diff --git a/cranelift/codegen/src/opts/cprop.isle b/cranelift/codegen/src/opts/cprop.isle
index 19f5f2aacdf9..26580a7ea0c8 100644
--- a/cranelift/codegen/src/opts/cprop.isle
+++ b/cranelift/codegen/src/opts/cprop.isle
@@ -198,3 +198,13 @@
 (rule (splat32 n) (splat64 (u64_or n (u64_shl n 32))))
 (decl splat64 (u64) Constant)
 (extern constructor splat64 splat64)
+
+;; Reassociate nested shifts of constants to put constants together for cprop.
+;;
+;; ((A shift b) shift C) ==> ((A shift C) shift b)
+(rule (simplify (ishl ty (ishl ty a@(iconst _ _) b) c@(iconst _ _)))
+      (ishl ty (ishl ty a c) b))
+(rule (simplify (ushr ty (ushr ty a@(iconst _ _) b) c@(iconst _ _)))
+      (ushr ty (ushr ty a c) b))
+(rule (simplify (sshr ty (sshr ty a@(iconst _ _) b) c@(iconst _ _)))
+      (sshr ty (sshr ty a c) b))
diff --git a/cranelift/filetests/filetests/egraph/reassociate-constants-in-shifts.clif b/cranelift/filetests/filetests/egraph/reassociate-constants-in-shifts.clif
new file mode 100644
index 000000000000..9d50399d5b1c
--- /dev/null
+++ b/cranelift/filetests/filetests/egraph/reassociate-constants-in-shifts.clif
@@ -0,0 +1,41 @@
+test optimize
+set opt_level=speed
+target x86_64
+
+;; Test egraph rewrite rules that reassociate constants out of nested shifts.
+
+function %a(i32) -> i32 {
+block0(v0: i32):
+    v1 = iconst.i32 1
+    v2 = ishl v1, v0
+    v3 = iconst.i32 2
+    v4 = ishl v2, v3
+    return v4
+; check:  v6 = iconst.i32 4
+; nextln: v7 = ishl v6, v0
+; check:  return v7
+}
+
+function %b(i32) -> i32 {
+block0(v0: i32):
+    v1 = iconst.i32 8
+    v2 = ushr v1, v0
+    v3 = iconst.i32 2
+    v4 = ushr v2, v3
+    return v4
+; check:  v3 = iconst.i32 2
+; nextln: v6 = ushr v3, v0
+; check:  return v6
+}
+
+function %c(i32) -> i32 {
+block0(v0: i32):
+    v1 = iconst.i32 8
+    v2 = sshr v1, v0
+    v3 = iconst.i32 2
+    v4 = sshr v2, v3
+    return v4
+; check:  v3 = iconst.i32 2
+; nextln: v6 = sshr v3, v0
+; check:  return v6
+}