; LLVM IR from amritansh22/Data-Structures-and-Algorithms-in-cpp :: TaylorSeriesByHorner'sRule.ll (Z1eii)

; 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"

@_ZZ1eiiE1s = external hidden global double, align 8

; Function Attrs: mustprogress uwtable
define dso_local noundef double @_Z1eii(i32 noundef %0, i32 noundef %1) #0 {
  %3 = alloca double, align 8
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %6 = load i32, ptr %5, align 4, !tbaa !5
  %7 = icmp eq i32 %6, 0
  br i1 %7, label %8, label %10

8:                                                ; preds = %2
  %9 = load double, ptr @_ZZ1eiiE1s, align 8, !tbaa !9
  store double %9, ptr %3, align 8
  br label %23

10:                                               ; preds = %2
  %11 = load i32, ptr %4, align 4, !tbaa !5
  %12 = sitofp i32 %11 to double
  %13 = load double, ptr @_ZZ1eiiE1s, align 8, !tbaa !9
  %14 = fmul double %12, %13
  %15 = load i32, ptr %5, align 4, !tbaa !5
  %16 = sitofp i32 %15 to double
  %17 = fdiv double %14, %16
  %18 = fadd double 1.000000e+00, %17
  store double %18, ptr @_ZZ1eiiE1s, align 8, !tbaa !9
  %19 = load i32, ptr %4, align 4, !tbaa !5
  %20 = load i32, ptr %5, align 4, !tbaa !5
  %21 = sub nsw i32 %20, 1
  %22 = call noundef double @_Z1eii(i32 noundef %19, i32 noundef %21)
  store double %22, ptr %3, align 8
  br label %23

23:                                               ; preds = %10, %8
  %24 = load double, ptr %3, align 8
  ret double %24
}

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" }

!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 = !{!"double", !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"

@_ZZ1eiiE1s = external hidden local_unnamed_addr global double, align 8

; Function Attrs: mustprogress nofree norecurse nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: none) uwtable
define dso_local noundef double @_Z1eii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  %3 = icmp eq i32 %1, 0
  %.pre = load double, ptr @_ZZ1eiiE1s, align 8, !tbaa !5
  br i1 %3, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %2
  %4 = sitofp i32 %0 to double
  %xtraiter = and i32 %1, 3
  %lcmp.mod.not = icmp eq i32 %xtraiter, 0
  br i1 %lcmp.mod.not, label %tailrecurse.prol.loopexit, label %tailrecurse.prol

tailrecurse.prol:                                 ; preds = %.lr.ph, %tailrecurse.prol
  %.tr67.prol = phi i32 [ %10, %tailrecurse.prol ], [ %1, %.lr.ph ]
  %5 = phi double [ %9, %tailrecurse.prol ], [ %.pre, %.lr.ph ]
  %prol.iter = phi i32 [ %prol.iter.next, %tailrecurse.prol ], [ 0, %.lr.ph ]
  %6 = fmul double %5, %4
  %7 = sitofp i32 %.tr67.prol to double
  %8 = fdiv double %6, %7
  %9 = fadd double %8, 1.000000e+00
  %10 = add nsw i32 %.tr67.prol, -1
  %prol.iter.next = add i32 %prol.iter, 1
  %prol.iter.cmp.not = icmp eq i32 %prol.iter.next, %xtraiter
  br i1 %prol.iter.cmp.not, label %tailrecurse.prol.loopexit, label %tailrecurse.prol, !llvm.loop !9

tailrecurse.prol.loopexit:                        ; preds = %tailrecurse.prol, %.lr.ph
  %.lcssa.unr = phi double [ poison, %.lr.ph ], [ %9, %tailrecurse.prol ]
  %.tr67.unr = phi i32 [ %1, %.lr.ph ], [ %10, %tailrecurse.prol ]
  %.unr = phi double [ %.pre, %.lr.ph ], [ %9, %tailrecurse.prol ]
  %11 = icmp ult i32 %1, 4
  br i1 %11, label %tailrecurse._crit_edge, label %tailrecurse

tailrecurse._crit_edge:                           ; preds = %tailrecurse, %tailrecurse.prol.loopexit
  %.lcssa = phi double [ %.lcssa.unr, %tailrecurse.prol.loopexit ], [ %32, %tailrecurse ]
  store double %.lcssa, ptr @_ZZ1eiiE1s, align 8, !tbaa !5
  br label %._crit_edge

._crit_edge:                                      ; preds = %2, %tailrecurse._crit_edge
  %12 = phi double [ %.lcssa, %tailrecurse._crit_edge ], [ %.pre, %2 ]
  ret double %12

tailrecurse:                                      ; preds = %tailrecurse.prol.loopexit, %tailrecurse
  %.tr67 = phi i32 [ %33, %tailrecurse ], [ %.tr67.unr, %tailrecurse.prol.loopexit ]
  %13 = phi double [ %32, %tailrecurse ], [ %.unr, %tailrecurse.prol.loopexit ]
  %14 = fmul double %13, %4
  %15 = sitofp i32 %.tr67 to double
  %16 = fdiv double %14, %15
  %17 = fadd double %16, 1.000000e+00
  %18 = add nsw i32 %.tr67, -1
  %19 = fmul double %17, %4
  %20 = sitofp i32 %18 to double
  %21 = fdiv double %19, %20
  %22 = fadd double %21, 1.000000e+00
  %23 = add nsw i32 %.tr67, -2
  %24 = fmul double %22, %4
  %25 = sitofp i32 %23 to double
  %26 = fdiv double %24, %25
  %27 = fadd double %26, 1.000000e+00
  %28 = add nsw i32 %.tr67, -3
  %29 = fmul double %27, %4
  %30 = sitofp i32 %28 to double
  %31 = fdiv double %29, %30
  %32 = fadd double %31, 1.000000e+00
  %33 = add nsw i32 %.tr67, -4
  %34 = icmp eq i32 %33, 0
  br i1 %34, label %tailrecurse._crit_edge, label %tailrecurse
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: 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)"}
!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.unroll.disable"}


; Effective O3 passes: GVNPass,GlobalOptPass,IPSCCPPass,InferAlignmentPass,InstCombinePass,InstSimplifyPass,LCSSAPass,LICMPass,LoopRotatePass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass