Note
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Multistart optimization¶
Runs simple optimization problem with multiple starting points
Nests a MDOScenario in a DOEScenario
using a MDOScenarioAdapter.
from __future__ import annotations
from gemseo.api import configure_logger
from gemseo.api import create_design_space
from gemseo.api import create_discipline
from gemseo.api import create_scenario
from gemseo.disciplines.scenario_adapter import MDOScenarioAdapter
configure_logger()
<RootLogger root (INFO)>
Create the disciplines¶
objective = create_discipline("AnalyticDiscipline", expressions={"obj": "x**3-x+1"})
constraint = create_discipline(
"AnalyticDiscipline", expressions={"cstr": "x**2+obj**2-1.5"}
)
Create the design space¶
design_space = create_design_space()
design_space.add_variable("x", l_b=-1.5, u_b=1.5, value=1.5)
Create the MDO scenario¶
scenario = create_scenario(
[objective, constraint],
formulation="DisciplinaryOpt",
objective_name="obj",
design_space=design_space,
)
scenario.default_inputs = {"algo": "SLSQP", "max_iter": 10}
scenario.add_constraint("cstr", "ineq")
Create the scenario adapter¶
dv_names = scenario.formulation.opt_problem.design_space.variables_names
adapter = MDOScenarioAdapter(
scenario, dv_names, ["obj", "cstr"], set_x0_before_opt=True
)
Create the DOE scenario¶
scenario_doe = create_scenario(
adapter,
formulation="DisciplinaryOpt",
objective_name="obj",
design_space=design_space,
scenario_type="DOE",
)
scenario_doe.add_constraint("cstr", "ineq")
run_inputs = {"n_samples": 10, "algo": "fullfact"}
scenario_doe.execute(run_inputs)
INFO - 13:28:56:
INFO - 13:28:56: *** Start DOEScenario execution ***
INFO - 13:28:56: DOEScenario
INFO - 13:28:56: Disciplines: MDOScenario_adapter
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm fullfact:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 146.64 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 184.20 it/sec, obj=-.267]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 240.01 it/sec, obj=-.809]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 281.44 it/sec, obj=-.868]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 315.10 it/sec, obj=-.872]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 322.60 it/sec, obj=-.265]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 328.72 it/sec, obj=0.136]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 333.77 it/sec, obj=0.579]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 350.81 it/sec, obj=0.289]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 353.13 it/sec, obj=1.25]
INFO - 13:28:56:
WARNING - 13:28:56: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 12
INFO - 13:28:56: Solution:
WARNING - 13:28:56: The solution is not feasible.
INFO - 13:28:56: Objective: 0.2888129873625884
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = 0.1513713660745195
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.039127) ***
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 22.21 it/sec, obj=0.289]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 1009.95 it/sec, obj=0.579]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 441.48 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 424.01 it/sec, obj=-.267]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 456.63 it/sec, obj=-.809]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 479.62 it/sec, obj=-.868]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 495.91 it/sec, obj=-.874]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 473.70 it/sec, obj=-.266]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 457.43 it/sec, obj=0.135]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 442.64 it/sec, obj=0.577]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 454.37 it/sec, obj=0.288]
INFO - 13:28:56:
WARNING - 13:28:56: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 12
INFO - 13:28:56: Solution:
WARNING - 13:28:56: The solution is not feasible.
INFO - 13:28:56: Objective: 0.28811314244670916
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = 0.15144075010172386
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.027457) ***
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 27.06 it/sec, obj=0.288]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 990.62 it/sec, obj=1.25]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 438.62 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 492.89 it/sec, obj=1.01]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 452.24 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 475.90 it/sec, obj=0.819]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 454.71 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 471.48 it/sec, obj=0.693]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 455.55 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 467.85 it/sec, obj=0.584]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 456.83 it/sec, obj=-.875]
INFO - 13:28:56:
WARNING - 13:28:56: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 12
INFO - 13:28:56: Solution:
WARNING - 13:28:56: The solution is not feasible.
INFO - 13:28:56: Objective: 0.5837798748832244
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = 0.19806414473664136
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.026320) ***
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 29.31 it/sec, obj=0.584]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 993.68 it/sec, obj=1.38]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 459.65 it/sec, obj=2.88]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 510.48 it/sec, obj=1.23]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 465.54 it/sec, obj=2.87]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 488.22 it/sec, obj=0.848]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 456.71 it/sec, obj=0.658]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 431.66 it/sec, obj=0.643]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 416.17 it/sec, obj=0.616]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 405.34 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 396.67 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 13
INFO - 13:28:56: Solution:
INFO - 13:28:56: The solution is feasible.
INFO - 13:28:56: Objective: 0.6150998219543254
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = -0.788285881879476
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.030694) ***
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 29.77 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 1007.28 it/sec, obj=1.16]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 441.76 it/sec, obj=2.87]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 495.18 it/sec, obj=0.785]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 440.01 it/sec, obj=2.88]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 448.13 it/sec, obj=0.644]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 423.85 it/sec, obj=0.624]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 406.18 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 395.28 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 386.58 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 380.56 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 12
INFO - 13:28:56: Solution:
INFO - 13:28:56: The solution is feasible.
INFO - 13:28:56: Objective: 0.6150998205402495
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = -0.7883188793606977
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.031760) ***
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 29.87 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 1020.76 it/sec, obj=0.838]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 460.63 it/sec, obj=2.88]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 508.87 it/sec, obj=0.656]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 436.53 it/sec, obj=0.639]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 408.41 it/sec, obj=0.616]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 393.03 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 382.88 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 376.29 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 363.24 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 10
INFO - 13:28:56: Solution:
INFO - 13:28:56: The solution is feasible.
INFO - 13:28:56: Objective: 0.6150998205402508
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = -0.7883189092934597
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.028590) ***
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 30.28 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 997.46 it/sec, obj=0.625]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 422.60 it/sec, obj=2.87]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 478.87 it/sec, obj=0.616]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 419.28 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 396.18 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 383.39 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 375.66 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 8
INFO - 13:28:56: Solution:
INFO - 13:28:56: The solution is feasible.
INFO - 13:28:56: Objective: 0.6150998205402526
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = -0.7883188285028959
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.022407) ***
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 31.44 it/sec, obj=0.615]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 996.75 it/sec, obj=0.745]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 458.49 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 432.89 it/sec, obj=-.267]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 447.98 it/sec, obj=-.809]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 471.20 it/sec, obj=-.868]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 489.23 it/sec, obj=-.874]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 467.25 it/sec, obj=-.266]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 453.16 it/sec, obj=0.135]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 442.38 it/sec, obj=0.577]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 454.65 it/sec, obj=0.288]
INFO - 13:28:56:
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 12
INFO - 13:28:56: Solution:
INFO - 13:28:56: The solution is feasible.
INFO - 13:28:56: Objective: 0.7453703703703706
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = -0.2499785665294918
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.027153) ***
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 31.76 it/sec, obj=0.745]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+-------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+-------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 13:28:56: +------+-------------+-------------------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 1023.00 it/sec, obj=1.42]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 459.95 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 420.31 it/sec, obj=-.267]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 455.31 it/sec, obj=-.809]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 471.03 it/sec, obj=-.868]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 480.14 it/sec, obj=-.874]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 459.62 it/sec, obj=-.266]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 446.73 it/sec, obj=0.135]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 434.17 it/sec, obj=0.577]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 445.63 it/sec, obj=0.288]
INFO - 13:28:56:
WARNING - 13:28:56: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 12
INFO - 13:28:56: Solution:
WARNING - 13:28:56: The solution is not feasible.
