diff --git a/iree/turbine/kernel/wave/constraints.py b/iree/turbine/kernel/wave/constraints.py
index 2bf3e228..83441af0 100644
--- a/iree/turbine/kernel/wave/constraints.py
+++ b/iree/turbine/kernel/wave/constraints.py
@@ -22,6 +22,12 @@ class MMAType(Enum):
     F32_32x32x16_F8 = 3
 
 
+class MMAOperand(Enum):
+    M = 0
+    N = 1
+    K = 2
+
+
 @dataclass
 class Constraint(ABC):
     """
@@ -133,7 +139,7 @@ def compute_access_pattern_using_vector_shapes(
     def apply(
         self,
         dim: IndexSymbol,
-        constraint_index: int,
+        constraint_index: int | MMAOperand,
         elements_per_thread: int | IndexSymbol,
         stride: int,
         is_mma_dim: bool,
@@ -232,11 +238,13 @@ def apply(
                 ]
             case _:
                 raise ValueError("Unsupported MMA type")
-
+        assert isinstance(
+            constraint_index, MMAOperand
+        ), f"Invalid MMA operand {constraint_index}"
         return IndexSequence(
-            offset[constraint_index],
-            size[constraint_index],
-            stride[constraint_index],
+            offset[constraint_index.value],
+            size[constraint_index.value],
+            stride[constraint_index.value],
         )
 
 
diff --git a/iree/turbine/kernel/wave/index_sequence_analysis.py b/iree/turbine/kernel/wave/index_sequence_analysis.py
index 7f417665..ea1b32ae 100644
--- a/iree/turbine/kernel/wave/index_sequence_analysis.py
+++ b/iree/turbine/kernel/wave/index_sequence_analysis.py
@@ -125,12 +125,21 @@ def has_strided_access(node: fx.Node) -> bool:
         custom.graph.erase_node(operator)
 
 
+def preprocess_nodes(
+    constraints: Sequence[Constraint],
+    mma_index: dict[MMA, dict[IndexSymbol, int]],
+    mma_slices: dict[MMA, dict[IndexSymbol, list[fx.Node]]],
+    node: fx.Node,
+):
+    set_vector_shapes(constraints, mma_index, mma_slices, node)
+    set_node_index(constraints, mma_index, mma_slices, node)
+
+
 def set_node_indices(trace: CapturedTrace, constraints: list[Constraint]):
     mma_index, mma_slices = get_mma_dimensional_mapping(
         trace, get_hardware_constraint(constraints)
     )
-    trace.walk(partial(set_vector_shapes, constraints, mma_index, mma_slices))
-    trace.walk(partial(set_node_index, constraints, mma_index, mma_slices))
+    trace.walk(partial(preprocess_nodes, constraints, mma_index, mma_slices))
 
 
 def compute_stride(
diff --git a/iree/turbine/kernel/wave/utils.py b/iree/turbine/kernel/wave/utils.py
index 8fb95ece..b3f229e5 100644
--- a/iree/turbine/kernel/wave/utils.py
+++ b/iree/turbine/kernel/wave/utils.py
@@ -32,6 +32,7 @@
     HardwareConstraint,
     TilingConstraint,
     MMAType,
+    MMAOperand,
 )
 import torch.fx as fx
 import iree.turbine.kernel.lang as tkl
@@ -221,9 +222,9 @@ def is_mma(node):
         k = ((set(lhs_shape) & set(rhs_shape)) - set(acc_shape)).pop()
         if custom not in mapping:
             mapping[custom] = {}
-        mapping[custom][m] = 0
-        mapping[custom][n] = 1
-        mapping[custom][k] = 2
+        mapping[custom][m] = MMAOperand.M
+        mapping[custom][n] = MMAOperand.N
+        mapping[custom][k] = MMAOperand.K
         custom.vector_shapes = {
             m: hardware_constraint.mma_matrix_shapes[0],
             n: hardware_constraint.mma_matrix_shapes[1],