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.algos.opt.mnbi.settings.mnbi_settings import MNBI_Settings
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()
algo_settings = MNBI_Settings(
    max_iter=10000,
    sub_optim_max_iter=50,
    n_sub_optim=50,
    sub_optim_algo="SLSQP",
)
result = execute_algo(opt_problem, settings_model=algo_settings)
   INFO - 02:20:14: Optimization problem:
   INFO - 02:20:14:    minimize Poloni
   INFO - 02:20:14:    with respect to x, y
   INFO - 02:20:14:    over the design space:
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:14:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14: Solving optimization problem with algorithm MNBI:
   INFO - 02:20:14: Searching for the individual optimum of each objective
   INFO - 02:20:14: Optimization problem:
   INFO - 02:20:14:    minimize f_0
   INFO - 02:20:14:    with respect to x, y
   INFO - 02:20:14:    over the design space:
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:14:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14: Optimization result:
   INFO - 02:20:14:    Optimizer info:
   INFO - 02:20:14:       Status: 8
   INFO - 02:20:14:       Message: Positive directional derivative for linesearch
   INFO - 02:20:14:       Number of calls to the objective function by the optimizer: 8
   INFO - 02:20:14:    Solution:
   INFO - 02:20:14:       Objective: 0.0
   INFO - 02:20:14:       Design space:
   INFO - 02:20:14:          +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:          | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 02:20:14:          +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:          | x    | -3.141592653589793 |   -3  | 3.141592653589793 | float |
   INFO - 02:20:14:          | y    | -3.141592653589793 |   -1  | 3.141592653589793 | float |
   INFO - 02:20:14:          +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14: Optimization problem:
   INFO - 02:20:14:    minimize f_1
   INFO - 02:20:14:    with respect to x, y
   INFO - 02:20:14:    over the design space:
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:14:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:14:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:14:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:15:      1%|          | 51/10000 [00:00<00:15, 638.23 it/sec, obj=[25.01494445  1.00001327]]
   INFO - 02:20:15:      1%|          | 52/10000 [00:00<00:15, 636.83 it/sec, obj=[24.95104823  1.00006976]]
   INFO - 02:20:15:      1%|          | 53/10000 [00:00<00:15, 637.45 it/sec, obj=[25.00269393  1.00000429]]
   INFO - 02:20:15:      1%|          | 54/10000 [00:00<00:15, 636.30 it/sec, obj=[24.95403311  1.00006534]]
   INFO - 02:20:15:      1%|          | 55/10000 [00:00<00:15, 636.83 it/sec, obj=[24.99510507  1.0000026 ]]
   INFO - 02:20:15:      1%|          | 56/10000 [00:00<00:15, 635.76 it/sec, obj=[24.97288879  1.00002348]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       Objective: 1.0000026017399986
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 | 0.9993633584557085 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 | 2.000032965344246  | 3.141592653589793 | float |
   INFO - 02:20:15:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [24.48500088  1.32188699]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     | Value |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |   0   | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        |   0   |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+-------+-------------------+-------+
   INFO - 02:20:15:      1%|          | 57/10000 [00:00<00:16, 593.94 it/sec, obj=[15.98220845  9.55146811]]
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   INFO - 02:20:15:      1%|          | 105/10000 [00:00<00:15, 655.13 it/sec, obj=[5.9163612  3.21258482]]
WARNING - 02:20:15: Optimization found no feasible point; the least infeasible point is selected.
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
WARNING - 02:20:15:       The solution is not feasible.
   INFO - 02:20:15:       Objective: 0.1287538299674853
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-22.2413387    0.69654043]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.332772858992157  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.1287538299674853 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
WARNING - 02:20:15: No feasible optimum has been found for phi_beta = [24.48500088  1.32188699]
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [23.9748967   1.64377138]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.332772858992157  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.1287538299674853 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      1%|          | 106/10000 [00:00<00:15, 621.11 it/sec, obj=[ 8.26118842 44.00575546]]
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   INFO - 02:20:15:      1%|▏         | 147/10000 [00:00<00:15, 651.01 it/sec, obj=[4.98241639 2.90315143]]
   INFO - 02:20:15:      1%|▏         | 148/10000 [00:00<00:15, 651.66 it/sec, obj=[4.80778453 2.8356089 ]]
   INFO - 02:20:15:      1%|▏         | 149/10000 [00:00<00:15, 652.51 it/sec, obj=[4.77009207 2.82048532]]
   INFO - 02:20:15:      2%|▏         | 150/10000 [00:00<00:15, 653.24 it/sec, obj=[4.76188387 2.81716405]]
   INFO - 02:20:15:      2%|▏         | 151/10000 [00:00<00:15, 653.96 it/sec, obj=[4.76009304 2.81643809]]
   INFO - 02:20:15:      2%|▏         | 152/10000 [00:00<00:15, 654.69 it/sec, obj=[4.75970217 2.81627957]]
   INFO - 02:20:15:      2%|▏         | 153/10000 [00:00<00:15, 655.42 it/sec, obj=[4.75961685 2.81624496]]
   INFO - 02:20:15:      2%|▏         | 154/10000 [00:00<00:15, 656.02 it/sec, obj=[4.75959822 2.81623741]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.07558728376658524
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-21.17028546  -0.04726609]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.780389247503046  | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.155387309211172   | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.07558728376658524 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [23.46479251  1.96565578]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.780389247503046  | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.155387309211172   | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.07558728376658524 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:15:      2%|▏         | 155/10000 [00:00<00:15, 635.97 it/sec, obj=[17.41207192 10.24348169]]
   INFO - 02:20:15:      2%|▏         | 156/10000 [00:00<00:15, 635.93 it/sec, obj=[6.41645032 4.02617341]]
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   INFO - 02:20:15:      2%|▏         | 159/10000 [00:00<00:15, 635.16 it/sec, obj=[6.12094321 3.6615491 ]]
   INFO - 02:20:15:      2%|▏         | 160/10000 [00:00<00:15, 635.86 it/sec, obj=[5.23377261 3.09964047]]
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   INFO - 02:20:15:      2%|▏         | 193/10000 [00:00<00:14, 654.34 it/sec, obj=[5.10845492 3.02528246]]
   INFO - 02:20:15:      2%|▏         | 194/10000 [00:00<00:14, 654.89 it/sec, obj=[5.10845454 3.02528223]]
   INFO - 02:20:15:      2%|▏         | 195/10000 [00:00<00:14, 654.51 it/sec, obj=[18.02214894 11.85421979]]
   INFO - 02:20:15:      2%|▏         | 196/10000 [00:00<00:14, 655.01 it/sec, obj=[6.14198556 3.67396783]]
   INFO - 02:20:15:      2%|▏         | 197/10000 [00:00<00:14, 655.64 it/sec, obj=[5.25783548 3.11403056]]
   INFO - 02:20:15:      2%|▏         | 198/10000 [00:00<00:14, 656.15 it/sec, obj=[5.13236652 3.03930175]]
   INFO - 02:20:15:      2%|▏         | 199/10000 [00:00<00:14, 656.61 it/sec, obj=[5.11235404 3.02756332]]
   INFO - 02:20:15:      2%|▏         | 200/10000 [00:00<00:14, 657.21 it/sec, obj=[5.10909242 3.02565523]]
   INFO - 02:20:15:      2%|▏         | 201/10000 [00:00<00:14, 657.74 it/sec, obj=[5.10855894 3.02534328]]
   INFO - 02:20:15:      2%|▏         | 202/10000 [00:00<00:14, 658.25 it/sec, obj=[5.10847163 3.02529222]]
   INFO - 02:20:15:      2%|▏         | 203/10000 [00:00<00:14, 658.79 it/sec, obj=[5.10845733 3.02528387]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-2.00691941e+01 -1.98238320e-02]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [22.95468833  2.28754017]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      2%|▏         | 204/10000 [00:00<00:15, 642.16 it/sec, obj=[20.29234658 17.24583245]]
   INFO - 02:20:15:      2%|▏         | 205/10000 [00:00<00:15, 641.96 it/sec, obj=[6.41146987 3.58911351]]
   INFO - 02:20:15:      2%|▏         | 206/10000 [00:00<00:15, 642.60 it/sec, obj=[5.62767493 3.26263236]]
   INFO - 02:20:15:      2%|▏         | 207/10000 [00:00<00:15, 642.30 it/sec, obj=[30.91672108  1.63422626]]
   INFO - 02:20:15:      2%|▏         | 208/10000 [00:00<00:15, 642.78 it/sec, obj=[13.60760165  8.31881893]]
   INFO - 02:20:15:      2%|▏         | 209/10000 [00:00<00:15, 643.42 it/sec, obj=[7.19772115 3.73274512]]
   INFO - 02:20:15:      2%|▏         | 210/10000 [00:00<00:15, 643.93 it/sec, obj=[6.35416378 3.36500282]]
   INFO - 02:20:15:      2%|▏         | 211/10000 [00:00<00:15, 643.64 it/sec, obj=[19.28076356 15.27380978]]
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   INFO - 02:20:15:      2%|▏         | 215/10000 [00:00<00:15, 645.89 it/sec, obj=[6.3822566  3.37522136]]
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   INFO - 02:20:15:      2%|▏         | 217/10000 [00:00<00:15, 646.87 it/sec, obj=[6.35658055 3.36588011]]
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   INFO - 02:20:15:      2%|▏         | 222/10000 [00:00<00:15, 648.68 it/sec, obj=[19.52227531 15.82586565]]
   INFO - 02:20:15:      2%|▏         | 223/10000 [00:00<00:15, 649.16 it/sec, obj=[7.43337011 3.77550161]]
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   INFO - 02:20:15:      2%|▏         | 241/10000 [00:00<00:14, 655.34 it/sec, obj=[6.35425503 3.36503572]]
   INFO - 02:20:15:      2%|▏         | 242/10000 [00:00<00:14, 655.84 it/sec, obj=[6.35420409 3.36501738]]
   INFO - 02:20:15:      2%|▏         | 243/10000 [00:00<00:14, 656.23 it/sec, obj=[6.35419107 3.3650127 ]]
   INFO - 02:20:15:      2%|▏         | 244/10000 [00:00<00:14, 655.80 it/sec, obj=[19.53680798 15.85755783]]
   INFO - 02:20:15:      2%|▏         | 245/10000 [00:00<00:14, 655.98 it/sec, obj=[7.42238684 3.77070542]]
   INFO - 02:20:15:      2%|▏         | 246/10000 [00:00<00:14, 656.38 it/sec, obj=[6.60547717 3.45681968]]
   INFO - 02:20:15:      2%|▏         | 247/10000 [00:00<00:14, 656.43 it/sec, obj=[6.4170133  3.38771487]]
   INFO - 02:20:15:      2%|▏         | 248/10000 [00:00<00:14, 656.84 it/sec, obj=[6.37014021 3.37075964]]
   INFO - 02:20:15:      2%|▏         | 249/10000 [00:00<00:14, 657.26 it/sec, obj=[6.35825613 3.36647637]]
   INFO - 02:20:15:      2%|▎         | 250/10000 [00:00<00:14, 657.68 it/sec, obj=[6.35522819 3.36538605]]
   INFO - 02:20:15:      3%|▎         | 251/10000 [00:00<00:14, 658.09 it/sec, obj=[6.35445574 3.36510797]]
   INFO - 02:20:15:      3%|▎         | 252/10000 [00:00<00:14, 658.48 it/sec, obj=[6.35425862 3.36503701]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-19.55908992  -0.34170822]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [22.44458414  2.60942456]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      3%|▎         | 253/10000 [00:00<00:15, 643.74 it/sec, obj=[20.1627419  17.04505875]]
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   INFO - 02:20:15:      3%|▎         | 294/10000 [00:00<00:14, 653.97 it/sec, obj=[21.12055039  2.07356895]]
   INFO - 02:20:15:      3%|▎         | 295/10000 [00:00<00:14, 654.02 it/sec, obj=[21.13619104  2.01320109]]
   INFO - 02:20:15:      3%|▎         | 296/10000 [00:00<00:14, 654.43 it/sec, obj=[21.14136892  1.99831703]]
   INFO - 02:20:15:      3%|▎         | 297/10000 [00:00<00:14, 654.76 it/sec, obj=[21.14290425  1.99421189]]
   INFO - 02:20:15:      3%|▎         | 298/10000 [00:00<00:14, 655.11 it/sec, obj=[21.14335007  1.99304354]]
   INFO - 02:20:15:      3%|▎         | 299/10000 [00:00<00:14, 655.46 it/sec, obj=[21.14347883  1.99270802]]
   INFO - 02:20:15:      3%|▎         | 300/10000 [00:00<00:14, 655.81 it/sec, obj=[21.14351596  1.99261142]]
   INFO - 02:20:15:      3%|▎         | 301/10000 [00:00<00:14, 656.14 it/sec, obj=[21.14352667  1.99258358]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-19.04898574  -0.66359261]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [21.93447996  2.93130895]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      3%|▎         | 302/10000 [00:00<00:15, 643.33 it/sec, obj=[20.03586903 16.83324868]]
   INFO - 02:20:15:      3%|▎         | 303/10000 [00:00<00:15, 643.17 it/sec, obj=[6.77377035 3.75167734]]
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   INFO - 02:20:15:      3%|▎         | 306/10000 [00:00<00:15, 643.11 it/sec, obj=[19.90814462  4.03115301]]
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   INFO - 02:20:15:      3%|▎         | 343/10000 [00:00<00:14, 652.70 it/sec, obj=[20.52538361  2.70943885]]
   INFO - 02:20:15:      3%|▎         | 344/10000 [00:00<00:14, 653.01 it/sec, obj=[20.42120846  2.7597353 ]]
   INFO - 02:20:15:      3%|▎         | 345/10000 [00:00<00:14, 653.34 it/sec, obj=[20.39177904  2.77425226]]
   INFO - 02:20:15:      3%|▎         | 346/10000 [00:00<00:14, 653.68 it/sec, obj=[20.38314045  2.77853987]]
   INFO - 02:20:15:      3%|▎         | 347/10000 [00:00<00:14, 653.96 it/sec, obj=[20.3805763   2.77981485]]
   INFO - 02:20:15:      3%|▎         | 348/10000 [00:00<00:14, 654.27 it/sec, obj=[20.37981268  2.78019475]]
   INFO - 02:20:15:      3%|▎         | 349/10000 [00:00<00:14, 654.62 it/sec, obj=[20.37958505  2.78030802]]
   INFO - 02:20:15:      4%|▎         | 350/10000 [00:00<00:14, 654.88 it/sec, obj=[20.37951717  2.78034179]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-18.53888155  -0.98547701]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [21.42437577  3.25319334]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      4%|▎         | 351/10000 [00:00<00:14, 643.42 it/sec, obj=[19.91172795 16.61153226]]
   INFO - 02:20:15:      4%|▎         | 352/10000 [00:00<00:14, 643.28 it/sec, obj=[6.98077525 3.8455079 ]]
   INFO - 02:20:15:      4%|▎         | 353/10000 [00:00<00:14, 643.16 it/sec, obj=[22.60872994  1.88395045]]
   INFO - 02:20:15:      4%|▎         | 354/10000 [00:00<00:15, 642.94 it/sec, obj=[17.72520898 19.01797333]]
   INFO - 02:20:15:      4%|▎         | 355/10000 [00:00<00:14, 643.24 it/sec, obj=[20.20337981  2.56043744]]
   INFO - 02:20:15:      4%|▎         | 356/10000 [00:00<00:14, 643.09 it/sec, obj=[19.8190467   3.74857433]]
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   INFO - 02:20:15:      4%|▍         | 395/10000 [00:00<00:14, 651.12 it/sec, obj=[20.42914043  2.84295173]]
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   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-18.02877737  -1.3073614 ]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [20.91427159  3.57507773]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      4%|▍         | 400/10000 [00:00<00:14, 641.53 it/sec, obj=[19.51597421 15.85147167]]
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   INFO - 02:20:15:      4%|▍         | 448/10000 [00:00<00:14, 649.01 it/sec, obj=[20.17875993  3.12015228]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-17.51867318  -1.62924579]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [20.4041674   3.89696212]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      4%|▍         | 449/10000 [00:00<00:14, 638.64 it/sec, obj=[19.066705   15.01159606]]
