Index: llvm/trunk/lib/Transforms/InstCombine/InstCombineSelect.cpp
===================================================================
--- llvm/trunk/lib/Transforms/InstCombine/InstCombineSelect.cpp
+++ llvm/trunk/lib/Transforms/InstCombine/InstCombineSelect.cpp
@@ -1178,20 +1178,38 @@
         return NV;
 
   if (SelectInst *TrueSI = dyn_cast<SelectInst>(TrueVal)) {
+    // select(C, select(C, a, b), c) -> select(C, a, c)
     if (TrueSI->getCondition() == CondVal) {
       if (SI.getTrueValue() == TrueSI->getTrueValue())
         return nullptr;
       SI.setOperand(1, TrueSI->getTrueValue());
       return &SI;
     }
+    // select(C0, select(C1, a, b), b) -> select(C0&C1, a, b)
+    // We choose this as normal form to enable folding on the And and shortening
+    // paths for the values (this helps GetUnderlyingObjects() for example).
+    if (TrueSI->getFalseValue() == FalseVal && TrueSI->hasOneUse()) {
+      Value *And = Builder->CreateAnd(CondVal, TrueSI->getCondition());
+      SI.setOperand(0, And);
+      SI.setOperand(1, TrueSI->getTrueValue());
+      return &SI;
+    }
   }
   if (SelectInst *FalseSI = dyn_cast<SelectInst>(FalseVal)) {
+    // select(C, a, select(C, b, c)) -> select(C, a, c)
     if (FalseSI->getCondition() == CondVal) {
       if (SI.getFalseValue() == FalseSI->getFalseValue())
         return nullptr;
       SI.setOperand(2, FalseSI->getFalseValue());
       return &SI;
     }
+    // select(C0, a, select(C1, a, b)) -> select(C0|C1, a, b)
+    if (FalseSI->getTrueValue() == TrueVal && FalseSI->hasOneUse()) {
+      Value *Or = Builder->CreateOr(CondVal, FalseSI->getCondition());
+      SI.setOperand(0, Or);
+      SI.setOperand(2, FalseSI->getFalseValue());
+      return &SI;
+    }
   }
 
   if (BinaryOperator::isNot(CondVal)) {
Index: llvm/trunk/test/Transforms/InstCombine/select.ll
===================================================================
--- llvm/trunk/test/Transforms/InstCombine/select.ll
+++ llvm/trunk/test/Transforms/InstCombine/select.ll
@@ -1492,3 +1492,31 @@
   %v = load i128* %p
   ret i128 %v
 }
+
+define i32 @test_select_select0(i32 %a, i32 %r0, i32 %r1, i32 %v1, i32 %v2) {
+  ; CHECK-LABEL: @test_select_select0(
+  ; CHECK: %[[C0:.*]] = icmp sge i32 %a, %v1
+  ; CHECK-NEXT: %[[C1:.*]] = icmp slt i32 %a, %v2
+  ; CHECK-NEXT: %[[C:.*]] = and i1 %[[C1]], %[[C0]]
+  ; CHECK-NEXT: %[[SEL:.*]] = select i1 %[[C]], i32 %r0, i32 %r1
+  ; CHECK-NEXT: ret i32 %[[SEL]]
+  %c0 = icmp sge i32 %a, %v1
+  %s0 = select i1 %c0, i32 %r0, i32 %r1
+  %c1 = icmp slt i32 %a, %v2
+  %s1 = select i1 %c1, i32 %s0, i32 %r1
+  ret i32 %s1
+}
+
+define i32 @test_select_select1(i32 %a, i32 %r0, i32 %r1, i32 %v1, i32 %v2) {
+  ; CHECK-LABEL: @test_select_select1(
+  ; CHECK: %[[C0:.*]] = icmp sge i32 %a, %v1
+  ; CHECK-NEXT: %[[C1:.*]] = icmp slt i32 %a, %v2
+  ; CHECK-NEXT: %[[C:.*]] = or i1 %[[C1]], %[[C0]]
+  ; CHECK-NEXT: %[[SEL:.*]] = select i1 %[[C]], i32 %r0, i32 %r1
+  ; CHECK-NEXT: ret i32 %[[SEL]]
+  %c0 = icmp sge i32 %a, %v1
+  %s0 = select i1 %c0, i32 %r0, i32 %r1
+  %c1 = icmp slt i32 %a, %v2
+  %s1 = select i1 %c1, i32 %r0, i32 %s0
+  ret i32 %s1
+}