Note
Go to the end to download the full example code
Multi-objective Binh-Korn example with the mNBI algorithm¶
In this example, the modified Normal Boundary Intersection (mNBI) algorithm is used
to solve the BinhKorn problem [BK97]:
\[\begin{split}\begin{aligned}
\text{minimize the objective function } & f_1(x, y) = 4x^2 + 4y^2 \\
& f_2(x, y) = (x-5)^2 + (y-5)^2 \\
\text{with respect to the design variables }&x,\,y \\
\text{subject to the general constraints }
& g_1(x,y) = (x-5)^2 + y^2 \leq 25.0\\
& g_2(x, y) = (x-8)^2 + (y+3)^2 \geq 7.7\\
\text{subject to the bound constraints }
& 0 \leq x \leq 5.0\\
& 0 \leq y \leq 3.0
\end{aligned}\end{split}\]
from __future__ import annotations
from gemseo import configure_logger
from gemseo import execute_algo
from gemseo import execute_post
from gemseo.problems.analytical.binh_korn import BinhKorn
configure_logger()
<RootLogger root (INFO)>
Solve the Binh-Korn optimization problem¶
The 50 sub-optimization problems of mNBI are solved with SLSQP, a gradient-based optimization algorithm from the NLOPT library, with a maximum of 200 iterations. The analytic gradients are provided.
problem = BinhKorn()
result = execute_algo(
problem,
"MNBI",
max_iter=10000,
sub_optim_max_iter=200,
n_sub_optim=50,
sub_optim_algo="NLOPT_SLSQP",
)
INFO - 13:07:36: Optimization problem:
INFO - 13:07:36: minimize compute_binhkorn(x, y) = (4*x**2+ 4*y**2, (x-5.)**2 + (y-5.)**2)
INFO - 13:07:36: with respect to x, y
INFO - 13:07:36: subject to constraints:
INFO - 13:07:36: ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0.0
INFO - 13:07:36: ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0.0
INFO - 13:07:36: over the design space:
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | x | 0 | 1 | 5 | float |
INFO - 13:07:36: | y | 0 | 1 | 3 | float |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: Solving optimization problem with algorithm MNBI:
INFO - 13:07:36: Searching for the individual optimum of each objective
INFO - 13:07:36: Optimization problem:
INFO - 13:07:36: minimize f_0
INFO - 13:07:36: with respect to x, y
INFO - 13:07:36: subject to constraints:
INFO - 13:07:36: ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0.0
INFO - 13:07:36: ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0.0
INFO - 13:07:36: over the design space:
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | x | 0 | 1 | 5 | float |
INFO - 13:07:36: | y | 0 | 1 | 3 | float |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: Optimization result:
INFO - 13:07:36: Optimizer info:
INFO - 13:07:36: Status: None
INFO - 13:07:36: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:36: Number of calls to the objective function by the optimizer: 5
INFO - 13:07:36: Solution:
INFO - 13:07:36: The solution is feasible.
INFO - 13:07:36: Objective: 2.577496310600783e-28
INFO - 13:07:36: Standardized constraints:
INFO - 13:07:36: ineq1 = [7.10542736e-15]
INFO - 13:07:36: ineq2 = [-59.3]
INFO - 13:07:36: Design space:
INFO - 13:07:36: +------+-------------+-----------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+-----------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 0 | 5 | float |
INFO - 13:07:36: | y | 0 | 8.027291433915899e-15 | 3 | float |
INFO - 13:07:36: +------+-------------+-----------------------+-------------+-------+
INFO - 13:07:36: Optimization problem:
INFO - 13:07:36: minimize f_1
INFO - 13:07:36: with respect to x, y
INFO - 13:07:36: subject to constraints:
INFO - 13:07:36: ineq1(x, y): (x-5.)**2 + y**2 <= 25. <= 0.0
INFO - 13:07:36: ineq2(x, y): (x-8.)**2 + (y+3)**2 >= 7.7 <= 0.0
INFO - 13:07:36: over the design space:
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | x | 0 | 1 | 5 | float |
INFO - 13:07:36: | y | 0 | 1 | 3 | float |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
ERROR - 13:07:36: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:36: Optimization result:
INFO - 13:07:36: Optimizer info:
INFO - 13:07:36: Status: None
INFO - 13:07:36: Message: GEMSEO Stopped the driver
INFO - 13:07:36: Number of calls to the objective function by the optimizer: 100
INFO - 13:07:36: Solution:
INFO - 13:07:36: The solution is feasible.
INFO - 13:07:36: Objective: 4.0
INFO - 13:07:36: Standardized constraints:
INFO - 13:07:36: ineq1 = [-22.]
INFO - 13:07:36: ineq2 = [-7.3]
INFO - 13:07:36: Design space:
INFO - 13:07:36: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.999999999999999 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:36: Solving mNBI sub-problem for beta = [0.02040816 0.97959184]
INFO - 13:07:36: Optimization problem:
INFO - 13:07:36: minimize -t_extraction
INFO - 13:07:36: with respect to t, x, y
INFO - 13:07:36: subject to constraints:
INFO - 13:07:36: wrapped_ineq1 <= 0.0
INFO - 13:07:36: wrapped_ineq2 <= 0.0
INFO - 13:07:36: beta_sub_optim_constraint <= 0.0
INFO - 13:07:36: over the design space:
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
INFO - 13:07:36: | x | 0 | 1 | 5 | float |
INFO - 13:07:36: | y | 0 | 1 | 3 | float |
INFO - 13:07:36: | t | -inf | 0 | inf | float |
INFO - 13:07:36: +------+-------------+-------+-------------+-------+
ERROR - 13:07:36: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:36: Optimization result:
INFO - 13:07:36: Optimizer info:
INFO - 13:07:36: Status: None
INFO - 13:07:36: Message: GEMSEO Stopped the driver
INFO - 13:07:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:07:36: Solution:
INFO - 13:07:36: The solution is feasible.
INFO - 13:07:36: Objective: -0.019986438077608543
INFO - 13:07:36: Standardized constraints:
INFO - 13:07:36: beta_sub_optim_constraint = [4.55071536e-11 1.28416167e-11]
INFO - 13:07:36: wrapped_ineq1 = [-21.98060064]
INFO - 13:07:36: wrapped_ineq2 = [-8.15508884]
INFO - 13:07:36: Design space:
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.860718419570534 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: | t | -inf | 0.01998643807760854 | inf | float |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: Solving mNBI sub-problem for beta = [0.04081633 0.95918367]
INFO - 13:07:36: Optimization problem:
INFO - 13:07:36: minimize -t_extraction
INFO - 13:07:36: with respect to t, x, y
INFO - 13:07:36: subject to constraints:
INFO - 13:07:36: wrapped_ineq1 <= 0.0
INFO - 13:07:36: wrapped_ineq2 <= 0.0
INFO - 13:07:36: beta_sub_optim_constraint <= 0.0
INFO - 13:07:36: over the design space:
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.860718419570534 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: | t | -inf | 0.01998643807760854 | inf | float |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: Optimization result:
INFO - 13:07:36: Optimizer info:
INFO - 13:07:36: Status: None
INFO - 13:07:36: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:36: Number of calls to the objective function by the optimizer: 6
INFO - 13:07:36: Solution:
INFO - 13:07:36: The solution is feasible.
INFO - 13:07:36: Objective: -0.039116963260157823
INFO - 13:07:36: Standardized constraints:
INFO - 13:07:36: beta_sub_optim_constraint = [3.98110345e-09 9.95290073e-10]
INFO - 13:07:36: wrapped_ineq1 = [-21.92182929]
INFO - 13:07:36: wrapped_ineq2 = [-9.05571225]
INFO - 13:07:36: Design space:
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.72040974366729 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: | t | -inf | 0.03911696326015782 | inf | float |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: Solving mNBI sub-problem for beta = [0.06122449 0.93877551]
INFO - 13:07:36: Optimization problem:
INFO - 13:07:36: minimize -t_extraction
INFO - 13:07:36: with respect to t, x, y
INFO - 13:07:36: subject to constraints:
INFO - 13:07:36: wrapped_ineq1 <= 0.0
INFO - 13:07:36: wrapped_ineq2 <= 0.0
INFO - 13:07:36: beta_sub_optim_constraint <= 0.0
INFO - 13:07:36: over the design space:
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.72040974366729 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: | t | -inf | 0.03911696326015782 | inf | float |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: Optimization result:
INFO - 13:07:36: Optimizer info:
INFO - 13:07:36: Status: None
INFO - 13:07:36: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:36: Number of calls to the objective function by the optimizer: 6
INFO - 13:07:36: Solution:
INFO - 13:07:36: The solution is feasible.
