diff --git a/llvm/lib/Transforms/InstCombine/InstCombineCalls.cpp b/llvm/lib/Transforms/InstCombine/InstCombineCalls.cpp
--- a/llvm/lib/Transforms/InstCombine/InstCombineCalls.cpp
+++ b/llvm/lib/Transforms/InstCombine/InstCombineCalls.cpp
@@ -1065,6 +1065,17 @@
       }
     }
 
+    if (IID == Intrinsic::smax || IID == Intrinsic::smin) {
+      // smax (neg nsw X), (neg nsw Y) --> neg nsw (smin X, Y)
+      // smin (neg nsw X), (neg nsw Y) --> neg nsw (smax X, Y)
+      if (match(I0, m_NSWNeg(m_Value(X))) && match(I1, m_NSWNeg(m_Value(Y))) &&
+          (I0->hasOneUse() || I1->hasOneUse())) {
+        Intrinsic::ID InvID = getInverseMinMaxIntrinsic(IID);
+        Value *InvMaxMin = Builder.CreateBinaryIntrinsic(InvID, X, Y);
+        return BinaryOperator::CreateNSWNeg(InvMaxMin);
+      }
+    }
+
     if (match(I0, m_Not(m_Value(X)))) {
       // max (not X), (not Y) --> not (min X, Y)
       Intrinsic::ID InvID = getInverseMinMaxIntrinsic(IID);
diff --git a/llvm/test/Transforms/InstCombine/minmax-intrinsics.ll b/llvm/test/Transforms/InstCombine/minmax-intrinsics.ll
--- a/llvm/test/Transforms/InstCombine/minmax-intrinsics.ll
+++ b/llvm/test/Transforms/InstCombine/minmax-intrinsics.ll
@@ -1033,9 +1033,8 @@
 
 define i8 @neg_neg_nsw_smax(i8 %x, i8 %y) {
 ; CHECK-LABEL: @neg_neg_nsw_smax(
-; CHECK-NEXT:    [[NX:%.*]] = sub nsw i8 0, [[X:%.*]]
-; CHECK-NEXT:    [[NY:%.*]] = sub nsw i8 0, [[Y:%.*]]
-; CHECK-NEXT:    [[M:%.*]] = call i8 @llvm.smax.i8(i8 [[NX]], i8 [[NY]])
+; CHECK-NEXT:    [[TMP1:%.*]] = call i8 @llvm.smin.i8(i8 [[X:%.*]], i8 [[Y:%.*]])
+; CHECK-NEXT:    [[M:%.*]] = sub nsw i8 0, [[TMP1]]
 ; CHECK-NEXT:    ret i8 [[M]]
 ;
   %nx = sub nsw i8 0, %x
@@ -1046,9 +1045,8 @@
 
 define <3 x i8> @neg_neg_nsw_smin(<3 x i8> %x, <3 x i8> %y) {
 ; CHECK-LABEL: @neg_neg_nsw_smin(
-; CHECK-NEXT:    [[NX:%.*]] = sub nsw <3 x i8> zeroinitializer, [[X:%.*]]
-; CHECK-NEXT:    [[NY:%.*]] = sub nsw <3 x i8> zeroinitializer, [[Y:%.*]]
-; CHECK-NEXT:    [[M:%.*]] = call <3 x i8> @llvm.smin.v3i8(<3 x i8> [[NX]], <3 x i8> [[NY]])
+; CHECK-NEXT:    [[TMP1:%.*]] = call <3 x i8> @llvm.smax.v3i8(<3 x i8> [[X:%.*]], <3 x i8> [[Y:%.*]])
+; CHECK-NEXT:    [[M:%.*]] = sub nsw <3 x i8> zeroinitializer, [[TMP1]]
 ; CHECK-NEXT:    ret <3 x i8> [[M]]
 ;
   %nx = sub nsw <3 x i8> zeroinitializer, %x
@@ -1061,8 +1059,8 @@
 ; CHECK-LABEL: @neg_neg_nsw_smax_use0(
 ; CHECK-NEXT:    [[NX:%.*]] = sub nsw i8 0, [[X:%.*]]
 ; CHECK-NEXT:    call void @use(i8 [[NX]])
-; CHECK-NEXT:    [[NY:%.*]] = sub nsw i8 0, [[Y:%.*]]
-; CHECK-NEXT:    [[M:%.*]] = call i8 @llvm.smax.i8(i8 [[NX]], i8 [[NY]])
+; CHECK-NEXT:    [[TMP1:%.*]] = call i8 @llvm.smin.i8(i8 [[X]], i8 [[Y:%.*]])
+; CHECK-NEXT:    [[M:%.*]] = sub nsw i8 0, [[TMP1]]
 ; CHECK-NEXT:    ret i8 [[M]]
 ;
   %nx = sub nsw i8 0, %x
@@ -1074,10 +1072,10 @@
 
 define i8 @neg_neg_nsw_smin_use1(i8 %x, i8 %y) {
 ; CHECK-LABEL: @neg_neg_nsw_smin_use1(
-; CHECK-NEXT:    [[NX:%.*]] = sub nsw i8 0, [[X:%.*]]
 ; CHECK-NEXT:    [[NY:%.*]] = sub nsw i8 0, [[Y:%.*]]
 ; CHECK-NEXT:    call void @use(i8 [[NY]])
-; CHECK-NEXT:    [[M:%.*]] = call i8 @llvm.smin.i8(i8 [[NX]], i8 [[NY]])
+; CHECK-NEXT:    [[TMP1:%.*]] = call i8 @llvm.smax.i8(i8 [[X:%.*]], i8 [[Y]])
+; CHECK-NEXT:    [[M:%.*]] = sub nsw i8 0, [[TMP1]]
 ; CHECK-NEXT:    ret i8 [[M]]
 ;
   %nx = sub nsw i8 0, %x
@@ -1087,6 +1085,8 @@
   ret i8 %m
 }
 
+; negative test - too many uses
+
 define i8 @neg_neg_nsw_smin_use2(i8 %x, i8 %y) {
 ; CHECK-LABEL: @neg_neg_nsw_smin_use2(
 ; CHECK-NEXT:    [[NX:%.*]] = sub nsw i8 0, [[X:%.*]]
@@ -1104,6 +1104,8 @@
   ret i8 %m
 }
 
+; negative test - need nsw on both ops
+
 define i8 @neg_neg_smax(i8 %x, i8 %y) {
 ; CHECK-LABEL: @neg_neg_smax(
 ; CHECK-NEXT:    [[NX:%.*]] = sub i8 0, [[X:%.*]]
@@ -1117,6 +1119,8 @@
   ret i8 %m
 }
 
+; negative test - need nsw on both ops
+
 define i8 @neg_neg_smin(i8 %x, i8 %y) {
 ; CHECK-LABEL: @neg_neg_smin(
 ; CHECK-NEXT:    [[NX:%.*]] = sub i8 0, [[X:%.*]]
@@ -1130,6 +1134,8 @@
   ret i8 %m
 }
 
+; negative test - need signed min/max
+
 define i8 @neg_neg_nsw_umin(i8 %x, i8 %y) {
 ; CHECK-LABEL: @neg_neg_nsw_umin(
 ; CHECK-NEXT:    [[NX:%.*]] = sub nsw i8 0, [[X:%.*]]