Multi-objective Poloni example with the mNBI algorithm

In this example, the modified Normal Boundary Intersection (mNBI) algorithm is used to solve the Poloni problem [PGOP00]:

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

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

from __future__ import annotations

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

configure_logger()
<RootLogger root (INFO)>

Solve the Poloni optimization problem

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

opt_problem = Poloni()
result = execute_algo(
    opt_problem,
    "MNBI",
    max_iter=10000,
    sub_optim_max_iter=50,
    n_sub_optim=50,
    sub_optim_algo="SLSQP",
)
   INFO - 01:01:46: Optimization problem:
   INFO - 01:01:46:    minimize Poloni
   INFO - 01:01:46:    with respect to x, y
   INFO - 01:01:46:    over the design space:
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46: Solving optimization problem with algorithm MNBI:
   INFO - 01:01:46: Searching for the individual optimum of each objective
   INFO - 01:01:46: Optimization problem:
   INFO - 01:01:46:    minimize f_0
   INFO - 01:01:46:    with respect to x, y
   INFO - 01:01:46:    over the design space:
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46: Optimization result:
   INFO - 01:01:46:    Optimizer info:
   INFO - 01:01:46:       Status: None
   INFO - 01:01:46:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:46:       Number of calls to the objective function by the optimizer: 10
   INFO - 01:01:46:    Solution:
   INFO - 01:01:46:       Objective: 2.2463319640185718e-26
   INFO - 01:01:46:       Design space:
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | x    | -3.141592653589793 |  -2.999999999999858 | 3.141592653589793 | float |
   INFO - 01:01:46:          | y    | -3.141592653589793 | -0.9999999999999524 | 3.141592653589793 | float |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46: Optimization problem:
   INFO - 01:01:46:    minimize f_1
   INFO - 01:01:46:    with respect to x, y
   INFO - 01:01:46:    over the design space:
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:      1%|          | 51/10000 [00:00<00:16, 621.28 it/sec, obj=[24.96950184  1.00002711]]
   INFO - 01:01:46:      1%|          | 52/10000 [00:00<00:15, 623.77 it/sec, obj=[24.97116897  1.00002611]]
   INFO - 01:01:46:      1%|          | 53/10000 [00:00<00:15, 624.70 it/sec, obj=[24.97046821  1.00003218]]
   INFO - 01:01:46:      1%|          | 54/10000 [00:00<00:15, 627.32 it/sec, obj=[24.97086793  1.00002464]]
   INFO - 01:01:46:      1%|          | 55/10000 [00:00<00:15, 629.53 it/sec, obj=[24.97100153  1.00002455]]
   INFO - 01:01:46:      1%|          | 56/10000 [00:00<00:15, 630.34 it/sec, obj=[24.97561431  1.00002325]]
   INFO - 01:01:46:      1%|          | 57/10000 [00:00<00:15, 632.71 it/sec, obj=[24.97347016  1.00002155]]
   INFO - 01:01:46:      1%|          | 58/10000 [00:00<00:15, 633.08 it/sec, obj=[24.97995311  1.00001713]]
   INFO - 01:01:46: Optimization result:
   INFO - 01:01:46:    Optimizer info:
   INFO - 01:01:46:       Status: None
   INFO - 01:01:46:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:46:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:46:    Solution:
   INFO - 01:01:46:       Objective: 1.0000171321654794
   INFO - 01:01:46:       Design space:
   INFO - 01:01:46:          +------+--------------------+-------------------+-------------------+-------+
   INFO - 01:01:46:          | Name |    Lower bound     |       Value       |    Upper bound    | Type  |
   INFO - 01:01:46:          +------+--------------------+-------------------+-------------------+-------+
   INFO - 01:01:46:          | x    | -3.141592653589793 | 1.000941264187149 | 3.141592653589793 | float |
   INFO - 01:01:46:          | y    | -3.141592653589793 | 1.995400159407935 | 3.141592653589793 | float |
   INFO - 01:01:46:          +------+--------------------+-------------------+-------------------+-------+
   INFO - 01:01:46: Solving mNBI sub-problem for phi_beta = [24.47015815  1.32190123]
   INFO - 01:01:46: Optimization problem:
   INFO - 01:01:46:    minimize -t_extraction
   INFO - 01:01:46:    with respect to t, x, y
   INFO - 01:01:46:    subject to constraints:
   INFO - 01:01:46:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:46:    over the design space:
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 01:01:46:       | t    |        -inf        |   0   |        inf        | float |
   INFO - 01:01:46:       +------+--------------------+-------+-------------------+-------+
   INFO - 01:01:46:      1%|          | 59/10000 [00:00<00:18, 550.89 it/sec, obj=[18.55725595  4.81231197]]
   INFO - 01:01:46:      1%|          | 60/10000 [00:00<00:17, 553.14 it/sec, obj=[22.68937314  1.37426735]]
   INFO - 01:01:46:      1%|          | 61/10000 [00:00<00:17, 555.42 it/sec, obj=[24.01851979  1.1475683 ]]
   INFO - 01:01:46:      1%|          | 62/10000 [00:00<00:17, 557.41 it/sec, obj=[24.17988956  1.14445825]]
   INFO - 01:01:46:      1%|          | 63/10000 [00:00<00:17, 559.08 it/sec, obj=[24.1769843   1.14867665]]
   INFO - 01:01:46:      1%|          | 64/10000 [00:00<00:17, 562.52 it/sec, obj=[24.1787089   1.14588072]]
   INFO - 01:01:46:      1%|          | 65/10000 [00:00<00:17, 565.63 it/sec, obj=[24.17947253  1.14493443]]
   INFO - 01:01:46:      1%|          | 66/10000 [00:00<00:17, 568.98 it/sec, obj=[24.17974802  1.14461712]]
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   INFO - 01:01:46:      1%|          | 71/10000 [00:00<00:16, 584.42 it/sec, obj=[24.17988897  1.1444589 ]]
   INFO - 01:01:46:      1%|          | 72/10000 [00:00<00:16, 587.36 it/sec, obj=[24.17988936  1.14445847]]
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   INFO - 01:01:46:      1%|          | 86/10000 [00:00<00:16, 619.27 it/sec, obj=[24.14695487  1.16173877]]
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   INFO - 01:01:46:      1%|          | 96/10000 [00:00<00:15, 637.74 it/sec, obj=[39.25155873 11.67266776]]
   INFO - 01:01:46:      1%|          | 97/10000 [00:00<00:15, 639.47 it/sec, obj=[24.22180692  1.24941165]]
   INFO - 01:01:46:      1%|          | 98/10000 [00:00<00:15, 641.25 it/sec, obj=[24.16101174  1.15757516]]
   INFO - 01:01:46:      1%|          | 99/10000 [00:00<00:15, 642.99 it/sec, obj=[24.16816347  1.15108662]]
   INFO - 01:01:46:      1%|          | 100/10000 [00:00<00:15, 643.02 it/sec, obj=[24.14234357  1.20477329]]
   INFO - 01:01:46:      1%|          | 101/10000 [00:00<00:15, 644.79 it/sec, obj=[24.15071643  1.1609111 ]]
   INFO - 01:01:46:      1%|          | 102/10000 [00:00<00:15, 646.51 it/sec, obj=[24.16164452  1.15414496]]
   INFO - 01:01:46:      1%|          | 103/10000 [00:00<00:15, 648.02 it/sec, obj=[24.16584743  1.15211894]]
   INFO - 01:01:46:      1%|          | 104/10000 [00:00<00:15, 648.87 it/sec, obj=[24.16735116  1.15144272]]
   INFO - 01:01:46:      1%|          | 105/10000 [00:00<00:15, 650.38 it/sec, obj=[24.16787973  1.1512103 ]]
   INFO - 01:01:46:      1%|          | 106/10000 [00:00<00:15, 651.86 it/sec, obj=[24.16806449  1.15112968]]
   INFO - 01:01:46:      1%|          | 107/10000 [00:00<00:15, 653.29 it/sec, obj=[24.16812896  1.15110162]]
WARNING - 01:01:46: Optimization found no feasible point !  The least infeasible point is selected.
   INFO - 01:01:46: Optimization result:
   INFO - 01:01:46:    Optimizer info:
   INFO - 01:01:46:       Status: None
   INFO - 01:01:46:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:46:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:46:    Solution:
WARNING - 01:01:46:       The solution is not feasible.
   INFO - 01:01:46:       Objective: -0.01164561234214461
   INFO - 01:01:46:       Standardized constraints:
   INFO - 01:01:46:          beta_sub_optim_constraint = [0.00063825 0.00623536]
   INFO - 01:01:46:       Design space:
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | x    | -3.141592653589793 |  1.314225868198866  | 3.141592653589793 | float |
   INFO - 01:01:46:          | y    | -3.141592653589793 |  1.359522136777711  | 3.141592653589793 | float |
   INFO - 01:01:46:          | t    |        -inf        | 0.01164561234214461 |        inf        | float |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
WARNING - 01:01:46: No feasible optimum has been found for phi_beta = [24.47015815  1.32190123]
   INFO - 01:01:46: Solving mNBI sub-problem for phi_beta = [23.96036319  1.64378532]
   INFO - 01:01:46: Optimization problem:
   INFO - 01:01:46:    minimize -t_extraction
   INFO - 01:01:46:    with respect to t, x, y
   INFO - 01:01:46:    subject to constraints:
   INFO - 01:01:46:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:46:    over the design space:
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:       | x    | -3.141592653589793 |  1.314225868198866  | 3.141592653589793 | float |
   INFO - 01:01:46:       | y    | -3.141592653589793 |  1.359522136777711  | 3.141592653589793 | float |
   INFO - 01:01:46:       | t    |        -inf        | 0.01164561234214461 |        inf        | float |
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:      1%|          | 108/10000 [00:00<00:16, 601.37 it/sec, obj=[23.18074652  1.27476476]]
   INFO - 01:01:46:      1%|          | 109/10000 [00:00<00:16, 601.70 it/sec, obj=[23.32430637  1.25126744]]
   INFO - 01:01:46:      1%|          | 110/10000 [00:00<00:16, 601.91 it/sec, obj=[23.31319382  1.27994619]]
   INFO - 01:01:46:      1%|          | 111/10000 [00:00<00:16, 603.56 it/sec, obj=[23.32138649  1.25726167]]
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   INFO - 01:01:46:      1%|▏         | 143/10000 [00:00<00:15, 639.23 it/sec, obj=[23.3312731   1.67178622]]
   INFO - 01:01:46:      1%|▏         | 144/10000 [00:00<00:15, 640.24 it/sec, obj=[23.29729982  1.29364608]]
   INFO - 01:01:46:      1%|▏         | 145/10000 [00:00<00:15, 641.22 it/sec, obj=[23.31660304  1.26122333]]
   INFO - 01:01:46:      1%|▏         | 146/10000 [00:00<00:15, 642.11 it/sec, obj=[23.32221786  1.25385132]]
   INFO - 01:01:46:      1%|▏         | 147/10000 [00:00<00:15, 643.08 it/sec, obj=[23.3237453   1.25195385]]
   INFO - 01:01:46:      1%|▏         | 148/10000 [00:00<00:15, 644.00 it/sec, obj=[23.32415585  1.25145103]]
   INFO - 01:01:46:      1%|▏         | 149/10000 [00:00<00:15, 644.53 it/sec, obj=[23.32426588  1.25131679]]
   INFO - 01:01:46:      2%|▏         | 150/10000 [00:00<00:15, 645.43 it/sec, obj=[23.32429535  1.25128087]]
   INFO - 01:01:46:      2%|▏         | 151/10000 [00:00<00:15, 646.34 it/sec, obj=[23.32430324  1.25127126]]
   INFO - 01:01:46:      2%|▏         | 152/10000 [00:00<00:15, 647.09 it/sec, obj=[23.32430535  1.25126868]]
   INFO - 01:01:46:      2%|▏         | 153/10000 [00:00<00:15, 647.92 it/sec, obj=[23.32430591  1.251268  ]]
   INFO - 01:01:46:      2%|▏         | 154/10000 [00:00<00:15, 647.53 it/sec, obj=[23.3500547  1.7321383]]
   INFO - 01:01:46:      2%|▏         | 155/10000 [00:00<00:15, 648.28 it/sec, obj=[23.29583195  1.29651316]]
   INFO - 01:01:46:      2%|▏         | 156/10000 [00:00<00:15, 648.53 it/sec, obj=[23.31593834  1.26209611]]
WARNING - 01:01:46: Optimization found no feasible point !  The least infeasible point is selected.
   INFO - 01:01:46: Optimization result:
   INFO - 01:01:46:    Optimizer info:
   INFO - 01:01:46:       Status: None
   INFO - 01:01:46:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:46:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:46:    Solution:
WARNING - 01:01:46:       The solution is not feasible.
   INFO - 01:01:46:       Objective: -0.025483658150866638
   INFO - 01:01:46:       Standardized constraints:
   INFO - 01:01:46:          beta_sub_optim_constraint = [0.00052376 0.00941854]
   INFO - 01:01:46:       Design space:
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | x    | -3.141592653589793 |  1.251341663072848  | 3.141592653589793 | float |
   INFO - 01:01:46:          | y    | -3.141592653589793 |  1.291375227145739  | 3.141592653589793 | float |
   INFO - 01:01:46:          | t    |        -inf        | 0.02548365815086664 |        inf        | float |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
WARNING - 01:01:46: No feasible optimum has been found for phi_beta = [23.96036319  1.64378532]
   INFO - 01:01:46: Solving mNBI sub-problem for phi_beta = [23.45056823  1.96566942]
   INFO - 01:01:46: Optimization problem:
   INFO - 01:01:46:    minimize -t_extraction
   INFO - 01:01:46:    with respect to t, x, y
   INFO - 01:01:46:    subject to constraints:
   INFO - 01:01:46:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:46:    over the design space:
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:       | x    | -3.141592653589793 |  1.251341663072848  | 3.141592653589793 | float |
   INFO - 01:01:46:       | y    | -3.141592653589793 |  1.291375227145739  | 3.141592653589793 | float |
   INFO - 01:01:46:       | t    |        -inf        | 0.02548365815086664 |        inf        | float |
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:      2%|▏         | 157/10000 [00:00<00:16, 611.04 it/sec, obj=[22.5252334   1.49935858]]
   INFO - 01:01:46:      2%|▏         | 158/10000 [00:00<00:16, 610.67 it/sec, obj=[22.64314059  1.4657663 ]]
   INFO - 01:01:46:      2%|▏         | 159/10000 [00:00<00:16, 611.55 it/sec, obj=[22.57840624  1.48396484]]
   INFO - 01:01:46:      2%|▏         | 160/10000 [00:00<00:16, 612.43 it/sec, obj=[22.55059354  1.49196623]]
   INFO - 01:01:46:      2%|▏         | 161/10000 [00:00<00:16, 613.28 it/sec, obj=[22.53763625  1.49573167]]
   INFO - 01:01:46:      2%|▏         | 162/10000 [00:00<00:16, 614.05 it/sec, obj=[22.53137207  1.49756071]]
   INFO - 01:01:46:      2%|▏         | 163/10000 [00:00<00:15, 614.93 it/sec, obj=[22.52828942  1.49846287]]
   INFO - 01:01:46:      2%|▏         | 164/10000 [00:00<00:15, 615.80 it/sec, obj=[22.52675917  1.49891121]]
   INFO - 01:01:46:      2%|▏         | 165/10000 [00:00<00:15, 616.57 it/sec, obj=[22.52599626  1.49913486]]
   INFO - 01:01:46:      2%|▏         | 166/10000 [00:00<00:15, 617.43 it/sec, obj=[22.52561509  1.49924664]]
   INFO - 01:01:46:      2%|▏         | 167/10000 [00:00<00:15, 618.22 it/sec, obj=[22.52542444  1.49930255]]
   INFO - 01:01:46:      2%|▏         | 168/10000 [00:00<00:15, 618.94 it/sec, obj=[22.52532904  1.49933053]]
   INFO - 01:01:46:      2%|▏         | 169/10000 [00:00<00:15, 618.66 it/sec, obj=[22.62905573  1.50836087]]
   INFO - 01:01:46:      2%|▏         | 170/10000 [00:00<00:15, 619.32 it/sec, obj=[22.54297859  1.50084194]]
   INFO - 01:01:46:      2%|▏         | 171/10000 [00:00<00:15, 620.01 it/sec, obj=[22.52847037  1.49959864]]
   INFO - 01:01:46:      2%|▏         | 172/10000 [00:00<00:15, 620.77 it/sec, obj=[22.52589263  1.4993786 ]]
   INFO - 01:01:46:      2%|▏         | 173/10000 [00:00<00:15, 621.53 it/sec, obj=[22.5254303   1.49933917]]
   INFO - 01:01:46:      2%|▏         | 174/10000 [00:00<00:15, 622.15 it/sec, obj=[22.52534724  1.49933208]]
   INFO - 01:01:46:      2%|▏         | 175/10000 [00:00<00:15, 622.86 it/sec, obj=[22.52533231  1.49933081]]
   INFO - 01:01:46:      2%|▏         | 176/10000 [00:00<00:15, 623.56 it/sec, obj=[22.52532963  1.49933058]]
   INFO - 01:01:46:      2%|▏         | 177/10000 [00:00<00:15, 624.16 it/sec, obj=[22.52532914  1.49933054]]
   INFO - 01:01:46:      2%|▏         | 178/10000 [00:00<00:15, 624.80 it/sec, obj=[22.52532906  1.49933053]]
   INFO - 01:01:46:      2%|▏         | 179/10000 [00:00<00:15, 625.44 it/sec, obj=[22.52532904  1.49933053]]
   INFO - 01:01:46:      2%|▏         | 180/10000 [00:00<00:15, 624.97 it/sec, obj=[22.61184188  1.61585735]]
   INFO - 01:01:46:      2%|▏         | 181/10000 [00:00<00:15, 625.61 it/sec, obj=[22.53441186  1.51402816]]
   INFO - 01:01:46:      2%|▏         | 182/10000 [00:00<00:15, 626.28 it/sec, obj=[22.52666093  1.50155751]]
   INFO - 01:01:46:      2%|▏         | 183/10000 [00:00<00:15, 626.83 it/sec, obj=[22.52553474  1.49967627]]
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   INFO - 01:01:46:      2%|▏         | 185/10000 [00:00<00:15, 628.04 it/sec, obj=[22.52533404  1.49933893]]
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   INFO - 01:01:46:      2%|▏         | 187/10000 [00:00<00:15, 629.14 it/sec, obj=[22.52532916  1.49933073]]
   INFO - 01:01:46:      2%|▏         | 188/10000 [00:00<00:15, 629.72 it/sec, obj=[22.52532906  1.49933056]]
   INFO - 01:01:46:      2%|▏         | 189/10000 [00:00<00:15, 630.23 it/sec, obj=[22.52532905  1.49933054]]
   INFO - 01:01:46:      2%|▏         | 190/10000 [00:00<00:15, 630.82 it/sec, obj=[22.52532904  1.49933053]]
   INFO - 01:01:46:      2%|▏         | 191/10000 [00:00<00:15, 630.21 it/sec, obj=[22.61045235  1.67360332]]
   INFO - 01:01:46:      2%|▏         | 192/10000 [00:00<00:15, 630.73 it/sec, obj=[22.53175926  1.51921834]]
   INFO - 01:01:46:      2%|▏         | 193/10000 [00:00<00:15, 631.34 it/sec, obj=[22.52620692  1.50227747]]
   INFO - 01:01:46:      2%|▏         | 194/10000 [00:00<00:15, 631.75 it/sec, obj=[22.52546161  1.49978144]]
   INFO - 01:01:46:      2%|▏         | 195/10000 [00:00<00:15, 632.28 it/sec, obj=[22.52534938  1.49939986]]
   INFO - 01:01:46:      2%|▏         | 196/10000 [00:00<00:15, 632.83 it/sec, obj=[22.52533217  1.4993412 ]]
   INFO - 01:01:46:      2%|▏         | 197/10000 [00:00<00:15, 633.26 it/sec, obj=[22.52532952  1.49933217]]
   INFO - 01:01:46:      2%|▏         | 198/10000 [00:00<00:15, 633.80 it/sec, obj=[22.52532912  1.49933078]]
   INFO - 01:01:46:      2%|▏         | 199/10000 [00:00<00:15, 634.36 it/sec, obj=[22.52532905  1.49933057]]
   INFO - 01:01:46:      2%|▏         | 200/10000 [00:00<00:15, 634.74 it/sec, obj=[22.52532904  1.49933054]]
   INFO - 01:01:46:      2%|▏         | 201/10000 [00:00<00:15, 635.19 it/sec, obj=[22.52532904  1.49933053]]
   INFO - 01:01:46:      2%|▏         | 202/10000 [00:00<00:15, 634.56 it/sec, obj=[22.61062245  1.68296765]]
   INFO - 01:01:46:      2%|▏         | 203/10000 [00:00<00:15, 635.01 it/sec, obj=[22.53134221  1.51984849]]
   INFO - 01:01:46:      2%|▏         | 204/10000 [00:00<00:15, 635.54 it/sec, obj=[22.5261342   1.50234656]]
   INFO - 01:01:46:      2%|▏         | 205/10000 [00:00<00:15, 636.03 it/sec, obj=[22.52544956  1.49978881]]
WARNING - 01:01:46: Optimization found no feasible point !  The least infeasible point is selected.
   INFO - 01:01:46: Optimization result:
   INFO - 01:01:46:    Optimizer info:
   INFO - 01:01:46:       Status: None
   INFO - 01:01:46:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:46:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:46:    Solution:
WARNING - 01:01:46:       The solution is not feasible.
   INFO - 01:01:46:       Objective: -0.03233746070320915
   INFO - 01:01:46:       Standardized constraints:
   INFO - 01:01:46:          beta_sub_optim_constraint = [0.00036062 0.01013368]
   INFO - 01:01:46:       Design space:
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:          | x    | -3.141592653589793 |  1.202418673146802  | 3.141592653589793 | float |
   INFO - 01:01:46:          | y    | -3.141592653589793 |  1.232222634607576  | 3.141592653589793 | float |
   INFO - 01:01:46:          | t    |        -inf        | 0.03233746070320915 |        inf        | float |
   INFO - 01:01:46:          +------+--------------------+---------------------+-------------------+-------+
WARNING - 01:01:46: No feasible optimum has been found for phi_beta = [23.45056823  1.96566942]
   INFO - 01:01:46: Solving mNBI sub-problem for phi_beta = [22.94077327  2.28755351]
   INFO - 01:01:46: Optimization problem:
   INFO - 01:01:46:    minimize -t_extraction
   INFO - 01:01:46:    with respect to t, x, y
   INFO - 01:01:46:    subject to constraints:
   INFO - 01:01:46:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:46:    over the design space:
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:       | x    | -3.141592653589793 |  1.202418673146802  | 3.141592653589793 | float |
   INFO - 01:01:46:       | y    | -3.141592653589793 |  1.232222634607576  | 3.141592653589793 | float |
   INFO - 01:01:46:       | t    |        -inf        | 0.03233746070320915 |        inf        | float |
   INFO - 01:01:46:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:46:      2%|▏         | 206/10000 [00:00<00:16, 608.13 it/sec, obj=[21.9694404   1.78480125]]
   INFO - 01:01:46:      2%|▏         | 207/10000 [00:00<00:16, 607.72 it/sec, obj=[22.06847374  1.74311099]]
   INFO - 01:01:46:      2%|▏         | 208/10000 [00:00<00:16, 608.21 it/sec, obj=[22.01160189  1.76685463]]
   INFO - 01:01:46:      2%|▏         | 209/10000 [00:00<00:16, 608.65 it/sec, obj=[21.98878661  1.77652972]]
   INFO - 01:01:46:      2%|▏         | 210/10000 [00:00<00:16, 609.20 it/sec, obj=[21.97860377  1.78087569]]
   INFO - 01:01:46:      2%|▏         | 211/10000 [00:00<00:16, 609.68 it/sec, obj=[21.97384401  1.78291301]]
   INFO - 01:01:46:      2%|▏         | 212/10000 [00:00<00:16, 610.12 it/sec, obj=[21.97157117  1.78388719]]
   INFO - 01:01:46:      2%|▏         | 213/10000 [00:00<00:16, 610.65 it/sec, obj=[21.97047481  1.78435741]]
   INFO - 01:01:46:      2%|▏         | 214/10000 [00:00<00:16, 611.09 it/sec, obj=[21.96994336  1.78458542]]
   INFO - 01:01:46:      2%|▏         | 215/10000 [00:00<00:16, 611.49 it/sec, obj=[21.96968515  1.78469622]]
   INFO - 01:01:46:      2%|▏         | 216/10000 [00:00<00:15, 611.98 it/sec, obj=[21.96955954  1.78475012]]
   INFO - 01:01:46:      2%|▏         | 217/10000 [00:00<00:15, 612.46 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 218/10000 [00:00<00:15, 611.83 it/sec, obj=[22.06345067  1.77268273]]
   INFO - 01:01:46:      2%|▏         | 219/10000 [00:00<00:15, 612.33 it/sec, obj=[21.98137653  1.78320045]]
   INFO - 01:01:46:      2%|▏         | 220/10000 [00:00<00:15, 612.73 it/sec, obj=[21.97104103  1.78457089]]
   INFO - 01:01:46:      2%|▏         | 221/10000 [00:00<00:15, 613.21 it/sec, obj=[21.96969945  1.78474956]]
   INFO - 01:01:46:      2%|▏         | 222/10000 [00:00<00:15, 613.64 it/sec, obj=[21.96952462  1.78477286]]
   INFO - 01:01:46:      2%|▏         | 223/10000 [00:00<00:15, 614.04 it/sec, obj=[21.96950183  1.7847759 ]]
   INFO - 01:01:46:      2%|▏         | 224/10000 [00:00<00:15, 614.47 it/sec, obj=[21.96949885  1.78477629]]
   INFO - 01:01:46:      2%|▏         | 225/10000 [00:00<00:15, 614.95 it/sec, obj=[21.96949847  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 226/10000 [00:00<00:15, 615.32 it/sec, obj=[21.96949842  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 227/10000 [00:00<00:15, 615.77 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 228/10000 [00:00<00:15, 616.23 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 229/10000 [00:00<00:15, 615.68 it/sec, obj=[22.05649682  1.83598965]]
   INFO - 01:01:46:      2%|▏         | 230/10000 [00:00<00:15, 616.08 it/sec, obj=[21.97763074  1.7896492 ]]
   INFO - 01:01:46:      2%|▏         | 231/10000 [00:00<00:15, 616.39 it/sec, obj=[21.97030597  1.78526119]]
   INFO - 01:01:46:      2%|▏         | 232/10000 [00:00<00:15, 616.78 it/sec, obj=[21.96957934  1.78482495]]
   INFO - 01:01:46:      2%|▏         | 233/10000 [00:00<00:15, 617.16 it/sec, obj=[21.96950653  1.78478123]]
   INFO - 01:01:46:      2%|▏         | 234/10000 [00:00<00:15, 617.49 it/sec, obj=[21.96949922  1.78477684]]
   INFO - 01:01:46:      2%|▏         | 235/10000 [00:00<00:15, 617.87 it/sec, obj=[21.96949849  1.7847764 ]]
   INFO - 01:01:46:      2%|▏         | 236/10000 [00:00<00:15, 618.23 it/sec, obj=[21.96949842  1.78477636]]
   INFO - 01:01:46:      2%|▏         | 237/10000 [00:00<00:15, 618.50 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 238/10000 [00:00<00:15, 618.89 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 239/10000 [00:00<00:15, 619.27 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:46:      2%|▏         | 240/10000 [00:00<00:15, 618.54 it/sec, obj=[22.05454663  1.87197177]]
   INFO - 01:01:46:      2%|▏         | 241/10000 [00:00<00:15, 618.86 it/sec, obj=[21.97702557  1.79294964]]
   INFO - 01:01:47:      2%|▏         | 242/10000 [00:00<00:15, 619.14 it/sec, obj=[21.97024135  1.78558839]]
   INFO - 01:01:47:      2%|▏         | 243/10000 [00:00<00:15, 619.45 it/sec, obj=[21.9695726  1.7848575]]
   INFO - 01:01:47:      2%|▏         | 244/10000 [00:00<00:15, 619.75 it/sec, obj=[21.96950583  1.78478447]]
   INFO - 01:01:47:      2%|▏         | 245/10000 [00:00<00:15, 620.00 it/sec, obj=[21.96949915  1.78477717]]
   INFO - 01:01:47:      2%|▏         | 246/10000 [00:00<00:15, 620.32 it/sec, obj=[21.96949848  1.78477643]]
   INFO - 01:01:47:      2%|▏         | 247/10000 [00:00<00:15, 620.67 it/sec, obj=[21.96949842  1.78477636]]
   INFO - 01:01:47:      2%|▏         | 248/10000 [00:00<00:15, 620.78 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:47:      2%|▏         | 249/10000 [00:00<00:15, 621.00 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:47:      2%|▎         | 250/10000 [00:00<00:15, 621.19 it/sec, obj=[21.96949841  1.78477635]]
   INFO - 01:01:47:      3%|▎         | 251/10000 [00:00<00:15, 620.49 it/sec, obj=[22.05431215  1.87914499]]
   INFO - 01:01:47:      3%|▎         | 252/10000 [00:00<00:15, 620.76 it/sec, obj=[21.97690916  1.79359397]]
   INFO - 01:01:47:      3%|▎         | 253/10000 [00:00<00:15, 620.99 it/sec, obj=[21.97022878  1.78565214]]
   INFO - 01:01:47:      3%|▎         | 254/10000 [00:00<00:15, 621.31 it/sec, obj=[21.96957134  1.78486387]]
WARNING - 01:01:47: Optimization found no feasible point !  The least infeasible point is selected.
   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
WARNING - 01:01:47:       The solution is not feasible.
   INFO - 01:01:47:       Objective: -0.03492805470593496
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [0.00020164 0.00645396]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  1.158882982754278  | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.184528798349672  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.03492805470593496 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
WARNING - 01:01:47: No feasible optimum has been found for phi_beta = [22.94077327  2.28755351]
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [22.43097831  2.60943761]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  1.158882982754278  | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.184528798349672  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.03492805470593496 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      3%|▎         | 255/10000 [00:00<00:16, 599.07 it/sec, obj=[21.47712757  2.10858338]]
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   INFO - 01:01:47:      3%|▎         | 292/10000 [00:00<00:16, 603.42 it/sec, obj=[21.55998627  2.06100797]]
   INFO - 01:01:47:      3%|▎         | 293/10000 [00:00<00:16, 603.65 it/sec, obj=[21.56003661  2.06035264]]
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   INFO - 01:01:47:      3%|▎         | 295/10000 [00:00<00:16, 604.06 it/sec, obj=[21.56004217  2.06028058]]
   INFO - 01:01:47:      3%|▎         | 296/10000 [00:00<00:16, 604.24 it/sec, obj=[21.56004222  2.06027993]]
   INFO - 01:01:47:      3%|▎         | 297/10000 [00:00<00:16, 604.32 it/sec, obj=[21.56004223  2.06027986]]
   INFO - 01:01:47:      3%|▎         | 298/10000 [00:00<00:16, 604.44 it/sec, obj=[21.56004223  2.06027986]]
   INFO - 01:01:47:      3%|▎         | 299/10000 [00:00<00:16, 604.59 it/sec, obj=[21.56004223  2.06027985]]
   INFO - 01:01:47:      3%|▎         | 300/10000 [00:00<00:16, 604.76 it/sec, obj=[21.56004223  2.06027985]]
   INFO - 01:01:47:      3%|▎         | 301/10000 [00:00<00:16, 604.08 it/sec, obj=[21.55661092  2.13555679]]
   INFO - 01:01:47:      3%|▎         | 302/10000 [00:00<00:16, 604.21 it/sec, obj=[21.55950236  2.0675826 ]]
   INFO - 01:01:47:      3%|▎         | 303/10000 [00:00<00:16, 604.38 it/sec, obj=[21.55998627  2.06100791]]
WARNING - 01:01:47: Optimization found no feasible point !  The least infeasible point is selected.
   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
WARNING - 01:01:47:       The solution is not feasible.
   INFO - 01:01:47:       Objective: -0.03486951209708061
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [0.0001027  0.00081537]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  1.116795160377279  | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.147566025971696  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.03486951209708061 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
WARNING - 01:01:47: No feasible optimum has been found for phi_beta = [22.43097831  2.60943761]
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [21.92118335  2.9313217 ]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  1.116795160377279  | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.147566025971696  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.03486951209708061 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      3%|▎         | 304/10000 [00:00<00:16, 584.88 it/sec, obj=[21.02633231  2.45832411]]
   INFO - 01:01:47:      3%|▎         | 305/10000 [00:00<00:16, 584.24 it/sec, obj=[21.09551504  2.4048758 ]]
   INFO - 01:01:47:      3%|▎         | 306/10000 [00:00<00:16, 583.24 it/sec, obj=[21.09157362  2.41042657]]
   INFO - 01:01:47:      3%|▎         | 307/10000 [00:00<00:16, 582.21 it/sec, obj=[21.09359723  2.42595428]]
   INFO - 01:01:47:      3%|▎         | 308/10000 [00:00<00:16, 582.43 it/sec, obj=[21.09176802  2.41197089]]
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   INFO - 01:01:47:      3%|▎         | 342/10000 [00:00<00:16, 584.65 it/sec, obj=[21.09159287  2.41058792]]
   INFO - 01:01:47:      3%|▎         | 343/10000 [00:00<00:16, 584.72 it/sec, obj=[21.09157555  2.41044271]]
   INFO - 01:01:47:      3%|▎         | 344/10000 [00:00<00:16, 584.82 it/sec, obj=[21.09157381  2.41042819]]
   INFO - 01:01:47:      3%|▎         | 345/10000 [00:00<00:16, 584.93 it/sec, obj=[21.09157364  2.41042673]]
   INFO - 01:01:47:      3%|▎         | 346/10000 [00:00<00:16, 585.04 it/sec, obj=[21.09157362  2.41042659]]
   INFO - 01:01:47:      3%|▎         | 347/10000 [00:00<00:16, 585.12 it/sec, obj=[21.09157362  2.41042657]]
   INFO - 01:01:47:      3%|▎         | 348/10000 [00:00<00:16, 585.18 it/sec, obj=[21.09157362  2.41042657]]
   INFO - 01:01:47:      3%|▎         | 349/10000 [00:00<00:16, 585.22 it/sec, obj=[21.09157362  2.41042657]]
   INFO - 01:01:47:      4%|▎         | 350/10000 [00:00<00:16, 585.28 it/sec, obj=[21.09157362  2.41042657]]
   INFO - 01:01:47:      4%|▎         | 351/10000 [00:00<00:16, 584.48 it/sec, obj=[21.09359303  2.42666408]]
   INFO - 01:01:47:      4%|▎         | 352/10000 [00:00<00:16, 584.55 it/sec, obj=[21.09176693  2.41204112]]
   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
   INFO - 01:01:47:       The solution is feasible.
   INFO - 01:01:47:       Objective: -0.03305554383985526
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [ 5.76258689e-05 -5.08326588e-03]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  1.074706865472084  | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.119499704267622  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.03305554383985526 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [21.41138838  3.2532058 ]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  1.074706865472084  | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.119499704267622  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.03305554383985526 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      4%|▎         | 353/10000 [00:00<00:16, 569.94 it/sec, obj=[20.6045969   2.82720643]]
   INFO - 01:01:47:      4%|▎         | 354/10000 [00:00<00:16, 569.23 it/sec, obj=[20.66249675  2.76967802]]
   INFO - 01:01:47:      4%|▎         | 355/10000 [00:00<00:16, 568.23 it/sec, obj=[20.6549184   2.77285855]]
   INFO - 01:01:47:      4%|▎         | 356/10000 [00:00<00:16, 567.33 it/sec, obj=[20.6528165  2.7616309]]
   INFO - 01:01:47:      4%|▎         | 357/10000 [00:00<00:17, 566.50 it/sec, obj=[20.64385971  2.75665503]]
   INFO - 01:01:47:      4%|▎         | 358/10000 [00:00<00:17, 565.59 it/sec, obj=[20.63543629  2.76288108]]
   INFO - 01:01:47:      4%|▎         | 359/10000 [00:00<00:17, 564.68 it/sec, obj=[20.63515993  2.76490265]]
   INFO - 01:01:47:      4%|▎         | 360/10000 [00:00<00:17, 564.55 it/sec, obj=[20.63540625  2.76310018]]
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   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
   INFO - 01:01:47:       The solution is feasible.
   INFO - 01:01:47:       Objective: -0.03106467336337866
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [1.07482805e-06 3.59617989e-05]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  1.022660773241064  | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.110354396290455  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.03106467336337866 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [20.90159342  3.57508989]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  1.022660773241064  | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.110354396290455  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.03106467336337866 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      4%|▍         | 402/10000 [00:00<00:17, 539.39 it/sec, obj=[20.18393269  3.20103377]]
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   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
   INFO - 01:01:47:       The solution is feasible.
   INFO - 01:01:47:       Objective: -0.027790469244029486
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [ 6.37143059e-05 -1.54847368e-02]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  0.9694784972869636 | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.109666555984181  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.02779046924402949 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [20.39179846  3.89697399]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  0.9694784972869636 | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.109666555984181  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.02779046924402949 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      5%|▍         | 451/10000 [00:00<00:18, 525.28 it/sec, obj=[19.77312354  3.58820597]]
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   INFO - 01:01:47:      5%|▍         | 492/10000 [00:00<00:18, 519.94 it/sec, obj=[19.78646097  3.51496764]]
   INFO - 01:01:47:      5%|▍         | 493/10000 [00:00<00:18, 519.94 it/sec, obj=[19.78645999  3.51494608]]
   INFO - 01:01:47:      5%|▍         | 494/10000 [00:00<00:18, 520.00 it/sec, obj=[19.78645989  3.51494393]]
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   INFO - 01:01:47:      5%|▍         | 499/10000 [00:00<00:18, 520.08 it/sec, obj=[19.78645988  3.51494369]]
   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
   INFO - 01:01:47:       The solution is feasible.
   INFO - 01:01:47:       Objective: -0.02384257535180628
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [ 5.59538081e-05 -1.56544106e-02]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  0.9182182410763994 | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.108040278426651  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.02384257535180628 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [19.8820035   4.21885808]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  0.9182182410763994 | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.108040278426651  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.02384257535180628 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      5%|▌         | 500/10000 [00:00<00:18, 511.03 it/sec, obj=[19.38602692  3.98801093]]
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   INFO - 01:01:47:      5%|▌         | 541/10000 [00:01<00:18, 506.00 it/sec, obj=[19.39774802  3.91334804]]
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   INFO - 01:01:47:      5%|▌         | 543/10000 [00:01<00:18, 506.02 it/sec, obj=[19.39774673  3.91332422]]
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   INFO - 01:01:47:      5%|▌         | 546/10000 [00:01<00:18, 505.97 it/sec, obj=[19.39774671  3.91332398]]
   INFO - 01:01:47:      5%|▌         | 547/10000 [00:01<00:18, 505.99 it/sec, obj=[19.39774671  3.91332398]]
   INFO - 01:01:47:      5%|▌         | 548/10000 [00:01<00:18, 505.99 it/sec, obj=[19.39774671  3.91332398]]
   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
   INFO - 01:01:47:       The solution is feasible.
   INFO - 01:01:47:       Objective: -0.019008335163205423
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [ 5.08396460e-05 -1.59336477e-02]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  0.869162511345429  | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.106373299903344  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.01900833516320542 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [19.37220854  4.54074218]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  0.869162511345429  | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.106373299903344  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.01900833516320542 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      5%|▌         | 549/10000 [00:01<00:18, 497.87 it/sec, obj=[19.01733002  4.39977863]]
   INFO - 01:01:47:      6%|▌         | 550/10000 [00:01<00:19, 497.34 it/sec, obj=[19.06364498  4.33051689]]
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   INFO - 01:01:47:      6%|▌         | 590/10000 [00:01<00:19, 492.69 it/sec, obj=[19.02734153  4.32323883]]
   INFO - 01:01:47:      6%|▌         | 591/10000 [00:01<00:19, 492.67 it/sec, obj=[19.02734044  4.32321615]]
   INFO - 01:01:47:      6%|▌         | 592/10000 [00:01<00:19, 492.65 it/sec, obj=[19.02734033  4.32321388]]
   INFO - 01:01:47:      6%|▌         | 593/10000 [00:01<00:19, 492.64 it/sec, obj=[19.02734032  4.32321365]]
   INFO - 01:01:47:      6%|▌         | 594/10000 [00:01<00:19, 492.60 it/sec, obj=[19.02734031  4.32321363]]
   INFO - 01:01:47:      6%|▌         | 595/10000 [00:01<00:19, 492.55 it/sec, obj=[19.02734031  4.32321363]]
   INFO - 01:01:47:      6%|▌         | 596/10000 [00:01<00:19, 492.54 it/sec, obj=[19.02734031  4.32321363]]
   INFO - 01:01:47:      6%|▌         | 597/10000 [00:01<00:19, 492.51 it/sec, obj=[19.02734031  4.32321363]]
   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
   INFO - 01:01:47:       The solution is feasible.
   INFO - 01:01:47:       Objective: -0.013431977351371482
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [ 4.84833632e-05 -1.65232077e-02]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  0.8217918027494558 | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |   1.10490718870699  | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.01343197735137148 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [18.86241358  4.86262627]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  0.8217918027494558 | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |   1.10490718870699  | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.01343197735137148 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:47:      6%|▌         | 598/10000 [00:01<00:19, 485.02 it/sec, obj=[18.66401697  4.82161481]]
   INFO - 01:01:47:      6%|▌         | 599/10000 [00:01<00:19, 484.47 it/sec, obj=[18.70907709  4.74945201]]
   INFO - 01:01:47:      6%|▌         | 600/10000 [00:01<00:19, 483.82 it/sec, obj=[18.70006403  4.75294223]]
   INFO - 01:01:47:      6%|▌         | 601/10000 [00:01<00:19, 483.21 it/sec, obj=[18.69582553  4.73167304]]
   INFO - 01:01:47:      6%|▌         | 602/10000 [00:01<00:19, 482.56 it/sec, obj=[18.68175077  4.73111471]]
   INFO - 01:01:47:      6%|▌         | 603/10000 [00:01<00:19, 481.92 it/sec, obj=[18.67226187  4.74273079]]
   INFO - 01:01:47:      6%|▌         | 604/10000 [00:01<00:19, 481.33 it/sec, obj=[18.67234984  4.74555835]]
   INFO - 01:01:47:      6%|▌         | 605/10000 [00:01<00:19, 481.34 it/sec, obj=[18.67227058  4.74301342]]
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   INFO - 01:01:47:      6%|▋         | 639/10000 [00:01<00:19, 478.75 it/sec, obj=[18.67226274  4.74275801]]
   INFO - 01:01:47:      6%|▋         | 640/10000 [00:01<00:19, 478.72 it/sec, obj=[18.67226196  4.74273351]]
   INFO - 01:01:47:      6%|▋         | 641/10000 [00:01<00:19, 478.72 it/sec, obj=[18.67226188  4.74273106]]
   INFO - 01:01:47:      6%|▋         | 642/10000 [00:01<00:19, 478.70 it/sec, obj=[18.67226187  4.74273082]]
   INFO - 01:01:47:      6%|▋         | 643/10000 [00:01<00:19, 478.66 it/sec, obj=[18.67226187  4.74273079]]
   INFO - 01:01:47:      6%|▋         | 644/10000 [00:01<00:19, 478.67 it/sec, obj=[18.67226187  4.74273079]]
   INFO - 01:01:47:      6%|▋         | 645/10000 [00:01<00:19, 478.64 it/sec, obj=[18.67226187  4.74273079]]
   INFO - 01:01:47:      6%|▋         | 646/10000 [00:01<00:19, 478.63 it/sec, obj=[18.67226187  4.74273079]]
   INFO - 01:01:47: Optimization result:
   INFO - 01:01:47:    Optimizer info:
   INFO - 01:01:47:       Status: None
   INFO - 01:01:47:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:47:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:47:    Solution:
   INFO - 01:01:47:       The solution is feasible.
   INFO - 01:01:47:       Objective: -0.007234238774027523
   INFO - 01:01:47:       Standardized constraints:
   INFO - 01:01:47:          beta_sub_optim_constraint = [ 4.81362403e-05 -1.74108279e-02]
   INFO - 01:01:47:       Design space:
   INFO - 01:01:47:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:47:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:47:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:47:          | x    | -3.141592653589793 |  0.7756813943462906  | 3.141592653589793 | float |
   INFO - 01:01:47:          | y    | -3.141592653589793 |  1.103801505716712   | 3.141592653589793 | float |
   INFO - 01:01:47:          | t    |        -inf        | 0.007234238774027523 |        inf        | float |
   INFO - 01:01:47:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:47: Solving mNBI sub-problem for phi_beta = [18.35261861  5.18451037]
   INFO - 01:01:47: Optimization problem:
   INFO - 01:01:47:    minimize -t_extraction
   INFO - 01:01:47:    with respect to t, x, y
   INFO - 01:01:47:    subject to constraints:
   INFO - 01:01:47:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:47:    over the design space:
   INFO - 01:01:47:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:47:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:47:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:47:       | x    | -3.141592653589793 |  0.7756813943462906  | 3.141592653589793 | float |
   INFO - 01:01:47:       | y    | -3.141592653589793 |  1.103801505716712   | 3.141592653589793 | float |
   INFO - 01:01:47:       | t    |        -inf        | 0.007234238774027523 |        inf        | float |
   INFO - 01:01:47:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:47:      6%|▋         | 647/10000 [00:01<00:19, 471.69 it/sec, obj=[18.32362144  5.25195205]]
   INFO - 01:01:47:      6%|▋         | 648/10000 [00:01<00:19, 471.18 it/sec, obj=[18.36780717  5.17666812]]
   INFO - 01:01:47:      6%|▋         | 649/10000 [00:01<00:19, 470.51 it/sec, obj=[18.35855416  5.18054993]]
   INFO - 01:01:47:      6%|▋         | 650/10000 [00:01<00:19, 469.90 it/sec, obj=[18.35417742  5.15820441]]
   INFO - 01:01:47:      7%|▋         | 651/10000 [00:01<00:19, 469.30 it/sec, obj=[18.33981652  5.15779502]]
   INFO - 01:01:48:      7%|▋         | 652/10000 [00:01<00:19, 468.69 it/sec, obj=[18.33004888  5.17031249]]
   INFO - 01:01:48:      7%|▋         | 653/10000 [00:01<00:19, 468.12 it/sec, obj=[18.33007395  5.17346763]]
   INFO - 01:01:48:      7%|▋         | 654/10000 [00:01<00:19, 468.03 it/sec, obj=[18.3300513   5.17062786]]
   INFO - 01:01:48:      7%|▋         | 655/10000 [00:01<00:19, 468.04 it/sec, obj=[18.33004912  5.17034402]]
   INFO - 01:01:48:      7%|▋         | 656/10000 [00:01<00:19, 467.94 it/sec, obj=[18.3300489   5.17031564]]
   INFO - 01:01:48:      7%|▋         | 657/10000 [00:01<00:19, 467.84 it/sec, obj=[18.33004888  5.1703128 ]]
   INFO - 01:01:48: Optimization result:
   INFO - 01:01:48:    Optimizer info:
   INFO - 01:01:48:       Status: None
   INFO - 01:01:48:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:48:       Number of calls to the objective function by the optimizer: 14
   INFO - 01:01:48:    Solution:
   INFO - 01:01:48:       The solution is feasible.
   INFO - 01:01:48:       Objective: -0.0009035817791115461
   INFO - 01:01:48:       Standardized constraints:
   INFO - 01:01:48:          beta_sub_optim_constraint = [1.69595945e-06 5.37040866e-05]
   INFO - 01:01:48:       Design space:
   INFO - 01:01:48:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:          | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
   INFO - 01:01:48:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:          | x    | -3.141592653589793 |    0.72918014826682   | 3.141592653589793 | float |
   INFO - 01:01:48:          | y    | -3.141592653589793 |   1.103155795930865   | 3.141592653589793 | float |
   INFO - 01:01:48:          | t    |        -inf        | 0.0009035817791115461 |        inf        | float |
   INFO - 01:01:48:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48: Solving mNBI sub-problem for phi_beta = [17.84282365  5.50639446]
   INFO - 01:01:48: Optimization problem:
   INFO - 01:01:48:    minimize -t_extraction
   INFO - 01:01:48:    with respect to t, x, y
   INFO - 01:01:48:    subject to constraints:
   INFO - 01:01:48:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:48:    over the design space:
   INFO - 01:01:48:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:       | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
   INFO - 01:01:48:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:       | x    | -3.141592653589793 |    0.72918014826682   | 3.141592653589793 | float |
   INFO - 01:01:48:       | y    | -3.141592653589793 |   1.103155795930865   | 3.141592653589793 | float |
   INFO - 01:01:48:       | t    |        -inf        | 0.0009035817791115461 |        inf        | float |
   INFO - 01:01:48:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:      7%|▋         | 658/10000 [00:01<00:20, 460.91 it/sec, obj=[17.99434926  5.68685809]]
   INFO - 01:01:48:      7%|▋         | 659/10000 [00:01<00:20, 460.40 it/sec, obj=[18.03662255  5.61067627]]
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   INFO - 01:01:48:      7%|▋         | 661/10000 [00:01<00:20, 459.34 it/sec, obj=[18.02296511  5.59205356]]
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   INFO - 01:01:48:      7%|▋         | 680/10000 [00:01<00:20, 454.43 it/sec, obj=[17.99864526  5.60799724]]
   INFO - 01:01:48:      7%|▋         | 681/10000 [00:01<00:20, 454.32 it/sec, obj=[17.99865843  5.60508814]]
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   INFO - 01:01:48:      7%|▋         | 693/10000 [00:01<00:20, 452.00 it/sec, obj=[17.99865888  5.60509619]]
   INFO - 01:01:48:      7%|▋         | 694/10000 [00:01<00:20, 452.00 it/sec, obj=[17.99865983  5.60480687]]
   INFO - 01:01:48:      7%|▋         | 695/10000 [00:01<00:20, 451.84 it/sec, obj=[17.99865993  5.60477794]]
   INFO - 01:01:48:      7%|▋         | 696/10000 [00:01<00:20, 451.37 it/sec, obj=[17.99865178  5.60798851]]
   INFO - 01:01:48:      7%|▋         | 697/10000 [00:01<00:20, 451.26 it/sec, obj=[17.99865903  5.60509887]]
   INFO - 01:01:48:      7%|▋         | 698/10000 [00:01<00:20, 451.22 it/sec, obj=[17.99865984  5.60481004]]
   INFO - 01:01:48:      7%|▋         | 699/10000 [00:01<00:20, 451.12 it/sec, obj=[17.99865992  5.60478115]]
   INFO - 01:01:48:      7%|▋         | 700/10000 [00:01<00:20, 450.60 it/sec, obj=[17.9986534   5.60798633]]
   INFO - 01:01:48:      7%|▋         | 701/10000 [00:01<00:20, 450.49 it/sec, obj=[17.99865919  5.60510154]]
   INFO - 01:01:48:      7%|▋         | 702/10000 [00:01<00:20, 450.38 it/sec, obj=[17.99865985  5.60481319]]
   INFO - 01:01:48:      7%|▋         | 703/10000 [00:01<00:20, 450.24 it/sec, obj=[17.99865991  5.60478436]]
   INFO - 01:01:48:      7%|▋         | 704/10000 [00:01<00:20, 449.71 it/sec, obj=[17.99865502  5.60798416]]
   INFO - 01:01:48:      7%|▋         | 705/10000 [00:01<00:20, 449.58 it/sec, obj=[17.99865934  5.60510421]]
   INFO - 01:01:48:      7%|▋         | 706/10000 [00:01<00:20, 449.51 it/sec, obj=[17.99865986  5.60481634]]
   INFO - 01:01:48: Optimization result:
   INFO - 01:01:48:    Optimizer info:
   INFO - 01:01:48:       Status: None
   INFO - 01:01:48:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:48:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:48:    Solution:
   INFO - 01:01:48:       The solution is feasible.
   INFO - 01:01:48:       Objective: 0.0062383765398206755
   INFO - 01:01:48:       Standardized constraints:
   INFO - 01:01:48:          beta_sub_optim_constraint = [1.82156691e-06 6.08028803e-06]
   INFO - 01:01:48:       Design space:
   INFO - 01:01:48:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:          | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
   INFO - 01:01:48:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:          | x    | -3.141592653589793 |   0.6845291143984985  | 3.141592653589793 | float |
   INFO - 01:01:48:          | y    | -3.141592653589793 |   1.103070382411159   | 3.141592653589793 | float |
   INFO - 01:01:48:          | t    |        -inf        | -0.006238376539820675 |        inf        | float |
   INFO - 01:01:48:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48: Solving mNBI sub-problem for phi_beta = [17.33302869  5.82827855]
   INFO - 01:01:48: Optimization problem:
   INFO - 01:01:48:    minimize -t_extraction
   INFO - 01:01:48:    with respect to t, x, y
   INFO - 01:01:48:    subject to constraints:
   INFO - 01:01:48:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:48:    over the design space:
   INFO - 01:01:48:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:       | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
   INFO - 01:01:48:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:       | x    | -3.141592653589793 |   0.6845291143984985  | 3.141592653589793 | float |
   INFO - 01:01:48:       | y    | -3.141592653589793 |   1.103070382411159   | 3.141592653589793 | float |
   INFO - 01:01:48:       | t    |        -inf        | -0.006238376539820675 |        inf        | float |
   INFO - 01:01:48:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:48:      7%|▋         | 707/10000 [00:01<00:20, 443.76 it/sec, obj=[17.67384396  6.13020637]]
   INFO - 01:01:48:      7%|▋         | 708/10000 [00:01<00:20, 443.38 it/sec, obj=[17.71581018  6.05060437]]
   INFO - 01:01:48:      7%|▋         | 709/10000 [00:01<00:20, 442.90 it/sec, obj=[17.7061658   6.05523269]]
   INFO - 01:01:48:      7%|▋         | 710/10000 [00:01<00:20, 442.41 it/sec, obj=[17.70157564  6.03105643]]
   INFO - 01:01:48:      7%|▋         | 711/10000 [00:01<00:21, 441.90 it/sec, obj=[17.68678734  6.0300614 ]]
   INFO - 01:01:48:      7%|▋         | 712/10000 [00:01<00:21, 441.45 it/sec, obj=[17.67616196  6.04448762]]
   INFO - 01:01:48:      7%|▋         | 713/10000 [00:01<00:21, 440.93 it/sec, obj=[17.67593996  6.0486108 ]]
   INFO - 01:01:48:      7%|▋         | 714/10000 [00:01<00:21, 440.85 it/sec, obj=[17.67613966  6.04489975]]
   INFO - 01:01:48:      7%|▋         | 715/10000 [00:01<00:21, 440.33 it/sec, obj=[17.67612798  6.04836296]]
   INFO - 01:01:48:      7%|▋         | 716/10000 [00:01<00:21, 440.24 it/sec, obj=[17.6761384   6.04524594]]
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   INFO - 01:01:48:      7%|▋         | 720/10000 [00:01<00:21, 439.49 it/sec, obj=[17.67613857  6.04524371]]
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   INFO - 01:01:48:      7%|▋         | 725/10000 [00:01<00:21, 438.87 it/sec, obj=[17.67613954  6.04494061]]
   INFO - 01:01:48:      7%|▋         | 726/10000 [00:01<00:21, 438.79 it/sec, obj=[17.67613962  6.04491002]]
   INFO - 01:01:48:      7%|▋         | 727/10000 [00:01<00:21, 438.29 it/sec, obj=[17.67613304  6.04830486]]
   INFO - 01:01:48:      7%|▋         | 728/10000 [00:01<00:21, 438.20 it/sec, obj=[17.67613888  6.04524937]]
   INFO - 01:01:48:      7%|▋         | 729/10000 [00:01<00:21, 438.21 it/sec, obj=[17.67613955  6.04494395]]
   INFO - 01:01:48:      7%|▋         | 730/10000 [00:01<00:21, 438.12 it/sec, obj=[17.67613962  6.04491341]]
   INFO - 01:01:48:      7%|▋         | 731/10000 [00:01<00:21, 437.64 it/sec, obj=[17.67613471  6.04830254]]
   INFO - 01:01:48:      7%|▋         | 732/10000 [00:01<00:21, 437.55 it/sec, obj=[17.67613904  6.04525219]]
   INFO - 01:01:48:      7%|▋         | 733/10000 [00:01<00:21, 437.52 it/sec, obj=[17.67613956  6.04494729]]
   INFO - 01:01:48:      7%|▋         | 734/10000 [00:01<00:21, 437.41 it/sec, obj=[17.67613961  6.0449168 ]]
   INFO - 01:01:48:      7%|▋         | 735/10000 [00:01<00:21, 436.89 it/sec, obj=[17.67613638  6.04830022]]
   INFO - 01:01:48:      7%|▋         | 736/10000 [00:01<00:21, 436.80 it/sec, obj=[17.6761392   6.04525501]]
   INFO - 01:01:48:      7%|▋         | 737/10000 [00:01<00:21, 436.81 it/sec, obj=[17.67613957  6.04495062]]
   INFO - 01:01:48:      7%|▋         | 738/10000 [00:01<00:21, 436.74 it/sec, obj=[17.67613961  6.04492018]]
   INFO - 01:01:48: Optimization result:
   INFO - 01:01:48:    Optimizer info:
   INFO - 01:01:48:       Status: None
   INFO - 01:01:48:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:48:       Number of calls to the objective function by the optimizer: 35
   INFO - 01:01:48:    Solution:
   INFO - 01:01:48:       The solution is feasible.
   INFO - 01:01:48:       Objective: 0.013735364003237514
   INFO - 01:01:48:       Standardized constraints:
   INFO - 01:01:48:          beta_sub_optim_constraint = [2.08863927e-06 1.72517344e-05]
   INFO - 01:01:48:       Design space:
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | x    | -3.141592653589793 |  0.6401665080925247  | 3.141592653589793 | float |
   INFO - 01:01:48:          | y    | -3.141592653589793 |  1.103646197076718   | 3.141592653589793 | float |
   INFO - 01:01:48:          | t    |        -inf        | -0.01373536400323751 |        inf        | float |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48: Solving mNBI sub-problem for phi_beta = [16.82323373  6.15016265]
   INFO - 01:01:48: Optimization problem:
   INFO - 01:01:48:    minimize -t_extraction
   INFO - 01:01:48:    with respect to t, x, y
   INFO - 01:01:48:    subject to constraints:
   INFO - 01:01:48:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:48:    over the design space:
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | x    | -3.141592653589793 |  0.6401665080925247  | 3.141592653589793 | float |
   INFO - 01:01:48:       | y    | -3.141592653589793 |  1.103646197076718   | 3.141592653589793 | float |
   INFO - 01:01:48:       | t    |        -inf        | -0.01373536400323751 |        inf        | float |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:      7%|▋         | 739/10000 [00:01<00:21, 431.54 it/sec, obj=[17.36073212  6.57853985]]
   INFO - 01:01:48:      7%|▋         | 740/10000 [00:01<00:21, 431.17 it/sec, obj=[17.40265972  6.49523069]]
   INFO - 01:01:48:      7%|▋         | 741/10000 [00:01<00:21, 430.73 it/sec, obj=[17.39257704  6.50030673]]
   INFO - 01:01:48:      7%|▋         | 742/10000 [00:01<00:21, 430.28 it/sec, obj=[17.3877491   6.47468919]]
   INFO - 01:01:48:      7%|▋         | 743/10000 [00:01<00:21, 429.81 it/sec, obj=[17.37238354  6.47305763]]
   INFO - 01:01:48:      7%|▋         | 744/10000 [00:01<00:21, 429.35 it/sec, obj=[17.36094821  6.48882047]]
   INFO - 01:01:48:      7%|▋         | 745/10000 [00:01<00:21, 428.88 it/sec, obj=[17.36053482  6.49370304]]
   INFO - 01:01:48:      7%|▋         | 746/10000 [00:01<00:21, 428.81 it/sec, obj=[17.36090653  6.48931116]]
   INFO - 01:01:48:      7%|▋         | 747/10000 [00:01<00:21, 428.38 it/sec, obj=[17.36074171  6.49350104]]
   INFO - 01:01:48:      7%|▋         | 748/10000 [00:01<00:21, 428.30 it/sec, obj=[17.36088995  6.48972997]]
   INFO - 01:01:48:      7%|▋         | 749/10000 [00:01<00:21, 428.22 it/sec, obj=[17.36090346  6.48938856]]
   INFO - 01:01:48:      8%|▊         | 750/10000 [00:01<00:21, 427.75 it/sec, obj=[17.36077682  6.49339971]]
   INFO - 01:01:48:      8%|▊         | 751/10000 [00:01<00:21, 427.69 it/sec, obj=[17.3608907   6.48978951]]
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   INFO - 01:01:48:      8%|▊         | 757/10000 [00:01<00:21, 426.66 it/sec, obj=[17.36089224  6.48985539]]
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   INFO - 01:01:48:      8%|▊         | 761/10000 [00:01<00:21, 426.07 it/sec, obj=[17.36089952  6.48954486]]
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   INFO - 01:01:48:      8%|▊         | 763/10000 [00:01<00:21, 425.48 it/sec, obj=[17.3608944   6.48991939]]
   INFO - 01:01:48:      8%|▊         | 764/10000 [00:01<00:21, 425.45 it/sec, obj=[17.36089901  6.48958231]]
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   INFO - 01:01:48:      8%|▊         | 768/10000 [00:01<00:21, 424.39 it/sec, obj=[17.36088436  6.49324125]]
   INFO - 01:01:48:      8%|▊         | 769/10000 [00:01<00:21, 424.29 it/sec, obj=[17.36089716  6.48998121]]
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   INFO - 01:01:48:      8%|▊         | 776/10000 [00:01<00:21, 423.09 it/sec, obj=[17.36088782  6.49323172]]
   INFO - 01:01:48:      8%|▊         | 777/10000 [00:01<00:21, 423.01 it/sec, obj=[17.36089748  6.48998676]]
   INFO - 01:01:48:      8%|▊         | 778/10000 [00:01<00:21, 423.01 it/sec, obj=[17.36089853  6.4896624 ]]
   INFO - 01:01:48:      8%|▊         | 779/10000 [00:01<00:21, 422.93 it/sec, obj=[17.36089864  6.48962997]]
   INFO - 01:01:48:      8%|▊         | 780/10000 [00:01<00:21, 422.42 it/sec, obj=[17.36088955  6.49322925]]
   INFO - 01:01:48:      8%|▊         | 781/10000 [00:01<00:21, 422.31 it/sec, obj=[17.36089764  6.48998976]]
   INFO - 01:01:48:      8%|▊         | 782/10000 [00:01<00:21, 422.31 it/sec, obj=[17.36089854  6.48966595]]
   INFO - 01:01:48:      8%|▊         | 783/10000 [00:01<00:21, 422.22 it/sec, obj=[17.36089863  6.48963357]]
   INFO - 01:01:48:      8%|▊         | 784/10000 [00:01<00:21, 421.71 it/sec, obj=[17.36089127  6.49322678]]
   INFO - 01:01:48:      8%|▊         | 785/10000 [00:01<00:21, 421.64 it/sec, obj=[17.36089781  6.48999275]]
   INFO - 01:01:48:      8%|▊         | 786/10000 [00:01<00:21, 421.60 it/sec, obj=[17.36089854  6.48966948]]
   INFO - 01:01:48:      8%|▊         | 787/10000 [00:01<00:21, 421.48 it/sec, obj=[17.36089862  6.48963716]]
   INFO - 01:01:48: Optimization result:
   INFO - 01:01:48:    Optimizer info:
   INFO - 01:01:48:       Status: None
   INFO - 01:01:48:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:48:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:48:    Solution:
   INFO - 01:01:48:       The solution is feasible.
   INFO - 01:01:48:       Objective: 0.021523411179742453
   INFO - 01:01:48:       Standardized constraints:
   INFO - 01:01:48:          beta_sub_optim_constraint = [2.41310665e-06 9.31739372e-05]
   INFO - 01:01:48:       Design space:
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | x    | -3.141592653589793 |  0.5958512486356334  | 3.141592653589793 | float |
   INFO - 01:01:48:          | y    | -3.141592653589793 |  1.104933192067993   | 3.141592653589793 | float |
   INFO - 01:01:48:          | t    |        -inf        | -0.02152341117974245 |        inf        | float |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48: Solving mNBI sub-problem for phi_beta = [16.31343877  6.47204674]
   INFO - 01:01:48: Optimization problem:
   INFO - 01:01:48:    minimize -t_extraction
   INFO - 01:01:48:    with respect to t, x, y
   INFO - 01:01:48:    subject to constraints:
   INFO - 01:01:48:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:48:    over the design space:
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | x    | -3.141592653589793 |  0.5958512486356334  | 3.141592653589793 | float |
   INFO - 01:01:48:       | y    | -3.141592653589793 |  1.104933192067993   | 3.141592653589793 | float |
   INFO - 01:01:48:       | t    |        -inf        | -0.02152341117974245 |        inf        | float |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:      8%|▊         | 788/10000 [00:01<00:22, 416.60 it/sec, obj=[17.05358529  7.03096101]]
   INFO - 01:01:48:      8%|▊         | 789/10000 [00:01<00:22, 416.19 it/sec, obj=[17.09572771  6.94360944]]
   INFO - 01:01:48:      8%|▊         | 790/10000 [00:01<00:22, 415.79 it/sec, obj=[17.08511839  6.9491705 ]]
   INFO - 01:01:48:      8%|▊         | 791/10000 [00:01<00:22, 415.39 it/sec, obj=[17.0800086  6.9219358]]
   INFO - 01:01:48:      8%|▊         | 792/10000 [00:01<00:22, 414.96 it/sec, obj=[17.06394272  6.91931201]]
   INFO - 01:01:48:      8%|▊         | 793/10000 [00:01<00:22, 414.58 it/sec, obj=[17.05146723  6.93660009]]
   INFO - 01:01:48:      8%|▊         | 794/10000 [00:01<00:22, 414.19 it/sec, obj=[17.05078907  6.94245306]]
   INFO - 01:01:48:      8%|▊         | 795/10000 [00:01<00:22, 414.10 it/sec, obj=[17.05136579  6.93747351]]
   INFO - 01:01:48:      8%|▊         | 796/10000 [00:01<00:22, 413.68 it/sec, obj=[17.05112824  6.94223565]]
   INFO - 01:01:48:      8%|▊         | 797/10000 [00:01<00:22, 413.60 it/sec, obj=[17.05134193  6.93794951]]
   INFO - 01:01:48:      8%|▊         | 798/10000 [00:01<00:22, 413.13 it/sec, obj=[17.05133525  6.94188399]]
   INFO - 01:01:48:      8%|▊         | 799/10000 [00:01<00:22, 413.06 it/sec, obj=[17.05134117  6.93834281]]
   INFO - 01:01:48:      8%|▊         | 800/10000 [00:01<00:22, 413.00 it/sec, obj=[17.05134185  6.93798884]]
   INFO - 01:01:48:      8%|▊         | 801/10000 [00:01<00:22, 412.91 it/sec, obj=[17.05134192  6.93795345]]
   INFO - 01:01:48:      8%|▊         | 802/10000 [00:01<00:22, 412.44 it/sec, obj=[17.05133712  6.94182092]]
   INFO - 01:01:48:      8%|▊         | 803/10000 [00:01<00:22, 412.36 it/sec, obj=[17.05134135  6.93834005]]
   INFO - 01:01:48:      8%|▊         | 804/10000 [00:01<00:22, 412.34 it/sec, obj=[17.05134186  6.93799211]]
   INFO - 01:01:48:      8%|▊         | 805/10000 [00:01<00:22, 412.23 it/sec, obj=[17.05134191  6.93795731]]
   INFO - 01:01:48: Optimization result:
   INFO - 01:01:48:    Optimizer info:
   INFO - 01:01:48:       Status: None
   INFO - 01:01:48:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:48:       Number of calls to the objective function by the optimizer: 21
   INFO - 01:01:48:    Solution:
   INFO - 01:01:48:       The solution is feasible.
   INFO - 01:01:48:       Objective: 0.029539690922855077
   INFO - 01:01:48:       Standardized constraints:
   INFO - 01:01:48:          beta_sub_optim_constraint = [2.98645685e-06 3.26203833e-05]
   INFO - 01:01:48:       Design space:
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | x    | -3.141592653589793 |  0.5512783178690076  | 3.141592653589793 | float |
   INFO - 01:01:48:          | y    | -3.141592653589793 |  1.107074787088362   | 3.141592653589793 | float |
   INFO - 01:01:48:          | t    |        -inf        | -0.02953969092285508 |        inf        | float |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48: Solving mNBI sub-problem for phi_beta = [15.80364381  6.79393084]
   INFO - 01:01:48: Optimization problem:
   INFO - 01:01:48:    minimize -t_extraction
   INFO - 01:01:48:    with respect to t, x, y
   INFO - 01:01:48:    subject to constraints:
   INFO - 01:01:48:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:48:    over the design space:
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | x    | -3.141592653589793 |  0.5512783178690076  | 3.141592653589793 | float |
   INFO - 01:01:48:       | y    | -3.141592653589793 |  1.107074787088362   | 3.141592653589793 | float |
   INFO - 01:01:48:       | t    |        -inf        | -0.02953969092285508 |        inf        | float |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:      8%|▊         | 806/10000 [00:01<00:22, 407.82 it/sec, obj=[16.75084733  7.4865978 ]]
   INFO - 01:01:48:      8%|▊         | 807/10000 [00:01<00:22, 407.46 it/sec, obj=[16.79350047  7.39476575]]
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   INFO - 01:01:48:      8%|▊         | 818/10000 [00:02<00:22, 404.38 it/sec, obj=[16.74596604  7.38886339]]
   INFO - 01:01:48:      8%|▊         | 819/10000 [00:02<00:22, 403.97 it/sec, obj=[16.74594069  7.39315026]]
   INFO - 01:01:48:      8%|▊         | 820/10000 [00:02<00:22, 403.92 it/sec, obj=[16.74596341  7.38929191]]
   INFO - 01:01:48:      8%|▊         | 821/10000 [00:02<00:22, 403.92 it/sec, obj=[16.74596577  7.38890624]]
   INFO - 01:01:48:      8%|▊         | 822/10000 [00:02<00:22, 403.52 it/sec, obj=[16.74596027  7.39312116]]
   INFO - 01:01:48:      8%|▊         | 823/10000 [00:02<00:22, 403.46 it/sec, obj=[16.74596513  7.38932757]]
   INFO - 01:01:48:      8%|▊         | 824/10000 [00:02<00:22, 403.45 it/sec, obj=[16.74596571  7.38894837]]
   INFO - 01:01:48:      8%|▊         | 825/10000 [00:02<00:22, 403.39 it/sec, obj=[16.74596577  7.38891045]]
   INFO - 01:01:48: Optimization result:
   INFO - 01:01:48:    Optimizer info:
   INFO - 01:01:48:       Status: None
   INFO - 01:01:48:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:48:       Number of calls to the objective function by the optimizer: 23
   INFO - 01:01:48:    Solution:
   INFO - 01:01:48:       The solution is feasible.
   INFO - 01:01:48:       Objective: 0.037722975310157315
   INFO - 01:01:48:       Standardized constraints:
   INFO - 01:01:48:          beta_sub_optim_constraint = [3.74685509e-06 3.86679289e-05]
   INFO - 01:01:48:       Design space:
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | x    | -3.141592653589793 |  0.5061796918898194  | 3.141592653589793 | float |
   INFO - 01:01:48:          | y    | -3.141592653589793 |  1.110134990166551   | 3.141592653589793 | float |
   INFO - 01:01:48:          | t    |        -inf        | -0.03772297531015732 |        inf        | float |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48: Solving mNBI sub-problem for phi_beta = [15.29384885  7.11581493]
   INFO - 01:01:48: Optimization problem:
   INFO - 01:01:48:    minimize -t_extraction
   INFO - 01:01:48:    with respect to t, x, y
   INFO - 01:01:48:    subject to constraints:
   INFO - 01:01:48:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:48:    over the design space:
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | x    | -3.141592653589793 |  0.5061796918898194  | 3.141592653589793 | float |
   INFO - 01:01:48:       | y    | -3.141592653589793 |  1.110134990166551   | 3.141592653589793 | float |
   INFO - 01:01:48:       | t    |        -inf        | -0.03772297531015732 |        inf        | float |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:      8%|▊         | 826/10000 [00:02<00:22, 399.37 it/sec, obj=[16.4511722  7.9445902]]
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   INFO - 01:01:48:      9%|▊         | 866/10000 [00:02<00:23, 392.44 it/sec, obj=[16.44316634  7.8414839 ]]
   INFO - 01:01:48:      9%|▊         | 867/10000 [00:02<00:23, 392.05 it/sec, obj=[16.44315901  7.84619387]]
   INFO - 01:01:48:      9%|▊         | 868/10000 [00:02<00:23, 392.00 it/sec, obj=[16.4431655   7.84195471]]
   INFO - 01:01:48:      9%|▊         | 869/10000 [00:02<00:23, 391.99 it/sec, obj=[16.44316625  7.84153098]]
   INFO - 01:01:48:      9%|▊         | 870/10000 [00:02<00:23, 391.94 it/sec, obj=[16.44316633  7.84148861]]
   INFO - 01:01:48:      9%|▊         | 871/10000 [00:02<00:23, 391.58 it/sec, obj=[16.44316115  7.84619067]]
   INFO - 01:01:48:      9%|▊         | 872/10000 [00:02<00:23, 391.52 it/sec, obj=[16.4431657   7.84195863]]
   INFO - 01:01:48:      9%|▊         | 873/10000 [00:02<00:23, 391.51 it/sec, obj=[16.44316627  7.84153561]]
   INFO - 01:01:48:      9%|▊         | 874/10000 [00:02<00:23, 391.46 it/sec, obj=[16.44316632  7.84149331]]
   INFO - 01:01:48: Optimization result:
   INFO - 01:01:48:    Optimizer info:
   INFO - 01:01:48:       Status: None
   INFO - 01:01:48:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:48:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:48:    Solution:
   INFO - 01:01:48:       The solution is feasible.
   INFO - 01:01:48:       Objective: 0.04600939289217488
   INFO - 01:01:48:       Standardized constraints:
   INFO - 01:01:48:          beta_sub_optim_constraint = [4.89929117e-06 8.58265980e-06]
   INFO - 01:01:48:       Design space:
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:          | x    | -3.141592653589793 |  0.4601957453719552  | 3.141592653589793 | float |
   INFO - 01:01:48:          | y    | -3.141592653589793 |  1.114287498392252   | 3.141592653589793 | float |
   INFO - 01:01:48:          | t    |        -inf        | -0.04600939289217488 |        inf        | float |
   INFO - 01:01:48:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48: Solving mNBI sub-problem for phi_beta = [14.78405388  7.43769903]
   INFO - 01:01:48: Optimization problem:
   INFO - 01:01:48:    minimize -t_extraction
   INFO - 01:01:48:    with respect to t, x, y
   INFO - 01:01:48:    subject to constraints:
   INFO - 01:01:48:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:48:    over the design space:
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:       | x    | -3.141592653589793 |  0.4601957453719552  | 3.141592653589793 | float |
   INFO - 01:01:48:       | y    | -3.141592653589793 |  1.114287498392252   | 3.141592653589793 | float |
   INFO - 01:01:48:       | t    |        -inf        | -0.04600939289217488 |        inf        | float |
   INFO - 01:01:48:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:48:      9%|▉         | 875/10000 [00:02<00:23, 387.69 it/sec, obj=[16.15294781  8.40404207]]
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   INFO - 01:01:49: Optimization result:
   INFO - 01:01:49:    Optimizer info:
   INFO - 01:01:49:       Status: None
   INFO - 01:01:49:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:49:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:49:    Solution:
   INFO - 01:01:49:       The solution is feasible.
   INFO - 01:01:49:       Objective: 0.054327988265171615
   INFO - 01:01:49:       Standardized constraints:
   INFO - 01:01:49:          beta_sub_optim_constraint = [6.38745305e-06 1.53194358e-05]
   INFO - 01:01:49:       Design space:
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | x    | -3.141592653589793 |  0.4129050843954137  | 3.141592653589793 | float |
   INFO - 01:01:49:          | y    | -3.141592653589793 |  1.119728698700339   | 3.141592653589793 | float |
   INFO - 01:01:49:          | t    |        -inf        | -0.05432798826517161 |        inf        | float |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49: Solving mNBI sub-problem for phi_beta = [14.27425892  7.75958312]
   INFO - 01:01:49: Optimization problem:
   INFO - 01:01:49:    minimize -t_extraction
   INFO - 01:01:49:    with respect to t, x, y
   INFO - 01:01:49:    subject to constraints:
   INFO - 01:01:49:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:49:    over the design space:
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | x    | -3.141592653589793 |  0.4129050843954137  | 3.141592653589793 | float |
   INFO - 01:01:49:       | y    | -3.141592653589793 |  1.119728698700339   | 3.141592653589793 | float |
   INFO - 01:01:49:       | t    |        -inf        | -0.05432798826517161 |        inf        | float |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:      9%|▉         | 924/10000 [00:02<00:24, 376.58 it/sec, obj=[15.8544266   8.86395874]]
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   INFO - 01:01:49:     10%|▉         | 966/10000 [00:02<00:24, 373.12 it/sec, obj=[15.83636397  8.75141497]]
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   INFO - 01:01:49: Optimization result:
   INFO - 01:01:49:    Optimizer info:
   INFO - 01:01:49:       Status: None
   INFO - 01:01:49:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:49:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:49:    Solution:
   INFO - 01:01:49:       The solution is feasible.
   INFO - 01:01:49:       Objective: 0.06266889002813054
   INFO - 01:01:49:       Standardized constraints:
   INFO - 01:01:49:          beta_sub_optim_constraint = [ 1.72742633e-05 -7.63522092e-03]
   INFO - 01:01:49:       Design space:
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | x    | -3.141592653589793 |  0.3636115390854115  | 3.141592653589793 | float |
   INFO - 01:01:49:          | y    | -3.141592653589793 |  1.127406765425707   | 3.141592653589793 | float |
   INFO - 01:01:49:          | t    |        -inf        | -0.06266889002813054 |        inf        | float |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49: Solving mNBI sub-problem for phi_beta = [13.76446396  8.08146722]
   INFO - 01:01:49: Optimization problem:
   INFO - 01:01:49:    minimize -t_extraction
   INFO - 01:01:49:    with respect to t, x, y
   INFO - 01:01:49:    subject to constraints:
   INFO - 01:01:49:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:49:    over the design space:
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | x    | -3.141592653589793 |  0.3636115390854115  | 3.141592653589793 | float |
   INFO - 01:01:49:       | y    | -3.141592653589793 |  1.127406765425707   | 3.141592653589793 | float |
   INFO - 01:01:49:       | t    |        -inf        | -0.06266889002813054 |        inf        | float |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:     10%|▉         | 973/10000 [00:02<00:24, 369.98 it/sec, obj=[15.55174521  9.32412258]]
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   INFO - 01:01:49:     10%|█         | 1015/10000 [00:02<00:24, 366.35 it/sec, obj=[15.52933473  9.20278528]]
   INFO - 01:01:49:     10%|█         | 1016/10000 [00:02<00:24, 366.33 it/sec, obj=[15.52930697  9.20277643]]
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   INFO - 01:01:49:     10%|█         | 1019/10000 [00:02<00:24, 366.25 it/sec, obj=[15.52930389  9.20277545]]
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   INFO - 01:01:49:     10%|█         | 1021/10000 [00:02<00:24, 366.20 it/sec, obj=[15.52930389  9.20277545]]
   INFO - 01:01:49: Optimization result:
   INFO - 01:01:49:    Optimizer info:
   INFO - 01:01:49:       Status: None
   INFO - 01:01:49:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:49:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:49:    Solution:
   INFO - 01:01:49:       The solution is feasible.
   INFO - 01:01:49:       Objective: 0.07085049841491922
   INFO - 01:01:49:       Standardized constraints:
   INFO - 01:01:49:          beta_sub_optim_constraint = [ 2.79110959e-05 -1.13249532e-02]
   INFO - 01:01:49:       Design space:
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | x    | -3.141592653589793 |  0.3121439056117678  | 3.141592653589793 | float |
   INFO - 01:01:49:          | y    | -3.141592653589793 |  1.136360631818128   | 3.141592653589793 | float |
   INFO - 01:01:49:          | t    |        -inf        | -0.07085049841491922 |        inf        | float |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49: Solving mNBI sub-problem for phi_beta = [13.254669    8.40335131]
   INFO - 01:01:49: Optimization problem:
   INFO - 01:01:49:    minimize -t_extraction
   INFO - 01:01:49:    with respect to t, x, y
   INFO - 01:01:49:    subject to constraints:
   INFO - 01:01:49:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:49:    over the design space:
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | x    | -3.141592653589793 |  0.3121439056117678  | 3.141592653589793 | float |
   INFO - 01:01:49:       | y    | -3.141592653589793 |  1.136360631818128   | 3.141592653589793 | float |
   INFO - 01:01:49:       | t    |        -inf        | -0.07085049841491922 |        inf        | float |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:     10%|█         | 1022/10000 [00:02<00:24, 363.16 it/sec, obj=[15.24567353  9.78202146]]
   INFO - 01:01:49:     10%|█         | 1023/10000 [00:02<00:24, 362.86 it/sec, obj=[15.29782308  9.65481946]]
   INFO - 01:01:49:     10%|█         | 1024/10000 [00:02<00:24, 362.53 it/sec, obj=[15.28071899  9.66822616]]
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   INFO - 01:01:49:     11%|█         | 1066/10000 [00:02<00:24, 359.32 it/sec, obj=[15.21512017  9.65041621]]
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   INFO - 01:01:49:     11%|█         | 1068/10000 [00:02<00:24, 359.27 it/sec, obj=[15.21511976  9.65041614]]
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   INFO - 01:01:49:     11%|█         | 1070/10000 [00:02<00:24, 359.24 it/sec, obj=[15.21511976  9.65041614]]
   INFO - 01:01:49: Optimization result:
   INFO - 01:01:49:    Optimizer info:
   INFO - 01:01:49:       Status: None
   INFO - 01:01:49:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:49:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:49:    Solution:
   INFO - 01:01:49:       The solution is feasible.
   INFO - 01:01:49:       Objective: 0.0787817603263474
   INFO - 01:01:49:       Standardized constraints:
   INFO - 01:01:49:          beta_sub_optim_constraint = [ 4.79617952e-05 -1.69828218e-02]
   INFO - 01:01:49:       Design space:
   INFO - 01:01:49:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:49:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:49:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:49:          | x    | -3.141592653589793 |  0.2572319058560046 | 3.141592653589793 | float |
   INFO - 01:01:49:          | y    | -3.141592653589793 |  1.147817951317796  | 3.141592653589793 | float |
   INFO - 01:01:49:          | t    |        -inf        | -0.0787817603263474 |        inf        | float |
   INFO - 01:01:49:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:49: Solving mNBI sub-problem for phi_beta = [12.74487404  8.72523541]
   INFO - 01:01:49: Optimization problem:
   INFO - 01:01:49:    minimize -t_extraction
   INFO - 01:01:49:    with respect to t, x, y
   INFO - 01:01:49:    subject to constraints:
   INFO - 01:01:49:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:49:    over the design space:
   INFO - 01:01:49:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:49:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:49:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:49:       | x    | -3.141592653589793 |  0.2572319058560046 | 3.141592653589793 | float |
   INFO - 01:01:49:       | y    | -3.141592653589793 |  1.147817951317796  | 3.141592653589793 | float |
   INFO - 01:01:49:       | t    |        -inf        | -0.0787817603263474 |        inf        | float |
   INFO - 01:01:49:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:49:     11%|█         | 1071/10000 [00:03<00:25, 356.54 it/sec, obj=[14.93087464 10.23639039]]
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   INFO - 01:01:49:     11%|█         | 1112/10000 [00:03<00:25, 352.96 it/sec, obj=[14.88938845 10.09041971]]
   INFO - 01:01:49:     11%|█         | 1113/10000 [00:03<00:25, 352.93 it/sec, obj=[14.88893601 10.09025016]]
   INFO - 01:01:49:     11%|█         | 1114/10000 [00:03<00:25, 352.91 it/sec, obj=[14.88889077 10.0902332 ]]
   INFO - 01:01:49:     11%|█         | 1115/10000 [00:03<00:25, 352.88 it/sec, obj=[14.88888625 10.0902315 ]]
   INFO - 01:01:49:     11%|█         | 1116/10000 [00:03<00:25, 352.84 it/sec, obj=[14.8888858  10.09023133]]
   INFO - 01:01:49:     11%|█         | 1117/10000 [00:03<00:25, 352.81 it/sec, obj=[14.88888575 10.09023132]]
   INFO - 01:01:49:     11%|█         | 1118/10000 [00:03<00:25, 352.80 it/sec, obj=[14.88888575 10.09023132]]
   INFO - 01:01:49:     11%|█         | 1119/10000 [00:03<00:25, 352.78 it/sec, obj=[14.88888575 10.09023131]]
   INFO - 01:01:49: Optimization result:
   INFO - 01:01:49:    Optimizer info:
   INFO - 01:01:49:       Status: None
   INFO - 01:01:49:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:49:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:49:    Solution:
   INFO - 01:01:49:       The solution is feasible.
   INFO - 01:01:49:       Objective: 0.08629410935760148
   INFO - 01:01:49:       Standardized constraints:
   INFO - 01:01:49:          beta_sub_optim_constraint = [ 8.83056864e-05 -2.60251277e-02]
   INFO - 01:01:49:       Design space:
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | x    | -3.141592653589793 |  0.1974426398740056  | 3.141592653589793 | float |
   INFO - 01:01:49:          | y    | -3.141592653589793 |  1.162624728009152   | 3.141592653589793 | float |
   INFO - 01:01:49:          | t    |        -inf        | -0.08629410935760148 |        inf        | float |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49: Solving mNBI sub-problem for phi_beta = [12.23507908  9.0471195 ]
   INFO - 01:01:49: Optimization problem:
   INFO - 01:01:49:    minimize -t_extraction
   INFO - 01:01:49:    with respect to t, x, y
   INFO - 01:01:49:    subject to constraints:
   INFO - 01:01:49:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:49:    over the design space:
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:       | x    | -3.141592653589793 |  0.1974426398740056  | 3.141592653589793 | float |
   INFO - 01:01:49:       | y    | -3.141592653589793 |  1.162624728009152   | 3.141592653589793 | float |
   INFO - 01:01:49:       | t    |        -inf        | -0.08629410935760148 |        inf        | float |
   INFO - 01:01:49:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:     11%|█         | 1120/10000 [00:03<00:25, 350.23 it/sec, obj=[14.60197923 10.68484973]]
   INFO - 01:01:49:     11%|█         | 1121/10000 [00:03<00:25, 349.94 it/sec, obj=[14.66429366 10.52995626]]
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   INFO - 01:01:49:     11%|█▏        | 1125/10000 [00:03<00:25, 348.82 it/sec, obj=[14.56121447 10.4741727 ]]
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   INFO - 01:01:49:     11%|█▏        | 1139/10000 [00:03<00:25, 347.81 it/sec, obj=[14.54269544 10.51598564]]
   INFO - 01:01:49:     11%|█▏        | 1140/10000 [00:03<00:25, 347.78 it/sec, obj=[14.54222092 10.51547941]]
   INFO - 01:01:49:     11%|█▏        | 1141/10000 [00:03<00:25, 347.75 it/sec, obj=[14.54217348 10.51542878]]
   INFO - 01:01:49:     11%|█▏        | 1142/10000 [00:03<00:25, 347.73 it/sec, obj=[14.54216874 10.51542372]]
   INFO - 01:01:49:     11%|█▏        | 1143/10000 [00:03<00:25, 347.71 it/sec, obj=[14.54216826 10.51542321]]
   INFO - 01:01:49:     11%|█▏        | 1144/10000 [00:03<00:25, 347.69 it/sec, obj=[14.54216822 10.51542316]]
   INFO - 01:01:49:     11%|█▏        | 1145/10000 [00:03<00:25, 347.65 it/sec, obj=[14.54216821 10.51542316]]
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   INFO - 01:01:49:     11%|█▏        | 1149/10000 [00:03<00:25, 347.32 it/sec, obj=[14.54744916 10.52213459]]
   INFO - 01:01:49:     12%|█▏        | 1150/10000 [00:03<00:25, 347.29 it/sec, obj=[14.54269527 10.51609516]]
   INFO - 01:01:49:     12%|█▏        | 1151/10000 [00:03<00:25, 347.26 it/sec, obj=[14.54222091 10.51549037]]
   INFO - 01:01:49:     12%|█▏        | 1152/10000 [00:03<00:25, 347.23 it/sec, obj=[14.54217348 10.51542988]]
   INFO - 01:01:49:     12%|█▏        | 1153/10000 [00:03<00:25, 347.16 it/sec, obj=[14.54216874 10.51542383]]
   INFO - 01:01:49:     12%|█▏        | 1154/10000 [00:03<00:25, 347.14 it/sec, obj=[14.54216826 10.51542322]]
   INFO - 01:01:49:     12%|█▏        | 1155/10000 [00:03<00:25, 347.13 it/sec, obj=[14.54216822 10.51542316]]
   INFO - 01:01:49:     12%|█▏        | 1156/10000 [00:03<00:25, 347.08 it/sec, obj=[14.54216821 10.51542316]]
   INFO - 01:01:49:     12%|█▏        | 1157/10000 [00:03<00:25, 347.05 it/sec, obj=[14.54216821 10.51542316]]
   INFO - 01:01:49:     12%|█▏        | 1158/10000 [00:03<00:25, 346.98 it/sec, obj=[14.54216821 10.51542316]]
   INFO - 01:01:49:     12%|█▏        | 1159/10000 [00:03<00:25, 346.93 it/sec, obj=[14.54216821 10.51542316]]
   INFO - 01:01:49:     12%|█▏        | 1160/10000 [00:03<00:25, 346.64 it/sec, obj=[14.54744905 10.52247974]]
   INFO - 01:01:49:     12%|█▏        | 1161/10000 [00:03<00:25, 346.61 it/sec, obj=[14.54269522 10.51612967]]
   INFO - 01:01:49:     12%|█▏        | 1162/10000 [00:03<00:25, 346.58 it/sec, obj=[14.5422209  10.51549382]]
   INFO - 01:01:49:     12%|█▏        | 1163/10000 [00:03<00:25, 346.54 it/sec, obj=[14.54217348 10.51543022]]
   INFO - 01:01:49:     12%|█▏        | 1164/10000 [00:03<00:25, 346.51 it/sec, obj=[14.54216874 10.51542386]]
   INFO - 01:01:49:     12%|█▏        | 1165/10000 [00:03<00:25, 346.46 it/sec, obj=[14.54216826 10.51542323]]
   INFO - 01:01:49:     12%|█▏        | 1166/10000 [00:03<00:25, 346.43 it/sec, obj=[14.54216822 10.51542316]]
   INFO - 01:01:49:     12%|█▏        | 1167/10000 [00:03<00:25, 346.40 it/sec, obj=[14.54216821 10.51542316]]
   INFO - 01:01:49:     12%|█▏        | 1168/10000 [00:03<00:25, 346.37 it/sec, obj=[14.54216821 10.51542316]]
   INFO - 01:01:49: Optimization result:
   INFO - 01:01:49:    Optimizer info:
   INFO - 01:01:49:       Status: None
   INFO - 01:01:49:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:49:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:49:    Solution:
   INFO - 01:01:49:       The solution is feasible.
   INFO - 01:01:49:       Objective: 0.09632683931017857
   INFO - 01:01:49:       Standardized constraints:
   INFO - 01:01:49:          beta_sub_optim_constraint = [ 3.27461317e-05 -1.49767571e-02]
   INFO - 01:01:49:       Design space:
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49:          | x    | -3.141592653589793 |  0.1646630534671112  | 3.141592653589793 | float |
   INFO - 01:01:49:          | y    | -3.141592653589793 |  1.150874127012663   | 3.141592653589793 | float |
   INFO - 01:01:49:          | t    |        -inf        | -0.09632683931017857 |        inf        | float |
   INFO - 01:01:49:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:49: Solving mNBI sub-problem for phi_beta = [11.72528411  9.3690036 ]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  0.1646630534671112  | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 |  1.150874127012663   | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        | -0.09632683931017857 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:     12%|█▏        | 1169/10000 [00:03<00:25, 343.88 it/sec, obj=[14.35075547 11.14980447]]
   INFO - 01:01:50:     12%|█▏        | 1170/10000 [00:03<00:25, 343.62 it/sec, obj=[14.40264572 10.99318335]]
   INFO - 01:01:50:     12%|█▏        | 1171/10000 [00:03<00:25, 343.35 it/sec, obj=[14.37027055 10.94646837]]
   INFO - 01:01:50:     12%|█▏        | 1172/10000 [00:03<00:25, 343.08 it/sec, obj=[14.32525275 10.81708087]]
   INFO - 01:01:50:     12%|█▏        | 1173/10000 [00:03<00:25, 342.80 it/sec, obj=[14.23657371 10.80044692]]
   INFO - 01:01:50:     12%|█▏        | 1174/10000 [00:03<00:25, 342.53 it/sec, obj=[14.16548638 10.79889207]]
   INFO - 01:01:50:     12%|█▏        | 1175/10000 [00:03<00:25, 342.29 it/sec, obj=[14.11391884 10.80077499]]
   INFO - 01:01:50:     12%|█▏        | 1176/10000 [00:03<00:25, 342.05 it/sec, obj=[14.07806633 10.80407179]]
   INFO - 01:01:50:     12%|█▏        | 1177/10000 [00:03<00:25, 341.78 it/sec, obj=[14.05420623 10.80770262]]
   INFO - 01:01:50:     12%|█▏        | 1178/10000 [00:03<00:25, 341.51 it/sec, obj=[14.03900327 10.81121788]]
   INFO - 01:01:50:     12%|█▏        | 1179/10000 [00:03<00:25, 341.23 it/sec, obj=[14.03238843 10.81428582]]
   INFO - 01:01:50:     12%|█▏        | 1180/10000 [00:03<00:25, 340.98 it/sec, obj=[14.0148404  10.82357515]]
   INFO - 01:01:50:     12%|█▏        | 1181/10000 [00:03<00:25, 340.71 it/sec, obj=[14.01853577 10.84650714]]
   INFO - 01:01:50:     12%|█▏        | 1182/10000 [00:03<00:25, 340.67 it/sec, obj=[14.01520692 10.8258668 ]]
   INFO - 01:01:50:     12%|█▏        | 1183/10000 [00:03<00:25, 340.65 it/sec, obj=[14.01487702 10.8238043 ]]
   INFO - 01:01:50:     12%|█▏        | 1184/10000 [00:03<00:25, 340.60 it/sec, obj=[14.01484406 10.82359807]]
   INFO - 01:01:50:     12%|█▏        | 1185/10000 [00:03<00:25, 340.55 it/sec, obj=[14.01484076 10.82357745]]
   INFO - 01:01:50:     12%|█▏        | 1186/10000 [00:03<00:25, 340.52 it/sec, obj=[14.01484043 10.82357538]]
   INFO - 01:01:50:     12%|█▏        | 1187/10000 [00:03<00:25, 340.49 it/sec, obj=[14.0148404  10.82357518]]
   INFO - 01:01:50:     12%|█▏        | 1188/10000 [00:03<00:25, 340.47 it/sec, obj=[14.0148404  10.82357516]]
   INFO - 01:01:50:     12%|█▏        | 1189/10000 [00:03<00:25, 340.43 it/sec, obj=[14.0148404  10.82357516]]
   INFO - 01:01:50:     12%|█▏        | 1190/10000 [00:03<00:25, 340.40 it/sec, obj=[14.0148404  10.82357515]]
   INFO - 01:01:50:     12%|█▏        | 1191/10000 [00:03<00:25, 340.37 it/sec, obj=[14.0148404  10.82357515]]
   INFO - 01:01:50:     12%|█▏        | 1192/10000 [00:03<00:25, 340.12 it/sec, obj=[14.01658741 10.93955693]]
   INFO - 01:01:50:     12%|█▏        | 1193/10000 [00:03<00:25, 340.10 it/sec, obj=[14.01496891 10.83510071]]
   INFO - 01:01:50:     12%|█▏        | 1194/10000 [00:03<00:25, 340.03 it/sec, obj=[14.01485279 10.82472697]]
   INFO - 01:01:50:     12%|█▏        | 1195/10000 [00:03<00:25, 339.99 it/sec, obj=[14.01484163 10.82369033]]
   INFO - 01:01:50:     12%|█▏        | 1196/10000 [00:03<00:25, 339.96 it/sec, obj=[14.01484052 10.82358667]]
   INFO - 01:01:50:     12%|█▏        | 1197/10000 [00:03<00:25, 339.92 it/sec, obj=[14.01484041 10.82357631]]
   INFO - 01:01:50:     12%|█▏        | 1198/10000 [00:03<00:25, 339.88 it/sec, obj=[14.0148404  10.82357527]]
   INFO - 01:01:50:     12%|█▏        | 1199/10000 [00:03<00:25, 339.85 it/sec, obj=[14.0148404  10.82357517]]
   INFO - 01:01:50:     12%|█▏        | 1200/10000 [00:03<00:25, 339.83 it/sec, obj=[14.0148404  10.82357516]]
   INFO - 01:01:50:     12%|█▏        | 1201/10000 [00:03<00:25, 339.81 it/sec, obj=[14.0148404  10.82357515]]
   INFO - 01:01:50:     12%|█▏        | 1202/10000 [00:03<00:25, 339.79 it/sec, obj=[14.0148404  10.82357515]]
   INFO - 01:01:50:     12%|█▏        | 1203/10000 [00:03<00:25, 339.48 it/sec, obj=[14.0149523  11.05758091]]
   INFO - 01:01:50:     12%|█▏        | 1204/10000 [00:03<00:25, 339.45 it/sec, obj=[14.01467895 10.84667816]]
   INFO - 01:01:50:     12%|█▏        | 1205/10000 [00:03<00:25, 339.41 it/sec, obj=[14.01482252 10.82588239]]
   INFO - 01:01:50:     12%|█▏        | 1206/10000 [00:03<00:25, 339.40 it/sec, obj=[14.01483859 10.82380585]]
   INFO - 01:01:50:     12%|█▏        | 1207/10000 [00:03<00:25, 339.37 it/sec, obj=[14.01484022 10.82359822]]
   INFO - 01:01:50:     12%|█▏        | 1208/10000 [00:03<00:25, 339.31 it/sec, obj=[14.01484038 10.82357746]]
   INFO - 01:01:50:     12%|█▏        | 1209/10000 [00:03<00:25, 339.29 it/sec, obj=[14.01484039 10.82357539]]
   INFO - 01:01:50:     12%|█▏        | 1210/10000 [00:03<00:25, 339.25 it/sec, obj=[14.0148404  10.82357518]]
   INFO - 01:01:50:     12%|█▏        | 1211/10000 [00:03<00:25, 339.23 it/sec, obj=[14.0148404  10.82357516]]
   INFO - 01:01:50:     12%|█▏        | 1212/10000 [00:03<00:25, 339.16 it/sec, obj=[14.0148404  10.82357516]]
   INFO - 01:01:50:     12%|█▏        | 1213/10000 [00:03<00:25, 339.12 it/sec, obj=[14.0148404  10.82357515]]
   INFO - 01:01:50:     12%|█▏        | 1214/10000 [00:03<00:25, 338.84 it/sec, obj=[14.01490974 11.06189886]]
   INFO - 01:01:50:     12%|█▏        | 1215/10000 [00:03<00:25, 338.81 it/sec, obj=[14.01466858 10.84709902]]
   INFO - 01:01:50:     12%|█▏        | 1216/10000 [00:03<00:25, 338.79 it/sec, obj=[14.01482143 10.82592436]]
   INFO - 01:01:50:     12%|█▏        | 1217/10000 [00:03<00:25, 338.75 it/sec, obj=[14.01483848 10.82381004]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 52
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: 0.09235825852791893
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [-6.52341030e-07 -1.14218484e-02]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 | -0.006150097033360665 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 |   1.251499764351504   | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  -0.09235825852791893 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [11.21548915  9.69088769]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |         Value         |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 | -0.006150097033360665 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 |   1.251499764351504   | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  -0.09235825852791893 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+-----------------------+-------------------+-------+
   INFO - 01:01:50:     12%|█▏        | 1218/10000 [00:03<00:26, 336.45 it/sec, obj=[13.70598431 11.47733937]]
   INFO - 01:01:50:     12%|█▏        | 1219/10000 [00:03<00:26, 336.21 it/sec, obj=[13.81072117 11.25400551]]
   INFO - 01:01:50:     12%|█▏        | 1220/10000 [00:03<00:26, 335.98 it/sec, obj=[13.77343755 11.32309683]]
   INFO - 01:01:50:     12%|█▏        | 1221/10000 [00:03<00:26, 335.71 it/sec, obj=[13.78185257 11.30251919]]
   INFO - 01:01:50:     12%|█▏        | 1222/10000 [00:03<00:26, 335.42 it/sec, obj=[13.7772678  11.26639816]]
   INFO - 01:01:50:     12%|█▏        | 1223/10000 [00:03<00:26, 335.17 it/sec, obj=[13.7563046  11.23326975]]
   INFO - 01:01:50:     12%|█▏        | 1224/10000 [00:03<00:26, 334.92 it/sec, obj=[13.72544911 11.21247556]]
   INFO - 01:01:50:     12%|█▏        | 1225/10000 [00:03<00:26, 334.67 it/sec, obj=[13.6937544  11.19950313]]
   INFO - 01:01:50:     12%|█▏        | 1226/10000 [00:03<00:26, 334.45 it/sec, obj=[13.66536562 11.19212948]]
   INFO - 01:01:50:     12%|█▏        | 1227/10000 [00:03<00:26, 334.21 it/sec, obj=[13.64213121 11.18782366]]
   INFO - 01:01:50:     12%|█▏        | 1228/10000 [00:03<00:26, 333.94 it/sec, obj=[13.62402876 11.18495226]]
   INFO - 01:01:50:     12%|█▏        | 1229/10000 [00:03<00:26, 333.67 it/sec, obj=[13.59304905 11.17910928]]
   INFO - 01:01:50:     12%|█▏        | 1230/10000 [00:03<00:26, 333.40 it/sec, obj=[12.19447803  6.61550147]]
   INFO - 01:01:50:     12%|█▏        | 1231/10000 [00:03<00:26, 333.16 it/sec, obj=[17.17283819  9.45665502]]
   INFO - 01:01:50:     12%|█▏        | 1232/10000 [00:03<00:26, 333.14 it/sec, obj=[13.79017649  7.86629613]]
   INFO - 01:01:50:     12%|█▏        | 1233/10000 [00:03<00:26, 333.12 it/sec, obj=[12.76802459  6.68795242]]
   INFO - 01:01:50:     12%|█▏        | 1234/10000 [00:03<00:26, 333.10 it/sec, obj=[12.42519167  6.48062023]]
   INFO - 01:01:50:     12%|█▏        | 1235/10000 [00:03<00:26, 333.08 it/sec, obj=[12.29597327  6.50389428]]
   INFO - 01:01:50:     12%|█▏        | 1236/10000 [00:03<00:26, 333.05 it/sec, obj=[12.24190168  6.54839757]]
   INFO - 01:01:50:     12%|█▏        | 1237/10000 [00:03<00:26, 333.01 it/sec, obj=[12.21747112  6.57891558]]
   INFO - 01:01:50:     12%|█▏        | 1238/10000 [00:03<00:26, 332.97 it/sec, obj=[12.20588633  6.59628138]]
   INFO - 01:01:50:     12%|█▏        | 1239/10000 [00:03<00:26, 332.95 it/sec, obj=[12.20023986  6.6055155 ]]
   INFO - 01:01:50:     12%|█▏        | 1240/10000 [00:03<00:26, 332.92 it/sec, obj=[12.19744766  6.61028152]]
   INFO - 01:01:50:     12%|█▏        | 1241/10000 [00:03<00:26, 332.87 it/sec, obj=[12.1960582  6.6127042]]
   INFO - 01:01:50:     12%|█▏        | 1242/10000 [00:03<00:26, 332.62 it/sec, obj=[9.81359415 5.37464645]]
   INFO - 01:01:50:     12%|█▏        | 1243/10000 [00:03<00:26, 332.39 it/sec, obj=[7.92505912 4.96775346]]
   INFO - 01:01:50:     12%|█▏        | 1244/10000 [00:03<00:26, 332.13 it/sec, obj=[3.46385235 5.94048026]]
   INFO - 01:01:50:     12%|█▏        | 1245/10000 [00:03<00:26, 331.88 it/sec, obj=[1.76882472 4.30336849]]
   INFO - 01:01:50:     12%|█▏        | 1246/10000 [00:03<00:26, 331.63 it/sec, obj=[1.68828345 3.73124941]]
   INFO - 01:01:50:     12%|█▏        | 1247/10000 [00:03<00:26, 331.40 it/sec, obj=[1.70533268 3.68630001]]
   INFO - 01:01:50:     12%|█▏        | 1248/10000 [00:03<00:26, 331.15 it/sec, obj=[1.70536873 3.68620577]]
   INFO - 01:01:50:     12%|█▏        | 1249/10000 [00:03<00:26, 330.89 it/sec, obj=[1.70536868 3.68620591]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 35
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.38071010089692436
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [1.36779477e-13 2.37777797e-10]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | 0.2981988304084305 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        | 0.3807101008969244 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [10.70569419 10.01277179]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | 0.2981988304084305 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        | 0.3807101008969244 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:     12%|█▎        | 1250/10000 [00:03<00:26, 328.45 it/sec, obj=[1.51255235 4.24147032]]
   INFO - 01:01:50:     13%|█▎        | 1251/10000 [00:03<00:26, 328.20 it/sec, obj=[1.52141593 4.21361367]]
