; LLVM IR from robinrodricks/InspiritImage :: Inspirit.Assurf/clib/rpp/rpp_vecmat.ll (sqrt)

; 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"

%union.anon = type { double }

; 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 speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #1

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

; Function Attrs: nounwind uwtable
define dso_local double @_sqrt(double noundef %0) #2 {
  %2 = alloca double, align 8
  %3 = alloca double, align 8
  %4 = alloca %union.anon, align 8
  %5 = alloca double, align 8
  store double %0, ptr %3, align 8, !tbaa !5
  %6 = load double, ptr %3, align 8, !tbaa !5
  %7 = fcmp olt double %6, 1.000000e-08
  br i1 %7, label %8, label %9

8:                                                ; preds = %1
  store double 0.000000e+00, ptr %2, align 8
  br label %35

9:                                                ; preds = %1
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #3
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #3
  %10 = load double, ptr %3, align 8, !tbaa !5
  %11 = fmul double 5.000000e-01, %10
  store double %11, ptr %5, align 8, !tbaa !5
  %12 = load double, ptr %3, align 8, !tbaa !5
  store double %12, ptr %4, align 8, !tbaa !9
  %13 = load i64, ptr %4, align 8, !tbaa !9
  %14 = ashr i64 %13, 1
  %15 = sub nsw i64 6910470738111508698, %14
  store i64 %15, ptr %4, align 8, !tbaa !9
  %16 = load double, ptr %4, align 8, !tbaa !9
  %17 = load double, ptr %5, align 8, !tbaa !5
  %18 = load double, ptr %4, align 8, !tbaa !9
  %19 = fmul double %17, %18
  %20 = load double, ptr %4, align 8, !tbaa !9
  %21 = fneg double %19
  %22 = call double @llvm.fmuladd.f64(double %21, double %20, double 1.500000e+00)
  %23 = fmul double %16, %22
  store double %23, ptr %4, align 8, !tbaa !9
  %24 = load double, ptr %4, align 8, !tbaa !9
  %25 = load double, ptr %5, align 8, !tbaa !5
  %26 = load double, ptr %4, align 8, !tbaa !9
  %27 = fmul double %25, %26
  %28 = load double, ptr %4, align 8, !tbaa !9
  %29 = fneg double %27
  %30 = call double @llvm.fmuladd.f64(double %29, double %28, double 1.500000e+00)
  %31 = fmul double %24, %30
  store double %31, ptr %4, align 8, !tbaa !9
  %32 = load double, ptr %3, align 8, !tbaa !5
  %33 = load double, ptr %4, align 8, !tbaa !9
  %34 = fmul double %32, %33
  store double %34, ptr %2, align 8
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #3
  br label %35

35:                                               ; preds = %9, %8
  %36 = load double, ptr %2, align 8
  ret double %36
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { 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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!7, !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"

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #0

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local double @_sqrt(double noundef %0) local_unnamed_addr #1 {
  %2 = fcmp olt double %0, 1.000000e-08
  br i1 %2, label %16, label %3

3:                                                ; preds = %1
  %4 = bitcast double %0 to i64
  %5 = ashr i64 %4, 1
  %6 = sub nsw i64 6910470738111508698, %5
  %7 = bitcast i64 %6 to double
  %8 = fmul double %0, -5.000000e-01
  %9 = fmul double %8, %7
  %10 = tail call double @llvm.fmuladd.f64(double %9, double %7, double 1.500000e+00)
  %11 = fmul double %10, %7
  %12 = fmul double %8, %11
  %13 = tail call double @llvm.fmuladd.f64(double %12, double %11, double 1.500000e+00)
  %14 = fmul double %11, %13
  %15 = fmul double %14, %0
  br label %16

16:                                               ; preds = %1, %3
  %.0 = phi double [ %15, %3 ], [ 0.000000e+00, %1 ]
  ret double %.0
}

attributes #0 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #1 = { 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" }

!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,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass