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 import configure_logger
from gemseo import create_design_space
from gemseo import create_discipline
from gemseo import create_scenario
from gemseo.disciplines.scenario_adapters.mdo_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.variable_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 - 16:26:55:
INFO - 16:26:55: *** Start DOEScenario execution ***
INFO - 16:26:55: DOEScenario
INFO - 16:26:55: Disciplines: MDOScenario_adapter
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm fullfact:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 126.89 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 164.74 it/sec, obj=-.267]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 218.19 it/sec, obj=-.809]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 259.15 it/sec, obj=-.868]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 291.87 it/sec, obj=-.872]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 301.70 it/sec, obj=-.265]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 308.45 it/sec, obj=0.136]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 313.40 it/sec, obj=0.579]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 330.45 it/sec, obj=0.289]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 333.42 it/sec, obj=1.25]
INFO - 16:26:55:
WARNING - 16:26:55: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 12
INFO - 16:26:55: Solution:
WARNING - 16:26:55: The solution is not feasible.
INFO - 16:26:55: Objective: 0.2888129873625884
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = 0.1513713660745195
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.042502) ***
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 20.22 it/sec, obj=0.289]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 967.10 it/sec, obj=0.579]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 424.59 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 407.50 it/sec, obj=-.267]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 441.02 it/sec, obj=-.809]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 462.88 it/sec, obj=-.868]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 480.22 it/sec, obj=-.874]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 458.47 it/sec, obj=-.266]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 444.40 it/sec, obj=0.135]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 433.18 it/sec, obj=0.577]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 444.75 it/sec, obj=0.288]
INFO - 16:26:55:
WARNING - 16:26:55: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 12
INFO - 16:26:55: Solution:
WARNING - 16:26:55: The solution is not feasible.
INFO - 16:26:55: Objective: 0.28811314244670916
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = 0.15144075010172386
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.035542) ***
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 23.09 it/sec, obj=0.288]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 906.68 it/sec, obj=1.25]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 410.56 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 449.45 it/sec, obj=1.01]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 422.12 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 434.90 it/sec, obj=0.819]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 419.41 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 438.01 it/sec, obj=0.693]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 418.59 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 432.67 it/sec, obj=0.584]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 424.05 it/sec, obj=-.875]
INFO - 16:26:55:
WARNING - 16:26:55: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 12
INFO - 16:26:55: Solution:
WARNING - 16:26:55: The solution is not feasible.
INFO - 16:26:55: Objective: 0.5837798748832244
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = 0.19806414473664136
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.036083) ***
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 23.98 it/sec, obj=0.584]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 973.38 it/sec, obj=1.38]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 415.98 it/sec, obj=2.88]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 472.31 it/sec, obj=1.23]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 437.70 it/sec, obj=2.87]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 461.36 it/sec, obj=0.848]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 437.02 it/sec, obj=0.658]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 412.76 it/sec, obj=0.643]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 397.73 it/sec, obj=0.616]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 382.10 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 374.48 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 13
INFO - 16:26:55: Solution:
INFO - 16:26:55: The solution is feasible.
INFO - 16:26:55: Objective: 0.6150998219543254
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = -0.788285881879476
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.039964) ***
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 24.01 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 970.45 it/sec, obj=1.16]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 428.54 it/sec, obj=2.87]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 478.97 it/sec, obj=0.785]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 425.08 it/sec, obj=2.88]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 433.70 it/sec, obj=0.644]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 407.86 it/sec, obj=0.624]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 391.04 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 380.33 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 369.32 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 363.31 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 12
INFO - 16:26:55: Solution:
INFO - 16:26:55: The solution is feasible.
INFO - 16:26:55: Objective: 0.6150998205402495
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = -0.7883188793606977
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.040621) ***
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 23.96 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 756.55 it/sec, obj=0.838]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 405.80 it/sec, obj=2.88]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 461.59 it/sec, obj=0.656]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 411.55 it/sec, obj=0.639]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 386.96 it/sec, obj=0.616]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 373.83 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 364.42 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 358.69 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 353.69 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 10
INFO - 16:26:55: Solution:
INFO - 16:26:55: The solution is feasible.
INFO - 16:26:55: Objective: 0.6150998205402508
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = -0.7883189092934597
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.037028) ***
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 24.19 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 958.70 it/sec, obj=0.625]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 436.52 it/sec, obj=2.87]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 488.49 it/sec, obj=0.616]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 429.99 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 400.17 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 384.33 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 373.45 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 8
INFO - 16:26:55: Solution:
INFO - 16:26:55: The solution is feasible.
INFO - 16:26:55: Objective: 0.6150998205402526
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = -0.7883188285028959
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.030141) ***
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 24.96 it/sec, obj=0.615]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 956.73 it/sec, obj=0.745]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 439.61 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 407.08 it/sec, obj=-.267]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 421.97 it/sec, obj=-.809]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 448.05 it/sec, obj=-.868]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 465.12 it/sec, obj=-.874]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 447.71 it/sec, obj=-.266]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 434.50 it/sec, obj=0.135]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 424.95 it/sec, obj=0.577]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 437.57 it/sec, obj=0.288]
INFO - 16:26:55:
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 12
INFO - 16:26:55: Solution:
INFO - 16:26:55: The solution is feasible.
INFO - 16:26:55: Objective: 0.7453703703703706
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = -0.2499785665294918
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.035281) ***
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 25.15 it/sec, obj=0.745]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+-------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+-------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 16:26:55: +------+-------------+-------------------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 976.10 it/sec, obj=1.42]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 412.56 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 398.46 it/sec, obj=-.267]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 435.18 it/sec, obj=-.809]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 458.64 it/sec, obj=-.868]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 476.67 it/sec, obj=-.874]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 447.86 it/sec, obj=-.266]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 434.82 it/sec, obj=0.135]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 426.09 it/sec, obj=0.577]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 438.36 it/sec, obj=0.288]
INFO - 16:26:55:
WARNING - 16:26:55: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 12
INFO - 16:26:55: Solution:
WARNING - 16:26:55: The solution is not feasible.
INFO - 16:26:55: Objective: 0.28811314244698893
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = 0.1514407501016959
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.035668) ***
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 25.33 it/sec, obj=0.288]
INFO - 16:26:55:
INFO - 16:26:55: *** Start MDOScenario execution ***
INFO - 16:26:55: MDOScenario
INFO - 16:26:55: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 16:26:55: MDO formulation: DisciplinaryOpt
INFO - 16:26:55: Optimization problem:
INFO - 16:26:55: minimize obj(x)
INFO - 16:26:55: with respect to x
INFO - 16:26:55: subject to constraints:
INFO - 16:26:55: cstr(x) <= 0.0
INFO - 16:26:55: over the design space:
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 16:26:55: +------+-------------+-------+-------------+-------+
INFO - 16:26:55: Solving optimization problem with algorithm SLSQP:
INFO - 16:26:55: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 16:26:55:
INFO - 16:26:55: ... 10%|█ | 1/10 [00:00<00:00, 925.69 it/sec, obj=2.88]
INFO - 16:26:55:
INFO - 16:26:55: ... 20%|██ | 2/10 [00:00<00:00, 427.27 it/sec, obj=-.875]
INFO - 16:26:55:
INFO - 16:26:55: ... 30%|███ | 3/10 [00:00<00:00, 409.45 it/sec, obj=-.267]
INFO - 16:26:55:
INFO - 16:26:55: ... 40%|████ | 4/10 [00:00<00:00, 442.13 it/sec, obj=-.809]
INFO - 16:26:55:
INFO - 16:26:55: ... 50%|█████ | 5/10 [00:00<00:00, 465.91 it/sec, obj=-.868]
INFO - 16:26:55:
INFO - 16:26:55: ... 60%|██████ | 6/10 [00:00<00:00, 482.20 it/sec, obj=-.874]
INFO - 16:26:55:
INFO - 16:26:55: ... 70%|███████ | 7/10 [00:00<00:00, 460.99 it/sec, obj=-.266]
INFO - 16:26:55:
INFO - 16:26:55: ... 80%|████████ | 8/10 [00:00<00:00, 445.91 it/sec, obj=0.135]
INFO - 16:26:55:
INFO - 16:26:55: ... 90%|█████████ | 9/10 [00:00<00:00, 435.17 it/sec, obj=0.577]
INFO - 16:26:55:
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 446.15 it/sec, obj=0.288]
INFO - 16:26:55:
WARNING - 16:26:55: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 16:26:55:
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 12
INFO - 16:26:55: Solution:
WARNING - 16:26:55: The solution is not feasible.
INFO - 16:26:55: Objective: 0.28811314244587316
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = 0.15144075010180735
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 16:26:55: +------+-------------+--------------------+-------------+-------+
INFO - 16:26:55: *** End MDOScenario execution (time: 0:00:00.035938) ***
INFO - 16:26:55: ... 100%|██████████| 10/10 [00:00<00:00, 25.46 it/sec, obj=0.288]
INFO - 16:26:55: Optimization result:
INFO - 16:26:55: Optimizer info:
INFO - 16:26:55: Status: None
INFO - 16:26:55: Message: None
INFO - 16:26:55: Number of calls to the objective function by the optimizer: 10
INFO - 16:26:55: Solution:
INFO - 16:26:55: The solution is feasible.
INFO - 16:26:55: Objective: 0.6150998205402495
INFO - 16:26:55: Standardized constraints:
INFO - 16:26:55: cstr = -0.7883188793606977
INFO - 16:26:55: Design space:
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: | name | lower_bound | value | upper_bound | type |
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 16:26:55: +------+-------------+---------------------+-------------+-------+
INFO - 16:26:55: *** End DOEScenario execution (time: 0:00:00.405223) ***
{'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)
/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.0.0/lib/python3.9/site-packages/genson/schema/strategies/base.py:42: UserWarning: Schema incompatible. Keyword 'description' has conflicting values ('The width and height of the figure in inches, e.g. ``(w, h)``.\nIf ``None``, use the :attr:`.OptPostProcessor.DEFAULT_FIG_SIZE`\nof the post-processor.' vs. 'The width and height of the figure in inches, e.g. `(w, h)`.\nIf ``None``, use the :attr:`.OptPostProcessor.DEFAULT_FIG_SIZE`\nof the post-processor.'). Using 'The width and height of the figure in inches, e.g. ``(w, h)``.\nIf ``None``, use the :attr:`.OptPostProcessor.DEFAULT_FIG_SIZE`\nof the post-processor.'
warn(('Schema incompatible. Keyword {0!r} has conflicting '
<gemseo.post.basic_history.BasicHistory object at 0x7fea40dc9a00>
Total running time of the script: ( 0 minutes 0.626 seconds)