diff --git a/tests/simd/simple_sum.mlir b/tests/simd/simple_sum.mlir
index c61c146a6..a7c35c927 100644
--- a/tests/simd/simple_sum.mlir
+++ b/tests/simd/simple_sum.mlir
@@ -1,8 +1,12 @@
 // RUN: heir-opt --secretize=entry-function=simple_sum --wrap-generic --canonicalize --cse \
-// RUN:          --full-loop-unroll --cse --canonicalize --insert-rotate \
-// RUN: %s | FileCheck %s
+// RUN:   --full-loop-unroll --insert-rotate --cse --canonicalize \
+// RUN:   --rotate-and-reduce --canonicalize \
+// RUN:   %s | FileCheck %s
 
 // CHECK-LABEL: @simple_sum
+// CHECK: secret.generic
+// CHECK-COUNT-5: tensor_ext.rotate
+// CHECK-NOT: tensor_ext.rotate
 func.func @simple_sum(%arg0: tensor<32xi16> {secret.secret}) -> i16 {
   %c0 = arith.constant 0 : index
   %c0_si16 = arith.constant 0 : i16
diff --git a/tests/tensor_ext/rotate_and_reduce.mlir b/tests/tensor_ext/rotate_and_reduce.mlir
index 126f70577..0694e6f43 100644
--- a/tests/tensor_ext/rotate_and_reduce.mlir
+++ b/tests/tensor_ext/rotate_and_reduce.mlir
@@ -305,3 +305,67 @@ func.func @not_supported_non_tensor_operands(%arg0: tensor<8xi32>) -> i32 {
   %15 = arith.addi %14, %2 : i32
   return %15 : i32
 }
+
+// CHECK-LABEL: @sum_of_linear_rotates
+// CHECK-COUNT-5: tensor_ext.rotate
+// CHECK-NOT: tensor_ext.rotate
+func.func @sum_of_linear_rotates(%arg0: !secret.secret<tensor<32xi16>>) -> !secret.secret<i16> {
+  %c30 = arith.constant 30 : index
+  %c29 = arith.constant 29 : index
+  %c31 = arith.constant 31 : index
+  %c1 = arith.constant 1 : index
+  %0 = secret.generic ins(%arg0 : !secret.secret<tensor<32xi16>>) {
+  ^bb0(%arg1: tensor<32xi16>):
+    %1 = tensor_ext.rotate %arg1, %c1 : tensor<32xi16>, index
+    %2 = arith.addi %1, %arg1 : tensor<32xi16>
+    %3 = tensor_ext.rotate %arg1, %c31 : tensor<32xi16>, index
+    %4 = tensor_ext.rotate %2, %c29 : tensor<32xi16>, index
+    %5 = arith.addi %3, %4 : tensor<32xi16>
+    %6 = arith.addi %5, %arg1 : tensor<32xi16>
+    %7 = tensor_ext.rotate %6, %c30 : tensor<32xi16>, index
+    %8 = arith.addi %3, %7 : tensor<32xi16>
+    %9 = arith.addi %8, %arg1 : tensor<32xi16>
+    %10 = tensor_ext.rotate %9, %c30 : tensor<32xi16>, index
+    %11 = arith.addi %3, %10 : tensor<32xi16>
+    %12 = arith.addi %11, %arg1 : tensor<32xi16>
+    %13 = tensor_ext.rotate %12, %c30 : tensor<32xi16>, index
+    %14 = arith.addi %3, %13 : tensor<32xi16>
+    %15 = arith.addi %14, %arg1 : tensor<32xi16>
+    %16 = tensor_ext.rotate %15, %c30 : tensor<32xi16>, index
+    %17 = arith.addi %3, %16 : tensor<32xi16>
+    %18 = arith.addi %17, %arg1 : tensor<32xi16>
+    %19 = tensor_ext.rotate %18, %c30 : tensor<32xi16>, index
+    %20 = arith.addi %3, %19 : tensor<32xi16>
+    %21 = arith.addi %20, %arg1 : tensor<32xi16>
+    %22 = tensor_ext.rotate %21, %c30 : tensor<32xi16>, index
+    %23 = arith.addi %3, %22 : tensor<32xi16>
+    %24 = arith.addi %23, %arg1 : tensor<32xi16>
+    %25 = tensor_ext.rotate %24, %c30 : tensor<32xi16>, index
+    %26 = arith.addi %3, %25 : tensor<32xi16>
+    %27 = arith.addi %26, %arg1 : tensor<32xi16>
+    %28 = tensor_ext.rotate %27, %c30 : tensor<32xi16>, index
+    %29 = arith.addi %3, %28 : tensor<32xi16>
+    %30 = arith.addi %29, %arg1 : tensor<32xi16>
+    %31 = tensor_ext.rotate %30, %c30 : tensor<32xi16>, index
+    %32 = arith.addi %3, %31 : tensor<32xi16>
+    %33 = arith.addi %32, %arg1 : tensor<32xi16>
+    %34 = tensor_ext.rotate %33, %c30 : tensor<32xi16>, index
+    %35 = arith.addi %3, %34 : tensor<32xi16>
+    %36 = arith.addi %35, %arg1 : tensor<32xi16>
+    %37 = tensor_ext.rotate %36, %c30 : tensor<32xi16>, index
+    %38 = arith.addi %3, %37 : tensor<32xi16>
+    %39 = arith.addi %38, %arg1 : tensor<32xi16>
+    %40 = tensor_ext.rotate %39, %c30 : tensor<32xi16>, index
+    %41 = arith.addi %3, %40 : tensor<32xi16>
+    %42 = arith.addi %41, %arg1 : tensor<32xi16>
+    %43 = tensor_ext.rotate %42, %c30 : tensor<32xi16>, index
+    %44 = arith.addi %3, %43 : tensor<32xi16>
+    %45 = arith.addi %44, %arg1 : tensor<32xi16>
+    %46 = tensor_ext.rotate %45, %c30 : tensor<32xi16>, index
+    %47 = arith.addi %3, %46 : tensor<32xi16>
+    %48 = arith.addi %47, %arg1 : tensor<32xi16>
+    %extracted = tensor.extract %48[%c31] : tensor<32xi16>
+    secret.yield %extracted : i16
+  } -> !secret.secret<i16>
+  return %0 : !secret.secret<i16>
+}