   INFO - 01:01:50:     13%|█▎        | 1252/10000 [00:03<00:26, 327.93 it/sec, obj=[1.52135888 4.21379222]]
   INFO - 01:01:50:     13%|█▎        | 1253/10000 [00:03<00:26, 327.67 it/sec, obj=[1.52135935 4.21379075]]
   INFO - 01:01:50:     13%|█▎        | 1254/10000 [00:03<00:26, 327.40 it/sec, obj=[1.52135934 4.21379076]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 8
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.3676682367223673
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [5.41946932e-10 1.75579645e-06]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | 0.225279722309013  | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        | 0.3676682367223673 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [10.19589923 10.33465588]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | 0.225279722309013  | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        | 0.3676682367223673 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1255/10000 [00:03<00:26, 325.00 it/sec, obj=[1.35375074 4.78134632]]
   INFO - 01:01:50:     13%|█▎        | 1256/10000 [00:03<00:26, 324.73 it/sec, obj=[1.36074077 4.75590347]]
   INFO - 01:01:50:     13%|█▎        | 1257/10000 [00:03<00:26, 324.43 it/sec, obj=[1.36068364 4.75611076]]
   INFO - 01:01:50:     13%|█▎        | 1258/10000 [00:03<00:26, 324.19 it/sec, obj=[1.36068419 4.75610878]]
   INFO - 01:01:50:     13%|█▎        | 1259/10000 [00:03<00:26, 323.93 it/sec, obj=[1.36068418 4.75610879]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 8
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.35369224067143257
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [6.08512352e-10 2.30422305e-06]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | 0.1578580062032114 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        | 0.3536922406714326 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 9.68610427 10.65653998]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | 0.1578580062032114 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        | 0.3536922406714326 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1260/10000 [00:03<00:27, 321.66 it/sec, obj=[1.21246454 5.33086554]]
   INFO - 01:01:50:     13%|█▎        | 1261/10000 [00:03<00:27, 321.42 it/sec, obj=[1.21766407 5.30941508]]
   INFO - 01:01:50:     13%|█▎        | 1262/10000 [00:03<00:27, 321.17 it/sec, obj=[1.2176303  5.30955408]]
   INFO - 01:01:50:     13%|█▎        | 1263/10000 [00:03<00:27, 320.92 it/sec, obj=[1.21763056 5.30955304]]
   INFO - 01:01:50:     13%|█▎        | 1264/10000 [00:03<00:27, 320.64 it/sec, obj=[1.21763056 5.30955305]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 8
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.3390108030109216
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [2.38024711e-10 1.19054698e-06]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | 0.09434081759351785 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  0.3390108030109216 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 9.17630931 10.97842407]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | 0.09434081759351785 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  0.3390108030109216 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1265/10000 [00:03<00:27, 318.37 it/sec, obj=[1.08491694 5.88820668]]
   INFO - 01:01:50:     13%|█▎        | 1266/10000 [00:03<00:27, 318.10 it/sec, obj=[1.08849378 5.87173709]]
   INFO - 01:01:50:     13%|█▎        | 1267/10000 [00:03<00:27, 317.82 it/sec, obj=[1.0884847  5.87177881]]
   INFO - 01:01:50:     13%|█▎        | 1268/10000 [00:03<00:27, 317.56 it/sec, obj=[1.08848473 5.87177868]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 7
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.32377260952167874
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [1.92859062e-11 1.50364464e-07]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | 0.03365188638307567 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  0.3237726095216787 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 8.66651435 11.30030817]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | 0.03365188638307567 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  0.3237726095216787 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1269/10000 [00:04<00:27, 315.39 it/sec, obj=[0.96854731 6.45204172]]
   INFO - 01:01:50:     13%|█▎        | 1270/10000 [00:04<00:27, 315.18 it/sec, obj=[0.97068053 6.44120242]]
   INFO - 01:01:50:     13%|█▎        | 1271/10000 [00:04<00:27, 314.94 it/sec, obj=[0.970687   6.44116958]]
   INFO - 01:01:50:     13%|█▎        | 1272/10000 [00:04<00:27, 314.73 it/sec, obj=[0.97068701 6.44116949]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 7
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.3080804428064812
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [1.19807532e-06 3.77862159e-05]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | -0.0249963858684049 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  0.3080804428064812 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 8.15671938 11.62219226]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | -0.0249963858684049 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  0.3080804428064812 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1273/10000 [00:04<00:27, 312.70 it/sec, obj=[0.86153338 7.021369  ]]
   INFO - 01:01:50:     13%|█▎        | 1274/10000 [00:04<00:27, 312.50 it/sec, obj=[0.86238921 7.01661102]]
   INFO - 01:01:50:     13%|█▎        | 1275/10000 [00:04<00:27, 312.23 it/sec, obj=[0.86239761 7.01656435]]
   INFO - 01:01:50:     13%|█▎        | 1276/10000 [00:04<00:27, 312.19 it/sec, obj=[0.86239005 7.01660635]]
   INFO - 01:01:50:     13%|█▎        | 1277/10000 [00:04<00:27, 312.16 it/sec, obj=[0.8623893  7.01661055]]
   INFO - 01:01:50:     13%|█▎        | 1278/10000 [00:04<00:27, 312.13 it/sec, obj=[0.86238922 7.01661097]]
   INFO - 01:01:50:     13%|█▎        | 1279/10000 [00:04<00:27, 312.09 it/sec, obj=[0.86238922 7.01661101]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 10
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.29200736902188507
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [2.17496038e-07 5.26120489e-05]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | -0.08220877373158518 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  0.2920073690218851  |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 7.64692442 11.94407636]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | -0.08220877373158518 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  0.2920073690218851  |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1280/10000 [00:04<00:28, 310.19 it/sec, obj=[0.76253334 7.59541578]]
   INFO - 01:01:50:     13%|█▎        | 1281/10000 [00:04<00:28, 309.97 it/sec, obj=[0.76225927 7.59707209]]
   INFO - 01:01:50:     13%|█▎        | 1282/10000 [00:04<00:28, 309.77 it/sec, obj=[0.76225446 7.59710116]]
   INFO - 01:01:50:     13%|█▎        | 1283/10000 [00:04<00:28, 309.56 it/sec, obj=[0.76225438 7.59710167]]
   INFO - 01:01:50:     13%|█▎        | 1284/10000 [00:04<00:28, 309.36 it/sec, obj=[0.76225438 7.59710168]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 8
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.2756078050046248
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [ 1.98063788e-13 -1.77800885e-10]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | -0.1384862762273548 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  0.2756078050046248 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 7.13712946 12.26596045]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | -0.1384862762273548 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  0.2756078050046248 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1285/10000 [00:04<00:28, 307.34 it/sec, obj=[0.67103735 8.1741504 ]]
   INFO - 01:01:50:     13%|█▎        | 1286/10000 [00:04<00:28, 307.14 it/sec, obj=[0.66927959 8.1817945 ]]
   INFO - 01:01:50:     13%|█▎        | 1287/10000 [00:04<00:28, 306.90 it/sec, obj=[0.6692292  8.18212411]]
   INFO - 01:01:50:     13%|█▎        | 1288/10000 [00:04<00:28, 306.67 it/sec, obj=[0.66922788 8.18213277]]
   INFO - 01:01:50:     13%|█▎        | 1289/10000 [00:04<00:28, 306.43 it/sec, obj=[0.66922784 8.18213299]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 8
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.2589236893171578
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [-2.66453526e-15 -6.73022882e-09]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | -0.194283323768222 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        | 0.2589236893171578 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 6.6273345  12.58784455]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | -0.194283323768222 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        | 0.2589236893171578 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1290/10000 [00:04<00:28, 304.40 it/sec, obj=[0.58652715 8.75768428]]
   INFO - 01:01:50:     13%|█▎        | 1291/10000 [00:04<00:28, 304.19 it/sec, obj=[0.58269624 8.7700095 ]]
   INFO - 01:01:50:     13%|█▎        | 1292/10000 [00:04<00:28, 303.94 it/sec, obj=[0.58253871 8.77112099]]
   INFO - 01:01:50:     13%|█▎        | 1293/10000 [00:04<00:28, 303.70 it/sec, obj=[0.58253309 8.7711606 ]]
   INFO - 01:01:50:     13%|█▎        | 1294/10000 [00:04<00:28, 303.47 it/sec, obj=[0.58253289 8.77116202]]
   INFO - 01:01:50:     13%|█▎        | 1295/10000 [00:04<00:28, 303.26 it/sec, obj=[0.58253288 8.77116207]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 9
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.24198610731272277
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [-3.10862447e-14 -2.02901784e-09]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | -0.2500103966177374 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  0.2419861073127228 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 6.11753954 12.90972864]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | -0.2500103966177374 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  0.2419861073127228 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1296/10000 [00:04<00:28, 301.33 it/sec, obj=[0.50767122 9.34499481]]
   INFO - 01:01:50:     13%|█▎        | 1297/10000 [00:04<00:28, 301.16 it/sec, obj=[0.50189963 9.36132603]]
   INFO - 01:01:50:     13%|█▎        | 1298/10000 [00:04<00:28, 300.96 it/sec, obj=[0.50158726 9.36369819]]
   INFO - 01:01:50:     13%|█▎        | 1299/10000 [00:04<00:28, 300.74 it/sec, obj=[0.50157299 9.36380662]]
   INFO - 01:01:50:     13%|█▎        | 1300/10000 [00:04<00:28, 300.56 it/sec, obj=[0.50157233 9.36381158]]
   INFO - 01:01:50:     13%|█▎        | 1301/10000 [00:04<00:28, 300.37 it/sec, obj=[0.5015723  9.36381181]]
   INFO - 01:01:50: Optimization result:
   INFO - 01:01:50:    Optimizer info:
   INFO - 01:01:50:       Status: None
   INFO - 01:01:50:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:50:       Number of calls to the objective function by the optimizer: 9
   INFO - 01:01:50:    Solution:
   INFO - 01:01:50:       The solution is feasible.
   INFO - 01:01:50:       Objective: -0.22481896622657027
   INFO - 01:01:50:       Standardized constraints:
   INFO - 01:01:50:          beta_sub_optim_constraint = [ 2.13162821e-14 -1.17696275e-08]
   INFO - 01:01:50:       Design space:
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:          | y    | -3.141592653589793 | -0.3060808237961971 | 3.141592653589793 | float |
   INFO - 01:01:50:          | t    |        -inf        |  0.2248189662265703 |        inf        | float |
   INFO - 01:01:50:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50: Solving mNBI sub-problem for phi_beta = [ 5.60774458 13.23161274]
   INFO - 01:01:50: Optimization problem:
   INFO - 01:01:50:    minimize -t_extraction
   INFO - 01:01:50:    with respect to t, x, y
   INFO - 01:01:50:    subject to constraints:
   INFO - 01:01:50:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:50:    over the design space:
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:50:       | y    | -3.141592653589793 | -0.3060808237961971 | 3.141592653589793 | float |
   INFO - 01:01:50:       | t    |        -inf        |  0.2248189662265703 |        inf        | float |
   INFO - 01:01:50:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:50:     13%|█▎        | 1302/10000 [00:04<00:29, 298.51 it/sec, obj=[0.43402034 9.93590822]]
   INFO - 01:01:50:     13%|█▎        | 1303/10000 [00:04<00:29, 298.32 it/sec, obj=[0.42645159 9.9553188 ]]
   INFO - 01:01:50:     13%|█▎        | 1304/10000 [00:04<00:29, 298.13 it/sec, obj=[0.42593373 9.95954888]]
   INFO - 01:01:50:     13%|█▎        | 1305/10000 [00:04<00:29, 297.90 it/sec, obj=[0.42590447 9.95978797]]
   INFO - 01:01:50:     13%|█▎        | 1306/10000 [00:04<00:29, 297.70 it/sec, obj=[0.42590281 9.95980148]]
   INFO - 01:01:51:     13%|█▎        | 1307/10000 [00:04<00:29, 297.50 it/sec, obj=[0.42590272 9.95980225]]
   INFO - 01:01:51:     13%|█▎        | 1308/10000 [00:04<00:29, 297.30 it/sec, obj=[0.42590271 9.95980229]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 10
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.20744001562687236
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [ 3.55271368e-15 -2.78823764e-09]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.36293310183095  | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        | 0.2074400156268724 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 5.09794962 13.55349683]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.36293310183095  | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        | 0.2074400156268724 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:     13%|█▎        | 1309/10000 [00:04<00:29, 295.44 it/sec, obj=[ 0.36525349 10.53035178]]
   INFO - 01:01:51:     13%|█▎        | 1310/10000 [00:04<00:29, 295.25 it/sec, obj=[ 0.35605081 10.55160429]]
   INFO - 01:01:51:     13%|█▎        | 1311/10000 [00:04<00:29, 295.08 it/sec, obj=[ 0.35527365 10.55843936]]
   INFO - 01:01:51:     13%|█▎        | 1312/10000 [00:04<00:29, 294.88 it/sec, obj=[ 0.35522068 10.55890538]]
   INFO - 01:01:51:     13%|█▎        | 1313/10000 [00:04<00:29, 294.70 it/sec, obj=[ 0.35521707 10.55893714]]
   INFO - 01:01:51:     13%|█▎        | 1314/10000 [00:04<00:29, 294.50 it/sec, obj=[ 0.35521683 10.55893931]]
   INFO - 01:01:51:     13%|█▎        | 1315/10000 [00:04<00:29, 294.31 it/sec, obj=[ 0.35521681 10.55893946]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 10
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.1898615574839805
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [ 1.50990331e-14 -1.15679053e-08]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.421062756892335 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        | 0.1898615574839805 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 4.58815465 13.87538093]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.421062756892335 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        | 0.1898615574839805 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 01:01:51:     13%|█▎        | 1316/10000 [00:04<00:29, 292.54 it/sec, obj=[ 0.30116811 11.12836371]]
   INFO - 01:01:51:     13%|█▎        | 1317/10000 [00:04<00:29, 292.38 it/sec, obj=[ 0.29053033 11.14981198]]
   INFO - 01:01:51:     13%|█▎        | 1318/10000 [00:04<00:29, 292.21 it/sec, obj=[ 0.2894369  11.16019963]]
   INFO - 01:01:51:     13%|█▎        | 1319/10000 [00:04<00:29, 292.01 it/sec, obj=[ 0.28934853 11.16103975]]
   INFO - 01:01:51:     13%|█▎        | 1320/10000 [00:04<00:29, 291.82 it/sec, obj=[ 0.28934139 11.16110761]]
   INFO - 01:01:51:     13%|█▎        | 1321/10000 [00:04<00:29, 291.63 it/sec, obj=[ 0.28934081 11.1611131 ]]
   INFO - 01:01:51:     13%|█▎        | 1322/10000 [00:04<00:29, 291.45 it/sec, obj=[ 0.28934077 11.16111354]]
   INFO - 01:01:51:     13%|█▎        | 1323/10000 [00:04<00:29, 291.26 it/sec, obj=[ 0.28934076 11.16111357]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 11
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.17209055080803906
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [ 2.39808173e-14 -3.35184813e-09]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.4810662050903783 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        |  0.1720905508080391 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 4.07835969 14.19726502]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.4810662050903783 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        |  0.1720905508080391 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     13%|█▎        | 1324/10000 [00:04<00:29, 289.54 it/sec, obj=[ 0.24407516 11.69183075]]
   INFO - 01:01:51:     13%|█▎        | 1325/10000 [00:04<00:29, 289.38 it/sec, obj=[ 0.23007913 11.74741677]]
   INFO - 01:01:51:     13%|█▎        | 1326/10000 [00:04<00:29, 289.22 it/sec, obj=[ 0.22842341 11.76451578]]
   INFO - 01:01:51:     13%|█▎        | 1327/10000 [00:04<00:30, 289.01 it/sec, obj=[ 0.22826641 11.76613932]]
   INFO - 01:01:51:     13%|█▎        | 1328/10000 [00:04<00:30, 288.83 it/sec, obj=[ 0.22825155 11.76629304]]
   INFO - 01:01:51:     13%|█▎        | 1329/10000 [00:04<00:30, 288.66 it/sec, obj=[ 0.22825014 11.76630759]]
   INFO - 01:01:51:     13%|█▎        | 1330/10000 [00:04<00:30, 288.48 it/sec, obj=[ 0.22825001 11.76630897]]
   INFO - 01:01:51:     13%|█▎        | 1331/10000 [00:04<00:30, 288.30 it/sec, obj=[ 0.22825   11.7663091]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 11
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.15412797921488172
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [-3.10862447e-14 -1.44594741e-08]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.5437089545127316 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        |  0.1541279792148817 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 3.56856473 14.51914912]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.5437089545127316 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        |  0.1541279792148817 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     13%|█▎        | 1332/10000 [00:04<00:30, 286.57 it/sec, obj=[ 0.1925283  12.23407683]]
   INFO - 01:01:51:     13%|█▎        | 1333/10000 [00:04<00:30, 286.40 it/sec, obj=[ 0.17649894 12.34966763]]
   INFO - 01:01:51:     13%|█▎        | 1334/10000 [00:04<00:30, 286.23 it/sec, obj=[ 0.17270555 12.36790081]]
   INFO - 01:01:51:     13%|█▎        | 1335/10000 [00:04<00:30, 286.04 it/sec, obj=[ 0.17217953 12.37389018]]
   INFO - 01:01:51:     13%|█▎        | 1336/10000 [00:04<00:30, 285.87 it/sec, obj=[ 0.1721215  12.37455136]]
   INFO - 01:01:51:     13%|█▎        | 1337/10000 [00:04<00:30, 285.69 it/sec, obj=[ 0.1721151  12.37462425]]
   INFO - 01:01:51:     13%|█▎        | 1338/10000 [00:04<00:30, 285.53 it/sec, obj=[ 0.1721144  12.37463228]]
   INFO - 01:01:51:     13%|█▎        | 1339/10000 [00:04<00:30, 285.35 it/sec, obj=[ 0.17211432 12.37463317]]
   INFO - 01:01:51:     13%|█▎        | 1340/10000 [00:04<00:30, 285.17 it/sec, obj=[ 0.17211431 12.37463326]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 12
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.13596704543127247
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [ 3.55271368e-15 -1.27636701e-08]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.6100438087404102 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        |  0.1359670454312725 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 3.05876977 14.84103321]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.6100438087404102 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        |  0.1359670454312725 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     13%|█▎        | 1341/10000 [00:04<00:30, 283.50 it/sec, obj=[ 0.14516872 12.77747669]]
   INFO - 01:01:51:     13%|█▎        | 1342/10000 [00:04<00:30, 283.35 it/sec, obj=[ 0.12896617 12.95814598]]
   INFO - 01:01:51:     13%|█▎        | 1343/10000 [00:04<00:30, 283.19 it/sec, obj=[ 0.12271064 12.96958603]]
   INFO - 01:01:51:     13%|█▎        | 1344/10000 [00:04<00:30, 283.02 it/sec, obj=[ 0.12157005 12.98421831]]
   INFO - 01:01:51:     13%|█▎        | 1345/10000 [00:04<00:30, 282.84 it/sec, obj=[ 0.12142333 12.98610396]]
   INFO - 01:01:51:     13%|█▎        | 1346/10000 [00:04<00:30, 282.69 it/sec, obj=[ 0.12140451 12.98634598]]
   INFO - 01:01:51:     13%|█▎        | 1347/10000 [00:04<00:30, 282.52 it/sec, obj=[ 0.12140209 12.98637702]]
   INFO - 01:01:51:     13%|█▎        | 1348/10000 [00:04<00:30, 282.34 it/sec, obj=[ 0.12140178 12.98638101]]
   INFO - 01:01:51:     13%|█▎        | 1349/10000 [00:04<00:30, 282.14 it/sec, obj=[ 0.12140174 12.98638152]]
   INFO - 01:01:51:     14%|█▎        | 1350/10000 [00:04<00:30, 281.97 it/sec, obj=[ 0.12140174 12.98638158]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 13
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.11758901297180953
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [-1.33226763e-14 -1.01144018e-08]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.6816397343331123 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        |  0.1175890129718095 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 2.54897481 15.1629173 ]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.6816397343331123 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        |  0.1175890129718095 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     14%|█▎        | 1351/10000 [00:04<00:30, 280.38 it/sec, obj=[ 0.10238961 13.32306607]]
   INFO - 01:01:51:     14%|█▎        | 1352/10000 [00:04<00:30, 280.20 it/sec, obj=[ 0.08703943 13.572046  ]]
   INFO - 01:01:51:     14%|█▎        | 1353/10000 [00:04<00:30, 280.03 it/sec, obj=[ 0.08128604 13.58187374]]
   INFO - 01:01:51:     14%|█▎        | 1354/10000 [00:04<00:30, 279.89 it/sec, obj=[ 0.07801327 13.58867861]]
   INFO - 01:01:51:     14%|█▎        | 1355/10000 [00:04<00:30, 279.74 it/sec, obj=[ 0.07725982 13.60015505]]
   INFO - 01:01:51:     14%|█▎        | 1356/10000 [00:04<00:30, 279.55 it/sec, obj=[ 0.07714633 13.60188767]]
   INFO - 01:01:51:     14%|█▎        | 1357/10000 [00:04<00:30, 279.36 it/sec, obj=[ 0.07712927 13.60214821]]
   INFO - 01:01:51:     14%|█▎        | 1358/10000 [00:04<00:30, 279.20 it/sec, obj=[ 0.07712671 13.60218736]]
   INFO - 01:01:51:     14%|█▎        | 1359/10000 [00:04<00:30, 279.03 it/sec, obj=[ 0.07712633 13.60219324]]
   INFO - 01:01:51:     14%|█▎        | 1360/10000 [00:04<00:30, 278.88 it/sec, obj=[ 0.07712627 13.60219413]]
   INFO - 01:01:51:     14%|█▎        | 1361/10000 [00:04<00:30, 278.71 it/sec, obj=[ 0.07712626 13.60219426]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 14
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.09895329016041263
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [ 3.99680289e-15 -2.44621337e-08]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.7610904369459162 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        | 0.09895329016041263 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 2.03917985 15.4848014 ]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.7610904369459162 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        | 0.09895329016041263 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     14%|█▎        | 1362/10000 [00:04<00:31, 277.05 it/sec, obj=[ 0.06504462 13.87250065]]
   INFO - 01:01:51:     14%|█▎        | 1363/10000 [00:04<00:31, 276.90 it/sec, obj=[ 0.05157802 14.19390207]]
   INFO - 01:01:51:     14%|█▎        | 1364/10000 [00:04<00:31, 276.76 it/sec, obj=[ 0.04888577 14.2144866 ]]
   INFO - 01:01:51:     14%|█▎        | 1365/10000 [00:04<00:31, 276.59 it/sec, obj=[ 0.04382604 14.17645334]]
   INFO - 01:01:51:     14%|█▎        | 1366/10000 [00:04<00:31, 276.44 it/sec, obj=[ 0.04195332 14.21489646]]
   INFO - 01:01:51:     14%|█▎        | 1367/10000 [00:04<00:31, 276.26 it/sec, obj=[ 0.04161571 14.22194457]]
   INFO - 01:01:51:     14%|█▎        | 1368/10000 [00:04<00:31, 276.10 it/sec, obj=[ 0.04155501 14.2232158 ]]
   INFO - 01:01:51:     14%|█▎        | 1369/10000 [00:04<00:31, 275.96 it/sec, obj=[ 0.0415441  14.22344436]]
   INFO - 01:01:51:     14%|█▎        | 1370/10000 [00:04<00:31, 275.81 it/sec, obj=[ 0.04154214 14.22348543]]
   INFO - 01:01:51:     14%|█▎        | 1371/10000 [00:04<00:31, 275.64 it/sec, obj=[ 0.04154179 14.22349281]]
   INFO - 01:01:51:     14%|█▎        | 1372/10000 [00:04<00:31, 275.46 it/sec, obj=[ 0.04154173 14.22349413]]
   INFO - 01:01:51:     14%|█▎        | 1373/10000 [00:04<00:31, 275.29 it/sec, obj=[ 0.04154172 14.22349437]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 15
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.07996965081825079
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [-9.99200722e-15 -5.37463289e-08]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.8533942753228502 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        | 0.07996965081825079 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 1.52938488 15.80668549]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.8533942753228502 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        | 0.07996965081825079 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     14%|█▎        | 1374/10000 [00:05<00:31, 273.78 it/sec, obj=[ 0.03503289 14.42887869]]
   INFO - 01:01:51:     14%|█▍        | 1375/10000 [00:05<00:31, 273.64 it/sec, obj=[ 0.02770014 14.68566514]]
   INFO - 01:01:51:     14%|█▍        | 1376/10000 [00:05<00:31, 273.50 it/sec, obj=[ 0.02342177 14.83897819]]
   INFO - 01:01:51:     14%|█▍        | 1377/10000 [00:05<00:31, 273.37 it/sec, obj=[ 0.02270998 14.8480151 ]]
   INFO - 01:01:51:     14%|█▍        | 1378/10000 [00:05<00:31, 273.22 it/sec, obj=[ 0.02159149 14.823479  ]]
   INFO - 01:01:51:     14%|█▍        | 1379/10000 [00:05<00:31, 273.05 it/sec, obj=[ 0.02080189 14.83518463]]
   INFO - 01:01:51:     14%|█▍        | 1380/10000 [00:05<00:31, 272.93 it/sec, obj=[ 0.0204019  14.85280938]]
   INFO - 01:01:51:     14%|█▍        | 1381/10000 [00:05<00:31, 272.79 it/sec, obj=[ 0.02037874 14.85393027]]
   INFO - 01:01:51:     14%|█▍        | 1382/10000 [00:05<00:31, 272.65 it/sec, obj=[ 0.02037936 14.85390295]]
   INFO - 01:01:51:     14%|█▍        | 1383/10000 [00:05<00:31, 272.63 it/sec, obj=[ 0.0203788  14.85392754]]
   INFO - 01:01:51:     14%|█▍        | 1384/10000 [00:05<00:31, 272.62 it/sec, obj=[ 0.02037874 14.85392999]]
   INFO - 01:01:51:     14%|█▍        | 1385/10000 [00:05<00:31, 272.60 it/sec, obj=[ 0.02037874 14.85393024]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 15
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.060408686643641296
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [1.14123062e-08 2.99484293e-05]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.124892778045702 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.9308586238288376 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        |  0.0604086866436413 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 1.01958992 16.12856959]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.124892778045702 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.9308586238288376 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        |  0.0604086866436413 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     14%|█▍        | 1386/10000 [00:05<00:31, 271.27 it/sec, obj=[ 0.01718534 15.00361975]]
   INFO - 01:01:51:     14%|█▍        | 1387/10000 [00:05<00:31, 271.14 it/sec, obj=[1.40515093e-02 1.51661918e+01]]
   INFO - 01:01:51:     14%|█▍        | 1388/10000 [00:05<00:31, 271.01 it/sec, obj=[8.99963657e-03 1.54765564e+01]]
   INFO - 01:01:51:     14%|█▍        | 1389/10000 [00:05<00:31, 270.88 it/sec, obj=[8.81041146e-03 1.54893324e+01]]
   INFO - 01:01:51:     14%|█▍        | 1390/10000 [00:05<00:31, 270.72 it/sec, obj=[8.79355568e-03 1.54896536e+01]]
   INFO - 01:01:51:     14%|█▍        | 1391/10000 [00:05<00:31, 270.58 it/sec, obj=[8.77687203e-03 1.54874527e+01]]
   INFO - 01:01:51:     14%|█▍        | 1392/10000 [00:05<00:31, 270.43 it/sec, obj=[8.73780366e-03 1.54892227e+01]]
   INFO - 01:01:51:     14%|█▍        | 1393/10000 [00:05<00:31, 270.28 it/sec, obj=[8.72318503e-03 1.54902517e+01]]
   INFO - 01:01:51:     14%|█▍        | 1394/10000 [00:05<00:31, 270.12 it/sec, obj=[8.72241827e-03 1.54903092e+01]]
   INFO - 01:01:51:     14%|█▍        | 1395/10000 [00:05<00:31, 269.96 it/sec, obj=[8.72242522e-03 1.54903088e+01]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 13
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.04046714980460463
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [2.28619346e-11 5.21678970e-07]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.083528096506652 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.9582211134522686 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        | 0.04046714980460463 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Solving mNBI sub-problem for phi_beta = [ 0.50979496 16.45045368]
   INFO - 01:01:51: Optimization problem:
   INFO - 01:01:51:    minimize -t_extraction
   INFO - 01:01:51:    with respect to t, x, y
   INFO - 01:01:51:    subject to constraints:
   INFO - 01:01:51:       beta_sub_optim_constraint <= 0.0
   INFO - 01:01:51:    over the design space:
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:       | x    | -3.141592653589793 |  -3.083528096506652 | 3.141592653589793 | float |
   INFO - 01:01:51:       | y    | -3.141592653589793 | -0.9582211134522686 | 3.141592653589793 | float |
   INFO - 01:01:51:       | t    |        -inf        | 0.04046714980460463 |        inf        | float |
   INFO - 01:01:51:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:     14%|█▍        | 1396/10000 [00:05<00:32, 268.63 it/sec, obj=[7.35549888e-03 1.55917815e+01]]
   INFO - 01:01:51:     14%|█▍        | 1397/10000 [00:05<00:32, 268.47 it/sec, obj=[6.13233104e-03 1.56914972e+01]]
   INFO - 01:01:51:     14%|█▍        | 1398/10000 [00:05<00:32, 268.30 it/sec, obj=[2.22176447e-03 1.61144852e+01]]
   INFO - 01:01:51:     14%|█▍        | 1399/10000 [00:05<00:32, 268.15 it/sec, obj=[2.12134225e-03 1.61290625e+01]]
   INFO - 01:01:51:     14%|█▍        | 1400/10000 [00:05<00:32, 267.99 it/sec, obj=[2.11555065e-03 1.61296819e+01]]
   INFO - 01:01:51:     14%|█▍        | 1401/10000 [00:05<00:32, 267.85 it/sec, obj=[2.11279396e-03 1.61289972e+01]]
   INFO - 01:01:51:     14%|█▍        | 1402/10000 [00:05<00:32, 267.70 it/sec, obj=[2.10659210e-03 1.61289589e+01]]
   INFO - 01:01:51:     14%|█▍        | 1403/10000 [00:05<00:32, 267.56 it/sec, obj=[2.10061020e-03 1.61298536e+01]]
   INFO - 01:01:51:     14%|█▍        | 1404/10000 [00:05<00:32, 267.42 it/sec, obj=[2.10034123e-03 1.61298952e+01]]
   INFO - 01:01:51:     14%|█▍        | 1405/10000 [00:05<00:32, 267.27 it/sec, obj=[2.10033797e-03 1.61298957e+01]]
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 13
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       The solution is feasible.
   INFO - 01:01:51:       Objective: -0.02032408232425267
   INFO - 01:01:51:       Standardized constraints:
   INFO - 01:01:51:          beta_sub_optim_constraint = [-1.09245946e-13 -2.06584829e-08]
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51:          | x    | -3.141592653589793 |  -3.041696853982727 | 3.141592653589793 | float |
   INFO - 01:01:51:          | y    | -3.141592653589793 | -0.9809813162082901 | 3.141592653589793 | float |
   INFO - 01:01:51:          | t    |        -inf        | 0.02032408232425267 |        inf        | float |
   INFO - 01:01:51:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 01:01:51: Optimization result:
   INFO - 01:01:51:    Optimizer info:
   INFO - 01:01:51:       Status: None
   INFO - 01:01:51:       Message: None
   INFO - 01:01:51:       Number of calls to the objective function by the optimizer: 1553
   INFO - 01:01:51:    Solution:
   INFO - 01:01:51:       Objective: 4.061575498234619
   INFO - 01:01:51:    Pareto efficient solutions:
   INFO - 01:01:51:       Pareto optimal points : 303 / 1405
   INFO - 01:01:51:       Utopia point : [2.24633196e-26 1.00001713e+00]
   INFO - 01:01:51:       Compromise solution (closest to utopia) : [[1.70536873 3.68620577]]
   INFO - 01:01:51:       Distance from utopia : 3.18180639559226
   INFO - 01:01:51:       Objective values:
   INFO - 01:01:51:          +------+-------------+---------+---------+
   INFO - 01:01:51:          | name |           1 |       2 |       3 |
   INFO - 01:01:51:          +------+-------------+---------+---------+
   INFO - 01:01:51:          |    1 | 2.24633e-26 |   24.98 | 1.70537 |
   INFO - 01:01:51:          |    2 |     16.7723 | 1.00002 | 3.68621 |
   INFO - 01:01:51:          +------+-------------+---------+---------+
   INFO - 01:01:51:       Design space:
   INFO - 01:01:51:          +-------+-------------+----+---------+----------+-------------+-------+
   INFO - 01:01:51:          |  name | lower_bound |  1 |       2 |        3 | upper_bound |  type |
   INFO - 01:01:51:          +-------+-------------+----+---------+----------+-------------+-------+
   INFO - 01:01:51:          | x (1) |    -3.14159 | -3 | 1.00094 | -3.14159 |     3.14159 | float |
   INFO - 01:01:51:          | y (1) |    -3.14159 | -1 |  1.9954 | 0.298199 |     3.14159 | float |
   INFO - 01:01:51:          +-------+-------------+----+---------+----------+-------------+-------+

Display the Pareto front

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

execute_post(opt_problem, "ParetoFront", save=False, show=True)
Pareto front
<gemseo.post.pareto_front.ParetoFront object at 0x7f119149aee0>

Total running time of the script: (0 minutes 6.362 seconds)

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