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Multi-objective Poloni example with the mNBI algorithm¶
In this example,
the modified Normal Boundary Intersection (mNBI) algorithm is used to
solve the Poloni problem [PGOP00]:
\[\begin{split}\begin{aligned}
&a1 = 0.5 * sin(1) - 2 * cos(1) + sin(2) - 1.5 * cos(2)\\
&a2 = 1.5 * sin(1) - cos(1) + 2 * sin(2) - 0.5 * cos(2)\\
&b1(x, y) = 0.5 * sin(x) - 2 * cos(x) + sin(y) - 1.5 * cos(y)\\
&b2(x, y) = 1.5 * sin(x) - cos(x) + 2 * sin(y) - 0.5 * cos(y)\\
\text{minimize the objective function}\\
& f_1(x, y) = 1 + (a1 - b1(x,y)^2 + (a2 - b2(x,y))^2 \\
& f_2(x, y) = (x + 3)^2 + (y + 1)^2 \\
\text{with respect to the design variables }\\
&x \\
\text{subject to the bound constraints }\\
& -\pi \leq x \leq \pi\\
& -\pi \leq y \leq \pi
\end{aligned}\end{split}\]
It is an interesting one because its Pareto front is discontinuous.
from __future__ import annotations
from gemseo import configure_logger
from gemseo import execute_algo
from gemseo import execute_post
from gemseo.problems.analytical.poloni import Poloni
configure_logger()
<RootLogger root (INFO)>
Solve the Poloni optimization problem¶
The 10 sub-optimization problems of mNBI are solved with SLSQP, a gradient-based optimization algorithm from the NLOPT library, with a maximum of 50 iterations. The analytic gradients are provided.
opt_problem = Poloni()
result = execute_algo(
opt_problem,
"MNBI",
max_iter=10000,
sub_optim_max_iter=50,
n_sub_optim=50,
sub_optim_algo="SLSQP",
)
INFO - 13:53:09: Optimization problem:
INFO - 13:53:09: minimize Poloni
INFO - 13:53:09: with respect to x, y
INFO - 13:53:09: over the design space:
INFO - 13:53:09: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:09: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:09: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:09: | x | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:09: | y | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:09: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:09: Solving optimization problem with algorithm MNBI:
INFO - 13:53:09: Searching for the individual optimum of each objective
INFO - 13:53:09: Optimization problem:
INFO - 13:53:09: minimize f_0
INFO - 13:53:09: with respect to x, y
INFO - 13:53:09: over the design space:
INFO - 13:53:09: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:09: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:09: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:09: | x | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:09: | y | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:09: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:09: Optimization result:
INFO - 13:53:09: Optimizer info:
INFO - 13:53:09: Status: None
INFO - 13:53:09: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:09: Number of calls to the objective function by the optimizer: 10
INFO - 13:53:09: Solution:
INFO - 13:53:09: Objective: 2.2463319640185718e-26
INFO - 13:53:09: Design space:
INFO - 13:53:09: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:09: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:09: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:09: | x | -3.141592653589793 | -2.999999999999858 | 3.141592653589793 | float |
INFO - 13:53:09: | y | -3.141592653589793 | -0.9999999999999524 | 3.141592653589793 | float |
INFO - 13:53:09: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize f_1
INFO - 13:53:10: with respect to x, y
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:10: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:10: 1%| | 51/10000 [00:00<00:18, 530.88 it/sec, obj=[24.96950184 1.00002711]]
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INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
INFO - 13:53:10: Objective: 1.0000171321654794
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+-------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+-------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.000941264187149 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.995400159407935 | 3.141592653589793 | float |
INFO - 13:53:10: +------+--------------------+-------------------+-------------------+-------+
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.02040816 0.97959184]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+-------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 0 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0 | inf | float |
INFO - 13:53:10: +------+--------------------+-------+-------------------+-------+
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INFO - 13:53:10: 1%| | 107/10000 [00:00<00:17, 571.58 it/sec, obj=[24.16812896 1.15110162]]
WARNING - 13:53:10: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
WARNING - 13:53:10: The solution is not feasible.
INFO - 13:53:10: Objective: -0.01164561234214461
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [0.00063825 0.00623536]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.314225868198866 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.359522136777711 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.01164561234214461 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
WARNING - 13:53:10: No feasible optimum has been found for beta=[0.02040816 0.97959184]
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.04081633 0.95918367]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.314225868198866 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.359522136777711 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.01164561234214461 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
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INFO - 13:53:10: 2%|▏ | 154/10000 [00:00<00:17, 575.99 it/sec, obj=[23.3500547 1.7321383]]
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INFO - 13:53:10: 2%|▏ | 156/10000 [00:00<00:17, 578.04 it/sec, obj=[23.31593834 1.26209611]]
WARNING - 13:53:10: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
WARNING - 13:53:10: The solution is not feasible.
INFO - 13:53:10: Objective: -0.025483658150866638
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [0.00052376 0.00941854]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.251341663072848 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.291375227145739 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.02548365815086664 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
WARNING - 13:53:10: No feasible optimum has been found for beta=[0.04081633 0.95918367]
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.06122449 0.93877551]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.251341663072848 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.291375227145739 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.02548365815086664 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: 2%|▏ | 157/10000 [00:00<00:18, 543.03 it/sec, obj=[22.5252334 1.49935858]]
INFO - 13:53:10: 2%|▏ | 158/10000 [00:00<00:18, 543.33 it/sec, obj=[22.64314059 1.4657663 ]]
INFO - 13:53:10: 2%|▏ | 159/10000 [00:00<00:18, 544.44 it/sec, obj=[22.57840624 1.48396484]]
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INFO - 13:53:10: 2%|▏ | 191/10000 [00:00<00:17, 573.81 it/sec, obj=[22.61045235 1.67360332]]
INFO - 13:53:10: 2%|▏ | 192/10000 [00:00<00:17, 574.63 it/sec, obj=[22.53175926 1.51921834]]
INFO - 13:53:10: 2%|▏ | 193/10000 [00:00<00:17, 575.53 it/sec, obj=[22.52620692 1.50227747]]
INFO - 13:53:10: 2%|▏ | 194/10000 [00:00<00:17, 576.43 it/sec, obj=[22.52546161 1.49978144]]
INFO - 13:53:10: 2%|▏ | 195/10000 [00:00<00:16, 577.23 it/sec, obj=[22.52534938 1.49939986]]
INFO - 13:53:10: 2%|▏ | 196/10000 [00:00<00:16, 578.12 it/sec, obj=[22.52533217 1.4993412 ]]
INFO - 13:53:10: 2%|▏ | 197/10000 [00:00<00:16, 578.99 it/sec, obj=[22.52532952 1.49933217]]
INFO - 13:53:10: 2%|▏ | 198/10000 [00:00<00:16, 579.79 it/sec, obj=[22.52532912 1.49933078]]
INFO - 13:53:10: 2%|▏ | 199/10000 [00:00<00:16, 580.65 it/sec, obj=[22.52532905 1.49933057]]
INFO - 13:53:10: 2%|▏ | 200/10000 [00:00<00:16, 581.51 it/sec, obj=[22.52532904 1.49933054]]
INFO - 13:53:10: 2%|▏ | 201/10000 [00:00<00:16, 582.35 it/sec, obj=[22.52532904 1.49933053]]
INFO - 13:53:10: 2%|▏ | 202/10000 [00:00<00:16, 582.57 it/sec, obj=[22.61062245 1.68296765]]
INFO - 13:53:10: 2%|▏ | 203/10000 [00:00<00:16, 583.40 it/sec, obj=[22.53134221 1.51984849]]
INFO - 13:53:10: 2%|▏ | 204/10000 [00:00<00:16, 584.22 it/sec, obj=[22.5261342 1.50234656]]
INFO - 13:53:10: 2%|▏ | 205/10000 [00:00<00:16, 584.98 it/sec, obj=[22.52544956 1.49978881]]
WARNING - 13:53:10: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
WARNING - 13:53:10: The solution is not feasible.
INFO - 13:53:10: Objective: -0.03233746070320915
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [0.00036062 0.01013368]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.202418673146802 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.232222634607576 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03233746070320915 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
WARNING - 13:53:10: No feasible optimum has been found for beta=[0.06122449 0.93877551]
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.08163265 0.91836735]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.202418673146802 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.232222634607576 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03233746070320915 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: 2%|▏ | 206/10000 [00:00<00:17, 557.79 it/sec, obj=[21.9694404 1.78480125]]
INFO - 13:53:10: 2%|▏ | 207/10000 [00:00<00:17, 558.01 it/sec, obj=[22.06847374 1.74311099]]
INFO - 13:53:10: 2%|▏ | 208/10000 [00:00<00:17, 558.84 it/sec, obj=[22.01160189 1.76685463]]
INFO - 13:53:10: 2%|▏ | 209/10000 [00:00<00:17, 559.64 it/sec, obj=[21.98878661 1.77652972]]
INFO - 13:53:10: 2%|▏ | 210/10000 [00:00<00:17, 560.47 it/sec, obj=[21.97860377 1.78087569]]
INFO - 13:53:10: 2%|▏ | 211/10000 [00:00<00:17, 561.31 it/sec, obj=[21.97384401 1.78291301]]
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INFO - 13:53:10: 2%|▏ | 240/10000 [00:00<00:16, 581.43 it/sec, obj=[22.05454663 1.87197177]]
INFO - 13:53:10: 2%|▏ | 241/10000 [00:00<00:16, 582.06 it/sec, obj=[21.97702557 1.79294964]]
INFO - 13:53:10: 2%|▏ | 242/10000 [00:00<00:16, 582.76 it/sec, obj=[21.97024135 1.78558839]]
INFO - 13:53:10: 2%|▏ | 243/10000 [00:00<00:16, 583.45 it/sec, obj=[21.9695726 1.7848575]]
INFO - 13:53:10: 2%|▏ | 244/10000 [00:00<00:16, 584.09 it/sec, obj=[21.96950583 1.78478447]]
INFO - 13:53:10: 2%|▏ | 245/10000 [00:00<00:16, 584.78 it/sec, obj=[21.96949915 1.78477717]]
INFO - 13:53:10: 2%|▏ | 246/10000 [00:00<00:16, 585.46 it/sec, obj=[21.96949848 1.78477643]]
INFO - 13:53:10: 2%|▏ | 247/10000 [00:00<00:16, 586.08 it/sec, obj=[21.96949842 1.78477636]]
INFO - 13:53:10: 2%|▏ | 248/10000 [00:00<00:16, 586.73 it/sec, obj=[21.96949841 1.78477635]]
INFO - 13:53:10: 2%|▏ | 249/10000 [00:00<00:16, 587.40 it/sec, obj=[21.96949841 1.78477635]]
INFO - 13:53:10: 2%|▎ | 250/10000 [00:00<00:16, 588.08 it/sec, obj=[21.96949841 1.78477635]]
INFO - 13:53:10: 3%|▎ | 251/10000 [00:00<00:16, 588.23 it/sec, obj=[22.05431215 1.87914499]]
INFO - 13:53:10: 3%|▎ | 252/10000 [00:00<00:16, 588.82 it/sec, obj=[21.97690916 1.79359397]]
INFO - 13:53:10: 3%|▎ | 253/10000 [00:00<00:16, 589.39 it/sec, obj=[21.97022878 1.78565214]]
INFO - 13:53:10: 3%|▎ | 254/10000 [00:00<00:16, 589.98 it/sec, obj=[21.96957134 1.78486387]]
WARNING - 13:53:10: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
WARNING - 13:53:10: The solution is not feasible.
INFO - 13:53:10: Objective: -0.03492805470593496
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [0.00020164 0.00645396]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.158882982754278 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.184528798349672 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03492805470593496 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
WARNING - 13:53:10: No feasible optimum has been found for beta=[0.08163265 0.91836735]
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.10204082 0.89795918]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.158882982754278 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.184528798349672 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03492805470593496 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: 3%|▎ | 255/10000 [00:00<00:17, 565.34 it/sec, obj=[21.47712757 2.10858338]]
INFO - 13:53:10: 3%|▎ | 256/10000 [00:00<00:17, 565.59 it/sec, obj=[21.56004223 2.06027985]]
INFO - 13:53:10: 3%|▎ | 257/10000 [00:00<00:17, 565.84 it/sec, obj=[21.55966742 2.07241593]]
INFO - 13:53:10: 3%|▎ | 258/10000 [00:00<00:17, 566.52 it/sec, obj=[21.55999903 2.06148724]]
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INFO - 13:53:10: 3%|▎ | 303/10000 [00:00<00:16, 591.04 it/sec, obj=[21.55998627 2.06100791]]
WARNING - 13:53:10: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
WARNING - 13:53:10: The solution is not feasible.
INFO - 13:53:10: Objective: -0.03486951209708061
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [0.0001027 0.00081537]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.116795160377279 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.147566025971696 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03486951209708061 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
WARNING - 13:53:10: No feasible optimum has been found for beta=[0.10204082 0.89795918]
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.12244898 0.87755102]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.116795160377279 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.147566025971696 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03486951209708061 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
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INFO - 13:53:10: 3%|▎ | 345/10000 [00:00<00:16, 589.01 it/sec, obj=[21.09157364 2.41042673]]
INFO - 13:53:10: 3%|▎ | 346/10000 [00:00<00:16, 589.49 it/sec, obj=[21.09157362 2.41042659]]
INFO - 13:53:10: 3%|▎ | 347/10000 [00:00<00:16, 589.95 it/sec, obj=[21.09157362 2.41042657]]
INFO - 13:53:10: 3%|▎ | 348/10000 [00:00<00:16, 590.38 it/sec, obj=[21.09157362 2.41042657]]
INFO - 13:53:10: 3%|▎ | 349/10000 [00:00<00:16, 590.83 it/sec, obj=[21.09157362 2.41042657]]
INFO - 13:53:10: 4%|▎ | 350/10000 [00:00<00:16, 591.29 it/sec, obj=[21.09157362 2.41042657]]
INFO - 13:53:10: 4%|▎ | 351/10000 [00:00<00:16, 591.43 it/sec, obj=[21.09359303 2.42666408]]
INFO - 13:53:10: 4%|▎ | 352/10000 [00:00<00:16, 591.88 it/sec, obj=[21.09176693 2.41204112]]
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
INFO - 13:53:10: The solution is feasible.
INFO - 13:53:10: Objective: -0.03305554383985526
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [ 5.76258689e-05 -5.08326588e-03]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.074706865472084 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.119499704267622 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03305554383985526 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.14285714 0.85714286]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.074706865472084 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.119499704267622 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03305554383985526 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: 4%|▎ | 353/10000 [00:00<00:16, 575.28 it/sec, obj=[20.6045969 2.82720643]]
INFO - 13:53:10: 4%|▎ | 354/10000 [00:00<00:16, 575.42 it/sec, obj=[20.66249675 2.76967802]]
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INFO - 13:53:10: 4%|▍ | 390/10000 [00:00<00:16, 577.55 it/sec, obj=[20.6353942 2.76479021]]
INFO - 13:53:10: 4%|▍ | 391/10000 [00:00<00:16, 577.71 it/sec, obj=[20.63540017 2.76339523]]
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INFO - 13:53:10: 4%|▍ | 393/10000 [00:00<00:16, 578.21 it/sec, obj=[20.63540089 2.76324185]]
INFO - 13:53:10: 4%|▍ | 394/10000 [00:00<00:16, 578.06 it/sec, obj=[20.63539529 2.76478935]]
INFO - 13:53:10: 4%|▍ | 395/10000 [00:00<00:16, 578.20 it/sec, obj=[20.63540027 2.76339654]]
INFO - 13:53:10: 4%|▍ | 396/10000 [00:00<00:16, 578.63 it/sec, obj=[20.63540082 2.76325732]]
INFO - 13:53:10: 4%|▍ | 397/10000 [00:00<00:16, 578.70 it/sec, obj=[20.63540088 2.7632434 ]]
INFO - 13:53:10: 4%|▍ | 398/10000 [00:00<00:16, 578.59 it/sec, obj=[20.63539638 2.76478849]]
INFO - 13:53:10: 4%|▍ | 399/10000 [00:00<00:16, 578.72 it/sec, obj=[20.63540038 2.76339784]]
INFO - 13:53:10: 4%|▍ | 400/10000 [00:00<00:16, 579.13 it/sec, obj=[20.63540083 2.76325884]]
INFO - 13:53:10: 4%|▍ | 401/10000 [00:00<00:16, 579.24 it/sec, obj=[20.63540087 2.76324494]]
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
INFO - 13:53:10: The solution is feasible.
INFO - 13:53:10: Objective: -0.03106467336337866
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [1.07482805e-06 3.59617989e-05]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.022660773241064 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.110354396290455 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03106467336337866 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.16326531 0.83673469]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 1.022660773241064 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.110354396290455 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.03106467336337866 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: 4%|▍ | 402/10000 [00:00<00:16, 565.59 it/sec, obj=[20.18393269 3.20103377]]
INFO - 13:53:10: 4%|▍ | 403/10000 [00:00<00:16, 565.72 it/sec, obj=[20.23525573 3.14146706]]
INFO - 13:53:10: 4%|▍ | 404/10000 [00:00<00:16, 565.56 it/sec, obj=[20.22657468 3.14284907]]
INFO - 13:53:10: 4%|▍ | 405/10000 [00:00<00:16, 565.50 it/sec, obj=[20.22216264 3.12399309]]
INFO - 13:53:10: 4%|▍ | 406/10000 [00:00<00:16, 565.41 it/sec, obj=[20.20745252 3.12128496]]
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INFO - 13:53:10: 4%|▍ | 408/10000 [00:00<00:16, 565.20 it/sec, obj=[20.19724621 3.13294368]]
INFO - 13:53:10: 4%|▍ | 409/10000 [00:00<00:16, 565.62 it/sec, obj=[20.19718038 3.1306853 ]]
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INFO - 13:53:10: 4%|▍ | 438/10000 [00:00<00:16, 576.41 it/sec, obj=[20.19717319 3.13043454]]
INFO - 13:53:10: 4%|▍ | 439/10000 [00:00<00:16, 576.80 it/sec, obj=[20.19717319 3.13043454]]
INFO - 13:53:10: 4%|▍ | 440/10000 [00:00<00:16, 577.16 it/sec, obj=[20.19717319 3.13043454]]
INFO - 13:53:10: 4%|▍ | 441/10000 [00:00<00:16, 577.28 it/sec, obj=[20.19724624 3.132902 ]]
INFO - 13:53:10: 4%|▍ | 442/10000 [00:00<00:16, 577.66 it/sec, obj=[20.19718038 3.13068113]]
INFO - 13:53:10: 4%|▍ | 443/10000 [00:00<00:16, 577.99 it/sec, obj=[20.19717391 3.13045919]]
INFO - 13:53:10: 4%|▍ | 444/10000 [00:00<00:16, 578.33 it/sec, obj=[20.19717327 3.130437 ]]
INFO - 13:53:10: 4%|▍ | 445/10000 [00:00<00:16, 578.71 it/sec, obj=[20.1971732 3.13043478]]
INFO - 13:53:10: 4%|▍ | 446/10000 [00:00<00:16, 579.05 it/sec, obj=[20.1971732 3.13043456]]
INFO - 13:53:10: 4%|▍ | 447/10000 [00:00<00:16, 579.43 it/sec, obj=[20.19717319 3.13043454]]
INFO - 13:53:10: 4%|▍ | 448/10000 [00:00<00:16, 579.71 it/sec, obj=[20.19717319 3.13043454]]
INFO - 13:53:10: 4%|▍ | 449/10000 [00:00<00:16, 580.04 it/sec, obj=[20.19717319 3.13043454]]
INFO - 13:53:10: 4%|▍ | 450/10000 [00:00<00:16, 580.42 it/sec, obj=[20.19717319 3.13043454]]
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
INFO - 13:53:10: The solution is feasible.
INFO - 13:53:10: Objective: -0.027790469244029486
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [ 6.37143059e-05 -1.54847368e-02]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0.9694784972869636 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.109666555984181 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.02779046924402949 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.18367347 0.81632653]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0.9694784972869636 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.109666555984181 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.02779046924402949 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: 5%|▍ | 451/10000 [00:00<00:16, 567.50 it/sec, obj=[19.77312354 3.58820597]]
INFO - 13:53:10: 5%|▍ | 452/10000 [00:00<00:16, 567.60 it/sec, obj=[19.82335135 3.52426086]]
INFO - 13:53:10: 5%|▍ | 453/10000 [00:00<00:16, 567.45 it/sec, obj=[19.81460148 3.52644318]]
INFO - 13:53:10: 5%|▍ | 454/10000 [00:00<00:16, 567.39 it/sec, obj=[19.81041958 3.50736075]]
INFO - 13:53:10: 5%|▍ | 455/10000 [00:00<00:16, 567.28 it/sec, obj=[19.796268 3.50526683]]
INFO - 13:53:10: 5%|▍ | 456/10000 [00:00<00:16, 567.22 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: 5%|▍ | 457/10000 [00:00<00:16, 566.91 it/sec, obj=[19.78656965 3.51740637]]
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INFO - 13:53:10: 5%|▍ | 487/10000 [00:00<00:16, 576.61 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: 5%|▍ | 488/10000 [00:00<00:16, 576.93 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: 5%|▍ | 489/10000 [00:00<00:16, 577.26 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: 5%|▍ | 490/10000 [00:00<00:16, 577.40 it/sec, obj=[19.78656969 3.51734083]]
INFO - 13:53:10: 5%|▍ | 491/10000 [00:00<00:16, 577.71 it/sec, obj=[19.78647077 3.51518328]]
INFO - 13:53:10: 5%|▍ | 492/10000 [00:00<00:16, 578.05 it/sec, obj=[19.78646097 3.51496764]]
INFO - 13:53:10: 5%|▍ | 493/10000 [00:00<00:16, 578.39 it/sec, obj=[19.78645999 3.51494608]]
INFO - 13:53:10: 5%|▍ | 494/10000 [00:00<00:16, 578.71 it/sec, obj=[19.78645989 3.51494393]]
INFO - 13:53:10: 5%|▍ | 495/10000 [00:00<00:16, 579.05 it/sec, obj=[19.78645988 3.51494371]]
INFO - 13:53:10: 5%|▍ | 496/10000 [00:00<00:16, 579.39 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: 5%|▍ | 497/10000 [00:00<00:16, 579.73 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: 5%|▍ | 498/10000 [00:00<00:16, 580.04 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: 5%|▍ | 499/10000 [00:00<00:16, 580.37 it/sec, obj=[19.78645988 3.51494369]]
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
INFO - 13:53:10: The solution is feasible.
INFO - 13:53:10: Objective: -0.02384257535180628
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [ 5.59538081e-05 -1.56544106e-02]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0.9182182410763994 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.108040278426651 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.02384257535180628 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.20408163 0.79591837]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0.9182182410763994 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.108040278426651 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.02384257535180628 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: 5%|▌ | 500/10000 [00:00<00:16, 568.42 it/sec, obj=[19.38602692 3.98801093]]
INFO - 13:53:10: 5%|▌ | 501/10000 [00:00<00:16, 568.55 it/sec, obj=[19.43404083 3.9214673 ]]
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INFO - 13:53:10: 5%|▌ | 503/10000 [00:00<00:16, 568.40 it/sec, obj=[19.42115941 3.9045197 ]]
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INFO - 13:53:10: 5%|▌ | 505/10000 [00:00<00:16, 568.26 it/sec, obj=[19.39774671 3.91332398]]
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INFO - 13:53:10: 5%|▌ | 540/10000 [00:00<00:16, 577.58 it/sec, obj=[19.39775975 3.91356464]]
INFO - 13:53:10: 5%|▌ | 541/10000 [00:00<00:16, 577.89 it/sec, obj=[19.39774802 3.91334804]]
INFO - 13:53:10: 5%|▌ | 542/10000 [00:00<00:16, 578.18 it/sec, obj=[19.39774684 3.91332639]]
INFO - 13:53:10: 5%|▌ | 543/10000 [00:00<00:16, 578.47 it/sec, obj=[19.39774673 3.91332422]]
INFO - 13:53:10: 5%|▌ | 544/10000 [00:00<00:16, 578.79 it/sec, obj=[19.39774672 3.913324 ]]
INFO - 13:53:10: 5%|▌ | 545/10000 [00:00<00:16, 579.10 it/sec, obj=[19.39774671 3.91332398]]
INFO - 13:53:10: 5%|▌ | 546/10000 [00:00<00:16, 579.22 it/sec, obj=[19.39774671 3.91332398]]
INFO - 13:53:10: 5%|▌ | 547/10000 [00:00<00:16, 579.52 it/sec, obj=[19.39774671 3.91332398]]
INFO - 13:53:10: 5%|▌ | 548/10000 [00:00<00:16, 579.83 it/sec, obj=[19.39774671 3.91332398]]
INFO - 13:53:10: Optimization result:
INFO - 13:53:10: Optimizer info:
INFO - 13:53:10: Status: None
INFO - 13:53:10: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:10: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:10: Solution:
INFO - 13:53:10: The solution is feasible.
INFO - 13:53:10: Objective: -0.019008335163205423
INFO - 13:53:10: Standardized constraints:
INFO - 13:53:10: beta_sub_optim_constraint = [ 5.08396460e-05 -1.59336477e-02]
INFO - 13:53:10: Design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0.869162511345429 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.106373299903344 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.01900833516320542 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: Solving mNBI sub-problem for beta = [0.2244898 0.7755102]
INFO - 13:53:10: Optimization problem:
INFO - 13:53:10: minimize -t_extraction
INFO - 13:53:10: with respect to t, x, y
INFO - 13:53:10: subject to constraints:
INFO - 13:53:10: beta_sub_optim_constraint <= 0.0
INFO - 13:53:10: over the design space:
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:10: | x | -3.141592653589793 | 0.869162511345429 | 3.141592653589793 | float |
INFO - 13:53:10: | y | -3.141592653589793 | 1.106373299903344 | 3.141592653589793 | float |
INFO - 13:53:10: | t | -inf | 0.01900833516320542 | inf | float |
INFO - 13:53:10: +------+--------------------+---------------------+-------------------+-------+
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INFO - 13:53:10: 6%|▌ | 589/10000 [00:01<00:16, 577.16 it/sec, obj=[19.02735252 4.32346568]]
INFO - 13:53:10: 6%|▌ | 590/10000 [00:01<00:16, 577.42 it/sec, obj=[19.02734153 4.32323883]]
INFO - 13:53:10: 6%|▌ | 591/10000 [00:01<00:16, 577.69 it/sec, obj=[19.02734044 4.32321615]]
INFO - 13:53:10: 6%|▌ | 592/10000 [00:01<00:16, 577.98 it/sec, obj=[19.02734033 4.32321388]]
INFO - 13:53:10: 6%|▌ | 593/10000 [00:01<00:16, 578.24 it/sec, obj=[19.02734032 4.32321365]]
INFO - 13:53:10: 6%|▌ | 594/10000 [00:01<00:16, 578.51 it/sec, obj=[19.02734031 4.32321363]]
INFO - 13:53:10: 6%|▌ | 595/10000 [00:01<00:16, 578.78 it/sec, obj=[19.02734031 4.32321363]]
INFO - 13:53:10: 6%|▌ | 596/10000 [00:01<00:16, 579.06 it/sec, obj=[19.02734031 4.32321363]]
INFO - 13:53:11: 6%|▌ | 597/10000 [00:01<00:16, 579.30 it/sec, obj=[19.02734031 4.32321363]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: -0.013431977351371482
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [ 4.84833632e-05 -1.65232077e-02]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.8217918027494558 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.10490718870699 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | 0.01343197735137148 | inf | float |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.24489796 0.75510204]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.8217918027494558 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.10490718870699 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | 0.01343197735137148 | inf | float |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: 6%|▌ | 598/10000 [00:01<00:16, 567.66 it/sec, obj=[18.66401697 4.82161481]]
INFO - 13:53:11: 6%|▌ | 599/10000 [00:01<00:16, 567.74 it/sec, obj=[18.70907709 4.74945201]]
INFO - 13:53:11: 6%|▌ | 600/10000 [00:01<00:16, 567.67 it/sec, obj=[18.70006403 4.75294223]]
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INFO - 13:53:11: 6%|▌ | 602/10000 [00:01<00:16, 567.53 it/sec, obj=[18.68175077 4.73111471]]
INFO - 13:53:11: 6%|▌ | 603/10000 [00:01<00:16, 567.46 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▌ | 604/10000 [00:01<00:16, 567.41 it/sec, obj=[18.67234984 4.74555835]]
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INFO - 13:53:11: 6%|▌ | 620/10000 [00:01<00:16, 571.38 it/sec, obj=[18.67226187 4.74273082]]
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INFO - 13:53:11: 6%|▋ | 625/10000 [00:01<00:16, 572.67 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 626/10000 [00:01<00:16, 572.78 it/sec, obj=[18.67234989 4.74545683]]
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INFO - 13:53:11: 6%|▋ | 628/10000 [00:01<00:16, 573.29 it/sec, obj=[18.67226274 4.74275804]]
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INFO - 13:53:11: 6%|▋ | 630/10000 [00:01<00:16, 573.76 it/sec, obj=[18.67226188 4.74273106]]
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INFO - 13:53:11: 6%|▋ | 633/10000 [00:01<00:16, 574.52 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 634/10000 [00:01<00:16, 574.79 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 635/10000 [00:01<00:16, 575.05 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 636/10000 [00:01<00:16, 575.30 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 637/10000 [00:01<00:16, 575.40 it/sec, obj=[18.67234989 4.74545361]]
INFO - 13:53:11: 6%|▋ | 638/10000 [00:01<00:16, 575.66 it/sec, obj=[18.67227059 4.74300296]]
INFO - 13:53:11: 6%|▋ | 639/10000 [00:01<00:16, 575.90 it/sec, obj=[18.67226274 4.74275801]]
INFO - 13:53:11: 6%|▋ | 640/10000 [00:01<00:16, 576.17 it/sec, obj=[18.67226196 4.74273351]]
INFO - 13:53:11: 6%|▋ | 641/10000 [00:01<00:16, 576.43 it/sec, obj=[18.67226188 4.74273106]]
INFO - 13:53:11: 6%|▋ | 642/10000 [00:01<00:16, 576.70 it/sec, obj=[18.67226187 4.74273082]]
INFO - 13:53:11: 6%|▋ | 643/10000 [00:01<00:16, 576.93 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 644/10000 [00:01<00:16, 577.19 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 645/10000 [00:01<00:16, 577.38 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: 6%|▋ | 646/10000 [00:01<00:16, 577.61 it/sec, obj=[18.67226187 4.74273079]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: -0.007234238774027523
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [ 4.81362403e-05 -1.74108279e-02]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.7756813943462906 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103801505716712 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | 0.007234238774027523 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.26530612 0.73469388]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.7756813943462906 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103801505716712 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | 0.007234238774027523 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 6%|▋ | 647/10000 [00:01<00:16, 567.39 it/sec, obj=[18.32362144 5.25195205]]
INFO - 13:53:11: 6%|▋ | 648/10000 [00:01<00:16, 567.44 it/sec, obj=[18.36780717 5.17666812]]
INFO - 13:53:11: 6%|▋ | 649/10000 [00:01<00:16, 567.36 it/sec, obj=[18.35855416 5.18054993]]
INFO - 13:53:11: 6%|▋ | 650/10000 [00:01<00:16, 567.27 it/sec, obj=[18.35417742 5.15820441]]
INFO - 13:53:11: 7%|▋ | 651/10000 [00:01<00:16, 567.22 it/sec, obj=[18.33981652 5.15779502]]
INFO - 13:53:11: 7%|▋ | 652/10000 [00:01<00:16, 567.15 it/sec, obj=[18.33004888 5.17031249]]
INFO - 13:53:11: 7%|▋ | 653/10000 [00:01<00:16, 567.08 it/sec, obj=[18.33007395 5.17346763]]
INFO - 13:53:11: 7%|▋ | 654/10000 [00:01<00:16, 567.19 it/sec, obj=[18.3300513 5.17062786]]
INFO - 13:53:11: 7%|▋ | 655/10000 [00:01<00:16, 567.42 it/sec, obj=[18.33004912 5.17034402]]
INFO - 13:53:11: 7%|▋ | 656/10000 [00:01<00:16, 567.51 it/sec, obj=[18.3300489 5.17031564]]
INFO - 13:53:11: 7%|▋ | 657/10000 [00:01<00:16, 567.59 it/sec, obj=[18.33004888 5.1703128 ]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 14
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: -0.0009035817791115461
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [1.69595945e-06 5.37040866e-05]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.72918014826682 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103155795930865 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | 0.0009035817791115461 | inf | float |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.28571429 0.71428571]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.72918014826682 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103155795930865 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | 0.0009035817791115461 | inf | float |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: 7%|▋ | 658/10000 [00:01<00:16, 558.04 it/sec, obj=[17.99434926 5.68685809]]
INFO - 13:53:11: 7%|▋ | 659/10000 [00:01<00:16, 558.12 it/sec, obj=[18.03662255 5.61067627]]
INFO - 13:53:11: 7%|▋ | 660/10000 [00:01<00:16, 558.03 it/sec, obj=[18.027344 5.61490305]]
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INFO - 13:53:11: 7%|▋ | 664/10000 [00:01<00:16, 557.76 it/sec, obj=[17.99857617 5.608162 ]]
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INFO - 13:53:11: 7%|▋ | 669/10000 [00:01<00:16, 558.40 it/sec, obj=[17.99866086 5.60469535]]
INFO - 13:53:11: 7%|▋ | 670/10000 [00:01<00:16, 558.35 it/sec, obj=[17.99861042 5.60804802]]
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INFO - 13:53:11: 7%|▋ | 672/10000 [00:01<00:16, 558.69 it/sec, obj=[17.99866034 5.60472886]]
INFO - 13:53:11: 7%|▋ | 673/10000 [00:01<00:16, 558.64 it/sec, obj=[17.99862711 5.60802562]]
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INFO - 13:53:11: 7%|▋ | 675/10000 [00:01<00:16, 558.96 it/sec, obj=[17.99866 5.60476181]]
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INFO - 13:53:11: 7%|▋ | 680/10000 [00:01<00:16, 559.28 it/sec, obj=[17.99864526 5.60799724]]
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INFO - 13:53:11: 7%|▋ | 687/10000 [00:01<00:16, 560.09 it/sec, obj=[17.99865995 5.60477151]]
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INFO - 13:53:11: 7%|▋ | 694/10000 [00:01<00:16, 560.77 it/sec, obj=[17.99865983 5.60480687]]
INFO - 13:53:11: 7%|▋ | 695/10000 [00:01<00:16, 560.85 it/sec, obj=[17.99865993 5.60477794]]
INFO - 13:53:11: 7%|▋ | 696/10000 [00:01<00:16, 560.82 it/sec, obj=[17.99865178 5.60798851]]
INFO - 13:53:11: 7%|▋ | 697/10000 [00:01<00:16, 560.89 it/sec, obj=[17.99865903 5.60509887]]
INFO - 13:53:11: 7%|▋ | 698/10000 [00:01<00:16, 561.14 it/sec, obj=[17.99865984 5.60481004]]
INFO - 13:53:11: 7%|▋ | 699/10000 [00:01<00:16, 561.20 it/sec, obj=[17.99865992 5.60478115]]
INFO - 13:53:11: 7%|▋ | 700/10000 [00:01<00:16, 561.16 it/sec, obj=[17.9986534 5.60798633]]
INFO - 13:53:11: 7%|▋ | 701/10000 [00:01<00:16, 561.27 it/sec, obj=[17.99865919 5.60510154]]
INFO - 13:53:11: 7%|▋ | 702/10000 [00:01<00:16, 561.49 it/sec, obj=[17.99865985 5.60481319]]
INFO - 13:53:11: 7%|▋ | 703/10000 [00:01<00:16, 561.55 it/sec, obj=[17.99865991 5.60478436]]
INFO - 13:53:11: 7%|▋ | 704/10000 [00:01<00:16, 561.50 it/sec, obj=[17.99865502 5.60798416]]
INFO - 13:53:11: 7%|▋ | 705/10000 [00:01<00:16, 561.61 it/sec, obj=[17.99865934 5.60510421]]
INFO - 13:53:11: 7%|▋ | 706/10000 [00:01<00:16, 561.85 it/sec, obj=[17.99865986 5.60481634]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.0062383765398206755
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [1.82156691e-06 6.08028803e-06]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.6845291143984985 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103070382411159 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.006238376539820675 | inf | float |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.30612245 0.69387755]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.6845291143984985 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103070382411159 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.006238376539820675 | inf | float |
INFO - 13:53:11: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:11: 7%|▋ | 707/10000 [00:01<00:16, 553.18 it/sec, obj=[17.67384396 6.13020637]]
INFO - 13:53:11: 7%|▋ | 708/10000 [00:01<00:16, 553.28 it/sec, obj=[17.71581018 6.05060437]]
INFO - 13:53:11: 7%|▋ | 709/10000 [00:01<00:16, 553.21 it/sec, obj=[17.7061658 6.05523269]]
INFO - 13:53:11: 7%|▋ | 710/10000 [00:01<00:16, 553.19 it/sec, obj=[17.70157564 6.03105643]]
INFO - 13:53:11: 7%|▋ | 711/10000 [00:01<00:16, 553.18 it/sec, obj=[17.68678734 6.0300614 ]]
INFO - 13:53:11: 7%|▋ | 712/10000 [00:01<00:16, 553.14 it/sec, obj=[17.67616196 6.04448762]]
INFO - 13:53:11: 7%|▋ | 713/10000 [00:01<00:16, 553.12 it/sec, obj=[17.67593996 6.0486108 ]]
INFO - 13:53:11: 7%|▋ | 714/10000 [00:01<00:16, 553.21 it/sec, obj=[17.67613966 6.04489975]]
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INFO - 13:53:11: 7%|▋ | 720/10000 [00:01<00:16, 553.56 it/sec, obj=[17.67613857 6.04524371]]
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INFO - 13:53:11: 7%|▋ | 724/10000 [00:01<00:16, 553.91 it/sec, obj=[17.67613872 6.04524654]]
INFO - 13:53:11: 7%|▋ | 725/10000 [00:01<00:16, 554.15 it/sec, obj=[17.67613954 6.04494061]]
INFO - 13:53:11: 7%|▋ | 726/10000 [00:01<00:16, 554.22 it/sec, obj=[17.67613962 6.04491002]]
INFO - 13:53:11: 7%|▋ | 727/10000 [00:01<00:16, 554.20 it/sec, obj=[17.67613304 6.04830486]]
INFO - 13:53:11: 7%|▋ | 728/10000 [00:01<00:16, 554.31 it/sec, obj=[17.67613888 6.04524937]]
INFO - 13:53:11: 7%|▋ | 729/10000 [00:01<00:16, 554.53 it/sec, obj=[17.67613955 6.04494395]]
INFO - 13:53:11: 7%|▋ | 730/10000 [00:01<00:16, 554.60 it/sec, obj=[17.67613962 6.04491341]]
INFO - 13:53:11: 7%|▋ | 731/10000 [00:01<00:16, 554.56 it/sec, obj=[17.67613471 6.04830254]]
INFO - 13:53:11: 7%|▋ | 732/10000 [00:01<00:16, 554.67 it/sec, obj=[17.67613904 6.04525219]]
INFO - 13:53:11: 7%|▋ | 733/10000 [00:01<00:16, 554.90 it/sec, obj=[17.67613956 6.04494729]]
INFO - 13:53:11: 7%|▋ | 734/10000 [00:01<00:16, 554.97 it/sec, obj=[17.67613961 6.0449168 ]]
INFO - 13:53:11: 7%|▋ | 735/10000 [00:01<00:16, 554.95 it/sec, obj=[17.67613638 6.04830022]]
INFO - 13:53:11: 7%|▋ | 736/10000 [00:01<00:16, 555.03 it/sec, obj=[17.6761392 6.04525501]]
INFO - 13:53:11: 7%|▋ | 737/10000 [00:01<00:16, 555.27 it/sec, obj=[17.67613957 6.04495062]]
INFO - 13:53:11: 7%|▋ | 738/10000 [00:01<00:16, 555.36 it/sec, obj=[17.67613961 6.04492018]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 35
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.013735364003237514
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [2.08863927e-06 1.72517344e-05]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.6401665080925247 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103646197076718 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.01373536400323751 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.32653061 0.67346939]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.6401665080925247 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.103646197076718 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.01373536400323751 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 7%|▋ | 739/10000 [00:01<00:16, 547.25 it/sec, obj=[17.36073212 6.57853985]]
INFO - 13:53:11: 7%|▋ | 740/10000 [00:01<00:16, 547.34 it/sec, obj=[17.40265972 6.49523069]]
INFO - 13:53:11: 7%|▋ | 741/10000 [00:01<00:16, 547.29 it/sec, obj=[17.39257704 6.50030673]]
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INFO - 13:53:11: 7%|▋ | 744/10000 [00:01<00:16, 547.22 it/sec, obj=[17.36094821 6.48882047]]
INFO - 13:53:11: 7%|▋ | 745/10000 [00:01<00:16, 547.20 it/sec, obj=[17.36053482 6.49370304]]
INFO - 13:53:11: 7%|▋ | 746/10000 [00:01<00:16, 547.31 it/sec, obj=[17.36090653 6.48931116]]
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INFO - 13:53:11: 8%|▊ | 760/10000 [00:01<00:16, 548.40 it/sec, obj=[17.36089325 6.48988767]]
INFO - 13:53:11: 8%|▊ | 761/10000 [00:01<00:16, 548.63 it/sec, obj=[17.36089952 6.48954486]]
INFO - 13:53:11: 8%|▊ | 762/10000 [00:01<00:16, 548.60 it/sec, obj=[17.36084923 6.49329165]]
INFO - 13:53:11: 8%|▊ | 763/10000 [00:01<00:16, 548.69 it/sec, obj=[17.3608944 6.48991939]]
INFO - 13:53:11: 8%|▊ | 764/10000 [00:01<00:16, 548.92 it/sec, obj=[17.36089901 6.48958231]]
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INFO - 13:53:11: 8%|▊ | 766/10000 [00:01<00:16, 548.98 it/sec, obj=[17.36089571 6.48995057]]
INFO - 13:53:11: 8%|▊ | 767/10000 [00:01<00:16, 549.21 it/sec, obj=[17.36089868 6.48961914]]
INFO - 13:53:11: 8%|▊ | 768/10000 [00:01<00:16, 549.00 it/sec, obj=[17.36088436 6.49324125]]
INFO - 13:53:11: 8%|▊ | 769/10000 [00:01<00:16, 549.09 it/sec, obj=[17.36089716 6.48998121]]
INFO - 13:53:11: 8%|▊ | 770/10000 [00:01<00:16, 549.29 it/sec, obj=[17.36089852 6.48965534]]
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INFO - 13:53:11: 8%|▊ | 772/10000 [00:01<00:16, 549.34 it/sec, obj=[17.3608861 6.49323419]]
INFO - 13:53:11: 8%|▊ | 773/10000 [00:01<00:16, 549.42 it/sec, obj=[17.36089732 6.48998376]]
INFO - 13:53:11: 8%|▊ | 774/10000 [00:01<00:16, 549.65 it/sec, obj=[17.36089853 6.48965886]]
INFO - 13:53:11: 8%|▊ | 775/10000 [00:01<00:16, 549.72 it/sec, obj=[17.36089865 6.48962637]]
INFO - 13:53:11: 8%|▊ | 776/10000 [00:01<00:16, 549.71 it/sec, obj=[17.36088782 6.49323172]]
INFO - 13:53:11: 8%|▊ | 777/10000 [00:01<00:16, 549.81 it/sec, obj=[17.36089748 6.48998676]]
INFO - 13:53:11: 8%|▊ | 778/10000 [00:01<00:16, 550.02 it/sec, obj=[17.36089853 6.4896624 ]]
INFO - 13:53:11: 8%|▊ | 779/10000 [00:01<00:16, 550.10 it/sec, obj=[17.36089864 6.48962997]]
INFO - 13:53:11: 8%|▊ | 780/10000 [00:01<00:16, 550.07 it/sec, obj=[17.36088955 6.49322925]]
INFO - 13:53:11: 8%|▊ | 781/10000 [00:01<00:16, 550.18 it/sec, obj=[17.36089764 6.48998976]]
INFO - 13:53:11: 8%|▊ | 782/10000 [00:01<00:16, 550.40 it/sec, obj=[17.36089854 6.48966595]]
INFO - 13:53:11: 8%|▊ | 783/10000 [00:01<00:16, 550.46 it/sec, obj=[17.36089863 6.48963357]]
INFO - 13:53:11: 8%|▊ | 784/10000 [00:01<00:16, 550.45 it/sec, obj=[17.36089127 6.49322678]]
INFO - 13:53:11: 8%|▊ | 785/10000 [00:01<00:16, 550.45 it/sec, obj=[17.36089781 6.48999275]]
INFO - 13:53:11: 8%|▊ | 786/10000 [00:01<00:16, 550.67 it/sec, obj=[17.36089854 6.48966948]]
INFO - 13:53:11: 8%|▊ | 787/10000 [00:01<00:16, 550.75 it/sec, obj=[17.36089862 6.48963716]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.021523411179742453
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [2.41310665e-06 9.31739372e-05]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.5958512486356334 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.104933192067993 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.02152341117974245 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.34693878 0.65306122]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.5958512486356334 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.104933192067993 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.02152341117974245 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 8%|▊ | 788/10000 [00:01<00:16, 543.13 it/sec, obj=[17.05358529 7.03096101]]
INFO - 13:53:11: 8%|▊ | 789/10000 [00:01<00:16, 543.22 it/sec, obj=[17.09572771 6.94360944]]
INFO - 13:53:11: 8%|▊ | 790/10000 [00:01<00:16, 543.17 it/sec, obj=[17.08511839 6.9491705 ]]
INFO - 13:53:11: 8%|▊ | 791/10000 [00:01<00:16, 543.16 it/sec, obj=[17.0800086 6.9219358]]
INFO - 13:53:11: 8%|▊ | 792/10000 [00:01<00:16, 543.02 it/sec, obj=[17.06394272 6.91931201]]
INFO - 13:53:11: 8%|▊ | 793/10000 [00:01<00:16, 543.02 it/sec, obj=[17.05146723 6.93660009]]
INFO - 13:53:11: 8%|▊ | 794/10000 [00:01<00:16, 542.99 it/sec, obj=[17.05078907 6.94245306]]
INFO - 13:53:11: 8%|▊ | 795/10000 [00:01<00:16, 543.10 it/sec, obj=[17.05136579 6.93747351]]
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INFO - 13:53:11: 8%|▊ | 797/10000 [00:01<00:16, 543.16 it/sec, obj=[17.05134193 6.93794951]]
INFO - 13:53:11: 8%|▊ | 798/10000 [00:01<00:16, 543.14 it/sec, obj=[17.05133525 6.94188399]]
INFO - 13:53:11: 8%|▊ | 799/10000 [00:01<00:16, 543.23 it/sec, obj=[17.05134117 6.93834281]]
INFO - 13:53:11: 8%|▊ | 800/10000 [00:01<00:16, 543.45 it/sec, obj=[17.05134185 6.93798884]]
INFO - 13:53:11: 8%|▊ | 801/10000 [00:01<00:16, 543.51 it/sec, obj=[17.05134192 6.93795345]]
INFO - 13:53:11: 8%|▊ | 802/10000 [00:01<00:16, 543.51 it/sec, obj=[17.05133712 6.94182092]]
INFO - 13:53:11: 8%|▊ | 803/10000 [00:01<00:16, 543.61 it/sec, obj=[17.05134135 6.93834005]]
INFO - 13:53:11: 8%|▊ | 804/10000 [00:01<00:16, 543.81 it/sec, obj=[17.05134186 6.93799211]]
INFO - 13:53:11: 8%|▊ | 805/10000 [00:01<00:16, 543.90 it/sec, obj=[17.05134191 6.93795731]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 21
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.029539690922855077
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [2.98645685e-06 3.26203833e-05]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.5512783178690076 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.107074787088362 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.02953969092285508 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.36734694 0.63265306]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.5512783178690076 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.107074787088362 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.02953969092285508 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 8%|▊ | 806/10000 [00:01<00:17, 536.76 it/sec, obj=[16.75084733 7.4865978 ]]
INFO - 13:53:11: 8%|▊ | 807/10000 [00:01<00:17, 536.85 it/sec, obj=[16.79350047 7.39476575]]
INFO - 13:53:11: 8%|▊ | 808/10000 [00:01<00:17, 536.83 it/sec, obj=[16.78226846 7.40091577]]
INFO - 13:53:11: 8%|▊ | 809/10000 [00:01<00:17, 536.82 it/sec, obj=[16.77685776 7.37194629]]
INFO - 13:53:11: 8%|▊ | 810/10000 [00:01<00:17, 536.82 it/sec, obj=[16.76001104 7.36779231]]
INFO - 13:53:11: 8%|▊ | 811/10000 [00:01<00:17, 536.79 it/sec, obj=[16.74621705 7.38680013]]
INFO - 13:53:11: 8%|▊ | 812/10000 [00:01<00:17, 536.78 it/sec, obj=[16.74516725 7.39386072]]
INFO - 13:53:11: 8%|▊ | 813/10000 [00:01<00:17, 536.87 it/sec, obj=[16.74599715 7.38827654]]
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INFO - 13:53:11: 8%|▊ | 815/10000 [00:01<00:17, 536.96 it/sec, obj=[16.74596651 7.38881918]]
INFO - 13:53:11: 8%|▊ | 816/10000 [00:01<00:17, 536.95 it/sec, obj=[16.74592061 7.39324242]]
INFO - 13:53:11: 8%|▊ | 817/10000 [00:01<00:17, 537.04 it/sec, obj=[16.74596182 7.38926132]]
INFO - 13:53:11: 8%|▊ | 818/10000 [00:01<00:17, 537.25 it/sec, obj=[16.74596604 7.38886339]]
INFO - 13:53:11: 8%|▊ | 819/10000 [00:01<00:17, 537.24 it/sec, obj=[16.74594069 7.39315026]]
INFO - 13:53:11: 8%|▊ | 820/10000 [00:01<00:17, 537.33 it/sec, obj=[16.74596341 7.38929191]]
INFO - 13:53:11: 8%|▊ | 821/10000 [00:01<00:17, 537.55 it/sec, obj=[16.74596577 7.38890624]]
INFO - 13:53:11: 8%|▊ | 822/10000 [00:01<00:17, 537.51 it/sec, obj=[16.74596027 7.39312116]]
INFO - 13:53:11: 8%|▊ | 823/10000 [00:01<00:17, 537.60 it/sec, obj=[16.74596513 7.38932757]]
INFO - 13:53:11: 8%|▊ | 824/10000 [00:01<00:17, 537.82 it/sec, obj=[16.74596571 7.38894837]]
INFO - 13:53:11: 8%|▊ | 825/10000 [00:01<00:17, 537.90 it/sec, obj=[16.74596577 7.38891045]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 23
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.037722975310157315
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [3.74685509e-06 3.86679289e-05]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.5061796918898194 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.110134990166551 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.03772297531015732 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.3877551 0.6122449]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.5061796918898194 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.110134990166551 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.03772297531015732 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 8%|▊ | 826/10000 [00:01<00:17, 531.16 it/sec, obj=[16.4511722 7.9445902]]
INFO - 13:53:11: 8%|▊ | 827/10000 [00:01<00:17, 531.26 it/sec, obj=[16.49462106 7.84779384]]
INFO - 13:53:11: 8%|▊ | 828/10000 [00:01<00:17, 531.24 it/sec, obj=[16.48264523 7.85462246]]
INFO - 13:53:11: 8%|▊ | 829/10000 [00:01<00:17, 531.25 it/sec, obj=[16.47688816 7.82371045]]
INFO - 13:53:11: 8%|▊ | 830/10000 [00:01<00:17, 531.24 it/sec, obj=[16.4591186 7.81739918]]
INFO - 13:53:11: 8%|▊ | 831/10000 [00:01<00:17, 531.26 it/sec, obj=[16.44365133 7.83834395]]
INFO - 13:53:11: 8%|▊ | 832/10000 [00:01<00:17, 531.25 it/sec, obj=[16.44207995 7.84685781]]
INFO - 13:53:11: 8%|▊ | 833/10000 [00:01<00:17, 531.37 it/sec, obj=[16.44320065 7.84078268]]
INFO - 13:53:11: 8%|▊ | 834/10000 [00:01<00:17, 531.35 it/sec, obj=[16.44286491 7.8469739 ]]
INFO - 13:53:11: 8%|▊ | 835/10000 [00:01<00:17, 531.46 it/sec, obj=[16.44316692 7.84140149]]
INFO - 13:53:11: 8%|▊ | 836/10000 [00:01<00:17, 531.45 it/sec, obj=[16.44312197 7.84632664]]
INFO - 13:53:11: 8%|▊ | 837/10000 [00:01<00:17, 531.55 it/sec, obj=[16.44316231 7.8418938 ]]
INFO - 13:53:11: 8%|▊ | 838/10000 [00:01<00:17, 531.76 it/sec, obj=[16.44316646 7.84145072]]
INFO - 13:53:11: 8%|▊ | 839/10000 [00:01<00:17, 531.74 it/sec, obj=[16.44314403 7.84622268]]
INFO - 13:53:11: 8%|▊ | 840/10000 [00:01<00:17, 531.85 it/sec, obj=[16.4431641 7.84192772]]
INFO - 13:53:11: 8%|▊ | 841/10000 [00:01<00:17, 532.07 it/sec, obj=[16.44316622 7.84149841]]
INFO - 13:53:11: 8%|▊ | 842/10000 [00:01<00:17, 532.11 it/sec, obj=[16.44316644 7.84145549]]
INFO - 13:53:11: 8%|▊ | 843/10000 [00:01<00:17, 532.11 it/sec, obj=[16.44314618 7.84621315]]
INFO - 13:53:11: 8%|▊ | 844/10000 [00:01<00:17, 532.21 it/sec, obj=[16.4431643 7.84193106]]
INFO - 13:53:11: 8%|▊ | 845/10000 [00:01<00:17, 532.42 it/sec, obj=[16.44316622 7.84150304]]
INFO - 13:53:11: 8%|▊ | 846/10000 [00:01<00:17, 532.52 it/sec, obj=[16.44316641 7.84146024]]
INFO - 13:53:11: 8%|▊ | 847/10000 [00:01<00:17, 532.49 it/sec, obj=[16.44314832 7.84620993]]
INFO - 13:53:11: 8%|▊ | 848/10000 [00:01<00:17, 532.59 it/sec, obj=[16.44316449 7.84193502]]
INFO - 13:53:11: 8%|▊ | 849/10000 [00:01<00:17, 532.79 it/sec, obj=[16.44316622 7.84150772]]
INFO - 13:53:11: 8%|▊ | 850/10000 [00:01<00:17, 532.88 it/sec, obj=[16.44316639 7.84146499]]
INFO - 13:53:11: 9%|▊ | 851/10000 [00:01<00:17, 532.89 it/sec, obj=[16.44315047 7.84620671]]
INFO - 13:53:11: 9%|▊ | 852/10000 [00:01<00:17, 532.98 it/sec, obj=[16.44316469 7.84193897]]
INFO - 13:53:11: 9%|▊ | 853/10000 [00:01<00:17, 533.20 it/sec, obj=[16.44316622 7.84151238]]
INFO - 13:53:11: 9%|▊ | 854/10000 [00:01<00:17, 533.29 it/sec, obj=[16.44316638 7.84146973]]
INFO - 13:53:11: 9%|▊ | 855/10000 [00:01<00:17, 533.29 it/sec, obj=[16.44315261 7.8462035 ]]
INFO - 13:53:11: 9%|▊ | 856/10000 [00:01<00:17, 533.40 it/sec, obj=[16.44316489 7.84194292]]
INFO - 13:53:11: 9%|▊ | 857/10000 [00:01<00:17, 533.59 it/sec, obj=[16.44316623 7.84151705]]
INFO - 13:53:11: 9%|▊ | 858/10000 [00:01<00:17, 533.68 it/sec, obj=[16.44316636 7.84147446]]
INFO - 13:53:11: 9%|▊ | 859/10000 [00:01<00:17, 533.67 it/sec, obj=[16.44315474 7.84620028]]
INFO - 13:53:11: 9%|▊ | 860/10000 [00:01<00:17, 533.78 it/sec, obj=[16.44316509 7.84194685]]
INFO - 13:53:11: 9%|▊ | 861/10000 [00:01<00:17, 533.99 it/sec, obj=[16.44316623 7.8415217 ]]
INFO - 13:53:11: 9%|▊ | 862/10000 [00:01<00:17, 534.07 it/sec, obj=[16.44316635 7.84147918]]
INFO - 13:53:11: 9%|▊ | 863/10000 [00:01<00:17, 534.08 it/sec, obj=[16.44315688 7.84619708]]
INFO - 13:53:11: 9%|▊ | 864/10000 [00:01<00:17, 534.17 it/sec, obj=[16.44316529 7.84195078]]
INFO - 13:53:11: 9%|▊ | 865/10000 [00:01<00:17, 534.37 it/sec, obj=[16.44316624 7.84152634]]
INFO - 13:53:11: 9%|▊ | 866/10000 [00:01<00:17, 534.44 it/sec, obj=[16.44316634 7.8414839 ]]
INFO - 13:53:11: 9%|▊ | 867/10000 [00:01<00:17, 534.43 it/sec, obj=[16.44315901 7.84619387]]
INFO - 13:53:11: 9%|▊ | 868/10000 [00:01<00:17, 534.53 it/sec, obj=[16.4431655 7.84195471]]
INFO - 13:53:11: 9%|▊ | 869/10000 [00:01<00:17, 534.74 it/sec, obj=[16.44316625 7.84153098]]
INFO - 13:53:11: 9%|▊ | 870/10000 [00:01<00:17, 534.81 it/sec, obj=[16.44316633 7.84148861]]
INFO - 13:53:11: 9%|▊ | 871/10000 [00:01<00:17, 534.82 it/sec, obj=[16.44316115 7.84619067]]
INFO - 13:53:11: 9%|▊ | 872/10000 [00:01<00:17, 534.90 it/sec, obj=[16.4431657 7.84195863]]
INFO - 13:53:11: 9%|▊ | 873/10000 [00:01<00:17, 535.11 it/sec, obj=[16.44316627 7.84153561]]
INFO - 13:53:11: 9%|▊ | 874/10000 [00:01<00:17, 535.19 it/sec, obj=[16.44316632 7.84149331]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.04600939289217488
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [4.89929117e-06 8.58265980e-06]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.4601957453719552 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.114287498392252 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.04600939289217488 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.40816327 0.59183673]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.4601957453719552 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.114287498392252 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.04600939289217488 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 9%|▉ | 875/10000 [00:01<00:17, 528.30 it/sec, obj=[16.15294781 8.40404207]]
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INFO - 13:53:11: 9%|▉ | 918/10000 [00:01<00:17, 531.80 it/sec, obj=[16.14117088 8.29460923]]
INFO - 13:53:11: 9%|▉ | 919/10000 [00:01<00:17, 531.84 it/sec, obj=[16.14117104 8.29455906]]
INFO - 13:53:11: 9%|▉ | 920/10000 [00:01<00:17, 531.73 it/sec, obj=[16.14115686 8.30012619]]
INFO - 13:53:11: 9%|▉ | 921/10000 [00:01<00:17, 531.82 it/sec, obj=[16.14116948 8.29511553]]
INFO - 13:53:11: 9%|▉ | 922/10000 [00:01<00:17, 532.02 it/sec, obj=[16.14117088 8.29461471]]
INFO - 13:53:11: 9%|▉ | 923/10000 [00:01<00:17, 531.98 it/sec, obj=[16.14117103 8.29456463]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.054327988265171615
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [6.38745305e-06 1.53194358e-05]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.4129050843954137 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.119728698700339 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.05432798826517161 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.42857143 0.57142857]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.4129050843954137 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.119728698700339 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.05432798826517161 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 9%|▉ | 924/10000 [00:01<00:17, 525.75 it/sec, obj=[15.8544266 8.86395874]]
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INFO - 13:53:11: 10%|▉ | 969/10000 [00:01<00:16, 532.51 it/sec, obj=[15.83633953 8.75140378]]
INFO - 13:53:11: 10%|▉ | 970/10000 [00:01<00:16, 532.69 it/sec, obj=[15.83633951 8.75140377]]
INFO - 13:53:11: 10%|▉ | 971/10000 [00:01<00:16, 532.86 it/sec, obj=[15.83633951 8.75140377]]
INFO - 13:53:11: 10%|▉ | 972/10000 [00:01<00:16, 533.04 it/sec, obj=[15.83633951 8.75140377]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.06266889002813054
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [ 1.72742633e-05 -7.63522092e-03]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.3636115390854115 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.127406765425707 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.06266889002813054 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.44897959 0.55102041]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.3636115390854115 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.127406765425707 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.06266889002813054 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 10%|▉ | 973/10000 [00:01<00:17, 527.00 it/sec, obj=[15.55174521 9.32412258]]
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INFO - 13:53:11: 10%|█ | 1013/10000 [00:01<00:16, 532.66 it/sec, obj=[15.53239095 9.20375688]]
INFO - 13:53:11: 10%|█ | 1014/10000 [00:01<00:16, 532.84 it/sec, obj=[15.52961237 9.20287378]]
INFO - 13:53:11: 10%|█ | 1015/10000 [00:01<00:16, 533.02 it/sec, obj=[15.52933473 9.20278528]]
INFO - 13:53:11: 10%|█ | 1016/10000 [00:01<00:16, 533.19 it/sec, obj=[15.52930697 9.20277643]]
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INFO - 13:53:11: 10%|█ | 1018/10000 [00:01<00:16, 533.54 it/sec, obj=[15.52930392 9.20277546]]
INFO - 13:53:11: 10%|█ | 1019/10000 [00:01<00:16, 533.72 it/sec, obj=[15.52930389 9.20277545]]
INFO - 13:53:11: 10%|█ | 1020/10000 [00:01<00:16, 533.88 it/sec, obj=[15.52930389 9.20277545]]
INFO - 13:53:11: 10%|█ | 1021/10000 [00:01<00:16, 534.06 it/sec, obj=[15.52930389 9.20277545]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.07085049841491922
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [ 2.79110959e-05 -1.13249532e-02]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.3121439056117678 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.136360631818128 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.07085049841491922 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.46938776 0.53061224]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.3121439056117678 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.136360631818128 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.07085049841491922 | inf | float |
INFO - 13:53:11: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:11: 10%|█ | 1022/10000 [00:01<00:17, 528.07 it/sec, obj=[15.24567353 9.78202146]]
INFO - 13:53:11: 10%|█ | 1023/10000 [00:01<00:16, 528.15 it/sec, obj=[15.29782308 9.65481946]]
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INFO - 13:53:11: 11%|█ | 1058/10000 [00:01<00:16, 532.34 it/sec, obj=[15.21511976 9.65041614]]
INFO - 13:53:11: 11%|█ | 1059/10000 [00:01<00:16, 532.51 it/sec, obj=[15.21511976 9.65041614]]
INFO - 13:53:11: 11%|█ | 1060/10000 [00:01<00:16, 532.67 it/sec, obj=[15.21511976 9.65041614]]
INFO - 13:53:11: 11%|█ | 1061/10000 [00:01<00:16, 532.84 it/sec, obj=[15.21511976 9.65041614]]
INFO - 13:53:11: 11%|█ | 1062/10000 [00:01<00:16, 532.93 it/sec, obj=[15.21920832 9.65107692]]
INFO - 13:53:11: 11%|█ | 1063/10000 [00:01<00:16, 533.01 it/sec, obj=[15.21552829 9.65048261]]
INFO - 13:53:11: 11%|█ | 1064/10000 [00:01<00:16, 533.18 it/sec, obj=[15.21516061 9.65042279]]
INFO - 13:53:11: 11%|█ | 1065/10000 [00:01<00:16, 533.34 it/sec, obj=[15.21512384 9.6504168 ]]
INFO - 13:53:11: 11%|█ | 1066/10000 [00:01<00:16, 533.50 it/sec, obj=[15.21512017 9.65041621]]
INFO - 13:53:11: 11%|█ | 1067/10000 [00:01<00:16, 533.66 it/sec, obj=[15.2151198 9.65041615]]
INFO - 13:53:11: 11%|█ | 1068/10000 [00:02<00:16, 533.83 it/sec, obj=[15.21511976 9.65041614]]
INFO - 13:53:11: 11%|█ | 1069/10000 [00:02<00:16, 533.96 it/sec, obj=[15.21511976 9.65041614]]
INFO - 13:53:11: 11%|█ | 1070/10000 [00:02<00:16, 534.10 it/sec, obj=[15.21511976 9.65041614]]
INFO - 13:53:11: Optimization result:
INFO - 13:53:11: Optimizer info:
INFO - 13:53:11: Status: None
INFO - 13:53:11: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:11: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:11: Solution:
INFO - 13:53:11: The solution is feasible.
INFO - 13:53:11: Objective: 0.0787817603263474
INFO - 13:53:11: Standardized constraints:
INFO - 13:53:11: beta_sub_optim_constraint = [ 4.79617952e-05 -1.69828218e-02]
INFO - 13:53:11: Design space:
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.2572319058560046 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.147817951317796 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.0787817603263474 | inf | float |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: Solving mNBI sub-problem for beta = [0.48979592 0.51020408]
INFO - 13:53:11: Optimization problem:
INFO - 13:53:11: minimize -t_extraction
INFO - 13:53:11: with respect to t, x, y
INFO - 13:53:11: subject to constraints:
INFO - 13:53:11: beta_sub_optim_constraint <= 0.0
INFO - 13:53:11: over the design space:
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: | x | -3.141592653589793 | 0.2572319058560046 | 3.141592653589793 | float |
INFO - 13:53:11: | y | -3.141592653589793 | 1.147817951317796 | 3.141592653589793 | float |
INFO - 13:53:11: | t | -inf | -0.0787817603263474 | inf | float |
INFO - 13:53:11: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:11: 11%|█ | 1071/10000 [00:02<00:16, 528.23 it/sec, obj=[14.93087464 10.23639039]]
INFO - 13:53:11: 11%|█ | 1072/10000 [00:02<00:16, 528.31 it/sec, obj=[14.98722918 10.09716923]]
INFO - 13:53:12: 11%|█ | 1073/10000 [00:02<00:16, 528.28 it/sec, obj=[14.96769373 10.11391574]]
INFO - 13:53:12: 11%|█ | 1074/10000 [00:02<00:16, 528.29 it/sec, obj=[14.96045278 10.07045683]]
INFO - 13:53:12: 11%|█ | 1075/10000 [00:02<00:16, 528.28 it/sec, obj=[14.93630443 10.02859019]]
INFO - 13:53:12: 11%|█ | 1076/10000 [00:02<00:16, 528.38 it/sec, obj=[14.90058515 10.06026864]]
INFO - 13:53:12: 11%|█ | 1077/10000 [00:02<00:16, 528.36 it/sec, obj=[14.88888575 10.09023131]]
INFO - 13:53:12: 11%|█ | 1078/10000 [00:02<00:16, 528.37 it/sec, obj=[14.89391814 10.09339761]]
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INFO - 13:53:12: 11%|█ | 1080/10000 [00:02<00:16, 528.69 it/sec, obj=[14.888936 10.09026305]]
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INFO - 13:53:12: 11%|█ | 1084/10000 [00:02<00:16, 529.35 it/sec, obj=[14.88888575 10.09023132]]
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INFO - 13:53:12: 11%|█ | 1086/10000 [00:02<00:16, 529.67 it/sec, obj=[14.88888575 10.09023132]]
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INFO - 13:53:12: 11%|█ | 1091/10000 [00:02<00:16, 530.39 it/sec, obj=[14.88893601 10.09025371]]
INFO - 13:53:12: 11%|█ | 1092/10000 [00:02<00:16, 530.55 it/sec, obj=[14.88889077 10.09023355]]
INFO - 13:53:12: 11%|█ | 1093/10000 [00:02<00:16, 530.71 it/sec, obj=[14.88888625 10.09023154]]
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INFO - 13:53:12: 11%|█ | 1100/10000 [00:02<00:16, 531.74 it/sec, obj=[14.89391828 10.09219608]]
INFO - 13:53:12: 11%|█ | 1101/10000 [00:02<00:16, 531.89 it/sec, obj=[14.88938844 10.0904285 ]]
INFO - 13:53:12: 11%|█ | 1102/10000 [00:02<00:16, 532.03 it/sec, obj=[14.88893601 10.09025104]]
INFO - 13:53:12: 11%|█ | 1103/10000 [00:02<00:16, 532.19 it/sec, obj=[14.88889077 10.09023329]]
INFO - 13:53:12: 11%|█ | 1104/10000 [00:02<00:16, 532.34 it/sec, obj=[14.88888625 10.09023151]]
INFO - 13:53:12: 11%|█ | 1105/10000 [00:02<00:16, 532.50 it/sec, obj=[14.8888858 10.09023133]]
INFO - 13:53:12: 11%|█ | 1106/10000 [00:02<00:16, 532.66 it/sec, obj=[14.88888575 10.09023132]]
INFO - 13:53:12: 11%|█ | 1107/10000 [00:02<00:16, 532.82 it/sec, obj=[14.88888575 10.09023132]]
INFO - 13:53:12: 11%|█ | 1108/10000 [00:02<00:16, 532.96 it/sec, obj=[14.88888575 10.09023131]]
INFO - 13:53:12: 11%|█ | 1109/10000 [00:02<00:16, 533.12 it/sec, obj=[14.88888575 10.09023131]]
INFO - 13:53:12: 11%|█ | 1110/10000 [00:02<00:16, 533.28 it/sec, obj=[14.88888575 10.09023131]]
INFO - 13:53:12: 11%|█ | 1111/10000 [00:02<00:16, 533.37 it/sec, obj=[14.89391829 10.09210816]]
INFO - 13:53:12: 11%|█ | 1112/10000 [00:02<00:16, 533.53 it/sec, obj=[14.88938845 10.09041971]]
INFO - 13:53:12: 11%|█ | 1113/10000 [00:02<00:16, 533.67 it/sec, obj=[14.88893601 10.09025016]]
INFO - 13:53:12: 11%|█ | 1114/10000 [00:02<00:16, 533.83 it/sec, obj=[14.88889077 10.0902332 ]]
INFO - 13:53:12: 11%|█ | 1115/10000 [00:02<00:16, 533.99 it/sec, obj=[14.88888625 10.0902315 ]]
INFO - 13:53:12: 11%|█ | 1116/10000 [00:02<00:16, 534.15 it/sec, obj=[14.8888858 10.09023133]]
INFO - 13:53:12: 11%|█ | 1117/10000 [00:02<00:16, 534.30 it/sec, obj=[14.88888575 10.09023132]]
INFO - 13:53:12: 11%|█ | 1118/10000 [00:02<00:16, 534.46 it/sec, obj=[14.88888575 10.09023132]]
INFO - 13:53:12: 11%|█ | 1119/10000 [00:02<00:16, 534.62 it/sec, obj=[14.88888575 10.09023131]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: 0.08629410935760148
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 8.83056864e-05 -2.60251277e-02]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | 0.1974426398740056 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 1.162624728009152 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | -0.08629410935760148 | inf | float |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.51020408 0.48979592]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | 0.1974426398740056 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 1.162624728009152 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | -0.08629410935760148 | inf | float |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: 11%|█ | 1120/10000 [00:02<00:16, 528.93 it/sec, obj=[14.60197923 10.68484973]]
INFO - 13:53:12: 11%|█ | 1121/10000 [00:02<00:16, 529.00 it/sec, obj=[14.66429366 10.52995626]]
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INFO - 13:53:12: 11%|█▏ | 1131/10000 [00:02<00:16, 529.87 it/sec, obj=[14.54216874 10.5154235 ]]
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INFO - 13:53:12: 12%|█▏ | 1160/10000 [00:02<00:16, 534.07 it/sec, obj=[14.54744905 10.52247974]]
INFO - 13:53:12: 12%|█▏ | 1161/10000 [00:02<00:16, 534.22 it/sec, obj=[14.54269522 10.51612967]]
INFO - 13:53:12: 12%|█▏ | 1162/10000 [00:02<00:16, 534.36 it/sec, obj=[14.5422209 10.51549382]]
INFO - 13:53:12: 12%|█▏ | 1163/10000 [00:02<00:16, 534.52 it/sec, obj=[14.54217348 10.51543022]]
INFO - 13:53:12: 12%|█▏ | 1164/10000 [00:02<00:16, 534.64 it/sec, obj=[14.54216874 10.51542386]]
INFO - 13:53:12: 12%|█▏ | 1165/10000 [00:02<00:16, 534.79 it/sec, obj=[14.54216826 10.51542323]]
INFO - 13:53:12: 12%|█▏ | 1166/10000 [00:02<00:16, 534.94 it/sec, obj=[14.54216822 10.51542316]]
INFO - 13:53:12: 12%|█▏ | 1167/10000 [00:02<00:16, 535.09 it/sec, obj=[14.54216821 10.51542316]]
INFO - 13:53:12: 12%|█▏ | 1168/10000 [00:02<00:16, 535.23 it/sec, obj=[14.54216821 10.51542316]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: 0.09632683931017857
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 3.27461317e-05 -1.49767571e-02]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | 0.1646630534671112 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 1.150874127012663 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | -0.09632683931017857 | inf | float |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.53061224 0.46938776]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | 0.1646630534671112 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 1.150874127012663 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | -0.09632683931017857 | inf | float |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: 12%|█▏ | 1169/10000 [00:02<00:16, 529.39 it/sec, obj=[14.35075547 11.14980447]]
INFO - 13:53:12: 12%|█▏ | 1170/10000 [00:02<00:16, 529.42 it/sec, obj=[14.40264572 10.99318335]]
INFO - 13:53:12: 12%|█▏ | 1171/10000 [00:02<00:16, 529.50 it/sec, obj=[14.37027055 10.94646837]]
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INFO - 13:53:12: 12%|█▏ | 1173/10000 [00:02<00:16, 529.65 it/sec, obj=[14.23657371 10.80044692]]
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INFO - 13:53:12: 12%|█▏ | 1180/10000 [00:02<00:16, 529.87 it/sec, obj=[14.0148404 10.82357515]]
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INFO - 13:53:12: 12%|█▏ | 1200/10000 [00:02<00:16, 532.50 it/sec, obj=[14.0148404 10.82357516]]