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   INFO - 02:20:15:      5%|▍         | 487/10000 [00:00<00:14, 643.43 it/sec, obj=[19.32652431  3.41640535]]
   INFO - 02:20:15:      5%|▍         | 488/10000 [00:00<00:14, 643.63 it/sec, obj=[19.3265462   3.41634387]]
   INFO - 02:20:15:      5%|▍         | 489/10000 [00:00<00:14, 643.84 it/sec, obj=[19.32655282  3.41632529]]
   INFO - 02:20:15:      5%|▍         | 490/10000 [00:00<00:14, 644.11 it/sec, obj=[19.32655482  3.41631967]]
   INFO - 02:20:15:      5%|▍         | 491/10000 [00:00<00:14, 643.96 it/sec, obj=[19.22677501  4.13129289]]
   INFO - 02:20:15:      5%|▍         | 492/10000 [00:00<00:14, 644.18 it/sec, obj=[19.28613574  3.55377221]]
   INFO - 02:20:15:      5%|▍         | 493/10000 [00:00<00:14, 644.22 it/sec, obj=[19.31407895  3.45327558]]
   INFO - 02:20:15:      5%|▍         | 494/10000 [00:00<00:14, 644.39 it/sec, obj=[19.32276239  3.42713936]]
   INFO - 02:20:15:      5%|▍         | 495/10000 [00:00<00:14, 644.62 it/sec, obj=[19.32540427  3.41956609]]
   INFO - 02:20:15:      5%|▍         | 496/10000 [00:00<00:14, 644.88 it/sec, obj=[19.3262059   3.41730092]]
   INFO - 02:20:15:      5%|▍         | 497/10000 [00:00<00:14, 645.07 it/sec, obj=[19.32644902  3.41661692]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-17.008569    -1.95113018]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [19.89406322  4.21884652]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      5%|▍         | 498/10000 [00:00<00:14, 635.42 it/sec, obj=[18.11456055 13.34016429]]
   INFO - 02:20:15:      5%|▍         | 499/10000 [00:00<00:14, 635.38 it/sec, obj=[7.91555839 4.17983512]]
   INFO - 02:20:15:      5%|▌         | 500/10000 [00:00<00:14, 635.25 it/sec, obj=[19.08066229  4.8273551 ]]
   INFO - 02:20:15:      5%|▌         | 501/10000 [00:00<00:14, 635.32 it/sec, obj=[11.57926967  7.45017941]]
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   INFO - 02:20:15:      5%|▌         | 535/10000 [00:00<00:14, 639.89 it/sec, obj=[8.79908466 4.33601021]]
   INFO - 02:20:15:      5%|▌         | 536/10000 [00:00<00:14, 639.78 it/sec, obj=[10.98568657  5.43881871]]
   INFO - 02:20:15:      5%|▌         | 537/10000 [00:00<00:14, 639.96 it/sec, obj=[9.10228797 4.44596427]]
   INFO - 02:20:15:      5%|▌         | 538/10000 [00:00<00:14, 640.01 it/sec, obj=[8.85615488 4.35529451]]
   INFO - 02:20:15:      5%|▌         | 539/10000 [00:00<00:14, 640.20 it/sec, obj=[8.81043712 4.33979168]]
   INFO - 02:20:15:      5%|▌         | 540/10000 [00:00<00:14, 640.38 it/sec, obj=[8.80136757 4.33676845]]
   INFO - 02:20:15:      5%|▌         | 541/10000 [00:00<00:14, 640.58 it/sec, obj=[8.79954474 4.33616293]]
   INFO - 02:20:15:      5%|▌         | 542/10000 [00:00<00:14, 640.77 it/sec, obj=[8.79917742 4.336041  ]]
   INFO - 02:20:15:      5%|▌         | 543/10000 [00:00<00:14, 640.97 it/sec, obj=[8.79910336 4.33601642]]
   INFO - 02:20:15:      5%|▌         | 544/10000 [00:00<00:14, 641.02 it/sec, obj=[8.79908843 4.33601147]]
   INFO - 02:20:15:      5%|▌         | 545/10000 [00:00<00:14, 641.21 it/sec, obj=[8.79908542 4.33601047]]
   INFO - 02:20:15:      5%|▌         | 546/10000 [00:00<00:14, 641.39 it/sec, obj=[8.79908481 4.33601027]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-16.49846481  -2.27301457]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [19.38395903  4.54073091]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      5%|▌         | 547/10000 [00:00<00:14, 631.93 it/sec, obj=[16.7834378  11.26552275]]
   INFO - 02:20:15:      5%|▌         | 548/10000 [00:00<00:14, 631.86 it/sec, obj=[8.47272966 4.34003723]]
   INFO - 02:20:15:      5%|▌         | 549/10000 [00:00<00:14, 631.80 it/sec, obj=[17.72065298  8.74801372]]
   INFO - 02:20:15:      6%|▌         | 550/10000 [00:00<00:14, 631.99 it/sec, obj=[10.17749829  5.07574   ]]
   INFO - 02:20:15:      6%|▌         | 551/10000 [00:00<00:14, 632.17 it/sec, obj=[9.07455805 4.42528721]]
   INFO - 02:20:15:      6%|▌         | 552/10000 [00:00<00:14, 631.92 it/sec, obj=[17.35486694 10.11481759]]
   INFO - 02:20:15:      6%|▌         | 553/10000 [00:00<00:14, 632.12 it/sec, obj=[9.84193951 4.92129485]]
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   INFO - 02:20:15:      6%|▌         | 560/10000 [00:00<00:14, 633.42 it/sec, obj=[9.07455992 4.42528824]]
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   INFO - 02:20:15:      6%|▌         | 563/10000 [00:00<00:14, 633.61 it/sec, obj=[18.02158415 11.84997092]]
   INFO - 02:20:15:      6%|▌         | 564/10000 [00:00<00:14, 633.77 it/sec, obj=[9.82548358 4.8351792 ]]
   INFO - 02:20:15:      6%|▌         | 565/10000 [00:00<00:14, 633.96 it/sec, obj=[9.17613876 4.47730684]]
   INFO - 02:20:15:      6%|▌         | 566/10000 [00:00<00:14, 634.19 it/sec, obj=[9.08936078 4.43279134]]
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   INFO - 02:20:15:      6%|▌         | 570/10000 [00:00<00:14, 635.01 it/sec, obj=[9.07456511 4.42529078]]
   INFO - 02:20:15:      6%|▌         | 571/10000 [00:00<00:14, 635.21 it/sec, obj=[9.07455913 4.42528776]]
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   INFO - 02:20:15:      6%|▌         | 584/10000 [00:00<00:14, 637.18 it/sec, obj=[9.07455813 4.42528725]]
   INFO - 02:20:15:      6%|▌         | 585/10000 [00:00<00:14, 636.36 it/sec, obj=[12.93928742  6.84303866]]
   INFO - 02:20:15:      6%|▌         | 586/10000 [00:00<00:14, 636.55 it/sec, obj=[9.47740286 4.6271758 ]]
   INFO - 02:20:15:      6%|▌         | 587/10000 [00:00<00:14, 636.72 it/sec, obj=[9.13126531 4.45296948]]
   INFO - 02:20:15:      6%|▌         | 588/10000 [00:00<00:14, 636.88 it/sec, obj=[9.08281377 4.42930179]]
   INFO - 02:20:15:      6%|▌         | 589/10000 [00:00<00:14, 636.93 it/sec, obj=[9.07576586 4.42587421]]
   INFO - 02:20:15:      6%|▌         | 590/10000 [00:00<00:14, 637.09 it/sec, obj=[9.07473494 4.42537317]]
   INFO - 02:20:15:      6%|▌         | 591/10000 [00:00<00:14, 637.27 it/sec, obj=[9.07458402 4.42529983]]
   INFO - 02:20:15:      6%|▌         | 592/10000 [00:00<00:14, 637.48 it/sec, obj=[9.07456192 4.4252891 ]]
   INFO - 02:20:15:      6%|▌         | 593/10000 [00:00<00:14, 637.66 it/sec, obj=[9.07455869 4.42528752]]
   INFO - 02:20:15:      6%|▌         | 594/10000 [00:00<00:14, 637.82 it/sec, obj=[9.07455821 4.42528729]]
   INFO - 02:20:15:      6%|▌         | 595/10000 [00:00<00:14, 637.87 it/sec, obj=[9.07455814 4.42528726]]
   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-15.98836063  -2.59489896]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [18.87385485  4.8626153 ]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      6%|▌         | 596/10000 [00:00<00:14, 628.93 it/sec, obj=[15.50320649  9.55611018]]
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   INFO - 02:20:15:      6%|▋         | 639/10000 [00:01<00:14, 635.54 it/sec, obj=[9.13663074 4.54618927]]
   INFO - 02:20:15:      6%|▋         | 640/10000 [00:01<00:14, 635.71 it/sec, obj=[9.13662915 4.5461884 ]]
   INFO - 02:20:15:      6%|▋         | 641/10000 [00:01<00:14, 635.81 it/sec, obj=[9.13662889 4.54618826]]
   INFO - 02:20:15:      6%|▋         | 642/10000 [00:01<00:14, 635.47 it/sec, obj=[16.90638755 10.80315196]]
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   INFO - 02:20:15: Optimization result:
   INFO - 02:20:15:    Optimizer info:
   INFO - 02:20:15:       Status: None
   INFO - 02:20:15:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:15:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:15:    Solution:
   INFO - 02:20:15:       The solution is feasible.
   INFO - 02:20:15:       Objective: 0.0673616171539137
   INFO - 02:20:15:       Standardized constraints:
   INFO - 02:20:15:          beta_sub_optim_constraint = [-15.47825644  -2.91678335]
   INFO - 02:20:15:       Design space:
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15: Solving mNBI sub-problem for phi_beta = [18.36375066  5.18449969]
   INFO - 02:20:15: Optimization problem:
   INFO - 02:20:15:    minimize -t_extraction
   INFO - 02:20:15:    with respect to t, x, y
   INFO - 02:20:15:    subject to constraints:
   INFO - 02:20:15:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:15:    over the design space:
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:15:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:15:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:15:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:15:      6%|▋         | 645/10000 [00:01<00:14, 627.74 it/sec, obj=[14.27386659  8.16865102]]
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   INFO - 02:20:16:      7%|▋         | 688/10000 [00:01<00:14, 633.46 it/sec, obj=[5.07516808 2.93120633]]
   INFO - 02:20:16:      7%|▋         | 689/10000 [00:01<00:14, 633.60 it/sec, obj=[5.07516243 2.93120403]]
   INFO - 02:20:16:      7%|▋         | 690/10000 [00:01<00:14, 633.79 it/sec, obj=[5.07516187 2.9312038 ]]
   INFO - 02:20:16:      7%|▋         | 691/10000 [00:01<00:14, 633.95 it/sec, obj=[5.07516181 2.93120378]]
   INFO - 02:20:16:      7%|▋         | 692/10000 [00:01<00:14, 634.10 it/sec, obj=[5.0751618  2.93120378]]
   INFO - 02:20:16:      7%|▋         | 693/10000 [00:01<00:14, 634.05 it/sec, obj=[13.70497352  7.48815776]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: 0.0673616171539137
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-14.96815226  -3.23866775]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [17.85364648  5.50638408]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      7%|▋         | 694/10000 [00:01<00:14, 626.14 it/sec, obj=[13.09541813  7.05685272]]
   INFO - 02:20:16:      7%|▋         | 695/10000 [00:01<00:14, 625.87 it/sec, obj=[5.0306039  2.92032106]]
   INFO - 02:20:16:      7%|▋         | 696/10000 [00:01<00:14, 625.81 it/sec, obj=[9.237522   8.32159199]]
   INFO - 02:20:16:      7%|▋         | 697/10000 [00:01<00:14, 625.97 it/sec, obj=[5.37370209 3.17647008]]
   INFO - 02:20:16:      7%|▋         | 698/10000 [00:01<00:14, 626.14 it/sec, obj=[5.08540871 2.95269317]]
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   INFO - 02:20:16:      7%|▋         | 704/10000 [00:01<00:14, 627.11 it/sec, obj=[5.03060731 2.92032296]]
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   INFO - 02:20:16:      7%|▋         | 707/10000 [00:01<00:14, 627.38 it/sec, obj=[12.43507547  6.60857936]]
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   INFO - 02:20:16:      7%|▋         | 710/10000 [00:01<00:14, 627.89 it/sec, obj=[5.06920762 2.93748297]]
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   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: 0.0673616171539137
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-14.45804807  -3.56055214]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [17.34354229  5.82826847]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      7%|▋         | 743/10000 [00:01<00:14, 624.79 it/sec, obj=[11.96786108  6.17714154]]
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   INFO - 02:20:16:      8%|▊         | 791/10000 [00:01<00:14, 630.58 it/sec, obj=[9.80465211 4.92723325]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: 0.0673616171539137
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-13.94794389  -3.88243653]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [16.83343811  6.15015286]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      8%|▊         | 792/10000 [00:01<00:14, 622.80 it/sec, obj=[10.89119546  5.49335688]]
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   INFO - 02:20:16:      8%|▊         | 829/10000 [00:01<00:14, 627.05 it/sec, obj=[10.60038308  5.30124438]]
   INFO - 02:20:16:      8%|▊         | 830/10000 [00:01<00:14, 627.18 it/sec, obj=[10.4617572   5.21616661]]
   INFO - 02:20:16:      8%|▊         | 831/10000 [00:01<00:14, 627.34 it/sec, obj=[10.44794641  5.20775105]]
   INFO - 02:20:16:      8%|▊         | 832/10000 [00:01<00:14, 627.47 it/sec, obj=[10.44656584  5.20691042]]
   INFO - 02:20:16:      8%|▊         | 833/10000 [00:01<00:14, 627.61 it/sec, obj=[10.44642779  5.20682637]]
   INFO - 02:20:16:      8%|▊         | 834/10000 [00:01<00:14, 627.77 it/sec, obj=[10.44641399  5.20681796]]
   INFO - 02:20:16:      8%|▊         | 835/10000 [00:01<00:14, 627.90 it/sec, obj=[10.44641261  5.20681712]]
   INFO - 02:20:16:      8%|▊         | 836/10000 [00:01<00:14, 628.03 it/sec, obj=[10.44641247  5.20681704]]
   INFO - 02:20:16:      8%|▊         | 837/10000 [00:01<00:14, 628.19 it/sec, obj=[10.44641246  5.20681703]]
   INFO - 02:20:16:      8%|▊         | 838/10000 [00:01<00:14, 628.32 it/sec, obj=[10.44641245  5.20681703]]
   INFO - 02:20:16:      8%|▊         | 839/10000 [00:01<00:14, 628.26 it/sec, obj=[11.8326756   6.08863183]]
   INFO - 02:20:16:      8%|▊         | 840/10000 [00:01<00:14, 628.42 it/sec, obj=[10.58110445  5.28761714]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: 0.0673616171539137
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-13.4378397   -4.20432092]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [16.32333392  6.47203726]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      8%|▊         | 841/10000 [00:01<00:14, 621.30 it/sec, obj=[9.86542127 4.98000322]]
   INFO - 02:20:16:      8%|▊         | 842/10000 [00:01<00:14, 621.08 it/sec, obj=[9.97740249 8.42390818]]
   INFO - 02:20:16:      8%|▊         | 843/10000 [00:01<00:14, 621.24 it/sec, obj=[9.59486512 4.72049736]]
   INFO - 02:20:16:      8%|▊         | 844/10000 [00:01<00:14, 621.18 it/sec, obj=[12.94767549  7.28627688]]
   INFO - 02:20:16:      8%|▊         | 845/10000 [00:01<00:14, 621.32 it/sec, obj=[9.89874128 4.92616894]]
   INFO - 02:20:16:      8%|▊         | 846/10000 [00:01<00:14, 621.47 it/sec, obj=[9.62493868 4.740099  ]]
   INFO - 02:20:16:      8%|▊         | 847/10000 [00:01<00:14, 621.59 it/sec, obj=[9.59786933 4.72244731]]
   INFO - 02:20:16:      8%|▊         | 848/10000 [00:01<00:14, 621.74 it/sec, obj=[9.59516551 4.72069225]]
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   INFO - 02:20:16:      8%|▊         | 850/10000 [00:01<00:14, 622.03 it/sec, obj=[9.59486812 4.72049931]]
   INFO - 02:20:16:      9%|▊         | 851/10000 [00:01<00:14, 622.17 it/sec, obj=[9.59486542 4.72049755]]
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   INFO - 02:20:16:      9%|▊         | 855/10000 [00:01<00:14, 622.56 it/sec, obj=[12.90382302  6.96436095]]
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   INFO - 02:20:16:      9%|▊         | 857/10000 [00:01<00:14, 622.84 it/sec, obj=[9.625304   4.73831098]]
   INFO - 02:20:16:      9%|▊         | 858/10000 [00:01<00:14, 622.99 it/sec, obj=[9.5979066  4.72227327]]
   INFO - 02:20:16:      9%|▊         | 859/10000 [00:01<00:14, 623.11 it/sec, obj=[9.59516924 4.72067489]]
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   INFO - 02:20:16:      9%|▉         | 878/10000 [00:01<00:14, 625.34 it/sec, obj=[9.91902691 4.89903034]]
   INFO - 02:20:16:      9%|▉         | 879/10000 [00:01<00:14, 625.49 it/sec, obj=[9.63508104 4.74230006]]
   INFO - 02:20:16:      9%|▉         | 880/10000 [00:01<00:14, 625.61 it/sec, obj=[9.59997628 4.72326276]]
   INFO - 02:20:16:      9%|▉         | 881/10000 [00:01<00:14, 625.75 it/sec, obj=[9.59551669 4.7208498 ]]
   INFO - 02:20:16:      9%|▉         | 882/10000 [00:01<00:14, 625.91 it/sec, obj=[9.59494821 4.7205423 ]]
   INFO - 02:20:16:      9%|▉         | 883/10000 [00:01<00:14, 626.02 it/sec, obj=[9.59487571 4.72050309]]
   INFO - 02:20:16:      9%|▉         | 884/10000 [00:01<00:14, 626.16 it/sec, obj=[9.59486647 4.72049809]]
   INFO - 02:20:16:      9%|▉         | 885/10000 [00:01<00:14, 626.31 it/sec, obj=[9.59486529 4.72049745]]
   INFO - 02:20:16:      9%|▉         | 886/10000 [00:01<00:14, 626.44 it/sec, obj=[9.59486514 4.72049737]]
   INFO - 02:20:16:      9%|▉         | 887/10000 [00:01<00:14, 626.57 it/sec, obj=[9.59486512 4.72049736]]
   INFO - 02:20:16:      9%|▉         | 888/10000 [00:01<00:14, 626.54 it/sec, obj=[12.5881143   6.59148139]]
   INFO - 02:20:16:      9%|▉         | 889/10000 [00:01<00:14, 626.65 it/sec, obj=[9.90794932 4.88954985]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: 0.0673616171539137
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-12.92773552  -4.52620531]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [15.81322974  6.79392165] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [15.30312555  7.11580604] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [14.79302137  7.43769043] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [14.28291718  7.75957482] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [13.772813    8.08145921] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [13.26270881  8.4033436 ] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [12.75260463  8.72522799] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [12.24250044  9.04711239] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [11.73239626  9.36899678] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [11.22229207  9.69088117] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [10.71218789 10.01276556] because the resulting solution is already known.
   INFO - 02:20:16: Skipping sub-optimization for phi_beta = [10.2020837  10.33464995] because the resulting solution is already known.
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 9.69197952 10.65653434]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -2.767799311088018 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 |  1.241738597946052  | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | -0.0673616171539137 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 890/10000 [00:01<00:15, 599.24 it/sec, obj=[ 1.16147645 14.51158858]]
   INFO - 02:20:16:      9%|▉         | 891/10000 [00:01<00:15, 599.04 it/sec, obj=[0.791284   7.42376715]]
   INFO - 02:20:16:      9%|▉         | 892/10000 [00:01<00:15, 599.05 it/sec, obj=[1.19273167 5.41315608]]
   INFO - 02:20:16:      9%|▉         | 893/10000 [00:01<00:15, 599.02 it/sec, obj=[1.21779944 5.30885792]]
   INFO - 02:20:16:      9%|▉         | 894/10000 [00:01<00:15, 599.00 it/sec, obj=[1.21773044 5.3091419 ]]
   INFO - 02:20:16:      9%|▉         | 895/10000 [00:01<00:15, 598.82 it/sec, obj=[1.21773096 5.30913977]]
   INFO - 02:20:16:      9%|▉         | 896/10000 [00:01<00:15, 598.68 it/sec, obj=[1.21773096 5.30913979]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 10
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.33903634538866156
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [9.93347626e-10 2.43561646e-06]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589782 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | 0.09438656911240617 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.3390363453886616 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 9.18187533 10.97841873]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589782 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | 0.09438656911240617 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.3390363453886616 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 897/10000 [00:01<00:15, 592.36 it/sec, obj=[1.08499643 5.88784014]]
   INFO - 02:20:16:      9%|▉         | 898/10000 [00:01<00:15, 592.34 it/sec, obj=[1.0885754  5.87136184]]
   INFO - 02:20:16:      9%|▉         | 899/10000 [00:01<00:15, 592.18 it/sec, obj=[1.08856631 5.87140364]]
   INFO - 02:20:16:      9%|▉         | 900/10000 [00:01<00:15, 592.03 it/sec, obj=[1.08856633 5.87140351]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 7
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.32379575933422783
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [1.93072225e-11 1.50792798e-07]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | 0.03369135933149181 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.3237957593342278 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 8.67177115 11.30030313]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | 0.03369135933149181 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.3237957593342278 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 901/10000 [00:01<00:15, 585.95 it/sec, obj=[0.96861253 6.45171003]]
   INFO - 02:20:16:      9%|▉         | 902/10000 [00:01<00:15, 585.94 it/sec, obj=[0.97074729 6.44086349]]
   INFO - 02:20:16:      9%|▉         | 903/10000 [00:01<00:15, 585.79 it/sec, obj=[0.97075376 6.44083066]]
   INFO - 02:20:16:      9%|▉         | 904/10000 [00:01<00:15, 585.64 it/sec, obj=[0.97075378 6.44083057]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 7
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.30810132753001995
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [1.19972746e-06 3.77685874e-05]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.02496214794441842 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |   0.30810132753002   |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 8.16166696 11.62218752]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.02496214794441842 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |   0.30810132753002   |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 905/10000 [00:01<00:15, 579.77 it/sec, obj=[0.86158708 7.02107037]]
   INFO - 02:20:16:      9%|▉         | 906/10000 [00:01<00:15, 579.76 it/sec, obj=[0.862444   7.01630656]]
   INFO - 02:20:16:      9%|▉         | 907/10000 [00:01<00:15, 579.63 it/sec, obj=[0.8624524  7.01625986]]
   INFO - 02:20:16:      9%|▉         | 908/10000 [00:01<00:15, 579.49 it/sec, obj=[0.86245248 7.0162594 ]]
   INFO - 02:20:16:      9%|▉         | 909/10000 [00:01<00:15, 579.37 it/sec, obj=[0.86245249 7.0162594 ]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 8
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.29202610512603416
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [2.18034843e-07 5.26564849e-05]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.08217892856254627 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.2920261051260342  |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 7.65156278 11.94407191]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value         |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793  | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.08217892856254627 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.2920261051260342  |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+----------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 910/10000 [00:01<00:15, 573.70 it/sec, obj=[0.76257756 7.59514857]]
   INFO - 02:20:16:      9%|▉         | 911/10000 [00:01<00:15, 573.70 it/sec, obj=[0.76230423 7.59680034]]
   INFO - 02:20:16:      9%|▉         | 912/10000 [00:01<00:15, 573.57 it/sec, obj=[0.76229944 7.59682934]]
   INFO - 02:20:16:      9%|▉         | 913/10000 [00:01<00:15, 573.45 it/sec, obj=[0.76229935 7.59682985]]
   INFO - 02:20:16:      9%|▉         | 914/10000 [00:01<00:15, 573.33 it/sec, obj=[0.76229935 7.59682986]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 8
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.27562450356134205
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-1.55075952e-12 -1.78227211e-10]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.1384601747582987 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.275624503561342  |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 7.14145859 12.2659563 ]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.1384601747582987 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.275624503561342  |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 915/10000 [00:01<00:16, 567.65 it/sec, obj=[0.67057437 8.17332943]]
   INFO - 02:20:16:      9%|▉         | 916/10000 [00:01<00:16, 567.65 it/sec, obj=[0.66929886 8.18166841]]
   INFO - 02:20:16:      9%|▉         | 917/10000 [00:01<00:16, 567.53 it/sec, obj=[0.66926555 8.18188629]]
   INFO - 02:20:16:      9%|▉         | 918/10000 [00:01<00:16, 567.43 it/sec, obj=[0.66926468 8.18189201]]
   INFO - 02:20:16:      9%|▉         | 919/10000 [00:01<00:16, 567.31 it/sec, obj=[0.66926466 8.18189216]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 8
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.25893845680875505
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [ 9.41469125e-14 -4.44766535e-09]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.1942604780852375 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.258938456808755  |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 6.63135441 12.58784069]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.1942604780852375 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.258938456808755  |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 920/10000 [00:01<00:16, 561.83 it/sec, obj=[0.58480944 8.75511462]]
   INFO - 02:20:16:      9%|▉         | 921/10000 [00:01<00:16, 561.84 it/sec, obj=[0.58264246 8.77038891]]
   INFO - 02:20:16:      9%|▉         | 922/10000 [00:01<00:16, 561.75 it/sec, obj=[0.58256569 8.77093062]]
   INFO - 02:20:16:      9%|▉         | 923/10000 [00:01<00:16, 561.63 it/sec, obj=[0.58256295 8.77094993]]
   INFO - 02:20:16:      9%|▉         | 924/10000 [00:01<00:16, 561.54 it/sec, obj=[0.58256285 8.77095061]]
   INFO - 02:20:16:      9%|▉         | 925/10000 [00:01<00:16, 561.43 it/sec, obj=[0.58256285 8.77095064]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 9
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.24199904502930292
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-5.53335155e-13 -9.89144766e-10]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.2499904205027543 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.2419990450293029 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 6.12125022 12.90972508]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.2499904205027543 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.2419990450293029 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 926/10000 [00:01<00:16, 556.62 it/sec, obj=[0.58256285 8.77095064]]
   INFO - 02:20:16:      9%|▉         | 927/10000 [00:01<00:16, 556.46 it/sec, obj=[0.50469952 9.34009406]]
   INFO - 02:20:16:      9%|▉         | 928/10000 [00:01<00:16, 556.48 it/sec, obj=[0.50173767 9.36255591]]
   INFO - 02:20:16:      9%|▉         | 929/10000 [00:01<00:16, 556.37 it/sec, obj=[0.50160292 9.36357923]]
   INFO - 02:20:16:      9%|▉         | 930/10000 [00:01<00:16, 556.27 it/sec, obj=[0.50159676 9.36362602]]
   INFO - 02:20:16:      9%|▉         | 931/10000 [00:01<00:16, 556.18 it/sec, obj=[0.50159648 9.36362816]]
   INFO - 02:20:16:      9%|▉         | 932/10000 [00:01<00:16, 556.09 it/sec, obj=[0.50159647 9.36362826]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 9
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.2248301712187969
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-2.74447132e-13 -5.07787101e-09]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.3060634113439167 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.2248301712187969 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 5.61114604 13.23160947]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.3060634113439167 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.2248301712187969 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 933/10000 [00:01<00:16, 550.98 it/sec, obj=[0.42981225 9.92792076]]
   INFO - 02:20:16:      9%|▉         | 934/10000 [00:01<00:16, 550.94 it/sec, obj=[0.42614119 9.95785396]]
   INFO - 02:20:16:      9%|▉         | 935/10000 [00:01<00:16, 550.85 it/sec, obj=[0.42593434 9.95954389]]
   INFO - 02:20:16:      9%|▉         | 936/10000 [00:01<00:16, 550.75 it/sec, obj=[0.42592265 9.95963942]]
   INFO - 02:20:16:      9%|▉         | 937/10000 [00:01<00:16, 550.67 it/sec, obj=[0.42592199 9.95964482]]
   INFO - 02:20:16:      9%|▉         | 938/10000 [00:01<00:16, 550.58 it/sec, obj=[0.42592195 9.95964512]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 9
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.20744958156341936
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [ 2.60236277e-13 -1.97045487e-08]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.3629180048057954 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.2074495815634194 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 5.10104185 13.55349387]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.3629180048057954 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.2074495815634194 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 939/10000 [00:01<00:16, 545.55 it/sec, obj=[ 0.3598479  10.51829307]]
   INFO - 02:20:16:      9%|▉         | 940/10000 [00:01<00:16, 545.57 it/sec, obj=[ 0.35554621 10.55604149]]
   INFO - 02:20:16:      9%|▉         | 941/10000 [00:01<00:16, 545.49 it/sec, obj=[ 0.35525326 10.55861873]]
   INFO - 02:20:16:      9%|▉         | 942/10000 [00:01<00:16, 545.35 it/sec, obj=[ 0.35523329 10.55879441]]
   INFO - 02:20:16:      9%|▉         | 943/10000 [00:01<00:16, 545.28 it/sec, obj=[ 0.35523193 10.55880639]]
   INFO - 02:20:16:      9%|▉         | 944/10000 [00:01<00:16, 545.20 it/sec, obj=[ 0.35523184 10.5588072 ]]
   INFO - 02:20:16:      9%|▉         | 945/10000 [00:01<00:16, 545.13 it/sec, obj=[ 0.35523183 10.55880726]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 10
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.18986957657768383
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-8.91731133e-13 -4.36118031e-09]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.4210497817100149 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.1898695765776838 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 4.59093767 13.87537826]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.4210497817100149 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.1898695765776838 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:      9%|▉         | 946/10000 [00:01<00:16, 540.27 it/sec, obj=[ 0.29463575 11.1109372 ]]
   INFO - 02:20:16:      9%|▉         | 947/10000 [00:01<00:16, 540.32 it/sec, obj=[ 0.28977979 11.15694061]]
   INFO - 02:20:16:      9%|▉         | 948/10000 [00:01<00:16, 540.23 it/sec, obj=[ 0.28938674 11.16067644]]
   INFO - 02:20:16:      9%|▉         | 949/10000 [00:01<00:16, 540.18 it/sec, obj=[ 0.28935499 11.16097835]]
   INFO - 02:20:16:     10%|▉         | 950/10000 [00:01<00:16, 540.09 it/sec, obj=[ 0.28935242 11.16100273]]
   INFO - 02:20:16:     10%|▉         | 951/10000 [00:01<00:16, 540.04 it/sec, obj=[ 0.28935221 11.1610047 ]]
   INFO - 02:20:16:     10%|▉         | 952/10000 [00:01<00:16, 539.96 it/sec, obj=[ 0.2893522  11.16100486]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 10
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.17209711488213686
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-2.20268248e-13 -1.49106976e-08]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.4810551882910383 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.1720971148821369 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 4.08083348 14.19726265]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.4810551882910383 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.1720971148821369 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:     10%|▉         | 953/10000 [00:01<00:16, 535.16 it/sec, obj=[ 0.23414712 11.70558644]]
   INFO - 02:20:16:     10%|▉         | 954/10000 [00:01<00:16, 535.19 it/sec, obj=[ 0.22881851 11.76043162]]
   INFO - 02:20:16:     10%|▉         | 955/10000 [00:01<00:16, 535.13 it/sec, obj=[ 0.22831142 11.76567383]]
   INFO - 02:20:16:     10%|▉         | 956/10000 [00:01<00:16, 535.06 it/sec, obj=[ 0.2282634  11.76617049]]
   INFO - 02:20:16:     10%|▉         | 957/10000 [00:01<00:16, 535.00 it/sec, obj=[ 0.22825885 11.76621751]]
   INFO - 02:20:16:     10%|▉         | 958/10000 [00:01<00:16, 534.94 it/sec, obj=[ 0.22825842 11.76622196]]
   INFO - 02:20:16:     10%|▉         | 959/10000 [00:01<00:16, 534.89 it/sec, obj=[ 0.22825838 11.76622238]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 10
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.15413318279754634
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [ 5.10258502e-13 -4.67227972e-08]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.14159265358979  | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.5436997672227943 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.1541331827975463 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 3.5707293  14.51914704]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.14159265358979  | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.5436997672227943 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.1541331827975463 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:     10%|▉         | 960/10000 [00:01<00:17, 530.30 it/sec, obj=[ 0.17853381 12.30194918]]
   INFO - 02:20:16:     10%|▉         | 961/10000 [00:01<00:17, 530.34 it/sec, obj=[ 0.17283298 12.36645075]]
   INFO - 02:20:16:     10%|▉         | 962/10000 [00:01<00:17, 530.27 it/sec, obj=[ 0.17219878 12.37367093]]
   INFO - 02:20:16:     10%|▉         | 963/10000 [00:01<00:17, 530.22 it/sec, obj=[ 0.1721288  12.37446823]]
   INFO - 02:20:16:     10%|▉         | 964/10000 [00:01<00:17, 530.17 it/sec, obj=[ 0.17212108 12.37455613]]
   INFO - 02:20:16:     10%|▉         | 965/10000 [00:01<00:17, 530.11 it/sec, obj=[ 0.17212023 12.37456582]]
   INFO - 02:20:16:     10%|▉         | 966/10000 [00:01<00:17, 530.06 it/sec, obj=[ 0.17212014 12.37456689]]
   INFO - 02:20:16:     10%|▉         | 967/10000 [00:01<00:17, 530.01 it/sec, obj=[ 0.17212013 12.374567  ]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 11
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.13597098951358078
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [ 3.75699472e-13 -1.53922746e-08]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.6100363519846259 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        |  0.1359709895135808 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 3.06062511 14.84103143]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589793 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.6100363519846259 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        |  0.1359709895135808 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:     10%|▉         | 968/10000 [00:01<00:17, 525.52 it/sec, obj=[ 0.12821418 12.89964645]]
   INFO - 02:20:16:     10%|▉         | 969/10000 [00:01<00:17, 525.57 it/sec, obj=[ 0.12228921 12.97498679]]
   INFO - 02:20:16:     10%|▉         | 970/10000 [00:01<00:17, 525.51 it/sec, obj=[ 0.12151899 12.98487437]]
   INFO - 02:20:16:     10%|▉         | 971/10000 [00:01<00:17, 525.46 it/sec, obj=[ 0.12142001 12.98614668]]
   INFO - 02:20:16:     10%|▉         | 972/10000 [00:01<00:17, 525.41 it/sec, obj=[ 0.12140731 12.98630995]]
   INFO - 02:20:16:     10%|▉         | 973/10000 [00:01<00:17, 525.36 it/sec, obj=[ 0.12140568 12.98633089]]
   INFO - 02:20:16:     10%|▉         | 974/10000 [00:01<00:17, 525.32 it/sec, obj=[ 0.12140547 12.98633358]]
   INFO - 02:20:16:     10%|▉         | 975/10000 [00:01<00:17, 525.28 it/sec, obj=[ 0.12140545 12.98633392]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 11
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.11759181075714328
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [ 7.90478794e-14 -5.31944961e-08]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 | -3.141592653589792 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.681633912301451 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | 0.1175918107571433 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 2.55052093 15.16291582]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |       Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 | -3.141592653589792 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.681633912301451 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | 0.1175918107571433 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+--------------------+-------------------+-------+
   INFO - 02:20:16:     10%|▉         | 976/10000 [00:01<00:17, 520.68 it/sec, obj=[ 0.08406651 13.49806287]]
   INFO - 02:20:16:     10%|▉         | 977/10000 [00:01<00:17, 520.73 it/sec, obj=[ 0.07818579 13.58605722]]
   INFO - 02:20:16:     10%|▉         | 978/10000 [00:01<00:17, 520.79 it/sec, obj=[ 0.0772876  13.59973118]]
   INFO - 02:20:16:     10%|▉         | 979/10000 [00:01<00:17, 520.73 it/sec, obj=[ 0.07715224 13.60179742]]
   INFO - 02:20:16:     10%|▉         | 980/10000 [00:01<00:17, 520.69 it/sec, obj=[ 0.0771319  13.60210817]]
   INFO - 02:20:16:     10%|▉         | 981/10000 [00:01<00:17, 520.65 it/sec, obj=[ 0.07712884 13.60215487]]
   INFO - 02:20:16:     10%|▉         | 982/10000 [00:01<00:17, 520.60 it/sec, obj=[ 0.07712838 13.60216189]]
   INFO - 02:20:16:     10%|▉         | 983/10000 [00:01<00:17, 520.54 it/sec, obj=[ 0.07712831 13.60216294]]
   INFO - 02:20:16:     10%|▉         | 984/10000 [00:01<00:17, 520.49 it/sec, obj=[ 0.0771283 13.6021631]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 12
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.09895508019083565
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [ 5.01820807e-14 -2.91785931e-08]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.7610861674840845 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | 0.09895508019083565 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 2.04041674 15.48480021]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589792 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.7610861674840845 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | 0.09895508019083565 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:     10%|▉         | 985/10000 [00:01<00:17, 516.23 it/sec, obj=[ 0.04791436 14.0959123 ]]
   INFO - 02:20:16:     10%|▉         | 986/10000 [00:01<00:17, 516.29 it/sec, obj=[ 0.04269424 14.1995577 ]]
   INFO - 02:20:16:     10%|▉         | 987/10000 [00:01<00:17, 516.34 it/sec, obj=[ 0.04174981 14.21914056]]
   INFO - 02:20:16:     10%|▉         | 988/10000 [00:01<00:17, 516.30 it/sec, obj=[ 0.04157981 14.22269634]]
   INFO - 02:20:16:     10%|▉         | 989/10000 [00:01<00:17, 516.26 it/sec, obj=[ 0.04154925 14.22333646]]
   INFO - 02:20:16:     10%|▉         | 990/10000 [00:01<00:17, 516.23 it/sec, obj=[ 0.04154376 14.22345151]]
   INFO - 02:20:16:     10%|▉         | 991/10000 [00:01<00:17, 516.19 it/sec, obj=[ 0.04154278 14.22347218]]
   INFO - 02:20:16:     10%|▉         | 992/10000 [00:01<00:17, 516.15 it/sec, obj=[ 0.0415426 14.2234759]]
   INFO - 02:20:16:     10%|▉         | 993/10000 [00:01<00:17, 516.12 it/sec, obj=[ 0.04154257 14.22347656]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 12
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.07997062492691796
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [-1.88071780e-13 -1.50570939e-07]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.141592653589786 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 |  -0.853391377166826 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | 0.07997062492691796 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 1.53031256 15.80668461]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.141592653589786 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 |  -0.853391377166826 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | 0.07997062492691796 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:     10%|▉         | 994/10000 [00:01<00:17, 511.99 it/sec, obj=[ 0.02404016 14.6895733 ]]
   INFO - 02:20:16:     10%|▉         | 995/10000 [00:01<00:17, 512.03 it/sec, obj=[ 0.02023392 14.87188951]]
   INFO - 02:20:16:     10%|▉         | 996/10000 [00:01<00:17, 512.11 it/sec, obj=[ 0.02056571 14.84511341]]
   INFO - 02:20:16:     10%|▉         | 997/10000 [00:01<00:17, 512.05 it/sec, obj=[ 0.02037868 14.85389941]]
   INFO - 02:20:16:     10%|▉         | 998/10000 [00:01<00:17, 512.03 it/sec, obj=[ 0.02037886 14.85392822]]
   INFO - 02:20:16:     10%|▉         | 999/10000 [00:01<00:17, 512.10 it/sec, obj=[ 0.0203787 14.8539023]]
   INFO - 02:20:16:     10%|█         | 1000/10000 [00:01<00:17, 512.18 it/sec, obj=[ 0.02037868 14.8538997 ]]
   INFO - 02:20:16:     10%|█         | 1001/10000 [00:01<00:17, 512.24 it/sec, obj=[ 0.02037868 14.85389944]]
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 11
   INFO - 02:20:16:    Solution:
   INFO - 02:20:16:       The solution is feasible.
   INFO - 02:20:16:       Objective: -0.06040920532383892
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [5.60111716e-07 9.04408340e-06]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.124905919705975 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 |  -0.930882763564246 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | 0.06040920532383892 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 1.02020837 16.128569  ]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.124905919705975 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 |  -0.930882763564246 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | 0.06040920532383892 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:     10%|█         | 1002/10000 [00:01<00:17, 508.25 it/sec, obj=[9.12656513e-03 1.54680181e+01]]
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   INFO - 02:20:16:     10%|█         | 1044/10000 [00:02<00:17, 514.53 it/sec, obj=[8.60536717e-03 1.54984912e+01]]
   INFO - 02:20:16:     10%|█         | 1045/10000 [00:02<00:17, 514.69 it/sec, obj=[8.60536704e-03 1.54984912e+01]]
   INFO - 02:20:16:     10%|█         | 1046/10000 [00:02<00:17, 514.85 it/sec, obj=[8.60536703e-03 1.54984912e+01]]
   INFO - 02:20:16:     10%|█         | 1047/10000 [00:02<00:17, 515.02 it/sec, obj=[8.60536702e-03 1.54984912e+01]]
   INFO - 02:20:16:     10%|█         | 1048/10000 [00:02<00:17, 515.17 it/sec, obj=[8.60536702e-03 1.54984912e+01]]
   INFO - 02:20:16:     10%|█         | 1049/10000 [00:02<00:17, 515.23 it/sec, obj=[8.71509076e-03 1.54908267e+01]]
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WARNING - 02:20:16: Optimization found no feasible point; the least infeasible point is selected.
   INFO - 02:20:16: Optimization result:
   INFO - 02:20:16:    Optimizer info:
   INFO - 02:20:16:       Status: None
   INFO - 02:20:16:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:16:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:16:    Solution:
WARNING - 02:20:16:       The solution is not feasible.
   INFO - 02:20:16:       Objective: -0.040466751751926475
   INFO - 02:20:16:       Standardized constraints:
   INFO - 02:20:16:          beta_sub_optim_constraint = [ 0.00013485 -0.01630359]
   INFO - 02:20:16:       Design space:
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:          | x    | -3.141592653589793 |  -3.087316862617205 | 3.141592653589793 | float |
   INFO - 02:20:16:          | y    | -3.141592653589793 | -0.9646691227098176 | 3.141592653589793 | float |
   INFO - 02:20:16:          | t    |        -inf        | 0.04046675175192647 |        inf        | float |
   INFO - 02:20:16:          +------+--------------------+---------------------+-------------------+-------+
WARNING - 02:20:16: No feasible optimum has been found for phi_beta = [ 1.02020837 16.128569  ]
   INFO - 02:20:16: Solving mNBI sub-problem for phi_beta = [ 0.51010419 16.45045339]
   INFO - 02:20:16: Optimization problem:
   INFO - 02:20:16:    minimize -t_extraction
   INFO - 02:20:16:    with respect to t, x, y
   INFO - 02:20:16:    subject to constraints:
   INFO - 02:20:16:       beta_sub_optim_constraint <= 0.0
   INFO - 02:20:16:    over the design space:
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:       | x    | -3.141592653589793 |  -3.087316862617205 | 3.141592653589793 | float |
   INFO - 02:20:16:       | y    | -3.141592653589793 | -0.9646691227098176 | 3.141592653589793 | float |
   INFO - 02:20:16:       | t    |        -inf        | 0.04046675175192647 |        inf        | float |
   INFO - 02:20:16:       +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:16:     11%|█         | 1051/10000 [00:02<00:17, 510.92 it/sec, obj=[2.39861934e-03 1.61472739e+01]]
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   INFO - 02:20:17:     11%|█         | 1097/10000 [00:02<00:17, 516.80 it/sec, obj=[2.09937894e-03 1.61300130e+01]]
   INFO - 02:20:17:     11%|█         | 1098/10000 [00:02<00:17, 516.95 it/sec, obj=[2.09937894e-03 1.61300130e+01]]
   INFO - 02:20:17:     11%|█         | 1099/10000 [00:02<00:17, 517.01 it/sec, obj=[2.10013625e-03 1.61299216e+01]]
   INFO - 02:20:17: Optimization result:
   INFO - 02:20:17:    Optimizer info:
   INFO - 02:20:17:       Status: None
   INFO - 02:20:17:       Message: Maximum number of iterations reached. GEMSEO stopped the driver.
   INFO - 02:20:17:       Number of calls to the objective function by the optimizer: 52
   INFO - 02:20:17:    Solution:
   INFO - 02:20:17:       The solution is feasible.
   INFO - 02:20:17:       Objective: -0.020324141386589323
   INFO - 02:20:17:       Standardized constraints:
   INFO - 02:20:17:          beta_sub_optim_constraint = [5.67628278e-10 3.40475537e-05]
   INFO - 02:20:17:       Design space:
   INFO - 02:20:17:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:17:          | Name |    Lower bound     |        Value        |    Upper bound    | Type  |
   INFO - 02:20:17:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:17:          | x    | -3.141592653589793 |  -3.041694142116649 | 3.141592653589793 | float |
   INFO - 02:20:17:          | y    | -3.141592653589793 | -0.9809806738509521 | 3.141592653589793 | float |
   INFO - 02:20:17:          | t    |        -inf        | 0.02032414138658932 |        inf        | float |
   INFO - 02:20:17:          +------+--------------------+---------------------+-------------------+-------+
   INFO - 02:20:17: Optimization result:
   INFO - 02:20:17:    Optimizer info:
   INFO - 02:20:17:       Status: None
   INFO - 02:20:17:       Message: None
   INFO - 02:20:17:       Number of calls to the objective function by the optimizer: 1210
   INFO - 02:20:17:    Solution:
   INFO - 02:20:17:       Objective: 5.184922387175974
   INFO - 02:20:17:    Pareto efficient solutions:
   INFO - 02:20:17:       Pareto optimal points : 244 / 1099
   INFO - 02:20:17:       Utopia point : [0.        1.0000026]
   INFO - 02:20:17:       Compromise solution (closest to utopia) : [[1.21779944 5.30885792]]
   INFO - 02:20:17:       Distance from utopia : 4.477641080897207
   INFO - 02:20:17:       Objective values:
   INFO - 02:20:17:          +------+---------+---------+---------+
   INFO - 02:20:17:          | name |       1 |       2 |       3 |
   INFO - 02:20:17:          +------+---------+---------+---------+
   INFO - 02:20:17:          |    1 |       0 | 24.9951 |  1.2178 |
   INFO - 02:20:17:          |    2 | 16.7723 |       1 | 5.30886 |
   INFO - 02:20:17:          +------+---------+---------+---------+
   INFO - 02:20:17:       Design space:
   INFO - 02:20:17:          +-------+-------------+----+----------+-----------+-------------+-------+
   INFO - 02:20:17:          |  name | lower_bound |  1 |        2 |         3 | upper_bound |  type |
   INFO - 02:20:17:          +-------+-------------+----+----------+-----------+-------------+-------+
   INFO - 02:20:17:          | x (1) |    -3.14159 | -3 | 0.999363 |  -3.14159 |     3.14159 | float |
   INFO - 02:20:17:          | y (1) |    -3.14159 | -1 |  2.00003 | 0.0944181 |     3.14159 | float |
   INFO - 02:20:17:          +-------+-------------+----+----------+-----------+-------------+-------+

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, post_name="ParetoFront", save=False, show=True)
Pareto front
<gemseo.post.pareto_front.ParetoFront object at 0x7fb2aaa88fa0>

Total running time of the script: (0 minutes 3.022 seconds)

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