; LLVM IR from sympiler/nasoq :: src/common/Norm.ll (ZN5nasoq17error_relative_L2EiPdS0_)

; 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: nounwind
declare double @sqrt(double noundef) #1

; Function Attrs: nounwind
declare double @pow(double noundef, double noundef) #1

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef double @_ZN5nasoq17error_relative_L2EiPdS0_(i32 noundef %0, ptr noundef %1, ptr noundef %2) #2 {
  %4 = alloca i32, align 4
  %5 = alloca ptr, align 8
  %6 = alloca ptr, align 8
  %7 = alloca double, align 8
  %8 = alloca double, align 8
  %9 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store ptr %1, ptr %5, align 8, !tbaa !9
  store ptr %2, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #3
  store double 0.000000e+00, ptr %7, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #3
  store double 0.000000e+00, ptr %8, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #3
  store i32 0, ptr %9, align 4, !tbaa !5
  br label %10

10:                                               ; preds = %38, %3
  %11 = load i32, ptr %9, align 4, !tbaa !5
  %12 = load i32, ptr %4, align 4, !tbaa !5
  %13 = icmp slt i32 %11, %12
  br i1 %13, label %15, label %14

14:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #3
  br label %41

15:                                               ; preds = %10
  %16 = load ptr, ptr %5, align 8, !tbaa !9
  %17 = load i32, ptr %9, align 4, !tbaa !5
  %18 = sext i32 %17 to i64
  %19 = getelementptr inbounds double, ptr %16, i64 %18
  %20 = load double, ptr %19, align 8, !tbaa !11
  %21 = load ptr, ptr %6, align 8, !tbaa !9
  %22 = load i32, ptr %9, align 4, !tbaa !5
  %23 = sext i32 %22 to i64
  %24 = getelementptr inbounds double, ptr %21, i64 %23
  %25 = load double, ptr %24, align 8, !tbaa !11
  %26 = fsub double %20, %25
  %27 = call double @pow(double noundef %26, double noundef 2.000000e+00) #3
  %28 = load double, ptr %7, align 8, !tbaa !11
  %29 = fadd double %28, %27
  store double %29, ptr %7, align 8, !tbaa !11
  %30 = load ptr, ptr %5, align 8, !tbaa !9
  %31 = load i32, ptr %9, align 4, !tbaa !5
  %32 = sext i32 %31 to i64
  %33 = getelementptr inbounds double, ptr %30, i64 %32
  %34 = load double, ptr %33, align 8, !tbaa !11
  %35 = call double @pow(double noundef %34, double noundef 2.000000e+00) #3
  %36 = load double, ptr %8, align 8, !tbaa !11
  %37 = fadd double %36, %35
  store double %37, ptr %8, align 8, !tbaa !11
  br label %38

38:                                               ; preds = %15
  %39 = load i32, ptr %9, align 4, !tbaa !5
  %40 = add nsw i32 %39, 1
  store i32 %40, ptr %9, align 4, !tbaa !5
  br label %10, !llvm.loop !13

41:                                               ; preds = %14
  %42 = load double, ptr %7, align 8, !tbaa !11
  %43 = load double, ptr %8, align 8, !tbaa !11
  %44 = fdiv double %42, %43
  %45 = call double @sqrt(double noundef %44) #3
  store double %45, ptr %7, align 8, !tbaa !11
  %46 = load double, ptr %7, align 8, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #3
  ret double %46
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { 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"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !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 nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nofree nounwind memory(write, argmem: readwrite) uwtable
define dso_local noundef double @_ZN5nasoq17error_relative_L2EiPdS0_(i32 noundef %0, ptr nocapture noundef readonly %1, ptr nocapture noundef readonly %2) local_unnamed_addr #1 {
  %4 = icmp sgt i32 %0, 0
  br i1 %4, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %3
  %wide.trip.count = zext nneg i32 %0 to i64
  %xtraiter = and i64 %wide.trip.count, 1
  %5 = icmp eq i32 %0, 1
  br i1 %5, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.preheader.new

.lr.ph.preheader.new:                             ; preds = %.lr.ph.preheader
  %unroll_iter = and i64 %wide.trip.count, 2147483646
  br label %.lr.ph

