diff --git a/llvm/lib/Analysis/ScalarEvolution.cpp b/llvm/lib/Analysis/ScalarEvolution.cpp
--- a/llvm/lib/Analysis/ScalarEvolution.cpp
+++ b/llvm/lib/Analysis/ScalarEvolution.cpp
@@ -11778,7 +11778,9 @@
   const SCEV *Start = IV->getStart();
 
   // Preserve pointer-typed Start/RHS to pass to isLoopEntryGuardedByCond.
-  // Use integer-typed versions for actual computation.
+  // If we convert to integers, isLoopEntryGuardedByCond will miss some cases.
+  // Use integer-typed versions for actual computation; we can't subtract
+  // pointers in general.
   const SCEV *OrigStart = Start;
   const SCEV *OrigRHS = RHS;
   if (Start->getType()->isPointerTy()) {
@@ -11809,10 +11811,10 @@
   // is End and so the result is as above, and if not max(End,Start) is Start
   // so we get a backedge count of zero.
   const SCEV *BECount = nullptr;
-  auto *StartMinusStride = getMinusSCEV(OrigStart, Stride);
+  auto *OrigStartMinusStride = getMinusSCEV(OrigStart, Stride);
   // Can we prove (max(RHS,Start) > Start - Stride?
-  if (isLoopEntryGuardedByCond(L, Cond, StartMinusStride, Start) &&
-      isLoopEntryGuardedByCond(L, Cond, StartMinusStride, RHS)) {
+  if (isLoopEntryGuardedByCond(L, Cond, OrigStartMinusStride, OrigStart) &&
+      isLoopEntryGuardedByCond(L, Cond, OrigStartMinusStride, OrigRHS)) {
     // In this case, we can use a refined formula for computing backedge taken
     // count.  The general formula remains:
     //   "End-Start /uceiling Stride" where "End = max(RHS,Start)"
@@ -11833,10 +11835,8 @@
     //   Our preconditions trivially imply no overflow in that form.
     const SCEV *MinusOne = getMinusOne(Stride->getType());
     const SCEV *Numerator =
-        getMinusSCEV(getAddExpr(RHS, MinusOne), StartMinusStride);
-    if (!isa<SCEVCouldNotCompute>(Numerator)) {
-      BECount = getUDivExpr(Numerator, Stride);
-    }
+        getMinusSCEV(getAddExpr(RHS, MinusOne), getMinusSCEV(Start, Stride));
+    BECount = getUDivExpr(Numerator, Stride);
   }
 
   const SCEV *BECountIfBackedgeTaken = nullptr;
diff --git a/llvm/test/Analysis/ScalarEvolution/no-wrap-symbolic-becount.ll b/llvm/test/Analysis/ScalarEvolution/no-wrap-symbolic-becount.ll
--- a/llvm/test/Analysis/ScalarEvolution/no-wrap-symbolic-becount.ll
+++ b/llvm/test/Analysis/ScalarEvolution/no-wrap-symbolic-becount.ll
@@ -127,13 +127,13 @@
 ; CHECK-NEXT:    %init = getelementptr inbounds i32, i32* %startptr, i64 2000
 ; CHECK-NEXT:    --> (8000 + %startptr)<nuw> U: [8000,0) S: [8000,0)
 ; CHECK-NEXT:    %iv = phi i32* [ %init, %entry ], [ %iv.next, %loop ]
-; CHECK-NEXT:    --> {(8000 + %startptr)<nuw>,+,4}<nuw><%loop> U: [8000,0) S: [8000,0) Exits: (8000 + (4 * ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + ((8004 + (ptrtoint i32* %startptr to i64))<nuw> umax (ptrtoint i32* %endptr to i64))) /u 4))<nuw> + %startptr) LoopDispositions: { %loop: Computable }
+; CHECK-NEXT:    --> {(8000 + %startptr)<nuw>,+,4}<nuw><%loop> U: [8000,0) S: [8000,0) Exits: (8000 + (4 * ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + (ptrtoint i32* %endptr to i64)) /u 4))<nuw> + %startptr) LoopDispositions: { %loop: Computable }
 ; CHECK-NEXT:    %iv.next = getelementptr inbounds i32, i32* %iv, i64 1
-; CHECK-NEXT:    --> {(8004 + %startptr)<nuw>,+,4}<nuw><%loop> U: [8004,0) S: [8004,0) Exits: (8004 + (4 * ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + ((8004 + (ptrtoint i32* %startptr to i64))<nuw> umax (ptrtoint i32* %endptr to i64))) /u 4))<nuw> + %startptr) LoopDispositions: { %loop: Computable }
+; CHECK-NEXT:    --> {(8004 + %startptr)<nuw>,+,4}<nuw><%loop> U: [8004,0) S: [8004,0) Exits: (8004 + (4 * ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + (ptrtoint i32* %endptr to i64)) /u 4))<nuw> + %startptr) LoopDispositions: { %loop: Computable }
 ; CHECK-NEXT:  Determining loop execution counts for: @pointer_iv_nowrap_guard
-; CHECK-NEXT:  Loop %loop: backedge-taken count is ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + ((8004 + (ptrtoint i32* %startptr to i64))<nuw> umax (ptrtoint i32* %endptr to i64))) /u 4)
+; CHECK-NEXT:  Loop %loop: backedge-taken count is ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + (ptrtoint i32* %endptr to i64)) /u 4)
 ; CHECK-NEXT:  Loop %loop: max backedge-taken count is 4611686018427385902
-; CHECK-NEXT:  Loop %loop: Predicated backedge-taken count is ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + ((8004 + (ptrtoint i32* %startptr to i64))<nuw> umax (ptrtoint i32* %endptr to i64))) /u 4)
+; CHECK-NEXT:  Loop %loop: Predicated backedge-taken count is ((-8001 + (-1 * (ptrtoint i32* %startptr to i64)) + (ptrtoint i32* %endptr to i64)) /u 4)
 ; CHECK-NEXT:   Predicates:
 ; CHECK:       Loop %loop: Trip multiple is 1
 ;