; LLVM IR from brpapa/algorithms :: notebook/math/factorial-prime-factors.ll (Z26prime_factors_of_factoriali)

; 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<int, std::allocator<int>>::_Vector_impl" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl" = type { %"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::map" = type { %"class.std::_Rb_tree" }
%"class.std::_Rb_tree" = type { %"struct.std::_Rb_tree<int, std::pair<const int, int>, std::_Select1st<std::pair<const int, int>>, std::less<int>>::_Rb_tree_impl" }
%"struct.std::_Rb_tree<int, std::pair<const int, int>, std::_Select1st<std::pair<const int, int>>, std::less<int>>::_Rb_tree_impl" = type { [8 x i8], %"struct.std::_Rb_tree_header" }
%"struct.std::_Rb_tree_header" = type { %"struct.std::_Rb_tree_node_base", i64 }
%"struct.std::_Rb_tree_node_base" = type { i32, ptr, ptr, ptr }
%"class.__gnu_cxx::__normal_iterator" = type { ptr }

@primes = external dso_local global %"class.std::vector", align 8

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

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) #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i32 @_Z10multiplicyii(i32 noundef, i32 noundef) #1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z26prime_factors_of_factoriali(ptr dead_on_unwind noalias writable sret(%"class.std::map") align 8 %0, i32 noundef %1) #2 personality ptr @__gxx_personality_v0 {
  %3 = alloca ptr, align 8
  %4 = alloca i32, align 4
  %5 = alloca i1, align 1
  %6 = alloca ptr, align 8
  %7 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %8 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %9 = alloca i32, align 4
  %10 = alloca ptr, align 8
  %11 = alloca i32, align 4
  store ptr %0, ptr %3, align 8
  store i32 %1, ptr %4, align 4, !tbaa !5
  store i1 false, ptr %5, align 1
  call void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEC2Ev(ptr noundef nonnull align 8 dereferenceable(48) %0) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #4
  store ptr @primes, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #4
  %12 = call ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) @primes) #4
  %13 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %7, i32 0, i32 0
  store ptr %12, ptr %13, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #4
  %14 = call ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) @primes) #4
  %15 = getelementptr inbounds %"class.__gnu_cxx::__normal_iterator", ptr %8, i32 0, i32 0
  store ptr %14, ptr %15, align 8
  br label %16

16:                                               ; preds = %36, %2
  %17 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8) %7, ptr noundef nonnull align 8 dereferenceable(8) %8) #4
  br i1 %17, label %19, label %18

18:                                               ; preds = %16
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #4
  br label %38

19:                                               ; preds = %16
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #4
  %20 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %7) #4
  %21 = load i32, ptr %20, align 4, !tbaa !5
  store i32 %21, ptr %9, align 4, !tbaa !5
  %22 = load i32, ptr %9, align 4, !tbaa !5
  %23 = load i32, ptr %4, align 4, !tbaa !5
  %24 = icmp sle i32 %22, %23
  br i1 %24, label %25, label %35

25:                                               ; preds = %19
  %26 = load i32, ptr %4, align 4, !tbaa !5
  %27 = load i32, ptr %9, align 4, !tbaa !5
  %28 = call noundef i32 @_Z10multiplicyii(i32 noundef %26, i32 noundef %27)
  %29 = invoke noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48) %0, ptr noundef nonnull align 4 dereferenceable(4) %9)
          to label %30 unwind label %31

30:                                               ; preds = %25
  store i32 %28, ptr %29, align 4, !tbaa !5
  br label %35

31:                                               ; preds = %25
  %32 = landingpad { ptr, i32 }
          cleanup
  %33 = extractvalue { ptr, i32 } %32, 0
  store ptr %33, ptr %10, align 8
  %34 = extractvalue { ptr, i32 } %32, 1
  store i32 %34, ptr %11, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #4
  call void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEED2Ev(ptr noundef nonnull align 8 dereferenceable(48) %0) #4
  br label %42

35:                                               ; preds = %30, %19
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #4
  br label %36

36:                                               ; preds = %35
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %7) #4
  br label %16

38:                                               ; preds = %18
  store i1 true, ptr %5, align 1
  %39 = load i1, ptr %5, align 1
  br i1 %39, label %41, label %40

40:                                               ; preds = %38
  call void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEED2Ev(ptr noundef nonnull align 8 dereferenceable(48) %0) #4
  br label %41

41:                                               ; preds = %40, %38
  ret void

42:                                               ; preds = %31
  %43 = load ptr, ptr %10, align 8
  %44 = load i32, ptr %11, align 4
  %45 = insertvalue { ptr, i32 } poison, ptr %43, 0
  %46 = insertvalue { ptr, i32 } %45, i32 %44, 1
  resume { ptr, i32 } %46
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEC2Ev(ptr noundef nonnull align 8 dereferenceable(48)) unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) #1 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48), ptr noundef nonnull align 4 dereferenceable(4)) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEED2Ev(ptr noundef nonnull align 8 dereferenceable(48)) unnamed_addr #1 align 2

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { 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 #3 = { inlinehint 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 #4 = { 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 = !{!"any pointer", !7, i64 0}


; 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<int, std::allocator<int>>::_Vector_impl" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl" = type { %"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" }
%"struct.std::_Vector_base<int, std::allocator<int>>::_Vector_impl_data" = type { ptr, ptr, ptr }
%"class.std::map" = type { %"class.std::_Rb_tree" }
%"class.std::_Rb_tree" = type { %"struct.std::_Rb_tree<int, std::pair<const int, int>, std::_Select1st<std::pair<const int, int>>, std::less<int>>::_Rb_tree_impl" }
%"struct.std::_Rb_tree<int, std::pair<const int, int>, std::_Select1st<std::pair<const int, int>>, std::less<int>>::_Rb_tree_impl" = type { [8 x i8], %"struct.std::_Rb_tree_header" }
%"struct.std::_Rb_tree_header" = type { %"struct.std::_Rb_tree_node_base", i64 }
%"struct.std::_Rb_tree_node_base" = type { i32, ptr, ptr, ptr }
%"class.__gnu_cxx::__normal_iterator" = type { ptr }

@primes = external dso_local global %"class.std::vector", align 8

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

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) #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i32 @_Z10multiplicyii(i32 noundef, i32 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z26prime_factors_of_factoriali(ptr dead_on_unwind noalias nonnull writable sret(%"class.std::map") align 8 %0, i32 noundef %1) local_unnamed_addr #2 personality ptr @__gxx_personality_v0 {
  %3 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %4 = alloca %"class.__gnu_cxx::__normal_iterator", align 8
  %5 = alloca i32, align 4
  tail call void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEC2Ev(ptr noundef nonnull align 8 dereferenceable(48) %0) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #4
  %6 = tail call ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24) @primes) #4
  store ptr %6, ptr %3, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #4
  %7 = tail call ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24) @primes) #4
  store ptr %7, ptr %4, align 8
  %8 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8) %3, ptr noundef nonnull align 8 dereferenceable(8) %4) #4
  br i1 %8, label %.lr.ph, label %._crit_edge

._crit_edge:                                      ; preds = %17, %2
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #4
  ret void

.lr.ph:                                           ; preds = %2, %17
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %5) #4
  %9 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8) %3) #4
  %10 = load i32, ptr %9, align 4, !tbaa !5
  store i32 %10, ptr %5, align 4, !tbaa !5
  %.not = icmp sgt i32 %10, %1
  br i1 %.not, label %17, label %11

11:                                               ; preds = %.lr.ph
  %12 = call noundef i32 @_Z10multiplicyii(i32 noundef %1, i32 noundef %10)
  %13 = invoke noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48) %0, ptr noundef nonnull align 4 dereferenceable(4) %5)
          to label %14 unwind label %15

14:                                               ; preds = %11
  store i32 %12, ptr %13, align 4, !tbaa !5
  br label %17

15:                                               ; preds = %11
  %16 = landingpad { ptr, i32 }
          cleanup
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %5) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #4
  call void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEED2Ev(ptr noundef nonnull align 8 dereferenceable(48) %0) #4
  resume { ptr, i32 } %16

17:                                               ; preds = %14, %.lr.ph
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %5) #4
  %18 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8) %3) #4
  %19 = call noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8) %3, ptr noundef nonnull align 8 dereferenceable(8) %4) #4
  br i1 %19, label %.lr.ph, label %._crit_edge
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEC2Ev(ptr noundef nonnull align 8 dereferenceable(48)) unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE5beginEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local ptr @_ZNSt6vectorIiSaIiEE3endEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN9__gnu_cxxneIPiSt6vectorIiSaIiEEEEbRKNS_17__normal_iteratorIT_T0_EESA_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNK9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEdeEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZN9__gnu_cxx17__normal_iteratorIPiSt6vectorIiSaIiEEEppEv(ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt3mapIiiSt4lessIiESaISt4pairIKiiEEED2Ev(ptr noundef nonnull align 8 dereferenceable(48)) unnamed_addr #1 align 2

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { 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 #3 = { inlinehint 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 #4 = { 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"}


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