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 - 07:03:29:
INFO - 07:03:29: *** Start DOEScenario execution ***
INFO - 07:03:29: DOEScenario
INFO - 07:03:29: Disciplines: MDOScenario_adapter
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm fullfact:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 133.34 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 162.63 it/sec, obj=-.267]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 214.55 it/sec, obj=-.809]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 253.39 it/sec, obj=-.868]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 284.95 it/sec, obj=-.872]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 292.87 it/sec, obj=-.265]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 299.29 it/sec, obj=0.136]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 304.82 it/sec, obj=0.579]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 321.26 it/sec, obj=0.289]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 323.85 it/sec, obj=1.25]
INFO - 07:03:29:
WARNING - 07:03:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 12
INFO - 07:03:29: Solution:
WARNING - 07:03:29: The solution is not feasible.
INFO - 07:03:29: Objective: 0.2888129873625884
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = 0.1513713660745195
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.042930) ***
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 20.11 it/sec, obj=0.289]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 847.85 it/sec, obj=0.579]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 397.73 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 385.39 it/sec, obj=-.267]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 417.91 it/sec, obj=-.809]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 441.93 it/sec, obj=-.868]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 458.39 it/sec, obj=-.874]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 439.06 it/sec, obj=-.266]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 423.87 it/sec, obj=0.135]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 413.98 it/sec, obj=0.577]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 425.33 it/sec, obj=0.288]
INFO - 07:03:29:
WARNING - 07:03:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 12
INFO - 07:03:29: Solution:
WARNING - 07:03:29: The solution is not feasible.
INFO - 07:03:29: Objective: 0.28811314244670916
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = 0.15144075010172386
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.036000) ***
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 22.89 it/sec, obj=0.288]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 807.06 it/sec, obj=1.25]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 385.74 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 436.26 it/sec, obj=1.01]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 407.71 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 429.88 it/sec, obj=0.819]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 411.09 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 427.16 it/sec, obj=0.693]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 413.23 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 425.24 it/sec, obj=0.584]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 402.21 it/sec, obj=-.875]
INFO - 07:03:29:
WARNING - 07:03:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 12
INFO - 07:03:29: Solution:
WARNING - 07:03:29: The solution is not feasible.
INFO - 07:03:29: Objective: 0.5837798748832244
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = 0.19806414473664136
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.036534) ***
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 23.74 it/sec, obj=0.584]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 833.03 it/sec, obj=1.38]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 366.78 it/sec, obj=2.88]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 418.70 it/sec, obj=1.23]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 393.91 it/sec, obj=2.87]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 402.14 it/sec, obj=0.848]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 378.05 it/sec, obj=0.658]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 363.25 it/sec, obj=0.643]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 353.68 it/sec, obj=0.616]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 347.15 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 342.22 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 13
INFO - 07:03:29: Solution:
INFO - 07:03:29: The solution is feasible.
INFO - 07:03:29: Objective: 0.6150998219543254
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = -0.788285881879476
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.041931) ***
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 23.55 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 813.32 it/sec, obj=1.16]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 391.92 it/sec, obj=2.87]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 441.99 it/sec, obj=0.785]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 394.64 it/sec, obj=2.88]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 404.91 it/sec, obj=0.644]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 383.90 it/sec, obj=0.624]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 361.75 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 352.14 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 342.51 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 337.61 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 12
INFO - 07:03:29: Solution:
INFO - 07:03:29: The solution is feasible.
INFO - 07:03:29: Objective: 0.6150998205402495
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = -0.7883188793606977
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.042229) ***
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 23.40 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 808.77 it/sec, obj=0.838]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 388.11 it/sec, obj=2.88]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 439.81 it/sec, obj=0.656]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 389.12 it/sec, obj=0.639]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 365.89 it/sec, obj=0.616]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 354.50 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 345.58 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 339.78 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 335.88 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 10
INFO - 07:03:29: Solution:
INFO - 07:03:29: The solution is feasible.
INFO - 07:03:29: Objective: 0.6150998205402508
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = -0.7883189092934597
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.037593) ***
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 23.65 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 901.23 it/sec, obj=0.625]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 408.05 it/sec, obj=2.87]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 459.26 it/sec, obj=0.616]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 393.41 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 370.28 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 357.71 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 349.01 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 8
INFO - 07:03:29: Solution:
INFO - 07:03:29: The solution is feasible.
INFO - 07:03:29: Objective: 0.6150998205402526
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = -0.7883188285028959
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.031357) ***
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 24.36 it/sec, obj=0.615]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 825.81 it/sec, obj=0.745]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 391.83 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 366.95 it/sec, obj=-.267]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 382.67 it/sec, obj=-.809]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 406.35 it/sec, obj=-.868]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 425.10 it/sec, obj=-.874]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 408.50 it/sec, obj=-.266]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 396.67 it/sec, obj=0.135]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 388.03 it/sec, obj=0.577]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 399.51 it/sec, obj=0.288]
INFO - 07:03:29:
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 12
INFO - 07:03:29: Solution:
INFO - 07:03:29: The solution is feasible.
INFO - 07:03:29: Objective: 0.7453703703703706
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = -0.2499785665294918
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.037279) ***
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 24.46 it/sec, obj=0.745]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+-------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+-------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 07:03:29: +------+-------------+-------------------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 815.54 it/sec, obj=1.42]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 383.74 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 370.90 it/sec, obj=-.267]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 403.65 it/sec, obj=-.809]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 426.14 it/sec, obj=-.868]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 443.64 it/sec, obj=-.874]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 422.73 it/sec, obj=-.266]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 410.39 it/sec, obj=0.135]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 401.32 it/sec, obj=0.577]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 412.27 it/sec, obj=0.288]
INFO - 07:03:29:
WARNING - 07:03:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 12
INFO - 07:03:29: Solution:
WARNING - 07:03:29: The solution is not feasible.
INFO - 07:03:29: Objective: 0.28811314244698893
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = 0.1514407501016959
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.036977) ***
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 24.60 it/sec, obj=0.288]
INFO - 07:03:29:
INFO - 07:03:29: *** Start MDOScenario execution ***
INFO - 07:03:29: MDOScenario
INFO - 07:03:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 07:03:29: MDO formulation: DisciplinaryOpt
INFO - 07:03:29: Optimization problem:
INFO - 07:03:29: minimize obj(x)
INFO - 07:03:29: with respect to x
INFO - 07:03:29: subject to constraints:
INFO - 07:03:29: cstr(x) <= 0.0
INFO - 07:03:29: over the design space:
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 07:03:29: +------+-------------+-------+-------------+-------+
INFO - 07:03:29: Solving optimization problem with algorithm SLSQP:
INFO - 07:03:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 07:03:29:
INFO - 07:03:29: ... 10%|█ | 1/10 [00:00<00:00, 800.29 it/sec, obj=2.88]
INFO - 07:03:29:
INFO - 07:03:29: ... 20%|██ | 2/10 [00:00<00:00, 379.16 it/sec, obj=-.875]
INFO - 07:03:29:
INFO - 07:03:29: ... 30%|███ | 3/10 [00:00<00:00, 366.41 it/sec, obj=-.267]
INFO - 07:03:29:
INFO - 07:03:29: ... 40%|████ | 4/10 [00:00<00:00, 397.86 it/sec, obj=-.809]
INFO - 07:03:29:
INFO - 07:03:29: ... 50%|█████ | 5/10 [00:00<00:00, 420.36 it/sec, obj=-.868]
INFO - 07:03:29:
INFO - 07:03:29: ... 60%|██████ | 6/10 [00:00<00:00, 438.06 it/sec, obj=-.874]
INFO - 07:03:29:
INFO - 07:03:29: ... 70%|███████ | 7/10 [00:00<00:00, 419.62 it/sec, obj=-.266]
INFO - 07:03:29:
INFO - 07:03:29: ... 80%|████████ | 8/10 [00:00<00:00, 407.41 it/sec, obj=0.135]
INFO - 07:03:29:
INFO - 07:03:29: ... 90%|█████████ | 9/10 [00:00<00:00, 398.40 it/sec, obj=0.577]
INFO - 07:03:29:
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 409.52 it/sec, obj=0.288]
INFO - 07:03:29:
WARNING - 07:03:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 07:03:29:
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 12
INFO - 07:03:29: Solution:
WARNING - 07:03:29: The solution is not feasible.
INFO - 07:03:29: Objective: 0.28811314244587316
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = 0.15144075010180735
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 07:03:29: +------+-------------+--------------------+-------------+-------+
INFO - 07:03:29: *** End MDOScenario execution (time: 0:00:00.038346) ***
INFO - 07:03:29: ... 100%|██████████| 10/10 [00:00<00:00, 24.64 it/sec, obj=0.288]
INFO - 07:03:29: Optimization result:
INFO - 07:03:29: Optimizer info:
INFO - 07:03:29: Status: None
INFO - 07:03:29: Message: None
INFO - 07:03:29: Number of calls to the objective function by the optimizer: 10
INFO - 07:03:29: Solution:
INFO - 07:03:29: The solution is feasible.
INFO - 07:03:29: Objective: 0.6150998205402495
INFO - 07:03:29: Standardized constraints:
INFO - 07:03:29: cstr = -0.7883188793606977
INFO - 07:03:29: Design space:
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: | name | lower_bound | value | upper_bound | type |
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 07:03:29: +------+-------------+---------------------+-------------+-------+
INFO - 07:03:29: *** End DOEScenario execution (time: 0:00:00.417553) ***
{'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/stable/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 0x7f848b0f3b20>
Total running time of the script: ( 0 minutes 0.636 seconds)