; LLVM IR from Algo-Phantoms/Algo-Tree :: Code/C++/Kth_Symbol_Grammar.ll (Z18Kth_Symbol_Grammarii)

; 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"

; Function Attrs: mustprogress uwtable
define dso_local noundef i32 @_Z18Kth_Symbol_Grammarii(i32 noundef %0, i32 noundef %1) #0 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %8 = load i32, ptr %4, align 4, !tbaa !5
  %9 = icmp eq i32 %8, 1
  br i1 %9, label %10, label %14

10:                                               ; preds = %2
  %11 = load i32, ptr %5, align 4, !tbaa !5
  %12 = icmp eq i32 %11, 1
  br i1 %12, label %13, label %14

13:                                               ; preds = %10
  store i32 0, ptr %3, align 4
  br label %39

14:                                               ; preds = %10, %2
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #3
  %15 = load i32, ptr %4, align 4, !tbaa !5
  %16 = sub nsw i32 %15, 1
  %17 = call noundef double @_ZSt3powIiiEN9__gnu_cxx9__promoteIDTplcvNS1_IT_Xsr3std12__is_integerIS2_EE7__valueEE6__typeELi0EcvNS1_IT0_Xsr3std12__is_integerIS5_EE7__valueEE6__typeELi0EEXsr3std12__is_integerIS8_EE7__valueEE6__typeES2_S5_(i32 noundef 2, i32 noundef %16)
  %18 = fdiv double %17, 2.000000e+00
  %19 = fptosi double %18 to i32
  store i32 %19, ptr %6, align 4, !tbaa !5
  %20 = load i32, ptr %5, align 4, !tbaa !5
  %21 = load i32, ptr %6, align 4, !tbaa !5
  %22 = icmp sle i32 %20, %21
  br i1 %22, label %23, label %28

23:                                               ; preds = %14
  %24 = load i32, ptr %4, align 4, !tbaa !5
  %25 = sub nsw i32 %24, 1
  %26 = load i32, ptr %5, align 4, !tbaa !5
  %27 = call noundef i32 @_Z18Kth_Symbol_Grammarii(i32 noundef %25, i32 noundef %26)
  store i32 %27, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %38

28:                                               ; preds = %14
  %29 = load i32, ptr %4, align 4, !tbaa !5
  %30 = sub nsw i32 %29, 1
  %31 = load i32, ptr %5, align 4, !tbaa !5
  %32 = load i32, ptr %6, align 4, !tbaa !5
  %33 = sub nsw i32 %31, %32
  %34 = call noundef i32 @_Z18Kth_Symbol_Grammarii(i32 noundef %30, i32 noundef %33)
  %35 = icmp ne i32 %34, 0
  %36 = xor i1 %35, true
  %37 = zext i1 %36 to i32
  store i32 %37, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %38

38:                                               ; preds = %28, %23
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #3
  br label %39

39:                                               ; preds = %38, %13
  %40 = load i32, ptr %3, align 4
  ret i32 %40
}

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

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt3powIiiEN9__gnu_cxx9__promoteIDTplcvNS1_IT_Xsr3std12__is_integerIS2_EE7__valueEE6__typeELi0EcvNS1_IT0_Xsr3std12__is_integerIS5_EE7__valueEE6__typeELi0EEXsr3std12__is_integerIS8_EE7__valueEE6__typeES2_S5_(i32 noundef, i32 noundef) #2

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

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 = { 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 #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"}


; 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"

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef range(i32 0, 2) i32 @_Z18Kth_Symbol_Grammarii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  br label %tailrecurse.outer

tailrecurse.outer:                                ; preds = %.split.us, %2
  %accumulator.tr.ph = phi i32 [ %15, %.split.us ], [ 0, %2 ]
  %.tr.ph = phi i32 [ %.us-phi, %.split.us ], [ %0, %2 ]
  %.tr16.ph = phi i32 [ %14, %.split.us ], [ %1, %2 ]
  %.tr16.ph.fr = freeze i32 %.tr16.ph
  %3 = icmp eq i32 %.tr16.ph.fr, 1
  br i1 %3, label %tailrecurse, label %tailrecurse.us

tailrecurse.us:                                   ; preds = %tailrecurse.outer, %tailrecurse.us
  %.tr.us = phi i32 [ %4, %tailrecurse.us ], [ %.tr.ph, %tailrecurse.outer ]
  %4 = add nsw i32 %.tr.us, -1
  %5 = tail call noundef double @_ZSt3powIiiEN9__gnu_cxx9__promoteIDTplcvNS1_IT_Xsr3std12__is_integerIS2_EE7__valueEE6__typeELi0EcvNS1_IT0_Xsr3std12__is_integerIS5_EE7__valueEE6__typeELi0EEXsr3std12__is_integerIS8_EE7__valueEE6__typeES2_S5_(i32 noundef 2, i32 noundef %4)
  %6 = fmul double %5, 5.000000e-01
  %7 = fptosi double %6 to i32
  %.not.us = icmp sgt i32 %.tr16.ph.fr, %7
  br i1 %.not.us, label %.split.us, label %tailrecurse.us

tailrecurse:                                      ; preds = %tailrecurse.outer, %9
  %.tr = phi i32 [ %10, %9 ], [ %.tr.ph, %tailrecurse.outer ]
  %8 = icmp eq i32 %.tr, 1
  br i1 %8, label %16, label %9

9:                                                ; preds = %tailrecurse
  %10 = add nsw i32 %.tr, -1
  %11 = tail call noundef double @_ZSt3powIiiEN9__gnu_cxx9__promoteIDTplcvNS1_IT_Xsr3std12__is_integerIS2_EE7__valueEE6__typeELi0EcvNS1_IT0_Xsr3std12__is_integerIS5_EE7__valueEE6__typeELi0EEXsr3std12__is_integerIS8_EE7__valueEE6__typeES2_S5_(i32 noundef 2, i32 noundef %10)
  %12 = fmul double %11, 5.000000e-01
  %13 = fptosi double %12 to i32
  %.not = icmp slt i32 %13, 1
  br i1 %.not, label %.split.us, label %tailrecurse

.split.us:                                        ; preds = %tailrecurse.us, %9
  %.us-phi = phi i32 [ %10, %9 ], [ %4, %tailrecurse.us ]
  %.us-phi18 = phi i32 [ %13, %9 ], [ %7, %tailrecurse.us ]
  %14 = sub nsw i32 %.tr16.ph.fr, %.us-phi18
  %15 = xor i32 %accumulator.tr.ph, 1
  br label %tailrecurse.outer

16:                                               ; preds = %tailrecurse
  ret i32 %accumulator.tr.ph
}

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt3powIiiEN9__gnu_cxx9__promoteIDTplcvNS1_IT_Xsr3std12__is_integerIS2_EE7__valueEE6__typeELi0EcvNS1_IT0_Xsr3std12__is_integerIS5_EE7__valueEE6__typeELi0EEXsr3std12__is_integerIS8_EE7__valueEE6__typeES2_S5_(i32 noundef, i32 noundef) local_unnamed_addr #1

attributes #0 = { 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 #1 = { 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" }

!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)"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopInstSimplifyPass,LoopSimplifyCFGPass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass