.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/multi_objective/plot_mnbi_binh_korn.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_binh_korn.py>`
        to download the full example code

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

.. _sphx_glr_examples_multi_objective_plot_mnbi_binh_korn.py:


Multi-objective Binh-Korn example with the mNBI algorithm
=========================================================

In this example, the modified Normal Boundary Intersection (mNBI) algorithm is used
to solve the :class:`.BinhKorn` problem :cite:`binh1997mobes`:

.. math::

   \begin{aligned}
   \text{minimize the objective function } & f_1(x, y) = 4x^2 + 4y^2 \\
   & f_2(x, y) = (x-5)^2 + (y-5)^2 \\
   \text{with respect to the design variables }&x,\,y \\
   \text{subject to the general constraints }
   & g_1(x,y) = (x-5)^2 + y^2 \leq 25.0\\
   & g_2(x, y) = (x-8)^2 + (y+3)^2 \geq 7.7\\
   \text{subject to the bound constraints }
   & 0 \leq x \leq 5.0\\
   & 0 \leq y \leq 3.0
   \end{aligned}

.. GENERATED FROM PYTHON SOURCE LINES 42-53

.. 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.multiobjective_optimization.binh_korn import BinhKorn

    configure_logger()






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

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 54-60

Solve the Binh-Korn optimization problem
----------------------------------------
The 50 sub-optimization problems of mNBI are solved with SLSQP,
a gradient-based optimization algorithm from the NLOPT library,
with a maximum of 200 iterations.
The analytic gradients are provided.

.. GENERATED FROM PYTHON SOURCE LINES 60-70

.. code-block:: Python

    problem = BinhKorn()

    result = execute_algo(
        problem,
        "MNBI",
        max_iter=10000,
        sub_optim_max_iter=200,
        n_sub_optim=50,
        sub_optim_algo="NLOPT_SLSQP",
    )




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

 .. code-block:: none

        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize compute_binhkorn(x, y) = (4*x**2+ 4*y**2, (x-5.)**2 + (y-5.)**2)
        INFO - 08:56:01:    with respect to x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0.0
        INFO - 08:56:01:       ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound | Value | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |   1   |      5      | float |
        INFO - 08:56:01:       | y    |      0      |   1   |      3      | float |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01: Solving optimization problem with algorithm MNBI:
        INFO - 08:56:01: Searching for the individual optimum of each objective
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize f_0
        INFO - 08:56:01:    with respect to x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0.0
        INFO - 08:56:01:       ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound | Value | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |   1   |      5      | float |
        INFO - 08:56:01:       | y    |      0      |   1   |      3      | float |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 5
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: 2.577496310600783e-28
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          ineq1 = [7.10542736e-15]
        INFO - 08:56:01:          ineq2 = [-59.3]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+-----------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |         Value         | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+-----------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |           0           |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 8.027291433915899e-15 |      3      | float |
        INFO - 08:56:01:          +------+-------------+-----------------------+-------------+-------+
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize f_1
        INFO - 08:56:01:    with respect to x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0.0
        INFO - 08:56:01:       ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound | Value | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |   1   |      5      | float |
        INFO - 08:56:01:       | y    |      0      |   1   |      3      | float |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
       ERROR - 08:56:01: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 100
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: 4.0
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          ineq1 = [-22.]
        INFO - 08:56:01:          ineq2 = [-7.3]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value       | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 4.999999999999999 |      5      | float |
        INFO - 08:56:01:          | y    |      0      |         3         |      3      | float |
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.02040816 0.97959184]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound | Value | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |   1   |      5      | float |
        INFO - 08:56:01:       | y    |      0      |   1   |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    |   0   |     inf     | float |
        INFO - 08:56:01:       +------+-------------+-------+-------------+-------+
       ERROR - 08:56:01: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 12
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.019986438077608543
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [4.55071536e-11 1.28416167e-11]
        INFO - 08:56:01:          wrapped_ineq1 = [-21.98060064]
        INFO - 08:56:01:          wrapped_ineq2 = [-8.15508884]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |  4.860718419570534  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.01998643807760854 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.04081633 0.95918367]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |  4.860718419570534  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.01998643807760854 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 6
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.039116963260157823
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.98110345e-09 9.95290073e-10]
        INFO - 08:56:01:          wrapped_ineq1 = [-21.92182929]
        INFO - 08:56:01:          wrapped_ineq2 = [-9.05571225]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |   4.72040974366729  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.03911696326015782 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.06122449 0.93877551]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |   4.72040974366729  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.03911696326015782 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 6
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.05737235642328731
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [7.14383042e-09 1.78594872e-09]
        INFO - 08:56:01:          wrapped_ineq1 = [-21.82280186]
        INFO - 08:56:01:          wrapped_ineq2 = [-10.00289268]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |  4.579050909340598  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.05737235642328731 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.08163265 0.91836735]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |  4.579050909340598  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.05737235642328731 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 6
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.07473266827131965
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [1.20517250e-08 3.01292014e-09]
        INFO - 08:56:01:          wrapped_ineq1 = [-21.6826007]
        INFO - 08:56:01:          wrapped_ineq2 = [-10.99769144]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |  4.436617977435788  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.07473266827131965 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.10204082 0.89795918]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |  4.436617977435788  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.07473266827131965 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 6
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.09117717984627852
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [1.93664267e-08 4.84161777e-09]
        INFO - 08:56:01:          wrapped_ineq1 = [-21.50027272]
        INFO - 08:56:01:          wrapped_ineq2 = [-12.04121077]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |  4.293086085203288  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.09117717984627852 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.12244898 0.87755102]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |  4.293086085203288  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |          3          |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.09117717984627852 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+---------------------+-------------+-------+
       ERROR - 08:56:01: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 7
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.10668436014525945
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.51096929e-11 8.78408457e-12]
        INFO - 08:56:01:          wrapped_ineq1 = [-21.27482751]
        INFO - 08:56:01:          wrapped_ineq2 = [-13.13459612]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 4.148429395439616  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |         3          |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1066843601452594 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.14285714 0.85714286]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 4.148429395439616  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |         3          |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1066843601452594 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 7
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.12123182146850985
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [7.14649673e-10 1.78657089e-10]
        INFO - 08:56:01:          wrapped_ineq1 = [-21.00523522]
        INFO - 08:56:01:          wrapped_ineq2 = [-14.27903853]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |  4.00262104290507  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1212318214685098 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.16326531 0.83673469]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |  4.00262104290507  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1212318214685098 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 7
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.13479627008369346
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.89851706e-09 9.74638148e-10]
        INFO - 08:56:01:          wrapped_ineq1 = [-20.69042434]
        INFO - 08:56:01:          wrapped_ineq2 = [-15.47577721]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 3.855633075120841  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1347962700836935 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.18367347 0.81632653]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 3.855633075120841  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1347962700836935 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 51/10000 [00:00<00:51, 193.34 it/sec, obj=[91.13311604  5.72210115]]
        INFO - 08:56:01:      1%|          | 52/10000 [00:00<00:50, 195.92 it/sec, obj=[90.98201571  5.67057449]]
        INFO - 08:56:01:      1%|          | 53/10000 [00:00<00:50, 198.38 it/sec, obj=[90.98033835  5.67072068]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 7
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.14735345456781318
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [1.27930946e-08 3.19828164e-09]
        INFO - 08:56:01:          wrapped_ineq1 = [-20.32927932]
        INFO - 08:56:01:          wrapped_ineq2 = [-16.72610234]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 3.707436390379335  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1473534545678132 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.20408163 0.79591837]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 3.707436390379335  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1473534545678132 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 54/10000 [00:00<00:52, 189.46 it/sec, obj=[90.98033835  5.67072069]]
        INFO - 08:56:01:      1%|          | 55/10000 [00:00<00:51, 191.89 it/sec, obj=[86.87227776  6.15451932]]
        INFO - 08:56:01:      1%|          | 56/10000 [00:00<00:51, 194.31 it/sec, obj=[86.79273879  6.13168151]]
        INFO - 08:56:01:      1%|          | 57/10000 [00:00<00:50, 196.53 it/sec, obj=[86.64002261  6.07910396]]
        INFO - 08:56:01:      1%|          | 58/10000 [00:00<00:50, 198.69 it/sec, obj=[86.63747508  6.07936207]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 7
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.1588781096372043
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.20401661e-08 8.01002464e-09]
        INFO - 08:56:01:          wrapped_ineq1 = [-19.92063793]
        INFO - 08:56:01:          wrapped_ineq2 = [-18.03135804]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 3.558000670340158  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1588781096372043 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.2244898 0.7755102]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 3.558000670340158  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1588781096372043 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 59/10000 [00:00<00:52, 190.20 it/sec, obj=[86.63747507  6.07936207]]
        INFO - 08:56:01:      1%|          | 60/10000 [00:00<00:51, 192.24 it/sec, obj=[82.63360778  6.59843971]]
        INFO - 08:56:01:      1%|          | 61/10000 [00:00<00:51, 194.41 it/sec, obj=[82.58117253  6.58480869]]
        INFO - 08:56:01:      1%|          | 62/10000 [00:00<00:50, 196.60 it/sec, obj=[82.44216977  6.53629639]]
        INFO - 08:56:01:      1%|          | 63/10000 [00:00<00:50, 198.62 it/sec, obj=[82.43861799  6.53671142]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 7
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.16934389579669745
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [6.79102712e-08 1.69775749e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-19.46328858]
        INFO - 08:56:01:          wrapped_ineq2 = [-19.39294558]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 3.407294307609098  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |         3          |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1693438957966975 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.24489796 0.75510204]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 3.407294307609098  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |         3          |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1693438957966975 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 64/10000 [00:00<00:51, 191.18 it/sec, obj=[82.43861798  6.53671142]]
        INFO - 08:56:01:      1%|          | 65/10000 [00:00<00:51, 193.25 it/sec, obj=[78.53361942  7.08925061]]
        INFO - 08:56:01:      1%|          | 66/10000 [00:00<00:50, 195.28 it/sec, obj=[78.50182599  7.08263752]]
        INFO - 08:56:01:      1%|          | 67/10000 [00:00<00:50, 197.32 it/sec, obj=[78.41003382  7.05023994]]
        INFO - 08:56:01:      1%|          | 68/10000 [00:00<00:49, 199.32 it/sec, obj=[78.38769295  7.04400749]]
        INFO - 08:56:01:      1%|          | 69/10000 [00:00<00:49, 201.21 it/sec, obj=[78.38750419  7.04403278]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.17872333352271239
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.10178541e-10 5.25481880e-11]
        INFO - 08:56:01:          wrapped_ineq1 = [-18.95596722]
        INFO - 08:56:01:          wrapped_ineq2 = [-20.81232682]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 3.255284326757868  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1787233335227124 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.26530612 0.73469388]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 3.255284326757868  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1787233335227124 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 70/10000 [00:00<00:51, 192.97 it/sec, obj=[78.38750419  7.04403278]]
        INFO - 08:56:01:      1%|          | 71/10000 [00:00<00:50, 194.86 it/sec, obj=[74.5757022   7.62809747]]
        INFO - 08:56:01:      1%|          | 72/10000 [00:00<00:50, 196.71 it/sec, obj=[74.55815323  7.62633759]]
        INFO - 08:56:01:      1%|          | 73/10000 [00:00<00:49, 198.58 it/sec, obj=[74.52212525  7.613629  ]]
        INFO - 08:56:01:      1%|          | 74/10000 [00:00<00:49, 200.42 it/sec, obj=[74.48992139  7.60235729]]
        INFO - 08:56:01:      1%|          | 75/10000 [00:00<00:49, 202.16 it/sec, obj=[74.48803532  7.6026458 ]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.18698773568316415
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.31057591e-08 5.77643711e-09]
        INFO - 08:56:01:          wrapped_ineq1 = [-18.3973542]
        INFO - 08:56:01:          wrapped_ineq2 = [-22.29102798]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 3.101936303227963  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1869877356831642 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.28571429 0.71428571]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 3.101936303227963  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.999999999999999  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1869877356831642 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 76/10000 [00:00<00:50, 195.31 it/sec, obj=[74.48803531  7.6026458 ]]
        INFO - 08:56:01:      1%|          | 77/10000 [00:00<00:50, 197.04 it/sec, obj=[70.76339035  8.21617467]]
        INFO - 08:56:01:      1%|          | 78/10000 [00:00<00:49, 198.65 it/sec, obj=[70.75364182  8.2170892 ]]
        INFO - 08:56:01:      1%|          | 79/10000 [00:00<00:49, 200.31 it/sec, obj=[70.74802175  8.21511043]]
        INFO - 08:56:01:      1%|          | 80/10000 [00:00<00:49, 202.02 it/sec, obj=[70.74140345  8.21207811]]
        INFO - 08:56:01:      1%|          | 81/10000 [00:00<00:48, 203.60 it/sec, obj=[70.73968188  8.21237139]]
        INFO - 08:56:01:      1%|          | 82/10000 [00:00<00:48, 205.25 it/sec, obj=[70.73968188  8.21237139]]
        INFO - 08:56:01:      1%|          | 83/10000 [00:00<00:47, 206.87 it/sec, obj=[70.73968188  8.21237139]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 11
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.19414099479150054
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.11356345e-08 7.78391573e-09]
        INFO - 08:56:01:          wrapped_ineq1 = [-17.92019865]
        INFO - 08:56:01:          wrapped_ineq2 = [-23.53802261]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.973629789913416  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.973625118122099  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.1941409947915005 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.30612245 0.69387755]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.973629789913416  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.973625118122099  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.1941409947915005 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 84/10000 [00:00<00:49, 199.75 it/sec, obj=[70.73968188  8.21237139]]
        INFO - 08:56:01:      1%|          | 85/10000 [00:00<00:49, 201.32 it/sec, obj=[67.09621873  8.85332492]]
        INFO - 08:56:01:      1%|          | 86/10000 [00:00<00:48, 202.83 it/sec, obj=[67.08804434  8.85480969]]
        INFO - 08:56:01:      1%|          | 87/10000 [00:00<00:48, 204.34 it/sec, obj=[67.0880443  8.8548097]]
        INFO - 08:56:01:      1%|          | 88/10000 [00:00<00:48, 205.76 it/sec, obj=[67.0880443  8.8548097]]
        INFO - 08:56:01:      1%|          | 89/10000 [00:00<00:47, 207.25 it/sec, obj=[67.0880443  8.8548097]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.20058310916839558
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.48988449e-07 6.22471390e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-17.67674604]
        INFO - 08:56:01:          wrapped_ineq2 = [-24.24808091]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.895862173797936  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.895857965367402  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2005831091683956 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.32653061 0.67346939]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.895862173797936  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.895857965367402  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2005831091683956 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 90/10000 [00:00<00:49, 201.24 it/sec, obj=[67.0880443  8.8548097]]
        INFO - 08:56:01:      1%|          | 91/10000 [00:00<00:48, 202.75 it/sec, obj=[63.52518031  9.52298588]]
        INFO - 08:56:01:      1%|          | 92/10000 [00:00<00:48, 204.15 it/sec, obj=[63.51711685  9.524547  ]]
        INFO - 08:56:01:      1%|          | 93/10000 [00:00<00:48, 205.61 it/sec, obj=[63.51711681  9.52454701]]
        INFO - 08:56:01:      1%|          | 94/10000 [00:00<00:47, 207.02 it/sec, obj=[63.51711681  9.52454701]]
        INFO - 08:56:01:      1%|          | 95/10000 [00:00<00:47, 208.46 it/sec, obj=[63.51711681  9.52454701]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.20643176575416938
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.55896794e-07 6.39742002e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-17.42000005]
        INFO - 08:56:01:          wrapped_ineq2 = [-24.97356892]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.817738504953261  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |  2.81773471599256  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2064317657541694 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.34693878 0.65306122]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.817738504953261  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |  2.81773471599256  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2064317657541694 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 96/10000 [00:00<00:48, 202.54 it/sec, obj=[63.51711681  9.52454701]]
        INFO - 08:56:01:      1%|          | 97/10000 [00:00<00:48, 203.94 it/sec, obj=[60.03596622 10.22032201]]
        INFO - 08:56:01:      1%|          | 98/10000 [00:00<00:48, 205.26 it/sec, obj=[60.02801834 10.22196176]]
        INFO - 08:56:01:      1%|          | 99/10000 [00:00<00:47, 206.62 it/sec, obj=[60.0280183  10.22196177]]
        INFO - 08:56:01:      1%|          | 100/10000 [00:00<00:47, 207.98 it/sec, obj=[60.0280183  10.22196177]]
        INFO - 08:56:01:      1%|          | 101/10000 [00:00<00:47, 209.29 it/sec, obj=[60.0280183  10.22196177]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.2116787386187538
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.63062965e-07 6.57657448e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-17.14977639]
        INFO - 08:56:01:          wrapped_ineq2 = [-25.71470053]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.739253845837193  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.739250436423679  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2116787386187538 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.36734694 0.63265306]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.739253845837193  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.739250436423679  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2116787386187538 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 102/10000 [00:00<00:48, 203.90 it/sec, obj=[60.0280183  10.22196177]]
        INFO - 08:56:01:      1%|          | 103/10000 [00:00<00:48, 205.21 it/sec, obj=[56.62972127 10.94572048]]
        INFO - 08:56:01:      1%|          | 104/10000 [00:00<00:47, 206.49 it/sec, obj=[56.62189382 10.94744125]]
        INFO - 08:56:01:      1%|          | 105/10000 [00:00<00:47, 207.77 it/sec, obj=[56.62189377 10.94744126]]
        INFO - 08:56:01:      1%|          | 106/10000 [00:00<00:47, 209.05 it/sec, obj=[56.62189377 10.94744126]]
        INFO - 08:56:01:      1%|          | 107/10000 [00:00<00:47, 210.34 it/sec, obj=[56.62189377 10.94744126]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.21631560868059505
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.70499392e-07 6.76248444e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-16.86588647]
        INFO - 08:56:01:          wrapped_ineq2 = [-26.47169467]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value       | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.660403143187807 |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.660400077024827 |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.216315608680595 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.3877551 0.6122449]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value       | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.660403143187807 |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.660400077024827 |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.216315608680595 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 108/10000 [00:00<00:48, 205.01 it/sec, obj=[56.62189377 10.94744126]]
        INFO - 08:56:01:      1%|          | 109/10000 [00:00<00:47, 206.27 it/sec, obj=[53.3076172  11.69957762]]
        INFO - 08:56:01:      1%|          | 110/10000 [00:00<00:47, 207.46 it/sec, obj=[53.29991522 11.70138186]]
        INFO - 08:56:01:      1%|          | 111/10000 [00:00<00:47, 208.68 it/sec, obj=[53.29991518 11.70138187]]
        INFO - 08:56:01:      1%|          | 112/10000 [00:00<00:47, 209.88 it/sec, obj=[53.29991518 11.70138187]]
        INFO - 08:56:01:      1%|          | 113/10000 [00:00<00:46, 211.08 it/sec, obj=[53.29991518 11.70138187]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.22033375866664898
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.78218707e-07 6.95546820e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-16.56813726]
        INFO - 08:56:01:          wrapped_ineq2 = [-27.24477539]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value       | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.581181224985352 |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.581178469088097 |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.220333758666649 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.40816327 0.59183673]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value       | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.581181224985352 |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.581178469088097 |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.220333758666649 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+-------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 114/10000 [00:00<00:47, 206.22 it/sec, obj=[53.29991518 11.70138187]]
        INFO - 08:56:01:      1%|          | 115/10000 [00:00<00:47, 207.40 it/sec, obj=[50.0708536  12.48229914]]
        INFO - 08:56:01:      1%|          | 116/10000 [00:00<00:47, 208.55 it/sec, obj=[50.06328236 12.48418942]]
        INFO - 08:56:01:      1%|          | 117/10000 [00:00<00:47, 209.68 it/sec, obj=[50.06328232 12.48418943]]
        INFO - 08:56:01:      1%|          | 118/10000 [00:00<00:46, 210.84 it/sec, obj=[50.06328232 12.48418943]]
        INFO - 08:56:01:      1%|          | 119/10000 [00:00<00:46, 211.98 it/sec, obj=[50.06328232 12.48418943]]
       ERROR - 08:56:01: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.22372436651841346
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.86234556e-07 7.15586328e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-16.25633116]
        INFO - 08:56:01:          wrapped_ineq2 = [-28.03417206]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.501582796482902  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.501580320890217  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2237243665184135 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.42857143 0.57142857]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.501582796482902  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.501580320890217  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2237243665184135 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|          | 120/10000 [00:00<00:47, 206.58 it/sec, obj=[50.06328232 12.48418943]]
        INFO - 08:56:01:      1%|          | 121/10000 [00:00<00:47, 207.71 it/sec, obj=[46.92065884 13.2943005 ]]
        INFO - 08:56:01:      1%|          | 122/10000 [00:00<00:47, 208.79 it/sec, obj=[46.91322381 13.29627946]]
        INFO - 08:56:01:      1%|          | 123/10000 [00:00<00:47, 209.88 it/sec, obj=[46.91322377 13.29627947]]
        INFO - 08:56:01:      1%|          | 124/10000 [00:00<00:46, 210.98 it/sec, obj=[46.91322377 13.29627947]]
        INFO - 08:56:01:      1%|▏         | 125/10000 [00:00<00:46, 212.03 it/sec, obj=[46.91322377 13.29627947]]
       ERROR - 08:56:01: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.22647839851317916
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [2.94561392e-07 7.36403436e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-15.93026579]
        INFO - 08:56:01:          wrapped_ineq2 = [-28.84011959]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.421602436067144  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.421600213577244  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2264783985131792 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.44897959 0.55102041]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.421602436067144  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.421600213577244  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2264783985131792 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|▏         | 126/10000 [00:00<00:47, 207.40 it/sec, obj=[46.91322377 13.29627947]]
        INFO - 08:56:01:      1%|▏         | 127/10000 [00:00<00:47, 208.47 it/sec, obj=[43.85829104 14.13600721]]
        INFO - 08:56:01:      1%|▏         | 128/10000 [00:00<00:47, 209.50 it/sec, obj=[43.85099793 14.1380776 ]]
        INFO - 08:56:01:      1%|▏         | 129/10000 [00:00<00:46, 210.54 it/sec, obj=[43.85099789 14.13807762]]
        INFO - 08:56:01:      1%|▏         | 130/10000 [00:00<00:46, 211.57 it/sec, obj=[43.85099789 14.13807762]]
        INFO - 08:56:01:      1%|▏         | 131/10000 [00:00<00:46, 212.60 it/sec, obj=[43.85099789 14.13807762]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.22858660208532175
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.03214339e-07 7.58035767e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-15.5897339]
        INFO - 08:56:01:          wrapped_ineq2 = [-29.66285855]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.341234590940154  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.341232596868358  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2285866020853217 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.46938776 0.53061224]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.341234590940154  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.341232596868358  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2285866020853217 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|▏         | 132/10000 [00:00<00:47, 208.25 it/sec, obj=[43.85099789 14.13807762]]
        INFO - 08:56:01:      1%|▏         | 133/10000 [00:00<00:47, 209.30 it/sec, obj=[40.88503908 15.00785519]]
        INFO - 08:56:01:      1%|▏         | 134/10000 [00:00<00:46, 210.27 it/sec, obj=[40.87789385 15.01001989]]
        INFO - 08:56:01:      1%|▏         | 135/10000 [00:00<00:46, 211.27 it/sec, obj=[40.8778938 15.0100199]]
        INFO - 08:56:01:      1%|▏         | 136/10000 [00:00<00:46, 212.28 it/sec, obj=[40.8778938 15.0100199]]
        INFO - 08:56:01:      1%|▏         | 137/10000 [00:00<00:46, 213.26 it/sec, obj=[40.8778938 15.0100199]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.2300394983315002
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.12209433e-07 7.80523699e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-15.23452317]
        INFO - 08:56:01:          wrapped_ineq2 = [-30.5026354]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.260473572612368  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.260471784569106  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2300394983315002 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.48979592 0.51020408]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.260473572612368  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.260471784569106  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2300394983315002 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|▏         | 138/10000 [00:00<00:47, 208.99 it/sec, obj=[40.8778938 15.0100199]]
        INFO - 08:56:01:      1%|▏         | 139/10000 [00:00<00:46, 209.97 it/sec, obj=[38.00222368 15.91029114]]
        INFO - 08:56:01:      1%|▏         | 140/10000 [00:00<00:46, 210.92 it/sec, obj=[37.99523253 15.91255311]]
        INFO - 08:56:01:      1%|▏         | 141/10000 [00:00<00:46, 211.87 it/sec, obj=[37.99523249 15.91255313]]
        INFO - 08:56:01:      1%|▏         | 142/10000 [00:00<00:46, 212.83 it/sec, obj=[37.99523249 15.91255313]]
        INFO - 08:56:01:      1%|▏         | 143/10000 [00:00<00:46, 213.79 it/sec, obj=[37.99523249 15.91255313]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.23082737418257268
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.21563956e-07 8.03909845e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-14.86441601]