INFO - 13:07:36: Objective: -0.05737235642328731
INFO - 13:07:36: Standardized constraints:
INFO - 13:07:36: beta_sub_optim_constraint = [7.14383042e-09 1.78594872e-09]
INFO - 13:07:36: wrapped_ineq1 = [-21.82280186]
INFO - 13:07:36: wrapped_ineq2 = [-10.00289268]
INFO - 13:07:36: Design space:
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.579050909340598 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: | t | -inf | 0.05737235642328731 | inf | float |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: Solving mNBI sub-problem for beta = [0.08163265 0.91836735]
INFO - 13:07:36: Optimization problem:
INFO - 13:07:36: minimize -t_extraction
INFO - 13:07:36: with respect to t, x, y
INFO - 13:07:36: subject to constraints:
INFO - 13:07:36: wrapped_ineq1 <= 0.0
INFO - 13:07:36: wrapped_ineq2 <= 0.0
INFO - 13:07:36: beta_sub_optim_constraint <= 0.0
INFO - 13:07:36: over the design space:
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.579050909340598 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: | t | -inf | 0.05737235642328731 | inf | float |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: Optimization result:
INFO - 13:07:36: Optimizer info:
INFO - 13:07:36: Status: None
INFO - 13:07:36: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:36: Number of calls to the objective function by the optimizer: 6
INFO - 13:07:36: Solution:
INFO - 13:07:36: The solution is feasible.
INFO - 13:07:36: Objective: -0.07473266827131965
INFO - 13:07:36: Standardized constraints:
INFO - 13:07:36: beta_sub_optim_constraint = [1.20517250e-08 3.01292014e-09]
INFO - 13:07:36: wrapped_ineq1 = [-21.6826007]
INFO - 13:07:36: wrapped_ineq2 = [-10.99769144]
INFO - 13:07:36: Design space:
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: | x | 0 | 4.436617977435788 | 5 | float |
INFO - 13:07:36: | y | 0 | 3 | 3 | float |
INFO - 13:07:36: | t | -inf | 0.07473266827131965 | inf | float |
INFO - 13:07:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:36: Solving mNBI sub-problem for beta = [0.10204082 0.89795918]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 4.436617977435788 | 5 | float |
INFO - 13:07:37: | y | 0 | 3 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.07473266827131965 | inf | float |
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 6
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.09117717984627852
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [1.93664267e-08 4.84161777e-09]
INFO - 13:07:37: wrapped_ineq1 = [-21.50027272]
INFO - 13:07:37: wrapped_ineq2 = [-12.04121077]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 4.293086085203288 | 5 | float |
INFO - 13:07:37: | y | 0 | 3 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.09117717984627852 | inf | float |
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.12244898 0.87755102]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 4.293086085203288 | 5 | float |
INFO - 13:07:37: | y | 0 | 3 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.09117717984627852 | inf | float |
INFO - 13:07:37: +------+-------------+---------------------+-------------+-------+
ERROR - 13:07:37: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 7
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.10668436014525945
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.51096929e-11 8.78408457e-12]
INFO - 13:07:37: wrapped_ineq1 = [-21.27482751]
INFO - 13:07:37: wrapped_ineq2 = [-13.13459612]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 4.148429395439616 | 5 | float |
INFO - 13:07:37: | y | 0 | 3 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1066843601452594 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.14285714 0.85714286]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 4.148429395439616 | 5 | float |
INFO - 13:07:37: | y | 0 | 3 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1066843601452594 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 7
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.12123182146850985
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [7.14649673e-10 1.78657089e-10]
INFO - 13:07:37: wrapped_ineq1 = [-21.00523522]
INFO - 13:07:37: wrapped_ineq2 = [-14.27903853]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 4.00262104290507 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1212318214685098 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.16326531 0.83673469]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 4.00262104290507 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1212318214685098 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 7
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.13479627008369346
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.89851706e-09 9.74638148e-10]
INFO - 13:07:37: wrapped_ineq1 = [-20.69042434]
INFO - 13:07:37: wrapped_ineq2 = [-15.47577721]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.855633075120841 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1347962700836935 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.18367347 0.81632653]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.855633075120841 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1347962700836935 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 51/10000 [00:00<01:00, 164.90 it/sec, obj=[91.13311604 5.72210115]]
INFO - 13:07:37: 1%| | 52/10000 [00:00<00:59, 167.03 it/sec, obj=[90.98201571 5.67057449]]
INFO - 13:07:37: 1%| | 53/10000 [00:00<00:58, 169.10 it/sec, obj=[90.98033835 5.67072068]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 7
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.14735345456781318
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [1.27930946e-08 3.19828164e-09]
INFO - 13:07:37: wrapped_ineq1 = [-20.32927932]
INFO - 13:07:37: wrapped_ineq2 = [-16.72610234]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.707436390379335 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1473534545678132 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.20408163 0.79591837]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.707436390379335 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1473534545678132 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 54/10000 [00:00<01:01, 161.69 it/sec, obj=[90.98033835 5.67072069]]
INFO - 13:07:37: 1%| | 55/10000 [00:00<01:00, 163.71 it/sec, obj=[86.87227776 6.15451932]]
INFO - 13:07:37: 1%| | 56/10000 [00:00<01:00, 165.73 it/sec, obj=[86.79273879 6.13168151]]
INFO - 13:07:37: 1%| | 57/10000 [00:00<00:59, 167.75 it/sec, obj=[86.64002261 6.07910396]]
INFO - 13:07:37: 1%| | 58/10000 [00:00<00:58, 169.64 it/sec, obj=[86.63747508 6.07936207]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 7
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.1588781096372043
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.20401661e-08 8.01002464e-09]
INFO - 13:07:37: wrapped_ineq1 = [-19.92063793]
INFO - 13:07:37: wrapped_ineq2 = [-18.03135804]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.558000670340158 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1588781096372043 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.2244898 0.7755102]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.558000670340158 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1588781096372043 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 59/10000 [00:00<01:01, 162.64 it/sec, obj=[86.63747507 6.07936207]]
INFO - 13:07:37: 1%| | 60/10000 [00:00<01:00, 164.43 it/sec, obj=[82.63360778 6.59843971]]
INFO - 13:07:37: 1%| | 61/10000 [00:00<00:59, 166.24 it/sec, obj=[82.58117253 6.58480869]]
INFO - 13:07:37: 1%| | 62/10000 [00:00<00:59, 168.06 it/sec, obj=[82.44216977 6.53629639]]
INFO - 13:07:37: 1%| | 63/10000 [00:00<00:58, 169.77 it/sec, obj=[82.43861799 6.53671142]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 7
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.16934389579669745
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [6.79102712e-08 1.69775749e-08]
INFO - 13:07:37: wrapped_ineq1 = [-19.46328858]
INFO - 13:07:37: wrapped_ineq2 = [-19.39294558]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.407294307609098 | 5 | float |
INFO - 13:07:37: | y | 0 | 3 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1693438957966975 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.24489796 0.75510204]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.407294307609098 | 5 | float |
INFO - 13:07:37: | y | 0 | 3 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1693438957966975 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 64/10000 [00:00<01:00, 163.07 it/sec, obj=[82.43861798 6.53671142]]
INFO - 13:07:37: 1%| | 65/10000 [00:00<01:00, 164.76 it/sec, obj=[78.53361942 7.08925061]]
INFO - 13:07:37: 1%| | 66/10000 [00:00<00:59, 166.48 it/sec, obj=[78.50182599 7.08263752]]
INFO - 13:07:37: 1%| | 67/10000 [00:00<00:59, 168.19 it/sec, obj=[78.41003382 7.05023994]]
INFO - 13:07:37: 1%| | 68/10000 [00:00<00:58, 169.88 it/sec, obj=[78.38769295 7.04400749]]
INFO - 13:07:37: 1%| | 69/10000 [00:00<00:57, 171.41 it/sec, obj=[78.38750419 7.04403278]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.17872333352271239
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.10178541e-10 5.25481880e-11]
INFO - 13:07:37: wrapped_ineq1 = [-18.95596722]
INFO - 13:07:37: wrapped_ineq2 = [-20.81232682]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.255284326757868 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1787233335227124 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.26530612 0.73469388]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.255284326757868 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1787233335227124 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 70/10000 [00:00<01:00, 164.49 it/sec, obj=[78.38750419 7.04403278]]
INFO - 13:07:37: 1%| | 71/10000 [00:00<00:59, 166.01 it/sec, obj=[74.5757022 7.62809747]]
INFO - 13:07:37: 1%| | 72/10000 [00:00<00:59, 167.57 it/sec, obj=[74.55815323 7.62633759]]
INFO - 13:07:37: 1%| | 73/10000 [00:00<00:58, 169.14 it/sec, obj=[74.52212525 7.613629 ]]
INFO - 13:07:37: 1%| | 74/10000 [00:00<00:58, 170.71 it/sec, obj=[74.48992139 7.60235729]]
INFO - 13:07:37: 1%| | 75/10000 [00:00<00:57, 172.16 it/sec, obj=[74.48803532 7.6026458 ]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.18698773568316415
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.31057591e-08 5.77643711e-09]
INFO - 13:07:37: wrapped_ineq1 = [-18.3973542]
INFO - 13:07:37: wrapped_ineq2 = [-22.29102798]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.101936303227963 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1869877356831642 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.28571429 0.71428571]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 3.101936303227963 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.999999999999999 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1869877356831642 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 76/10000 [00:00<00:59, 166.51 it/sec, obj=[74.48803531 7.6026458 ]]
INFO - 13:07:37: 1%| | 77/10000 [00:00<00:59, 167.95 it/sec, obj=[70.76339035 8.21617467]]
INFO - 13:07:37: 1%| | 78/10000 [00:00<00:58, 169.33 it/sec, obj=[70.75364182 8.2170892 ]]
INFO - 13:07:37: 1%| | 79/10000 [00:00<00:58, 170.75 it/sec, obj=[70.74802175 8.21511043]]
INFO - 13:07:37: 1%| | 80/10000 [00:00<00:57, 172.21 it/sec, obj=[70.74140345 8.21207811]]
INFO - 13:07:37: 1%| | 81/10000 [00:00<00:57, 173.56 it/sec, obj=[70.73968188 8.21237139]]
INFO - 13:07:37: 1%| | 82/10000 [00:00<00:56, 174.95 it/sec, obj=[70.73968188 8.21237139]]
INFO - 13:07:37: 1%| | 83/10000 [00:00<00:56, 176.32 it/sec, obj=[70.73968188 8.21237139]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 11
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.19414099479150054
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.11356345e-08 7.78391573e-09]
INFO - 13:07:37: wrapped_ineq1 = [-17.92019865]
INFO - 13:07:37: wrapped_ineq2 = [-23.53802261]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.973629789913416 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.973625118122099 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1941409947915005 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.30612245 0.69387755]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.973629789913416 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.973625118122099 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1941409947915005 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 84/10000 [00:00<00:58, 170.77 it/sec, obj=[70.73968188 8.21237139]]
INFO - 13:07:37: 1%| | 85/10000 [00:00<00:57, 172.07 it/sec, obj=[67.09621873 8.85332492]]
INFO - 13:07:37: 1%| | 86/10000 [00:00<00:57, 173.33 it/sec, obj=[67.08804434 8.85480969]]
INFO - 13:07:37: 1%| | 87/10000 [00:00<00:56, 174.62 it/sec, obj=[67.0880443 8.8548097]]
INFO - 13:07:37: 1%| | 88/10000 [00:00<00:56, 175.90 it/sec, obj=[67.0880443 8.8548097]]
INFO - 13:07:37: 1%| | 89/10000 [00:00<00:55, 177.17 it/sec, obj=[67.0880443 8.8548097]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.20058310916839558
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.48988449e-07 6.22471390e-08]
INFO - 13:07:37: wrapped_ineq1 = [-17.67674604]
INFO - 13:07:37: wrapped_ineq2 = [-24.24808091]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.895862173797936 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.895857965367402 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2005831091683956 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.32653061 0.67346939]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.895862173797936 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.895857965367402 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2005831091683956 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 90/10000 [00:00<00:57, 171.75 it/sec, obj=[67.0880443 8.8548097]]
INFO - 13:07:37: 1%| | 91/10000 [00:00<00:57, 172.98 it/sec, obj=[63.52518031 9.52298588]]
INFO - 13:07:37: 1%| | 92/10000 [00:00<00:56, 174.18 it/sec, obj=[63.51711685 9.524547 ]]
INFO - 13:07:37: 1%| | 93/10000 [00:00<00:56, 175.39 it/sec, obj=[63.51711681 9.52454701]]
INFO - 13:07:37: 1%| | 94/10000 [00:00<00:56, 176.59 it/sec, obj=[63.51711681 9.52454701]]
INFO - 13:07:37: 1%| | 95/10000 [00:00<00:55, 177.79 it/sec, obj=[63.51711681 9.52454701]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.20643176575416938
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.55896794e-07 6.39742002e-08]
INFO - 13:07:37: wrapped_ineq1 = [-17.42000005]
INFO - 13:07:37: wrapped_ineq2 = [-24.97356892]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.817738504953261 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.81773471599256 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2064317657541694 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.34693878 0.65306122]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.817738504953261 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.81773471599256 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2064317657541694 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 96/10000 [00:00<00:57, 172.87 it/sec, obj=[63.51711681 9.52454701]]
INFO - 13:07:37: 1%| | 97/10000 [00:00<00:56, 174.04 it/sec, obj=[60.03596622 10.22032201]]
INFO - 13:07:37: 1%| | 98/10000 [00:00<00:56, 175.14 it/sec, obj=[60.02801834 10.22196176]]
INFO - 13:07:37: 1%| | 99/10000 [00:00<00:56, 176.29 it/sec, obj=[60.0280183 10.22196177]]
INFO - 13:07:37: 1%| | 100/10000 [00:00<00:55, 177.42 it/sec, obj=[60.0280183 10.22196177]]
INFO - 13:07:37: 1%| | 101/10000 [00:00<00:55, 178.56 it/sec, obj=[60.0280183 10.22196177]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.2116787386187538
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.63062965e-07 6.57657448e-08]
INFO - 13:07:37: wrapped_ineq1 = [-17.14977639]
INFO - 13:07:37: wrapped_ineq2 = [-25.71470053]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.739253845837193 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.739250436423679 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2116787386187538 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.36734694 0.63265306]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.739253845837193 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.739250436423679 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2116787386187538 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 102/10000 [00:00<00:56, 174.04 it/sec, obj=[60.0280183 10.22196177]]
INFO - 13:07:37: 1%| | 103/10000 [00:00<00:56, 175.15 it/sec, obj=[56.62972127 10.94572048]]
INFO - 13:07:37: 1%| | 104/10000 [00:00<00:56, 176.21 it/sec, obj=[56.62189382 10.94744125]]
INFO - 13:07:37: 1%| | 105/10000 [00:00<00:55, 177.29 it/sec, obj=[56.62189377 10.94744126]]
INFO - 13:07:37: 1%| | 106/10000 [00:00<00:55, 178.36 it/sec, obj=[56.62189377 10.94744126]]
INFO - 13:07:37: 1%| | 107/10000 [00:00<00:55, 179.43 it/sec, obj=[56.62189377 10.94744126]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.21631560868059505
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.70499392e-07 6.76248444e-08]
INFO - 13:07:37: wrapped_ineq1 = [-16.86588647]
INFO - 13:07:37: wrapped_ineq2 = [-26.47169467]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.660403143187807 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.660400077024827 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.216315608680595 | inf | float |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.3877551 0.6122449]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.660403143187807 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.660400077024827 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.216315608680595 | inf | float |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: 1%| | 108/10000 [00:00<00:56, 175.04 it/sec, obj=[56.62189377 10.94744126]]
INFO - 13:07:37: 1%| | 109/10000 [00:00<00:56, 176.06 it/sec, obj=[53.3076172 11.69957762]]
INFO - 13:07:37: 1%| | 110/10000 [00:00<00:55, 177.08 it/sec, obj=[53.29991522 11.70138186]]
INFO - 13:07:37: 1%| | 111/10000 [00:00<00:55, 178.09 it/sec, obj=[53.29991518 11.70138187]]
INFO - 13:07:37: 1%| | 112/10000 [00:00<00:55, 179.12 it/sec, obj=[53.29991518 11.70138187]]
INFO - 13:07:37: 1%| | 113/10000 [00:00<00:54, 180.12 it/sec, obj=[53.29991518 11.70138187]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.22033375866664898
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.78218707e-07 6.95546820e-08]
INFO - 13:07:37: wrapped_ineq1 = [-16.56813726]
INFO - 13:07:37: wrapped_ineq2 = [-27.24477539]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.581181224985352 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.581178469088097 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.220333758666649 | inf | float |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.40816327 0.59183673]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.581181224985352 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.581178469088097 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.220333758666649 | inf | float |
INFO - 13:07:37: +------+-------------+-------------------+-------------+-------+
INFO - 13:07:37: 1%| | 114/10000 [00:00<00:56, 175.92 it/sec, obj=[53.29991518 11.70138187]]
INFO - 13:07:37: 1%| | 115/10000 [00:00<00:55, 176.89 it/sec, obj=[50.0708536 12.48229914]]
INFO - 13:07:37: 1%| | 116/10000 [00:00<00:55, 177.85 it/sec, obj=[50.06328236 12.48418942]]
INFO - 13:07:37: 1%| | 117/10000 [00:00<00:55, 178.83 it/sec, obj=[50.06328232 12.48418943]]
INFO - 13:07:37: 1%| | 118/10000 [00:00<00:54, 179.81 it/sec, obj=[50.06328232 12.48418943]]
INFO - 13:07:37: 1%| | 119/10000 [00:00<00:54, 180.77 it/sec, obj=[50.06328232 12.48418943]]
ERROR - 13:07:37: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.22372436651841346
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.86234556e-07 7.15586328e-08]
INFO - 13:07:37: wrapped_ineq1 = [-16.25633116]
INFO - 13:07:37: wrapped_ineq2 = [-28.03417206]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.501582796482902 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.501580320890217 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2237243665184135 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.42857143 0.57142857]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.501582796482902 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.501580320890217 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2237243665184135 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%| | 120/10000 [00:00<00:56, 176.26 it/sec, obj=[50.06328232 12.48418943]]
INFO - 13:07:37: 1%| | 121/10000 [00:00<00:55, 177.19 it/sec, obj=[46.92065884 13.2943005 ]]
INFO - 13:07:37: 1%| | 122/10000 [00:00<00:55, 178.09 it/sec, obj=[46.91322381 13.29627946]]
INFO - 13:07:37: 1%| | 123/10000 [00:00<00:55, 179.00 it/sec, obj=[46.91322377 13.29627947]]
INFO - 13:07:37: 1%| | 124/10000 [00:00<00:54, 179.93 it/sec, obj=[46.91322377 13.29627947]]
INFO - 13:07:37: 1%|▏ | 125/10000 [00:00<00:54, 180.84 it/sec, obj=[46.91322377 13.29627947]]
ERROR - 13:07:37: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.22647839851317916
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [2.94561392e-07 7.36403436e-08]
INFO - 13:07:37: wrapped_ineq1 = [-15.93026579]
INFO - 13:07:37: wrapped_ineq2 = [-28.84011959]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.421602436067144 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.421600213577244 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2264783985131792 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.44897959 0.55102041]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.421602436067144 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.421600213577244 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2264783985131792 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%|▏ | 126/10000 [00:00<00:55, 176.91 it/sec, obj=[46.91322377 13.29627947]]
INFO - 13:07:37: 1%|▏ | 127/10000 [00:00<00:55, 177.78 it/sec, obj=[43.85829104 14.13600721]]
INFO - 13:07:37: 1%|▏ | 128/10000 [00:00<00:55, 178.64 it/sec, obj=[43.85099793 14.1380776 ]]
INFO - 13:07:37: 1%|▏ | 129/10000 [00:00<00:54, 179.51 it/sec, obj=[43.85099789 14.13807762]]
INFO - 13:07:37: 1%|▏ | 130/10000 [00:00<00:54, 180.39 it/sec, obj=[43.85099789 14.13807762]]
INFO - 13:07:37: 1%|▏ | 131/10000 [00:00<00:54, 181.25 it/sec, obj=[43.85099789 14.13807762]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.22858660208532175
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.03214339e-07 7.58035767e-08]
INFO - 13:07:37: wrapped_ineq1 = [-15.5897339]
INFO - 13:07:37: wrapped_ineq2 = [-29.66285855]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.341234590940154 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.341232596868358 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2285866020853217 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.46938776 0.53061224]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.341234590940154 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.341232596868358 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2285866020853217 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%|▏ | 132/10000 [00:00<00:55, 177.57 it/sec, obj=[43.85099789 14.13807762]]
INFO - 13:07:37: 1%|▏ | 133/10000 [00:00<00:55, 178.43 it/sec, obj=[40.88503908 15.00785519]]
INFO - 13:07:37: 1%|▏ | 134/10000 [00:00<00:55, 179.24 it/sec, obj=[40.87789385 15.01001989]]
INFO - 13:07:37: 1%|▏ | 135/10000 [00:00<00:54, 180.09 it/sec, obj=[40.8778938 15.0100199]]
INFO - 13:07:37: 1%|▏ | 136/10000 [00:00<00:54, 180.93 it/sec, obj=[40.8778938 15.0100199]]
INFO - 13:07:37: 1%|▏ | 137/10000 [00:00<00:54, 181.77 it/sec, obj=[40.8778938 15.0100199]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.2300394983315002
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.12209433e-07 7.80523699e-08]
INFO - 13:07:37: wrapped_ineq1 = [-15.23452317]
INFO - 13:07:37: wrapped_ineq2 = [-30.5026354]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.260473572612368 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.260471784569106 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2300394983315002 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.48979592 0.51020408]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.260473572612368 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.260471784569106 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2300394983315002 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%|▏ | 138/10000 [00:00<00:55, 178.19 it/sec, obj=[40.8778938 15.0100199]]
INFO - 13:07:37: 1%|▏ | 139/10000 [00:00<00:55, 178.99 it/sec, obj=[38.00222368 15.91029114]]
INFO - 13:07:37: 1%|▏ | 140/10000 [00:00<00:54, 179.78 it/sec, obj=[37.99523253 15.91255311]]
INFO - 13:07:37: 1%|▏ | 141/10000 [00:00<00:54, 180.59 it/sec, obj=[37.99523249 15.91255313]]
INFO - 13:07:37: 1%|▏ | 142/10000 [00:00<00:54, 181.40 it/sec, obj=[37.99523249 15.91255313]]
INFO - 13:07:37: 1%|▏ | 143/10000 [00:00<00:54, 182.20 it/sec, obj=[37.99523249 15.91255313]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.23082737418257268
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.21563956e-07 8.03909845e-08]
INFO - 13:07:37: wrapped_ineq1 = [-14.86441601]
INFO - 13:07:37: wrapped_ineq2 = [-31.35970267]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.17931355219642 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.179311949883894 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2308273741825727 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.51020408 0.48979592]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.17931355219642 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.179311949883894 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2308273741825727 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 1%|▏ | 144/10000 [00:00<00:55, 178.84 it/sec, obj=[37.99523249 15.91255313]]
INFO - 13:07:37: 1%|▏ | 145/10000 [00:00<00:54, 179.63 it/sec, obj=[35.21119851 16.84377288]]
INFO - 13:07:37: 1%|▏ | 146/10000 [00:00<00:54, 180.40 it/sec, obj=[35.20436793 16.84613522]]
INFO - 13:07:37: 1%|▏ | 147/10000 [00:00<00:54, 181.17 it/sec, obj=[35.20436789 16.84613524]]
INFO - 13:07:37: 1%|▏ | 148/10000 [00:00<00:54, 181.95 it/sec, obj=[35.20436789 16.84613524]]
INFO - 13:07:37: 1%|▏ | 149/10000 [00:00<00:53, 182.72 it/sec, obj=[35.20436789 16.84613524]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.23094027422393923
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.31295993e-07 8.28240108e-08]
INFO - 13:07:37: wrapped_ineq1 = [-14.47918943]
INFO - 13:07:37: wrapped_ineq2 = [-32.23431923]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.097748555490748 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.097747120516756 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2309402742239392 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.53061224 0.46938776]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.097748555490748 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.097747120516756 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2309402742239392 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 150/10000 [00:00<00:54, 179.37 it/sec, obj=[35.20436789 16.84613524]]
INFO - 13:07:37: 2%|▏ | 151/10000 [00:00<00:54, 180.12 it/sec, obj=[32.51335135 17.80876979]]
INFO - 13:07:37: 2%|▏ | 152/10000 [00:00<00:54, 180.85 it/sec, obj=[32.5066881 17.81123571]]
INFO - 13:07:37: 2%|▏ | 153/10000 [00:00<00:54, 181.60 it/sec, obj=[32.50668806 17.81123573]]
INFO - 13:07:37: 2%|▏ | 154/10000 [00:00<00:53, 182.34 it/sec, obj=[32.50668806 17.81123573]]
INFO - 13:07:37: 2%|▏ | 155/10000 [00:00<00:53, 183.09 it/sec, obj=[32.50668806 17.81123573]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.23036799214481465
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.41424769e-07 8.53562128e-08]
INFO - 13:07:37: wrapped_ineq1 = [-14.0786148]
INFO - 13:07:37: wrapped_ineq2 = [-33.12675045]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.015772457841285 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.01577117354882 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2303679921448147 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.55102041 0.44897959]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 2.015772457841285 | 5 | float |
INFO - 13:07:37: | y | 0 | 2.01577117354882 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2303679921448147 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 156/10000 [00:00<00:54, 179.95 it/sec, obj=[32.50668806 17.81123573]]
INFO - 13:07:37: 2%|▏ | 157/10000 [00:00<00:54, 180.67 it/sec, obj=[29.9101053 18.80576318]]
INFO - 13:07:37: 2%|▏ | 158/10000 [00:00<00:54, 181.36 it/sec, obj=[29.90361644 18.80833602]]
INFO - 13:07:37: 2%|▏ | 159/10000 [00:00<00:54, 182.09 it/sec, obj=[29.9036164 18.80833604]]
INFO - 13:07:37: 2%|▏ | 160/10000 [00:00<00:53, 182.80 it/sec, obj=[29.9036164 18.80833604]]
INFO - 13:07:37: 2%|▏ | 161/10000 [00:00<00:53, 183.53 it/sec, obj=[29.9036164 18.80833604]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.22910006179565373
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.51970648e-07 8.79926638e-08]
INFO - 13:07:37: wrapped_ineq1 = [-13.66245768]
INFO - 13:07:37: wrapped_ineq2 = [-34.03726845]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.933378978768651 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.933377830080014 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2291000617956537 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.57142857 0.42857143]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.933378978768651 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.933377830080014 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2291000617956537 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 162/10000 [00:00<00:54, 180.40 it/sec, obj=[29.9036164 18.80833604]]
INFO - 13:07:37: 2%|▏ | 163/10000 [00:00<00:54, 181.10 it/sec, obj=[27.40292005 19.83524673]]
INFO - 13:07:37: 2%|▏ | 164/10000 [00:00<00:54, 181.77 it/sec, obj=[27.39661294 19.83792998]]
INFO - 13:07:37: 2%|▏ | 165/10000 [00:00<00:53, 182.47 it/sec, obj=[27.3966129 19.83792999]]
INFO - 13:07:37: 2%|▏ | 166/10000 [00:00<00:53, 183.17 it/sec, obj=[27.3966129 19.83792999]]
INFO - 13:07:37: 2%|▏ | 167/10000 [00:00<00:53, 183.86 it/sec, obj=[27.3966129 19.83792999]]
INFO - 13:07:37: 2%|▏ | 168/10000 [00:00<00:53, 184.54 it/sec, obj=[27.3966129 19.83792999]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 10
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.2271257478315496
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.62955255e-07 9.07388049e-08]
INFO - 13:07:37: wrapped_ineq1 = [-13.2304776]
INFO - 13:07:37: wrapped_ineq2 = [-34.96615235]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.850561676347525 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.850560649621767 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2271257478315496 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.59183673 0.40816327]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.850561676347525 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.850560649621767 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2271257478315496 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 169/10000 [00:00<00:54, 181.16 it/sec, obj=[27.3966129 19.83792999]]
INFO - 13:07:37: 2%|▏ | 170/10000 [00:00<00:54, 181.82 it/sec, obj=[24.99329321 20.89772698]]
INFO - 13:07:37: 2%|▏ | 171/10000 [00:00<00:53, 182.48 it/sec, obj=[24.98717557 20.90052424]]
INFO - 13:07:37: 2%|▏ | 172/10000 [00:00<00:53, 183.12 it/sec, obj=[24.98717553 20.90052426]]
INFO - 13:07:37: 2%|▏ | 173/10000 [00:00<00:53, 183.79 it/sec, obj=[24.98717553 20.90052426]]
INFO - 13:07:37: 2%|▏ | 174/10000 [00:00<00:53, 184.44 it/sec, obj=[24.98717553 20.90052426]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.22443403591793576
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.74401839e-07 9.36004643e-08]
INFO - 13:07:37: wrapped_ineq1 = [-12.78242782]
INFO - 13:07:37: wrapped_ineq2 = [-35.91368853]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.767313941323945 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.76731302422656 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2244340359179358 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.6122449 0.3877551]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.767313941323945 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.76731302422656 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2244340359179358 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 175/10000 [00:00<00:54, 181.45 it/sec, obj=[24.98717553 20.90052426]]
INFO - 13:07:37: 2%|▏ | 176/10000 [00:00<00:53, 182.09 it/sec, obj=[22.68276174 21.99372372]]
INFO - 13:07:37: 2%|▏ | 177/10000 [00:00<00:53, 182.72 it/sec, obj=[22.67684161 21.99663877]]
INFO - 13:07:37: 2%|▏ | 178/10000 [00:00<00:53, 183.35 it/sec, obj=[22.67684157 21.99663879]]
INFO - 13:07:37: 2%|▏ | 179/10000 [00:00<00:53, 184.00 it/sec, obj=[22.67684157 21.99663879]]
INFO - 13:07:37: 2%|▏ | 180/10000 [00:00<00:53, 184.64 it/sec, obj=[22.67684157 21.99663879]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.2210136224732968
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.86334811e-07 9.65836904e-08]
INFO - 13:07:37: wrapped_ineq1 = [-12.31805516]
INFO - 13:07:37: wrapped_ineq2 = [-36.8801709]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.683628990955317 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.683628172339174 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2210136224732968 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.63265306 0.36734694]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.683628990955317 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.683628172339174 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2210136224732968 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 181/10000 [00:00<00:54, 181.82 it/sec, obj=[22.67684157 21.99663879]]
INFO - 13:07:37: 2%|▏ | 182/10000 [00:00<00:53, 182.45 it/sec, obj=[20.47290335 23.12377058]]
INFO - 13:07:37: 2%|▏ | 183/10000 [00:00<00:53, 183.05 it/sec, obj=[20.46718914 23.12680734]]
INFO - 13:07:37: 2%|▏ | 184/10000 [00:01<00:53, 183.68 it/sec, obj=[20.4671891 23.12680736]]
INFO - 13:07:37: 2%|▏ | 185/10000 [00:01<00:53, 184.31 it/sec, obj=[20.4671891 23.12680736]]
INFO - 13:07:37: 2%|▏ | 186/10000 [00:01<00:53, 184.92 it/sec, obj=[20.4671891 23.12680736]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.21685290392186843
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [3.98780355e-07 9.96950877e-08]
INFO - 13:07:37: wrapped_ineq1 = [-11.83709968]
INFO - 13:07:37: wrapped_ineq2 = [-37.86590114]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.599499862556864 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.599499132353464 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2168529039218684 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.65306122 0.34693878]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.599499862556864 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.599499132353464 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2168529039218684 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 187/10000 [00:01<00:53, 182.12 it/sec, obj=[20.4671891 23.12680736]]
INFO - 13:07:37: 2%|▏ | 188/10000 [00:01<00:53, 182.72 it/sec, obj=[18.36533807 24.28841546]]
INFO - 13:07:37: 2%|▏ | 189/10000 [00:01<00:53, 183.30 it/sec, obj=[18.35983858 24.29157802]]
INFO - 13:07:37: 2%|▏ | 190/10000 [00:01<00:53, 183.92 it/sec, obj=[18.35983854 24.29157804]]
INFO - 13:07:37: 2%|▏ | 191/10000 [00:01<00:53, 184.51 it/sec, obj=[18.35983854 24.29157804]]
INFO - 13:07:37: 2%|▏ | 192/10000 [00:01<00:52, 185.12 it/sec, obj=[18.35983854 24.29157804]]
INFO - 13:07:37: 2%|▏ | 193/10000 [00:01<00:52, 185.72 it/sec, obj=[18.35983854 24.29157804]]
INFO - 13:07:37: 2%|▏ | 194/10000 [00:01<00:52, 186.32 it/sec, obj=[18.35983854 24.29157804]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 11
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.21193996542739033
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [4.11766273e-07 1.02941568e-07]
INFO - 13:07:37: wrapped_ineq1 = [-11.3392945]
INFO - 13:07:37: wrapped_ineq2 = [-38.87118906]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.51491940673715 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.514918755857356 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2119399654273903 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.67346939 0.32653061]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.51491940673715 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.514918755857356 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2119399654273903 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 195/10000 [00:01<00:53, 183.69 it/sec, obj=[18.35983854 24.29157804]]
INFO - 13:07:37: 2%|▏ | 196/10000 [00:01<00:53, 184.28 it/sec, obj=[16.36172986 25.48822114]]
INFO - 13:07:37: 2%|▏ | 197/10000 [00:01<00:53, 184.84 it/sec, obj=[16.3564543 25.49151377]]
INFO - 13:07:37: 2%|▏ | 198/10000 [00:01<00:52, 185.42 it/sec, obj=[16.35645426 25.49151379]]
INFO - 13:07:37: 2%|▏ | 199/10000 [00:01<00:52, 186.00 it/sec, obj=[16.35645426 25.49151379]]
INFO - 13:07:37: 2%|▏ | 200/10000 [00:01<00:52, 186.59 it/sec, obj=[16.35645426 25.49151379]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.20626256907696766
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [4.25322266e-07 1.06330560e-07]
INFO - 13:07:37: wrapped_ineq1 = [-10.82436549]
INFO - 13:07:37: wrapped_ineq2 = [-39.89635283]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.429880280304049 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.429879700547501 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2062625690769677 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.69387755 0.30612245]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.429880280304049 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.429879700547501 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.2062625690769677 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 201/10000 [00:01<00:53, 183.96 it/sec, obj=[16.35645426 25.49151379]]
INFO - 13:07:37: 2%|▏ | 202/10000 [00:01<00:53, 184.53 it/sec, obj=[14.47758697 26.71439073]]
INFO - 13:07:37: 2%|▏ | 203/10000 [00:01<00:52, 185.08 it/sec, obj=[14.45874675 26.72719261]]
INFO - 13:07:37: 2%|▏ | 204/10000 [00:01<00:52, 185.64 it/sec, obj=[14.45874622 26.72719297]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 7
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.19980817971995912
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [6.13336110e-06 1.53334028e-06]
INFO - 13:07:37: wrapped_ineq1 = [-10.29203113]
INFO - 13:07:37: wrapped_ineq2 = [-40.9417191]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.344374961670887 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.344374445829802 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1998081797199591 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.71428571 0.28571429]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.344374961670887 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.344374445829802 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1998081797199591 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 205/10000 [00:01<00:53, 183.13 it/sec, obj=[14.45874622 26.72719297]]
INFO - 13:07:37: 2%|▏ | 206/10000 [00:01<00:53, 183.70 it/sec, obj=[12.79525861 27.90527931]]
INFO - 13:07:37: 2%|▏ | 207/10000 [00:01<00:53, 184.23 it/sec, obj=[12.66849755 27.99919087]]
INFO - 13:07:37: 2%|▏ | 208/10000 [00:01<00:52, 184.76 it/sec, obj=[12.66847181 27.99921 ]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 6
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.19256375769204676
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [1.31272770e-11 3.24895666e-12]
INFO - 13:07:37: wrapped_ineq1 = [-9.74200144]
INFO - 13:07:37: wrapped_ineq2 = [-42.00762488]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.258395613690263 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.258395181254487 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1925637576920468 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.73469388 0.26530612]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.258395613690263 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.258395181254487 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1925637576920468 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 209/10000 [00:01<00:53, 182.31 it/sec, obj=[12.66847181 27.99921 ]]
INFO - 13:07:37: 2%|▏ | 210/10000 [00:01<00:53, 182.84 it/sec, obj=[11.20879156 29.1285928 ]]
INFO - 13:07:37: 2%|▏ | 211/10000 [00:01<00:53, 183.39 it/sec, obj=[10.98752193 29.30810713]]
INFO - 13:07:37: 2%|▏ | 212/10000 [00:01<00:53, 183.93 it/sec, obj=[10.98743766 29.30817594]]
INFO - 13:07:37: 2%|▏ | 213/10000 [00:01<00:53, 184.46 it/sec, obj=[10.98743766 29.30817594]]
INFO - 13:07:37: 2%|▏ | 214/10000 [00:01<00:52, 185.00 it/sec, obj=[10.98743766 29.30817594]]
INFO - 13:07:37: Optimization result:
INFO - 13:07:37: Optimizer info:
INFO - 13:07:37: Status: None
INFO - 13:07:37: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:37: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:37: Solution:
INFO - 13:07:37: The solution is feasible.
INFO - 13:07:37: Objective: -0.18451613967087852
INFO - 13:07:37: Standardized constraints:
INFO - 13:07:37: beta_sub_optim_constraint = [1.61517022e-10 4.03943545e-11]
INFO - 13:07:37: wrapped_ineq1 = [-9.17397942]
INFO - 13:07:37: wrapped_ineq2 = [-43.09441446]
INFO - 13:07:37: Design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.171934353980414 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.171933993216481 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1845161396708785 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: Solving mNBI sub-problem for beta = [0.75510204 0.24489796]
INFO - 13:07:37: Optimization problem:
INFO - 13:07:37: minimize -t_extraction
INFO - 13:07:37: with respect to t, x, y
INFO - 13:07:37: subject to constraints:
INFO - 13:07:37: wrapped_ineq1 <= 0.0
INFO - 13:07:37: wrapped_ineq2 <= 0.0
INFO - 13:07:37: beta_sub_optim_constraint <= 0.0
INFO - 13:07:37: over the design space:
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: | x | 0 | 1.171934353980414 | 5 | float |
INFO - 13:07:37: | y | 0 | 1.171933993216481 | 3 | float |
INFO - 13:07:37: | t | -inf | 0.1845161396708785 | inf | float |
INFO - 13:07:37: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:37: 2%|▏ | 215/10000 [00:01<00:53, 182.16 it/sec, obj=[10.98743766 29.30817594]]
INFO - 13:07:37: 2%|▏ | 216/10000 [00:01<00:53, 182.69 it/sec, obj=[ 9.71968091 30.3848744 ]]
INFO - 13:07:37: 2%|▏ | 217/10000 [00:01<00:53, 183.24 it/sec, obj=[ 9.41767114 30.65456624]]
INFO - 13:07:37: 2%|▏ | 218/10000 [00:01<00:53, 183.74 it/sec, obj=[ 9.4175016 30.65471918]]
INFO - 13:07:37: 2%|▏ | 219/10000 [00:01<00:53, 184.26 it/sec, obj=[ 9.4175016 30.65471918]]
INFO - 13:07:38: 2%|▏ | 220/10000 [00:01<00:52, 184.79 it/sec, obj=[ 9.4175016 30.65471918]]
ERROR - 13:07:38: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.1756516238776123
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [7.63062502e-10 1.90773619e-10]
INFO - 13:07:38: wrapped_ineq1 = [-8.58765892]
INFO - 13:07:38: wrapped_ineq2 = [-44.20244331]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 1.084982960726322 | 5 | float |
INFO - 13:07:38: | y | 0 | 1.084982661396205 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1756516238776123 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.7755102 0.2244898]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 1.084982960726322 | 5 | float |
