Index: llvm/trunk/lib/Analysis/ScalarEvolution.cpp
===================================================================
--- llvm/trunk/lib/Analysis/ScalarEvolution.cpp
+++ llvm/trunk/lib/Analysis/ScalarEvolution.cpp
@@ -8693,8 +8693,8 @@
   if (isKnownPredicateViaSplitting(Pred, LHS, RHS))
     return true;
 
-  // Otherwise see what can be done with known constant ranges.
-  return isKnownPredicateViaConstantRanges(Pred, LHS, RHS);
+  // Otherwise see what can be done with some simple reasoning.
+  return isKnownViaSimpleReasoning(Pred, LHS, RHS);
 }
 
 bool ScalarEvolution::isMonotonicPredicate(const SCEVAddRecExpr *LHS,
@@ -8961,7 +8961,7 @@
   // (interprocedural conditions notwithstanding).
   if (!L) return true;
 
-  if (isKnownPredicateViaConstantRanges(Pred, LHS, RHS))
+  if (isKnownViaSimpleReasoning(Pred, LHS, RHS))
     return true;
 
   BasicBlock *Latch = L->getLoopLatch();
@@ -9072,7 +9072,7 @@
   assert(isAvailableAtLoopEntry(RHS, L) &&
          "RHS is not available at Loop Entry");
 
-  if (isKnownPredicateViaConstantRanges(Pred, LHS, RHS))
+  if (isKnownViaSimpleReasoning(Pred, LHS, RHS))
     return true;
 
   // If we cannot prove strict comparison (e.g. a > b), maybe we can prove
@@ -9087,9 +9087,9 @@
 
   if (ProvingStrictComparison) {
     ProvedNonStrictComparison =
-        isKnownPredicateViaConstantRanges(NonStrictPredicate, LHS, RHS);
+        isKnownViaSimpleReasoning(NonStrictPredicate, LHS, RHS);
     ProvedNonEquality =
-        isKnownPredicateViaConstantRanges(ICmpInst::ICMP_NE, LHS, RHS);
+        isKnownViaSimpleReasoning(ICmpInst::ICMP_NE, LHS, RHS);
     if (ProvedNonStrictComparison && ProvedNonEquality)
       return true;
   }
Index: llvm/trunk/test/Transforms/IndVarSimplify/loop-invariant-conditions.ll
===================================================================
--- llvm/trunk/test/Transforms/IndVarSimplify/loop-invariant-conditions.ll
+++ llvm/trunk/test/Transforms/IndVarSimplify/loop-invariant-conditions.ll
@@ -355,6 +355,38 @@
   ret void
 }
 
+; check that we can prove that a recurrency is greater than another recurrency
+; in the same loop, with the same step, and with smaller starting value.
+define void @test12(i64* %inc_ptr) {
+; CHECK-LABEL: @test12
+entry:
+  %inc = load i64, i64* %inc_ptr, !range !0
+  %inc.minus.1 = sub i64 %inc, 1
+  br label %loop
+
+loop:
+  %iv = phi i64 [ %inc, %entry ], [ %iv.next, %backedge ]
+  %iv.minus.1 = phi i64 [ %inc.minus.1, %entry ], [ %iv.minus.1.next, %backedge ]
+  %iv.next = add i64 %iv, 1
+  %iv.minus.1.next = add i64 %iv.minus.1, 1
+  %brcond = icmp sgt i64 %iv.next, %iv.minus.1.next
+  ; CHECK: br i1 true, label %if.true, label %if.false
+  br i1 %brcond, label %if.true, label %if.false
+
+if.true:
+  br label %backedge
+
+if.false:
+  br label %backedge
+
+backedge:
+  %loopcond = icmp slt i64 %iv, 200
+  br i1 %loopcond, label %loop, label %exit
+
+exit:
+  ret void
+}
+
 !1 = !{i64 -1, i64 100}