INFO - 13:28:56: Objective: 0.28811314244698893
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = 0.1514407501016959
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.027876) ***
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 32.00 it/sec, obj=0.288]
INFO - 13:28:56:
INFO - 13:28:56: *** Start MDOScenario execution ***
INFO - 13:28:56: MDOScenario
INFO - 13:28:56: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:28:56: MDO formulation: DisciplinaryOpt
INFO - 13:28:56: Optimization problem:
INFO - 13:28:56: minimize obj(x)
INFO - 13:28:56: with respect to x
INFO - 13:28:56: subject to constraints:
INFO - 13:28:56: cstr(x) <= 0.0
INFO - 13:28:56: over the design space:
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 13:28:56: +------+-------------+-------+-------------+-------+
INFO - 13:28:56: Solving optimization problem with algorithm SLSQP:
INFO - 13:28:56: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:28:56:
INFO - 13:28:56: ... 10%|█ | 1/10 [00:00<00:00, 1022.75 it/sec, obj=2.88]
INFO - 13:28:56:
INFO - 13:28:56: ... 20%|██ | 2/10 [00:00<00:00, 448.11 it/sec, obj=-.875]
INFO - 13:28:56:
INFO - 13:28:56: ... 30%|███ | 3/10 [00:00<00:00, 428.84 it/sec, obj=-.267]
INFO - 13:28:56:
INFO - 13:28:56: ... 40%|████ | 4/10 [00:00<00:00, 458.19 it/sec, obj=-.809]
INFO - 13:28:56:
INFO - 13:28:56: ... 50%|█████ | 5/10 [00:00<00:00, 464.07 it/sec, obj=-.868]
INFO - 13:28:56:
INFO - 13:28:56: ... 60%|██████ | 6/10 [00:00<00:00, 468.86 it/sec, obj=-.874]
INFO - 13:28:56:
INFO - 13:28:56: ... 70%|███████ | 7/10 [00:00<00:00, 452.35 it/sec, obj=-.266]
INFO - 13:28:56:
INFO - 13:28:56: ... 80%|████████ | 8/10 [00:00<00:00, 440.31 it/sec, obj=0.135]
INFO - 13:28:56:
INFO - 13:28:56: ... 90%|█████████ | 9/10 [00:00<00:00, 430.81 it/sec, obj=0.577]
INFO - 13:28:56:
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 436.63 it/sec, obj=0.288]
INFO - 13:28:56:
WARNING - 13:28:56: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:28:56:
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 12
INFO - 13:28:56: Solution:
WARNING - 13:28:56: The solution is not feasible.
INFO - 13:28:56: Objective: 0.28811314244587316
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = 0.15144075010180735
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 13:28:56: +------+-------------+--------------------+-------------+-------+
INFO - 13:28:56: *** End MDOScenario execution (time: 0:00:00.028615) ***
INFO - 13:28:56: ... 100%|██████████| 10/10 [00:00<00:00, 32.14 it/sec, obj=0.288]
INFO - 13:28:56: Optimization result:
INFO - 13:28:56: Optimizer info:
INFO - 13:28:56: Status: None
INFO - 13:28:56: Message: None
INFO - 13:28:56: Number of calls to the objective function by the optimizer: 10
INFO - 13:28:56: Solution:
INFO - 13:28:56: The solution is feasible.
INFO - 13:28:56: Objective: 0.6150998205402495
INFO - 13:28:56: Standardized constraints:
INFO - 13:28:56: cstr = -0.7883188793606977
INFO - 13:28:56: Design space:
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: | name | lower_bound | value | upper_bound | type |
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 13:28:56: +------+-------------+---------------------+-------------+-------+
INFO - 13:28:56: *** End DOEScenario execution (time: 0:00:00.320491) ***
{'eval_jac': False, 'n_samples': 10, 'algo': 'fullfact'}
Plot the optimum objective for different x0¶
scenario_doe.post_process("BasicHistory", variable_names=["obj"], save=False, show=True)
<gemseo.post.basic_history.BasicHistory object at 0x7f676d74b9d0>
Total running time of the script: ( 0 minutes 0.516 seconds)