INFO - 13:07:38: | y | 0 | 1.084982661396205 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1756516238776123 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: 2%|▏ | 221/10000 [00:01<00:53, 182.39 it/sec, obj=[ 9.4175016 30.65471918]]
INFO - 13:07:38: 2%|▏ | 222/10000 [00:01<00:53, 182.90 it/sec, obj=[ 8.32946895 31.67468615]]
INFO - 13:07:38: 2%|▏ | 223/10000 [00:01<00:53, 183.43 it/sec, obj=[ 7.96084914 32.03921088]]
INFO - 13:07:38: 2%|▏ | 224/10000 [00:01<00:53, 183.92 it/sec, obj=[ 7.96057475 32.03948612]]
INFO - 13:07:38: 2%|▏ | 225/10000 [00:01<00:53, 184.43 it/sec, obj=[ 7.96057475 32.03948612]]
INFO - 13:07:38: 2%|▏ | 226/10000 [00:01<00:52, 184.94 it/sec, obj=[ 7.96057475 32.03948612]]
ERROR - 13:07:38: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.16595615806991307
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [2.36441267e-09 5.91105831e-10]
INFO - 13:07:38: wrapped_ineq1 = [-7.98272517]
INFO - 13:07:38: wrapped_ineq2 = [-45.33207681]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.9975330019237079 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.9975327551071317 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1659561580699131 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.79591837 0.20408163]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.9975330019237079 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.9975327551071317 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1659561580699131 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: 2%|▏ | 227/10000 [00:01<00:53, 182.68 it/sec, obj=[ 7.96057475 32.03948612]]
INFO - 13:07:38: 2%|▏ | 228/10000 [00:01<00:53, 183.16 it/sec, obj=[ 7.03974946 32.99860817]]
INFO - 13:07:38: 2%|▏ | 229/10000 [00:01<00:53, 183.67 it/sec, obj=[ 6.61901468 33.46270227]]
INFO - 13:07:38: 2%|▏ | 230/10000 [00:01<00:53, 184.16 it/sec, obj=[ 6.61862363 33.46314191]]
INFO - 13:07:38: 2%|▏ | 231/10000 [00:01<00:52, 184.66 it/sec, obj=[ 6.61862363 33.46314191]]
INFO - 13:07:38: 2%|▏ | 232/10000 [00:01<00:52, 185.16 it/sec, obj=[ 6.61862363 33.46314191]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.15541528244966385
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [5.77598058e-09 1.44399870e-09]
INFO - 13:07:38: wrapped_ineq1 = [-7.35885427]
INFO - 13:07:38: wrapped_ineq2 = [-46.48369092]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.9095758011140623 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.9095755990500299 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1554152824496638 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.81632653 0.18367347]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.9095758011140623 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.9095755990500299 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1554152824496638 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: 2%|▏ | 233/10000 [00:01<00:53, 182.90 it/sec, obj=[ 6.61862363 33.46314191]]
INFO - 13:07:38: 2%|▏ | 234/10000 [00:01<00:53, 183.39 it/sec, obj=[ 5.85216964 34.35723983]]
INFO - 13:07:38: 2%|▏ | 235/10000 [00:01<00:53, 183.90 it/sec, obj=[ 5.3941836 34.92572093]]
INFO - 13:07:38: 2%|▏ | 236/10000 [00:01<00:52, 184.37 it/sec, obj=[ 5.39367249 34.92637122]]
INFO - 13:07:38: 2%|▏ | 237/10000 [00:01<00:52, 184.86 it/sec, obj=[ 5.39367249 34.92637122]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.14401411292017569
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [1.21076233e-08 3.02691650e-09]
INFO - 13:07:38: wrapped_ineq1 = [-6.71571281]
INFO - 13:07:38: wrapped_ineq2 = [-47.65767262]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.8211024273304834 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.8211022632757734 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1440141129201757 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.83673469 0.16326531]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.8211024273304834 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.8211022632757734 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1440141129201757 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: 2%|▏ | 238/10000 [00:01<00:53, 182.68 it/sec, obj=[ 5.39367249 34.92637122]]
INFO - 13:07:38: 2%|▏ | 239/10000 [00:01<00:53, 183.15 it/sec, obj=[ 4.76843256 35.75120053]]
INFO - 13:07:38: 2%|▏ | 240/10000 [00:01<00:53, 183.63 it/sec, obj=[ 4.28843115 36.42896749]]
INFO - 13:07:38: 2%|▏ | 241/10000 [00:01<00:53, 184.10 it/sec, obj=[ 4.28780567 36.42987905]]
INFO - 13:07:38: 2%|▏ | 242/10000 [00:01<00:52, 184.57 it/sec, obj=[ 4.28780567 36.42987905]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.1317373234485701
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [2.28092674e-08 5.70231240e-09]
INFO - 13:07:38: wrapped_ineq1 = [-6.05295749]
INFO - 13:07:38: wrapped_ineq2 = [-48.85442041]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.7321036845077268 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.7321035526101565 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1317373234485701 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.85714286 0.14285714]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.7321036845077268 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.7321035526101565 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1317373234485701 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: 2%|▏ | 243/10000 [00:01<00:53, 182.51 it/sec, obj=[ 4.28780567 36.42987905]]
INFO - 13:07:38: 2%|▏ | 244/10000 [00:01<00:53, 182.98 it/sec, obj=[ 3.79029979 37.18113061]]
INFO - 13:07:38: 2%|▏ | 245/10000 [00:01<00:53, 183.45 it/sec, obj=[ 3.30389454 37.97316355]]
INFO - 13:07:38: 2%|▏ | 246/10000 [00:01<00:53, 183.92 it/sec, obj=[ 3.30317013 37.97439157]]
INFO - 13:07:38: 2%|▏ | 247/10000 [00:01<00:52, 184.38 it/sec, obj=[ 3.30317013 37.97439158]]
INFO - 13:07:38: 2%|▏ | 248/10000 [00:01<00:52, 184.84 it/sec, obj=[ 3.30317013 37.97439158]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.11856912747414766
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [3.97126421e-08 9.92816052e-09]
INFO - 13:07:38: wrapped_ineq1 = [-5.37023467]
INFO - 13:07:38: wrapped_ineq2 = [-50.07434472]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.6425701003209856 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.642569995505141 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1185691274741477 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.87755102 0.12244898]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.6425701003209856 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.642569995505141 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1185691274741477 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: 2%|▏ | 249/10000 [00:01<00:53, 182.74 it/sec, obj=[ 3.30317013 37.97439158]]
INFO - 13:07:38: 2%|▎ | 250/10000 [00:01<00:53, 183.19 it/sec, obj=[ 2.91959416 38.64769229]]
INFO - 13:07:38: 3%|▎ | 251/10000 [00:01<00:53, 183.66 it/sec, obj=[ 2.44277552 39.55905254]]
INFO - 13:07:38: 3%|▎ | 252/10000 [00:01<00:52, 184.11 it/sec, obj=[ 2.44197816 39.56065707]]
INFO - 13:07:38: 3%|▎ | 253/10000 [00:01<00:52, 184.55 it/sec, obj=[ 2.44197816 39.56065708]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 8
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.10449325829893727
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [6.50789662e-08 1.62697384e-08]
INFO - 13:07:38: wrapped_ineq1 = [-4.66718]
INFO - 13:07:38: wrapped_ineq2 = [-51.31786852]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.5524919144152846 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.5524918322781416 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1044932582989373 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.89795918 0.10204082]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.5524919144152846 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.5524918322781416 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.1044932582989373 | inf | float |
INFO - 13:07:38: +------+-------------+--------------------+-------------+-------+
INFO - 13:07:38: 3%|▎ | 254/10000 [00:01<00:53, 182.57 it/sec, obj=[ 2.44197816 39.56065708]]
INFO - 13:07:38: 3%|▎ | 255/10000 [00:01<00:53, 183.02 it/sec, obj=[ 2.15820259 40.1515706 ]]
INFO - 13:07:38: 3%|▎ | 256/10000 [00:01<00:53, 183.48 it/sec, obj=[ 1.70734322 41.18740071]]
INFO - 13:07:38: 3%|▎ | 257/10000 [00:01<00:52, 183.92 it/sec, obj=[ 1.70651014 41.18944685]]
ERROR - 13:07:38: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
nlopt_problem.optimize(x_0.real)
File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 6
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.08949294839143944
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [1.01646732e-07 2.54116737e-08]
INFO - 13:07:38: wrapped_ineq1 = [-3.94341786]
