041614]]
        INFO - 13:53:11:     11%|█         | 1070/10000 [00:02<00:16, 534.10 it/sec, obj=[15.21511976  9.65041614]]
        INFO - 13:53:11: Optimization result:
        INFO - 13:53:11:    Optimizer info:
        INFO - 13:53:11:       Status: None
        INFO - 13:53:11:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:11:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:11:    Solution:
        INFO - 13:53:11:       The solution is feasible.
        INFO - 13:53:11:       Objective: 0.0787817603263474
        INFO - 13:53:11:       Standardized constraints:
        INFO - 13:53:11:          beta_sub_optim_constraint = [ 4.79617952e-05 -1.69828218e-02]
        INFO - 13:53:11:       Design space:
        INFO - 13:53:11:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:11:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:          | x    | -3.141592653589793 |  0.2572319058560046 | 3.141592653589793 | float |
        INFO - 13:53:11:          | y    | -3.141592653589793 |  1.147817951317796  | 3.141592653589793 | float |
        INFO - 13:53:11:          | t    |        -inf        | -0.0787817603263474 |        inf        | float |
        INFO - 13:53:11:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.48979592 0.51020408]
        INFO - 13:53:11: Optimization problem:
        INFO - 13:53:11:    minimize -t_extraction
        INFO - 13:53:11:    with respect to t, x, y
        INFO - 13:53:11:    subject to constraints:
        INFO - 13:53:11:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:11:    over the design space:
        INFO - 13:53:11:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:11:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:       | x    | -3.141592653589793 |  0.2572319058560046 | 3.141592653589793 | float |
        INFO - 13:53:11:       | y    | -3.141592653589793 |  1.147817951317796  | 3.141592653589793 | float |
        INFO - 13:53:11:       | t    |        -inf        | -0.0787817603263474 |        inf        | float |
        INFO - 13:53:11:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:11:     11%|█         | 1071/10000 [00:02<00:16, 528.23 it/sec, obj=[14.93087464 10.23639039]]
        INFO - 13:53:11:     11%|█         | 1072/10000 [00:02<00:16, 528.31 it/sec, obj=[14.98722918 10.09716923]]
        INFO - 13:53:12:     11%|█         | 1073/10000 [00:02<00:16, 528.28 it/sec, obj=[14.96769373 10.11391574]]
        INFO - 13:53:12:     11%|█         | 1074/10000 [00:02<00:16, 528.29 it/sec, obj=[14.96045278 10.07045683]]
        INFO - 13:53:12:     11%|█         | 1075/10000 [00:02<00:16, 528.28 it/sec, obj=[14.93630443 10.02859019]]
        INFO - 13:53:12:     11%|█         | 1076/10000 [00:02<00:16, 528.38 it/sec, obj=[14.90058515 10.06026864]]
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        INFO - 13:53:12:     11%|█         | 1080/10000 [00:02<00:16, 528.69 it/sec, obj=[14.888936   10.09026305]]
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        INFO - 13:53:12:     11%|█         | 1109/10000 [00:02<00:16, 533.12 it/sec, obj=[14.88888575 10.09023131]]
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        INFO - 13:53:12:     11%|█         | 1111/10000 [00:02<00:16, 533.37 it/sec, obj=[14.89391829 10.09210816]]
        INFO - 13:53:12:     11%|█         | 1112/10000 [00:02<00:16, 533.53 it/sec, obj=[14.88938845 10.09041971]]
        INFO - 13:53:12:     11%|█         | 1113/10000 [00:02<00:16, 533.67 it/sec, obj=[14.88893601 10.09025016]]
        INFO - 13:53:12:     11%|█         | 1114/10000 [00:02<00:16, 533.83 it/sec, obj=[14.88889077 10.0902332 ]]
        INFO - 13:53:12:     11%|█         | 1115/10000 [00:02<00:16, 533.99 it/sec, obj=[14.88888625 10.0902315 ]]
        INFO - 13:53:12:     11%|█         | 1116/10000 [00:02<00:16, 534.15 it/sec, obj=[14.8888858  10.09023133]]
        INFO - 13:53:12:     11%|█         | 1117/10000 [00:02<00:16, 534.30 it/sec, obj=[14.88888575 10.09023132]]
        INFO - 13:53:12:     11%|█         | 1118/10000 [00:02<00:16, 534.46 it/sec, obj=[14.88888575 10.09023132]]
        INFO - 13:53:12:     11%|█         | 1119/10000 [00:02<00:16, 534.62 it/sec, obj=[14.88888575 10.09023131]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: 0.08629410935760148
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 8.83056864e-05 -2.60251277e-02]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  0.1974426398740056  | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 |  1.162624728009152   | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | -0.08629410935760148 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.51020408 0.48979592]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  0.1974426398740056  | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 |  1.162624728009152   | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | -0.08629410935760148 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:     11%|█         | 1120/10000 [00:02<00:16, 528.93 it/sec, obj=[14.60197923 10.68484973]]
        INFO - 13:53:12:     11%|█         | 1121/10000 [00:02<00:16, 529.00 it/sec, obj=[14.66429366 10.52995626]]
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        INFO - 13:53:12:     11%|█         | 1124/10000 [00:02<00:16, 528.99 it/sec, obj=[14.60714251 10.44311856]]
        INFO - 13:53:12:     11%|█▏        | 1125/10000 [00:02<00:16, 529.07 it/sec, obj=[14.56121447 10.4741727 ]]
        INFO - 13:53:12:     11%|█▏        | 1126/10000 [00:02<00:16, 529.16 it/sec, obj=[14.54216821 10.51542316]]
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        INFO - 13:53:12:     11%|█▏        | 1128/10000 [00:02<00:16, 529.39 it/sec, obj=[14.54269577 10.5157655 ]]
        INFO - 13:53:12:     11%|█▏        | 1129/10000 [00:02<00:16, 529.55 it/sec, obj=[14.54222096 10.5154574 ]]
        INFO - 13:53:12:     11%|█▏        | 1130/10000 [00:02<00:16, 529.72 it/sec, obj=[14.54217349 10.51542658]]
        INFO - 13:53:12:     11%|█▏        | 1131/10000 [00:02<00:16, 529.87 it/sec, obj=[14.54216874 10.5154235 ]]
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        INFO - 13:53:12:     11%|█▏        | 1139/10000 [00:02<00:16, 531.03 it/sec, obj=[14.54269544 10.51598564]]
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        INFO - 13:53:12:     11%|█▏        | 1143/10000 [00:02<00:16, 531.64 it/sec, obj=[14.54216826 10.51542321]]
        INFO - 13:53:12:     11%|█▏        | 1144/10000 [00:02<00:16, 531.80 it/sec, obj=[14.54216822 10.51542316]]
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        INFO - 13:53:12:     12%|█▏        | 1150/10000 [00:02<00:16, 532.65 it/sec, obj=[14.54269527 10.51609516]]
        INFO - 13:53:12:     12%|█▏        | 1151/10000 [00:02<00:16, 532.79 it/sec, obj=[14.54222091 10.51549037]]
        INFO - 13:53:12:     12%|█▏        | 1152/10000 [00:02<00:16, 532.93 it/sec, obj=[14.54217348 10.51542988]]
        INFO - 13:53:12:     12%|█▏        | 1153/10000 [00:02<00:16, 533.08 it/sec, obj=[14.54216874 10.51542383]]
