code: def test_replacements(binomial_model_inference):
      d = pytensor.shared(1)
      approx = binomial_model_inference.approx
      p = approx.model.p
      p_t = p**3
      p_s = approx.sample_node(p_t)
      assert not any(
          isinstance(n.owner.op, pytensor.tensor.random.basic.BetaRV)
          for n in pytensor.graph.ancestors([p_s])
          if n.owner
      ), "p should be replaced"
      if pytensor.config.compute_test_value != "off":
          assert p_s.tag.test_value.shape == p_t.tag.test_value.shape
      sampled = [pm.draw(p_s) for _ in range(100)]
      assert any(
          map(operator.ne, sampled[1:], sampled[:-1])
      )  # stochastic
      p_z = approx.sample_node(p_t, deterministic=False, size=10)
      assert p_z.shape.eval() == (10,)
      try:
          p_z = approx.sample_node(p_t, deterministic=True, size=10)
          assert p_z.shape.eval() == (10,)
      except opvi.NotImplementedInference:
          pass
  
      try:
          p_d = approx.sample_node(p_t, deterministic=True)
          sampled = [pm.draw(p_d) for _ in range(100)]
          assert all(
              map(operator.eq, sampled[1:], sampled[:-1])
          )  # deterministic
      except opvi.NotImplementedInference:
          pass
  
      p_r = approx.sample_node(p_t, deterministic=d)
      d.set_value(1)
      sampled = [pm.draw(p_r) for _ in range(100)]
      assert all(
          map(operator.eq, sampled[1:], sampled[:-1])
      )  # deterministic
      d.set_value(0)
      sampled = [pm.draw(p_r) for _ in range(100)]
      assert any(map(operator.ne, sampled[1:], sampled[:-1]))
  
imports: import io
  import operator
  from contextlib import nullcontext
  import cloudpickle
  import numpy
  import pytensor
  import pytensor.tensor
  import pytest
  import pymc
  import pymc.variational.opvi
  from pymc.pytensorf import intX
  from pymc.variational.inference import ADVI, ASVGD, SVGD, FullRankADVI
  from pymc.variational.opvi import NotImplementedInference
  from tests import models
label_desc: Use image node_id 14 for calling a global function with example usage: test_replacements(binomial_model_inference) without return types