INFO - 13:07:38: wrapped_ineq2 = [-52.58542774]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.4618590659845447 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.4618590026974367 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.08949294839143944 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.91836735 0.08163265]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.4618590659845447 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.4618590026974367 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.08949294839143944 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: 3%|▎ | 258/10000 [00:01<00:53, 181.66 it/sec, obj=[ 1.70651014 41.18944686]]
INFO - 13:07:38: 3%|▎ | 259/10000 [00:01<00:53, 182.10 it/sec, obj=[ 1.5080792 41.69347445]]
INFO - 13:07:38: 3%|▎ | 260/10000 [00:01<00:53, 182.56 it/sec, obj=[ 1.09993702 42.85899808]]
INFO - 13:07:38: 3%|▎ | 261/10000 [00:01<00:53, 182.98 it/sec, obj=[ 1.09911755 42.86155625]]
INFO - 13:07:38: 3%|▎ | 262/10000 [00:01<00:53, 183.42 it/sec, obj=[ 1.09911754 42.86155626]]
INFO - 13:07:38: 3%|▎ | 263/10000 [00:01<00:52, 183.86 it/sec, obj=[ 1.09911754 42.86155626]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.07355090752908491
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [1.52688260e-07 3.81720415e-08]
INFO - 13:07:38: wrapped_ineq1 = [-3.19856096]
INFO - 13:07:38: wrapped_ineq2 = [-53.87747195]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.3706611806565783 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.3706611328681297 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.07355090752908491 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.93877551 0.06122449]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.3706611806565783 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.3706611328681297 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.07355090752908491 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: 3%|▎ | 264/10000 [00:01<00:53, 181.97 it/sec, obj=[ 1.09911754 42.86155626]]
INFO - 13:07:38: 3%|▎ | 265/10000 [00:01<00:53, 182.37 it/sec, obj=[ 0.97124847 43.27413768]]
INFO - 13:07:38: 3%|▎ | 266/10000 [00:01<00:53, 182.81 it/sec, obj=[ 0.74056036 44.10007492]]
INFO - 13:07:38: 3%|▎ | 267/10000 [00:01<00:53, 183.25 it/sec, obj=[ 0.62232528 44.57738593]]
INFO - 13:07:38: 3%|▎ | 268/10000 [00:01<00:52, 183.63 it/sec, obj=[ 0.62222607 44.57780576]]
INFO - 13:07:38: 3%|▎ | 269/10000 [00:01<00:52, 184.06 it/sec, obj=[ 0.62222607 44.57780576]]
INFO - 13:07:38: 3%|▎ | 270/10000 [00:01<00:52, 184.48 it/sec, obj=[ 0.62222607 44.57780576]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 10
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.05664929812588902
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [3.95382482e-09 9.88454651e-10]
INFO - 13:07:38: wrapped_ineq1 = [-2.43220975]
INFO - 13:07:38: wrapped_ineq2 = [-55.19446492]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.2788875540747672 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.2788875220436548 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.05664929812588902 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.95918367 0.04081633]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.2788875540747672 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.2788875220436548 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.05664929812588902 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: 3%|▎ | 271/10000 [00:01<00:53, 182.45 it/sec, obj=[ 0.62222607 44.57780576]]
INFO - 13:07:38: 3%|▎ | 272/10000 [00:01<00:53, 182.86 it/sec, obj=[ 0.54980864 44.89432025]]
INFO - 13:07:38: 3%|▎ | 273/10000 [00:01<00:53, 183.28 it/sec, obj=[ 0.44281765 45.40529451]]
INFO - 13:07:38: 3%|▎ | 274/10000 [00:01<00:52, 183.71 it/sec, obj=[ 0.27858521 46.33745386]]
INFO - 13:07:38: 3%|▎ | 275/10000 [00:01<00:52, 184.07 it/sec, obj=[ 0.27833898 46.33904202]]
INFO - 13:07:38: 3%|▎ | 276/10000 [00:01<00:52, 184.48 it/sec, obj=[ 0.27833898 46.33904203]]
INFO - 13:07:38: 3%|▎ | 277/10000 [00:01<00:52, 184.90 it/sec, obj=[ 0.27833898 46.33904203]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 10
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.038769716781677045
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [5.44311050e-08 1.36077807e-08]
INFO - 13:07:38: wrapped_ineq1 = [-1.64395196]
INFO - 13:07:38: wrapped_ineq2 = [-56.53688517]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.1865271458408471 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.1865271265420713 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.03876971678167705 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: Solving mNBI sub-problem for beta = [0.97959184 0.02040816]
INFO - 13:07:38: Optimization problem:
INFO - 13:07:38: minimize -t_extraction
INFO - 13:07:38: with respect to t, x, y
INFO - 13:07:38: subject to constraints:
INFO - 13:07:38: wrapped_ineq1 <= 0.0
INFO - 13:07:38: wrapped_ineq2 <= 0.0
INFO - 13:07:38: beta_sub_optim_constraint <= 0.0
INFO - 13:07:38: over the design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.1865271458408471 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.1865271265420713 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.03876971678167705 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: 3%|▎ | 278/10000 [00:01<00:53, 182.92 it/sec, obj=[ 0.27833898 46.33904203]]
INFO - 13:07:38: 3%|▎ | 279/10000 [00:01<00:53, 183.33 it/sec, obj=[ 0.24593532 46.55480934]]
INFO - 13:07:38: 3%|▎ | 280/10000 [00:01<00:52, 183.75 it/sec, obj=[ 0.20794898 46.82747967]]
INFO - 13:07:38: 3%|▎ | 281/10000 [00:01<00:52, 184.17 it/sec, obj=[ 0.07420143 48.09239571]]
INFO - 13:07:38: 3%|▎ | 282/10000 [00:01<00:52, 184.57 it/sec, obj=[ 0.07004098 48.14613402]]
INFO - 13:07:38: 3%|▎ | 283/10000 [00:01<00:52, 184.98 it/sec, obj=[ 0.07004059 48.14613918]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 9
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: -0.019893597336510367
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: beta_sub_optim_constraint = [6.00135128e-05 1.50033782e-05]
INFO - 13:07:38: wrapped_ineq1 = [-0.83336423]
INFO - 13:07:38: wrapped_ineq2 = [-57.90522287]
INFO - 13:07:38: Design space:
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: | x | 0 | 0.09356881602078253 | 5 | float |
INFO - 13:07:38: | y | 0 | 0.0935688069054857 | 3 | float |
INFO - 13:07:38: | t | -inf | 0.01989359733651037 | inf | float |
INFO - 13:07:38: +------+-------------+---------------------+-------------+-------+
INFO - 13:07:38: 3%|▎ | 284/10000 [00:01<00:54, 178.44 it/sec, obj=[ 0.07004059 48.14613918]]
INFO - 13:07:38: Optimization result:
INFO - 13:07:38: Optimizer info:
INFO - 13:07:38: Status: None
INFO - 13:07:38: Message: None
INFO - 13:07:38: Number of calls to the objective function by the optimizer: 431
INFO - 13:07:38: Solution:
INFO - 13:07:38: The solution is feasible.
INFO - 13:07:38: Objective: 30.28780069872395
INFO - 13:07:38: Standardized constraints:
INFO - 13:07:38: ineq1 = [-10.82436312]
INFO - 13:07:38: ineq2 = [-39.89635695]
INFO - 13:07:38: Pareto efficient solutions:
INFO - 13:07:38: Pareto optimal points : 205 / 284
INFO - 13:07:38: Utopia point : [2.57749631e-28 4.00000000e+00]
INFO - 13:07:38: Compromise solution (closest to utopia) : [[14.47758697 26.71439073]]
INFO - 13:07:38: Distance from utopia : 26.93592528074487
INFO - 13:07:38: Objective values:
INFO - 13:07:38: +------+------------+-----+---------+
INFO - 13:07:38: | name | 1 | 2 | 3 |
INFO - 13:07:38: +------+------------+-----+---------+
INFO - 13:07:38: | 1 | 2.5775e-28 | 136 | 14.4776 |
INFO - 13:07:38: | 2 | 50 | 4 | 26.7144 |
INFO - 13:07:38: +------+------------+-----+---------+
INFO - 13:07:38: Constraint values:
INFO - 13:07:38: +------+-------------+------+----------+
INFO - 13:07:38: | name | 1 | 2 | 3 |
INFO - 13:07:38: +------+-------------+------+----------+
INFO - 13:07:38: | 1 | 7.10543e-15 | -22 | -10.2976 |
INFO - 13:07:38: | 2 | -59.3 | -7.3 | -40.9309 |
INFO - 13:07:38: +------+-------------+------+----------+
INFO - 13:07:38: Design space:
INFO - 13:07:38: +-------+-------------+-------------+---+---------+-------------+-------+
INFO - 13:07:38: | name | lower_bound | 1 | 2 | 3 | upper_bound | type |
INFO - 13:07:38: +-------+-------------+-------------+---+---------+-------------+-------+
INFO - 13:07:38: | x (1) | 0 | 0 | 5 | 1.34525 | 5 | float |
INFO - 13:07:38: | y (1) | 0 | 8.02729e-15 | 3 | 1.34525 | 3 | float |
INFO - 13:07:38: +-------+-------------+-------------+---+---------+-------------+-------+
Display the Pareto front¶
GEMSEO detects the Pareto optimal points and the dominated ones.
execute_post(problem, "ParetoFront", save=False, show=True)
<gemseo.post.pareto_front.ParetoFront object at 0x7f6b78675310>
Total running time of the script: (0 minutes 1.888 seconds)