        INFO - 13:53:12:     12%|█▏        | 1154/10000 [00:02<00:16, 533.24 it/sec, obj=[14.54216826 10.51542322]]
        INFO - 13:53:12:     12%|█▏        | 1155/10000 [00:02<00:16, 533.39 it/sec, obj=[14.54216822 10.51542316]]
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        INFO - 13:53:12:     12%|█▏        | 1157/10000 [00:02<00:16, 533.70 it/sec, obj=[14.54216821 10.51542316]]
        INFO - 13:53:12:     12%|█▏        | 1158/10000 [00:02<00:16, 533.86 it/sec, obj=[14.54216821 10.51542316]]
        INFO - 13:53:12:     12%|█▏        | 1159/10000 [00:02<00:16, 533.99 it/sec, obj=[14.54216821 10.51542316]]
        INFO - 13:53:12:     12%|█▏        | 1160/10000 [00:02<00:16, 534.07 it/sec, obj=[14.54744905 10.52247974]]
        INFO - 13:53:12:     12%|█▏        | 1161/10000 [00:02<00:16, 534.22 it/sec, obj=[14.54269522 10.51612967]]
        INFO - 13:53:12:     12%|█▏        | 1162/10000 [00:02<00:16, 534.36 it/sec, obj=[14.5422209  10.51549382]]
        INFO - 13:53:12:     12%|█▏        | 1163/10000 [00:02<00:16, 534.52 it/sec, obj=[14.54217348 10.51543022]]
        INFO - 13:53:12:     12%|█▏        | 1164/10000 [00:02<00:16, 534.64 it/sec, obj=[14.54216874 10.51542386]]
        INFO - 13:53:12:     12%|█▏        | 1165/10000 [00:02<00:16, 534.79 it/sec, obj=[14.54216826 10.51542323]]
        INFO - 13:53:12:     12%|█▏        | 1166/10000 [00:02<00:16, 534.94 it/sec, obj=[14.54216822 10.51542316]]
        INFO - 13:53:12:     12%|█▏        | 1167/10000 [00:02<00:16, 535.09 it/sec, obj=[14.54216821 10.51542316]]
        INFO - 13:53:12:     12%|█▏        | 1168/10000 [00:02<00:16, 535.23 it/sec, obj=[14.54216821 10.51542316]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: 0.09632683931017857
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 3.27461317e-05 -1.49767571e-02]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  0.1646630534671112  | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 |  1.150874127012663   | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | -0.09632683931017857 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.53061224 0.46938776]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  0.1646630534671112  | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 |  1.150874127012663   | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | -0.09632683931017857 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:     12%|█▏        | 1169/10000 [00:02<00:16, 529.39 it/sec, obj=[14.35075547 11.14980447]]
        INFO - 13:53:12:     12%|█▏        | 1170/10000 [00:02<00:16, 529.42 it/sec, obj=[14.40264572 10.99318335]]
        INFO - 13:53:12:     12%|█▏        | 1171/10000 [00:02<00:16, 529.50 it/sec, obj=[14.37027055 10.94646837]]
        INFO - 13:53:12:     12%|█▏        | 1172/10000 [00:02<00:16, 529.58 it/sec, obj=[14.32525275 10.81708087]]
        INFO - 13:53:12:     12%|█▏        | 1173/10000 [00:02<00:16, 529.65 it/sec, obj=[14.23657371 10.80044692]]
        INFO - 13:53:12:     12%|█▏        | 1174/10000 [00:02<00:16, 529.73 it/sec, obj=[14.16548638 10.79889207]]
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        INFO - 13:53:12:     12%|█▏        | 1178/10000 [00:02<00:16, 529.94 it/sec, obj=[14.03900327 10.81121788]]
        INFO - 13:53:12:     12%|█▏        | 1179/10000 [00:02<00:16, 529.95 it/sec, obj=[14.03238843 10.81428582]]
        INFO - 13:53:12:     12%|█▏        | 1180/10000 [00:02<00:16, 529.87 it/sec, obj=[14.0148404  10.82357515]]
        INFO - 13:53:12:     12%|█▏        | 1181/10000 [00:02<00:16, 529.87 it/sec, obj=[14.01853577 10.84650714]]
        INFO - 13:53:12:     12%|█▏        | 1182/10000 [00:02<00:16, 530.01 it/sec, obj=[14.01520692 10.8258668 ]]
        INFO - 13:53:12:     12%|█▏        | 1183/10000 [00:02<00:16, 530.17 it/sec, obj=[14.01487702 10.8238043 ]]
        INFO - 13:53:12:     12%|█▏        | 1184/10000 [00:02<00:16, 530.32 it/sec, obj=[14.01484406 10.82359807]]
        INFO - 13:53:12:     12%|█▏        | 1185/10000 [00:02<00:16, 530.46 it/sec, obj=[14.01484076 10.82357745]]
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        INFO - 13:53:12:     12%|█▏        | 1189/10000 [00:02<00:16, 531.05 it/sec, obj=[14.0148404  10.82357516]]
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        INFO - 13:53:12:     12%|█▏        | 1203/10000 [00:02<00:16, 532.73 it/sec, obj=[14.0149523  11.05758091]]
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        INFO - 13:53:12:     12%|█▏        | 1206/10000 [00:02<00:16, 533.10 it/sec, obj=[14.01483859 10.82380585]]
        INFO - 13:53:12:     12%|█▏        | 1207/10000 [00:02<00:16, 533.25 it/sec, obj=[14.01484022 10.82359822]]
        INFO - 13:53:12:     12%|█▏        | 1208/10000 [00:02<00:16, 533.40 it/sec, obj=[14.01484038 10.82357746]]
        INFO - 13:53:12:     12%|█▏        | 1209/10000 [00:02<00:16, 533.54 it/sec, obj=[14.01484039 10.82357539]]
        INFO - 13:53:12:     12%|█▏        | 1210/10000 [00:02<00:16, 533.68 it/sec, obj=[14.0148404  10.82357518]]
        INFO - 13:53:12:     12%|█▏        | 1211/10000 [00:02<00:16, 533.82 it/sec, obj=[14.0148404  10.82357516]]
        INFO - 13:53:12:     12%|█▏        | 1212/10000 [00:02<00:16, 533.95 it/sec, obj=[14.0148404  10.82357516]]
        INFO - 13:53:12:     12%|█▏        | 1213/10000 [00:02<00:16, 534.10 it/sec, obj=[14.0148404  10.82357515]]
        INFO - 13:53:12:     12%|█▏        | 1214/10000 [00:02<00:16, 534.17 it/sec, obj=[14.01490974 11.06189886]]
        INFO - 13:53:12:     12%|█▏        | 1215/10000 [00:02<00:16, 534.31 it/sec, obj=[14.01466858 10.84709902]]
        INFO - 13:53:12:     12%|█▏        | 1216/10000 [00:02<00:16, 534.46 it/sec, obj=[14.01482143 10.82592436]]
        INFO - 13:53:12:     12%|█▏        | 1217/10000 [00:02<00:16, 534.60 it/sec, obj=[14.01483848 10.82381004]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 52
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: 0.09235825852791893
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [-6.52341030e-07 -1.14218484e-02]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 | -0.006150097033360665 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 |   1.251499764351504   | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  -0.09235825852791893 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.55102041 0.44897959]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 | -0.006150097033360665 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 |   1.251499764351504   | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  -0.09235825852791893 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+-----------------------+-------------------+-------+
        INFO - 13:53:12:     12%|█▏        | 1218/10000 [00:02<00:16, 528.65 it/sec, obj=[13.70598431 11.47733937]]
        INFO - 13:53:12:     12%|█▏        | 1219/10000 [00:02<00:16, 528.68 it/sec, obj=[13.81072117 11.25400551]]
        INFO - 13:53:12:     12%|█▏        | 1220/10000 [00:02<00:16, 528.75 it/sec, obj=[13.77343755 11.32309683]]
        INFO - 13:53:12:     12%|█▏        | 1221/10000 [00:02<00:16, 528.82 it/sec, obj=[13.78185257 11.30251919]]
        INFO - 13:53:12:     12%|█▏        | 1222/10000 [00:02<00:16, 528.79 it/sec, obj=[13.7772678  11.26639816]]
        INFO - 13:53:12:     12%|█▏        | 1223/10000 [00:02<00:16, 528.80 it/sec, obj=[13.7563046  11.23326975]]
        INFO - 13:53:12:     12%|█▏        | 1224/10000 [00:02<00:16, 528.79 it/sec, obj=[13.72544911 11.21247556]]
        INFO - 13:53:12:     12%|█▏        | 1225/10000 [00:02<00:16, 528.87 it/sec, obj=[13.6937544  11.19950313]]
        INFO - 13:53:12:     12%|█▏        | 1226/10000 [00:02<00:16, 528.91 it/sec, obj=[13.66536562 11.19212948]]
        INFO - 13:53:12:     12%|█▏        | 1227/10000 [00:02<00:16, 528.99 it/sec, obj=[13.64213121 11.18782366]]
        INFO - 13:53:12:     12%|█▏        | 1228/10000 [00:02<00:16, 528.97 it/sec, obj=[13.62402876 11.18495226]]
        INFO - 13:53:12:     12%|█▏        | 1229/10000 [00:02<00:16, 528.98 it/sec, obj=[13.59304905 11.17910928]]
        INFO - 13:53:12:     12%|█▏        | 1230/10000 [00:02<00:16, 528.98 it/sec, obj=[12.19447803  6.61550147]]
        INFO - 13:53:12:     12%|█▏        | 1231/10000 [00:02<00:16, 529.05 it/sec, obj=[17.17283819  9.45665502]]
        INFO - 13:53:12:     12%|█▏        | 1232/10000 [00:02<00:16, 529.19 it/sec, obj=[13.79017649  7.86629613]]
        INFO - 13:53:12:     12%|█▏        | 1233/10000 [00:02<00:16, 529.34 it/sec, obj=[12.76802459  6.68795242]]
        INFO - 13:53:12:     12%|█▏        | 1234/10000 [00:02<00:16, 529.47 it/sec, obj=[12.42519167  6.48062023]]
        INFO - 13:53:12:     12%|█▏        | 1235/10000 [00:02<00:16, 529.61 it/sec, obj=[12.29597327  6.50389428]]
        INFO - 13:53:12:     12%|█▏        | 1236/10000 [00:02<00:16, 529.75 it/sec, obj=[12.24190168  6.54839757]]
        INFO - 13:53:12:     12%|█▏        | 1237/10000 [00:02<00:16, 529.89 it/sec, obj=[12.21747112  6.57891558]]
        INFO - 13:53:12:     12%|█▏        | 1238/10000 [00:02<00:16, 530.03 it/sec, obj=[12.20588633  6.59628138]]
        INFO - 13:53:12:     12%|█▏        | 1239/10000 [00:02<00:16, 530.18 it/sec, obj=[12.20023986  6.6055155 ]]
        INFO - 13:53:12:     12%|█▏        | 1240/10000 [00:02<00:16, 530.31 it/sec, obj=[12.19744766  6.61028152]]
        INFO - 13:53:12:     12%|█▏        | 1241/10000 [00:02<00:16, 530.45 it/sec, obj=[12.1960582  6.6127042]]
        INFO - 13:53:12:     12%|█▏        | 1242/10000 [00:02<00:16, 530.53 it/sec, obj=[9.81359415 5.37464645]]
        INFO - 13:53:12:     12%|█▏        | 1243/10000 [00:02<00:16, 530.60 it/sec, obj=[7.92505912 4.96775346]]
        INFO - 13:53:12:     12%|█▏        | 1244/10000 [00:02<00:16, 530.67 it/sec, obj=[3.46385235 5.94048026]]
        INFO - 13:53:12:     12%|█▏        | 1245/10000 [00:02<00:16, 530.74 it/sec, obj=[1.76882472 4.30336849]]
        INFO - 13:53:12:     12%|█▏        | 1246/10000 [00:02<00:16, 530.82 it/sec, obj=[1.68828345 3.73124941]]
        INFO - 13:53:12:     12%|█▏        | 1247/10000 [00:02<00:16, 530.90 it/sec, obj=[1.70533268 3.68630001]]
        INFO - 13:53:12:     12%|█▏        | 1248/10000 [00:02<00:16, 530.97 it/sec, obj=[1.70536873 3.68620577]]
        INFO - 13:53:12:     12%|█▏        | 1249/10000 [00:02<00:16, 530.96 it/sec, obj=[1.70536868 3.68620591]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 35
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.38071010089692436
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [1.36779477e-13 2.37777797e-10]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | 0.2981988304084305 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.3807101008969244 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.57142857 0.42857143]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | 0.2981988304084305 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.3807101008969244 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:     12%|█▎        | 1250/10000 [00:02<00:16, 525.61 it/sec, obj=[1.51255235 4.24147032]]
        INFO - 13:53:12:     13%|█▎        | 1251/10000 [00:02<00:16, 525.67 it/sec, obj=[1.52141593 4.21361367]]
        INFO - 13:53:12:     13%|█▎        | 1252/10000 [00:02<00:16, 525.65 it/sec, obj=[1.52135888 4.21379222]]
        INFO - 13:53:12:     13%|█▎        | 1253/10000 [00:02<00:16, 525.66 it/sec, obj=[1.52135935 4.21379075]]
        INFO - 13:53:12:     13%|█▎        | 1254/10000 [00:02<00:16, 525.66 it/sec, obj=[1.52135934 4.21379076]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 8
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.3676682367223673
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [5.41946932e-10 1.75579645e-06]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | 0.225279722309013  | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.3676682367223673 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.59183673 0.40816327]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | 0.225279722309013  | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.3676682367223673 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1255/10000 [00:02<00:16, 520.60 it/sec, obj=[1.35375074 4.78134632]]
        INFO - 13:53:12:     13%|█▎        | 1256/10000 [00:02<00:16, 520.65 it/sec, obj=[1.36074077 4.75590347]]
        INFO - 13:53:12:     13%|█▎        | 1257/10000 [00:02<00:16, 520.64 it/sec, obj=[1.36068364 4.75611076]]
        INFO - 13:53:12:     13%|█▎        | 1258/10000 [00:02<00:16, 520.65 it/sec, obj=[1.36068419 4.75610878]]
        INFO - 13:53:12:     13%|█▎        | 1259/10000 [00:02<00:16, 520.64 it/sec, obj=[1.36068418 4.75610879]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 8
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.35369224067143257
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [6.08512352e-10 2.30422305e-06]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | 0.1578580062032114 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.3536922406714326 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.6122449 0.3877551]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | 0.1578580062032114 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.3536922406714326 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1260/10000 [00:02<00:16, 515.66 it/sec, obj=[1.21246454 5.33086554]]
        INFO - 13:53:12:     13%|█▎        | 1261/10000 [00:02<00:16, 515.73 it/sec, obj=[1.21766407 5.30941508]]
        INFO - 13:53:12:     13%|█▎        | 1262/10000 [00:02<00:16, 515.71 it/sec, obj=[1.2176303  5.30955408]]
        INFO - 13:53:12:     13%|█▎        | 1263/10000 [00:02<00:16, 515.73 it/sec, obj=[1.21763056 5.30955304]]
        INFO - 13:53:12:     13%|█▎        | 1264/10000 [00:02<00:16, 515.73 it/sec, obj=[1.21763056 5.30955305]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 8
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.3390108030109216
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [2.38024711e-10 1.19054698e-06]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | 0.09434081759351785 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.3390108030109216 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.63265306 0.36734694]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | 0.09434081759351785 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.3390108030109216 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1265/10000 [00:02<00:17, 510.99 it/sec, obj=[1.08491694 5.88820668]]
        INFO - 13:53:12:     13%|█▎        | 1266/10000 [00:02<00:17, 511.06 it/sec, obj=[1.08849378 5.87173709]]
        INFO - 13:53:12:     13%|█▎        | 1267/10000 [00:02<00:17, 511.05 it/sec, obj=[1.0884847  5.87177881]]
        INFO - 13:53:12:     13%|█▎        | 1268/10000 [00:02<00:17, 511.07 it/sec, obj=[1.08848473 5.87177868]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 7
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.32377260952167874
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [1.92859062e-11 1.50364464e-07]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | 0.03365188638307567 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.3237726095216787 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.65306122 0.34693878]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | 0.03365188638307567 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.3237726095216787 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1269/10000 [00:02<00:17, 506.34 it/sec, obj=[0.96854731 6.45204172]]
        INFO - 13:53:12:     13%|█▎        | 1270/10000 [00:02<00:17, 506.40 it/sec, obj=[0.97068053 6.44120242]]
        INFO - 13:53:12:     13%|█▎        | 1271/10000 [00:02<00:17, 506.40 it/sec, obj=[0.970687   6.44116958]]
        INFO - 13:53:12:     13%|█▎        | 1272/10000 [00:02<00:17, 506.42 it/sec, obj=[0.97068701 6.44116949]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 7
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.3080804428064812
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [1.19807532e-06 3.77862159e-05]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.0249963858684049 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.3080804428064812 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.67346939 0.32653061]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.0249963858684049 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.3080804428064812 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1273/10000 [00:02<00:17, 501.87 it/sec, obj=[0.86153338 7.021369  ]]
        INFO - 13:53:12:     13%|█▎        | 1274/10000 [00:02<00:17, 501.94 it/sec, obj=[0.86238921 7.01661102]]
        INFO - 13:53:12:     13%|█▎        | 1275/10000 [00:02<00:17, 501.95 it/sec, obj=[0.86239761 7.01656435]]
        INFO - 13:53:12:     13%|█▎        | 1276/10000 [00:02<00:17, 502.02 it/sec, obj=[0.86239005 7.01660635]]
        INFO - 13:53:12:     13%|█▎        | 1277/10000 [00:02<00:17, 502.10 it/sec, obj=[0.8623893  7.01661055]]
        INFO - 13:53:12:     13%|█▎        | 1278/10000 [00:02<00:17, 502.18 it/sec, obj=[0.86238922 7.01661097]]
        INFO - 13:53:12:     13%|█▎        | 1279/10000 [00:02<00:17, 502.26 it/sec, obj=[0.86238922 7.01661101]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 10
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.29200736902188507
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [2.17496038e-07 5.26120489e-05]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.08220877373158518 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.2920073690218851  |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.69387755 0.30612245]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.08220877373158518 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.2920073690218851  |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+----------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1280/10000 [00:02<00:17, 497.83 it/sec, obj=[0.76253334 7.59541578]]
        INFO - 13:53:12:     13%|█▎        | 1281/10000 [00:02<00:17, 497.91 it/sec, obj=[0.76225927 7.59707209]]
        INFO - 13:53:12:     13%|█▎        | 1282/10000 [00:02<00:17, 497.91 it/sec, obj=[0.76225446 7.59710116]]
        INFO - 13:53:12:     13%|█▎        | 1283/10000 [00:02<00:17, 497.94 it/sec, obj=[0.76225438 7.59710167]]
        INFO - 13:53:12:     13%|█▎        | 1284/10000 [00:02<00:17, 497.96 it/sec, obj=[0.76225438 7.59710168]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 8
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.2756078050046248
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 1.98063788e-13 -1.77800885e-10]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.1384862762273548 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.2756078050046248 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.71428571 0.28571429]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.1384862762273548 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.2756078050046248 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1285/10000 [00:02<00:17, 493.51 it/sec, obj=[0.67103735 8.1741504 ]]
        INFO - 13:53:12:     13%|█▎        | 1286/10000 [00:02<00:17, 493.59 it/sec, obj=[0.66927959 8.1817945 ]]
        INFO - 13:53:12:     13%|█▎        | 1287/10000 [00:02<00:17, 493.60 it/sec, obj=[0.6692292  8.18212411]]
        INFO - 13:53:12:     13%|█▎        | 1288/10000 [00:02<00:17, 493.63 it/sec, obj=[0.66922788 8.18213277]]
        INFO - 13:53:12:     13%|█▎        | 1289/10000 [00:02<00:17, 493.65 it/sec, obj=[0.66922784 8.18213299]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 8
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.2589236893171578
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [-2.66453526e-15 -6.73022882e-09]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.194283323768222 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.2589236893171578 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.73469388 0.26530612]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.194283323768222 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.2589236893171578 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1290/10000 [00:02<00:17, 489.39 it/sec, obj=[0.58652715 8.75768428]]
        INFO - 13:53:12:     13%|█▎        | 1291/10000 [00:02<00:17, 489.46 it/sec, obj=[0.58269624 8.7700095 ]]
        INFO - 13:53:12:     13%|█▎        | 1292/10000 [00:02<00:17, 489.48 it/sec, obj=[0.58253871 8.77112099]]
        INFO - 13:53:12:     13%|█▎        | 1293/10000 [00:02<00:17, 489.50 it/sec, obj=[0.58253309 8.7711606 ]]
        INFO - 13:53:12:     13%|█▎        | 1294/10000 [00:02<00:17, 489.54 it/sec, obj=[0.58253289 8.77116202]]
        INFO - 13:53:12:     13%|█▎        | 1295/10000 [00:02<00:17, 489.57 it/sec, obj=[0.58253288 8.77116207]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 9
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.24198610731272277
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [-3.10862447e-14 -2.02901784e-09]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.2500103966177374 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.2419861073127228 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.75510204 0.24489796]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.2500103966177374 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.2419861073127228 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1296/10000 [00:02<00:17, 485.37 it/sec, obj=[0.50767122 9.34499481]]
        INFO - 13:53:12:     13%|█▎        | 1297/10000 [00:02<00:17, 485.45 it/sec, obj=[0.50189963 9.36132603]]
        INFO - 13:53:12:     13%|█▎        | 1298/10000 [00:02<00:17, 485.47 it/sec, obj=[0.50158726 9.36369819]]
        INFO - 13:53:12:     13%|█▎        | 1299/10000 [00:02<00:17, 485.50 it/sec, obj=[0.50157299 9.36380662]]
        INFO - 13:53:12:     13%|█▎        | 1300/10000 [00:02<00:17, 485.53 it/sec, obj=[0.50157233 9.36381158]]
        INFO - 13:53:12:     13%|█▎        | 1301/10000 [00:02<00:17, 485.56 it/sec, obj=[0.5015723  9.36381181]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 9
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.22481896622657027
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 2.13162821e-14 -1.17696275e-08]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.3060808237961971 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.2248189662265703 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.7755102 0.2244898]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.3060808237961971 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.2248189662265703 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1302/10000 [00:02<00:18, 481.13 it/sec, obj=[0.43402034 9.93590822]]
        INFO - 13:53:12:     13%|█▎        | 1303/10000 [00:02<00:18, 481.21 it/sec, obj=[0.42645159 9.9553188 ]]
        INFO - 13:53:12:     13%|█▎        | 1304/10000 [00:02<00:18, 481.23 it/sec, obj=[0.42593373 9.95954888]]
        INFO - 13:53:12:     13%|█▎        | 1305/10000 [00:02<00:18, 481.26 it/sec, obj=[0.42590447 9.95978797]]
        INFO - 13:53:12:     13%|█▎        | 1306/10000 [00:02<00:18, 481.29 it/sec, obj=[0.42590281 9.95980148]]
        INFO - 13:53:12:     13%|█▎        | 1307/10000 [00:02<00:18, 481.32 it/sec, obj=[0.42590272 9.95980225]]
        INFO - 13:53:12:     13%|█▎        | 1308/10000 [00:02<00:18, 481.36 it/sec, obj=[0.42590271 9.95980229]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 10
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.20744001562687236
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 3.55271368e-15 -2.78823764e-09]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.36293310183095  | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.2074400156268724 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.79591837 0.20408163]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.36293310183095  | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.2074400156268724 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1309/10000 [00:02<00:18, 477.27 it/sec, obj=[ 0.36525349 10.53035178]]
        INFO - 13:53:12:     13%|█▎        | 1310/10000 [00:02<00:18, 477.33 it/sec, obj=[ 0.35605081 10.55160429]]
        INFO - 13:53:12:     13%|█▎        | 1311/10000 [00:02<00:18, 477.42 it/sec, obj=[ 0.35527365 10.55843936]]
        INFO - 13:53:12:     13%|█▎        | 1312/10000 [00:02<00:18, 477.44 it/sec, obj=[ 0.35522068 10.55890538]]
        INFO - 13:53:12:     13%|█▎        | 1313/10000 [00:02<00:18, 477.47 it/sec, obj=[ 0.35521707 10.55893714]]
        INFO - 13:53:12:     13%|█▎        | 1314/10000 [00:02<00:18, 477.51 it/sec, obj=[ 0.35521683 10.55893931]]
        INFO - 13:53:12:     13%|█▎        | 1315/10000 [00:02<00:18, 477.54 it/sec, obj=[ 0.35521681 10.55893946]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 10
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.1898615574839805
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 1.50990331e-14 -1.15679053e-08]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.421062756892335 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.1898615574839805 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.81632653 0.18367347]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.421062756892335 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.1898615574839805 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+--------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1316/10000 [00:02<00:18, 473.51 it/sec, obj=[ 0.30116811 11.12836371]]
        INFO - 13:53:12:     13%|█▎        | 1317/10000 [00:02<00:18, 473.58 it/sec, obj=[ 0.29053033 11.14981198]]
        INFO - 13:53:12:     13%|█▎        | 1318/10000 [00:02<00:18, 473.67 it/sec, obj=[ 0.2894369  11.16019963]]
        INFO - 13:53:12:     13%|█▎        | 1319/10000 [00:02<00:18, 473.70 it/sec, obj=[ 0.28934853 11.16103975]]
        INFO - 13:53:12:     13%|█▎        | 1320/10000 [00:02<00:18, 473.73 it/sec, obj=[ 0.28934139 11.16110761]]
        INFO - 13:53:12:     13%|█▎        | 1321/10000 [00:02<00:18, 473.77 it/sec, obj=[ 0.28934081 11.1611131 ]]
        INFO - 13:53:12:     13%|█▎        | 1322/10000 [00:02<00:18, 473.80 it/sec, obj=[ 0.28934077 11.16111354]]
        INFO - 13:53:12:     13%|█▎        | 1323/10000 [00:02<00:18, 473.84 it/sec, obj=[ 0.28934076 11.16111357]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 11
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.17209055080803906
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 2.39808173e-14 -3.35184813e-09]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.4810662050903783 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.1720905508080391 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.83673469 0.16326531]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.4810662050903783 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.1720905508080391 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1324/10000 [00:02<00:18, 469.78 it/sec, obj=[ 0.24407516 11.69183075]]
        INFO - 13:53:12:     13%|█▎        | 1325/10000 [00:02<00:18, 469.84 it/sec, obj=[ 0.23007913 11.74741677]]
        INFO - 13:53:12:     13%|█▎        | 1326/10000 [00:02<00:18, 469.93 it/sec, obj=[ 0.22842341 11.76451578]]
        INFO - 13:53:12:     13%|█▎        | 1327/10000 [00:02<00:18, 469.96 it/sec, obj=[ 0.22826641 11.76613932]]
        INFO - 13:53:12:     13%|█▎        | 1328/10000 [00:02<00:18, 469.94 it/sec, obj=[ 0.22825155 11.76629304]]
        INFO - 13:53:12:     13%|█▎        | 1329/10000 [00:02<00:18, 469.98 it/sec, obj=[ 0.22825014 11.76630759]]
        INFO - 13:53:12:     13%|█▎        | 1330/10000 [00:02<00:18, 470.01 it/sec, obj=[ 0.22825001 11.76630897]]
        INFO - 13:53:12:     13%|█▎        | 1331/10000 [00:02<00:18, 470.05 it/sec, obj=[ 0.22825   11.7663091]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 11
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.15412797921488172
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [-3.10862447e-14 -1.44594741e-08]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.5437089545127316 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.1541279792148817 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.85714286 0.14285714]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.5437089545127316 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.1541279792148817 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1332/10000 [00:02<00:18, 466.26 it/sec, obj=[ 0.1925283  12.23407683]]
        INFO - 13:53:12:     13%|█▎        | 1333/10000 [00:02<00:18, 466.34 it/sec, obj=[ 0.17649894 12.34966763]]
        INFO - 13:53:12:     13%|█▎        | 1334/10000 [00:02<00:18, 466.44 it/sec, obj=[ 0.17270555 12.36790081]]
        INFO - 13:53:12:     13%|█▎        | 1335/10000 [00:02<00:18, 466.46 it/sec, obj=[ 0.17217953 12.37389018]]
        INFO - 13:53:12:     13%|█▎        | 1336/10000 [00:02<00:18, 466.51 it/sec, obj=[ 0.1721215  12.37455136]]
        INFO - 13:53:12:     13%|█▎        | 1337/10000 [00:02<00:18, 466.54 it/sec, obj=[ 0.1721151  12.37462425]]
        INFO - 13:53:12:     13%|█▎        | 1338/10000 [00:02<00:18, 466.59 it/sec, obj=[ 0.1721144  12.37463228]]
        INFO - 13:53:12:     13%|█▎        | 1339/10000 [00:02<00:18, 466.62 it/sec, obj=[ 0.17211432 12.37463317]]
        INFO - 13:53:12:     13%|█▎        | 1340/10000 [00:02<00:18, 466.66 it/sec, obj=[ 0.17211431 12.37463326]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 12
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.13596704543127247
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 3.55271368e-15 -1.27636701e-08]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.6100438087404102 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.1359670454312725 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.87755102 0.12244898]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.6100438087404102 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.1359670454312725 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     13%|█▎        | 1341/10000 [00:02<00:18, 462.83 it/sec, obj=[ 0.14516872 12.77747669]]
        INFO - 13:53:12:     13%|█▎        | 1342/10000 [00:02<00:18, 462.90 it/sec, obj=[ 0.12896617 12.95814598]]
        INFO - 13:53:12:     13%|█▎        | 1343/10000 [00:02<00:18, 463.00 it/sec, obj=[ 0.12271064 12.96958603]]
        INFO - 13:53:12:     13%|█▎        | 1344/10000 [00:02<00:18, 463.08 it/sec, obj=[ 0.12157005 12.98421831]]
        INFO - 13:53:12:     13%|█▎        | 1345/10000 [00:02<00:18, 463.12 it/sec, obj=[ 0.12142333 12.98610396]]
        INFO - 13:53:12:     13%|█▎        | 1346/10000 [00:02<00:18, 463.16 it/sec, obj=[ 0.12140451 12.98634598]]
        INFO - 13:53:12:     13%|█▎        | 1347/10000 [00:02<00:18, 463.20 it/sec, obj=[ 0.12140209 12.98637702]]
        INFO - 13:53:12:     13%|█▎        | 1348/10000 [00:02<00:18, 463.24 it/sec, obj=[ 0.12140178 12.98638101]]
        INFO - 13:53:12:     13%|█▎        | 1349/10000 [00:02<00:18, 463.28 it/sec, obj=[ 0.12140174 12.98638152]]
        INFO - 13:53:12:     14%|█▎        | 1350/10000 [00:02<00:18, 463.32 it/sec, obj=[ 0.12140174 12.98638158]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 13
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.11758901297180953
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [-1.33226763e-14 -1.01144018e-08]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.6816397343331123 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        |  0.1175890129718095 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.89795918 0.10204082]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.6816397343331123 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        |  0.1175890129718095 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     14%|█▎        | 1351/10000 [00:02<00:18, 459.47 it/sec, obj=[ 0.10238961 13.32306607]]
        INFO - 13:53:12:     14%|█▎        | 1352/10000 [00:02<00:18, 459.54 it/sec, obj=[ 0.08703943 13.572046  ]]
        INFO - 13:53:12:     14%|█▎        | 1353/10000 [00:02<00:18, 459.62 it/sec, obj=[ 0.08128604 13.58187374]]
        INFO - 13:53:12:     14%|█▎        | 1354/10000 [00:02<00:18, 459.68 it/sec, obj=[ 0.07801327 13.58867861]]
        INFO - 13:53:12:     14%|█▎        | 1355/10000 [00:02<00:18, 459.78 it/sec, obj=[ 0.07725982 13.60015505]]
        INFO - 13:53:12:     14%|█▎        | 1356/10000 [00:02<00:18, 459.82 it/sec, obj=[ 0.07714633 13.60188767]]
        INFO - 13:53:12:     14%|█▎        | 1357/10000 [00:02<00:18, 459.86 it/sec, obj=[ 0.07712927 13.60214821]]
        INFO - 13:53:12:     14%|█▎        | 1358/10000 [00:02<00:18, 459.91 it/sec, obj=[ 0.07712671 13.60218736]]
        INFO - 13:53:12:     14%|█▎        | 1359/10000 [00:02<00:18, 459.95 it/sec, obj=[ 0.07712633 13.60219324]]
        INFO - 13:53:12:     14%|█▎        | 1360/10000 [00:02<00:18, 460.00 it/sec, obj=[ 0.07712627 13.60219413]]
        INFO - 13:53:12:     14%|█▎        | 1361/10000 [00:02<00:18, 460.04 it/sec, obj=[ 0.07712626 13.60219426]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 14
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.09895329016041263
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [ 3.99680289e-15 -2.44621337e-08]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.7610904369459162 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.09895329016041263 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.91836735 0.08163265]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.7610904369459162 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.09895329016041263 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     14%|█▎        | 1362/10000 [00:02<00:18, 456.46 it/sec, obj=[ 0.06504462 13.87250065]]
        INFO - 13:53:12:     14%|█▎        | 1363/10000 [00:02<00:18, 456.54 it/sec, obj=[ 0.05157802 14.19390207]]
        INFO - 13:53:12:     14%|█▎        | 1364/10000 [00:02<00:18, 456.63 it/sec, obj=[ 0.04888577 14.2144866 ]]
        INFO - 13:53:12:     14%|█▎        | 1365/10000 [00:02<00:18, 456.73 it/sec, obj=[ 0.04382604 14.17645334]]
        INFO - 13:53:12:     14%|█▎        | 1366/10000 [00:02<00:18, 456.81 it/sec, obj=[ 0.04195332 14.21489646]]
        INFO - 13:53:12:     14%|█▎        | 1367/10000 [00:02<00:18, 456.86 it/sec, obj=[ 0.04161571 14.22194457]]
        INFO - 13:53:12:     14%|█▎        | 1368/10000 [00:02<00:18, 456.90 it/sec, obj=[ 0.04155501 14.2232158 ]]
        INFO - 13:53:12:     14%|█▎        | 1369/10000 [00:02<00:18, 456.95 it/sec, obj=[ 0.0415441  14.22344436]]
        INFO - 13:53:12:     14%|█▎        | 1370/10000 [00:02<00:18, 456.99 it/sec, obj=[ 0.04154214 14.22348543]]
        INFO - 13:53:12:     14%|█▎        | 1371/10000 [00:03<00:18, 456.99 it/sec, obj=[ 0.04154179 14.22349281]]
        INFO - 13:53:12:     14%|█▎        | 1372/10000 [00:03<00:18, 457.02 it/sec, obj=[ 0.04154173 14.22349413]]
        INFO - 13:53:12:     14%|█▎        | 1373/10000 [00:03<00:18, 457.07 it/sec, obj=[ 0.04154172 14.22349437]]
        INFO - 13:53:12: Optimization result:
        INFO - 13:53:12:    Optimizer info:
        INFO - 13:53:12:       Status: None
        INFO - 13:53:12:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:12:       Number of calls to the objective function by the optimizer: 15
        INFO - 13:53:12:    Solution:
        INFO - 13:53:12:       The solution is feasible.
        INFO - 13:53:12:       Objective: -0.07996965081825079
        INFO - 13:53:12:       Standardized constraints:
        INFO - 13:53:12:          beta_sub_optim_constraint = [-9.99200722e-15 -5.37463289e-08]
        INFO - 13:53:12:       Design space:
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:          | y    | -3.141592653589793 | -0.8533942753228502 | 3.141592653589793 | float |
        INFO - 13:53:12:          | t    |        -inf        | 0.07996965081825079 |        inf        | float |
        INFO - 13:53:12:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.93877551 0.06122449]
        INFO - 13:53:12: Optimization problem:
        INFO - 13:53:12:    minimize -t_extraction
        INFO - 13:53:12:    with respect to t, x, y
        INFO - 13:53:12:    subject to constraints:
        INFO - 13:53:12:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:12:    over the design space:
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
        INFO - 13:53:12:       | y    | -3.141592653589793 | -0.8533942753228502 | 3.141592653589793 | float |
        INFO - 13:53:12:       | t    |        -inf        | 0.07996965081825079 |        inf        | float |
        INFO - 13:53:12:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:12:     14%|█▎        | 1374/10000 [00:03<00:19, 453.47 it/sec, obj=[ 0.03503289 14.42887869]]
        INFO - 13:53:13:     14%|█▍        | 1375/10000 [00:03<00:19, 453.55 it/sec, obj=[ 0.02770014 14.68566514]]
        INFO - 13:53:13:     14%|█▍        | 1376/10000 [00:03<00:19, 453.65 it/sec, obj=[ 0.02342177 14.83897819]]
        INFO - 13:53:13:     14%|█▍        | 1377/10000 [00:03<00:19, 453.74 it/sec, obj=[ 0.02270998 14.8480151 ]]
        INFO - 13:53:13:     14%|█▍        | 1378/10000 [00:03<00:19, 453.78 it/sec, obj=[ 0.02159149 14.823479  ]]
        INFO - 13:53:13:     14%|█▍        | 1379/10000 [00:03<00:18, 453.82 it/sec, obj=[ 0.02080189 14.83518463]]
        INFO - 13:53:13:     14%|█▍        | 1380/10000 [00:03<00:18, 453.92 it/sec, obj=[ 0.0204019  14.85280938]]
        INFO - 13:53:13:     14%|█▍        | 1381/10000 [00:03<00:18, 453.96 it/sec, obj=[ 0.02037874 14.85393027]]
        INFO - 13:53:13:     14%|█▍        | 1382/10000 [00:03<00:18, 453.99 it/sec, obj=[ 0.02037936 14.85390295]]
        INFO - 13:53:13:     14%|█▍        | 1383/10000 [00:03<00:18, 454.07 it/sec, obj=[ 0.0203788  14.85392754]]
        INFO - 13:53:13:     14%|█▍        | 1384/10000 [00:03<00:18, 454.17 it/sec, obj=[ 0.02037874 14.85392999]]
        INFO - 13:53:13:     14%|█▍        | 1385/10000 [00:03<00:18, 454.26 it/sec, obj=[ 0.02037874 14.85393024]]
        INFO - 13:53:13: Optimization result:
        INFO - 13:53:13:    Optimizer info:
        INFO - 13:53:13:       Status: None
        INFO - 13:53:13:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:13:       Number of calls to the objective function by the optimizer: 15
        INFO - 13:53:13:    Solution:
        INFO - 13:53:13:       The solution is feasible.
        INFO - 13:53:13:       Objective: -0.060408686643641296
        INFO - 13:53:13:       Standardized constraints:
        INFO - 13:53:13:          beta_sub_optim_constraint = [1.14123062e-08 2.99484293e-05]
        INFO - 13:53:13:       Design space:
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:          | x    | -3.141592653589793 |  -3.124892778045702 | 3.141592653589793 | float |
        INFO - 13:53:13:          | y    | -3.141592653589793 | -0.9308586238288376 | 3.141592653589793 | float |
        INFO - 13:53:13:          | t    |        -inf        |  0.0604086866436413 |        inf        | float |
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13: Solving mNBI sub-problem for beta = [0.95918367 0.04081633]
        INFO - 13:53:13: Optimization problem:
        INFO - 13:53:13:    minimize -t_extraction
        INFO - 13:53:13:    with respect to t, x, y
        INFO - 13:53:13:    subject to constraints:
        INFO - 13:53:13:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:13:    over the design space:
        INFO - 13:53:13:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:13:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:       | x    | -3.141592653589793 |  -3.124892778045702 | 3.141592653589793 | float |
        INFO - 13:53:13:       | y    | -3.141592653589793 | -0.9308586238288376 | 3.141592653589793 | float |
        INFO - 13:53:13:       | t    |        -inf        |  0.0604086866436413 |        inf        | float |
        INFO - 13:53:13:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:     14%|█▍        | 1386/10000 [00:03<00:19, 450.93 it/sec, obj=[ 0.01718534 15.00361975]]
        INFO - 13:53:13:     14%|█▍        | 1387/10000 [00:03<00:19, 451.03 it/sec, obj=[1.40515093e-02 1.51661918e+01]]
        INFO - 13:53:13:     14%|█▍        | 1388/10000 [00:03<00:19, 451.12 it/sec, obj=[8.99963657e-03 1.54765564e+01]]
        INFO - 13:53:13:     14%|█▍        | 1389/10000 [00:03<00:19, 451.21 it/sec, obj=[8.81041146e-03 1.54893324e+01]]
        INFO - 13:53:13:     14%|█▍        | 1390/10000 [00:03<00:19, 451.25 it/sec, obj=[8.79355568e-03 1.54896536e+01]]
        INFO - 13:53:13:     14%|█▍        | 1391/10000 [00:03<00:19, 451.29 it/sec, obj=[8.77687203e-03 1.54874527e+01]]
        INFO - 13:53:13:     14%|█▍        | 1392/10000 [00:03<00:19, 451.34 it/sec, obj=[8.73780366e-03 1.54892227e+01]]
        INFO - 13:53:13:     14%|█▍        | 1393/10000 [00:03<00:19, 451.38 it/sec, obj=[8.72318503e-03 1.54902517e+01]]
        INFO - 13:53:13:     14%|█▍        | 1394/10000 [00:03<00:19, 451.43 it/sec, obj=[8.72241827e-03 1.54903092e+01]]
        INFO - 13:53:13:     14%|█▍        | 1395/10000 [00:03<00:19, 451.47 it/sec, obj=[8.72242522e-03 1.54903088e+01]]
        INFO - 13:53:13: Optimization result:
        INFO - 13:53:13:    Optimizer info:
        INFO - 13:53:13:       Status: None
        INFO - 13:53:13:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:13:       Number of calls to the objective function by the optimizer: 13
        INFO - 13:53:13:    Solution:
        INFO - 13:53:13:       The solution is feasible.
        INFO - 13:53:13:       Objective: -0.04046714980460463
        INFO - 13:53:13:       Standardized constraints:
        INFO - 13:53:13:          beta_sub_optim_constraint = [2.28619346e-11 5.21678970e-07]
        INFO - 13:53:13:       Design space:
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:          | x    | -3.141592653589793 |  -3.083528096506652 | 3.141592653589793 | float |
        INFO - 13:53:13:          | y    | -3.141592653589793 | -0.9582211134522686 | 3.141592653589793 | float |
        INFO - 13:53:13:          | t    |        -inf        | 0.04046714980460463 |        inf        | float |
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13: Solving mNBI sub-problem for beta = [0.97959184 0.02040816]
        INFO - 13:53:13: Optimization problem:
        INFO - 13:53:13:    minimize -t_extraction
        INFO - 13:53:13:    with respect to t, x, y
        INFO - 13:53:13:    subject to constraints:
        INFO - 13:53:13:       beta_sub_optim_constraint <= 0.0
        INFO - 13:53:13:    over the design space:
        INFO - 13:53:13:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:13:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:       | x    | -3.141592653589793 |  -3.083528096506652 | 3.141592653589793 | float |
        INFO - 13:53:13:       | y    | -3.141592653589793 | -0.9582211134522686 | 3.141592653589793 | float |
        INFO - 13:53:13:       | t    |        -inf        | 0.04046714980460463 |        inf        | float |
        INFO - 13:53:13:       +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:     14%|█▍        | 1396/10000 [00:03<00:19, 448.14 it/sec, obj=[7.35549888e-03 1.55917815e+01]]
        INFO - 13:53:13:     14%|█▍        | 1397/10000 [00:03<00:19, 448.17 it/sec, obj=[6.13233104e-03 1.56914972e+01]]
        INFO - 13:53:13:     14%|█▍        | 1398/10000 [00:03<00:19, 448.21 it/sec, obj=[2.22176447e-03 1.61144852e+01]]
        INFO - 13:53:13:     14%|█▍        | 1399/10000 [00:03<00:19, 448.26 it/sec, obj=[2.12134225e-03 1.61290625e+01]]
        INFO - 13:53:13:     14%|█▍        | 1400/10000 [00:03<00:19, 448.30 it/sec, obj=[2.11555065e-03 1.61296819e+01]]
        INFO - 13:53:13:     14%|█▍        | 1401/10000 [00:03<00:19, 448.35 it/sec, obj=[2.11279396e-03 1.61289972e+01]]
        INFO - 13:53:13:     14%|█▍        | 1402/10000 [00:03<00:19, 448.39 it/sec, obj=[2.10659210e-03 1.61289589e+01]]
        INFO - 13:53:13:     14%|█▍        | 1403/10000 [00:03<00:19, 448.44 it/sec, obj=[2.10061020e-03 1.61298536e+01]]
        INFO - 13:53:13:     14%|█▍        | 1404/10000 [00:03<00:19, 448.48 it/sec, obj=[2.10034123e-03 1.61298952e+01]]
        INFO - 13:53:13:     14%|█▍        | 1405/10000 [00:03<00:19, 448.53 it/sec, obj=[2.10033797e-03 1.61298957e+01]]
        INFO - 13:53:13: Optimization result:
        INFO - 13:53:13:    Optimizer info:
        INFO - 13:53:13:       Status: None
        INFO - 13:53:13:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 13:53:13:       Number of calls to the objective function by the optimizer: 13
        INFO - 13:53:13:    Solution:
        INFO - 13:53:13:       The solution is feasible.
        INFO - 13:53:13:       Objective: -0.02032408232425267
        INFO - 13:53:13:       Standardized constraints:
        INFO - 13:53:13:          beta_sub_optim_constraint = [-1.09245946e-13 -2.06584829e-08]
        INFO - 13:53:13:       Design space:
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13:          | x    | -3.141592653589793 |  -3.041696853982727 | 3.141592653589793 | float |
        INFO - 13:53:13:          | y    | -3.141592653589793 | -0.9809813162082901 | 3.141592653589793 | float |
        INFO - 13:53:13:          | t    |        -inf        | 0.02032408232425267 |        inf        | float |
        INFO - 13:53:13:          +------+--------------------+---------------------+-------------------+-------+
        INFO - 13:53:13: Optimization result:
        INFO - 13:53:13:    Optimizer info:
        INFO - 13:53:13:       Status: None
        INFO - 13:53:13:       Message: None
        INFO - 13:53:13:       Number of calls to the objective function by the optimizer: 1553
        INFO - 13:53:13:    Solution:
        INFO - 13:53:13:       Objective: 4.061575498234619
        INFO - 13:53:13:    Pareto efficient solutions:
        INFO - 13:53:13:       Pareto optimal points : 303 / 1405
        INFO - 13:53:13:       Utopia point : [2.24633196e-26 1.00001713e+00]
        INFO - 13:53:13:       Compromise solution (closest to utopia) : [[1.70536873 3.68620577]]
        INFO - 13:53:13:       Distance from utopia : 3.18180639559226
        INFO - 13:53:13:       Objective values:
        INFO - 13:53:13:          +------+-------------+---------+---------+
        INFO - 13:53:13:          | name |           1 |       2 |       3 |
        INFO - 13:53:13:          +------+-------------+---------+---------+
        INFO - 13:53:13:          |    1 | 2.24633e-26 |   24.98 | 1.70537 |
        INFO - 13:53:13:          |    2 |     16.7723 | 1.00002 | 3.68621 |
        INFO - 13:53:13:          +------+-------------+---------+---------+
        INFO - 13:53:13:       Design space:
        INFO - 13:53:13:          +-------+-------------+----+---------+----------+-------------+-------+
        INFO - 13:53:13:          |  name | lower_bound |  1 |       2 |        3 | upper_bound |  type |
        INFO - 13:53:13:          +-------+-------------+----+---------+----------+-------------+-------+
        INFO - 13:53:13:          | x (1) |    -3.14159 | -3 | 1.00094 | -3.14159 |     3.14159 | float |
        INFO - 13:53:13:          | y (1) |    -3.14159 | -1 |  1.9954 | 0.298199 |     3.14159 | float |
        INFO - 13:53:13:          +-------+-------------+----+---------+----------+-------------+-------+




.. GENERATED FROM PYTHON SOURCE LINES 77-83

Display the Pareto front
------------------------
|g| detects the Pareto optimal points and the dominated ones.
There is one interesting area that has a hole in the Pareto front.
The mNBI algorithm avoids running sub-optimizations in this area
which saves computation time.

.. GENERATED FROM PYTHON SOURCE LINES 83-84

.. code-block:: Python

    execute_post(opt_problem, "ParetoFront", save=False, show=True)



.. image-sg:: /examples/multi_objective/images/sphx_glr_plot_mnbi_poloni_001.png
   :alt: Pareto front
   :srcset: /examples/multi_objective/images/sphx_glr_plot_mnbi_poloni_001.png
   :class: sphx-glr-single-img


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

 .. code-block:: none


    <gemseo.post.pareto_front.ParetoFront object at 0x7f2d246c0220>




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

   **Total running time of the script:** (0 minutes 4.297 seconds)


.. _sphx_glr_download_examples_multi_objective_plot_mnbi_poloni.py:

.. only:: html

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

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

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

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

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


.. only:: html

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

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