Pareto front on Binh and Korn problem using a BiLevel formulation

In this example, we illustrate the computation of a Pareto front plot for the Binh and Korn problem. We use a BiLevel formulation in order to only compute the Pareto-optimal points.

Import

The first step is to import some functions from the API, and to configure the logger.

from __future__ import annotations

from gemseo.api import configure_logger
from gemseo.api import create_design_space
from gemseo.api import create_discipline
from gemseo.api import create_scenario
from gemseo.disciplines.scenario_adapter import MDOScenarioAdapter
from numpy import array

configure_logger()
<RootLogger root (INFO)>

Definition of the disciplines

In this example, we create the Binh and Korn disciplines from scratch by declaring their expressions and using the AnalyticDiscipline.

expr_binh_korn = {
    "obj1": "4*x1**2 + 4*x2**2",
    "obj2": "(x1-5.)**2 + (x2-5.)**2",
    "cstr1": "(x1-5.)**2 + x2**2 - 25.",
    "cstr2": "-(x1-8.)**2 - (x2+3)**2 + 7.7",
}

This constraint will be used to set obj1 to a target value for the lower-level scenario.

expr_cstr_obj1_target = {"cstr3": "obj1 - obj1_target"}

Instantiation of the disciplines

Here, we create the disciplines from their expressions.

discipline_binh_korn = create_discipline(
    "AnalyticDiscipline", expressions=expr_binh_korn
)
discipline_cstr_obj1 = create_discipline(
    "AnalyticDiscipline", expressions=expr_cstr_obj1_target
)

Definition of the lower-level design space

design_space = create_design_space()
design_space.add_variable("x1", l_b=array([0.0]), u_b=array([5.0]), value=array([2.0]))
design_space.add_variable("x2", l_b=array([-5.0]), u_b=array([3.0]), value=array([2.0]))

disciplines = [
    discipline_binh_korn,
    discipline_cstr_obj1,
]

Creation of the lower-level scenario

This scenario aims at finding the obj2 optimal value for a specific value of obj1.

scenario = create_scenario(
    disciplines,
    "DisciplinaryOpt",
    design_space=design_space,
    objective_name="obj2",
)

scenario.default_inputs = {"algo": "NLOPT_SLSQP", "max_iter": 100}

We add the Binh and Korn problem constraints.

scenario.add_constraint("cstr1", "ineq")
scenario.add_constraint("cstr2", "ineq")

We add a constraint to force the value of obj1 to obj1_target.

scenario.add_constraint("cstr3", "eq")

Creation of an MDOScenarioAdapter

An MDOScenarioAdapter is created to use the lower-level scenario as a discipline. This newly created discipline takes as input a target obj_1, and returns obj1, obj2 and cstr3. The latter variable is used by the upper level scenario to check if obj1 = obj1_target at the end of the lower-lever scenario execution.

scenario_adapter = MDOScenarioAdapter(
    scenario, ["obj1_target"], ["obj1", "obj2", "cstr3"]
)
design_space_doe = create_design_space()
design_space_doe.add_variable(
    "obj1_target", l_b=array([0.1]), u_b=array([100.0]), value=array([1.0])
)

Creation of a DOEScenario

Create a DOE Scenario, which will take as input the scenario adapter. It will perform a DOE over the obj1_target variable. Note that obj2 shall be added as an observable of scenario_doe, otherwise it cannot be used by the ParetoFront post-processing.

scenario_doe = create_scenario(
    scenario_adapter,
    formulation="DisciplinaryOpt",
    objective_name="obj1",
    design_space=design_space_doe,
    scenario_type="DOE",
)
scenario_doe.add_constraint("cstr3", "eq")
scenario_doe.add_observable("obj2")

Run the scenario

Finally, we run a full-factorial DOE using 100 samples and we run the post-processing.

run_inputs = {"n_samples": 50, "algo": "fullfact"}
scenario_doe.execute(run_inputs)
scenario_doe.post_process(
    "ParetoFront", objectives=["obj1", "obj2"], save=False, show=True
)
Pareto front
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start DOEScenario execution ***
    INFO - 16:31:28: DOEScenario
    INFO - 16:31:28:    Disciplines: MDOScenario_adapter
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj1(obj1_target)
    INFO - 16:31:28:    with respect to obj1_target
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr3(obj1_target) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +-------------+-------------+-------+-------------+-------+
    INFO - 16:31:28:    | name        | lower_bound | value | upper_bound | type  |
    INFO - 16:31:28:    +-------------+-------------+-------+-------------+-------+
    INFO - 16:31:28:    | obj1_target |     0.1     |   1   |     100     | float |
    INFO - 16:31:28:    +-------------+-------------+-------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm fullfact:
    INFO - 16:31:28: ...   0%|          | 0/50 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound | value | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      |   2   |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     |   2   |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  22%|██▏       | 22/100 [00:00<00:00, 977.57 it/sec, obj=47.7]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  25%|██▌       | 25/100 [00:00<00:00, 850.82 it/sec, obj=47.7]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 32
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 47.703727654876516
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -1.0667466573428754
    INFO - 16:31:28:          cstr2 = -64.31467159436009
    INFO - 16:31:28:          cstr3 = 0.008327777064409236
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 0.1093828601608978 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 0.1229525687780608 |      3      | float |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.130329) ***
    INFO - 16:31:28: ...   2%|▏         | 1/50 [00:00<00:00, 363.37 it/sec, obj=0.108]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 0.1093828601608978 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 0.1229525687780608 |      3      | float |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  13%|█▎        | 13/100 [00:00<00:00, 1771.03 it/sec, obj=39.8]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 16
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 40.19103454891671
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -4.635553160505001
    INFO - 16:31:28:          cstr2 = -60.66617024950777
    INFO - 16:31:28:          cstr3 = 0.0011716100039924626
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 0.5170539940557017 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 0.5173412290578288 |      3      | float |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.060580) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 0.5170539940557017 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 0.5173412290578288 |      3      | float |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  11%|█         | 11/100 [00:00<00:00, 2363.51 it/sec, obj=35.9]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 12
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 36.59177704909952
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -6.181927091281441
    INFO - 16:31:28:          cstr2 = -59.1180600956955
    INFO - 16:31:28:          cstr3 = 9.47309592103096e-06
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 0.7226317214657462 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 0.7226295859619043 |      3      | float |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.046377) ***
    INFO - 16:31:28: ...   6%|▌         | 3/50 [00:00<00:00, 199.93 it/sec, obj=4.18]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 0.7226317214657462 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 0.7226295859619043 |      3      | float |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 2986.93 it/sec, obj=33.6]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 33.919631813422384
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -7.255848461968618
    INFO - 16:31:28:          cstr2 = -58.05233099585455
    INFO - 16:31:28:          cstr3 = 0.0038288011280993572
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 0.8810887294903702 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 0.882451972460899  |      3      | float |
    INFO - 16:31:28:       +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037543) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value        | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 0.8810887294903702 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 0.882451972460899  |      3      | float |
    INFO - 16:31:28:    +------+-------------+--------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   9%|▉         | 9/100 [00:00<00:00, 2568.83 it/sec, obj=33.9]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 31.74205545582052
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -8.126479874112459
    INFO - 16:31:28:          cstr2 = -57.137414252228
    INFO - 16:31:28:          cstr3 = 0.005542967398865173
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.019164112616626 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.013146467006703 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.043106) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.019164112616626 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.013146467006703 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  12%|█▏        | 12/100 [00:00<00:00, 1931.48 it/sec, obj=29.9]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 15
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 29.88109811954699
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -8.904130006507508
    INFO - 16:31:28:          cstr2 = -56.236931646326525
    INFO - 16:31:28:          cstr3 = 0.008278899838032316
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.147966911922212 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     |  1.12147718739455 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.056046) ***
    INFO - 16:31:28: ...  12%|█▏        | 6/50 [00:00<00:00, 126.63 it/sec, obj=10.3]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.147966911922212 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     |  1.12147718739455 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  12%|█▏        | 12/100 [00:00<00:00, 1946.26 it/sec, obj=28.2]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 14
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 28.24715432188683
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -9.262042373098518
    INFO - 16:31:28:          cstr2 = -56.1244562169954
    INFO - 16:31:28:          cstr3 = 0.005733399147294094
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.234663898819147 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.249080330501465 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.055434) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.234663898819147 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.249080330501465 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  11%|█         | 11/100 [00:00<00:00, 2120.69 it/sec, obj=26.8]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 13
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 26.78338139404545
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -9.960291855840104
    INFO - 16:31:28:          cstr2 = -55.16052551821478
    INFO - 16:31:28:          cstr3 = 0.007261845302840797
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.355496446002296 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.325632675011445 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.051486) ***
    INFO - 16:31:28: ...  16%|█▌        | 8/50 [00:00<00:00, 98.52 it/sec, obj=14.4]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.355496446002296 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.325632675011445 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  11%|█         | 11/100 [00:00<00:00, 2103.18 it/sec, obj=25.5]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 13
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 25.456747661016507
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -10.182735612985024
    INFO - 16:31:28:          cstr2 = -55.162076920524946
    INFO - 16:31:28:          cstr3 = 0.0021701470212498464
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      |  1.42858291701485 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.436051672599847 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.051631) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      |  1.42858291701485 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.436051672599847 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...  11%|█         | 11/100 [00:00<00:00, 2080.33 it/sec, obj=24.2]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 13
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 24.238961391299995
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -10.581988784945853
    INFO - 16:31:28:          cstr2 = -54.70852336416608
    INFO - 16:31:28:          cstr3 = 0.0025169026502354086
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      |  1.51948629085676 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.517904982375415 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.052197) ***
    INFO - 16:31:28: ...  20%|██        | 10/50 [00:00<00:00, 81.06 it/sec, obj=18.5]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      |  1.51948629085676 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.517904982375415 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   9%|▉         | 9/100 [00:00<00:00, 2648.04 it/sec, obj=24.2]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 23.11579694920823
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -10.870999209927898
    INFO - 16:31:28:          cstr2 = -54.4411348517972
    INFO - 16:31:28:          cstr3 = 0.00016967686911684154
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.599298040465538 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.601320384086387 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.041783) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.599298040465538 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.601320384086387 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 3005.55 it/sec, obj=23.1]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 8
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 22.070806133873354
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -11.152004241913563
    INFO - 16:31:28:          cstr2 = -54.144115710393905
    INFO - 16:31:28:          cstr3 = 7.790157006937193e-05
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.678365637036731 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.677718962421308 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037444) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.678365637036731 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.677718962421308 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 3024.56 it/sec, obj=22.1]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 8
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 21.094680946646342
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -11.382543763227893
    INFO - 16:31:28:          cstr2 = -53.916789711709825
    INFO - 16:31:28:          cstr3 = 6.34855576464588e-05
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.752388616522955 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.752277529012576 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037152) ***
    INFO - 16:31:28: ...  26%|██▌       | 13/50 [00:00<00:00, 67.45 it/sec, obj=24.6]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.752388616522955 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.752277529012576 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 3000.73 it/sec, obj=20.2]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 20.179041747322394
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -11.584857264428393
    INFO - 16:31:28:          cstr2 = -53.715271313888515
    INFO - 16:31:28:          cstr3 = 3.6073850846918276e-05
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.823588669105437 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.823610098824921 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037347) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.823588669105437 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.823610098824921 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 3023.21 it/sec, obj=19.3]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 19.31704274741805
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -11.761045500685725
    INFO - 16:31:28:          cstr2 = -53.53904269398964
    INFO - 16:31:28:          cstr3 = 1.9897482413711032e-05
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 1.892176476077061 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.892191175189622 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037105) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 1.892176476077061 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.892191175189622 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 3006.00 it/sec, obj=18.5]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 18.50304766834182
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -11.91320794150552
    INFO - 16:31:28:          cstr2 = -53.38686658612579
    INFO - 16:31:28:          cstr3 = 1.6290651892347796e-05
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      |  1.95836201774338 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 1.958374439015266 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037300) ***
    INFO - 16:31:28: ...  32%|███▏      | 16/50 [00:00<00:00, 58.07 it/sec, obj=30.7]
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      |  1.95836201774338 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 1.958374439015266 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 2996.27 it/sec, obj=17.7]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 17.732348004038087
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -12.043720783556537
    INFO - 16:31:28:          cstr2 = -53.256342241945774
    INFO - 16:31:28:          cstr3 = 1.3382114616433682e-05
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 2.022382616990152 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 2.022393121240538 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037398) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 2.022382616990152 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 2.022393121240538 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:28: ...   8%|▊         | 8/100 [00:00<00:00, 3002.95 it/sec, obj=17]
    INFO - 16:31:28: Optimization result:
    INFO - 16:31:28:    Optimizer info:
    INFO - 16:31:28:       Status: None
    INFO - 16:31:28:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:28:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:28:    Solution:
    INFO - 16:31:28:       The solution is feasible.
    INFO - 16:31:28:       Objective: 17.000954389919343
    INFO - 16:31:28:       Standardized constraints:
    INFO - 16:31:28:          cstr1 = -12.154578598016688
    INFO - 16:31:28:          cstr2 = -53.14547523083256
    INFO - 16:31:28:          cstr3 = 1.112372472533707e-05
    INFO - 16:31:28:       Design space:
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:       | x1   |      0      | 2.084437729731522 |      5      | float |
    INFO - 16:31:28:       | x2   |      -5     | 2.084446701206397 |      3      | float |
    INFO - 16:31:28:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: *** End MDOScenario execution (time: 0:00:00.037451) ***
    INFO - 16:31:28:
    INFO - 16:31:28: *** Start MDOScenario execution ***
    INFO - 16:31:28: MDOScenario
    INFO - 16:31:28:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:28:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:28: Optimization problem:
    INFO - 16:31:28:    minimize obj2(x1, x2)
    INFO - 16:31:28:    with respect to x1, x2
    INFO - 16:31:28:    subject to constraints:
    INFO - 16:31:28:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:28:       cstr3(x1, x2) == 0.0
    INFO - 16:31:28:    over the design space:
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28:    | x1   |      0      | 2.084437729731522 |      5      | float |
    INFO - 16:31:28:    | x2   |      -5     | 2.084446701206397 |      3      | float |
    INFO - 16:31:28:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:28: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:28: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:28:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3017.46 it/sec, obj=16.3]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 16.30545494358224
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.247487820159945
    INFO - 16:31:29:          cstr2 = -53.0525585506805
    INFO - 16:31:29:          cstr3 = 9.341781733951393e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.144697995152375 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.144705723625782 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037150) ***
    INFO - 16:31:29: ...  38%|███▊      | 19/50 [00:00<00:00, 50.97 it/sec, obj=36.8]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.144697995152375 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.144705723625782 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3001.40 it/sec, obj=15.6]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 15.642904546075751
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.323921352239278
    INFO - 16:31:29:          cstr2 = -52.976118905633655
    INFO - 16:31:29:          cstr3 = 7.918085636049454e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.203310700523008 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.203317410168497 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037310) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.203310700523008 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.203317410168497 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 2993.39 it/sec, obj=15]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 15.010740057807617
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.385161018109931
    INFO - 16:31:29:          cstr2 = -52.91487417972193
    INFO - 16:31:29:          cstr3 = 6.767595998269371e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.260404026102934 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.260409892408245 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037521) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.260404026102934 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.260409892408245 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3011.16 it/sec, obj=14.4]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 14.40671436156971
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.432330566830654
    INFO - 16:31:29:          cstr2 = -52.867700404654286
    INFO - 16:31:29:          cstr3 = 5.828223912374142e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.316090345245806 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.316095507159964 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037241) ***
    INFO - 16:31:29: ...  44%|████▍     | 22/50 [00:01<00:00, 45.41 it/sec, obj=42.9]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.316090345245806 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.316095507159964 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3002.99 it/sec, obj=13.8]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 13.828844363467137
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.46642168992727
    INFO - 16:31:29:          cstr2 = -52.83360572231145
    INFO - 16:31:29:          cstr3 = 5.053965359991253e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.370468825954106 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.370473394660559 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037299) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.370468825954106 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.370473394660559 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3014.32 it/sec, obj=13.3]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 13.27536950292725
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.48831477873483
    INFO - 16:31:29:          cstr2 = -52.811709613282154
    INFO - 16:31:29:          cstr3 = 4.4102718916860795e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.423627506497627 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.423631571833792 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037208) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.423627506497627 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.423631571833792 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3031.25 it/sec, obj=12.7]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 12.744718286984694
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.498795665972281
    INFO - 16:31:29:          cstr2 = -52.801226145304284
    INFO - 16:31:29:          cstr3 = 3.870874571987315e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.475644969491541 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.475648604704302 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037139) ***
    INFO - 16:31:29: ...  50%|█████     | 25/50 [00:01<00:00, 40.96 it/sec, obj=49]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.475644969491541 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.475648604704302 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3028.73 it/sec, obj=12.2]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 12.235481029876208
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.49856926217808
    INFO - 16:31:29:          cstr2 = -52.80145032968164
    INFO - 16:31:29:          cstr3 = 3.4155702692828527e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.526591705484616 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.526594970794571 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037228) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.526591705484616 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.526594970794571 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3026.28 it/sec, obj=11.7]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 11.746387447065569
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.488270763209497
    INFO - 16:31:29:          cstr2 = -52.81174690860545
    INFO - 16:31:29:          cstr3 = 3.0286559535852575e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.576531233670002 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.576534178972493 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037107) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.576531233670002 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.576534178972493 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3021.46 it/sec, obj=11.3]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 11.276288087191698
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.46847493757269
    INFO - 16:31:29:          cstr2 = -52.83154106402759
    INFO - 16:31:29:          cstr3 = 2.697806259277513e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.625521030590181 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.625523697523561 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037185) ***
    INFO - 16:31:29: ...  56%|█████▌    | 28/50 [00:01<00:00, 37.31 it/sec, obj=55.1]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.625521030590181 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.625523697523561 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3016.90 it/sec, obj=10.8]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 10.824138827797562
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.439703881005212
    INFO - 16:31:29:          cstr2 = -52.86031066026405
    INFO - 16:31:29:          cstr3 = 2.413258648914507e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.673613305574845 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.673615729119723 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037291) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.673613305574845 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.673615729119723 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 2943.29 it/sec, obj=10.4]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 10.388987838736117
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.402433536604322
    INFO - 16:31:29:          cstr2 = -52.89757972175886
    INFO - 16:31:29:          cstr3 = 2.1672147170193057e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.720855652738759 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.720857862465956 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.038047) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.720855652738759 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.720857862465956 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 2966.31 it/sec, obj=9.97]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 9.969964549551625
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.357099212520435
    INFO - 16:31:29:          cstr2 = -52.94291291379632
    INFO - 16:31:29:          cstr3 = 1.9533958521833483e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.767291602740001 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.767293623792794 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037762) ***
    INFO - 16:31:29: ...  62%|██████▏   | 31/50 [00:01<00:00, 34.21 it/sec, obj=61.3]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.767291602740001 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.767293623792794 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3008.18 it/sec, obj=9.56]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 9.566270256721957
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.304100279392163
    INFO - 16:31:29:          cstr2 = -52.995910843848655
    INFO - 16:31:29:          cstr3 = 1.7667094738271771e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.812961092515117 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.812962946388588 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037273) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.812961092515117 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.812962946388588 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 2986.48 it/sec, obj=9.17]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 9.177170082342574
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.243804191817159
    INFO - 16:31:29:          cstr2 = -53.05620603916764
    INFO - 16:31:29:          cstr3 = 1.6029965053121487e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.857900867419894 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.857902572584027 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037763) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.857900867419894 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.857902572584027 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 2733.94 it/sec, obj=8.8]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 8.801986053932161
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.176549949080384
    INFO - 16:31:29:          cstr2 = -53.12345948532793
    INFO - 16:31:29:          cstr3 = 1.4588381560542985e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.902144827297359 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.902146399698745 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.040897) ***
    INFO - 16:31:29: ...  68%|██████▊   | 34/50 [00:01<00:00, 31.53 it/sec, obj=67.4]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.902144827297359 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.902146399698745 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 3024.34 it/sec, obj=8.44]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 8.440091120039419
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.102651087844379
    INFO - 16:31:29:          cstr2 = -53.19735763296684
    INFO - 16:31:29:          cstr3 = 1.331406977556071e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.945724325743082 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |  2.94572577921162 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037071) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.945724325743082 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |  2.94572577921162 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   8%|▊         | 8/100 [00:00<00:00, 2961.41 it/sec, obj=8.09]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 9
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 8.090870387303882
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.023044146782937
    INFO - 16:31:29:          cstr2 = -53.2761790966897
    INFO - 16:31:29:          cstr3 = 0.00020079622720459156
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 2.988738006012545 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.988608546591318 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.037824) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 2.988738006012545 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.988608546591318 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   6%|▌         | 6/100 [00:00<00:00, 4154.05 it/sec, obj=7.76]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 7
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 7.757023645324856
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.242976354675143
    INFO - 16:31:29:          cstr2 = -52.68684957831693
    INFO - 16:31:29:          cstr3 = 3.3273386748078337e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.061695677834655 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.028256) ***
    INFO - 16:31:29: ...  74%|███████▍  | 37/50 [00:01<00:00, 29.46 it/sec, obj=73.5]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.061695677834655 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   5%|▌         | 5/100 [00:00<00:00, 4293.22 it/sec, obj=7.76]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 6
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 7.445362573568088
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.55463742643191
    INFO - 16:31:29:          cstr2 = -51.88237530806971
    INFO - 16:31:29:          cstr3 = 4.853377205904508e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.143831210916396 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.027244) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.143831210916396 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:29: ...   6%|▌         | 6/100 [00:00<00:00, 4161.22 it/sec, obj=7.15]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 7
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 7.154620914031879
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -12.84537908596812
    INFO - 16:31:29:          cstr2 = -51.111372431504165
    INFO - 16:31:29:          cstr3 = 4.151890550474491e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.223874747087953 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.028068) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.223874747087953 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   4%|▍         | 4/100 [00:00<00:00, 5435.64 it/sec, obj=7.15]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 6.883276960536007
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -13.116723039463992
    INFO - 16:31:29:          cstr2 = -50.37140586526117
    INFO - 16:31:29:          cstr3 = 3.579350433824402e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.301978515879139 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.022337) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.301978515879139 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   4%|▍         | 4/100 [00:00<00:00, 5486.70 it/sec, obj=6.88]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 6.629985301431095
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -13.370014698568903
    INFO - 16:31:29:          cstr2 = -49.660322954951624
    INFO - 16:31:29:          cstr3 = 3.107424234372047e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.378277057746577 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.022236) ***
    INFO - 16:31:29: ...  82%|████████▏ | 41/50 [00:01<00:00, 27.66 it/sec, obj=81.7]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.378277057746577 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   4%|▍         | 4/100 [00:00<00:00, 5242.68 it/sec, obj=6.63]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 6.393549214890564
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -13.606450785109434
    INFO - 16:31:29:          cstr2 = -48.97620894882783
    INFO - 16:31:29:          cstr3 = 2.7149464330022965e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.452890044343788 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.022984) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.452890044343788 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   5%|▌         | 5/100 [00:00<00:00, 4352.47 it/sec, obj=6.39]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 6
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 6.172898632413595
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -13.827101367586403
    INFO - 16:31:29:          cstr2 = -48.317351739694416
    INFO - 16:31:29:          cstr3 = 2.3858774227392132e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.525924482119862 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.026991) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.525924482119862 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   4%|▍         | 4/100 [00:00<00:00, 5465.10 it/sec, obj=6.17]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 5.967072131553423
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -14.032927868446574
    INFO - 16:31:29:          cstr2 = -47.682213053482386
    INFO - 16:31:29:          cstr3 = 2.107911811322083e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |      value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.59747651301184 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |        3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.022325) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |      value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.59747651301184 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |        3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   4%|▍         | 4/100 [00:00<00:00, 5426.99 it/sec, obj=5.97]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 5.775202092447151
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -14.224797907552846
    INFO - 16:31:29:          cstr2 = -47.06940469984319
    INFO - 16:31:29:          cstr3 = 1.8715021212756255e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.667632898767327 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.022414) ***
    INFO - 16:31:29: ...  90%|█████████ | 45/50 [00:01<00:00, 26.14 it/sec, obj=89.8]
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.667632898767327 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
   ERROR - 16:31:29: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:29: ...   4%|▍         | 4/100 [00:00<00:00, 5326.30 it/sec, obj=5.78]
    INFO - 16:31:29: Optimization result:
    INFO - 16:31:29:    Optimizer info:
    INFO - 16:31:29:       Status: None
    INFO - 16:31:29:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:29:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:29:    Solution:
    INFO - 16:31:29:       The solution is feasible.
    INFO - 16:31:29:       Objective: 5.5965023641763265
    INFO - 16:31:29:       Standardized constraints:
    INFO - 16:31:29:          cstr1 = -14.403497635823681
    INFO - 16:31:29:          cstr2 = -46.47766883842998
    INFO - 16:31:29:          cstr3 = 1.6691638791144214e-06
    INFO - 16:31:29:       Design space:
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:       | x1   |      0      | 3.736472254291057 |      5      | float |
    INFO - 16:31:29:       | x2   |      -5     | 2.999999999999999 |      3      | float |
    INFO - 16:31:29:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: *** End MDOScenario execution (time: 0:00:00.022727) ***
    INFO - 16:31:29:
    INFO - 16:31:29: *** Start MDOScenario execution ***
    INFO - 16:31:29: MDOScenario
    INFO - 16:31:29:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:29:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:29: Optimization problem:
    INFO - 16:31:29:    minimize obj2(x1, x2)
    INFO - 16:31:29:    with respect to x1, x2
    INFO - 16:31:29:    subject to constraints:
    INFO - 16:31:29:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:29:       cstr3(x1, x2) == 0.0
    INFO - 16:31:29:    over the design space:
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29:    | x1   |      0      | 3.736472254291057 |      5      | float |
    INFO - 16:31:29:    | x2   |      -5     | 2.999999999999999 |      3      | float |
    INFO - 16:31:29:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:29: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:29: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:29:
    INFO - 16:31:30: ...   5%|▌         | 5/100 [00:00<00:00, 5012.85 it/sec, obj=5.6]
    INFO - 16:31:30: Optimization result:
    INFO - 16:31:30:    Optimizer info:
    INFO - 16:31:30:       Status: None
    INFO - 16:31:30:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 16:31:30:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:30:    Solution:
    INFO - 16:31:30:       The solution is feasible.
    INFO - 16:31:30:       Objective: 5.430257940980228
    INFO - 16:31:30:       Standardized constraints:
    INFO - 16:31:30:          cstr1 = -14.569742059019779
    INFO - 16:31:30:          cstr2 = -45.90586146091414
    INFO - 16:31:30:          cstr3 = 1.4949736311109518e-06
    INFO - 16:31:30:       Design space:
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | x1   |      0      | 3.804066080011013 |      5      | float |
    INFO - 16:31:30:       | x2   |      -5     | 2.999999999999999 |      3      | float |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30: *** End MDOScenario execution (time: 0:00:00.024024) ***
    INFO - 16:31:30:
    INFO - 16:31:30: *** Start MDOScenario execution ***
    INFO - 16:31:30: MDOScenario
    INFO - 16:31:30:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:30:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:30: Optimization problem:
    INFO - 16:31:30:    minimize obj2(x1, x2)
    INFO - 16:31:30:    with respect to x1, x2
    INFO - 16:31:30:    subject to constraints:
    INFO - 16:31:30:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:30:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:30:       cstr3(x1, x2) == 0.0
    INFO - 16:31:30:    over the design space:
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:    | x1   |      0      | 3.804066080011013 |      5      | float |
    INFO - 16:31:30:    | x2   |      -5     | 2.999999999999999 |      3      | float |
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:30: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:30:
   ERROR - 16:31:30: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:30: ...   4%|▍         | 4/100 [00:00<00:00, 5457.21 it/sec, obj=5.43]
    INFO - 16:31:30: Optimization result:
    INFO - 16:31:30:    Optimizer info:
    INFO - 16:31:30:       Status: None
    INFO - 16:31:30:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:30:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:30:    Solution:
    INFO - 16:31:30:       The solution is feasible.
    INFO - 16:31:30:       Objective: 5.2758162619540165
    INFO - 16:31:30:       Standardized constraints:
    INFO - 16:31:30:          cstr1 = -14.724183738046001
    INFO - 16:31:30:          cstr2 = -45.352938470557305
    INFO - 16:31:30:          cstr3 = 1.344202033237707e-06
    INFO - 16:31:30:       Design space:
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | x1   |      0      | 3.870479631899447 |      5      | float |
    INFO - 16:31:30:       | x2   |      -5     | 2.999999999999998 |      3      | float |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30: *** End MDOScenario execution (time: 0:00:00.022295) ***
    INFO - 16:31:30:
    INFO - 16:31:30: *** Start MDOScenario execution ***
    INFO - 16:31:30: MDOScenario
    INFO - 16:31:30:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:30:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:30: Optimization problem:
    INFO - 16:31:30:    minimize obj2(x1, x2)
    INFO - 16:31:30:    with respect to x1, x2
    INFO - 16:31:30:    subject to constraints:
    INFO - 16:31:30:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:30:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:30:       cstr3(x1, x2) == 0.0
    INFO - 16:31:30:    over the design space:
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:    | x1   |      0      | 3.870479631899447 |      5      | float |
    INFO - 16:31:30:    | x2   |      -5     | 2.999999999999998 |      3      | float |
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:30: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:30:
   ERROR - 16:31:30: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:30: ...   4%|▍         | 4/100 [00:00<00:00, 5464.96 it/sec, obj=5.28]
    INFO - 16:31:30: Optimization result:
    INFO - 16:31:30:    Optimizer info:
    INFO - 16:31:30:       Status: None
    INFO - 16:31:30:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:30:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:30:    Solution:
    INFO - 16:31:30:       The solution is feasible.
    INFO - 16:31:30:       Objective: 5.132579832689039
    INFO - 16:31:30:       Standardized constraints:
    INFO - 16:31:30:          cstr1 = -14.867420167310959
    INFO - 16:31:30:          cstr2 = -44.81794387687677
    INFO - 16:31:30:          cstr3 = 1.213042054359903e-06
    INFO - 16:31:30:       Design space:
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | x1   |      0      | 3.935772659302045 |      5      | float |
    INFO - 16:31:30:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30: *** End MDOScenario execution (time: 0:00:00.022244) ***
    INFO - 16:31:30: ...  98%|█████████▊| 49/50 [00:02<00:00, 24.82 it/sec, obj=98]
    INFO - 16:31:30:
    INFO - 16:31:30: *** Start MDOScenario execution ***
    INFO - 16:31:30: MDOScenario
    INFO - 16:31:30:    Disciplines: AnalyticDiscipline AnalyticDiscipline
    INFO - 16:31:30:    MDO formulation: DisciplinaryOpt
    INFO - 16:31:30: Optimization problem:
    INFO - 16:31:30:    minimize obj2(x1, x2)
    INFO - 16:31:30:    with respect to x1, x2
    INFO - 16:31:30:    subject to constraints:
    INFO - 16:31:30:       cstr1(x1, x2) <= 0.0
    INFO - 16:31:30:       cstr2(x1, x2) <= 0.0
    INFO - 16:31:30:       cstr3(x1, x2) == 0.0
    INFO - 16:31:30:    over the design space:
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:    | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:    | x1   |      0      | 3.935772659302045 |      5      | float |
    INFO - 16:31:30:    | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:30:    +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 16:31:30: ...   0%|          | 0/100 [00:00<?, ?it]
    INFO - 16:31:30:
   ERROR - 16:31:30: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 16:31:30: ...   4%|▍         | 4/100 [00:00<00:00, 5467.88 it/sec, obj=5.13]
    INFO - 16:31:30: Optimization result:
    INFO - 16:31:30:    Optimizer info:
    INFO - 16:31:30:       Status: None
    INFO - 16:31:30:       Message:  GEMSEO Stopped the driver
    INFO - 16:31:30:       Number of calls to the objective function by the optimizer: 5
    INFO - 16:31:30:    Solution:
    INFO - 16:31:30:       The solution is feasible.
    INFO - 16:31:30:       Objective: 4.9999999313496275
    INFO - 16:31:30:       Standardized constraints:
    INFO - 16:31:30:          cstr1 = -15.00000006865037
    INFO - 16:31:30:          cstr2 = -44.299999725398514
    INFO - 16:31:30:          cstr3 = 1.0984059315433115e-06
    INFO - 16:31:30:       Design space:
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | name | lower_bound |       value       | upper_bound | type  |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30:       | x1   |      0      | 4.000000034325185 |      5      | float |
    INFO - 16:31:30:       | x2   |      -5     |         3         |      3      | float |
    INFO - 16:31:30:       +------+-------------+-------------------+-------------+-------+
    INFO - 16:31:30: *** End MDOScenario execution (time: 0:00:00.022476) ***
    INFO - 16:31:30: ... 100%|██████████| 50/50 [00:02<00:00, 24.49 it/sec, obj=100]
    INFO - 16:31:30: Optimization result:
    INFO - 16:31:30:    Optimizer info:
    INFO - 16:31:30:       Status: None
    INFO - 16:31:30:       Message: None
    INFO - 16:31:30:       Number of calls to the objective function by the optimizer: 50
    INFO - 16:31:30:    Solution:
    INFO - 16:31:30:       The solution is feasible.
    INFO - 16:31:30:       Objective: 0.10832777706440924
    INFO - 16:31:30:       Standardized constraints:
    INFO - 16:31:30:          cstr3 = 0.008327777064409236
    INFO - 16:31:30:       Design space:
    INFO - 16:31:30:       +-------------+-------------+-------+-------------+-------+
    INFO - 16:31:30:       | name        | lower_bound | value | upper_bound | type  |
    INFO - 16:31:30:       +-------------+-------------+-------+-------------+-------+
    INFO - 16:31:30:       | obj1_target |     0.1     |  0.1  |     100     | float |
    INFO - 16:31:30:       +-------------+-------------+-------+-------------+-------+
    INFO - 16:31:30: *** End DOEScenario execution (time: 0:00:02.050962) ***

<gemseo.post.pareto_front.ParetoFront object at 0x7f8e3c532b80>

Total running time of the script: ( 0 minutes 2.392 seconds)

Gallery generated by Sphinx-Gallery