diff --git a/gcc/ChangeLog b/gcc/ChangeLog
index d0a4199be3bf..25129cb5d964 100644
--- a/gcc/ChangeLog
+++ b/gcc/ChangeLog
@@ -1,3 +1,8 @@
+2016-09-30  Richard Biener  <rguenther@suse.de>
+
+	* tree-vrp.c (intersect_ranges): If we failed to handle
+	the intersection choose a constant singleton range if available.
+
 2016-09-30  Richard Biener  <rguenther@suse.de>
 
 	PR tree-optimization/77399
diff --git a/gcc/tree-vrp.c b/gcc/tree-vrp.c
index dbff92f69ea8..7a08be7b2aa8 100644
--- a/gcc/tree-vrp.c
+++ b/gcc/tree-vrp.c
@@ -8555,7 +8555,16 @@ intersect_ranges (enum value_range_type *vr0type,
 
   /* As a fallback simply use { *VRTYPE, *VR0MIN, *VR0MAX } as
      result for the intersection.  That's always a conservative
-     correct estimate.  */
+     correct estimate unless VR1 is a constant singleton range
+     in which case we choose that.  */
+  if (vr1type == VR_RANGE
+      && is_gimple_min_invariant (vr1min)
+      && vrp_operand_equal_p (vr1min, vr1max))
+    {
+      *vr0type = vr1type;
+      *vr0min = vr1min;
+      *vr0max = vr1max;
+    }
 
   return;
 }