Index: lib/Transforms/Scalar/LoopStrengthReduce.cpp
===================================================================
--- lib/Transforms/Scalar/LoopStrengthReduce.cpp
+++ lib/Transforms/Scalar/LoopStrengthReduce.cpp
@@ -1048,17 +1048,16 @@
                         const Loop *L,
                         ScalarEvolution &SE, DominatorTree &DT) {
   if (const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(Reg)) {
-    // If this is an addrec for another loop, don't second-guess its addrec phi
-    // nodes. LSR isn't currently smart enough to reason about more than one
-    // loop at a time. LSR has already run on inner loops, will not run on outer
-    // loops, and cannot be expected to change sibling loops.
+    // If this is an addrec for another loop, it should be an invariant
+    // with respect to L since L is the innermost loop (at least
+    // for now LSR only handles innermost loops).
     if (AR->getLoop() != L) {
       // If the AddRec exists, consider it's register free and leave it alone.
       if (isExistingPhi(AR, SE))
         return;
 
-      // Otherwise, do not consider this formula at all.
-      Lose();
+      // Otherwise, it will be an invariant with respect to Loop L.
+      ++NumRegs;
       return;
     }
     AddRecCost += 1; /// TODO: This should be a function of the stride.
Index: test/Transforms/LoopStrengthReduce/nested-loop.ll
===================================================================
--- test/Transforms/LoopStrengthReduce/nested-loop.ll
+++ test/Transforms/LoopStrengthReduce/nested-loop.ll
@@ -0,0 +1,55 @@
+; RUN: opt -loop-reduce -disable-output -debug-only=loop-reduce < %s 2>&1 | FileCheck %s
+; REQUIRES: asserts
+
+target datalayout = "e-m:e-i64:64-f80:128-n8:16:32:64-S128"
+target triple = "x86_64-unknown-linux-gnu"
+
+define void @foo(i32 %size, i32 %nsteps, i32 %hsize, i32* %lined, i8* %maxarray) {
+entry:
+  %cmp215 = icmp sgt i32 %size, 1
+  %t0 = zext i32 %size to i64
+  %t1 = sext i32 %nsteps to i64
+  %sub2 = sub i64 %t0, 2
+  br label %for.body
+
+for.body:                                         ; preds = %for.inc, %entry
+  %indvars.iv2 = phi i64 [ %indvars.iv.next3, %for.inc ], [ 0, %entry ]
+  %t2 = mul nsw i64 %indvars.iv2, %t0
+  br i1 %cmp215, label %for.body2.preheader, label %for.inc
+
+for.body2.preheader:                              ; preds = %for.body
+  br label %for.body2
+
+; CHECK: After filtering out undesirable candidates:
+; CHECK: LSR is examining the following uses:
+; CHECK: LSR Use: Kind=Address
+; For ivuse with induction variables from both inner loop and outer loop, expect that the formula candidates for LSR solving contains the formula with a separate reg used for basic induction variable of inner loop.
+; CHECK: reg({1,+,(zext i32 %size to i64)}<%for.body>) + 1*reg({0,+,1}<%for.body2>)
+
+for.body2:                                        ; preds = %for.body2.preheader, %for.body2
+  %indvars.iv = phi i64 [ 1, %for.body2.preheader ], [ %indvars.iv.next, %for.body2 ]
+  %arrayidx1 = getelementptr inbounds i8, i8* %maxarray, i64 %indvars.iv
+  %v1 = load i8, i8* %arrayidx1, align 1
+  %idx2 = add nsw i64 %indvars.iv, %sub2
+  %arrayidx2 = getelementptr inbounds i8, i8* %maxarray, i64 %idx2
+  %v2 = load i8, i8* %arrayidx2, align 1
+  %tmpv = xor i8 %v1, %v2
+  %t4 = add nsw i64 %t2, %indvars.iv
+  %add.ptr = getelementptr inbounds i8, i8* %maxarray, i64 %t4
+  store i8 %tmpv, i8* %add.ptr, align 1
+  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
+  %wide.trip.count = zext i32 %size to i64
+  %exitcond = icmp ne i64 %indvars.iv.next, %wide.trip.count
+  br i1 %exitcond, label %for.body2, label %for.inc.loopexit
+
+for.inc.loopexit:                                 ; preds = %for.body2
+  br label %for.inc
+
+for.inc:                                          ; preds = %for.inc.loopexit, %for.body
+  %indvars.iv.next3 = add nuw nsw i64 %indvars.iv2, 1
+  %cmp = icmp slt i64 %indvars.iv.next3, %t1
+  br i1 %cmp, label %for.body, label %for.end.loopexit
+
+for.end.loopexit:                                 ; preds = %for.inc
+  ret void
+}