diff --git a/optimizers/x86_64.py b/optimizers/x86_64.py
index 89a5009..9c504ee 100644
--- a/optimizers/x86_64.py
+++ b/optimizers/x86_64.py
@@ -120,5 +120,17 @@ class X86_64Optimizer(Optimizer):
 				replace=[
 					Instruction("push", ["x"])
 				]
+			),
+
+			PeepholeRule(
+				match=[
+					Instruction("mov", ["a", "b"]),
+					Instruction("mov", ["c", "d"]),
+					Instruction("cmp", ["a", "d"])
+				],
+				replace=[
+					Instruction("mov", ["c", "d"]),
+					Instruction("cmp", ["b", "c"])
+				]
 			)
 		]
\ No newline at end of file