        INFO - 08:56:01:          wrapped_ineq2 = [-31.35970267]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      |  2.17931355219642  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.179311949883894  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2308273741825727 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.51020408 0.48979592]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      |  2.17931355219642  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.179311949883894  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2308273741825727 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      1%|▏         | 144/10000 [00:00<00:46, 209.80 it/sec, obj=[37.99523249 15.91255313]]
        INFO - 08:56:01:      1%|▏         | 145/10000 [00:00<00:46, 210.76 it/sec, obj=[35.21119851 16.84377288]]
        INFO - 08:56:01:      1%|▏         | 146/10000 [00:00<00:46, 211.66 it/sec, obj=[35.20436793 16.84613522]]
        INFO - 08:56:01:      1%|▏         | 147/10000 [00:00<00:46, 212.59 it/sec, obj=[35.20436789 16.84613524]]
        INFO - 08:56:01:      1%|▏         | 148/10000 [00:00<00:46, 213.50 it/sec, obj=[35.20436789 16.84613524]]
        INFO - 08:56:01:      1%|▏         | 149/10000 [00:00<00:45, 214.41 it/sec, obj=[35.20436789 16.84613524]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.23094027422393923
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.31295993e-07 8.28240108e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-14.47918943]
        INFO - 08:56:01:          wrapped_ineq2 = [-32.23431923]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.097748555490748  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 2.097747120516756  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2309402742239392 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.53061224 0.46938776]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.097748555490748  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 2.097747120516756  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2309402742239392 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      2%|▏         | 150/10000 [00:00<00:46, 210.41 it/sec, obj=[35.20436789 16.84613524]]
        INFO - 08:56:01:      2%|▏         | 151/10000 [00:00<00:46, 211.32 it/sec, obj=[32.51335135 17.80876979]]
        INFO - 08:56:01:      2%|▏         | 152/10000 [00:00<00:46, 212.20 it/sec, obj=[32.5066881  17.81123571]]
        INFO - 08:56:01:      2%|▏         | 153/10000 [00:00<00:46, 213.08 it/sec, obj=[32.50668806 17.81123573]]
        INFO - 08:56:01:      2%|▏         | 154/10000 [00:00<00:46, 213.96 it/sec, obj=[32.50668806 17.81123573]]
        INFO - 08:56:01:      2%|▏         | 155/10000 [00:00<00:45, 214.83 it/sec, obj=[32.50668806 17.81123573]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.23036799214481465
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.41424769e-07 8.53562128e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-14.0786148]
        INFO - 08:56:01:          wrapped_ineq2 = [-33.12675045]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 2.015772457841285  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |  2.01577117354882  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2303679921448147 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.55102041 0.44897959]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 2.015772457841285  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |  2.01577117354882  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2303679921448147 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      2%|▏         | 156/10000 [00:00<00:46, 211.09 it/sec, obj=[32.50668806 17.81123573]]
        INFO - 08:56:01:      2%|▏         | 157/10000 [00:00<00:46, 211.99 it/sec, obj=[29.9101053  18.80576318]]
        INFO - 08:56:01:      2%|▏         | 158/10000 [00:00<00:46, 212.81 it/sec, obj=[29.90361644 18.80833602]]
        INFO - 08:56:01:      2%|▏         | 159/10000 [00:00<00:46, 213.68 it/sec, obj=[29.9036164  18.80833604]]
        INFO - 08:56:01:      2%|▏         | 160/10000 [00:00<00:45, 214.51 it/sec, obj=[29.9036164  18.80833604]]
        INFO - 08:56:01:      2%|▏         | 161/10000 [00:00<00:45, 215.37 it/sec, obj=[29.9036164  18.80833604]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.22910006179565373
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.51970648e-07 8.79926638e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-13.66245768]
        INFO - 08:56:01:          wrapped_ineq2 = [-34.03726845]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 1.933378978768651  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 1.933377830080014  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2291000617956537 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.57142857 0.42857143]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 1.933378978768651  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 1.933377830080014  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2291000617956537 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      2%|▏         | 162/10000 [00:00<00:46, 211.64 it/sec, obj=[29.9036164  18.80833604]]
        INFO - 08:56:01:      2%|▏         | 163/10000 [00:00<00:46, 212.50 it/sec, obj=[27.40292005 19.83524673]]
        INFO - 08:56:01:      2%|▏         | 164/10000 [00:00<00:46, 213.31 it/sec, obj=[27.39661294 19.83792998]]
        INFO - 08:56:01:      2%|▏         | 165/10000 [00:00<00:45, 214.12 it/sec, obj=[27.3966129  19.83792999]]
        INFO - 08:56:01:      2%|▏         | 166/10000 [00:00<00:45, 214.95 it/sec, obj=[27.3966129  19.83792999]]
        INFO - 08:56:01:      2%|▏         | 167/10000 [00:00<00:45, 215.76 it/sec, obj=[27.3966129  19.83792999]]
        INFO - 08:56:01:      2%|▏         | 168/10000 [00:00<00:45, 216.58 it/sec, obj=[27.3966129  19.83792999]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 10
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.2271257478315496
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.62955255e-07 9.07388049e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-13.2304776]
        INFO - 08:56:01:          wrapped_ineq2 = [-34.96615235]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 1.850561676347525  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 1.850560649621767  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2271257478315496 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.59183673 0.40816327]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 1.850561676347525  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 1.850560649621767  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2271257478315496 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      2%|▏         | 169/10000 [00:00<00:46, 212.55 it/sec, obj=[27.3966129  19.83792999]]
        INFO - 08:56:01:      2%|▏         | 170/10000 [00:00<00:46, 213.39 it/sec, obj=[24.99329321 20.89772698]]
        INFO - 08:56:01:      2%|▏         | 171/10000 [00:00<00:45, 214.15 it/sec, obj=[24.98717557 20.90052424]]
        INFO - 08:56:01:      2%|▏         | 172/10000 [00:00<00:45, 214.94 it/sec, obj=[24.98717553 20.90052426]]
        INFO - 08:56:01:      2%|▏         | 173/10000 [00:00<00:45, 215.67 it/sec, obj=[24.98717553 20.90052426]]
        INFO - 08:56:01:      2%|▏         | 174/10000 [00:00<00:45, 216.45 it/sec, obj=[24.98717553 20.90052426]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.22443403591793576
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.74401839e-07 9.36004643e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-12.78242782]
        INFO - 08:56:01:          wrapped_ineq2 = [-35.91368853]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 1.767313941323945  |      5      | float |
        INFO - 08:56:01:          | y    |      0      |  1.76731302422656  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2244340359179358 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.6122449 0.3877551]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 1.767313941323945  |      5      | float |
        INFO - 08:56:01:       | y    |      0      |  1.76731302422656  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2244340359179358 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      2%|▏         | 175/10000 [00:00<00:46, 212.90 it/sec, obj=[24.98717553 20.90052426]]
        INFO - 08:56:01:      2%|▏         | 176/10000 [00:00<00:45, 213.70 it/sec, obj=[22.68276174 21.99372372]]
        INFO - 08:56:01:      2%|▏         | 177/10000 [00:00<00:45, 214.44 it/sec, obj=[22.67684161 21.99663877]]
        INFO - 08:56:01:      2%|▏         | 178/10000 [00:00<00:45, 215.19 it/sec, obj=[22.67684157 21.99663879]]
        INFO - 08:56:01:      2%|▏         | 179/10000 [00:00<00:45, 215.96 it/sec, obj=[22.67684157 21.99663879]]
        INFO - 08:56:01:      2%|▏         | 180/10000 [00:00<00:45, 216.70 it/sec, obj=[22.67684157 21.99663879]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.2210136224732968
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.86334811e-07 9.65836904e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-12.31805516]
        INFO - 08:56:01:          wrapped_ineq2 = [-36.8801709]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 1.683628990955317  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 1.683628172339174  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2210136224732968 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.63265306 0.36734694]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 1.683628990955317  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 1.683628172339174  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2210136224732968 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      2%|▏         | 181/10000 [00:00<00:46, 213.35 it/sec, obj=[22.67684157 21.99663879]]
        INFO - 08:56:01:      2%|▏         | 182/10000 [00:00<00:45, 214.11 it/sec, obj=[20.47290335 23.12377058]]
        INFO - 08:56:01:      2%|▏         | 183/10000 [00:00<00:45, 214.84 it/sec, obj=[20.46718914 23.12680734]]
        INFO - 08:56:01:      2%|▏         | 184/10000 [00:00<00:45, 215.58 it/sec, obj=[20.4671891  23.12680736]]
        INFO - 08:56:01:      2%|▏         | 185/10000 [00:00<00:45, 216.32 it/sec, obj=[20.4671891  23.12680736]]
        INFO - 08:56:01:      2%|▏         | 186/10000 [00:00<00:45, 217.07 it/sec, obj=[20.4671891  23.12680736]]
        INFO - 08:56:01: Optimization result:
        INFO - 08:56:01:    Optimizer info:
        INFO - 08:56:01:       Status: None
        INFO - 08:56:01:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:01:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:01:    Solution:
        INFO - 08:56:01:       The solution is feasible.
        INFO - 08:56:01:       Objective: -0.21685290392186843
        INFO - 08:56:01:       Standardized constraints:
        INFO - 08:56:01:          beta_sub_optim_constraint = [3.98780355e-07 9.96950877e-08]
        INFO - 08:56:01:          wrapped_ineq1 = [-11.83709968]
        INFO - 08:56:01:          wrapped_ineq2 = [-37.86590114]
        INFO - 08:56:01:       Design space:
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:          | x    |      0      | 1.599499862556864  |      5      | float |
        INFO - 08:56:01:          | y    |      0      | 1.599499132353464  |      3      | float |
        INFO - 08:56:01:          | t    |     -inf    | 0.2168529039218684 |     inf     | float |
        INFO - 08:56:01:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01: Solving mNBI sub-problem for beta = [0.65306122 0.34693878]
        INFO - 08:56:01: Optimization problem:
        INFO - 08:56:01:    minimize -t_extraction
        INFO - 08:56:01:    with respect to t, x, y
        INFO - 08:56:01:    subject to constraints:
        INFO - 08:56:01:       wrapped_ineq1 <= 0.0
        INFO - 08:56:01:       wrapped_ineq2 <= 0.0
        INFO - 08:56:01:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:01:    over the design space:
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:       | x    |      0      | 1.599499862556864  |      5      | float |
        INFO - 08:56:01:       | y    |      0      | 1.599499132353464  |      3      | float |
        INFO - 08:56:01:       | t    |     -inf    | 0.2168529039218684 |     inf     | float |
        INFO - 08:56:01:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:01:      2%|▏         | 187/10000 [00:00<00:45, 213.75 it/sec, obj=[20.4671891  23.12680736]]
        INFO - 08:56:01:      2%|▏         | 188/10000 [00:00<00:45, 214.49 it/sec, obj=[18.36533807 24.28841546]]
        INFO - 08:56:02:      2%|▏         | 189/10000 [00:00<00:45, 215.19 it/sec, obj=[18.35983858 24.29157802]]
        INFO - 08:56:02:      2%|▏         | 190/10000 [00:00<00:45, 215.91 it/sec, obj=[18.35983854 24.29157804]]
        INFO - 08:56:02:      2%|▏         | 191/10000 [00:00<00:45, 216.61 it/sec, obj=[18.35983854 24.29157804]]
        INFO - 08:56:02:      2%|▏         | 192/10000 [00:00<00:45, 217.34 it/sec, obj=[18.35983854 24.29157804]]
        INFO - 08:56:02:      2%|▏         | 193/10000 [00:00<00:44, 218.04 it/sec, obj=[18.35983854 24.29157804]]
        INFO - 08:56:02:      2%|▏         | 194/10000 [00:00<00:44, 218.75 it/sec, obj=[18.35983854 24.29157804]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 11
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.21193996542739033
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [4.11766273e-07 1.02941568e-07]
        INFO - 08:56:02:          wrapped_ineq1 = [-11.3392945]
        INFO - 08:56:02:          wrapped_ineq2 = [-38.87118906]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      |  1.51491940673715  |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 1.514918755857356  |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.2119399654273903 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.67346939 0.32653061]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      |  1.51491940673715  |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 1.514918755857356  |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.2119399654273903 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 195/10000 [00:00<00:45, 215.58 it/sec, obj=[18.35983854 24.29157804]]
        INFO - 08:56:02:      2%|▏         | 196/10000 [00:00<00:45, 216.29 it/sec, obj=[16.36172986 25.48822114]]
        INFO - 08:56:02:      2%|▏         | 197/10000 [00:00<00:45, 216.96 it/sec, obj=[16.3564543  25.49151377]]
        INFO - 08:56:02:      2%|▏         | 198/10000 [00:00<00:45, 217.64 it/sec, obj=[16.35645426 25.49151379]]
        INFO - 08:56:02:      2%|▏         | 199/10000 [00:00<00:44, 218.33 it/sec, obj=[16.35645426 25.49151379]]
        INFO - 08:56:02:      2%|▏         | 200/10000 [00:00<00:44, 219.02 it/sec, obj=[16.35645426 25.49151379]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.20626256907696766
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [4.25322266e-07 1.06330560e-07]
        INFO - 08:56:02:          wrapped_ineq1 = [-10.82436549]
        INFO - 08:56:02:          wrapped_ineq2 = [-39.89635283]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 1.429880280304049  |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 1.429879700547501  |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.2062625690769677 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.69387755 0.30612245]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 1.429880280304049  |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 1.429879700547501  |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.2062625690769677 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 201/10000 [00:00<00:45, 215.86 it/sec, obj=[16.35645426 25.49151379]]
        INFO - 08:56:02:      2%|▏         | 202/10000 [00:00<00:45, 216.55 it/sec, obj=[14.47758697 26.71439073]]
        INFO - 08:56:02:      2%|▏         | 203/10000 [00:00<00:45, 217.20 it/sec, obj=[14.45874675 26.72719261]]
        INFO - 08:56:02:      2%|▏         | 204/10000 [00:00<00:44, 217.89 it/sec, obj=[14.45874622 26.72719297]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 7
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.19980817971995912
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [6.13336110e-06 1.53334028e-06]
        INFO - 08:56:02:          wrapped_ineq1 = [-10.29203113]
        INFO - 08:56:02:          wrapped_ineq2 = [-40.9417191]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 1.344374961670887  |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 1.344374445829802  |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1998081797199591 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.71428571 0.28571429]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 1.344374961670887  |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 1.344374445829802  |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1998081797199591 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 205/10000 [00:00<00:45, 214.92 it/sec, obj=[14.45874622 26.72719297]]
        INFO - 08:56:02:      2%|▏         | 206/10000 [00:00<00:45, 215.60 it/sec, obj=[12.79525861 27.90527931]]
        INFO - 08:56:02:      2%|▏         | 207/10000 [00:00<00:45, 216.28 it/sec, obj=[12.66849755 27.99919087]]
        INFO - 08:56:02:      2%|▏         | 208/10000 [00:00<00:45, 216.93 it/sec, obj=[12.66847181 27.99921   ]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 6
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.19256375769204676
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [1.31272770e-11 3.24895666e-12]
        INFO - 08:56:02:          wrapped_ineq1 = [-9.74200144]
        INFO - 08:56:02:          wrapped_ineq2 = [-42.00762488]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 1.258395613690263  |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 1.258395181254487  |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1925637576920468 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.73469388 0.26530612]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 1.258395613690263  |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 1.258395181254487  |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1925637576920468 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 209/10000 [00:00<00:45, 213.91 it/sec, obj=[12.66847181 27.99921   ]]
        INFO - 08:56:02:      2%|▏         | 210/10000 [00:00<00:45, 214.49 it/sec, obj=[11.20879156 29.1285928 ]]
        INFO - 08:56:02:      2%|▏         | 211/10000 [00:00<00:45, 215.17 it/sec, obj=[10.98752193 29.30810713]]
        INFO - 08:56:02:      2%|▏         | 212/10000 [00:00<00:45, 215.79 it/sec, obj=[10.98743766 29.30817594]]
        INFO - 08:56:02:      2%|▏         | 213/10000 [00:00<00:45, 216.43 it/sec, obj=[10.98743766 29.30817594]]
        INFO - 08:56:02:      2%|▏         | 214/10000 [00:00<00:45, 217.06 it/sec, obj=[10.98743766 29.30817594]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.18451613967087852
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [1.61517022e-10 4.03943545e-11]
        INFO - 08:56:02:          wrapped_ineq1 = [-9.17397942]
        INFO - 08:56:02:          wrapped_ineq2 = [-43.09441446]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 1.171934353980414  |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 1.171933993216481  |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1845161396708785 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.75510204 0.24489796]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 1.171934353980414  |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 1.171933993216481  |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1845161396708785 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 215/10000 [00:01<00:45, 213.86 it/sec, obj=[10.98743766 29.30817594]]
        INFO - 08:56:02:      2%|▏         | 216/10000 [00:01<00:45, 214.52 it/sec, obj=[ 9.71968091 30.3848744 ]]
        INFO - 08:56:02:      2%|▏         | 217/10000 [00:01<00:45, 215.16 it/sec, obj=[ 9.41767114 30.65456624]]
        INFO - 08:56:02:      2%|▏         | 218/10000 [00:01<00:45, 215.76 it/sec, obj=[ 9.4175016  30.65471918]]
        INFO - 08:56:02:      2%|▏         | 219/10000 [00:01<00:45, 216.39 it/sec, obj=[ 9.4175016  30.65471918]]
        INFO - 08:56:02:      2%|▏         | 220/10000 [00:01<00:45, 216.98 it/sec, obj=[ 9.4175016  30.65471918]]
       ERROR - 08:56:02: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.1756516238776123
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [7.63062502e-10 1.90773619e-10]
        INFO - 08:56:02:          wrapped_ineq1 = [-8.58765892]
        INFO - 08:56:02:          wrapped_ineq2 = [-44.20244331]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 1.084982960726322  |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 1.084982661396205  |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1756516238776123 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.7755102 0.2244898]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 1.084982960726322  |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 1.084982661396205  |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1756516238776123 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 221/10000 [00:01<00:45, 214.20 it/sec, obj=[ 9.4175016  30.65471918]]
        INFO - 08:56:02:      2%|▏         | 222/10000 [00:01<00:45, 214.82 it/sec, obj=[ 8.32946895 31.67468615]]
        INFO - 08:56:02:      2%|▏         | 223/10000 [00:01<00:45, 215.46 it/sec, obj=[ 7.96084914 32.03921088]]
        INFO - 08:56:02:      2%|▏         | 224/10000 [00:01<00:45, 216.06 it/sec, obj=[ 7.96057475 32.03948612]]
        INFO - 08:56:02:      2%|▏         | 225/10000 [00:01<00:45, 216.65 it/sec, obj=[ 7.96057475 32.03948612]]
        INFO - 08:56:02:      2%|▏         | 226/10000 [00:01<00:44, 217.26 it/sec, obj=[ 7.96057475 32.03948612]]
       ERROR - 08:56:02: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.16595615806991307
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [2.36441267e-09 5.91105831e-10]
        INFO - 08:56:02:          wrapped_ineq1 = [-7.98272517]
        INFO - 08:56:02:          wrapped_ineq2 = [-45.33207681]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 0.9975330019237079 |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 0.9975327551071317 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1659561580699131 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.79591837 0.20408163]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 0.9975330019237079 |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 0.9975327551071317 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1659561580699131 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 227/10000 [00:01<00:45, 214.58 it/sec, obj=[ 7.96057475 32.03948612]]
        INFO - 08:56:02:      2%|▏         | 228/10000 [00:01<00:45, 215.18 it/sec, obj=[ 7.03974946 32.99860817]]
        INFO - 08:56:02:      2%|▏         | 229/10000 [00:01<00:45, 215.78 it/sec, obj=[ 6.61901468 33.46270227]]
        INFO - 08:56:02:      2%|▏         | 230/10000 [00:01<00:45, 216.35 it/sec, obj=[ 6.61862363 33.46314191]]
        INFO - 08:56:02:      2%|▏         | 231/10000 [00:01<00:45, 216.94 it/sec, obj=[ 6.61862363 33.46314191]]
        INFO - 08:56:02:      2%|▏         | 232/10000 [00:01<00:44, 217.53 it/sec, obj=[ 6.61862363 33.46314191]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.15541528244966385
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [5.77598058e-09 1.44399870e-09]
        INFO - 08:56:02:          wrapped_ineq1 = [-7.35885427]
        INFO - 08:56:02:          wrapped_ineq2 = [-46.48369092]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 0.9095758011140623 |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 0.9095755990500299 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1554152824496638 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.81632653 0.18367347]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 0.9095758011140623 |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 0.9095755990500299 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1554152824496638 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 233/10000 [00:01<00:45, 214.92 it/sec, obj=[ 6.61862363 33.46314191]]
        INFO - 08:56:02:      2%|▏         | 234/10000 [00:01<00:45, 215.51 it/sec, obj=[ 5.85216964 34.35723983]]
        INFO - 08:56:02:      2%|▏         | 235/10000 [00:01<00:45, 216.11 it/sec, obj=[ 5.3941836  34.92572093]]
        INFO - 08:56:02:      2%|▏         | 236/10000 [00:01<00:45, 216.67 it/sec, obj=[ 5.39367249 34.92637122]]
        INFO - 08:56:02:      2%|▏         | 237/10000 [00:01<00:44, 217.25 it/sec, obj=[ 5.39367249 34.92637122]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.14401411292017569
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [1.21076233e-08 3.02691650e-09]
        INFO - 08:56:02:          wrapped_ineq1 = [-6.71571281]
        INFO - 08:56:02:          wrapped_ineq2 = [-47.65767262]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 0.8211024273304834 |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 0.8211022632757734 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1440141129201757 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.83673469 0.16326531]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 0.8211024273304834 |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 0.8211022632757734 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1440141129201757 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 238/10000 [00:01<00:45, 214.66 it/sec, obj=[ 5.39367249 34.92637122]]
        INFO - 08:56:02:      2%|▏         | 239/10000 [00:01<00:45, 215.21 it/sec, obj=[ 4.76843256 35.75120053]]
        INFO - 08:56:02:      2%|▏         | 240/10000 [00:01<00:45, 215.80 it/sec, obj=[ 4.28843115 36.42896749]]
        INFO - 08:56:02:      2%|▏         | 241/10000 [00:01<00:45, 216.34 it/sec, obj=[ 4.28780567 36.42987905]]
        INFO - 08:56:02:      2%|▏         | 242/10000 [00:01<00:44, 216.91 it/sec, obj=[ 4.28780567 36.42987905]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.1317373234485701
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [2.28092674e-08 5.70231240e-09]
        INFO - 08:56:02:          wrapped_ineq1 = [-6.05295749]
        INFO - 08:56:02:          wrapped_ineq2 = [-48.85442041]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 0.7321036845077268 |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 0.7321035526101565 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1317373234485701 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.85714286 0.14285714]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 0.7321036845077268 |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 0.7321035526101565 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1317373234485701 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 243/10000 [00:01<00:45, 214.39 it/sec, obj=[ 4.28780567 36.42987905]]
        INFO - 08:56:02:      2%|▏         | 244/10000 [00:01<00:45, 214.97 it/sec, obj=[ 3.79029979 37.18113061]]
        INFO - 08:56:02:      2%|▏         | 245/10000 [00:01<00:45, 215.55 it/sec, obj=[ 3.30389454 37.97316355]]
        INFO - 08:56:02:      2%|▏         | 246/10000 [00:01<00:45, 216.08 it/sec, obj=[ 3.30317013 37.97439157]]
        INFO - 08:56:02:      2%|▏         | 247/10000 [00:01<00:45, 216.64 it/sec, obj=[ 3.30317013 37.97439158]]
        INFO - 08:56:02:      2%|▏         | 248/10000 [00:01<00:44, 217.19 it/sec, obj=[ 3.30317013 37.97439158]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.11856912747414766
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [3.97126421e-08 9.92816052e-09]
        INFO - 08:56:02:          wrapped_ineq1 = [-5.37023467]
        INFO - 08:56:02:          wrapped_ineq2 = [-50.07434472]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 0.6425701003209856 |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 0.642569995505141  |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1185691274741477 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.87755102 0.12244898]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 0.6425701003209856 |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 0.642569995505141  |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1185691274741477 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      2%|▏         | 249/10000 [00:01<00:45, 214.74 it/sec, obj=[ 3.30317013 37.97439158]]
        INFO - 08:56:02:      2%|▎         | 250/10000 [00:01<00:45, 215.28 it/sec, obj=[ 2.91959416 38.64769229]]
        INFO - 08:56:02:      3%|▎         | 251/10000 [00:01<00:45, 215.84 it/sec, obj=[ 2.44277552 39.55905254]]
        INFO - 08:56:02:      3%|▎         | 252/10000 [00:01<00:45, 216.38 it/sec, obj=[ 2.44197816 39.56065707]]
        INFO - 08:56:02:      3%|▎         | 253/10000 [00:01<00:44, 216.91 it/sec, obj=[ 2.44197816 39.56065708]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 8
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.10449325829893727
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [6.50789662e-08 1.62697384e-08]
        INFO - 08:56:02:          wrapped_ineq1 = [-4.66718]
        INFO - 08:56:02:          wrapped_ineq2 = [-51.31786852]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 0.5524919144152846 |      5      | float |
        INFO - 08:56:02:          | y    |      0      | 0.5524918322781416 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.1044932582989373 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.89795918 0.10204082]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |       Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      | 0.5524919144152846 |      5      | float |
        INFO - 08:56:02:       | y    |      0      | 0.5524918322781416 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.1044932582989373 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+--------------------+-------------+-------+
        INFO - 08:56:02:      3%|▎         | 254/10000 [00:01<00:45, 214.54 it/sec, obj=[ 2.44197816 39.56065708]]
        INFO - 08:56:02:      3%|▎         | 255/10000 [00:01<00:45, 215.08 it/sec, obj=[ 2.15820259 40.1515706 ]]
        INFO - 08:56:02:      3%|▎         | 256/10000 [00:01<00:45, 215.64 it/sec, obj=[ 1.70734322 41.18740071]]
        INFO - 08:56:02:      3%|▎         | 257/10000 [00:01<00:45, 216.16 it/sec, obj=[ 1.70651014 41.18944685]]
       ERROR - 08:56:02: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    Traceback (most recent call last):
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
        nlopt_problem.optimize(x_0.real)
      File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/develop/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
        return _nlopt.opt_optimize(self, *args)
    nlopt.RoundoffLimited: NLopt roundoff-limited
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message:  GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 6
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.08949294839143944
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [1.01646732e-07 2.54116737e-08]
        INFO - 08:56:02:          wrapped_ineq1 = [-3.94341786]
        INFO - 08:56:02:          wrapped_ineq2 = [-52.58542774]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      |  0.4618590659845447 |      5      | float |
        INFO - 08:56:02:          | y    |      0      |  0.4618590026974367 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.08949294839143944 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.91836735 0.08163265]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      |  0.4618590659845447 |      5      | float |
        INFO - 08:56:02:       | y    |      0      |  0.4618590026974367 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.08949294839143944 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:      3%|▎         | 258/10000 [00:01<00:45, 213.44 it/sec, obj=[ 1.70651014 41.18944686]]
        INFO - 08:56:02:      3%|▎         | 259/10000 [00:01<00:45, 213.97 it/sec, obj=[ 1.5080792  41.69347445]]
        INFO - 08:56:02:      3%|▎         | 260/10000 [00:01<00:45, 214.52 it/sec, obj=[ 1.09993702 42.85899808]]
        INFO - 08:56:02:      3%|▎         | 261/10000 [00:01<00:45, 215.00 it/sec, obj=[ 1.09911755 42.86155625]]
