diff --git a/llvm/lib/Transforms/InstCombine/InstCombineCasts.cpp b/llvm/lib/Transforms/InstCombine/InstCombineCasts.cpp
--- a/llvm/lib/Transforms/InstCombine/InstCombineCasts.cpp
+++ b/llvm/lib/Transforms/InstCombine/InstCombineCasts.cpp
@@ -308,6 +308,10 @@
   Value *Src = CI.getOperand(0);
   Type *Ty = CI.getType();
 
+  if (auto *SrcC = dyn_cast<Constant>(Src))
+    if (Constant *Res = ConstantFoldCastOperand(CI.getOpcode(), SrcC, Ty, DL))
+      return replaceInstUsesWith(CI, Res);
+
   // Try to eliminate a cast of a cast.
   if (auto *CSrc = dyn_cast<CastInst>(Src)) {   // A->B->C cast
     if (Instruction::CastOps NewOpc = isEliminableCastPair(CSrc, &CI)) {
@@ -1243,7 +1247,8 @@
 Instruction *InstCombinerImpl::visitZExt(ZExtInst &Zext) {
   // If this zero extend is only used by a truncate, let the truncate be
   // eliminated before we try to optimize this zext.
-  if (Zext.hasOneUse() && isa<TruncInst>(Zext.user_back()))
+  if (Zext.hasOneUse() && isa<TruncInst>(Zext.user_back()) &&
+      !isa<Constant>(Zext.getOperand(0)))
     return nullptr;
 
   // If one of the common conversion will work, do it.
diff --git a/llvm/lib/Transforms/InstCombine/InstructionCombining.cpp b/llvm/lib/Transforms/InstCombine/InstructionCombining.cpp
--- a/llvm/lib/Transforms/InstCombine/InstructionCombining.cpp
+++ b/llvm/lib/Transforms/InstCombine/InstructionCombining.cpp
@@ -4238,23 +4238,6 @@
     if (!DebugCounter::shouldExecute(VisitCounter))
       continue;
 
-    // Instruction isn't dead, see if we can constant propagate it.
-    if (!I->use_empty() &&
-        (I->getNumOperands() == 0 || isa<Constant>(I->getOperand(0)))) {
-      if (Constant *C = ConstantFoldInstruction(I, DL, &TLI)) {
-        LLVM_DEBUG(dbgs() << "IC: ConstFold to: " << *C << " from: " << *I
-                          << '\n');
-
-        // Add operands to the worklist.
-        replaceInstUsesWith(*I, C);
-        ++NumConstProp;
-        if (isInstructionTriviallyDead(I, &TLI))
-          eraseInstFromFunction(*I);
-        MadeIRChange = true;
-        continue;
-      }
-    }
-
     // See if we can trivially sink this instruction to its user if we can
     // prove that the successor is not executed more frequently than our block.
     // Return the UserBlock if successful.
diff --git a/llvm/test/Transforms/InstCombine/pr38677.ll b/llvm/test/Transforms/InstCombine/pr38677.ll
--- a/llvm/test/Transforms/InstCombine/pr38677.ll
+++ b/llvm/test/Transforms/InstCombine/pr38677.ll
@@ -11,9 +11,8 @@
 ; CHECK:       delay:
 ; CHECK-NEXT:    br label [[FINAL]]
 ; CHECK:       final:
-; CHECK-NEXT:    [[USE2:%.*]] = phi i32 [ 1, [[ENTRY:%.*]] ], [ select (i1 icmp eq (ptr @A, ptr @B), i32 2, i32 1), [[DELAY]] ]
 ; CHECK-NEXT:    store i1 false, ptr [[DST:%.*]], align 1
-; CHECK-NEXT:    ret i32 [[USE2]]
+; CHECK-NEXT:    ret i32 1
 ;
 entry:
   br i1 true, label %final, label %delay