Remove unused function replace_nominals_with_dummies

Author: ricardoV94

pytensor/graph/basic.py

@@ -2069,38 +2069,3 @@ def expand(r) -> list[Variable] | None:
             results += (var,)
 
     return results
-
-
-def replace_nominals_with_dummies(inputs, outputs):
-    """Replace nominal inputs with dummy variables.
-
-    When constructing a new graph with nominal inputs from an existing graph,
-    pre-existing nominal inputs need to be replaced with dummy variables
-    beforehand; otherwise, sequential ID ordering (i.e. when nominals are IDed
-    based on the ordered inputs to which they correspond) of the nominals could
-    be broken, and/or circular replacements could manifest.
-
-    FYI: This function assumes that all the nominal variables in the subgraphs
-    between `inputs` and `outputs` are present in `inputs`.
-
-    """
-    existing_nominal_replacements = {
-        i: i.type() for i in inputs if isinstance(i, NominalVariable)
-    }
-
-    if existing_nominal_replacements:
-        # Replace existing nominal variables, because we need to produce an
-        # inner-graph for which the nominal variable IDs correspond exactly
-        # to their input order
-        _ = clone_get_equiv(
-            inputs,
-            outputs,
-            copy_inputs=False,
-            copy_orphans=False,
-            memo=existing_nominal_replacements,
-        )
-
-        outputs = [existing_nominal_replacements[o] for o in outputs]
-        inputs = [existing_nominal_replacements[i] for i in inputs]
-
-    return inputs, outputs