Multi-objective Binh-Korn example with the mNBI algorithm

In this example, the modified Normal Boundary Intersection (mNBI) algorithm is used to solve the BinhKorn problem [BK97]:

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

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.

problem = BinhKorn()

result = execute_algo(
    problem,
    "MNBI",
    max_iter=10000,
    sub_optim_max_iter=200,
    n_sub_optim=50,
    sub_optim_algo="NLOPT_SLSQP",
)
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize compute_binhkorn(x, y) = (4*x**2+ 4*y**2, (x-5.)**2 + (y-5.)**2)
    INFO - 01:01:43:    with respect to x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0
    INFO - 01:01:43:       ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound | Value | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |   1   |      5      | float |
    INFO - 01:01:43:       | y    |      0      |   1   |      3      | float |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43: Solving optimization problem with algorithm MNBI:
    INFO - 01:01:43: Searching for the individual optimum of each objective
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize f_0
    INFO - 01:01:43:    with respect to x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0
    INFO - 01:01:43:       ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound | Value | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |   1   |      5      | float |
    INFO - 01:01:43:       | y    |      0      |   1   |      3      | float |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 5
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: 2.577496310600783e-28
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          ineq1 = [7.10542736e-15]
    INFO - 01:01:43:          ineq2 = [-59.3]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+-----------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |         Value         | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+-----------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      |           0           |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 8.027291433915899e-15 |      3      | float |
    INFO - 01:01:43:          +------+-------------+-----------------------+-------------+-------+
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize f_1
    INFO - 01:01:43:    with respect to x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0
    INFO - 01:01:43:       ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound | Value | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |   1   |      5      | float |
    INFO - 01:01:43:       | y    |      0      |   1   |      3      | float |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
   ERROR - 01:01:43: 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 - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 100
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: 4.0
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          ineq1 = [-22.]
    INFO - 01:01:43:          ineq2 = [-7.3]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value       | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 4.999999999999999 |      5      | float |
    INFO - 01:01:43:          | y    |      0      |         3         |      3      | float |
    INFO - 01:01:43:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [133.2244898    4.93877551]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound | Value | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |   1   |      5      | float |
    INFO - 01:01:43:       | y    |      0      |   1   |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    |   0   |     inf     | float |
    INFO - 01:01:43:       +------+-------------+-------+-------------+-------+
   ERROR - 01:01:43: 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 - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 12
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.019986438077608543
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [4.55071536e-11 1.28416167e-11]
    INFO - 01:01:43:          wrapped_ineq1 = [-21.98060064]
    INFO - 01:01:43:          wrapped_ineq2 = [-8.15508884]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      |  4.860718419570534  |      5      | float |
    INFO - 01:01:43:          | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.01998643807760854 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [130.44897959   5.87755102]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |  4.860718419570534  |      5      | float |
    INFO - 01:01:43:       | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.01998643807760854 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 6
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.039116963260157823
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [3.98110345e-09 9.95290073e-10]
    INFO - 01:01:43:          wrapped_ineq1 = [-21.92182929]
    INFO - 01:01:43:          wrapped_ineq2 = [-9.05571225]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      |   4.72040974366729  |      5      | float |
    INFO - 01:01:43:          | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.03911696326015782 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [127.67346939   6.81632653]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |   4.72040974366729  |      5      | float |
    INFO - 01:01:43:       | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.03911696326015782 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 6
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.05737235642328731
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [7.14383042e-09 1.78594872e-09]
    INFO - 01:01:43:          wrapped_ineq1 = [-21.82280186]
    INFO - 01:01:43:          wrapped_ineq2 = [-10.00289268]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      |  4.579050909340598  |      5      | float |
    INFO - 01:01:43:          | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.05737235642328731 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [124.89795918   7.75510204]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |  4.579050909340598  |      5      | float |
    INFO - 01:01:43:       | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.05737235642328731 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 6
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.07473266827131965
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [1.20517250e-08 3.01292014e-09]
    INFO - 01:01:43:          wrapped_ineq1 = [-21.6826007]
    INFO - 01:01:43:          wrapped_ineq2 = [-10.99769144]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      |  4.436617977435788  |      5      | float |
    INFO - 01:01:43:          | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.07473266827131965 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [122.12244898   8.69387755]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |  4.436617977435788  |      5      | float |
    INFO - 01:01:43:       | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.07473266827131965 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 6
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.09117717984627852
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [1.93664267e-08 4.84161777e-09]
    INFO - 01:01:43:          wrapped_ineq1 = [-21.50027272]
    INFO - 01:01:43:          wrapped_ineq2 = [-12.04121077]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      |  4.293086085203288  |      5      | float |
    INFO - 01:01:43:          | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.09117717984627852 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [119.34693878   9.63265306]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |  4.293086085203288  |      5      | float |
    INFO - 01:01:43:       | y    |      0      |          3          |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.09117717984627852 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+---------------------+-------------+-------+
   ERROR - 01:01:43: 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 - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 7
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.10668436014525945
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [3.51096929e-11 8.78408457e-12]
    INFO - 01:01:43:          wrapped_ineq1 = [-21.27482751]
    INFO - 01:01:43:          wrapped_ineq2 = [-13.13459612]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 4.148429395439616  |      5      | float |
    INFO - 01:01:43:          | y    |      0      |         3          |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1066843601452594 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [116.57142857  10.57142857]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 4.148429395439616  |      5      | float |
    INFO - 01:01:43:       | y    |      0      |         3          |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1066843601452594 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 7
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.12123182146850985
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [7.14649673e-10 1.78657089e-10]
    INFO - 01:01:43:          wrapped_ineq1 = [-21.00523522]
    INFO - 01:01:43:          wrapped_ineq2 = [-14.27903853]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      |  4.00262104290507  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1212318214685098 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [113.79591837  11.51020408]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      |  4.00262104290507  |      5      | float |
    INFO - 01:01:43:       | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1212318214685098 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 7
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.13479627008369346
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [3.89851706e-09 9.74638148e-10]
    INFO - 01:01:43:          wrapped_ineq1 = [-20.69042434]
    INFO - 01:01:43:          wrapped_ineq2 = [-15.47577721]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 3.855633075120841  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1347962700836935 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [111.02040816  12.44897959]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 3.855633075120841  |      5      | float |
    INFO - 01:01:43:       | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1347962700836935 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:      1%|          | 51/10000 [00:00<00:51, 191.68 it/sec, obj=[91.13311604  5.72210115]]
    INFO - 01:01:43:      1%|          | 52/10000 [00:00<00:51, 193.95 it/sec, obj=[90.98201571  5.67057449]]
    INFO - 01:01:43:      1%|          | 53/10000 [00:00<00:50, 196.05 it/sec, obj=[90.98033835  5.67072068]]
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 7
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.14735345456781318
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [1.27930946e-08 3.19828164e-09]
    INFO - 01:01:43:          wrapped_ineq1 = [-20.32927932]
    INFO - 01:01:43:          wrapped_ineq2 = [-16.72610234]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 3.707436390379335  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1473534545678132 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [108.24489796  13.3877551 ]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 3.707436390379335  |      5      | float |
    INFO - 01:01:43:       | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1473534545678132 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:      1%|          | 54/10000 [00:00<00:53, 187.16 it/sec, obj=[90.98033835  5.67072069]]
    INFO - 01:01:43:      1%|          | 55/10000 [00:00<00:52, 189.26 it/sec, obj=[86.87227776  6.15451932]]
    INFO - 01:01:43:      1%|          | 56/10000 [00:00<00:51, 191.37 it/sec, obj=[86.79273879  6.13168151]]
    INFO - 01:01:43:      1%|          | 57/10000 [00:00<00:51, 193.42 it/sec, obj=[86.64002261  6.07910396]]
    INFO - 01:01:43:      1%|          | 58/10000 [00:00<00:50, 195.35 it/sec, obj=[86.63747508  6.07936207]]
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 7
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.1588781096372043
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [3.20401661e-08 8.01002464e-09]
    INFO - 01:01:43:          wrapped_ineq1 = [-19.92063793]
    INFO - 01:01:43:          wrapped_ineq2 = [-18.03135804]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 3.558000670340158  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1588781096372043 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [105.46938776  14.32653061]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 3.558000670340158  |      5      | float |
    INFO - 01:01:43:       | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1588781096372043 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:      1%|          | 59/10000 [00:00<00:53, 187.25 it/sec, obj=[86.63747507  6.07936207]]
    INFO - 01:01:43:      1%|          | 60/10000 [00:00<00:52, 189.16 it/sec, obj=[82.63360778  6.59843971]]
    INFO - 01:01:43:      1%|          | 61/10000 [00:00<00:52, 191.05 it/sec, obj=[82.58117253  6.58480869]]
    INFO - 01:01:43:      1%|          | 62/10000 [00:00<00:51, 192.88 it/sec, obj=[82.44216977  6.53629639]]
    INFO - 01:01:43:      1%|          | 63/10000 [00:00<00:51, 194.64 it/sec, obj=[82.43861799  6.53671142]]
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 7
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.16934389579669745
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [6.79102712e-08 1.69775749e-08]
    INFO - 01:01:43:          wrapped_ineq1 = [-19.46328858]
    INFO - 01:01:43:          wrapped_ineq2 = [-19.39294558]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 3.407294307609098  |      5      | float |
    INFO - 01:01:43:          | y    |      0      |         3          |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1693438957966975 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [102.69387755  15.26530612]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 3.407294307609098  |      5      | float |
    INFO - 01:01:43:       | y    |      0      |         3          |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1693438957966975 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:      1%|          | 64/10000 [00:00<00:53, 187.19 it/sec, obj=[82.43861798  6.53671142]]
    INFO - 01:01:43:      1%|          | 65/10000 [00:00<00:52, 188.96 it/sec, obj=[78.53361942  7.08925061]]
    INFO - 01:01:43:      1%|          | 66/10000 [00:00<00:52, 190.66 it/sec, obj=[78.50182599  7.08263752]]
    INFO - 01:01:43:      1%|          | 67/10000 [00:00<00:51, 192.39 it/sec, obj=[78.41003382  7.05023994]]
    INFO - 01:01:43:      1%|          | 68/10000 [00:00<00:51, 194.06 it/sec, obj=[78.38769295  7.04400749]]
    INFO - 01:01:43:      1%|          | 69/10000 [00:00<00:50, 195.60 it/sec, obj=[78.38750419  7.04403278]]
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.17872333352271239
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [2.10178541e-10 5.25481880e-11]
    INFO - 01:01:43:          wrapped_ineq1 = [-18.95596722]
    INFO - 01:01:43:          wrapped_ineq2 = [-20.81232682]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 3.255284326757868  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1787233335227124 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [99.91836735 16.20408163]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 3.255284326757868  |      5      | float |
    INFO - 01:01:43:       | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1787233335227124 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:      1%|          | 70/10000 [00:00<00:52, 188.58 it/sec, obj=[78.38750419  7.04403278]]
    INFO - 01:01:43:      1%|          | 71/10000 [00:00<00:52, 190.09 it/sec, obj=[74.5757022   7.62809747]]
    INFO - 01:01:43:      1%|          | 72/10000 [00:00<00:51, 191.66 it/sec, obj=[74.55815323  7.62633759]]
    INFO - 01:01:43:      1%|          | 73/10000 [00:00<00:51, 193.18 it/sec, obj=[74.52212525  7.613629  ]]
    INFO - 01:01:43:      1%|          | 74/10000 [00:00<00:51, 194.48 it/sec, obj=[74.48992139  7.60235729]]
    INFO - 01:01:43:      1%|          | 75/10000 [00:00<00:50, 195.88 it/sec, obj=[74.48803532  7.6026458 ]]
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.18698773568316415
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [2.31057591e-08 5.77643711e-09]
    INFO - 01:01:43:          wrapped_ineq1 = [-18.3973542]
    INFO - 01:01:43:          wrapped_ineq2 = [-22.29102798]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 3.101936303227963  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1869877356831642 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [97.14285714 17.14285714]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 3.101936303227963  |      5      | float |
    INFO - 01:01:43:       | y    |      0      | 2.999999999999999  |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1869877356831642 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:      1%|          | 76/10000 [00:00<00:52, 188.87 it/sec, obj=[74.48803531  7.6026458 ]]
    INFO - 01:01:43:      1%|          | 77/10000 [00:00<00:52, 190.33 it/sec, obj=[70.76339035  8.21617467]]
    INFO - 01:01:43:      1%|          | 78/10000 [00:00<00:51, 191.62 it/sec, obj=[70.75364182  8.2170892 ]]
    INFO - 01:01:43:      1%|          | 79/10000 [00:00<00:51, 192.85 it/sec, obj=[70.74802175  8.21511043]]
    INFO - 01:01:43:      1%|          | 80/10000 [00:00<00:51, 194.23 it/sec, obj=[70.74140345  8.21207811]]
    INFO - 01:01:43:      1%|          | 81/10000 [00:00<00:50, 195.46 it/sec, obj=[70.73968188  8.21237139]]
    INFO - 01:01:43:      1%|          | 82/10000 [00:00<00:50, 196.76 it/sec, obj=[70.73968188  8.21237139]]
    INFO - 01:01:43:      1%|          | 83/10000 [00:00<00:50, 198.03 it/sec, obj=[70.73968188  8.21237139]]
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 11
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.19414099479150054
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [3.11356345e-08 7.78391573e-09]
    INFO - 01:01:43:          wrapped_ineq1 = [-17.92019865]
    INFO - 01:01:43:          wrapped_ineq2 = [-23.53802261]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 2.973629789913416  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.973625118122099  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.1941409947915005 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [94.36734694 18.08163265]
    INFO - 01:01:43: Optimization problem:
    INFO - 01:01:43:    minimize -t_extraction
    INFO - 01:01:43:    with respect to t, x, y
    INFO - 01:01:43:    subject to constraints:
    INFO - 01:01:43:       wrapped_ineq1 <= 0.0
    INFO - 01:01:43:       wrapped_ineq2 <= 0.0
    INFO - 01:01:43:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:43:    over the design space:
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:       | x    |      0      | 2.973629789913416  |      5      | float |
    INFO - 01:01:43:       | y    |      0      | 2.973625118122099  |      3      | float |
    INFO - 01:01:43:       | t    |     -inf    | 0.1941409947915005 |     inf     | float |
    INFO - 01:01:43:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:      1%|          | 84/10000 [00:00<00:51, 191.26 it/sec, obj=[70.73968188  8.21237139]]
    INFO - 01:01:43:      1%|          | 85/10000 [00:00<00:51, 192.49 it/sec, obj=[67.09621873  8.85332492]]
    INFO - 01:01:43:      1%|          | 86/10000 [00:00<00:51, 193.64 it/sec, obj=[67.08804434  8.85480969]]
    INFO - 01:01:43:      1%|          | 87/10000 [00:00<00:50, 194.75 it/sec, obj=[67.0880443  8.8548097]]
    INFO - 01:01:43:      1%|          | 88/10000 [00:00<00:50, 195.88 it/sec, obj=[67.0880443  8.8548097]]
    INFO - 01:01:43:      1%|          | 89/10000 [00:00<00:50, 197.05 it/sec, obj=[67.0880443  8.8548097]]
    INFO - 01:01:43: Optimization result:
    INFO - 01:01:43:    Optimizer info:
    INFO - 01:01:43:       Status: None
    INFO - 01:01:43:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:43:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:43:    Solution:
    INFO - 01:01:43:       The solution is feasible.
    INFO - 01:01:43:       Objective: -0.20058310916839558
    INFO - 01:01:43:       Standardized constraints:
    INFO - 01:01:43:          beta_sub_optim_constraint = [2.48988449e-07 6.22471390e-08]
    INFO - 01:01:43:          wrapped_ineq1 = [-17.67674604]
    INFO - 01:01:43:          wrapped_ineq2 = [-24.24808091]
    INFO - 01:01:43:       Design space:
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43:          | x    |      0      | 2.895862173797936  |      5      | float |
    INFO - 01:01:43:          | y    |      0      | 2.895857965367402  |      3      | float |
    INFO - 01:01:43:          | t    |     -inf    | 0.2005831091683956 |     inf     | float |
    INFO - 01:01:43:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:43: Solving mNBI sub-problem for phi_beta = [91.59183673 19.02040816]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.895862173797936  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.895857965367402  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2005831091683956 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|          | 90/10000 [00:00<00:51, 191.33 it/sec, obj=[67.0880443  8.8548097]]
    INFO - 01:01:44:      1%|          | 91/10000 [00:00<00:51, 192.50 it/sec, obj=[63.52518031  9.52298588]]
    INFO - 01:01:44:      1%|          | 92/10000 [00:00<00:51, 193.53 it/sec, obj=[63.51711685  9.524547  ]]
    INFO - 01:01:44:      1%|          | 93/10000 [00:00<00:50, 194.59 it/sec, obj=[63.51711681  9.52454701]]
    INFO - 01:01:44:      1%|          | 94/10000 [00:00<00:50, 195.67 it/sec, obj=[63.51711681  9.52454701]]
    INFO - 01:01:44:      1%|          | 95/10000 [00:00<00:50, 196.66 it/sec, obj=[63.51711681  9.52454701]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.20643176575416938
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.55896794e-07 6.39742002e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-17.42000005]
    INFO - 01:01:44:          wrapped_ineq2 = [-24.97356892]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.817738504953261  |      5      | float |
    INFO - 01:01:44:          | y    |      0      |  2.81773471599256  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2064317657541694 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [88.81632653 19.95918367]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.817738504953261  |      5      | float |
    INFO - 01:01:44:       | y    |      0      |  2.81773471599256  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2064317657541694 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|          | 96/10000 [00:00<00:51, 191.27 it/sec, obj=[63.51711681  9.52454701]]
    INFO - 01:01:44:      1%|          | 97/10000 [00:00<00:51, 192.31 it/sec, obj=[60.03596622 10.22032201]]
    INFO - 01:01:44:      1%|          | 98/10000 [00:00<00:51, 193.28 it/sec, obj=[60.02801834 10.22196176]]
    INFO - 01:01:44:      1%|          | 99/10000 [00:00<00:50, 194.26 it/sec, obj=[60.0280183  10.22196177]]
    INFO - 01:01:44:      1%|          | 100/10000 [00:00<00:50, 195.25 it/sec, obj=[60.0280183  10.22196177]]
    INFO - 01:01:44:      1%|          | 101/10000 [00:00<00:50, 196.19 it/sec, obj=[60.0280183  10.22196177]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.2116787386187538
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.63062965e-07 6.57657448e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-17.14977639]
    INFO - 01:01:44:          wrapped_ineq2 = [-25.71470053]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.739253845837193  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.739250436423679  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2116787386187538 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [86.04081633 20.89795918]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.739253845837193  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.739250436423679  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2116787386187538 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|          | 102/10000 [00:00<00:51, 191.06 it/sec, obj=[60.0280183  10.22196177]]
    INFO - 01:01:44:      1%|          | 103/10000 [00:00<00:51, 192.02 it/sec, obj=[56.62972127 10.94572048]]
    INFO - 01:01:44:      1%|          | 104/10000 [00:00<00:51, 192.92 it/sec, obj=[56.62189382 10.94744125]]
    INFO - 01:01:44:      1%|          | 105/10000 [00:00<00:51, 193.82 it/sec, obj=[56.62189377 10.94744126]]
    INFO - 01:01:44:      1%|          | 106/10000 [00:00<00:50, 194.74 it/sec, obj=[56.62189377 10.94744126]]
    INFO - 01:01:44:      1%|          | 107/10000 [00:00<00:50, 195.62 it/sec, obj=[56.62189377 10.94744126]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.21631560868059505
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.70499392e-07 6.76248444e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-16.86588647]
    INFO - 01:01:44:          wrapped_ineq2 = [-26.47169467]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value       | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.660403143187807 |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.660400077024827 |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.216315608680595 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [83.26530612 21.83673469]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value       | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.660403143187807 |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.660400077024827 |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.216315608680595 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:      1%|          | 108/10000 [00:00<00:51, 190.95 it/sec, obj=[56.62189377 10.94744126]]
    INFO - 01:01:44:      1%|          | 109/10000 [00:00<00:51, 191.87 it/sec, obj=[53.3076172  11.69957762]]
    INFO - 01:01:44:      1%|          | 110/10000 [00:00<00:51, 192.66 it/sec, obj=[53.29991522 11.70138186]]
    INFO - 01:01:44:      1%|          | 111/10000 [00:00<00:51, 193.50 it/sec, obj=[53.29991518 11.70138187]]
    INFO - 01:01:44:      1%|          | 112/10000 [00:00<00:50, 194.28 it/sec, obj=[53.29991518 11.70138187]]
    INFO - 01:01:44:      1%|          | 113/10000 [00:00<00:50, 195.10 it/sec, obj=[53.29991518 11.70138187]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.22033375866664898
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.78218707e-07 6.95546820e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-16.56813726]
    INFO - 01:01:44:          wrapped_ineq2 = [-27.24477539]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value       | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.581181224985352 |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.581178469088097 |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.220333758666649 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [80.48979592 22.7755102 ]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value       | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.581181224985352 |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.581178469088097 |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.220333758666649 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+-------------------+-------------+-------+
    INFO - 01:01:44:      1%|          | 114/10000 [00:00<00:51, 190.60 it/sec, obj=[53.29991518 11.70138187]]
    INFO - 01:01:44:      1%|          | 115/10000 [00:00<00:51, 191.42 it/sec, obj=[50.0708536  12.48229914]]
    INFO - 01:01:44:      1%|          | 116/10000 [00:00<00:51, 192.10 it/sec, obj=[50.06328236 12.48418942]]
    INFO - 01:01:44:      1%|          | 117/10000 [00:00<00:51, 192.86 it/sec, obj=[50.06328232 12.48418943]]
    INFO - 01:01:44:      1%|          | 118/10000 [00:00<00:51, 193.63 it/sec, obj=[50.06328232 12.48418943]]
    INFO - 01:01:44:      1%|          | 119/10000 [00:00<00:50, 194.41 it/sec, obj=[50.06328232 12.48418943]]
   ERROR - 01:01:44: 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 - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.22372436651841346
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.86234556e-07 7.15586328e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-16.25633116]
    INFO - 01:01:44:          wrapped_ineq2 = [-28.03417206]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.501582796482902  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.501580320890217  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2237243665184135 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [77.71428571 23.71428571]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.501582796482902  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.501580320890217  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2237243665184135 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|          | 120/10000 [00:00<00:51, 190.08 it/sec, obj=[50.06328232 12.48418943]]
    INFO - 01:01:44:      1%|          | 121/10000 [00:00<00:51, 190.84 it/sec, obj=[46.92065884 13.2943005 ]]
    INFO - 01:01:44:      1%|          | 122/10000 [00:00<00:51, 191.43 it/sec, obj=[46.91322381 13.29627946]]
    INFO - 01:01:44:      1%|          | 123/10000 [00:00<00:51, 192.17 it/sec, obj=[46.91322377 13.29627947]]
    INFO - 01:01:44:      1%|          | 124/10000 [00:00<00:51, 192.89 it/sec, obj=[46.91322377 13.29627947]]
    INFO - 01:01:44:      1%|▏         | 125/10000 [00:00<00:51, 193.52 it/sec, obj=[46.91322377 13.29627947]]
   ERROR - 01:01:44: 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 - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.22647839851317916
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.94561392e-07 7.36403436e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-15.93026579]
    INFO - 01:01:44:          wrapped_ineq2 = [-28.84011959]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.421602436067144  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.421600213577244  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2264783985131792 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [74.93877551 24.65306122]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.421602436067144  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.421600213577244  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2264783985131792 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|▏         | 126/10000 [00:00<00:52, 189.52 it/sec, obj=[46.91322377 13.29627947]]
    INFO - 01:01:44:      1%|▏         | 127/10000 [00:00<00:51, 190.24 it/sec, obj=[43.85829104 14.13600721]]
    INFO - 01:01:44:      1%|▏         | 128/10000 [00:00<00:51, 190.89 it/sec, obj=[43.85099793 14.1380776 ]]
    INFO - 01:01:44:      1%|▏         | 129/10000 [00:00<00:51, 191.56 it/sec, obj=[43.85099789 14.13807762]]
    INFO - 01:01:44:      1%|▏         | 130/10000 [00:00<00:51, 192.25 it/sec, obj=[43.85099789 14.13807762]]
    INFO - 01:01:44:      1%|▏         | 131/10000 [00:00<00:51, 192.90 it/sec, obj=[43.85099789 14.13807762]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.22858660208532175
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.03214339e-07 7.58035767e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-15.5897339]
    INFO - 01:01:44:          wrapped_ineq2 = [-29.66285855]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.341234590940154  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.341232596868358  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2285866020853217 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [72.16326531 25.59183673]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.341234590940154  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.341232596868358  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2285866020853217 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|▏         | 132/10000 [00:00<00:52, 188.98 it/sec, obj=[43.85099789 14.13807762]]
    INFO - 01:01:44:      1%|▏         | 133/10000 [00:00<00:52, 189.67 it/sec, obj=[40.88503908 15.00785519]]
    INFO - 01:01:44:      1%|▏         | 134/10000 [00:00<00:51, 190.22 it/sec, obj=[40.87789385 15.01001989]]
    INFO - 01:01:44:      1%|▏         | 135/10000 [00:00<00:51, 190.85 it/sec, obj=[40.8778938 15.0100199]]
    INFO - 01:01:44:      1%|▏         | 136/10000 [00:00<00:51, 191.48 it/sec, obj=[40.8778938 15.0100199]]
    INFO - 01:01:44:      1%|▏         | 137/10000 [00:00<00:51, 192.08 it/sec, obj=[40.8778938 15.0100199]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.2300394983315002
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.12209433e-07 7.80523699e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-15.23452317]
    INFO - 01:01:44:          wrapped_ineq2 = [-30.5026354]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.260473572612368  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.260471784569106  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2300394983315002 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [69.3877551  26.53061224]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.260473572612368  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.260471784569106  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2300394983315002 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|▏         | 138/10000 [00:00<00:52, 187.99 it/sec, obj=[40.8778938 15.0100199]]
    INFO - 01:01:44:      1%|▏         | 139/10000 [00:00<00:52, 188.64 it/sec, obj=[38.00222368 15.91029114]]
    INFO - 01:01:44:      1%|▏         | 140/10000 [00:00<00:52, 189.22 it/sec, obj=[37.99523253 15.91255311]]
    INFO - 01:01:44:      1%|▏         | 141/10000 [00:00<00:51, 189.82 it/sec, obj=[37.99523249 15.91255313]]
    INFO - 01:01:44:      1%|▏         | 142/10000 [00:00<00:51, 190.40 it/sec, obj=[37.99523249 15.91255313]]
    INFO - 01:01:44:      1%|▏         | 143/10000 [00:00<00:51, 191.02 it/sec, obj=[37.99523249 15.91255313]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.23082737418257268
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.21563956e-07 8.03909845e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-14.86441601]
    INFO - 01:01:44:          wrapped_ineq2 = [-31.35970267]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      |  2.17931355219642  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.179311949883894  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2308273741825727 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [66.6122449  27.46938776]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      |  2.17931355219642  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.179311949883894  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2308273741825727 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      1%|▏         | 144/10000 [00:00<00:52, 187.53 it/sec, obj=[37.99523249 15.91255313]]
    INFO - 01:01:44:      1%|▏         | 145/10000 [00:00<00:52, 188.13 it/sec, obj=[35.21119851 16.84377288]]
    INFO - 01:01:44:      1%|▏         | 146/10000 [00:00<00:52, 188.67 it/sec, obj=[35.20436793 16.84613522]]
    INFO - 01:01:44:      1%|▏         | 147/10000 [00:00<00:52, 189.23 it/sec, obj=[35.20436789 16.84613524]]
    INFO - 01:01:44:      1%|▏         | 148/10000 [00:00<00:51, 189.80 it/sec, obj=[35.20436789 16.84613524]]
    INFO - 01:01:44:      1%|▏         | 149/10000 [00:00<00:51, 190.36 it/sec, obj=[35.20436789 16.84613524]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.23094027422393923
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.31295993e-07 8.28240108e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-14.47918943]
    INFO - 01:01:44:          wrapped_ineq2 = [-32.23431923]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.097748555490748  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 2.097747120516756  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2309402742239392 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [63.83673469 28.40816327]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.097748555490748  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 2.097747120516756  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2309402742239392 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 150/10000 [00:00<00:52, 186.97 it/sec, obj=[35.20436789 16.84613524]]
    INFO - 01:01:44:      2%|▏         | 151/10000 [00:00<00:52, 187.56 it/sec, obj=[32.51335135 17.80876979]]
    INFO - 01:01:44:      2%|▏         | 152/10000 [00:00<00:52, 188.10 it/sec, obj=[32.5066881  17.81123571]]
    INFO - 01:01:44:      2%|▏         | 153/10000 [00:00<00:52, 188.64 it/sec, obj=[32.50668806 17.81123573]]
    INFO - 01:01:44:      2%|▏         | 154/10000 [00:00<00:52, 189.14 it/sec, obj=[32.50668806 17.81123573]]
    INFO - 01:01:44:      2%|▏         | 155/10000 [00:00<00:51, 189.65 it/sec, obj=[32.50668806 17.81123573]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.23036799214481465
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.41424769e-07 8.53562128e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-14.0786148]
    INFO - 01:01:44:          wrapped_ineq2 = [-33.12675045]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 2.015772457841285  |      5      | float |
    INFO - 01:01:44:          | y    |      0      |  2.01577117354882  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2303679921448147 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [61.06122449 29.34693878]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 2.015772457841285  |      5      | float |
    INFO - 01:01:44:       | y    |      0      |  2.01577117354882  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2303679921448147 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 156/10000 [00:00<00:52, 186.41 it/sec, obj=[32.50668806 17.81123573]]
    INFO - 01:01:44:      2%|▏         | 157/10000 [00:00<00:52, 186.95 it/sec, obj=[29.9101053  18.80576318]]
    INFO - 01:01:44:      2%|▏         | 158/10000 [00:00<00:52, 187.41 it/sec, obj=[29.90361644 18.80833602]]
    INFO - 01:01:44:      2%|▏         | 159/10000 [00:00<00:52, 187.90 it/sec, obj=[29.9036164  18.80833604]]
    INFO - 01:01:44:      2%|▏         | 160/10000 [00:00<00:52, 188.36 it/sec, obj=[29.9036164  18.80833604]]
    INFO - 01:01:44:      2%|▏         | 161/10000 [00:00<00:52, 188.87 it/sec, obj=[29.9036164  18.80833604]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.22910006179565373
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.51970648e-07 8.79926638e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-13.66245768]
    INFO - 01:01:44:          wrapped_ineq2 = [-34.03726845]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.933378978768651  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.933377830080014  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2291000617956537 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [58.28571429 30.28571429]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.933378978768651  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.933377830080014  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2291000617956537 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 162/10000 [00:00<00:52, 185.68 it/sec, obj=[29.9036164  18.80833604]]
    INFO - 01:01:44:      2%|▏         | 163/10000 [00:00<00:52, 186.18 it/sec, obj=[27.40292005 19.83524673]]
    INFO - 01:01:44:      2%|▏         | 164/10000 [00:00<00:52, 186.63 it/sec, obj=[27.39661294 19.83792998]]
    INFO - 01:01:44:      2%|▏         | 165/10000 [00:00<00:52, 187.09 it/sec, obj=[27.3966129  19.83792999]]
    INFO - 01:01:44:      2%|▏         | 166/10000 [00:00<00:52, 187.58 it/sec, obj=[27.3966129  19.83792999]]
    INFO - 01:01:44:      2%|▏         | 167/10000 [00:00<00:52, 188.04 it/sec, obj=[27.3966129  19.83792999]]
    INFO - 01:01:44:      2%|▏         | 168/10000 [00:00<00:52, 188.41 it/sec, obj=[27.3966129  19.83792999]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 10
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.2271257478315496
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.62955255e-07 9.07388049e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-13.2304776]
    INFO - 01:01:44:          wrapped_ineq2 = [-34.96615235]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.850561676347525  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.850560649621767  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2271257478315496 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [55.51020408 31.2244898 ]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.850561676347525  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.850560649621767  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2271257478315496 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 169/10000 [00:00<00:53, 185.41 it/sec, obj=[27.3966129  19.83792999]]
    INFO - 01:01:44:      2%|▏         | 170/10000 [00:00<00:52, 185.78 it/sec, obj=[24.99329321 20.89772698]]
    INFO - 01:01:44:      2%|▏         | 171/10000 [00:00<00:52, 186.22 it/sec, obj=[24.98717557 20.90052424]]
    INFO - 01:01:44:      2%|▏         | 172/10000 [00:00<00:52, 186.62 it/sec, obj=[24.98717553 20.90052426]]
    INFO - 01:01:44:      2%|▏         | 173/10000 [00:00<00:52, 186.98 it/sec, obj=[24.98717553 20.90052426]]
    INFO - 01:01:44:      2%|▏         | 174/10000 [00:00<00:52, 187.39 it/sec, obj=[24.98717553 20.90052426]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.22443403591793576
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.74401839e-07 9.36004643e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-12.78242782]
    INFO - 01:01:44:          wrapped_ineq2 = [-35.91368853]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.767313941323945  |      5      | float |
    INFO - 01:01:44:          | y    |      0      |  1.76731302422656  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2244340359179358 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [52.73469388 32.16326531]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.767313941323945  |      5      | float |
    INFO - 01:01:44:       | y    |      0      |  1.76731302422656  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2244340359179358 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 175/10000 [00:00<00:53, 184.45 it/sec, obj=[24.98717553 20.90052426]]
    INFO - 01:01:44:      2%|▏         | 176/10000 [00:00<00:53, 184.85 it/sec, obj=[22.68276174 21.99372372]]
    INFO - 01:01:44:      2%|▏         | 177/10000 [00:00<00:53, 185.26 it/sec, obj=[22.67684161 21.99663877]]
    INFO - 01:01:44:      2%|▏         | 178/10000 [00:00<00:52, 185.61 it/sec, obj=[22.67684157 21.99663879]]
    INFO - 01:01:44:      2%|▏         | 179/10000 [00:00<00:52, 186.03 it/sec, obj=[22.67684157 21.99663879]]
    INFO - 01:01:44:      2%|▏         | 180/10000 [00:00<00:52, 186.46 it/sec, obj=[22.67684157 21.99663879]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.2210136224732968
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.86334811e-07 9.65836904e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-12.31805516]
    INFO - 01:01:44:          wrapped_ineq2 = [-36.8801709]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.683628990955317  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.683628172339174  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2210136224732968 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [49.95918367 33.10204082]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.683628990955317  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.683628172339174  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2210136224732968 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 181/10000 [00:00<00:53, 183.68 it/sec, obj=[22.67684157 21.99663879]]
    INFO - 01:01:44:      2%|▏         | 182/10000 [00:00<00:53, 184.08 it/sec, obj=[20.47290335 23.12377058]]
    INFO - 01:01:44:      2%|▏         | 183/10000 [00:00<00:53, 184.46 it/sec, obj=[20.46718914 23.12680734]]
    INFO - 01:01:44:      2%|▏         | 184/10000 [00:00<00:53, 184.85 it/sec, obj=[20.4671891  23.12680736]]
    INFO - 01:01:44:      2%|▏         | 185/10000 [00:00<00:52, 185.20 it/sec, obj=[20.4671891  23.12680736]]
    INFO - 01:01:44:      2%|▏         | 186/10000 [00:01<00:52, 185.54 it/sec, obj=[20.4671891  23.12680736]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.21685290392186843
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.98780355e-07 9.96950877e-08]
    INFO - 01:01:44:          wrapped_ineq1 = [-11.83709968]
    INFO - 01:01:44:          wrapped_ineq2 = [-37.86590114]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.599499862556864  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.599499132353464  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2168529039218684 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [47.18367347 34.04081633]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.599499862556864  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.599499132353464  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2168529039218684 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 187/10000 [00:01<00:53, 182.76 it/sec, obj=[20.4671891  23.12680736]]
    INFO - 01:01:44:      2%|▏         | 188/10000 [00:01<00:53, 182.98 it/sec, obj=[18.36533807 24.28841546]]
    INFO - 01:01:44:      2%|▏         | 189/10000 [00:01<00:53, 183.31 it/sec, obj=[18.35983858 24.29157802]]
    INFO - 01:01:44:      2%|▏         | 190/10000 [00:01<00:53, 183.67 it/sec, obj=[18.35983854 24.29157804]]
    INFO - 01:01:44:      2%|▏         | 191/10000 [00:01<00:53, 183.99 it/sec, obj=[18.35983854 24.29157804]]
    INFO - 01:01:44:      2%|▏         | 192/10000 [00:01<00:53, 184.37 it/sec, obj=[18.35983854 24.29157804]]
    INFO - 01:01:44:      2%|▏         | 193/10000 [00:01<00:53, 184.71 it/sec, obj=[18.35983854 24.29157804]]
    INFO - 01:01:44:      2%|▏         | 194/10000 [00:01<00:52, 185.07 it/sec, obj=[18.35983854 24.29157804]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 11
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.21193996542739033
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [4.11766273e-07 1.02941568e-07]
    INFO - 01:01:44:          wrapped_ineq1 = [-11.3392945]
    INFO - 01:01:44:          wrapped_ineq2 = [-38.87118906]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      |  1.51491940673715  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.514918755857356  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2119399654273903 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [44.40816327 34.97959184]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      |  1.51491940673715  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.514918755857356  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2119399654273903 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 195/10000 [00:01<00:53, 182.46 it/sec, obj=[18.35983854 24.29157804]]
    INFO - 01:01:44:      2%|▏         | 196/10000 [00:01<00:53, 182.78 it/sec, obj=[16.36172986 25.48822114]]
    INFO - 01:01:44:      2%|▏         | 197/10000 [00:01<00:53, 183.11 it/sec, obj=[16.3564543  25.49151377]]
    INFO - 01:01:44:      2%|▏         | 198/10000 [00:01<00:53, 183.45 it/sec, obj=[16.35645426 25.49151379]]
    INFO - 01:01:44:      2%|▏         | 199/10000 [00:01<00:53, 183.78 it/sec, obj=[16.35645426 25.49151379]]
    INFO - 01:01:44:      2%|▏         | 200/10000 [00:01<00:53, 184.13 it/sec, obj=[16.35645426 25.49151379]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.20626256907696766
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [4.25322266e-07 1.06330560e-07]
    INFO - 01:01:44:          wrapped_ineq1 = [-10.82436549]
    INFO - 01:01:44:          wrapped_ineq2 = [-39.89635283]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.429880280304049  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.429879700547501  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.2062625690769677 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [41.63265306 35.91836735]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.429880280304049  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.429879700547501  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.2062625690769677 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 201/10000 [00:01<00:54, 181.42 it/sec, obj=[16.35645426 25.49151379]]
    INFO - 01:01:44:      2%|▏         | 202/10000 [00:01<00:53, 181.77 it/sec, obj=[14.47758697 26.71439073]]
    INFO - 01:01:44:      2%|▏         | 203/10000 [00:01<00:53, 182.09 it/sec, obj=[14.45874675 26.72719261]]
    INFO - 01:01:44:      2%|▏         | 204/10000 [00:01<00:53, 182.41 it/sec, obj=[14.45874622 26.72719297]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 7
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.19980817971995912
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [6.13336110e-06 1.53334028e-06]
    INFO - 01:01:44:          wrapped_ineq1 = [-10.29203113]
    INFO - 01:01:44:          wrapped_ineq2 = [-40.9417191]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.344374961670887  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.344374445829802  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1998081797199591 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [38.85714286 36.85714286]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.344374961670887  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.344374445829802  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1998081797199591 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 205/10000 [00:01<00:54, 180.03 it/sec, obj=[14.45874622 26.72719297]]
    INFO - 01:01:44:      2%|▏         | 206/10000 [00:01<00:54, 180.37 it/sec, obj=[12.79525861 27.90527931]]
    INFO - 01:01:44:      2%|▏         | 207/10000 [00:01<00:54, 180.71 it/sec, obj=[12.66849755 27.99919087]]
    INFO - 01:01:44:      2%|▏         | 208/10000 [00:01<00:54, 181.02 it/sec, obj=[12.66847181 27.99921   ]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 6
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.19256375769204676
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [1.31272770e-11 3.24895666e-12]
    INFO - 01:01:44:          wrapped_ineq1 = [-9.74200144]
    INFO - 01:01:44:          wrapped_ineq2 = [-42.00762488]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.258395613690263  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.258395181254487  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1925637576920468 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [36.08163265 37.79591837]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.258395613690263  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.258395181254487  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1925637576920468 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 209/10000 [00:01<00:54, 178.63 it/sec, obj=[12.66847181 27.99921   ]]
    INFO - 01:01:44:      2%|▏         | 210/10000 [00:01<00:54, 178.94 it/sec, obj=[11.20879156 29.1285928 ]]
    INFO - 01:01:44:      2%|▏         | 211/10000 [00:01<00:54, 179.28 it/sec, obj=[10.98752193 29.30810713]]
    INFO - 01:01:44:      2%|▏         | 212/10000 [00:01<00:54, 179.54 it/sec, obj=[10.98743766 29.30817594]]
    INFO - 01:01:44:      2%|▏         | 213/10000 [00:01<00:54, 179.82 it/sec, obj=[10.98743766 29.30817594]]
    INFO - 01:01:44:      2%|▏         | 214/10000 [00:01<00:54, 180.09 it/sec, obj=[10.98743766 29.30817594]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.18451613967087852
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [1.61517022e-10 4.03943545e-11]
    INFO - 01:01:44:          wrapped_ineq1 = [-9.17397942]
    INFO - 01:01:44:          wrapped_ineq2 = [-43.09441446]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.171934353980414  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.171933993216481  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1845161396708785 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [33.30612245 38.73469388]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.171934353980414  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.171933993216481  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1845161396708785 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 215/10000 [00:01<00:55, 177.89 it/sec, obj=[10.98743766 29.30817594]]
    INFO - 01:01:44:      2%|▏         | 216/10000 [00:01<00:54, 178.22 it/sec, obj=[ 9.71968091 30.3848744 ]]
    INFO - 01:01:44:      2%|▏         | 217/10000 [00:01<00:54, 178.53 it/sec, obj=[ 9.41767114 30.65456624]]
    INFO - 01:01:44:      2%|▏         | 218/10000 [00:01<00:54, 178.79 it/sec, obj=[ 9.4175016  30.65471918]]
    INFO - 01:01:44:      2%|▏         | 219/10000 [00:01<00:54, 179.05 it/sec, obj=[ 9.4175016  30.65471918]]
    INFO - 01:01:44:      2%|▏         | 220/10000 [00:01<00:54, 179.32 it/sec, obj=[ 9.4175016  30.65471918]]
   ERROR - 01:01:44: 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 - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.1756516238776123
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [7.63062502e-10 1.90773619e-10]
    INFO - 01:01:44:          wrapped_ineq1 = [-8.58765892]
    INFO - 01:01:44:          wrapped_ineq2 = [-44.20244331]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 1.084982960726322  |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 1.084982661396205  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1756516238776123 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [30.53061224 39.67346939]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 1.084982960726322  |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 1.084982661396205  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1756516238776123 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 221/10000 [00:01<00:55, 177.14 it/sec, obj=[ 9.4175016  30.65471918]]
    INFO - 01:01:44:      2%|▏         | 222/10000 [00:01<00:55, 177.45 it/sec, obj=[ 8.32946895 31.67468615]]
    INFO - 01:01:44:      2%|▏         | 223/10000 [00:01<00:55, 177.74 it/sec, obj=[ 7.96084914 32.03921088]]
    INFO - 01:01:44:      2%|▏         | 224/10000 [00:01<00:54, 178.01 it/sec, obj=[ 7.96057475 32.03948612]]
    INFO - 01:01:44:      2%|▏         | 225/10000 [00:01<00:54, 178.26 it/sec, obj=[ 7.96057475 32.03948612]]
    INFO - 01:01:44:      2%|▏         | 226/10000 [00:01<00:54, 178.52 it/sec, obj=[ 7.96057475 32.03948612]]
   ERROR - 01:01:44: 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 - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.16595615806991307
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.36441267e-09 5.91105831e-10]
    INFO - 01:01:44:          wrapped_ineq1 = [-7.98272517]
    INFO - 01:01:44:          wrapped_ineq2 = [-45.33207681]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 0.9975330019237079 |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 0.9975327551071317 |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1659561580699131 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [27.75510204 40.6122449 ]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 0.9975330019237079 |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 0.9975327551071317 |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1659561580699131 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 227/10000 [00:01<00:55, 176.46 it/sec, obj=[ 7.96057475 32.03948612]]
    INFO - 01:01:44:      2%|▏         | 228/10000 [00:01<00:55, 176.73 it/sec, obj=[ 7.03974946 32.99860817]]
    INFO - 01:01:44:      2%|▏         | 229/10000 [00:01<00:55, 177.00 it/sec, obj=[ 6.61901468 33.46270227]]
    INFO - 01:01:44:      2%|▏         | 230/10000 [00:01<00:55, 177.23 it/sec, obj=[ 6.61862363 33.46314191]]
    INFO - 01:01:44:      2%|▏         | 231/10000 [00:01<00:55, 177.49 it/sec, obj=[ 6.61862363 33.46314191]]
    INFO - 01:01:44:      2%|▏         | 232/10000 [00:01<00:54, 177.77 it/sec, obj=[ 6.61862363 33.46314191]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.15541528244966385
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [5.77598058e-09 1.44399870e-09]
    INFO - 01:01:44:          wrapped_ineq1 = [-7.35885427]
    INFO - 01:01:44:          wrapped_ineq2 = [-46.48369092]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 0.9095758011140623 |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 0.9095755990500299 |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1554152824496638 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [24.97959184 41.55102041]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 0.9095758011140623 |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 0.9095755990500299 |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1554152824496638 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 233/10000 [00:01<00:55, 175.64 it/sec, obj=[ 6.61862363 33.46314191]]
    INFO - 01:01:44:      2%|▏         | 234/10000 [00:01<00:55, 175.90 it/sec, obj=[ 5.85216964 34.35723983]]
    INFO - 01:01:44:      2%|▏         | 235/10000 [00:01<00:55, 176.15 it/sec, obj=[ 5.3941836  34.92572093]]
    INFO - 01:01:44:      2%|▏         | 236/10000 [00:01<00:55, 176.39 it/sec, obj=[ 5.39367249 34.92637122]]
    INFO - 01:01:44:      2%|▏         | 237/10000 [00:01<00:55, 176.63 it/sec, obj=[ 5.39367249 34.92637122]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.14401411292017569
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [1.21076233e-08 3.02691650e-09]
    INFO - 01:01:44:          wrapped_ineq1 = [-6.71571281]
    INFO - 01:01:44:          wrapped_ineq2 = [-47.65767262]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 0.8211024273304834 |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 0.8211022632757734 |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1440141129201757 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [22.20408163 42.48979592]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 0.8211024273304834 |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 0.8211022632757734 |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1440141129201757 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 238/10000 [00:01<00:55, 174.65 it/sec, obj=[ 5.39367249 34.92637122]]
    INFO - 01:01:44:      2%|▏         | 239/10000 [00:01<00:55, 174.88 it/sec, obj=[ 4.76843256 35.75120053]]
    INFO - 01:01:44:      2%|▏         | 240/10000 [00:01<00:55, 175.11 it/sec, obj=[ 4.28843115 36.42896749]]
    INFO - 01:01:44:      2%|▏         | 241/10000 [00:01<00:55, 175.31 it/sec, obj=[ 4.28780567 36.42987905]]
    INFO - 01:01:44:      2%|▏         | 242/10000 [00:01<00:55, 175.55 it/sec, obj=[ 4.28780567 36.42987905]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.1317373234485701
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [2.28092674e-08 5.70231240e-09]
    INFO - 01:01:44:          wrapped_ineq1 = [-6.05295749]
    INFO - 01:01:44:          wrapped_ineq2 = [-48.85442041]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 0.7321036845077268 |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 0.7321035526101565 |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1317373234485701 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [19.42857143 43.42857143]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 0.7321036845077268 |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 0.7321035526101565 |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1317373234485701 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 243/10000 [00:01<00:56, 173.61 it/sec, obj=[ 4.28780567 36.42987905]]
    INFO - 01:01:44:      2%|▏         | 244/10000 [00:01<00:56, 173.86 it/sec, obj=[ 3.79029979 37.18113061]]
    INFO - 01:01:44:      2%|▏         | 245/10000 [00:01<00:56, 174.09 it/sec, obj=[ 3.30389454 37.97316355]]
    INFO - 01:01:44:      2%|▏         | 246/10000 [00:01<00:55, 174.30 it/sec, obj=[ 3.30317013 37.97439157]]
    INFO - 01:01:44:      2%|▏         | 247/10000 [00:01<00:55, 174.54 it/sec, obj=[ 3.30317013 37.97439158]]
    INFO - 01:01:44:      2%|▏         | 248/10000 [00:01<00:55, 174.78 it/sec, obj=[ 3.30317013 37.97439158]]
    INFO - 01:01:44: Optimization result:
    INFO - 01:01:44:    Optimizer info:
    INFO - 01:01:44:       Status: None
    INFO - 01:01:44:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:44:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:44:    Solution:
    INFO - 01:01:44:       The solution is feasible.
    INFO - 01:01:44:       Objective: -0.11856912747414766
    INFO - 01:01:44:       Standardized constraints:
    INFO - 01:01:44:          beta_sub_optim_constraint = [3.97126421e-08 9.92816052e-09]
    INFO - 01:01:44:          wrapped_ineq1 = [-5.37023467]
    INFO - 01:01:44:          wrapped_ineq2 = [-50.07434472]
    INFO - 01:01:44:       Design space:
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:          | x    |      0      | 0.6425701003209856 |      5      | float |
    INFO - 01:01:44:          | y    |      0      | 0.642569995505141  |      3      | float |
    INFO - 01:01:44:          | t    |     -inf    | 0.1185691274741477 |     inf     | float |
    INFO - 01:01:44:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44: Solving mNBI sub-problem for phi_beta = [16.65306122 44.36734694]
    INFO - 01:01:44: Optimization problem:
    INFO - 01:01:44:    minimize -t_extraction
    INFO - 01:01:44:    with respect to t, x, y
    INFO - 01:01:44:    subject to constraints:
    INFO - 01:01:44:       wrapped_ineq1 <= 0.0
    INFO - 01:01:44:       wrapped_ineq2 <= 0.0
    INFO - 01:01:44:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:44:    over the design space:
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:       | x    |      0      | 0.6425701003209856 |      5      | float |
    INFO - 01:01:44:       | y    |      0      | 0.642569995505141  |      3      | float |
    INFO - 01:01:44:       | t    |     -inf    | 0.1185691274741477 |     inf     | float |
    INFO - 01:01:44:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:44:      2%|▏         | 249/10000 [00:01<00:56, 172.77 it/sec, obj=[ 3.30317013 37.97439158]]
    INFO - 01:01:44:      2%|▎         | 250/10000 [00:01<00:56, 173.03 it/sec, obj=[ 2.91959416 38.64769229]]
    INFO - 01:01:44:      3%|▎         | 251/10000 [00:01<00:56, 173.28 it/sec, obj=[ 2.44277552 39.55905254]]
    INFO - 01:01:44:      3%|▎         | 252/10000 [00:01<00:56, 173.50 it/sec, obj=[ 2.44197816 39.56065707]]
    INFO - 01:01:44:      3%|▎         | 253/10000 [00:01<00:56, 173.68 it/sec, obj=[ 2.44197816 39.56065708]]
    INFO - 01:01:45: Optimization result:
    INFO - 01:01:45:    Optimizer info:
    INFO - 01:01:45:       Status: None
    INFO - 01:01:45:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:45:       Number of calls to the objective function by the optimizer: 8
    INFO - 01:01:45:    Solution:
    INFO - 01:01:45:       The solution is feasible.
    INFO - 01:01:45:       Objective: -0.10449325829893727
    INFO - 01:01:45:       Standardized constraints:
    INFO - 01:01:45:          beta_sub_optim_constraint = [6.50789662e-08 1.62697384e-08]
    INFO - 01:01:45:          wrapped_ineq1 = [-4.66718]
    INFO - 01:01:45:          wrapped_ineq2 = [-51.31786852]
    INFO - 01:01:45:       Design space:
    INFO - 01:01:45:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:45:          | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:45:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:45:          | x    |      0      | 0.5524919144152846 |      5      | float |
    INFO - 01:01:45:          | y    |      0      | 0.5524918322781416 |      3      | float |
    INFO - 01:01:45:          | t    |     -inf    | 0.1044932582989373 |     inf     | float |
    INFO - 01:01:45:          +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:45: Solving mNBI sub-problem for phi_beta = [13.87755102 45.30612245]
    INFO - 01:01:45: Optimization problem:
    INFO - 01:01:45:    minimize -t_extraction
    INFO - 01:01:45:    with respect to t, x, y
    INFO - 01:01:45:    subject to constraints:
    INFO - 01:01:45:       wrapped_ineq1 <= 0.0
    INFO - 01:01:45:       wrapped_ineq2 <= 0.0
    INFO - 01:01:45:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:45:    over the design space:
    INFO - 01:01:45:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:45:       | Name | Lower bound |       Value        | Upper bound | Type  |
    INFO - 01:01:45:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:45:       | x    |      0      | 0.5524919144152846 |      5      | float |
    INFO - 01:01:45:       | y    |      0      | 0.5524918322781416 |      3      | float |
    INFO - 01:01:45:       | t    |     -inf    | 0.1044932582989373 |     inf     | float |
    INFO - 01:01:45:       +------+-------------+--------------------+-------------+-------+
    INFO - 01:01:45:      3%|▎         | 254/10000 [00:01<00:56, 171.88 it/sec, obj=[ 2.44197816 39.56065708]]
    INFO - 01:01:45:      3%|▎         | 255/10000 [00:01<00:56, 172.09 it/sec, obj=[ 2.15820259 40.1515706 ]]
    INFO - 01:01:45:      3%|▎         | 256/10000 [00:01<00:56, 172.33 it/sec, obj=[ 1.70734322 41.18740071]]
    INFO - 01:01:45:      3%|▎         | 257/10000 [00:01<00:56, 172.53 it/sec, obj=[ 1.70651014 41.18944685]]
   ERROR - 01:01:45: 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 - 01:01:45: Optimization result:
    INFO - 01:01:45:    Optimizer info:
    INFO - 01:01:45:       Status: None
    INFO - 01:01:45:       Message:  GEMSEO Stopped the driver
    INFO - 01:01:45:       Number of calls to the objective function by the optimizer: 6
    INFO - 01:01:45:    Solution:
    INFO - 01:01:45:       The solution is feasible.
    INFO - 01:01:45:       Objective: -0.08949294839143944
    INFO - 01:01:45:       Standardized constraints:
    INFO - 01:01:45:          beta_sub_optim_constraint = [1.01646732e-07 2.54116737e-08]
    INFO - 01:01:45:          wrapped_ineq1 = [-3.94341786]
    INFO - 01:01:45:          wrapped_ineq2 = [-52.58542774]
    INFO - 01:01:45:       Design space:
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | x    |      0      |  0.4618590659845447 |      5      | float |
    INFO - 01:01:45:          | y    |      0      |  0.4618590026974367 |      3      | float |
    INFO - 01:01:45:          | t    |     -inf    | 0.08949294839143944 |     inf     | float |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45: Solving mNBI sub-problem for phi_beta = [11.10204082 46.24489796]
    INFO - 01:01:45: Optimization problem:
    INFO - 01:01:45:    minimize -t_extraction
    INFO - 01:01:45:    with respect to t, x, y
    INFO - 01:01:45:    subject to constraints:
    INFO - 01:01:45:       wrapped_ineq1 <= 0.0
    INFO - 01:01:45:       wrapped_ineq2 <= 0.0
    INFO - 01:01:45:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:45:    over the design space:
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | x    |      0      |  0.4618590659845447 |      5      | float |
    INFO - 01:01:45:       | y    |      0      |  0.4618590026974367 |      3      | float |
    INFO - 01:01:45:       | t    |     -inf    | 0.08949294839143944 |     inf     | float |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:      3%|▎         | 258/10000 [00:01<00:57, 170.81 it/sec, obj=[ 1.70651014 41.18944686]]
    INFO - 01:01:45:      3%|▎         | 259/10000 [00:01<00:56, 171.04 it/sec, obj=[ 1.5080792  41.69347445]]
    INFO - 01:01:45:      3%|▎         | 260/10000 [00:01<00:56, 171.25 it/sec, obj=[ 1.09993702 42.85899808]]
    INFO - 01:01:45:      3%|▎         | 261/10000 [00:01<00:56, 171.43 it/sec, obj=[ 1.09911755 42.86155625]]
    INFO - 01:01:45:      3%|▎         | 262/10000 [00:01<00:56, 171.62 it/sec, obj=[ 1.09911754 42.86155626]]
    INFO - 01:01:45:      3%|▎         | 263/10000 [00:01<00:56, 171.81 it/sec, obj=[ 1.09911754 42.86155626]]
    INFO - 01:01:45: Optimization result:
    INFO - 01:01:45:    Optimizer info:
    INFO - 01:01:45:       Status: None
    INFO - 01:01:45:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:45:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:45:    Solution:
    INFO - 01:01:45:       The solution is feasible.
    INFO - 01:01:45:       Objective: -0.07355090752908491
    INFO - 01:01:45:       Standardized constraints:
    INFO - 01:01:45:          beta_sub_optim_constraint = [1.52688260e-07 3.81720415e-08]
    INFO - 01:01:45:          wrapped_ineq1 = [-3.19856096]
    INFO - 01:01:45:          wrapped_ineq2 = [-53.87747195]
    INFO - 01:01:45:       Design space:
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | x    |      0      |  0.3706611806565783 |      5      | float |
    INFO - 01:01:45:          | y    |      0      |  0.3706611328681297 |      3      | float |
    INFO - 01:01:45:          | t    |     -inf    | 0.07355090752908491 |     inf     | float |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45: Solving mNBI sub-problem for phi_beta = [ 8.32653061 47.18367347]
    INFO - 01:01:45: Optimization problem:
    INFO - 01:01:45:    minimize -t_extraction
    INFO - 01:01:45:    with respect to t, x, y
    INFO - 01:01:45:    subject to constraints:
    INFO - 01:01:45:       wrapped_ineq1 <= 0.0
    INFO - 01:01:45:       wrapped_ineq2 <= 0.0
    INFO - 01:01:45:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:45:    over the design space:
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | x    |      0      |  0.3706611806565783 |      5      | float |
    INFO - 01:01:45:       | y    |      0      |  0.3706611328681297 |      3      | float |
    INFO - 01:01:45:       | t    |     -inf    | 0.07355090752908491 |     inf     | float |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:      3%|▎         | 264/10000 [00:01<00:57, 170.12 it/sec, obj=[ 1.09911754 42.86155626]]
    INFO - 01:01:45:      3%|▎         | 265/10000 [00:01<00:57, 170.32 it/sec, obj=[ 0.97124847 43.27413768]]
    INFO - 01:01:45:      3%|▎         | 266/10000 [00:01<00:57, 170.52 it/sec, obj=[ 0.74056036 44.10007492]]
    INFO - 01:01:45:      3%|▎         | 267/10000 [00:01<00:57, 170.70 it/sec, obj=[ 0.62232528 44.57738593]]
    INFO - 01:01:45:      3%|▎         | 268/10000 [00:01<00:56, 170.87 it/sec, obj=[ 0.62222607 44.57780576]]
    INFO - 01:01:45:      3%|▎         | 269/10000 [00:01<00:56, 171.05 it/sec, obj=[ 0.62222607 44.57780576]]
    INFO - 01:01:45:      3%|▎         | 270/10000 [00:01<00:56, 171.23 it/sec, obj=[ 0.62222607 44.57780576]]
    INFO - 01:01:45: Optimization result:
    INFO - 01:01:45:    Optimizer info:
    INFO - 01:01:45:       Status: None
    INFO - 01:01:45:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:45:       Number of calls to the objective function by the optimizer: 10
    INFO - 01:01:45:    Solution:
    INFO - 01:01:45:       The solution is feasible.
    INFO - 01:01:45:       Objective: -0.05664929812588902
    INFO - 01:01:45:       Standardized constraints:
    INFO - 01:01:45:          beta_sub_optim_constraint = [3.95382482e-09 9.88454651e-10]
    INFO - 01:01:45:          wrapped_ineq1 = [-2.43220975]
    INFO - 01:01:45:          wrapped_ineq2 = [-55.19446492]
    INFO - 01:01:45:       Design space:
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | x    |      0      |  0.2788875540747672 |      5      | float |
    INFO - 01:01:45:          | y    |      0      |  0.2788875220436548 |      3      | float |
    INFO - 01:01:45:          | t    |     -inf    | 0.05664929812588902 |     inf     | float |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45: Solving mNBI sub-problem for phi_beta = [ 5.55102041 48.12244898]
    INFO - 01:01:45: Optimization problem:
    INFO - 01:01:45:    minimize -t_extraction
    INFO - 01:01:45:    with respect to t, x, y
    INFO - 01:01:45:    subject to constraints:
    INFO - 01:01:45:       wrapped_ineq1 <= 0.0
    INFO - 01:01:45:       wrapped_ineq2 <= 0.0
    INFO - 01:01:45:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:45:    over the design space:
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | x    |      0      |  0.2788875540747672 |      5      | float |
    INFO - 01:01:45:       | y    |      0      |  0.2788875220436548 |      3      | float |
    INFO - 01:01:45:       | t    |     -inf    | 0.05664929812588902 |     inf     | float |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:      3%|▎         | 271/10000 [00:01<00:57, 169.56 it/sec, obj=[ 0.62222607 44.57780576]]
    INFO - 01:01:45:      3%|▎         | 272/10000 [00:01<00:57, 169.77 it/sec, obj=[ 0.54980864 44.89432025]]
    INFO - 01:01:45:      3%|▎         | 273/10000 [00:01<00:57, 169.97 it/sec, obj=[ 0.44281765 45.40529451]]
    INFO - 01:01:45:      3%|▎         | 274/10000 [00:01<00:57, 170.14 it/sec, obj=[ 0.27858521 46.33745386]]
    INFO - 01:01:45:      3%|▎         | 275/10000 [00:01<00:57, 170.30 it/sec, obj=[ 0.27833898 46.33904202]]
    INFO - 01:01:45:      3%|▎         | 276/10000 [00:01<00:57, 170.48 it/sec, obj=[ 0.27833898 46.33904203]]
    INFO - 01:01:45:      3%|▎         | 277/10000 [00:01<00:56, 170.66 it/sec, obj=[ 0.27833898 46.33904203]]
    INFO - 01:01:45: Optimization result:
    INFO - 01:01:45:    Optimizer info:
    INFO - 01:01:45:       Status: None
    INFO - 01:01:45:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:45:       Number of calls to the objective function by the optimizer: 10
    INFO - 01:01:45:    Solution:
    INFO - 01:01:45:       The solution is feasible.
    INFO - 01:01:45:       Objective: -0.038769716781677045
    INFO - 01:01:45:       Standardized constraints:
    INFO - 01:01:45:          beta_sub_optim_constraint = [5.44311050e-08 1.36077807e-08]
    INFO - 01:01:45:          wrapped_ineq1 = [-1.64395196]
    INFO - 01:01:45:          wrapped_ineq2 = [-56.53688517]
    INFO - 01:01:45:       Design space:
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | x    |      0      |  0.1865271458408471 |      5      | float |
    INFO - 01:01:45:          | y    |      0      |  0.1865271265420713 |      3      | float |
    INFO - 01:01:45:          | t    |     -inf    | 0.03876971678167705 |     inf     | float |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45: Solving mNBI sub-problem for phi_beta = [ 2.7755102  49.06122449]
    INFO - 01:01:45: Optimization problem:
    INFO - 01:01:45:    minimize -t_extraction
    INFO - 01:01:45:    with respect to t, x, y
    INFO - 01:01:45:    subject to constraints:
    INFO - 01:01:45:       wrapped_ineq1 <= 0.0
    INFO - 01:01:45:       wrapped_ineq2 <= 0.0
    INFO - 01:01:45:       beta_sub_optim_constraint <= 0.0
    INFO - 01:01:45:    over the design space:
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:       | x    |      0      |  0.1865271458408471 |      5      | float |
    INFO - 01:01:45:       | y    |      0      |  0.1865271265420713 |      3      | float |
    INFO - 01:01:45:       | t    |     -inf    | 0.03876971678167705 |     inf     | float |
    INFO - 01:01:45:       +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:      3%|▎         | 278/10000 [00:01<00:57, 169.01 it/sec, obj=[ 0.27833898 46.33904203]]
    INFO - 01:01:45:      3%|▎         | 279/10000 [00:01<00:57, 169.19 it/sec, obj=[ 0.24593532 46.55480934]]
    INFO - 01:01:45:      3%|▎         | 280/10000 [00:01<00:57, 169.37 it/sec, obj=[ 0.20794898 46.82747967]]
    INFO - 01:01:45:      3%|▎         | 281/10000 [00:01<00:57, 169.56 it/sec, obj=[ 0.07420143 48.09239571]]
    INFO - 01:01:45:      3%|▎         | 282/10000 [00:01<00:57, 169.74 it/sec, obj=[ 0.07004098 48.14613402]]
    INFO - 01:01:45:      3%|▎         | 283/10000 [00:01<00:57, 169.91 it/sec, obj=[ 0.07004059 48.14613918]]
    INFO - 01:01:45: Optimization result:
    INFO - 01:01:45:    Optimizer info:
    INFO - 01:01:45:       Status: None
    INFO - 01:01:45:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 01:01:45:       Number of calls to the objective function by the optimizer: 9
    INFO - 01:01:45:    Solution:
    INFO - 01:01:45:       The solution is feasible.
    INFO - 01:01:45:       Objective: -0.019893597336510367
    INFO - 01:01:45:       Standardized constraints:
    INFO - 01:01:45:          beta_sub_optim_constraint = [6.00135128e-05 1.50033782e-05]
    INFO - 01:01:45:          wrapped_ineq1 = [-0.83336423]
    INFO - 01:01:45:          wrapped_ineq2 = [-57.90522287]
    INFO - 01:01:45:       Design space:
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | Name | Lower bound |        Value        | Upper bound | Type  |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:          | x    |      0      | 0.09356881602078253 |      5      | float |
    INFO - 01:01:45:          | y    |      0      |  0.0935688069054857 |      3      | float |
    INFO - 01:01:45:          | t    |     -inf    | 0.01989359733651037 |     inf     | float |
    INFO - 01:01:45:          +------+-------------+---------------------+-------------+-------+
    INFO - 01:01:45:      3%|▎         | 284/10000 [00:01<00:58, 165.50 it/sec, obj=[ 0.07004059 48.14613918]]
    INFO - 01:01:45: Optimization result:
    INFO - 01:01:45:    Optimizer info:
    INFO - 01:01:45:       Status: None
    INFO - 01:01:45:       Message: None
    INFO - 01:01:45:       Number of calls to the objective function by the optimizer: 431
    INFO - 01:01:45:    Solution:
    INFO - 01:01:45:       The solution is feasible.
    INFO - 01:01:45:       Objective: 30.28780069872395
    INFO - 01:01:45:       Standardized constraints:
    INFO - 01:01:45:          ineq1 = [-10.82436312]
    INFO - 01:01:45:          ineq2 = [-39.89635695]
    INFO - 01:01:45:    Pareto efficient solutions:
    INFO - 01:01:45:       Pareto optimal points : 205 / 284
    INFO - 01:01:45:       Utopia point : [2.57749631e-28 4.00000000e+00]
    INFO - 01:01:45:       Compromise solution (closest to utopia) : [[14.47758697 26.71439073]]
    INFO - 01:01:45:       Distance from utopia : 26.93592528074487
    INFO - 01:01:45:       Objective values:
    INFO - 01:01:45:          +------+------------+-----+---------+
    INFO - 01:01:45:          | name |          1 |   2 |       3 |
    INFO - 01:01:45:          +------+------------+-----+---------+
    INFO - 01:01:45:          |    1 | 2.5775e-28 | 136 | 14.4776 |
    INFO - 01:01:45:          |    2 |         50 |   4 | 26.7144 |
    INFO - 01:01:45:          +------+------------+-----+---------+
    INFO - 01:01:45:       Constraint values:
    INFO - 01:01:45:          +------+-------------+------+----------+
    INFO - 01:01:45:          | name |           1 |    2 |        3 |
    INFO - 01:01:45:          +------+-------------+------+----------+
    INFO - 01:01:45:          |    1 | 7.10543e-15 |  -22 | -10.2976 |
    INFO - 01:01:45:          |    2 |       -59.3 | -7.3 | -40.9309 |
    INFO - 01:01:45:          +------+-------------+------+----------+
    INFO - 01:01:45:       Design space:
    INFO - 01:01:45:          +-------+-------------+-------------+---+---------+-------------+-------+
    INFO - 01:01:45:          |  name | lower_bound |           1 | 2 |       3 | upper_bound |  type |
    INFO - 01:01:45:          +-------+-------------+-------------+---+---------+-------------+-------+
    INFO - 01:01:45:          | x (1) |           0 |           0 | 5 | 1.34525 |           5 | float |
    INFO - 01:01:45:          | y (1) |           0 | 8.02729e-15 | 3 | 1.34525 |           3 | float |
    INFO - 01:01:45:          +-------+-------------+-------------+---+---------+-------------+-------+

Display the Pareto front

GEMSEO detects the Pareto optimal points and the dominated ones.

execute_post(problem, "ParetoFront", save=False, show=True)
Pareto front
<gemseo.post.pareto_front.ParetoFront object at 0x7f1191edf7c0>

Total running time of the script: (0 minutes 1.985 seconds)

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