; LLVM IR from imteekay/algorithms :: computer_science/algorithms/dynamic_programming/factorial.ll (Z12factorial_dpi)

; Unoptimized IR (clang -disable-llvm-passes):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl" }
%"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::allocator" = type { i8 }

; Function Attrs: mustprogress uwtable
define dso_local noundef i64 @_Z12factorial_dpi(i32 noundef %0) #0 personality ptr @__gxx_personality_v0 {
  %2 = alloca i32, align 4
  %3 = alloca %"class.std::vector", align 8
  %4 = alloca %"class.std::allocator", align 1
  %5 = alloca ptr, align 8
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  store i32 %0, ptr %2, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 24, ptr %3) #3
  call void @llvm.lifetime.start.p0(i64 1, ptr %4) #3
  call void @_ZNSaIyEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %4) #3
  invoke void @_ZNSt6vectorIySaIyEEC2EmRKS0_(ptr noundef nonnull align 8 dereferenceable(24) %3, i64 noundef 1000000, ptr noundef nonnull align 1 dereferenceable(1) %4)
          to label %8 unwind label %15

8:                                                ; preds = %1
  call void @_ZNSt15__new_allocatorIyED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %4) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr %4) #3
  %9 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %3, i64 noundef 0) #3
  store i64 1, ptr %9, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #3
  store i32 1, ptr %7, align 4, !tbaa !5
  br label %10

10:                                               ; preds = %31, %8
  %11 = load i32, ptr %7, align 4, !tbaa !5
  %12 = load i32, ptr %2, align 4, !tbaa !5
  %13 = icmp sle i32 %11, %12
  br i1 %13, label %19, label %14

14:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #3
  br label %34

15:                                               ; preds = %1
  %16 = landingpad { ptr, i32 }
          cleanup
  %17 = extractvalue { ptr, i32 } %16, 0
  store ptr %17, ptr %5, align 8
  %18 = extractvalue { ptr, i32 } %16, 1
  store i32 %18, ptr %6, align 4
  call void @_ZNSt15__new_allocatorIyED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %4) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr %4) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr %3) #3
  br label %39

19:                                               ; preds = %10
  %20 = load i32, ptr %7, align 4, !tbaa !5
  %21 = sub nsw i32 %20, 1
  %22 = sext i32 %21 to i64
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %3, i64 noundef %22) #3
  %24 = load i64, ptr %23, align 8, !tbaa !9
  %25 = load i32, ptr %7, align 4, !tbaa !5
  %26 = sext i32 %25 to i64
  %27 = mul i64 %24, %26
  %28 = load i32, ptr %7, align 4, !tbaa !5
  %29 = sext i32 %28 to i64
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %3, i64 noundef %29) #3
  store i64 %27, ptr %30, align 8, !tbaa !9
  br label %31

31:                                               ; preds = %19
  %32 = load i32, ptr %7, align 4, !tbaa !5
  %33 = add nsw i32 %32, 1
  store i32 %33, ptr %7, align 4, !tbaa !5
  br label %10, !llvm.loop !11

34:                                               ; preds = %14
  %35 = load i32, ptr %2, align 4, !tbaa !5
  %36 = sext i32 %35 to i64
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %3, i64 noundef %36) #3
  %38 = load i64, ptr %37, align 8, !tbaa !9
  call void @_ZNSt6vectorIySaIyEED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %3) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr %3) #3
  ret i64 %38

39:                                               ; preds = %15
  %40 = load ptr, ptr %5, align 8
  %41 = load i32, ptr %6, align 4
  %42 = insertvalue { ptr, i32 } poison, ptr %40, 0
  %43 = insertvalue { ptr, i32 } %42, i32 %41, 1
  resume { ptr, i32 } %43
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSaIyEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIySaIyEEC2EmRKS0_(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

declare i32 @__gxx_personality_v0(...)

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorIySaIyEED2Ev(ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt15__new_allocatorIyED2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

attributes #0 = { mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long long", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; Optimized IR (opt -passes='default<O3>'):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl" }
%"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl" = type { %"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl_data" }
%"struct.std::_Vector_base<unsigned long long, std::allocator<unsigned long long>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::allocator" = type { i8 }

; Function Attrs: mustprogress uwtable
define dso_local noundef i64 @_Z12factorial_dpi(i32 noundef %0) local_unnamed_addr #0 personality ptr @__gxx_personality_v0 {
  %2 = alloca %"class.std::vector", align 8
  %3 = alloca %"class.std::allocator", align 1
  call void @llvm.lifetime.start.p0(i64 24, ptr nonnull %2) #3
  call void @llvm.lifetime.start.p0(i64 1, ptr nonnull %3) #3
  call void @_ZNSaIyEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %3) #3
  invoke void @_ZNSt6vectorIySaIyEEC2EmRKS0_(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef 1000000, ptr noundef nonnull align 1 dereferenceable(1) %3)
          to label %4 unwind label %10

4:                                                ; preds = %1
  call void @_ZNSt15__new_allocatorIyED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %3) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %3) #3
  %5 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef 0) #3
  store i64 1, ptr %5, align 8, !tbaa !5
  %.not9 = icmp slt i32 %0, 1
  br i1 %.not9, label %._crit_edge, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %4
  %6 = add nuw i32 %0, 1
  %wide.trip.count = zext i32 %6 to i64
  br label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %4
  %7 = sext i32 %0 to i64
  %8 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %7) #3
  %9 = load i64, ptr %8, align 8, !tbaa !5
  call void @_ZNSt6vectorIySaIyEED2Ev(ptr noundef nonnull align 8 dereferenceable(24) %2) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr nonnull %2) #3
  ret i64 %9

10:                                               ; preds = %1
  %11 = landingpad { ptr, i32 }
          cleanup
  call void @_ZNSt15__new_allocatorIyED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %3) #3
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %3) #3
  call void @llvm.lifetime.end.p0(i64 24, ptr nonnull %2) #3
  resume { ptr, i32 } %11

.lr.ph:                                           ; preds = %.lr.ph.preheader, %.lr.ph
  %indvars.iv = phi i64 [ 1, %.lr.ph.preheader ], [ %indvars.iv.next, %.lr.ph ]
  %12 = add nsw i64 %indvars.iv, -1
  %13 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %12) #3
  %14 = load i64, ptr %13, align 8, !tbaa !5
  %15 = mul i64 %14, %indvars.iv
  %16 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %2, i64 noundef %indvars.iv) #3
  store i64 %15, ptr %16, align 8, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !9
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSaIyEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIySaIyEEC2EmRKS0_(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

declare i32 @__gxx_personality_v0(...)

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIySaIyEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt6vectorIySaIyEED2Ev(ptr noundef nonnull align 8 dereferenceable(24)) unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt15__new_allocatorIyED2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #2 align 2

attributes #0 = { mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass