code: def test_intermediary_hooks_same_on_inductor(self):
      def my_hook(grad, *, k=0):
          return grad + k
  
      class MyMod(torch.nn.Module):
          def forward(self, x):
              y = x.mul(2)
              hook1 = functools.partial(my_hook, k=3)
              hook2 = functools.partial(my_hook, k=4)
              y.register_hook(hook1)
              y.register_hook(hook2)
              z = y.mul(3)
              return (z,)
  
      mod = MyMod()
      x0 = torch.ones(4, requires_grad=True)
      eager_out = mod(x0)
      eager_out[0].backward(torch.ones(4))
  
      x1 = torch.ones(4, requires_grad=True)
      mod_compiled = aot_module_simplified(mod, (x1,), nop)
      aot_out = mod_compiled(x1)
      aot_out[0].backward(torch.ones(4))
  
      x2 = torch.ones(4, requires_grad=True)
      with compiled_autograd.enable(compiler_fn):
          dynamo_out = torch._dynamo.optimize(
              "inductor", nopython=True
          )(mod)(x2)
          dynamo_out[0].backward(torch.ones(4))
  
      self.assertEqual(dynamo_out, aot_out)
      self.assertEqual(dynamo_out, eager_out)
  
      self.assertEqual(x0.grad, x1.grad)
      self.assertEqual(x0.grad, x2.grad)
  
imports: import contextlib
  import functools
  import torch
  import torch._dynamo
  import torch._dynamo.test_case
  import torch._dynamo.testing
  from functorch.compile import nop
  from torch._dynamo import compiled_autograd
  from torch._functorch.aot_autograd import aot_module_simplified
label_desc: Use image node_id 18 for calling the HooksTests obj's underlying member method code with example usage: obj.test_intermediary_hooks_same_on_inductor() and returns: unknown, z