; LLVM IR from div-bargali/Data-Structures-and-Algorithms :: C++/Algorithms/Mathematical/Square_root.ll (Z13sqrtRecursivedd)

; 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: 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
define dso_local noundef double @_Z13sqrtRecursivedd(double noundef %0, double noundef %1) #1 {
  %3 = alloca double, align 8
  %4 = alloca double, align 8
  %5 = alloca double, align 8
  %6 = alloca double, align 8
  %7 = alloca i32, align 4
  store double %0, ptr %4, align 8, !tbaa !5
  store double %1, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #3
  %8 = load double, ptr %5, align 8, !tbaa !5
  %9 = load double, ptr %4, align 8, !tbaa !5
  %10 = load double, ptr %5, align 8, !tbaa !5
  %11 = fdiv double %9, %10
  %12 = fadd double %8, %11
  %13 = fdiv double %12, 2.000000e+00
  store double %13, ptr %6, align 8, !tbaa !5
  %14 = load double, ptr %6, align 8, !tbaa !5
  %15 = load double, ptr %5, align 8, !tbaa !5
  %16 = fsub double %14, %15
  %17 = call double @llvm.fabs.f64(double %16)
  %18 = load double, ptr %6, align 8, !tbaa !5
  %19 = fmul double 0x3CB0000000000000, %18
  %20 = fcmp olt double %17, %19
  br i1 %20, label %21, label %23

21:                                               ; preds = %2
  %22 = load double, ptr %6, align 8, !tbaa !5
  store double %22, ptr %3, align 8
  store i32 1, ptr %7, align 4
  br label %27

23:                                               ; preds = %2
  %24 = load double, ptr %4, align 8, !tbaa !5
  %25 = load double, ptr %6, align 8, !tbaa !5
  %26 = call noundef double @_Z13sqrtRecursivedd(double noundef %24, double noundef %25)
  store double %26, ptr %3, align 8
  store i32 1, ptr %7, align 4
  br label %27

27:                                               ; preds = %23, %21
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #3
  %28 = load double, ptr %3, align 8
  ret double %28
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fabs.f64(double) #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 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
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 = !{!"double", !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 nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local noundef double @_Z13sqrtRecursivedd(double noundef %0, double noundef %1) local_unnamed_addr #0 {
  br label %tailrecurse

tailrecurse:                                      ; preds = %tailrecurse, %2
  %.tr10 = phi double [ %1, %2 ], [ %5, %tailrecurse ]
  %3 = fdiv double %0, %.tr10
  %4 = fadd double %.tr10, %3
  %5 = fmul double %4, 5.000000e-01
  %6 = fsub double %5, %.tr10
  %7 = tail call double @llvm.fabs.f64(double %6)
  %8 = fmul double %5, 0x3CB0000000000000
  %9 = fcmp olt double %7, %8
  br i1 %9, label %10, label %tailrecurse

10:                                               ; preds = %tailrecurse
  ret double %5
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fabs.f64(double) #1

attributes #0 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) 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 speculatable willreturn memory(none) }

!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: GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,LCSSAPass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass