diff --git a/llvm/test/tools/llvm-reduce/granularity-level.ll b/llvm/test/tools/llvm-reduce/granularity-level.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/tools/llvm-reduce/granularity-level.ll
@@ -0,0 +1,30 @@
+; Test that llvm-reduce produces the same output when starting at a higher granularity level.
+;
+; RUN: llvm-reduce --delta-passes=functions,instructions --starting-granularity-level=2 --test FileCheck --test-arg --check-prefixes=CHECK-ALL,CHECK-INTERESTINGNESS --test-arg %s --test-arg --input-file %s -o %t
+; RUN: cat %t | FileCheck -implicit-check-not=uninteresting --check-prefixes=CHECK-ALL,CHECK-FINAL %s
+
+define i32 @uninteresting1() {
+entry:
+  ret i32 0
+}
+
+; CHECK-ALL-LABEL: interesting()
+define i32 @interesting() {
+entry:
+  ; CHECK-INTERESTINGNESS: call i32 @interesting()
+  %call2 = call i32 @interesting()
+  %call = call i32 @uninteresting1()
+  ret i32 5
+}
+
+; CHECK-FINAL-NEXT: entry:
+; CHECK-FINAL-NEXT:   %call2 = call i32 @interesting()
+; CHECK-FINAL-NEXT:   ret i32 5
+; CHECK-FINAL-NEXT: }
+
+define i32 @uninteresting2() {
+entry:
+  ret i32 0
+}
+
+declare void @uninteresting3()
diff --git a/llvm/tools/llvm-reduce/deltas/Delta.cpp b/llvm/tools/llvm-reduce/deltas/Delta.cpp
--- a/llvm/tools/llvm-reduce/deltas/Delta.cpp
+++ b/llvm/tools/llvm-reduce/deltas/Delta.cpp
@@ -27,6 +27,10 @@
     "abort-on-invalid-reduction",
     cl::desc("Abort if any reduction results in invalid IR"));
 
+static cl::opt<unsigned int> StartingGranularityLevel(
+    "starting-granularity-level",
+    cl::desc("Number of times to divide chunks prior to first test"));
+
 void writeOutput(ReducerWorkItem &M, llvm::StringRef Message);
 
 bool isReduced(ReducerWorkItem &M, TestRunner &Test,
@@ -118,6 +122,10 @@
   std::vector<Chunk> ChunksStillConsideredInteresting = {{1, Targets}};
   std::unique_ptr<ReducerWorkItem> ReducedProgram;
 
+  for (unsigned int Level = 0; Level < StartingGranularityLevel; Level++) {
+    increaseGranularity(ChunksStillConsideredInteresting);
+  }
+
   bool FoundAtLeastOneNewUninterestingChunkWithCurrentGranularity;
   do {
     FoundAtLeastOneNewUninterestingChunkWithCurrentGranularity = false;