diff --git gcc/match.pd gcc/match.pd
index 1ab2b1c..badb80a 100644
--- gcc/match.pd
+++ gcc/match.pd
@@ -325,6 +325,34 @@ along with GCC; see the file COPYING3.  If not see
  (bit_xor:c (bit_and @0 @1) (bit_ior @0 @1))
  (bit_xor @0 @1))
 
+/* (x ^ y) ^ (x | y) -> x & y */
+(simplify
+ (bit_xor:c (bit_xor @0 @1) (bit_ior @0 @1))
+ (bit_and @0 @1))
+
+/* (x & y) + (x ^ y) -> x | y */
+/* (x & y) | (x ^ y) -> x | y */
+/* (x & y) ^ (x ^ y) -> x | y */
+(for op (plus bit_ior bit_xor)
+ (simplify
+  (op:c (bit_and @0 @1) (bit_xor @0 @1))
+  (bit_ior @0 @1)))
+
+/* (x & y) + (x | y) -> x + y */
+(simplify
+ (plus:c (bit_and @0 @1) (bit_ior @0 @1))
+ (plus @0 @1))
+
+/* (x | y) - (x ^ y) -> x & y */
+(simplify
+ (minus (bit_ior @0 @1) (bit_xor @0 @1))
+ (bit_and @0 @1))
+
+/* (x | y) - (x & y) -> x ^ y */
+(simplify
+ (minus (bit_ior @0 @1) (bit_and @0 @1))
+ (bit_xor @0 @1))
+
 (simplify
  (abs (negate @0))
  (abs @0))
diff --git gcc/testsuite/gcc.dg/fold-ior-1.c gcc/testsuite/gcc.dg/fold-ior-1.c
index e69de29..0358eb5 100644
--- gcc/testsuite/gcc.dg/fold-ior-1.c
+++ gcc/testsuite/gcc.dg/fold-ior-1.c
@@ -0,0 +1,69 @@
+/* { dg-do compile } */
+/* { dg-options "-O -fdump-tree-cddce1" } */
+
+int
+fn1 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = a ^ b;
+  return tem1 | tem2;
+}
+
+int
+fn2 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = a ^ b;
+  return tem1 | tem2;
+}
+
+int
+fn3 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = b ^ a;
+  return tem1 | tem2;
+}
+
+int
+fn4 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = b ^ a;
+  return tem1 | tem2;
+}
+
+int
+fn5 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = a & b;
+  return tem1 | tem2;
+}
+
+int
+fn6 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = a & b;
+  return tem1 | tem2;
+}
+
+int
+fn7 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = b & a;
+  return tem1 | tem2;
+}
+
+int
+fn8 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = b & a;
+  return tem1 | tem2;
+}
+
+/* { dg-final { scan-tree-dump-not " & " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " \\^ " "cddce1" } } */
diff --git gcc/testsuite/gcc.dg/fold-minus-2.c gcc/testsuite/gcc.dg/fold-minus-2.c
index e69de29..6501f2f 100644
--- gcc/testsuite/gcc.dg/fold-minus-2.c
+++ gcc/testsuite/gcc.dg/fold-minus-2.c
@@ -0,0 +1,37 @@
+/* { dg-do compile } */
+/* { dg-options "-O -fdump-tree-cddce1" } */
+
+int
+fn1 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = a ^ b;
+  return tem1 - tem2;
+}
+
+int
+fn2 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = a ^ b;
+  return tem1 - tem2;
+}
+
+int
+fn3 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = b ^ a;
+  return tem1 - tem2;
+}
+
+int
+fn4 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = b ^ a;
+  return tem1 - tem2;
+}
+
+/* { dg-final { scan-tree-dump-not " \\^ " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " \\| " "cddce1" } } */
diff --git gcc/testsuite/gcc.dg/fold-minus-3.c gcc/testsuite/gcc.dg/fold-minus-3.c
index e69de29..e7adce6 100644
--- gcc/testsuite/gcc.dg/fold-minus-3.c
+++ gcc/testsuite/gcc.dg/fold-minus-3.c
@@ -0,0 +1,37 @@
+/* { dg-do compile } */
+/* { dg-options "-O -fdump-tree-cddce1" } */
+
+int
+fn1 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = a & b;
+  return tem1 - tem2;
+}
+
+int
+fn2 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = a & b;
+  return tem1 - tem2;
+}
+
+int
+fn3 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = b & a;
+  return tem1 - tem2;
+}
+
+int
+fn4 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = b & a;
+  return tem1 - tem2;
+}
+
+/* { dg-final { scan-tree-dump-not " \\| " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " & " "cddce1" } } */
diff --git gcc/testsuite/gcc.dg/fold-plus-1.c gcc/testsuite/gcc.dg/fold-plus-1.c
index e69de29..40d6aa2 100644
--- gcc/testsuite/gcc.dg/fold-plus-1.c
+++ gcc/testsuite/gcc.dg/fold-plus-1.c
@@ -0,0 +1,70 @@
+/* { dg-do compile } */
+/* { dg-options "-O -fdump-tree-cddce1" } */
+
+int
+fn1 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = a ^ b;
+  return tem1 + tem2;
+}
+
+int
+fn2 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = a ^ b;
+  return tem1 + tem2;
+}
+
+int
+fn3 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = b ^ a;
+  return tem1 + tem2;
+}
+
+int
+fn4 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = b ^ a;
+  return tem1 + tem2;
+}
+
+int
+fn5 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = a & b;
+  return tem1 + tem2;
+}
+
+int
+fn6 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = a & b;
+  return tem1 + tem2;
+}
+
+int
+fn7 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = b & a;
+  return tem1 + tem2;
+}
+
+int
+fn8 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = b & a;
+  return tem1 + tem2;
+}
+
+/* { dg-final { scan-tree-dump-not " & " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " \\^ " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " \\+ " "cddce1" } } */
diff --git gcc/testsuite/gcc.dg/fold-plus-2.c gcc/testsuite/gcc.dg/fold-plus-2.c
index e69de29..713abf6 100644
--- gcc/testsuite/gcc.dg/fold-plus-2.c
+++ gcc/testsuite/gcc.dg/fold-plus-2.c
@@ -0,0 +1,69 @@
+/* { dg-do compile } */
+/* { dg-options "-O -fdump-tree-cddce1" } */
+
+int
+fn1 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = a | b;
+  return tem1 + tem2;
+}
+
+int
+fn2 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = a | b;
+  return tem1 + tem2;
+}
+
+int
+fn3 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = b | a;
+  return tem1 + tem2;
+}
+
+int
+fn4 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = b | a;
+  return tem1 + tem2;
+}
+
+int
+fn5 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = a & b;
+  return tem1 + tem2;
+}
+
+int
+fn6 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = a & b;
+  return tem1 + tem2;
+}
+
+int
+fn7 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = b & a;
+  return tem1 + tem2;
+}
+
+int
+fn8 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = b & a;
+  return tem1 + tem2;
+}
+
+/* { dg-final { scan-tree-dump-not " & " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " \\| " "cddce1" } } */
diff --git gcc/testsuite/gcc.dg/fold-xor-4.c gcc/testsuite/gcc.dg/fold-xor-4.c
index e69de29..b5a2c48 100644
--- gcc/testsuite/gcc.dg/fold-xor-4.c
+++ gcc/testsuite/gcc.dg/fold-xor-4.c
@@ -0,0 +1,69 @@
+/* { dg-do compile } */
+/* { dg-options "-O -fdump-tree-cddce1" } */
+
+int
+fn1 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = a ^ b;
+  return tem1 ^ tem2;
+}
+
+int
+fn2 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = a ^ b;
+  return tem1 ^ tem2;
+}
+
+int
+fn3 (int a, int b)
+{
+  int tem1 = a & b;
+  int tem2 = b ^ a;
+  return tem1 ^ tem2;
+}
+
+int
+fn4 (int a, int b)
+{
+  int tem1 = b & a;
+  int tem2 = b ^ a;
+  return tem1 ^ tem2;
+}
+
+int
+fn5 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = a & b;
+  return tem1 ^ tem2;
+}
+
+int
+fn6 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = a & b;
+  return tem1 ^ tem2;
+}
+
+int
+fn7 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = b & a;
+  return tem1 ^ tem2;
+}
+
+int
+fn8 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = b & a;
+  return tem1 ^ tem2;
+}
+
+/* { dg-final { scan-tree-dump-not " & " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " \\^ " "cddce1" } } */
diff --git gcc/testsuite/gcc.dg/fold-xor-5.c gcc/testsuite/gcc.dg/fold-xor-5.c
index e69de29..15ee76c 100644
--- gcc/testsuite/gcc.dg/fold-xor-5.c
+++ gcc/testsuite/gcc.dg/fold-xor-5.c
@@ -0,0 +1,69 @@
+/* { dg-do compile } */
+/* { dg-options "-O -fdump-tree-cddce1" } */
+
+int
+fn1 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = a ^ b;
+  return tem1 ^ tem2;
+}
+
+int
+fn2 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = a ^ b;
+  return tem1 ^ tem2;
+}
+
+int
+fn3 (int a, int b)
+{
+  int tem1 = a | b;
+  int tem2 = b ^ a;
+  return tem1 ^ tem2;
+}
+
+int
+fn4 (int a, int b)
+{
+  int tem1 = b | a;
+  int tem2 = b ^ a;
+  return tem1 ^ tem2;
+}
+
+int
+fn5 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = a | b;
+  return tem1 ^ tem2;
+}
+
+int
+fn6 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = a | b;
+  return tem1 ^ tem2;
+}
+
+int
+fn7 (int a, int b)
+{
+  int tem1 = a ^ b;
+  int tem2 = b | a;
+  return tem1 ^ tem2;
+}
+
+int
+fn8 (int a, int b)
+{
+  int tem1 = b ^ a;
+  int tem2 = b | a;
+  return tem1 ^ tem2;
+}
+
+/* { dg-final { scan-tree-dump-not " \\| " "cddce1" } } */
+/* { dg-final { scan-tree-dump-not " \\^ " "cddce1" } } */
