; LLVM IR from vmartinv/eldiego :: math/phollards.rho.ll (Z7factRhox)

; 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::map" = type { %"class.std::_Rb_tree" }
%"class.std::_Rb_tree" = type { %"struct.std::_Rb_tree<long long, std::pair<const long long, long long>, std::_Select1st<std::pair<const long long, long long>>, std::less<long long>>::_Rb_tree_impl" }
%"struct.std::_Rb_tree<long long, std::pair<const long long, long long>, std::_Select1st<std::pair<const long long, long long>>, std::less<long long>>::_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 }

@prim = external dso_local global %"class.std::map", align 8

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

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

; Function Attrs: mustprogress uwtable
declare dso_local noundef zeroext i1 @_Z5rabinx(i64 noundef) #1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z3rhox(i64 noundef) #1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z7factRhox(i64 noundef %0) #1 {
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  store i64 %0, ptr %2, align 8, !tbaa !5
  %4 = load i64, ptr %2, align 8, !tbaa !5
  %5 = icmp eq i64 %4, 1
  br i1 %5, label %6, label %7

6:                                                ; preds = %1
  br label %21

7:                                                ; preds = %1
  %8 = load i64, ptr %2, align 8, !tbaa !5
  %9 = call noundef zeroext i1 @_Z5rabinx(i64 noundef %8)
  br i1 %9, label %10, label %14

10:                                               ; preds = %7
  %11 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt3mapIxxSt4lessIxESaISt4pairIKxxEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48) @prim, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %12 = load i64, ptr %11, align 8, !tbaa !5
  %13 = add nsw i64 %12, 1
  store i64 %13, ptr %11, align 8, !tbaa !5
  br label %21

14:                                               ; preds = %7
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #2
  %15 = load i64, ptr %2, align 8, !tbaa !5
  %16 = call noundef i64 @_Z3rhox(i64 noundef %15)
  store i64 %16, ptr %3, align 8, !tbaa !5
  %17 = load i64, ptr %3, align 8, !tbaa !5
  call void @_Z7factRhox(i64 noundef %17)
  %18 = load i64, ptr %2, align 8, !tbaa !5
  %19 = load i64, ptr %3, align 8, !tbaa !5
  %20 = sdiv i64 %18, %19
  call void @_Z7factRhox(i64 noundef %20)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #2
  br label %21

21:                                               ; preds = %14, %10, %6
  ret void
}

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt3mapIxxSt4lessIxESaISt4pairIKxxEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48), ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

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


; 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::map" = type { %"class.std::_Rb_tree" }
%"class.std::_Rb_tree" = type { %"struct.std::_Rb_tree<long long, std::pair<const long long, long long>, std::_Select1st<std::pair<const long long, long long>>, std::less<long long>>::_Rb_tree_impl" }
%"struct.std::_Rb_tree<long long, std::pair<const long long, long long>, std::_Select1st<std::pair<const long long, long long>>, std::less<long long>>::_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 }

@prim = external dso_local global %"class.std::map", align 8

; Function Attrs: mustprogress uwtable
declare dso_local noundef zeroext i1 @_Z5rabinx(i64 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z3rhox(i64 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
define dso_local void @_Z7factRhox(i64 noundef %0) local_unnamed_addr #0 {
  %2 = alloca i64, align 8
  %3 = icmp eq i64 %0, 1
  br i1 %3, label %.loopexit, label %.lr.ph

.lr.ph:                                           ; preds = %1, %tailrecurse
  %.tr3 = phi i64 [ %10, %tailrecurse ], [ %0, %1 ]
  %4 = tail call noundef zeroext i1 @_Z5rabinx(i64 noundef %.tr3)
  br i1 %4, label %5, label %tailrecurse

5:                                                ; preds = %.lr.ph
  store i64 %.tr3, ptr %2, align 8, !tbaa !5
  %6 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt3mapIxxSt4lessIxESaISt4pairIKxxEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48) @prim, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %7 = load i64, ptr %6, align 8, !tbaa !5
  %8 = add nsw i64 %7, 1
  store i64 %8, ptr %6, align 8, !tbaa !5
  br label %.loopexit

tailrecurse:                                      ; preds = %.lr.ph
  %9 = tail call noundef i64 @_Z3rhox(i64 noundef %.tr3)
  tail call void @_Z7factRhox(i64 noundef %9)
  %10 = sdiv i64 %.tr3, %9
  %11 = icmp eq i64 %10, 1
  br i1 %11, label %.loopexit, label %.lr.ph

.loopexit:                                        ; preds = %tailrecurse, %1, %5
  ret void
}

; Function Attrs: mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt3mapIxxSt4lessIxESaISt4pairIKxxEEEixERS3_(ptr noundef nonnull align 8 dereferenceable(48), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #0 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" }

!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"}


; Effective O3 passes: DSEPass,EarlyCSEPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass