diff --git a/csrc/scheduler/multi_matmul.cpp b/csrc/scheduler/multi_matmul.cpp
index 8eb9ec11586..9389467b48b 100644
--- a/csrc/scheduler/multi_matmul.cpp
+++ b/csrc/scheduler/multi_matmul.cpp
@@ -71,32 +71,23 @@ inline void checkConcreteStaticDim(const AbstractId& abs_id) {
 //! must be set as allocation domain.
 template <bool legacy = true>
 AbstractTensor swizzleSharedMemory(TensorView* shared_mem_tv) {
-  // Set skip to skip all consecutive reduction domains starting from the
-  //  innermost dimension.
+  NVF_ERROR(shared_mem_tv->getMemoryType() == MemoryType::Shared);
   AbstractTensor swizzle_domain(shared_mem_tv->getLoopDomain());
-  int64_t skip = 0;
-  for (int64_t i = (int64_t)swizzle_domain.size() - 1; i >= 0; --i) {
-    if (swizzle_domain[i]->isReduction()) {
-      skip++;
-    } else {
-      break;
-    }
-  }
 
   // Check that the innermost 2 dimensions are concrete and static
   //  sized so that the swizzle function can be defined.
   NVF_ERROR(
-      (int64_t)swizzle_domain.size() >= 2 + skip,
+      (int64_t)swizzle_domain.size() >= 2,
       "At least 2D input (excluding consecutive reduction domains starting from the innermost dim) needed for swizzling, but get ",
       shared_mem_tv->toString());
-  checkConcreteStaticDim(swizzle_domain[-2 - skip].as<IterDomain*>());
-  checkConcreteStaticDim(swizzle_domain[-1 - skip].as<IterDomain*>());
+  checkConcreteStaticDim(swizzle_domain[-2].as<IterDomain*>());
+  checkConcreteStaticDim(swizzle_domain[-1].as<IterDomain*>());
 
   // Extract the constant sizes of the swizzled tile
   const int64_t tile_size_x =
-      swizzle_domain[-2 - skip]->extent()->evaluate().as<int64_t>();
+      swizzle_domain[-2]->extent()->evaluate().as<int64_t>();
   const int64_t tile_size_y =
-      swizzle_domain[-1 - skip]->extent()->evaluate().as<int64_t>();
+      swizzle_domain[-1]->extent()->evaluate().as<int64_t>();
 
   // Only tested for (1) ldmatrix access with sizeof(T) == 16bit (i.e.
   // half/bfloat16) and (2) epilogue general access with sizeof(T) == 32bit
@@ -380,12 +371,12 @@ AbstractTensor swizzleSharedMemory(TensorView* shared_mem_tv) {
   //   -2   -1
   // [row, col]
   if (repeated_pattern_size > 1) {
-    swizzle_domain.split(-2 - skip, repeated_pattern_size);
+    swizzle_domain.split(-2, repeated_pattern_size);
   }
-  swizzle_domain.split(-1 - skip, n_cols);
+  swizzle_domain.split(-1, n_cols);
   //      -4         -3       -2        -1
   // [gigarow id, gigarow, matrix id, matrix]
-  swizzle_domain.split(-2 - skip, num_gigabanks);
+  swizzle_domain.split(-2, num_gigabanks);
   //      -5        -4        -3        -2         -1
   // [gigarow id, gigarow, y outer, gigabank id, matrix]
   // Note that megabanks inside a gigabank are not contiguous, so the gigabank
@@ -436,7 +427,7 @@ AbstractTensor swizzleSharedMemory(TensorView* shared_mem_tv) {
   //      -5        -4        -3        -2         -1
   // [gigarow id, gigarow, y outer, gigabank id, matrix]
   int axis_of_gigarow_id = repeated_pattern_size > 1 ? -5 : -4;
-  swizzle_domain.split(axis_of_gigarow_id - skip, num_gigabanks);
+  swizzle_domain.split(axis_of_gigarow_id, num_gigabanks);
   //     -6     -5     -4       -3        -2         -1
   // [wave id, wave, gigarow, y outer, gigabank id, matrix]
 
@@ -458,29 +449,25 @@ AbstractTensor swizzleSharedMemory(TensorView* shared_mem_tv) {
   // applying the swizzle, and this check is to detect and handle this
   // specific case. We should remove this special handling when we fix our CA
   // mapping.
-  if (shared_mem_tv->getMemoryType() == MemoryType::Shared) {
-    int axis_of_gigarow_id = repeated_pattern_size > 1 ? -5 : -4;
-    using SwizzleTypeMaybeLegacy =
-        std::conditional_t<legacy, Swizzle2DType, SwizzleType>;
-    if (isPowOf2(num_gigabanks)) {
-      swizzle_domain.swizzle(
-          SwizzleTypeMaybeLegacy::XOR, axis_of_gigarow_id - skip, -2 - skip);
-    } else {
-      swizzle_domain.swizzle(
-          SwizzleTypeMaybeLegacy::CyclicShift,
-          axis_of_gigarow_id - skip,
-          -2 - skip);
-    }
+  using SwizzleTypeMaybeLegacy =
+      std::conditional_t<legacy, Swizzle2DType, SwizzleType>;
+  if (isPowOf2(num_gigabanks)) {
+    swizzle_domain.swizzle(SwizzleTypeMaybeLegacy::XOR, axis_of_gigarow_id, -2);
+  } else {
+    swizzle_domain.swizzle(
+        SwizzleTypeMaybeLegacy::CyclicShift, axis_of_gigarow_id, -2);
   }
 
-  if (repeated_pattern_size > 1) {
-    swizzle_domain.merge(-6 - skip);
-  }
-  swizzle_domain.merge(-5 - skip);
+  if (legacy) {
+    if (repeated_pattern_size > 1) {
+      swizzle_domain.merge(-6);
+    }
+    swizzle_domain.merge(-5);
 
-  // merge back tile_size_y
-  swizzle_domain.merge(-3 - skip);
-  swizzle_domain.merge(-2 - skip);
+    // merge back tile_size_y
+    swizzle_domain.merge(-3);
+    swizzle_domain.merge(-2);
+  }
 
   return swizzle_domain;
 }