diff --git a/llvm/lib/Analysis/InstructionSimplify.cpp b/llvm/lib/Analysis/InstructionSimplify.cpp
--- a/llvm/lib/Analysis/InstructionSimplify.cpp
+++ b/llvm/lib/Analysis/InstructionSimplify.cpp
@@ -2265,6 +2265,19 @@
        match(Op0, m_c_Xor(m_Not(m_Specific(A)), m_Specific(B)))))
     return Op0;
 
+  // (A | B) | (A ^ B) --> A | B
+  // (B | A) | (A ^ B) --> B | A
+  if (match(Op1, m_c_Xor(m_Value(A), m_Value(B))) &&
+      match(Op0, m_c_Or(m_Specific(A), m_Specific(B))))
+    return Op0;
+
+  // Commute the outer 'or' operands.
+  // (A ^ B) | (A | B) --> A | B
+  // (A ^ B) | (B | A) --> B | A
+  if (match(Op0, m_c_Xor(m_Value(A), m_Value(B))) &&
+      match(Op1, m_c_Or(m_Specific(A), m_Specific(B))))
+    return Op1;
+
   // (~A & B) | ~(A | B) --> ~A
   // (~A & B) | ~(B | A) --> ~A
   // (B & ~A) | ~(A | B) --> ~A