diff --git a/include/core/SkRandom.h b/include/core/SkRandom.h
index c8d71996e..73dc4917d 100644
--- a/include/core/SkRandom.h
+++ b/include/core/SkRandom.h
@@ -111,6 +111,13 @@ public:
     */
     bool nextBool() { return this->nextU() >= 0x80000000; }
 
+    /** A biased version of nextBool().
+     */
+    bool nextBiasedBool(SkScalar fractionTrue) {
+        SkASSERT(fractionTrue >= 0 && fractionTrue <= SK_Scalar1);
+        return this->nextUScalar1() <= fractionTrue;
+    }
+
     /** Return the next pseudo random number as a signed 64bit value.
     */
     void next64(Sk64* a) {
diff --git a/src/gpu/GrClipMaskManager.cpp b/src/gpu/GrClipMaskManager.cpp
index cf1d2b3c5..2f24b22fc 100644
--- a/src/gpu/GrClipMaskManager.cpp
+++ b/src/gpu/GrClipMaskManager.cpp
@@ -130,7 +130,7 @@ void GrReduceClipStack(const SkClipStack& stack,
             case SkRegion::kIntersect_Op:
                 if (*resultsAreBounded) {
                     // check if the shape intersected contains the entire bounds and therefore can
-                    // be skipped or it is outside the entire bounds and therfore makes the clip
+                    // be skipped or it is outside the entire bounds and therefore makes the clip
                     // empty.
                     if (clip->isInverseFilled()) {
                         if (clip->contains(*resultBounds)) {
@@ -154,8 +154,8 @@ void GrReduceClipStack(const SkClipStack& stack,
                 break;
             case SkRegion::kUnion_Op:
                 if (*resultsAreBounded) {
-                    // If the unioned shape contains the entire bounds then after this element
-                    // the bounds is entirely inside the clip. If the unioned shape is outside the
+                    // If the union-ed shape contains the entire bounds then after this element
+                    // the bounds is entirely inside the clip. If the union-ed shape is outside the
                     // bounds then this op can be skipped.
                     if (clip->isInverseFilled()) {
                         if (clip->contains(*resultBounds)) {
@@ -179,6 +179,10 @@ void GrReduceClipStack(const SkClipStack& stack,
                 break;
             case SkRegion::kXOR_Op:
                 if (*resultsAreBounded) {
+                    // If the bounds is entirely inside the shape being xor-ed then the effect is
+                    // to flip the inside/outside state of every point in the bounds. We may be
+                    // able to take advantage of this in the forward pass. If the xor-ed shape
+                    // doesn't intersect the bounds then it can be skipped.
                     if (clip->isInverseFilled()) {
                         if (clip->contains(*resultBounds)) {
                             skippable = true;
@@ -198,6 +202,10 @@ void GrReduceClipStack(const SkClipStack& stack,
                 }
                 break;
             case SkRegion::kReverseDifference_Op:
+                // When the bounds is entirely within the rev-diff shape then this behaves like xor
+                // and reverses every point inside the bounds. If the shape is completely outside
+                // the bounds then we know after this element is applied that the bounds will be
+                // all outside the current clip.B
                 if (*resultsAreBounded) {
                     if (clip->isInverseFilled()) {
                         if (clip->contains(*resultBounds)) {
@@ -220,7 +228,11 @@ void GrReduceClipStack(const SkClipStack& stack,
                 }
                 break;
             case SkRegion::kReplace_Op:
-                if (*resultsAreBounded) {
+                // Replace will always terminate our walk. We will either begin the forward walk
+                // at the replace op or detect here than the shape is either completely inside
+                // or completely outside the bounds. In this latter case it can be skipped by
+                // setting the correct value for initialState.
+                if (*resultsAreBounded) {                    
                     if (clip->isInverseFilled()) {
                         if (clip->contains(*resultBounds)) {
                             *initialState = kAllOut_InitialState;
@@ -276,9 +288,11 @@ void GrReduceClipStack(const SkClipStack& stack,
             bool skippable = false;
             switch (clip->fOp) {
                 case SkRegion::kDifference_Op:
+                    // subtracting from the empty set yields the empty set.
                     skippable = kAllOut_InitialState == *initialState;
                     break;
                 case SkRegion::kIntersect_Op:
+                    // intersecting with the empty set yields the empty set
                     skippable = kAllOut_InitialState == *initialState;
                     break;
                 case SkRegion::kUnion_Op:
diff --git a/tests/ClipStackTest.cpp b/tests/ClipStackTest.cpp
index 8e4d301c9..8eb1102de 100644
--- a/tests/ClipStackTest.cpp
+++ b/tests/ClipStackTest.cpp
@@ -647,25 +647,44 @@ static void test_iter_rect_merging(skiatest::Reporter* reporter) {
 ///////////////////////////////////////////////////////////////////////////////////////////////////
 
 #if SK_SUPPORT_GPU
+// Functions that add a shape to the clip stack. The shape is computed from a rectangle.
+// AA is always disabled since the clip stack reducer can cause changes in aa rasterization of the
+// stack. A fractional edge repeated in different elements may be rasterized fewer times using the
+// reduced stack.
+typedef void (*AddElementFunc) (const SkRect& rect,
+                                bool invert,
+                                SkRegion::Op op,
+                                SkClipStack* stack);
 
-typedef void (*AddElementFunc) (const SkRect& rect, bool aa, SkRegion::Op op, SkClipStack* stack);
-
-static void add_round_rect(const SkRect& rect, bool aa, SkRegion::Op op, SkClipStack* stack) {
+static void add_round_rect(const SkRect& rect, bool invert, SkRegion::Op op, SkClipStack* stack) {
     SkPath path;
     SkScalar rx = rect.width() / 10;
-    SkScalar ry = rect.width() / 20;
+    SkScalar ry = rect.height() / 20;
     path.addRoundRect(rect, rx, ry);
-    stack->clipDevPath(path, op, aa);
+    if (invert) {
+        path.setFillType(SkPath::kInverseWinding_FillType);
+    }
+    stack->clipDevPath(path, op, false);
 };
 
-static void add_rect(const SkRect& rect, bool aa, SkRegion::Op op, SkClipStack* stack) {
-    stack->clipDevRect(rect, op, aa);
+static void add_rect(const SkRect& rect, bool invert, SkRegion::Op op, SkClipStack* stack) {
+    if (invert) {
+        SkPath path;
+        path.addRect(rect);
+        path.setFillType(SkPath::kInverseWinding_FillType);
+        stack->clipDevPath(path, op, false);
+    } else {
+        stack->clipDevRect(rect, op, false);
+    }
 };
 
-static void add_oval(const SkRect& rect, bool aa, SkRegion::Op op, SkClipStack* stack) {
+static void add_oval(const SkRect& rect, bool invert, SkRegion::Op op, SkClipStack* stack) {
     SkPath path;
     path.addOval(rect);
-    stack->clipDevPath(path, op, aa);
+    if (invert) {
+        path.setFillType(SkPath::kInverseWinding_FillType);
+    }
+    stack->clipDevPath(path, op, false);
 };
 
 static void add_elem_to_stack(const SkClipStack::Iter::Clip& clip, SkClipStack* stack) {
@@ -706,11 +725,12 @@ static void print_clip(const SkClipStack::Iter::Clip& clip) {
         "RD",
         "RP",
     };
-    if (clip.fRect || clip.fPath) {
+    if (NULL != clip.fRect || NULL != clip.fPath) {
         const SkRect& bounds = clip.getBounds();
-        SkDebugf("%s %s [%f %f] x [%f %f]\n",
+        SkDebugf("%s %s %s [%f %f] x [%f %f]\n",
                  kOpStrs[clip.fOp],
-                 (clip.fRect ? "R" : "P"),
+                 (NULL != clip.fRect ? "R" : "P"),
+                 ((NULL != clip.fPath && clip.fPath->isInverseFillType() ? "I" : " ")),
                  bounds.fLeft, bounds.fRight, bounds.fTop, bounds.fBottom);
     } else {
         SkDebugf("EM\n");
@@ -748,6 +768,9 @@ static void test_reduced_clip_stack(skiatest::Reporter* reporter) {
     // the optimizer.
     static const int kReplaceDiv = 4 * kMaxElemsPerTest;
 
+    // We want to test inverse fills. However, they are quite rare in practice so don't over do it.
+    static const SkScalar kFractionInverted = SK_Scalar1 / kMaxElemsPerTest;
+
     static const AddElementFunc kElementFuncs[] = {
         add_rect,
         add_round_rect,
@@ -781,10 +804,8 @@ static void test_reduced_clip_stack(skiatest::Reporter* reporter) {
 
             SkRect rect = SkRect::MakeXYWH(xy.fX, xy.fY, size.fWidth, size.fHeight);
 
-            // AA is always disabled. The optimizer can cause changes in aa rasterization of the
-            // clip stack. A fractional edge repeated in different elements may be rasterized fewer
-            // times using the reduced stack.
-            kElementFuncs[r.nextULessThan(SK_ARRAY_COUNT(kElementFuncs))](rect, false, op, &stack);
+            bool invert = r.nextBiasedBool(kFractionInverted);
+            kElementFuncs[r.nextULessThan(SK_ARRAY_COUNT(kElementFuncs))](rect, invert, op, &stack);
             if (doSave) {
                 stack.save();
             }