code: def testPowSecondDerivative(self):
      # https://github.com/google/jax/issues/12033
      x, y = 4.0, 0.0
      expected = ((0.0, 1 / x), (1 / x, np.log(x) ** 2))
  
      with self.subTest("jacfwd"):
          result_fwd = jax.jacfwd(jax.jacfwd(lax.pow, (0, 1)), (0, 1))(
              x, y
          )
          self.assertAllClose(result_fwd, expected)
  
      with self.subTest("jacrev"):
          result_rev = jax.jacrev(jax.jacrev(lax.pow, (0, 1)), (0, 1))(
              x, y
          )
          self.assertAllClose(result_rev, expected)
  
      with self.subTest("zero to the zero"):
          result = jax.grad(lax.pow)(0.0, 0.0)
          # TODO(jakevdp) special-case zero in a way that doesn't break other cases
          # See https://github.com/google/jax/pull/12041#issuecomment-1222766191
          # self.assertEqual(result, 0.0)
          self.assertAllClose(result, np.nan)
  
imports: import collections
  from functools import partial
  import itertools
  import math
  from unittest import SkipTest
  from absl.testing import absltest
  from absl.testing import parameterized
  import numpy
  import jax
  from jax import dtypes
  from jax import lax
  from jax._src import test_util
  from jax._src.util import NumpyComplexWarning
  from jax.test_util import check_grads
  from jax import config
label_desc: Use image node_id 17 for calling the LaxAutodiffTest obj's underlying member method code with example usage: obj.testPowSecondDerivative() without return types