        INFO - 08:56:02:      3%|▎         | 262/10000 [00:01<00:45, 215.53 it/sec, obj=[ 1.09911754 42.86155626]]
        INFO - 08:56:02:      3%|▎         | 263/10000 [00:01<00:45, 216.03 it/sec, obj=[ 1.09911754 42.86155626]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.07355090752908491
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [1.52688260e-07 3.81720415e-08]
        INFO - 08:56:02:          wrapped_ineq1 = [-3.19856096]
        INFO - 08:56:02:          wrapped_ineq2 = [-53.87747195]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      |  0.3706611806565783 |      5      | float |
        INFO - 08:56:02:          | y    |      0      |  0.3706611328681297 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.07355090752908491 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.93877551 0.06122449]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      |  0.3706611806565783 |      5      | float |
        INFO - 08:56:02:       | y    |      0      |  0.3706611328681297 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.07355090752908491 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:      3%|▎         | 264/10000 [00:01<00:45, 213.70 it/sec, obj=[ 1.09911754 42.86155626]]
        INFO - 08:56:02:      3%|▎         | 265/10000 [00:01<00:45, 214.22 it/sec, obj=[ 0.97124847 43.27413768]]
        INFO - 08:56:02:      3%|▎         | 266/10000 [00:01<00:45, 214.75 it/sec, obj=[ 0.74056036 44.10007492]]
        INFO - 08:56:02:      3%|▎         | 267/10000 [00:01<00:45, 215.28 it/sec, obj=[ 0.62232528 44.57738593]]
        INFO - 08:56:02:      3%|▎         | 268/10000 [00:01<00:45, 215.76 it/sec, obj=[ 0.62222607 44.57780576]]
        INFO - 08:56:02:      3%|▎         | 269/10000 [00:01<00:44, 216.27 it/sec, obj=[ 0.62222607 44.57780576]]
        INFO - 08:56:02:      3%|▎         | 270/10000 [00:01<00:44, 216.77 it/sec, obj=[ 0.62222607 44.57780576]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 10
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.05664929812588902
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [3.95382482e-09 9.88454651e-10]
        INFO - 08:56:02:          wrapped_ineq1 = [-2.43220975]
        INFO - 08:56:02:          wrapped_ineq2 = [-55.19446492]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      |  0.2788875540747672 |      5      | float |
        INFO - 08:56:02:          | y    |      0      |  0.2788875220436548 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.05664929812588902 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.95918367 0.04081633]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      |  0.2788875540747672 |      5      | float |
        INFO - 08:56:02:       | y    |      0      |  0.2788875220436548 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.05664929812588902 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:      3%|▎         | 271/10000 [00:01<00:45, 214.47 it/sec, obj=[ 0.62222607 44.57780576]]
        INFO - 08:56:02:      3%|▎         | 272/10000 [00:01<00:45, 214.98 it/sec, obj=[ 0.54980864 44.89432025]]
        INFO - 08:56:02:      3%|▎         | 273/10000 [00:01<00:45, 215.50 it/sec, obj=[ 0.44281765 45.40529451]]
        INFO - 08:56:02:      3%|▎         | 274/10000 [00:01<00:45, 216.02 it/sec, obj=[ 0.27858521 46.33745386]]
        INFO - 08:56:02:      3%|▎         | 275/10000 [00:01<00:44, 216.49 it/sec, obj=[ 0.27833898 46.33904202]]
        INFO - 08:56:02:      3%|▎         | 276/10000 [00:01<00:44, 216.99 it/sec, obj=[ 0.27833898 46.33904203]]
        INFO - 08:56:02:      3%|▎         | 277/10000 [00:01<00:44, 217.48 it/sec, obj=[ 0.27833898 46.33904203]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 10
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.038769716781677045
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [5.44311050e-08 1.36077807e-08]
        INFO - 08:56:02:          wrapped_ineq1 = [-1.64395196]
        INFO - 08:56:02:          wrapped_ineq2 = [-56.53688517]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      |  0.1865271458408471 |      5      | float |
        INFO - 08:56:02:          | y    |      0      |  0.1865271265420713 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.03876971678167705 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02: Solving mNBI sub-problem for beta = [0.97959184 0.02040816]
        INFO - 08:56:02: Optimization problem:
        INFO - 08:56:02:    minimize -t_extraction
        INFO - 08:56:02:    with respect to t, x, y
        INFO - 08:56:02:    subject to constraints:
        INFO - 08:56:02:       wrapped_ineq1 <= 0.0
        INFO - 08:56:02:       wrapped_ineq2 <= 0.0
        INFO - 08:56:02:       beta_sub_optim_constraint <= 0.0
        INFO - 08:56:02:    over the design space:
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:       | x    |      0      |  0.1865271458408471 |      5      | float |
        INFO - 08:56:02:       | y    |      0      |  0.1865271265420713 |      3      | float |
        INFO - 08:56:02:       | t    |     -inf    | 0.03876971678167705 |     inf     | float |
        INFO - 08:56:02:       +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:      3%|▎         | 278/10000 [00:01<00:45, 215.28 it/sec, obj=[ 0.27833898 46.33904203]]
        INFO - 08:56:02:      3%|▎         | 279/10000 [00:01<00:45, 215.78 it/sec, obj=[ 0.24593532 46.55480934]]
        INFO - 08:56:02:      3%|▎         | 280/10000 [00:01<00:44, 216.29 it/sec, obj=[ 0.20794898 46.82747967]]
        INFO - 08:56:02:      3%|▎         | 281/10000 [00:01<00:44, 216.79 it/sec, obj=[ 0.07420143 48.09239571]]
        INFO - 08:56:02:      3%|▎         | 282/10000 [00:01<00:44, 217.26 it/sec, obj=[ 0.07004098 48.14613402]]
        INFO - 08:56:02:      3%|▎         | 283/10000 [00:01<00:44, 217.74 it/sec, obj=[ 0.07004059 48.14613918]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 9
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: -0.019893597336510367
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          beta_sub_optim_constraint = [6.00135128e-05 1.50033782e-05]
        INFO - 08:56:02:          wrapped_ineq1 = [-0.83336423]
        INFO - 08:56:02:          wrapped_ineq2 = [-57.90522287]
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | Name | Lower bound |        Value        | Upper bound | Type  |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:          | x    |      0      | 0.09356881602078253 |      5      | float |
        INFO - 08:56:02:          | y    |      0      |  0.0935688069054857 |      3      | float |
        INFO - 08:56:02:          | t    |     -inf    | 0.01989359733651037 |     inf     | float |
        INFO - 08:56:02:          +------+-------------+---------------------+-------------+-------+
        INFO - 08:56:02:      3%|▎         | 284/10000 [00:01<00:45, 211.61 it/sec, obj=[ 0.07004059 48.14613918]]
        INFO - 08:56:02: Optimization result:
        INFO - 08:56:02:    Optimizer info:
        INFO - 08:56:02:       Status: None
        INFO - 08:56:02:       Message: None
        INFO - 08:56:02:       Number of calls to the objective function by the optimizer: 431
        INFO - 08:56:02:    Solution:
        INFO - 08:56:02:       The solution is feasible.
        INFO - 08:56:02:       Objective: 30.28780069872395
        INFO - 08:56:02:       Standardized constraints:
        INFO - 08:56:02:          ineq1 = [-10.82436312]
        INFO - 08:56:02:          ineq2 = [-39.89635695]
        INFO - 08:56:02:    Pareto efficient solutions:
        INFO - 08:56:02:       Pareto optimal points : 205 / 284
        INFO - 08:56:02:       Utopia point : [2.57749631e-28 4.00000000e+00]
        INFO - 08:56:02:       Compromise solution (closest to utopia) : [[14.47758697 26.71439073]]
        INFO - 08:56:02:       Distance from utopia : 26.93592528074487
        INFO - 08:56:02:       Objective values:
        INFO - 08:56:02:          +------+------------+-----+---------+
        INFO - 08:56:02:          | name |          1 |   2 |       3 |
        INFO - 08:56:02:          +------+------------+-----+---------+
        INFO - 08:56:02:          |    1 | 2.5775e-28 | 136 | 14.4776 |
        INFO - 08:56:02:          |    2 |         50 |   4 | 26.7144 |
        INFO - 08:56:02:          +------+------------+-----+---------+
        INFO - 08:56:02:       Constraint values:
        INFO - 08:56:02:          +------+-------------+------+----------+
        INFO - 08:56:02:          | name |           1 |    2 |        3 |
        INFO - 08:56:02:          +------+-------------+------+----------+
        INFO - 08:56:02:          |    1 | 7.10543e-15 |  -22 | -10.2976 |
        INFO - 08:56:02:          |    2 |       -59.3 | -7.3 | -40.9309 |
        INFO - 08:56:02:          +------+-------------+------+----------+
        INFO - 08:56:02:       Design space:
        INFO - 08:56:02:          +-------+-------------+-------------+---+---------+-------------+-------+
        INFO - 08:56:02:          |  name | lower_bound |           1 | 2 |       3 | upper_bound |  type |
        INFO - 08:56:02:          +-------+-------------+-------------+---+---------+-------------+-------+
        INFO - 08:56:02:          | x (1) |           0 |           0 | 5 | 1.34525 |           5 | float |
        INFO - 08:56:02:          | y (1) |           0 | 8.02729e-15 | 3 | 1.34525 |           3 | float |
        INFO - 08:56:02:          +-------+-------------+-------------+---+---------+-------------+-------+




.. GENERATED FROM PYTHON SOURCE LINES 71-74

Display the Pareto front
------------------------
|g| detects the Pareto optimal points and the dominated ones.

.. GENERATED FROM PYTHON SOURCE LINES 74-75

.. code-block:: Python

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



.. image-sg:: /examples/multi_objective/images/sphx_glr_plot_mnbi_binh_korn_001.png
   :alt: Pareto front
   :srcset: /examples/multi_objective/images/sphx_glr_plot_mnbi_binh_korn_001.png
   :class: sphx-glr-single-img


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

 .. code-block:: none


    <gemseo.post.pareto_front.ParetoFront object at 0x7f1db8c6d5e0>




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

   **Total running time of the script:** (0 minutes 1.606 seconds)


.. _sphx_glr_download_examples_multi_objective_plot_mnbi_binh_korn.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_binh_korn.ipynb <plot_mnbi_binh_korn.ipynb>`

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

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


.. only:: html

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

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