._crit_edge.loopexit.unr-lcssa:                   ; preds = %.lr.ph, %.lr.ph.preheader
  %.lcssa.ph = phi <2 x double> [ poison, %.lr.ph.preheader ], [ %38, %.lr.ph ]
  %indvars.iv.unr = phi i64 [ 0, %.lr.ph.preheader ], [ %indvars.iv.next.1, %.lr.ph ]
  %.unr = phi <2 x double> [ zeroinitializer, %.lr.ph.preheader ], [ %38, %.lr.ph ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge.loopexit, label %.lr.ph.epil

.lr.ph.epil:                                      ; preds = %._crit_edge.loopexit.unr-lcssa
  %6 = getelementptr inbounds double, ptr %1, i64 %indvars.iv.unr
  %7 = load double, ptr %6, align 8, !tbaa !5
  %8 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.unr
  %9 = load double, ptr %8, align 8, !tbaa !5
  %10 = fsub double %7, %9
  %11 = insertelement <2 x double> poison, double %7, i64 0
  %12 = insertelement <2 x double> %11, double %10, i64 1
  %13 = fmul <2 x double> %12, %12
  %14 = fadd <2 x double> %.unr, %13
  br label %._crit_edge.loopexit

._crit_edge.loopexit:                             ; preds = %._crit_edge.loopexit.unr-lcssa, %.lr.ph.epil
  %.lcssa = phi <2 x double> [ %.lcssa.ph, %._crit_edge.loopexit.unr-lcssa ], [ %14, %.lr.ph.epil ]
  %15 = extractelement <2 x double> %.lcssa, i64 0
  %16 = extractelement <2 x double> %.lcssa, i64 1
  %17 = fdiv double %16, %15
  br label %._crit_edge

._crit_edge:                                      ; preds = %._crit_edge.loopexit, %3
  %18 = phi double [ 0x7FF8000000000000, %3 ], [ %17, %._crit_edge.loopexit ]
  %19 = tail call double @sqrt(double noundef %18) #2
  ret double %19

.lr.ph:                                           ; preds = %.lr.ph, %.lr.ph.preheader.new
  %indvars.iv = phi i64 [ 0, %.lr.ph.preheader.new ], [ %indvars.iv.next.1, %.lr.ph ]
  %20 = phi <2 x double> [ zeroinitializer, %.lr.ph.preheader.new ], [ %38, %.lr.ph ]
  %niter = phi i64 [ 0, %.lr.ph.preheader.new ], [ %niter.next.1, %.lr.ph ]
  %21 = getelementptr inbounds double, ptr %1, i64 %indvars.iv
  %22 = load double, ptr %21, align 8, !tbaa !5
  %23 = getelementptr inbounds double, ptr %2, i64 %indvars.iv
  %24 = load double, ptr %23, align 8, !tbaa !5
  %25 = fsub double %22, %24
  %26 = insertelement <2 x double> poison, double %22, i64 0
  %27 = insertelement <2 x double> %26, double %25, i64 1
  %28 = fmul <2 x double> %27, %27
  %29 = fadd <2 x double> %20, %28
  %indvars.iv.next = or disjoint i64 %indvars.iv, 1
  %30 = getelementptr inbounds double, ptr %1, i64 %indvars.iv.next
  %31 = load double, ptr %30, align 8, !tbaa !5
  %32 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.next
  %33 = load double, ptr %32, align 8, !tbaa !5
  %34 = fsub double %31, %33
  %35 = insertelement <2 x double> poison, double %31, i64 0
  %36 = insertelement <2 x double> %35, double %34, i64 1
  %37 = fmul <2 x double> %36, %36
  %38 = fadd <2 x double> %29, %37
  %indvars.iv.next.1 = add nuw nsw i64 %indvars.iv, 2
  %niter.next.1 = add i64 %niter, 2
  %niter.ncmp.1 = icmp eq i64 %niter.next.1, %unroll_iter
  br i1 %niter.ncmp.1, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph, !llvm.loop !9
}

attributes #0 = { 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 #1 = { mustprogress nofree nounwind memory(write, argmem: readwrite) 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 = !{!"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: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SLPVectorizerPass,SROAPass,SimplifyCFGPass,TailCallElimPass