; LLVM IR from MinaFaried3/Assiut-University-Training---Newcomers :: i-sheet6_math (Q-Product)

; 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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i64, align 8
  %8 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #4
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %10 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %9, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %11 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %10, ptr noundef nonnull align 8 dereferenceable(8) %4)
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #4
  %12 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %2, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %13 = load i64, ptr %12, align 8, !tbaa !5
  store i64 %13, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #4
  store i64 1, ptr %6, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #4
  %14 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %2, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %15 = load i64, ptr %14, align 8, !tbaa !5
  store i64 %15, ptr %7, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #4
  %16 = load i64, ptr %5, align 8, !tbaa !5
  %17 = trunc i64 %16 to i32
  store i32 %17, ptr %8, align 4, !tbaa !9
  br label %18

18:                                               ; preds = %32, %0
  %19 = load i32, ptr %8, align 4, !tbaa !9
  %20 = sext i32 %19 to i64
  %21 = load i64, ptr %7, align 8, !tbaa !5
  %22 = icmp sle i64 %20, %21
  br i1 %22, label %24, label %23

23:                                               ; preds = %18
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #4
  br label %35

24:                                               ; preds = %18
  %25 = load i32, ptr %8, align 4, !tbaa !9
  %26 = sext i32 %25 to i64
  %27 = load i64, ptr %6, align 8, !tbaa !5
  %28 = mul nsw i64 %27, %26
  store i64 %28, ptr %6, align 8, !tbaa !5
  %29 = load i64, ptr %4, align 8, !tbaa !5
  %30 = load i64, ptr %6, align 8, !tbaa !5
  %31 = srem i64 %30, %29
  store i64 %31, ptr %6, align 8, !tbaa !5
  br label %32

32:                                               ; preds = %24
  %33 = load i32, ptr %8, align 4, !tbaa !9
  %34 = add nsw i32 %33, 1
  store i32 %34, ptr %8, align 4, !tbaa !9
  br label %18, !llvm.loop !11

35:                                               ; preds = %23
  %36 = load i64, ptr %6, align 8, !tbaa !5
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %36)
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #4
  %38 = load i32, ptr %1, align 4
  ret i32 %38
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #3

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #3

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) #2 align 2

attributes #0 = { mustprogress norecurse 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { inlinehint 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 #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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"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"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca i64, align 8
  %2 = alloca i64, align 8
  %3 = alloca i64, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #4
  %4 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %4, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %6 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16) %5, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %7 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %1, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %8 = load i64, ptr %7, align 8, !tbaa !5
  %9 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %1, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %10 = load i64, ptr %9, align 8, !tbaa !5
  %sext = shl i64 %8, 32
  %11 = ashr exact i64 %sext, 32
  %.not11 = icmp slt i64 %10, %11
  br i1 %.not11, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0
  %12 = load i64, ptr %3, align 8, !tbaa !5
  %13 = add i64 %10, 1
  %14 = sub i64 %13, %11
  %15 = sub i64 %10, %11
  %xtraiter = and i64 %14, 3
  %16 = icmp ult i64 %15, 3
  br i1 %16, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.new

.lr.ph.new:                                       ; preds = %.lr.ph
  %unroll_iter = and i64 %14, -4
  br label %20

._crit_edge.loopexit.unr-lcssa:                   ; preds = %20, %.lr.ph
  %.lcssa.ph = phi i64 [ poison, %.lr.ph ], [ %28, %20 ]
  %indvars.iv.unr = phi i64 [ %11, %.lr.ph ], [ %indvars.iv.next.3, %20 ]
  %.0912.unr = phi i64 [ 1, %.lr.ph ], [ %28, %20 ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.epil.preheader

.epil.preheader:                                  ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader
  %indvars.iv.epil = phi i64 [ %indvars.iv.next.epil, %.epil.preheader ], [ %indvars.iv.unr, %._crit_edge.loopexit.unr-lcssa ]
  %.0912.epil = phi i64 [ %18, %.epil.preheader ], [ %.0912.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.epil.preheader ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %17 = mul nsw i64 %indvars.iv.epil, %.0912.epil
  %18 = srem i64 %17, %12
  %indvars.iv.next.epil = add nsw i64 %indvars.iv.epil, 1
  %epil.iter.next = add i64 %epil.iter, 1
  %epil.iter.cmp.not = icmp eq i64 %epil.iter.next, %xtraiter
  br i1 %epil.iter.cmp.not, label %._crit_edge, label %.epil.preheader, !llvm.loop !9

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader, %0
  %.09.lcssa = phi i64 [ 1, %0 ], [ %.lcssa.ph, %._crit_edge.loopexit.unr-lcssa ], [ %18, %.epil.preheader ]
  %19 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i64 noundef %.09.lcssa)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #4
  ret i32 0

20:                                               ; preds = %20, %.lr.ph.new
  %indvars.iv = phi i64 [ %11, %.lr.ph.new ], [ %indvars.iv.next.3, %20 ]
  %.0912 = phi i64 [ 1, %.lr.ph.new ], [ %28, %20 ]
  %niter = phi i64 [ 0, %.lr.ph.new ], [ %niter.next.3, %20 ]
  %21 = mul nsw i64 %indvars.iv, %.0912
  %22 = srem i64 %21, %12
  %indvars.iv.next = add nsw i64 %indvars.iv, 1
  %23 = mul nsw i64 %indvars.iv.next, %22
  %24 = srem i64 %23, %12
  %indvars.iv.next.1 = add nsw i64 %indvars.iv, 2
  %25 = mul nsw i64 %indvars.iv.next.1, %24
  %26 = srem i64 %25, %12
  %indvars.iv.next.2 = add nsw i64 %indvars.iv, 3
  %27 = mul nsw i64 %indvars.iv.next.2, %26
  %28 = srem i64 %27, %12
  %indvars.iv.next.3 = add nsw i64 %indvars.iv, 4
  %niter.next.3 = add i64 %niter, 4
  %niter.ncmp.3.not = icmp eq i64 %niter.next.3, %unroll_iter
  br i1 %niter.ncmp.3.not, label %._crit_edge.loopexit.unr-lcssa, label %20, !llvm.loop !11
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERx(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #3

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIxERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #3

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEx(ptr noundef nonnull align 8 dereferenceable(8), i64 noundef) local_unnamed_addr #2 align 2

attributes #0 = { mustprogress norecurse 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 willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { inlinehint 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 #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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.unroll.disable"}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,ReassociatePass,SROAPass,SimplifyCFGPass