diff --git a/llvm/lib/Transforms/InstCombine/InstCombineAndOrXor.cpp b/llvm/lib/Transforms/InstCombine/InstCombineAndOrXor.cpp
--- a/llvm/lib/Transforms/InstCombine/InstCombineAndOrXor.cpp
+++ b/llvm/lib/Transforms/InstCombine/InstCombineAndOrXor.cpp
@@ -1073,13 +1073,25 @@
 
     // Given  ZeroCmpOp = (A + B)
     //   ZeroCmpOp <= A && ZeroCmpOp != 0  -->  (0-B) <  A
+    //   ZeroCmpOp <  A && ZeroCmpOp != 0  -->  (0-B) <  A  iff A/B != 0
     //   ZeroCmpOp >  A || ZeroCmpOp == 0  -->  (0-B) >= A
+    //   ZeroCmpOp >= A || ZeroCmpOp == 0  -->  (0-B) >= A  iff A/B != 0
     if (UnsignedPred == ICmpInst::ICMP_ULE && EqPred == ICmpInst::ICMP_NE &&
         IsAnd)
       return Builder.CreateICmpULT(Builder.CreateNeg(B), A);
+    if (UnsignedPred == ICmpInst::ICMP_ULT && EqPred == ICmpInst::ICMP_NE &&
+        IsAnd &&
+        (isKnownNonZero(A, Q.DL, /*Depth=*/0, Q.AC, Q.CxtI, Q.DT) ||
+         isKnownNonZero(B, Q.DL, /*Depth=*/0, Q.AC, Q.CxtI, Q.DT)))
+      return Builder.CreateICmpULT(Builder.CreateNeg(B), A);
     if (UnsignedPred == ICmpInst::ICMP_UGT && EqPred == ICmpInst::ICMP_EQ &&
         !IsAnd)
       return Builder.CreateICmpUGE(Builder.CreateNeg(B), A);
+    if (UnsignedPred == ICmpInst::ICMP_UGE && EqPred == ICmpInst::ICMP_EQ &&
+        !IsAnd &&
+        (isKnownNonZero(A, Q.DL, /*Depth=*/0, Q.AC, Q.CxtI, Q.DT) ||
+         isKnownNonZero(B, Q.DL, /*Depth=*/0, Q.AC, Q.CxtI, Q.DT)))
+      return Builder.CreateICmpUGE(Builder.CreateNeg(B), A);
   }
 
   Value *Base, *Offset;
diff --git a/llvm/test/Transforms/InstCombine/result-of-add-of-negative-is-non-zero-and-no-underflow.ll b/llvm/test/Transforms/InstCombine/result-of-add-of-negative-is-non-zero-and-no-underflow.ll
--- a/llvm/test/Transforms/InstCombine/result-of-add-of-negative-is-non-zero-and-no-underflow.ll
+++ b/llvm/test/Transforms/InstCombine/result-of-add-of-negative-is-non-zero-and-no-underflow.ll
@@ -31,10 +31,9 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE]], [[OFFSET:%.*]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[BASE]]
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NOT_NULL]], [[NO_UNDERFLOW]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)
@@ -54,10 +53,9 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE:%.*]], [[OFFSET]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[BASE]]
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NOT_NULL]], [[NO_UNDERFLOW]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %offset, 0
   call void @llvm.assume(i1 %cmp)
@@ -79,9 +77,9 @@
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
 ; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
 ; CHECK-NEXT:    call void @use1(i1 [[NOT_NULL]])
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[BASE]]
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NOT_NULL]], [[NO_UNDERFLOW]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)
@@ -100,11 +98,11 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE]], [[OFFSET:%.*]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
 ; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[BASE]]
 ; CHECK-NEXT:    call void @use1(i1 [[NO_UNDERFLOW]])
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NOT_NULL]], [[NO_UNDERFLOW]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)
@@ -149,10 +147,9 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE]], [[OFFSET:%.*]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[BASE]]
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NO_UNDERFLOW]], [[NOT_NULL]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)
@@ -170,10 +167,9 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE]], [[OFFSET:%.*]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[BASE]]
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NOT_NULL]], [[NO_UNDERFLOW]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)
@@ -191,10 +187,9 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE]], [[OFFSET:%.*]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[BASE]]
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NO_UNDERFLOW]], [[NOT_NULL]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)
@@ -214,10 +209,9 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE]], [[OFFSET:%.*]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp eq i8 [[ADJUSTED]], 0
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp uge i8 [[ADJUSTED]], [[BASE]]
-; CHECK-NEXT:    [[R:%.*]] = or i1 [[NOT_NULL]], [[NO_UNDERFLOW]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[OFFSET]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp uge i8 [[TMP1]], [[BASE]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)
@@ -237,10 +231,9 @@
 ; CHECK-NEXT:    call void @llvm.assume(i1 [[CMP]])
 ; CHECK-NEXT:    [[ADJUSTED:%.*]] = add i8 [[BASE]], [[OFFSET:%.*]]
 ; CHECK-NEXT:    call void @use8(i8 [[ADJUSTED]])
-; CHECK-NEXT:    [[NOT_NULL:%.*]] = icmp ne i8 [[ADJUSTED]], 0
-; CHECK-NEXT:    [[NO_UNDERFLOW:%.*]] = icmp ult i8 [[ADJUSTED]], [[OFFSET]]
-; CHECK-NEXT:    [[R:%.*]] = and i1 [[NOT_NULL]], [[NO_UNDERFLOW]]
-; CHECK-NEXT:    ret i1 [[R]]
+; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 0, [[BASE]]
+; CHECK-NEXT:    [[TMP2:%.*]] = icmp ult i8 [[TMP1]], [[OFFSET]]
+; CHECK-NEXT:    ret i1 [[TMP2]]
 ;
   %cmp = icmp slt i8 %base, 0
   call void @llvm.assume(i1 %cmp)