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)
History plot
/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)

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