code: def test_jit_cache(self):
      compiles = 0
  
      @lift.jit
      def f(scope, x):
          nonlocal compiles
          compiles += 1
          if scope.is_mutable_collection(
              "intermediates"
          ) and not scope.is_mutable_collection("params"):
              scope.put_variable("intermediates", "x", x + 1)
          return nn.dense(scope, x, 1)
  
      x = np.ones((3, 2))
      _, params = init(f)(random.key(0), x)
      init(f)(random.key(0), x)
      self.assertEqual(compiles, 1)
      apply(f)(params, x)
      self.assertEqual(compiles, 2)  # apply should cause a compile
      apply(f)(params, x)
      self.assertEqual(compiles, 2)  # applying again should not
      # edge case where only the implicit return of the jitted functions changes.
      # this should not use the previously cached apply.
      _, state = apply(f, mutable="intermediates")(params, x)
      self.assertEqual(compiles, 3)  # applying again should not
      self.assertEqual(state["intermediates"]["x"].sum(), 3 * 2 * 2)
  
file_path: flax/tests/core/core_lift_test.py
imports: import operator
  import jax
  import numpy
  from absl.testing import absltest
  from jax import numpy
  from jax import random
  from flax import errors
  from flax.core import FrozenDict, apply, copy, init, lift, nn
label_desc: Use image node_id 3 for calling the LiftTest obj's underlying member method code with example usage: obj.test_jit_cache() and returns: nn