diff --git a/aeppl/transforms.py b/aeppl/transforms.py
index b76b7733..85637152 100644
--- a/aeppl/transforms.py
+++ b/aeppl/transforms.py
@@ -10,7 +10,7 @@
 from aesara.graph.fg import FunctionGraph
 from aesara.graph.op import Op
 from aesara.graph.rewriting.basic import GraphRewriter, in2out, node_rewriter
-from aesara.scalar import Add, Exp, Log, Mul, Reciprocal, TrueDiv
+from aesara.scalar import Add, Exp, Log, Mul, Neg, Reciprocal, Sub, TrueDiv
 from aesara.tensor.elemwise import Elemwise
 from aesara.tensor.exceptions import NotScalarConstantError
 from aesara.tensor.rewriting.basic import (
@@ -292,6 +292,56 @@ def measurable_div_to_reciprocal_product(fgraph, node):
         return [at.mul(numerator, at.reciprocal(denominator))]
 
 
+@node_rewriter([Elemwise])
+def measurable_neg_to_product(fgraph, node):
+    """Convert negation of `MeasurableVariable`s to product with `-1`."""
+    if isinstance(node.op.scalar_op, Neg):
+        inp = node.inputs[0]
+        if not (inp.owner and isinstance(inp.owner.op, MeasurableVariable)):
+            return None
+
+        rv_map_feature: Optional[PreserveRVMappings] = getattr(
+            fgraph, "preserve_rv_mappings", None
+        )
+        if rv_map_feature is None:
+            return None  # pragma: no cover
+
+        # Only apply this rewrite if the variable is unvalued
+        if inp in rv_map_feature.rv_values:
+            return None  # pragma: no cover
+
+        return [at.mul(inp, -1.0)]
+
+
+@node_rewriter([Elemwise])
+def measurable_sub_to_neg(fgraph, node):
+    """Convert subtraction involving `MeasurableVariable`s to addition with neg"""
+    if isinstance(node.op.scalar_op, Sub):
+        measurable_vars = [
+            var
+            for var in node.inputs
+            if (var.owner and isinstance(var.owner.op, MeasurableVariable))
+        ]
+        if not measurable_vars:
+            return None  # pragma: no cover
+
+        rv_map_feature: Optional[PreserveRVMappings] = getattr(
+            fgraph, "preserve_rv_mappings", None
+        )
+        if rv_map_feature is None:
+            return None  # pragma: no cover
+
+        # Only apply this rewrite if there is one unvalued MeasurableVariable involved
+        if all(
+            measurable_var in rv_map_feature.rv_values
+            for measurable_var in measurable_vars
+        ):
+            return None  # pragma: no cover
+
+        minuend, subtrahend = node.inputs
+        return [at.add(minuend, at.neg(subtrahend))]
+
+
 @node_rewriter([Elemwise])
 def find_measurable_transforms(
     fgraph: FunctionGraph, node: Node
@@ -383,11 +433,26 @@ def find_measurable_transforms(
 measurable_ir_rewrites_db.register(
     "measurable_div_to_reciprocal_product",
     measurable_div_to_reciprocal_product,
-    -1,
+    -5,
     "basic",
     "transform",
 )
 
+measurable_ir_rewrites_db.register(
+    "measurable_neg_to_product",
+    measurable_neg_to_product,
+    -5,
+    "basic",
+    "transform",
+)
+
+measurable_ir_rewrites_db.register(
+    "measurable_sub_to_neg",
+    measurable_sub_to_neg,
+    -5,
+    "basic",
+    "transform",
+)
 
 measurable_ir_rewrites_db.register(
     "find_measurable_transforms",
diff --git a/tests/test_transforms.py b/tests/test_transforms.py
index afc78d39..fb354f3d 100644
--- a/tests/test_transforms.py
+++ b/tests/test_transforms.py
@@ -591,17 +591,20 @@ def test_log_transform_rv():
 
 
 @pytest.mark.parametrize(
-    "rv_size, loc_type",
+    "rv_size, loc_type, addition",
     [
-        (None, at.scalar),
-        (2, at.vector),
-        ((2, 1), at.col),
+        (None, at.scalar, True),
+        (2, at.vector, False),
+        ((2, 1), at.col, True),
     ],
 )
-def test_loc_transform_rv(rv_size, loc_type):
+def test_loc_transform_rv(rv_size, loc_type, addition):
 
     loc = loc_type("loc")
-    y_rv = loc + at.random.normal(0, 1, size=rv_size, name="base_rv")
+    if addition:
+        y_rv = loc + at.random.normal(0, 1, size=rv_size, name="base_rv")
+    else:
+        y_rv = at.random.normal(0, 1, size=rv_size, name="base_rv") - at.neg(loc)
     y_rv.name = "y"
     y_vv = y_rv.clone()
 
@@ -731,3 +734,24 @@ def test_reciprocal_rv_transform(numerator):
         x_logp_fn(x_test_val),
         sp.stats.invgamma(shape, scale=scale * numerator).logpdf(x_test_val),
     )
+
+
+def test_negated_rv_transform():
+    x_rv = -at.random.halfnormal()
+    x_rv.name = "x"
+
+    x_vv = x_rv.clone()
+    x_logp_fn = aesara.function([x_vv], joint_logprob({x_rv: x_vv}))
+
+    assert np.isclose(x_logp_fn(-1.5), sp.stats.halfnorm.logpdf(1.5))
+
+
+def test_subtracted_rv_transform():
+    # Choose base RV that is assymetric around zero
+    x_rv = 5.0 - at.random.normal(1.0)
+    x_rv.name = "x"
+
+    x_vv = x_rv.clone()
+    x_logp_fn = aesara.function([x_vv], joint_logprob({x_rv: x_vv}))
+
+    assert np.isclose(x_logp_fn(7.3), sp.stats.norm.logpdf(5.0 - 7.3, 1.0))