code: def test_gp_minimize_bench4(search, acq):
      # this particular random_state picks "2" twice so we can make an extra
      # call to the objective without repeating options
      check_minimize(
          bench4,
          0,
          [("-2", "-1", "0", "1", "2")],
          search,
          acq,
          1.05,
          20,
      )
  
imports: import numpy
  from numpy.testing import assert_array_equal
  import pytest
  from skopt import gp_minimize
  from skopt.benchmarks import bench1
  from skopt.benchmarks import bench2
  from skopt.benchmarks import bench3
  from skopt.benchmarks import bench4
  from skopt.benchmarks import branin
  from skopt.space.space import Real, Categorical, Space
  from skopt.utils import cook_estimator
label_desc: Use image node_id 6 for calling a global function with example usage: test_gp_minimize_bench4(search, acq) without return types