diff --git a/pytensor/tensor/rewriting/math.py b/pytensor/tensor/rewriting/math.py
index a814ffdf69..ccb48abf27 100644
--- a/pytensor/tensor/rewriting/math.py
+++ b/pytensor/tensor/rewriting/math.py
@@ -319,7 +319,7 @@ def local_exp_log(fgraph, node):
 @register_specialize
 @node_rewriter([Elemwise])
 def local_exp_log_nan_switch(fgraph, node):
-    # Rewrites of the kind exp(log...(x)) that require a `nan` switch
+    """Rewrites of the kind exp(log...(x)) that require a `nan` switch."""
     x = node.inputs[0]
 
     if not isinstance(node.op, Elemwise):
@@ -330,47 +330,48 @@ def local_exp_log_nan_switch(fgraph, node):
     prev_op = x.owner.op.scalar_op
     node_op = node.op.scalar_op
 
-    # Case for exp(log(x)) -> x
-    if isinstance(prev_op, aes.Log) and isinstance(node_op, aes.Exp):
-        x = x.owner.inputs[0]
-        old_out = node.outputs[0]
-        new_out = switch(ge(x, 0), x, np.asarray(np.nan, old_out.dtype))
-        return [new_out]
-
-    # Case for exp(log1p(x)) -> x + 1
-    if isinstance(prev_op, aes.Log1p) and isinstance(node_op, aes.Exp):
-        x = x.owner.inputs[0]
-        old_out = node.outputs[0]
-        new_out = switch(ge(x, -1), add(1, x), np.asarray(np.nan, old_out.dtype))
-        return [new_out]
-
-    # Case for expm1(log(x)) -> x - 1
-    if isinstance(prev_op, aes.Log) and isinstance(node_op, aes.Expm1):
-        x = x.owner.inputs[0]
-        old_out = node.outputs[0]
-        new_out = switch(ge(x, 0), sub(x, 1), np.asarray(np.nan, old_out.dtype))
-        return [new_out]
+    def prev_is(op_type):
+        return isinstance(prev_op, op_type)
 
-    # Case for expm1(log1p(x)) -> x
-    if isinstance(prev_op, aes.Log1p) and isinstance(node_op, aes.Expm1):
-        x = x.owner.inputs[0]
-        old_out = node.outputs[0]
-        new_out = switch(ge(x, -1), x, np.asarray(np.nan, old_out.dtype))
-        return [new_out]
+    def node_is(op_type):
+        return isinstance(node_op, op_type)
 
-    # Case for exp(log1mexp(x)) -> 1 - exp(x)
-    if isinstance(prev_op, aes_math.Log1mexp) and isinstance(node_op, aes.Exp):
-        x = x.owner.inputs[0]
+    def nan_switch(*, if_, substitute) -> list:
+        """Reused inner function because these cases all have the same fallback."""
         old_out = node.outputs[0]
-        new_out = switch(le(x, 0), sub(1, exp(x)), np.asarray(np.nan, old_out.dtype))
+        nan_fallback = np.asarray(np.nan, old_out.dtype)
+        new_out = switch(if_, substitute, nan_fallback)
         return [new_out]
 
-    # Case for expm1(log1mexp(x)) -> -exp(x)
-    if isinstance(prev_op, aes_math.Log1mexp) and isinstance(node_op, aes.Expm1):
-        x = x.owner.inputs[0]
-        old_out = node.outputs[0]
-        new_out = switch(le(x, 0), neg(exp(x)), np.asarray(np.nan, old_out.dtype))
-        return [new_out]
+    x = x.owner.inputs[0]
+
+    op_map = {
+        aes.Log: {
+            # Case for exp(log(x)) -> x
+            aes.Exp: (ge(x, 0), x),
+            # Case for expm1(log(x)) -> x - 1
+            aes.Expm1: (ge(x, 0), sub(x, 1)),
+        },
+        aes.Log1p: {
+            # Case for exp(log1p(x)) -> x + 1
+            aes.Exp: (ge(x, -1), add(1, x)),
+            # Case for expm1(log1p(x)) -> x
+            aes.Expm1: (ge(x, -1), x),
+        },
+        aes.Log1mexp: {
+            # Case for exp(log1mexp(x)) -> 1 - exp(x)
+            aes.Exp: (le(x, 0), sub(1, exp(x))),
+            # Case for expm1(log1mexp(x)) -> -exp(x)
+            aes.Expm1: (le(x, 0), neg(exp(x))),
+            # Case for log1mexp(log1mexp(x)) -> x
+            aes.Log1mexp: (ge(x, 0), x),
+        },
+    }
+
+    for prev_to_match, node_candidates in op_map.items():
+        for node_to_match, (inequality, substitute) in node_candidates.items():
+            if prev_is(prev_to_match) and node_is(node_to_match):
+                return nan_switch(if_=inequality, substitute=substitution)
 
 
 @register_canonicalize