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 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 matplotlib import pyplot as plt
from numpy import array

configure_logger()

Out:

<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=False
)
plt.show()
Pareto front

Out:

 INFO - 10:04:52:
 INFO - 10:04:52: *** Start DOEScenario execution ***
 INFO - 10:04:52: DOEScenario
 INFO - 10:04:52:    Disciplines: MDOScenario_adapter
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj1(obj1_target)
 INFO - 10:04:52:    with respect to obj1_target
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr3(obj1_target) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +-------------+-------------+-------+-------------+-------+
 INFO - 10:04:52:    | name        | lower_bound | value | upper_bound | type  |
 INFO - 10:04:52:    +-------------+-------------+-------+-------------+-------+
 INFO - 10:04:52:    | obj1_target |     0.1     |   1   |     100     | float |
 INFO - 10:04:52:    +-------------+-------------+-------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm fullfact:
 INFO - 10:04:52: Full factorial design required. Number of samples along each direction for a design vector of size 1 with 50 samples: 50
 INFO - 10:04:52: Final number of samples for DOE = 50 vs 50 requested
 INFO - 10:04:52: ...   0%|          | 0/50 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound | value | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      |   2   |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     |   2   |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  22%|██▏       | 22/100 [00:00<00:00, 947.55 it/sec, obj=47.7]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  25%|██▌       | 25/100 [00:00<00:00, 821.58 it/sec, obj=47.7]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 32
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 47.703727654876516
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -1.0667466573428754
 INFO - 10:04:52:          cstr2 = -64.31467159436009
 INFO - 10:04:52:          cstr3 = 0.008327777064409236
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 0.1093828601608978 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 0.1229525687780608 |      3      | float |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.131623) ***
 INFO - 10:04:52: ...   2%|▏         | 1/50 [00:00<00:00, 360.65 it/sec]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 0.1093828601608978 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 0.1229525687780608 |      3      | float |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  13%|█▎        | 13/100 [00:00<00:00, 1695.32 it/sec, obj=39.8]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 16
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 40.19103454891671
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -4.635553160505001
 INFO - 10:04:52:          cstr2 = -60.66617024950777
 INFO - 10:04:52:          cstr3 = 0.0011716100039924626
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 0.5170539940557017 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 0.5173412290578288 |      3      | float |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.062971) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 0.5170539940557017 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 0.5173412290578288 |      3      | float |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  11%|█         | 11/100 [00:00<00:00, 2171.20 it/sec, obj=35.9]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 12
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 36.59177704909952
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -6.181927091281441
 INFO - 10:04:52:          cstr2 = -59.1180600956955
 INFO - 10:04:52:          cstr3 = 9.47309592103096e-06
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 0.7226317214657462 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 0.7226295859619043 |      3      | float |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.050160) ***
 INFO - 10:04:52: ...   6%|▌         | 3/50 [00:00<00:00, 194.45 it/sec]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 0.7226317214657462 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 0.7226295859619043 |      3      | float |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2838.42 it/sec, obj=33.6]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 33.919631813422384
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -7.255848461968618
 INFO - 10:04:52:          cstr2 = -58.05233099585455
 INFO - 10:04:52:          cstr3 = 0.0038288011280993572
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 0.8810887294903702 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 0.882451972460899  |      3      | float |
 INFO - 10:04:52:       +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.039239) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value        | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 0.8810887294903702 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 0.882451972460899  |      3      | float |
 INFO - 10:04:52:    +------+-------------+--------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   9%|▉         | 9/100 [00:00<00:00, 2501.08 it/sec]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 31.74205545582052
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -8.126479874112459
 INFO - 10:04:52:          cstr2 = -57.137414252228
 INFO - 10:04:52:          cstr3 = 0.005542967398865173
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.019164112616626 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.013146467006703 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.044041) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.019164112616626 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.013146467006703 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  12%|█▏        | 12/100 [00:00<00:00, 1826.49 it/sec, obj=29.9]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 15
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 29.88109811954699
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -8.904130006507508
 INFO - 10:04:52:          cstr2 = -56.236931646326525
 INFO - 10:04:52:          cstr3 = 0.008278899838032316
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.147966911922212 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     |  1.12147718739455 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.059049) ***
 INFO - 10:04:52: ...  12%|█▏        | 6/50 [00:00<00:00, 122.67 it/sec]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.147966911922212 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     |  1.12147718739455 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  12%|█▏        | 12/100 [00:00<00:00, 1845.42 it/sec, obj=28.2]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 14
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 28.24715432188683
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -9.262042373098518
 INFO - 10:04:52:          cstr2 = -56.1244562169954
 INFO - 10:04:52:          cstr3 = 0.005733399147294094
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.234663898819147 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.249080330501465 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.058237) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.234663898819147 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.249080330501465 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  11%|█         | 11/100 [00:00<00:00, 2082.25 it/sec, obj=26.8]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 13
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 26.78338139404545
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -9.960291855840104
 INFO - 10:04:52:          cstr2 = -55.16052551821478
 INFO - 10:04:52:          cstr3 = 0.007261845302840797
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.355496446002296 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.325632675011445 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.052097) ***
 INFO - 10:04:52: ...  16%|█▌        | 8/50 [00:00<00:00, 95.55 it/sec]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.355496446002296 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.325632675011445 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  11%|█         | 11/100 [00:00<00:00, 1974.11 it/sec, obj=25.5]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 13
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 25.456747661016507
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -10.182735612985024
 INFO - 10:04:52:          cstr2 = -55.162076920524946
 INFO - 10:04:52:          cstr3 = 0.0021701470212498464
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      |  1.42858291701485 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.436051672599847 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.054688) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      |  1.42858291701485 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.436051672599847 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...  11%|█         | 11/100 [00:00<00:00, 1982.94 it/sec, obj=24.2]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 13
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 24.238961391299995
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -10.581988784945853
 INFO - 10:04:52:          cstr2 = -54.70852336416608
 INFO - 10:04:52:          cstr3 = 0.0025169026502354086
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      |  1.51948629085676 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.517904982375415 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.054512) ***
 INFO - 10:04:52: ...  20%|██        | 10/50 [00:00<00:00, 78.39 it/sec]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      |  1.51948629085676 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.517904982375415 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   9%|▉         | 9/100 [00:00<00:00, 2513.76 it/sec]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 23.11579694920823
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -10.870999209927898
 INFO - 10:04:52:          cstr2 = -54.4411348517972
 INFO - 10:04:52:          cstr3 = 0.00016967686911684154
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.599298040465538 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.601320384086387 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.043831) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.599298040465538 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.601320384086387 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2856.71 it/sec]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 8
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 22.070806133873354
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -11.152004241913563
 INFO - 10:04:52:          cstr2 = -54.144115710393905
 INFO - 10:04:52:          cstr3 = 7.790157006937193e-05
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.678365637036731 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.677718962421308 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.039066) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.678365637036731 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.677718962421308 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2887.21 it/sec]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 8
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 21.094680946646342
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -11.382543763227893
 INFO - 10:04:52:          cstr2 = -53.916789711709825
 INFO - 10:04:52:          cstr3 = 6.34855576464588e-05
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.752388616522955 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.752277529012576 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.038513) ***
 INFO - 10:04:52: ...  26%|██▌       | 13/50 [00:00<00:00, 65.16 it/sec]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.752388616522955 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.752277529012576 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2840.78 it/sec, obj=20.2]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 20.179041747322394
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -11.584857264428393
 INFO - 10:04:52:          cstr2 = -53.715271313888515
 INFO - 10:04:52:          cstr3 = 3.6073850846918276e-05
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.823588669105437 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.823610098824921 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.039164) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.823588669105437 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.823610098824921 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2821.08 it/sec, obj=19.3]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 19.31704274741805
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -11.761045500685725
 INFO - 10:04:52:          cstr2 = -53.53904269398964
 INFO - 10:04:52:          cstr3 = 1.9897482413711032e-05
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 1.892176476077061 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.892191175189622 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.039438) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 1.892176476077061 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.892191175189622 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2787.10 it/sec, obj=18.5]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 18.50304766834182
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -11.91320794150552
 INFO - 10:04:52:          cstr2 = -53.38686658612579
 INFO - 10:04:52:          cstr3 = 1.6290651892347796e-05
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      |  1.95836201774338 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 1.958374439015266 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.039871) ***
 INFO - 10:04:52: ...  32%|███▏      | 16/50 [00:00<00:00, 55.95 it/sec]
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      |  1.95836201774338 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 1.958374439015266 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2842.52 it/sec, obj=17.7]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 17.732348004038087
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -12.043720783556537
 INFO - 10:04:52:          cstr2 = -53.256342241945774
 INFO - 10:04:52:          cstr3 = 1.3382114616433682e-05
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 2.022382616990152 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 2.022393121240538 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.039026) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 2.022382616990152 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 2.022393121240538 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:52: ...   8%|▊         | 8/100 [00:00<00:00, 2787.26 it/sec, obj=17]
 INFO - 10:04:52: Optimization result:
 INFO - 10:04:52:    Optimizer info:
 INFO - 10:04:52:       Status: None
 INFO - 10:04:52:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:52:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:52:    Solution:
 INFO - 10:04:52:       The solution is feasible.
 INFO - 10:04:52:       Objective: 17.000954389919343
 INFO - 10:04:52:       Standardized constraints:
 INFO - 10:04:52:          cstr1 = -12.154578598016688
 INFO - 10:04:52:          cstr2 = -53.14547523083256
 INFO - 10:04:52:          cstr3 = 1.112372472533707e-05
 INFO - 10:04:52:       Design space:
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:       | x1   |      0      | 2.084437729731522 |      5      | float |
 INFO - 10:04:52:       | x2   |      -5     | 2.084446701206397 |      3      | float |
 INFO - 10:04:52:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: *** End MDOScenario execution (time: 0:00:00.039871) ***
 INFO - 10:04:52:
 INFO - 10:04:52: *** Start MDOScenario execution ***
 INFO - 10:04:52: MDOScenario
 INFO - 10:04:52:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:52:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:52: Optimization problem:
 INFO - 10:04:52:    minimize obj2(x1, x2)
 INFO - 10:04:52:    with respect to x1, x2
 INFO - 10:04:52:    subject to constraints:
 INFO - 10:04:52:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:52:       cstr3(x1, x2) == 0.0
 INFO - 10:04:52:    over the design space:
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52:    | x1   |      0      | 2.084437729731522 |      5      | float |
 INFO - 10:04:52:    | x2   |      -5     | 2.084446701206397 |      3      | float |
 INFO - 10:04:52:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:52: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:52: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:52:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2826.88 it/sec, obj=16.3]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 16.30545494358224
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.247487820159945
 INFO - 10:04:53:          cstr2 = -53.0525585506805
 INFO - 10:04:53:          cstr3 = 9.341781733951393e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.144697995152375 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.144705723625782 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039866) ***
 INFO - 10:04:53: ...  38%|███▊      | 19/50 [00:01<00:00, 49.01 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.144697995152375 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.144705723625782 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2836.48 it/sec, obj=15.6]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 15.642904546075751
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.323921352239278
 INFO - 10:04:53:          cstr2 = -52.976118905633655
 INFO - 10:04:53:          cstr3 = 7.918085636049454e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.203310700523008 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.203317410168497 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039259) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.203310700523008 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.203317410168497 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2835.62 it/sec, obj=15]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 15.010740057807617
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.385161018109931
 INFO - 10:04:53:          cstr2 = -52.91487417972193
 INFO - 10:04:53:          cstr3 = 6.767595998269371e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.260404026102934 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.260409892408245 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039232) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.260404026102934 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.260409892408245 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2780.45 it/sec, obj=14.4]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 14.40671436156971
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.432330566830654
 INFO - 10:04:53:          cstr2 = -52.867700404654286
 INFO - 10:04:53:          cstr3 = 5.828223912374142e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.316090345245806 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.316095507159964 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.040066) ***
 INFO - 10:04:53: ...  44%|████▍     | 22/50 [00:01<00:00, 43.61 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.316090345245806 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.316095507159964 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2829.25 it/sec, obj=13.8]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 13.828844363467137
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.46642168992727
 INFO - 10:04:53:          cstr2 = -52.83360572231145
 INFO - 10:04:53:          cstr3 = 5.053965359991253e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.370468825954106 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.370473394660559 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039365) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.370468825954106 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.370473394660559 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2841.25 it/sec, obj=13.3]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 13.27536950292725
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.48831477873483
 INFO - 10:04:53:          cstr2 = -52.811709613282154
 INFO - 10:04:53:          cstr3 = 4.4102718916860795e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.423627506497627 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.423631571833792 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039282) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.423627506497627 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.423631571833792 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2850.36 it/sec, obj=12.7]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 12.744718286984694
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.498795665972281
 INFO - 10:04:53:          cstr2 = -52.801226145304284
 INFO - 10:04:53:          cstr3 = 3.870874571987315e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.475644969491541 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.475648604704302 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039086) ***
 INFO - 10:04:53: ...  50%|█████     | 25/50 [00:01<00:00, 39.30 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.475644969491541 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.475648604704302 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2793.04 it/sec, obj=12.2]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 12.235481029876208
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.49856926217808
 INFO - 10:04:53:          cstr2 = -52.80145032968164
 INFO - 10:04:53:          cstr3 = 3.4155702692828527e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.526591705484616 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.526594970794571 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.040161) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.526591705484616 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.526594970794571 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2835.50 it/sec, obj=11.7]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 11.746387447065569
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.488270763209497
 INFO - 10:04:53:          cstr2 = -52.81174690860545
 INFO - 10:04:53:          cstr3 = 3.0286559535852575e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.576531233670002 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.576534178972493 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039401) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.576531233670002 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.576534178972493 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2812.76 it/sec, obj=11.3]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 11.276288087191698
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.46847493757269
 INFO - 10:04:53:          cstr2 = -52.83154106402759
 INFO - 10:04:53:          cstr3 = 2.697806259277513e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.625521030590181 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.625523697523561 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039679) ***
 INFO - 10:04:53: ...  56%|█████▌    | 28/50 [00:01<00:00, 35.73 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.625521030590181 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.625523697523561 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2784.77 it/sec, obj=10.8]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 10.824138827797562
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.439703881005212
 INFO - 10:04:53:          cstr2 = -52.86031066026405
 INFO - 10:04:53:          cstr3 = 2.413258648914507e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.673613305574845 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.673615729119723 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039994) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.673613305574845 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.673615729119723 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2848.75 it/sec, obj=10.4]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 10.388987838736117
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.402433536604322
 INFO - 10:04:53:          cstr2 = -52.89757972175886
 INFO - 10:04:53:          cstr3 = 2.1672147170193057e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.720855652738759 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.720857862465956 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039230) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.720855652738759 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.720857862465956 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2837.52 it/sec, obj=9.97]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 9.969964549551625
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.357099212520435
 INFO - 10:04:53:          cstr2 = -52.94291291379632
 INFO - 10:04:53:          cstr3 = 1.9533958521833483e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.767291602740001 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.767293623792794 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039245) ***
 INFO - 10:04:53: ...  62%|██████▏   | 31/50 [00:01<00:00, 32.77 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.767291602740001 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.767293623792794 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2858.15 it/sec, obj=9.56]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 9.566270256721957
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.304100279392163
 INFO - 10:04:53:          cstr2 = -52.995910843848655
 INFO - 10:04:53:          cstr3 = 1.7667094738271771e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.812961092515117 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.812962946388588 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039030) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.812961092515117 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.812962946388588 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2852.28 it/sec, obj=9.17]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 9.177170082342574
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.243804191817159
 INFO - 10:04:53:          cstr2 = -53.05620603916764
 INFO - 10:04:53:          cstr3 = 1.6029965053121487e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.857900867419894 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.857902572584027 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039204) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.857900867419894 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.857902572584027 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2814.36 it/sec, obj=8.8]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 8.801986053932161
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.176549949080384
 INFO - 10:04:53:          cstr2 = -53.12345948532793
 INFO - 10:04:53:          cstr3 = 1.4588381560542985e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.902144827297359 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.902146399698745 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039540) ***
 INFO - 10:04:53: ...  68%|██████▊   | 34/50 [00:01<00:00, 30.28 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.902144827297359 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.902146399698745 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2822.43 it/sec, obj=8.44]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 8.440091120039419
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.102651087844379
 INFO - 10:04:53:          cstr2 = -53.19735763296684
 INFO - 10:04:53:          cstr3 = 1.331406977556071e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.945724325743082 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |  2.94572577921162 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.039392) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.945724325743082 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |  2.94572577921162 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   8%|▊         | 8/100 [00:00<00:00, 2874.01 it/sec, obj=8.09]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 9
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 8.090870387303882
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.023044146782937
 INFO - 10:04:53:          cstr2 = -53.2761790966897
 INFO - 10:04:53:          cstr3 = 0.00020079622720459156
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 2.988738006012545 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     | 2.988608546591318 |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.038854) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 2.988738006012545 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     | 2.988608546591318 |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   6%|▌         | 6/100 [00:00<00:00, 3960.51 it/sec, obj=7.76]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 7
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 7.757023645324856
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.242976354675143
 INFO - 10:04:53:          cstr2 = -52.68684957831693
 INFO - 10:04:53:          cstr3 = 3.3273386748078337e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.061695677834655 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.029210) ***
 INFO - 10:04:53: ...  74%|███████▍  | 37/50 [00:01<00:00, 28.30 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.061695677834655 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
ERROR - 10:04:53: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:53: ...   5%|▌         | 5/100 [00:00<00:00, 4163.04 it/sec]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 6
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 7.445362573568088
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.55463742643191
 INFO - 10:04:53:          cstr2 = -51.88237530806971
 INFO - 10:04:53:          cstr3 = 4.853377205904508e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.143831210916396 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.027925) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.143831210916396 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
 INFO - 10:04:53: ...   6%|▌         | 6/100 [00:00<00:00, 3959.77 it/sec, obj=7.15]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 7
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 7.154620914031879
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -12.84537908596812
 INFO - 10:04:53:          cstr2 = -51.111372431504165
 INFO - 10:04:53:          cstr3 = 4.151890550474491e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.223874747087953 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.029553) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.223874747087953 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
ERROR - 10:04:53: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:53: ...   4%|▍         | 4/100 [00:00<00:00, 5095.74 it/sec]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 6.883276960536007
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -13.116723039463992
 INFO - 10:04:53:          cstr2 = -50.37140586526117
 INFO - 10:04:53:          cstr3 = 3.579350433824402e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.301978515879139 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.023731) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.301978515879139 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
ERROR - 10:04:53: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:53: ...   4%|▍         | 4/100 [00:00<00:00, 5165.02 it/sec]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 6.629985301431095
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -13.370014698568903
 INFO - 10:04:53:          cstr2 = -49.660322954951624
 INFO - 10:04:53:          cstr3 = 3.107424234372047e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.378277057746577 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.023250) ***
 INFO - 10:04:53: ...  82%|████████▏ | 41/50 [00:01<00:00, 26.57 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.378277057746577 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
ERROR - 10:04:53: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:53: ...   4%|▍         | 4/100 [00:00<00:00, 5134.98 it/sec]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 6.393549214890564
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -13.606450785109434
 INFO - 10:04:53:          cstr2 = -48.97620894882783
 INFO - 10:04:53:          cstr3 = 2.7149464330022965e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.452890044343788 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.023329) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.452890044343788 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
ERROR - 10:04:53: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:53: ...   5%|▌         | 5/100 [00:00<00:00, 4144.81 it/sec]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 6
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 6.172898632413595
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -13.827101367586403
 INFO - 10:04:53:          cstr2 = -48.317351739694416
 INFO - 10:04:53:          cstr3 = 2.3858774227392132e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.525924482119862 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.028066) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.525924482119862 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
ERROR - 10:04:53: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:53: ...   4%|▍         | 4/100 [00:00<00:00, 5173.94 it/sec]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 5.967072131553423
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -14.032927868446574
 INFO - 10:04:53:          cstr2 = -47.682213053482386
 INFO - 10:04:53:          cstr3 = 2.107911811322083e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |      value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.59747651301184 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |        3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.023222) ***
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |      value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.59747651301184 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |        3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:53: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:53:
ERROR - 10:04:53: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:53: ...   4%|▍         | 4/100 [00:00<00:00, 5191.42 it/sec]
 INFO - 10:04:53: Optimization result:
 INFO - 10:04:53:    Optimizer info:
 INFO - 10:04:53:       Status: None
 INFO - 10:04:53:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:53:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:53:    Solution:
 INFO - 10:04:53:       The solution is feasible.
 INFO - 10:04:53:       Objective: 5.775202092447151
 INFO - 10:04:53:       Standardized constraints:
 INFO - 10:04:53:          cstr1 = -14.224797907552846
 INFO - 10:04:53:          cstr2 = -47.06940469984319
 INFO - 10:04:53:          cstr3 = 1.8715021212756255e-06
 INFO - 10:04:53:       Design space:
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:       | x1   |      0      | 3.667632898767327 |      5      | float |
 INFO - 10:04:53:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: *** End MDOScenario execution (time: 0:00:00.023109) ***
 INFO - 10:04:53: ...  90%|█████████ | 45/50 [00:01<00:00, 25.13 it/sec]
 INFO - 10:04:53:
 INFO - 10:04:53: *** Start MDOScenario execution ***
 INFO - 10:04:53: MDOScenario
 INFO - 10:04:53:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:53:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:53: Optimization problem:
 INFO - 10:04:53:    minimize obj2(x1, x2)
 INFO - 10:04:53:    with respect to x1, x2
 INFO - 10:04:53:    subject to constraints:
 INFO - 10:04:53:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:53:       cstr3(x1, x2) == 0.0
 INFO - 10:04:53:    over the design space:
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53:    | x1   |      0      | 3.667632898767327 |      5      | float |
 INFO - 10:04:53:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:53:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:53: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:54: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:54:
ERROR - 10:04:54: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:54: ...   4%|▍         | 4/100 [00:00<00:00, 5200.75 it/sec]
 INFO - 10:04:54: Optimization result:
 INFO - 10:04:54:    Optimizer info:
 INFO - 10:04:54:       Status: None
 INFO - 10:04:54:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:54:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:54:    Solution:
 INFO - 10:04:54:       The solution is feasible.
 INFO - 10:04:54:       Objective: 5.5965023641763265
 INFO - 10:04:54:       Standardized constraints:
 INFO - 10:04:54:          cstr1 = -14.403497635823681
 INFO - 10:04:54:          cstr2 = -46.47766883842998
 INFO - 10:04:54:          cstr3 = 1.6691638791144214e-06
 INFO - 10:04:54:       Design space:
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | x1   |      0      | 3.736472254291057 |      5      | float |
 INFO - 10:04:54:       | x2   |      -5     | 2.999999999999999 |      3      | float |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: *** End MDOScenario execution (time: 0:00:00.023316) ***
 INFO - 10:04:54:
 INFO - 10:04:54: *** Start MDOScenario execution ***
 INFO - 10:04:54: MDOScenario
 INFO - 10:04:54:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:54:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:54: Optimization problem:
 INFO - 10:04:54:    minimize obj2(x1, x2)
 INFO - 10:04:54:    with respect to x1, x2
 INFO - 10:04:54:    subject to constraints:
 INFO - 10:04:54:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr3(x1, x2) == 0.0
 INFO - 10:04:54:    over the design space:
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | x1   |      0      | 3.736472254291057 |      5      | float |
 INFO - 10:04:54:    | x2   |      -5     | 2.999999999999999 |      3      | float |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:54: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:54:
 INFO - 10:04:54: ...   5%|▌         | 5/100 [00:00<00:00, 4781.36 it/sec]
 INFO - 10:04:54: Optimization result:
 INFO - 10:04:54:    Optimizer info:
 INFO - 10:04:54:       Status: None
 INFO - 10:04:54:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
 INFO - 10:04:54:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:54:    Solution:
 INFO - 10:04:54:       The solution is feasible.
 INFO - 10:04:54:       Objective: 5.430257940980228
 INFO - 10:04:54:       Standardized constraints:
 INFO - 10:04:54:          cstr1 = -14.569742059019779
 INFO - 10:04:54:          cstr2 = -45.90586146091414
 INFO - 10:04:54:          cstr3 = 1.4949736311109518e-06
 INFO - 10:04:54:       Design space:
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | x1   |      0      | 3.804066080011013 |      5      | float |
 INFO - 10:04:54:       | x2   |      -5     | 2.999999999999999 |      3      | float |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: *** End MDOScenario execution (time: 0:00:00.024867) ***
 INFO - 10:04:54:
 INFO - 10:04:54: *** Start MDOScenario execution ***
 INFO - 10:04:54: MDOScenario
 INFO - 10:04:54:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:54:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:54: Optimization problem:
 INFO - 10:04:54:    minimize obj2(x1, x2)
 INFO - 10:04:54:    with respect to x1, x2
 INFO - 10:04:54:    subject to constraints:
 INFO - 10:04:54:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr3(x1, x2) == 0.0
 INFO - 10:04:54:    over the design space:
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | x1   |      0      | 3.804066080011013 |      5      | float |
 INFO - 10:04:54:    | x2   |      -5     | 2.999999999999999 |      3      | float |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:54: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:54:
ERROR - 10:04:54: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:54: ...   4%|▍         | 4/100 [00:00<00:00, 5230.33 it/sec]
 INFO - 10:04:54: Optimization result:
 INFO - 10:04:54:    Optimizer info:
 INFO - 10:04:54:       Status: None
 INFO - 10:04:54:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:54:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:54:    Solution:
 INFO - 10:04:54:       The solution is feasible.
 INFO - 10:04:54:       Objective: 5.2758162619540165
 INFO - 10:04:54:       Standardized constraints:
 INFO - 10:04:54:          cstr1 = -14.724183738046001
 INFO - 10:04:54:          cstr2 = -45.352938470557305
 INFO - 10:04:54:          cstr3 = 1.344202033237707e-06
 INFO - 10:04:54:       Design space:
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | x1   |      0      | 3.870479631899447 |      5      | float |
 INFO - 10:04:54:       | x2   |      -5     | 2.999999999999998 |      3      | float |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: *** End MDOScenario execution (time: 0:00:00.022901) ***
 INFO - 10:04:54:
 INFO - 10:04:54: *** Start MDOScenario execution ***
 INFO - 10:04:54: MDOScenario
 INFO - 10:04:54:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:54:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:54: Optimization problem:
 INFO - 10:04:54:    minimize obj2(x1, x2)
 INFO - 10:04:54:    with respect to x1, x2
 INFO - 10:04:54:    subject to constraints:
 INFO - 10:04:54:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr3(x1, x2) == 0.0
 INFO - 10:04:54:    over the design space:
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | x1   |      0      | 3.870479631899447 |      5      | float |
 INFO - 10:04:54:    | x2   |      -5     | 2.999999999999998 |      3      | float |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:54: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:54:
ERROR - 10:04:54: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:54: ...   4%|▍         | 4/100 [00:00<00:00, 5204.50 it/sec]
 INFO - 10:04:54: Optimization result:
 INFO - 10:04:54:    Optimizer info:
 INFO - 10:04:54:       Status: None
 INFO - 10:04:54:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:54:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:54:    Solution:
 INFO - 10:04:54:       The solution is feasible.
 INFO - 10:04:54:       Objective: 5.132579832689039
 INFO - 10:04:54:       Standardized constraints:
 INFO - 10:04:54:          cstr1 = -14.867420167310959
 INFO - 10:04:54:          cstr2 = -44.81794387687677
 INFO - 10:04:54:          cstr3 = 1.213042054359903e-06
 INFO - 10:04:54:       Design space:
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | x1   |      0      | 3.935772659302045 |      5      | float |
 INFO - 10:04:54:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: *** End MDOScenario execution (time: 0:00:00.023078) ***
 INFO - 10:04:54: ...  98%|█████████▊| 49/50 [00:02<00:00, 23.88 it/sec]
 INFO - 10:04:54:
 INFO - 10:04:54: *** Start MDOScenario execution ***
 INFO - 10:04:54: MDOScenario
 INFO - 10:04:54:    Disciplines: AnalyticDiscipline AnalyticDiscipline
 INFO - 10:04:54:    MDO formulation: DisciplinaryOpt
 INFO - 10:04:54: Optimization problem:
 INFO - 10:04:54:    minimize obj2(x1, x2)
 INFO - 10:04:54:    with respect to x1, x2
 INFO - 10:04:54:    subject to constraints:
 INFO - 10:04:54:       cstr1(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr2(x1, x2) <= 0.0
 INFO - 10:04:54:       cstr3(x1, x2) == 0.0
 INFO - 10:04:54:    over the design space:
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:    | x1   |      0      | 3.935772659302045 |      5      | float |
 INFO - 10:04:54:    | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:54:    +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: Solving optimization problem with algorithm NLOPT_SLSQP:
 INFO - 10:04:54: ...   0%|          | 0/100 [00:00<?, ?it]
 INFO - 10:04:54:
ERROR - 10:04:54: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
 INFO - 10:04:54: ...   4%|▍         | 4/100 [00:00<00:00, 5093.76 it/sec]
 INFO - 10:04:54: Optimization result:
 INFO - 10:04:54:    Optimizer info:
 INFO - 10:04:54:       Status: None
 INFO - 10:04:54:       Message:  GEMSEO Stopped the driver
 INFO - 10:04:54:       Number of calls to the objective function by the optimizer: 5
 INFO - 10:04:54:    Solution:
 INFO - 10:04:54:       The solution is feasible.
 INFO - 10:04:54:       Objective: 4.9999999313496275
 INFO - 10:04:54:       Standardized constraints:
 INFO - 10:04:54:          cstr1 = -15.00000006865037
 INFO - 10:04:54:          cstr2 = -44.299999725398514
 INFO - 10:04:54:          cstr3 = 1.0984059315433115e-06
 INFO - 10:04:54:       Design space:
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | name | lower_bound |       value       | upper_bound | type  |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54:       | x1   |      0      | 4.000000034325185 |      5      | float |
 INFO - 10:04:54:       | x2   |      -5     |         3         |      3      | float |
 INFO - 10:04:54:       +------+-------------+-------------------+-------------+-------+
 INFO - 10:04:54: *** End MDOScenario execution (time: 0:00:00.023459) ***
 INFO - 10:04:54: ... 100%|██████████| 50/50 [00:02<00:00, 23.57 it/sec]
 INFO - 10:04:54: Optimization result:
 INFO - 10:04:54:    Optimizer info:
 INFO - 10:04:54:       Status: None
 INFO - 10:04:54:       Message: None
 INFO - 10:04:54:       Number of calls to the objective function by the optimizer: 50
 INFO - 10:04:54:    Solution:
 INFO - 10:04:54:       The solution is feasible.
 INFO - 10:04:54:       Objective: 0.10832777706440924
 INFO - 10:04:54:       Standardized constraints:
 INFO - 10:04:54:          cstr3 = 0.008327777064409236
 INFO - 10:04:54:       Design space:
 INFO - 10:04:54:       +-------------+-------------+-------+-------------+-------+
 INFO - 10:04:54:       | name        | lower_bound | value | upper_bound | type  |
 INFO - 10:04:54:       +-------------+-------------+-------+-------------+-------+
 INFO - 10:04:54:       | obj1_target |     0.1     |  0.1  |     100     | float |
 INFO - 10:04:54:       +-------------+-------------+-------+-------------+-------+
 INFO - 10:04:54: *** End DOEScenario execution (time: 0:00:02.129741) ***

Total running time of the script: ( 0 minutes 2.460 seconds)

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