; LLVM IR from rvillegasm/NuMath :: lib/errorFunctions.ll (ZN6numath7relNormERSt6vectorIdSaIdEES3_)

; 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: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZNKSt6vectorIdSaIdEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) #1 align 2

; Function Attrs: nounwind
declare double @pow(double noundef, double noundef) #2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #1 align 2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fabs.f64(double) #3

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

; Function Attrs: nounwind
declare double @sqrt(double noundef) #2

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef double @_ZN6numath7relNormERSt6vectorIdSaIdEES3_(ptr noundef nonnull align 8 dereferenceable(24) %0, ptr noundef nonnull align 8 dereferenceable(24) %1) #1 {
  %3 = alloca ptr, align 8
  %4 = alloca ptr, align 8
  %5 = alloca double, align 8
  %6 = alloca double, align 8
  %7 = alloca i64, align 8
  store ptr %0, ptr %3, align 8, !tbaa !5
  store ptr %1, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #4
  store double 0.000000e+00, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #4
  store double 0.000000e+00, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #4
  store i64 0, ptr %7, align 8, !tbaa !11
  br label %8

8:                                                ; preds = %35, %2
  %9 = load i64, ptr %7, align 8, !tbaa !11
  %10 = load ptr, ptr %3, align 8, !tbaa !5
  %11 = call noundef i64 @_ZNKSt6vectorIdSaIdEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %10) #4
  %12 = icmp ult i64 %9, %11
  br i1 %12, label %14, label %13

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

14:                                               ; preds = %8
  %15 = load ptr, ptr %3, align 8, !tbaa !5
  %16 = load i64, ptr %7, align 8, !tbaa !11
  %17 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %15, i64 noundef %16) #4
  %18 = load double, ptr %17, align 8, !tbaa !9
  %19 = load ptr, ptr %4, align 8, !tbaa !5
  %20 = load i64, ptr %7, align 8, !tbaa !11
  %21 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %19, i64 noundef %20) #4
  %22 = load double, ptr %21, align 8, !tbaa !9
  %23 = fsub double %18, %22
  %24 = call double @llvm.fabs.f64(double %23)
  %25 = call double @pow(double noundef %24, double noundef 2.000000e+00) #4
  %26 = load double, ptr %5, align 8, !tbaa !9
  %27 = fadd double %26, %25
  store double %27, ptr %5, align 8, !tbaa !9
  %28 = load ptr, ptr %3, align 8, !tbaa !5
  %29 = load i64, ptr %7, align 8, !tbaa !11
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %28, i64 noundef %29) #4
  %31 = load double, ptr %30, align 8, !tbaa !9
  %32 = call double @pow(double noundef %31, double noundef 2.000000e+00) #4
  %33 = load double, ptr %6, align 8, !tbaa !9
  %34 = fadd double %33, %32
  store double %34, ptr %6, align 8, !tbaa !9
  br label %35

35:                                               ; preds = %14
  %36 = load i64, ptr %7, align 8, !tbaa !11
  %37 = add i64 %36, 1
  store i64 %37, ptr %7, align 8, !tbaa !11
  br label %8, !llvm.loop !13

38:                                               ; preds = %13
  %39 = load double, ptr %5, align 8, !tbaa !9
  %40 = call double @sqrt(double noundef %39) #4
  %41 = load double, ptr %6, align 8, !tbaa !9
  %42 = call double @sqrt(double noundef %41) #4
  %43 = fdiv double %40, %42
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #4
  ret double %43
}

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 = { nounwind "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 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}


; 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
declare dso_local noundef i64 @_ZNKSt6vectorIdSaIdEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24)) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef double @_ZN6numath7relNormERSt6vectorIdSaIdEES3_(ptr noundef nonnull align 8 dereferenceable(24) %0, ptr noundef nonnull align 8 dereferenceable(24) %1) local_unnamed_addr #0 {
  %3 = tail call noundef i64 @_ZNKSt6vectorIdSaIdEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %0) #2
  %.not = icmp eq i64 %3, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %2
  %4 = phi <2 x double> [ zeroinitializer, %2 ], [ %21, %.lr.ph ]
  %5 = extractelement <2 x double> %4, i64 0
  %6 = tail call double @sqrt(double noundef %5) #2
  %7 = extractelement <2 x double> %4, i64 1
  %8 = tail call double @sqrt(double noundef %7) #2
  %9 = fdiv double %6, %8
  ret double %9

.lr.ph:                                           ; preds = %2, %.lr.ph
  %.017 = phi i64 [ %22, %.lr.ph ], [ 0, %2 ]
  %10 = phi <2 x double> [ %21, %.lr.ph ], [ zeroinitializer, %2 ]
  %11 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %.017) #2
  %12 = load double, ptr %11, align 8, !tbaa !5
  %13 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %1, i64 noundef %.017) #2
  %14 = load double, ptr %13, align 8, !tbaa !5
  %15 = fsub double %12, %14
  %16 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %0, i64 noundef %.017) #2
  %17 = load double, ptr %16, align 8, !tbaa !5
  %18 = insertelement <2 x double> poison, double %15, i64 0
  %19 = insertelement <2 x double> %18, double %17, i64 1
  %20 = fmul <2 x double> %19, %19
  %21 = fadd <2 x double> %10, %20
  %22 = add nuw i64 %.017, 1
  %23 = tail call noundef i64 @_ZNKSt6vectorIdSaIdEE4sizeEv(ptr noundef nonnull align 8 dereferenceable(24) %0) #2
  %24 = icmp ult i64 %22, %23
  br i1 %24, label %.lr.ph, label %._crit_edge, !llvm.loop !9
}

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 = { mustprogress nofree nounwind willreturn memory(write) "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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: CorrelatedValuePropagationPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SLPVectorizerPass,SROAPass,SimplifyCFGPass,TailCallElimPass