code: def test_plate_coupling_2():
      #   x x
      #     \\   y y
      #      \\ //
      #        z
      #
      # This results in posterior dependency structure:
      #
      #     x x y y z
      #   x ? ? ? ? ?
      #   x ? ? ? ? ?
      #   y     ? ? ?
      #   y     ? ? ?
  
      def model(data):
          with pyro.plate("p", len(data)):
              x = pyro.sample("x", dist.Normal(0, 1))
              y = pyro.sample("y", dist.Normal(0, 1))
          pyro.sample(
              "z", dist.Normal(x.sum(), y.sum().exp()), obs=data.sum()
          )
  
      data = torch.randn(2)
      actual = get_dependencies(model, (data,))
      expected = {
          "prior_dependencies": {
              "x": {"x": set()},
              "y": {"y": set()},
              "z": {"z": set(), "x": set(), "y": set()},
          },
          "posterior_dependencies": {
              "x": {"x": {"p"}, "y": {"p"}, "z": set()},
              "y": {"y": {"p"}, "z": set()},
          },
      }
      assert actual == expected
  
imports: import pytest
  import torch
  import pyro
  import pyro.distributions
  from pyro.distributions.testing.fakes import NonreparameterizedNormal
  from pyro.infer.inspect import _deep_merge, get_dependencies, get_model_relations
label_desc: Use image node_id 9 for calling a global function with example usage: test_plate_coupling_2() without return types