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INFO - 13:53:12: 12%|█▏ | 1206/10000 [00:02<00:16, 533.10 it/sec, obj=[14.01483859 10.82380585]]
INFO - 13:53:12: 12%|█▏ | 1207/10000 [00:02<00:16, 533.25 it/sec, obj=[14.01484022 10.82359822]]
INFO - 13:53:12: 12%|█▏ | 1208/10000 [00:02<00:16, 533.40 it/sec, obj=[14.01484038 10.82357746]]
INFO - 13:53:12: 12%|█▏ | 1209/10000 [00:02<00:16, 533.54 it/sec, obj=[14.01484039 10.82357539]]
INFO - 13:53:12: 12%|█▏ | 1210/10000 [00:02<00:16, 533.68 it/sec, obj=[14.0148404 10.82357518]]
INFO - 13:53:12: 12%|█▏ | 1211/10000 [00:02<00:16, 533.82 it/sec, obj=[14.0148404 10.82357516]]
INFO - 13:53:12: 12%|█▏ | 1212/10000 [00:02<00:16, 533.95 it/sec, obj=[14.0148404 10.82357516]]
INFO - 13:53:12: 12%|█▏ | 1213/10000 [00:02<00:16, 534.10 it/sec, obj=[14.0148404 10.82357515]]
INFO - 13:53:12: 12%|█▏ | 1214/10000 [00:02<00:16, 534.17 it/sec, obj=[14.01490974 11.06189886]]
INFO - 13:53:12: 12%|█▏ | 1215/10000 [00:02<00:16, 534.31 it/sec, obj=[14.01466858 10.84709902]]
INFO - 13:53:12: 12%|█▏ | 1216/10000 [00:02<00:16, 534.46 it/sec, obj=[14.01482143 10.82592436]]
INFO - 13:53:12: 12%|█▏ | 1217/10000 [00:02<00:16, 534.60 it/sec, obj=[14.01483848 10.82381004]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 52
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: 0.09235825852791893
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [-6.52341030e-07 -1.14218484e-02]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -0.006150097033360665 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 1.251499764351504 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | -0.09235825852791893 | inf | float |
INFO - 13:53:12: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.55102041 0.44897959]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -0.006150097033360665 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 1.251499764351504 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | -0.09235825852791893 | inf | float |
INFO - 13:53:12: +------+--------------------+-----------------------+-------------------+-------+
INFO - 13:53:12: 12%|█▏ | 1218/10000 [00:02<00:16, 528.65 it/sec, obj=[13.70598431 11.47733937]]
INFO - 13:53:12: 12%|█▏ | 1219/10000 [00:02<00:16, 528.68 it/sec, obj=[13.81072117 11.25400551]]
INFO - 13:53:12: 12%|█▏ | 1220/10000 [00:02<00:16, 528.75 it/sec, obj=[13.77343755 11.32309683]]
INFO - 13:53:12: 12%|█▏ | 1221/10000 [00:02<00:16, 528.82 it/sec, obj=[13.78185257 11.30251919]]
INFO - 13:53:12: 12%|█▏ | 1222/10000 [00:02<00:16, 528.79 it/sec, obj=[13.7772678 11.26639816]]
INFO - 13:53:12: 12%|█▏ | 1223/10000 [00:02<00:16, 528.80 it/sec, obj=[13.7563046 11.23326975]]
INFO - 13:53:12: 12%|█▏ | 1224/10000 [00:02<00:16, 528.79 it/sec, obj=[13.72544911 11.21247556]]
INFO - 13:53:12: 12%|█▏ | 1225/10000 [00:02<00:16, 528.87 it/sec, obj=[13.6937544 11.19950313]]
INFO - 13:53:12: 12%|█▏ | 1226/10000 [00:02<00:16, 528.91 it/sec, obj=[13.66536562 11.19212948]]
INFO - 13:53:12: 12%|█▏ | 1227/10000 [00:02<00:16, 528.99 it/sec, obj=[13.64213121 11.18782366]]
INFO - 13:53:12: 12%|█▏ | 1228/10000 [00:02<00:16, 528.97 it/sec, obj=[13.62402876 11.18495226]]
INFO - 13:53:12: 12%|█▏ | 1229/10000 [00:02<00:16, 528.98 it/sec, obj=[13.59304905 11.17910928]]
INFO - 13:53:12: 12%|█▏ | 1230/10000 [00:02<00:16, 528.98 it/sec, obj=[12.19447803 6.61550147]]
INFO - 13:53:12: 12%|█▏ | 1231/10000 [00:02<00:16, 529.05 it/sec, obj=[17.17283819 9.45665502]]
INFO - 13:53:12: 12%|█▏ | 1232/10000 [00:02<00:16, 529.19 it/sec, obj=[13.79017649 7.86629613]]
INFO - 13:53:12: 12%|█▏ | 1233/10000 [00:02<00:16, 529.34 it/sec, obj=[12.76802459 6.68795242]]
INFO - 13:53:12: 12%|█▏ | 1234/10000 [00:02<00:16, 529.47 it/sec, obj=[12.42519167 6.48062023]]
INFO - 13:53:12: 12%|█▏ | 1235/10000 [00:02<00:16, 529.61 it/sec, obj=[12.29597327 6.50389428]]
INFO - 13:53:12: 12%|█▏ | 1236/10000 [00:02<00:16, 529.75 it/sec, obj=[12.24190168 6.54839757]]
INFO - 13:53:12: 12%|█▏ | 1237/10000 [00:02<00:16, 529.89 it/sec, obj=[12.21747112 6.57891558]]
INFO - 13:53:12: 12%|█▏ | 1238/10000 [00:02<00:16, 530.03 it/sec, obj=[12.20588633 6.59628138]]
INFO - 13:53:12: 12%|█▏ | 1239/10000 [00:02<00:16, 530.18 it/sec, obj=[12.20023986 6.6055155 ]]
INFO - 13:53:12: 12%|█▏ | 1240/10000 [00:02<00:16, 530.31 it/sec, obj=[12.19744766 6.61028152]]
INFO - 13:53:12: 12%|█▏ | 1241/10000 [00:02<00:16, 530.45 it/sec, obj=[12.1960582 6.6127042]]
INFO - 13:53:12: 12%|█▏ | 1242/10000 [00:02<00:16, 530.53 it/sec, obj=[9.81359415 5.37464645]]
INFO - 13:53:12: 12%|█▏ | 1243/10000 [00:02<00:16, 530.60 it/sec, obj=[7.92505912 4.96775346]]
INFO - 13:53:12: 12%|█▏ | 1244/10000 [00:02<00:16, 530.67 it/sec, obj=[3.46385235 5.94048026]]
INFO - 13:53:12: 12%|█▏ | 1245/10000 [00:02<00:16, 530.74 it/sec, obj=[1.76882472 4.30336849]]
INFO - 13:53:12: 12%|█▏ | 1246/10000 [00:02<00:16, 530.82 it/sec, obj=[1.68828345 3.73124941]]
INFO - 13:53:12: 12%|█▏ | 1247/10000 [00:02<00:16, 530.90 it/sec, obj=[1.70533268 3.68630001]]
INFO - 13:53:12: 12%|█▏ | 1248/10000 [00:02<00:16, 530.97 it/sec, obj=[1.70536873 3.68620577]]
INFO - 13:53:12: 12%|█▏ | 1249/10000 [00:02<00:16, 530.96 it/sec, obj=[1.70536868 3.68620591]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 35
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.38071010089692436
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [1.36779477e-13 2.37777797e-10]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.2981988304084305 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3807101008969244 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.57142857 0.42857143]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.2981988304084305 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3807101008969244 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: 12%|█▎ | 1250/10000 [00:02<00:16, 525.61 it/sec, obj=[1.51255235 4.24147032]]
INFO - 13:53:12: 13%|█▎ | 1251/10000 [00:02<00:16, 525.67 it/sec, obj=[1.52141593 4.21361367]]
INFO - 13:53:12: 13%|█▎ | 1252/10000 [00:02<00:16, 525.65 it/sec, obj=[1.52135888 4.21379222]]
INFO - 13:53:12: 13%|█▎ | 1253/10000 [00:02<00:16, 525.66 it/sec, obj=[1.52135935 4.21379075]]
INFO - 13:53:12: 13%|█▎ | 1254/10000 [00:02<00:16, 525.66 it/sec, obj=[1.52135934 4.21379076]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 8
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.3676682367223673
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [5.41946932e-10 1.75579645e-06]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.225279722309013 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3676682367223673 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.59183673 0.40816327]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.225279722309013 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3676682367223673 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1255/10000 [00:02<00:16, 520.60 it/sec, obj=[1.35375074 4.78134632]]
INFO - 13:53:12: 13%|█▎ | 1256/10000 [00:02<00:16, 520.65 it/sec, obj=[1.36074077 4.75590347]]
INFO - 13:53:12: 13%|█▎ | 1257/10000 [00:02<00:16, 520.64 it/sec, obj=[1.36068364 4.75611076]]
INFO - 13:53:12: 13%|█▎ | 1258/10000 [00:02<00:16, 520.65 it/sec, obj=[1.36068419 4.75610878]]
INFO - 13:53:12: 13%|█▎ | 1259/10000 [00:02<00:16, 520.64 it/sec, obj=[1.36068418 4.75610879]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 8
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.35369224067143257
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [6.08512352e-10 2.30422305e-06]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.1578580062032114 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3536922406714326 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.6122449 0.3877551]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.1578580062032114 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3536922406714326 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1260/10000 [00:02<00:16, 515.66 it/sec, obj=[1.21246454 5.33086554]]
INFO - 13:53:12: 13%|█▎ | 1261/10000 [00:02<00:16, 515.73 it/sec, obj=[1.21766407 5.30941508]]
INFO - 13:53:12: 13%|█▎ | 1262/10000 [00:02<00:16, 515.71 it/sec, obj=[1.2176303 5.30955408]]
INFO - 13:53:12: 13%|█▎ | 1263/10000 [00:02<00:16, 515.73 it/sec, obj=[1.21763056 5.30955304]]
INFO - 13:53:12: 13%|█▎ | 1264/10000 [00:02<00:16, 515.73 it/sec, obj=[1.21763056 5.30955305]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 8
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.3390108030109216
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [2.38024711e-10 1.19054698e-06]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.09434081759351785 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3390108030109216 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.63265306 0.36734694]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.09434081759351785 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3390108030109216 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1265/10000 [00:02<00:17, 510.99 it/sec, obj=[1.08491694 5.88820668]]
INFO - 13:53:12: 13%|█▎ | 1266/10000 [00:02<00:17, 511.06 it/sec, obj=[1.08849378 5.87173709]]
INFO - 13:53:12: 13%|█▎ | 1267/10000 [00:02<00:17, 511.05 it/sec, obj=[1.0884847 5.87177881]]
INFO - 13:53:12: 13%|█▎ | 1268/10000 [00:02<00:17, 511.07 it/sec, obj=[1.08848473 5.87177868]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 7
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.32377260952167874
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [1.92859062e-11 1.50364464e-07]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.03365188638307567 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3237726095216787 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.65306122 0.34693878]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | 0.03365188638307567 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3237726095216787 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1269/10000 [00:02<00:17, 506.34 it/sec, obj=[0.96854731 6.45204172]]
INFO - 13:53:12: 13%|█▎ | 1270/10000 [00:02<00:17, 506.40 it/sec, obj=[0.97068053 6.44120242]]
INFO - 13:53:12: 13%|█▎ | 1271/10000 [00:02<00:17, 506.40 it/sec, obj=[0.970687 6.44116958]]
INFO - 13:53:12: 13%|█▎ | 1272/10000 [00:02<00:17, 506.42 it/sec, obj=[0.97068701 6.44116949]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 7
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.3080804428064812
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [1.19807532e-06 3.77862159e-05]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.0249963858684049 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3080804428064812 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.67346939 0.32653061]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.0249963858684049 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.3080804428064812 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1273/10000 [00:02<00:17, 501.87 it/sec, obj=[0.86153338 7.021369 ]]
INFO - 13:53:12: 13%|█▎ | 1274/10000 [00:02<00:17, 501.94 it/sec, obj=[0.86238921 7.01661102]]
INFO - 13:53:12: 13%|█▎ | 1275/10000 [00:02<00:17, 501.95 it/sec, obj=[0.86239761 7.01656435]]
INFO - 13:53:12: 13%|█▎ | 1276/10000 [00:02<00:17, 502.02 it/sec, obj=[0.86239005 7.01660635]]
INFO - 13:53:12: 13%|█▎ | 1277/10000 [00:02<00:17, 502.10 it/sec, obj=[0.8623893 7.01661055]]
INFO - 13:53:12: 13%|█▎ | 1278/10000 [00:02<00:17, 502.18 it/sec, obj=[0.86238922 7.01661097]]
INFO - 13:53:12: 13%|█▎ | 1279/10000 [00:02<00:17, 502.26 it/sec, obj=[0.86238922 7.01661101]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 10
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.29200736902188507
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [2.17496038e-07 5.26120489e-05]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.08220877373158518 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2920073690218851 | inf | float |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.69387755 0.30612245]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.08220877373158518 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2920073690218851 | inf | float |
INFO - 13:53:12: +------+--------------------+----------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1280/10000 [00:02<00:17, 497.83 it/sec, obj=[0.76253334 7.59541578]]
INFO - 13:53:12: 13%|█▎ | 1281/10000 [00:02<00:17, 497.91 it/sec, obj=[0.76225927 7.59707209]]
INFO - 13:53:12: 13%|█▎ | 1282/10000 [00:02<00:17, 497.91 it/sec, obj=[0.76225446 7.59710116]]
INFO - 13:53:12: 13%|█▎ | 1283/10000 [00:02<00:17, 497.94 it/sec, obj=[0.76225438 7.59710167]]
INFO - 13:53:12: 13%|█▎ | 1284/10000 [00:02<00:17, 497.96 it/sec, obj=[0.76225438 7.59710168]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 8
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.2756078050046248
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 1.98063788e-13 -1.77800885e-10]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.1384862762273548 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2756078050046248 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.71428571 0.28571429]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.1384862762273548 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2756078050046248 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1285/10000 [00:02<00:17, 493.51 it/sec, obj=[0.67103735 8.1741504 ]]
INFO - 13:53:12: 13%|█▎ | 1286/10000 [00:02<00:17, 493.59 it/sec, obj=[0.66927959 8.1817945 ]]
INFO - 13:53:12: 13%|█▎ | 1287/10000 [00:02<00:17, 493.60 it/sec, obj=[0.6692292 8.18212411]]
INFO - 13:53:12: 13%|█▎ | 1288/10000 [00:02<00:17, 493.63 it/sec, obj=[0.66922788 8.18213277]]
INFO - 13:53:12: 13%|█▎ | 1289/10000 [00:02<00:17, 493.65 it/sec, obj=[0.66922784 8.18213299]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 8
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.2589236893171578
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [-2.66453526e-15 -6.73022882e-09]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.194283323768222 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2589236893171578 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.73469388 0.26530612]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.194283323768222 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2589236893171578 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1290/10000 [00:02<00:17, 489.39 it/sec, obj=[0.58652715 8.75768428]]
INFO - 13:53:12: 13%|█▎ | 1291/10000 [00:02<00:17, 489.46 it/sec, obj=[0.58269624 8.7700095 ]]
INFO - 13:53:12: 13%|█▎ | 1292/10000 [00:02<00:17, 489.48 it/sec, obj=[0.58253871 8.77112099]]
INFO - 13:53:12: 13%|█▎ | 1293/10000 [00:02<00:17, 489.50 it/sec, obj=[0.58253309 8.7711606 ]]
INFO - 13:53:12: 13%|█▎ | 1294/10000 [00:02<00:17, 489.54 it/sec, obj=[0.58253289 8.77116202]]
INFO - 13:53:12: 13%|█▎ | 1295/10000 [00:02<00:17, 489.57 it/sec, obj=[0.58253288 8.77116207]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 9
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.24198610731272277
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [-3.10862447e-14 -2.02901784e-09]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.2500103966177374 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2419861073127228 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.75510204 0.24489796]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.2500103966177374 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2419861073127228 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1296/10000 [00:02<00:17, 485.37 it/sec, obj=[0.50767122 9.34499481]]
INFO - 13:53:12: 13%|█▎ | 1297/10000 [00:02<00:17, 485.45 it/sec, obj=[0.50189963 9.36132603]]
INFO - 13:53:12: 13%|█▎ | 1298/10000 [00:02<00:17, 485.47 it/sec, obj=[0.50158726 9.36369819]]
INFO - 13:53:12: 13%|█▎ | 1299/10000 [00:02<00:17, 485.50 it/sec, obj=[0.50157299 9.36380662]]
INFO - 13:53:12: 13%|█▎ | 1300/10000 [00:02<00:17, 485.53 it/sec, obj=[0.50157233 9.36381158]]
INFO - 13:53:12: 13%|█▎ | 1301/10000 [00:02<00:17, 485.56 it/sec, obj=[0.5015723 9.36381181]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 9
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.22481896622657027
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 2.13162821e-14 -1.17696275e-08]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.3060808237961971 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2248189662265703 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.7755102 0.2244898]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.3060808237961971 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2248189662265703 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1302/10000 [00:02<00:18, 481.13 it/sec, obj=[0.43402034 9.93590822]]
INFO - 13:53:12: 13%|█▎ | 1303/10000 [00:02<00:18, 481.21 it/sec, obj=[0.42645159 9.9553188 ]]
INFO - 13:53:12: 13%|█▎ | 1304/10000 [00:02<00:18, 481.23 it/sec, obj=[0.42593373 9.95954888]]
INFO - 13:53:12: 13%|█▎ | 1305/10000 [00:02<00:18, 481.26 it/sec, obj=[0.42590447 9.95978797]]
INFO - 13:53:12: 13%|█▎ | 1306/10000 [00:02<00:18, 481.29 it/sec, obj=[0.42590281 9.95980148]]
INFO - 13:53:12: 13%|█▎ | 1307/10000 [00:02<00:18, 481.32 it/sec, obj=[0.42590272 9.95980225]]
INFO - 13:53:12: 13%|█▎ | 1308/10000 [00:02<00:18, 481.36 it/sec, obj=[0.42590271 9.95980229]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 10
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.20744001562687236
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 3.55271368e-15 -2.78823764e-09]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.36293310183095 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2074400156268724 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.79591837 0.20408163]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.36293310183095 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.2074400156268724 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1309/10000 [00:02<00:18, 477.27 it/sec, obj=[ 0.36525349 10.53035178]]
INFO - 13:53:12: 13%|█▎ | 1310/10000 [00:02<00:18, 477.33 it/sec, obj=[ 0.35605081 10.55160429]]
INFO - 13:53:12: 13%|█▎ | 1311/10000 [00:02<00:18, 477.42 it/sec, obj=[ 0.35527365 10.55843936]]
INFO - 13:53:12: 13%|█▎ | 1312/10000 [00:02<00:18, 477.44 it/sec, obj=[ 0.35522068 10.55890538]]
INFO - 13:53:12: 13%|█▎ | 1313/10000 [00:02<00:18, 477.47 it/sec, obj=[ 0.35521707 10.55893714]]
INFO - 13:53:12: 13%|█▎ | 1314/10000 [00:02<00:18, 477.51 it/sec, obj=[ 0.35521683 10.55893931]]
INFO - 13:53:12: 13%|█▎ | 1315/10000 [00:02<00:18, 477.54 it/sec, obj=[ 0.35521681 10.55893946]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 10
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.1898615574839805
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 1.50990331e-14 -1.15679053e-08]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.421062756892335 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1898615574839805 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.81632653 0.18367347]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.421062756892335 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1898615574839805 | inf | float |
INFO - 13:53:12: +------+--------------------+--------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1316/10000 [00:02<00:18, 473.51 it/sec, obj=[ 0.30116811 11.12836371]]
INFO - 13:53:12: 13%|█▎ | 1317/10000 [00:02<00:18, 473.58 it/sec, obj=[ 0.29053033 11.14981198]]
INFO - 13:53:12: 13%|█▎ | 1318/10000 [00:02<00:18, 473.67 it/sec, obj=[ 0.2894369 11.16019963]]
INFO - 13:53:12: 13%|█▎ | 1319/10000 [00:02<00:18, 473.70 it/sec, obj=[ 0.28934853 11.16103975]]
INFO - 13:53:12: 13%|█▎ | 1320/10000 [00:02<00:18, 473.73 it/sec, obj=[ 0.28934139 11.16110761]]
INFO - 13:53:12: 13%|█▎ | 1321/10000 [00:02<00:18, 473.77 it/sec, obj=[ 0.28934081 11.1611131 ]]
INFO - 13:53:12: 13%|█▎ | 1322/10000 [00:02<00:18, 473.80 it/sec, obj=[ 0.28934077 11.16111354]]
INFO - 13:53:12: 13%|█▎ | 1323/10000 [00:02<00:18, 473.84 it/sec, obj=[ 0.28934076 11.16111357]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 11
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.17209055080803906
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 2.39808173e-14 -3.35184813e-09]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.4810662050903783 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1720905508080391 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.83673469 0.16326531]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.4810662050903783 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1720905508080391 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1324/10000 [00:02<00:18, 469.78 it/sec, obj=[ 0.24407516 11.69183075]]
INFO - 13:53:12: 13%|█▎ | 1325/10000 [00:02<00:18, 469.84 it/sec, obj=[ 0.23007913 11.74741677]]
INFO - 13:53:12: 13%|█▎ | 1326/10000 [00:02<00:18, 469.93 it/sec, obj=[ 0.22842341 11.76451578]]
INFO - 13:53:12: 13%|█▎ | 1327/10000 [00:02<00:18, 469.96 it/sec, obj=[ 0.22826641 11.76613932]]
INFO - 13:53:12: 13%|█▎ | 1328/10000 [00:02<00:18, 469.94 it/sec, obj=[ 0.22825155 11.76629304]]
INFO - 13:53:12: 13%|█▎ | 1329/10000 [00:02<00:18, 469.98 it/sec, obj=[ 0.22825014 11.76630759]]
INFO - 13:53:12: 13%|█▎ | 1330/10000 [00:02<00:18, 470.01 it/sec, obj=[ 0.22825001 11.76630897]]
INFO - 13:53:12: 13%|█▎ | 1331/10000 [00:02<00:18, 470.05 it/sec, obj=[ 0.22825 11.7663091]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 11
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.15412797921488172
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [-3.10862447e-14 -1.44594741e-08]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589792 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.5437089545127316 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1541279792148817 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.85714286 0.14285714]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589792 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.5437089545127316 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1541279792148817 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1332/10000 [00:02<00:18, 466.26 it/sec, obj=[ 0.1925283 12.23407683]]
INFO - 13:53:12: 13%|█▎ | 1333/10000 [00:02<00:18, 466.34 it/sec, obj=[ 0.17649894 12.34966763]]
INFO - 13:53:12: 13%|█▎ | 1334/10000 [00:02<00:18, 466.44 it/sec, obj=[ 0.17270555 12.36790081]]
INFO - 13:53:12: 13%|█▎ | 1335/10000 [00:02<00:18, 466.46 it/sec, obj=[ 0.17217953 12.37389018]]
INFO - 13:53:12: 13%|█▎ | 1336/10000 [00:02<00:18, 466.51 it/sec, obj=[ 0.1721215 12.37455136]]
INFO - 13:53:12: 13%|█▎ | 1337/10000 [00:02<00:18, 466.54 it/sec, obj=[ 0.1721151 12.37462425]]
INFO - 13:53:12: 13%|█▎ | 1338/10000 [00:02<00:18, 466.59 it/sec, obj=[ 0.1721144 12.37463228]]
INFO - 13:53:12: 13%|█▎ | 1339/10000 [00:02<00:18, 466.62 it/sec, obj=[ 0.17211432 12.37463317]]
INFO - 13:53:12: 13%|█▎ | 1340/10000 [00:02<00:18, 466.66 it/sec, obj=[ 0.17211431 12.37463326]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 12
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.13596704543127247
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 3.55271368e-15 -1.27636701e-08]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.6100438087404102 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1359670454312725 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.87755102 0.12244898]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.6100438087404102 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1359670454312725 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 13%|█▎ | 1341/10000 [00:02<00:18, 462.83 it/sec, obj=[ 0.14516872 12.77747669]]
INFO - 13:53:12: 13%|█▎ | 1342/10000 [00:02<00:18, 462.90 it/sec, obj=[ 0.12896617 12.95814598]]
INFO - 13:53:12: 13%|█▎ | 1343/10000 [00:02<00:18, 463.00 it/sec, obj=[ 0.12271064 12.96958603]]
INFO - 13:53:12: 13%|█▎ | 1344/10000 [00:02<00:18, 463.08 it/sec, obj=[ 0.12157005 12.98421831]]
INFO - 13:53:12: 13%|█▎ | 1345/10000 [00:02<00:18, 463.12 it/sec, obj=[ 0.12142333 12.98610396]]
INFO - 13:53:12: 13%|█▎ | 1346/10000 [00:02<00:18, 463.16 it/sec, obj=[ 0.12140451 12.98634598]]
INFO - 13:53:12: 13%|█▎ | 1347/10000 [00:02<00:18, 463.20 it/sec, obj=[ 0.12140209 12.98637702]]
INFO - 13:53:12: 13%|█▎ | 1348/10000 [00:02<00:18, 463.24 it/sec, obj=[ 0.12140178 12.98638101]]
INFO - 13:53:12: 13%|█▎ | 1349/10000 [00:02<00:18, 463.28 it/sec, obj=[ 0.12140174 12.98638152]]
INFO - 13:53:12: 14%|█▎ | 1350/10000 [00:02<00:18, 463.32 it/sec, obj=[ 0.12140174 12.98638158]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 13
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.11758901297180953
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [-1.33226763e-14 -1.01144018e-08]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.6816397343331123 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1175890129718095 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.89795918 0.10204082]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.6816397343331123 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.1175890129718095 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 14%|█▎ | 1351/10000 [00:02<00:18, 459.47 it/sec, obj=[ 0.10238961 13.32306607]]
INFO - 13:53:12: 14%|█▎ | 1352/10000 [00:02<00:18, 459.54 it/sec, obj=[ 0.08703943 13.572046 ]]
INFO - 13:53:12: 14%|█▎ | 1353/10000 [00:02<00:18, 459.62 it/sec, obj=[ 0.08128604 13.58187374]]
INFO - 13:53:12: 14%|█▎ | 1354/10000 [00:02<00:18, 459.68 it/sec, obj=[ 0.07801327 13.58867861]]
INFO - 13:53:12: 14%|█▎ | 1355/10000 [00:02<00:18, 459.78 it/sec, obj=[ 0.07725982 13.60015505]]
INFO - 13:53:12: 14%|█▎ | 1356/10000 [00:02<00:18, 459.82 it/sec, obj=[ 0.07714633 13.60188767]]
INFO - 13:53:12: 14%|█▎ | 1357/10000 [00:02<00:18, 459.86 it/sec, obj=[ 0.07712927 13.60214821]]
INFO - 13:53:12: 14%|█▎ | 1358/10000 [00:02<00:18, 459.91 it/sec, obj=[ 0.07712671 13.60218736]]
INFO - 13:53:12: 14%|█▎ | 1359/10000 [00:02<00:18, 459.95 it/sec, obj=[ 0.07712633 13.60219324]]
INFO - 13:53:12: 14%|█▎ | 1360/10000 [00:02<00:18, 460.00 it/sec, obj=[ 0.07712627 13.60219413]]
INFO - 13:53:12: 14%|█▎ | 1361/10000 [00:02<00:18, 460.04 it/sec, obj=[ 0.07712626 13.60219426]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 14
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.09895329016041263
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [ 3.99680289e-15 -2.44621337e-08]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589792 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.7610904369459162 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.09895329016041263 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.91836735 0.08163265]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589792 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.7610904369459162 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.09895329016041263 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 14%|█▎ | 1362/10000 [00:02<00:18, 456.46 it/sec, obj=[ 0.06504462 13.87250065]]
INFO - 13:53:12: 14%|█▎ | 1363/10000 [00:02<00:18, 456.54 it/sec, obj=[ 0.05157802 14.19390207]]
INFO - 13:53:12: 14%|█▎ | 1364/10000 [00:02<00:18, 456.63 it/sec, obj=[ 0.04888577 14.2144866 ]]
INFO - 13:53:12: 14%|█▎ | 1365/10000 [00:02<00:18, 456.73 it/sec, obj=[ 0.04382604 14.17645334]]
INFO - 13:53:12: 14%|█▎ | 1366/10000 [00:02<00:18, 456.81 it/sec, obj=[ 0.04195332 14.21489646]]
INFO - 13:53:12: 14%|█▎ | 1367/10000 [00:02<00:18, 456.86 it/sec, obj=[ 0.04161571 14.22194457]]
INFO - 13:53:12: 14%|█▎ | 1368/10000 [00:02<00:18, 456.90 it/sec, obj=[ 0.04155501 14.2232158 ]]
INFO - 13:53:12: 14%|█▎ | 1369/10000 [00:02<00:18, 456.95 it/sec, obj=[ 0.0415441 14.22344436]]
INFO - 13:53:12: 14%|█▎ | 1370/10000 [00:02<00:18, 456.99 it/sec, obj=[ 0.04154214 14.22348543]]
INFO - 13:53:12: 14%|█▎ | 1371/10000 [00:03<00:18, 456.99 it/sec, obj=[ 0.04154179 14.22349281]]
INFO - 13:53:12: 14%|█▎ | 1372/10000 [00:03<00:18, 457.02 it/sec, obj=[ 0.04154173 14.22349413]]
INFO - 13:53:12: 14%|█▎ | 1373/10000 [00:03<00:18, 457.07 it/sec, obj=[ 0.04154172 14.22349437]]
INFO - 13:53:12: Optimization result:
INFO - 13:53:12: Optimizer info:
INFO - 13:53:12: Status: None
INFO - 13:53:12: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:12: Number of calls to the objective function by the optimizer: 15
INFO - 13:53:12: Solution:
INFO - 13:53:12: The solution is feasible.
INFO - 13:53:12: Objective: -0.07996965081825079
INFO - 13:53:12: Standardized constraints:
INFO - 13:53:12: beta_sub_optim_constraint = [-9.99200722e-15 -5.37463289e-08]
INFO - 13:53:12: Design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.8533942753228502 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.07996965081825079 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: Solving mNBI sub-problem for beta = [0.93877551 0.06122449]
INFO - 13:53:12: Optimization problem:
INFO - 13:53:12: minimize -t_extraction
INFO - 13:53:12: with respect to t, x, y
INFO - 13:53:12: subject to constraints:
INFO - 13:53:12: beta_sub_optim_constraint <= 0.0
INFO - 13:53:12: over the design space:
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: | x | -3.141592653589793 | -3.141592653589793 | 3.141592653589793 | float |
INFO - 13:53:12: | y | -3.141592653589793 | -0.8533942753228502 | 3.141592653589793 | float |
INFO - 13:53:12: | t | -inf | 0.07996965081825079 | inf | float |
INFO - 13:53:12: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:12: 14%|█▎ | 1374/10000 [00:03<00:19, 453.47 it/sec, obj=[ 0.03503289 14.42887869]]
INFO - 13:53:13: 14%|█▍ | 1375/10000 [00:03<00:19, 453.55 it/sec, obj=[ 0.02770014 14.68566514]]
INFO - 13:53:13: 14%|█▍ | 1376/10000 [00:03<00:19, 453.65 it/sec, obj=[ 0.02342177 14.83897819]]
INFO - 13:53:13: 14%|█▍ | 1377/10000 [00:03<00:19, 453.74 it/sec, obj=[ 0.02270998 14.8480151 ]]
INFO - 13:53:13: 14%|█▍ | 1378/10000 [00:03<00:19, 453.78 it/sec, obj=[ 0.02159149 14.823479 ]]
INFO - 13:53:13: 14%|█▍ | 1379/10000 [00:03<00:18, 453.82 it/sec, obj=[ 0.02080189 14.83518463]]
INFO - 13:53:13: 14%|█▍ | 1380/10000 [00:03<00:18, 453.92 it/sec, obj=[ 0.0204019 14.85280938]]
INFO - 13:53:13: 14%|█▍ | 1381/10000 [00:03<00:18, 453.96 it/sec, obj=[ 0.02037874 14.85393027]]
INFO - 13:53:13: 14%|█▍ | 1382/10000 [00:03<00:18, 453.99 it/sec, obj=[ 0.02037936 14.85390295]]
INFO - 13:53:13: 14%|█▍ | 1383/10000 [00:03<00:18, 454.07 it/sec, obj=[ 0.0203788 14.85392754]]
INFO - 13:53:13: 14%|█▍ | 1384/10000 [00:03<00:18, 454.17 it/sec, obj=[ 0.02037874 14.85392999]]
INFO - 13:53:13: 14%|█▍ | 1385/10000 [00:03<00:18, 454.26 it/sec, obj=[ 0.02037874 14.85393024]]
INFO - 13:53:13: Optimization result:
INFO - 13:53:13: Optimizer info:
INFO - 13:53:13: Status: None
INFO - 13:53:13: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:13: Number of calls to the objective function by the optimizer: 15
INFO - 13:53:13: Solution:
INFO - 13:53:13: The solution is feasible.
INFO - 13:53:13: Objective: -0.060408686643641296
INFO - 13:53:13: Standardized constraints:
INFO - 13:53:13: beta_sub_optim_constraint = [1.14123062e-08 2.99484293e-05]
INFO - 13:53:13: Design space:
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | x | -3.141592653589793 | -3.124892778045702 | 3.141592653589793 | float |
INFO - 13:53:13: | y | -3.141592653589793 | -0.9308586238288376 | 3.141592653589793 | float |
INFO - 13:53:13: | t | -inf | 0.0604086866436413 | inf | float |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: Solving mNBI sub-problem for beta = [0.95918367 0.04081633]
INFO - 13:53:13: Optimization problem:
INFO - 13:53:13: minimize -t_extraction
INFO - 13:53:13: with respect to t, x, y
INFO - 13:53:13: subject to constraints:
INFO - 13:53:13: beta_sub_optim_constraint <= 0.0
INFO - 13:53:13: over the design space:
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | x | -3.141592653589793 | -3.124892778045702 | 3.141592653589793 | float |
INFO - 13:53:13: | y | -3.141592653589793 | -0.9308586238288376 | 3.141592653589793 | float |
INFO - 13:53:13: | t | -inf | 0.0604086866436413 | inf | float |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: 14%|█▍ | 1386/10000 [00:03<00:19, 450.93 it/sec, obj=[ 0.01718534 15.00361975]]
INFO - 13:53:13: 14%|█▍ | 1387/10000 [00:03<00:19, 451.03 it/sec, obj=[1.40515093e-02 1.51661918e+01]]
INFO - 13:53:13: 14%|█▍ | 1388/10000 [00:03<00:19, 451.12 it/sec, obj=[8.99963657e-03 1.54765564e+01]]
INFO - 13:53:13: 14%|█▍ | 1389/10000 [00:03<00:19, 451.21 it/sec, obj=[8.81041146e-03 1.54893324e+01]]
INFO - 13:53:13: 14%|█▍ | 1390/10000 [00:03<00:19, 451.25 it/sec, obj=[8.79355568e-03 1.54896536e+01]]
INFO - 13:53:13: 14%|█▍ | 1391/10000 [00:03<00:19, 451.29 it/sec, obj=[8.77687203e-03 1.54874527e+01]]
INFO - 13:53:13: 14%|█▍ | 1392/10000 [00:03<00:19, 451.34 it/sec, obj=[8.73780366e-03 1.54892227e+01]]
INFO - 13:53:13: 14%|█▍ | 1393/10000 [00:03<00:19, 451.38 it/sec, obj=[8.72318503e-03 1.54902517e+01]]
INFO - 13:53:13: 14%|█▍ | 1394/10000 [00:03<00:19, 451.43 it/sec, obj=[8.72241827e-03 1.54903092e+01]]
INFO - 13:53:13: 14%|█▍ | 1395/10000 [00:03<00:19, 451.47 it/sec, obj=[8.72242522e-03 1.54903088e+01]]
INFO - 13:53:13: Optimization result:
INFO - 13:53:13: Optimizer info:
INFO - 13:53:13: Status: None
INFO - 13:53:13: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:13: Number of calls to the objective function by the optimizer: 13
INFO - 13:53:13: Solution:
INFO - 13:53:13: The solution is feasible.
INFO - 13:53:13: Objective: -0.04046714980460463
INFO - 13:53:13: Standardized constraints:
INFO - 13:53:13: beta_sub_optim_constraint = [2.28619346e-11 5.21678970e-07]
INFO - 13:53:13: Design space:
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | x | -3.141592653589793 | -3.083528096506652 | 3.141592653589793 | float |
INFO - 13:53:13: | y | -3.141592653589793 | -0.9582211134522686 | 3.141592653589793 | float |
INFO - 13:53:13: | t | -inf | 0.04046714980460463 | inf | float |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: Solving mNBI sub-problem for beta = [0.97959184 0.02040816]
INFO - 13:53:13: Optimization problem:
INFO - 13:53:13: minimize -t_extraction
INFO - 13:53:13: with respect to t, x, y
INFO - 13:53:13: subject to constraints:
INFO - 13:53:13: beta_sub_optim_constraint <= 0.0
INFO - 13:53:13: over the design space:
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | x | -3.141592653589793 | -3.083528096506652 | 3.141592653589793 | float |
INFO - 13:53:13: | y | -3.141592653589793 | -0.9582211134522686 | 3.141592653589793 | float |
INFO - 13:53:13: | t | -inf | 0.04046714980460463 | inf | float |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: 14%|█▍ | 1396/10000 [00:03<00:19, 448.14 it/sec, obj=[7.35549888e-03 1.55917815e+01]]
INFO - 13:53:13: 14%|█▍ | 1397/10000 [00:03<00:19, 448.17 it/sec, obj=[6.13233104e-03 1.56914972e+01]]
INFO - 13:53:13: 14%|█▍ | 1398/10000 [00:03<00:19, 448.21 it/sec, obj=[2.22176447e-03 1.61144852e+01]]
INFO - 13:53:13: 14%|█▍ | 1399/10000 [00:03<00:19, 448.26 it/sec, obj=[2.12134225e-03 1.61290625e+01]]
INFO - 13:53:13: 14%|█▍ | 1400/10000 [00:03<00:19, 448.30 it/sec, obj=[2.11555065e-03 1.61296819e+01]]
INFO - 13:53:13: 14%|█▍ | 1401/10000 [00:03<00:19, 448.35 it/sec, obj=[2.11279396e-03 1.61289972e+01]]
INFO - 13:53:13: 14%|█▍ | 1402/10000 [00:03<00:19, 448.39 it/sec, obj=[2.10659210e-03 1.61289589e+01]]
INFO - 13:53:13: 14%|█▍ | 1403/10000 [00:03<00:19, 448.44 it/sec, obj=[2.10061020e-03 1.61298536e+01]]
INFO - 13:53:13: 14%|█▍ | 1404/10000 [00:03<00:19, 448.48 it/sec, obj=[2.10034123e-03 1.61298952e+01]]
INFO - 13:53:13: 14%|█▍ | 1405/10000 [00:03<00:19, 448.53 it/sec, obj=[2.10033797e-03 1.61298957e+01]]
INFO - 13:53:13: Optimization result:
INFO - 13:53:13: Optimizer info:
INFO - 13:53:13: Status: None
INFO - 13:53:13: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:53:13: Number of calls to the objective function by the optimizer: 13
INFO - 13:53:13: Solution:
INFO - 13:53:13: The solution is feasible.
INFO - 13:53:13: Objective: -0.02032408232425267
INFO - 13:53:13: Standardized constraints:
INFO - 13:53:13: beta_sub_optim_constraint = [-1.09245946e-13 -2.06584829e-08]
INFO - 13:53:13: Design space:
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: | x | -3.141592653589793 | -3.041696853982727 | 3.141592653589793 | float |
INFO - 13:53:13: | y | -3.141592653589793 | -0.9809813162082901 | 3.141592653589793 | float |
INFO - 13:53:13: | t | -inf | 0.02032408232425267 | inf | float |
INFO - 13:53:13: +------+--------------------+---------------------+-------------------+-------+
INFO - 13:53:13: Optimization result:
INFO - 13:53:13: Optimizer info:
INFO - 13:53:13: Status: None
INFO - 13:53:13: Message: None
INFO - 13:53:13: Number of calls to the objective function by the optimizer: 1553
INFO - 13:53:13: Solution:
INFO - 13:53:13: Objective: 4.061575498234619
INFO - 13:53:13: Pareto efficient solutions:
INFO - 13:53:13: Pareto optimal points : 303 / 1405
INFO - 13:53:13: Utopia point : [2.24633196e-26 1.00001713e+00]
INFO - 13:53:13: Compromise solution (closest to utopia) : [[1.70536873 3.68620577]]
INFO - 13:53:13: Distance from utopia : 3.18180639559226
INFO - 13:53:13: Objective values:
INFO - 13:53:13: +------+-------------+---------+---------+
INFO - 13:53:13: | name | 1 | 2 | 3 |
INFO - 13:53:13: +------+-------------+---------+---------+
INFO - 13:53:13: | 1 | 2.24633e-26 | 24.98 | 1.70537 |
INFO - 13:53:13: | 2 | 16.7723 | 1.00002 | 3.68621 |
INFO - 13:53:13: +------+-------------+---------+---------+
INFO - 13:53:13: Design space:
INFO - 13:53:13: +-------+-------------+----+---------+----------+-------------+-------+
INFO - 13:53:13: | name | lower_bound | 1 | 2 | 3 | upper_bound | type |
INFO - 13:53:13: +-------+-------------+----+---------+----------+-------------+-------+
INFO - 13:53:13: | x (1) | -3.14159 | -3 | 1.00094 | -3.14159 | 3.14159 | float |
INFO - 13:53:13: | y (1) | -3.14159 | -1 | 1.9954 | 0.298199 | 3.14159 | float |
INFO - 13:53:13: +-------+-------------+----+---------+----------+-------------+-------+
Display the Pareto front¶
GEMSEO detects the Pareto optimal points and the dominated ones. There is one interesting area that has a hole in the Pareto front. The mNBI algorithm avoids running sub-optimizations in this area which saves computation time.
execute_post(opt_problem, "ParetoFront", save=False, show=True)
<gemseo.post.pareto_front.ParetoFront object at 0x7f2d246c0220>
Total running time of the script: (0 minutes 4.297 seconds)