code: def test_minimize_with_timeout(self):
      def f_and_g(x: np.ndarray, sleep_sec: float = 0.0):
          time.sleep(sleep_sec)
          return x**2, 2 * x
  
      base_kwargs = {
          "fun": f_and_g,
          "x0": np.array([1.0]),
          "method": "L-BFGS-B",
          "jac": True,
          "bounds": [(-2.0, 2.0)],
      }
  
      with self.subTest("test w/o timeout"):
          res = minimize_with_timeout(**base_kwargs)
          self.assertTrue(res.success)
          self.assertAlmostEqual(res.fun, 0.0)
          self.assertAlmostEqual(res.x.item(), 0.0)
          self.assertEqual(res.nit, 2)  # quadratic approx. is exact
  
      with self.subTest("test w/ non-binding timeout"):
          res = minimize_with_timeout(**base_kwargs, timeout_sec=1.0)
          self.assertTrue(res.success)
          self.assertAlmostEqual(res.fun, 0.0)
          self.assertAlmostEqual(res.x.item(), 0.0)
          self.assertEqual(res.nit, 2)  # quadratic approx. is exact
  
      with self.subTest("test w/ binding timeout"):
          res = minimize_with_timeout(
              **base_kwargs, args=(1e-2,), timeout_sec=1e-4
          )
          self.assertFalse(res.success)
          self.assertEqual(
              res.nit, 1
          )  # only one call to the callback is made
  
      # set up callback with mutable object to verify callback execution
      check_set = set()
  
      def callback(x: np.ndarray) -> None:
          check_set.add("foo")
  
      with self.subTest(
          "test w/ callout argument and non-binding timeout"
      ):
          res = minimize_with_timeout(
              **base_kwargs, callback=callback, timeout_sec=1.0
          )
          self.assertTrue(res.success)
          self.assertTrue("foo" in check_set)
  
      # set up callback for method `trust-constr` w/ different signature
      check_set.clear()
      self.assertFalse("foo" in check_set)
  
      def callback_trustconstr(
          x: np.ndarray, state: OptimizeResult
      ) -> bool:
          check_set.add("foo")
          return False
  
      with self.subTest("test `trust-constr` method w/ callback"):
          res = minimize_with_timeout(
              **{**base_kwargs, "method": "trust-constr"},
              callback=callback_trustconstr,
          )
          self.assertTrue(res.success)
          self.assertTrue("foo" in check_set)
  
      # reset check set
      check_set.clear()
      self.assertFalse("foo" in check_set)
  
      with self.subTest(
          "test `trust-constr` method w/ callback and timeout"
      ):
          res = minimize_with_timeout(
              **{**base_kwargs, "method": "trust-constr"},
              args=(1e-3,),
              callback=callback_trustconstr,
              timeout_sec=1e-4,
          )
          self.assertFalse(res.success)
          self.assertTrue("foo" in check_set)
  
      with self.subTest(
          "verify error if passing callable for `method` w/ timeout"
      ):
          with self.assertRaisesRegex(
              NotImplementedError, "Custom callable not supported"
          ):
              minimize_with_timeout(
                  **{
                      **base_kwargs,
                      "method": lambda *args, **kwargs: None,
                  },
                  callback=callback,
                  timeout_sec=1e-4,
              )
  
file_path: botorch/test/optim/utils/test_timeout.py
imports: import time
  import numpy
  from botorch.optim.utils.timeout import minimize_with_timeout
  from botorch.utils.testing import BotorchTestCase
  from scipy.optimize import OptimizeResult
label_desc: Use image node_id 1 for calling the TestMinimizeWithTimeout obj's underlying member method code with example usage: obj.test_minimize_with_timeout() and returns: unknown,  unknown, False