; LLVM IR from ahr9n/psolving-paradigms :: 4.dynamic-programming/20.building-up/UVa 348 - Optimal Array Multiplication Sequenc_9ce95514 (Z5buildii)

; 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_ostream" = type { ptr, %"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 }

@a = external dso_local global [11 x [2 x i64]], align 16
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [4 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z2dpii(i32 noundef, i32 noundef) #0

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

; 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
define dso_local void @_Z5buildii(i32 noundef %0, i32 noundef %1) #0 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i64, align 8
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  store i32 %0, ptr %3, align 4, !tbaa !5
  store i32 %1, ptr %4, align 4, !tbaa !5
  %8 = load i32, ptr %3, align 4, !tbaa !5
  %9 = load i32, ptr %4, align 4, !tbaa !5
  %10 = icmp eq i32 %8, %9
  br i1 %10, label %11, label %15

11:                                               ; preds = %2
  %12 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %13 = load i32, ptr %3, align 4, !tbaa !5
  %14 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %12, i32 noundef %13)
  br label %69

15:                                               ; preds = %2
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #4
  %16 = load i32, ptr %3, align 4, !tbaa !5
  %17 = load i32, ptr %4, align 4, !tbaa !5
  %18 = call noundef i64 @_Z2dpii(i32 noundef %16, i32 noundef %17)
  store i64 %18, ptr %5, align 8, !tbaa !9
  %19 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.1)
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #4
  %20 = load i32, ptr %3, align 4, !tbaa !5
  store i32 %20, ptr %6, align 4, !tbaa !5
  br label %21

21:                                               ; preds = %63, %15
  %22 = load i32, ptr %6, align 4, !tbaa !5
  %23 = load i32, ptr %4, align 4, !tbaa !5
  %24 = icmp slt i32 %22, %23
  br i1 %24, label %26, label %25

25:                                               ; preds = %21
  store i32 2, ptr %7, align 4
  br label %66

26:                                               ; preds = %21
  %27 = load i64, ptr %5, align 8, !tbaa !9
  %28 = load i32, ptr %3, align 4, !tbaa !5
  %29 = load i32, ptr %6, align 4, !tbaa !5
  %30 = call noundef i64 @_Z2dpii(i32 noundef %28, i32 noundef %29)
  %31 = load i32, ptr %6, align 4, !tbaa !5
  %32 = add nsw i32 %31, 1
  %33 = load i32, ptr %4, align 4, !tbaa !5
  %34 = call noundef i64 @_Z2dpii(i32 noundef %32, i32 noundef %33)
  %35 = add nsw i64 %30, %34
  %36 = load i32, ptr %3, align 4, !tbaa !5
  %37 = sext i32 %36 to i64
  %38 = getelementptr inbounds [11 x [2 x i64]], ptr @a, i64 0, i64 %37
  %39 = getelementptr inbounds [2 x i64], ptr %38, i64 0, i64 0
  %40 = load i64, ptr %39, align 16, !tbaa !9
  %41 = load i32, ptr %6, align 4, !tbaa !5
  %42 = sext i32 %41 to i64
  %43 = getelementptr inbounds [11 x [2 x i64]], ptr @a, i64 0, i64 %42
  %44 = getelementptr inbounds [2 x i64], ptr %43, i64 0, i64 1
  %45 = load i64, ptr %44, align 8, !tbaa !9
  %46 = mul nsw i64 %40, %45
  %47 = load i32, ptr %4, align 4, !tbaa !5
  %48 = sext i32 %47 to i64
  %49 = getelementptr inbounds [11 x [2 x i64]], ptr @a, i64 0, i64 %48
  %50 = getelementptr inbounds [2 x i64], ptr %49, i64 0, i64 1
  %51 = load i64, ptr %50, align 8, !tbaa !9
  %52 = mul nsw i64 %46, %51
  %53 = add nsw i64 %35, %52
  %54 = icmp eq i64 %27, %53
  br i1 %54, label %55, label %62

55:                                               ; preds = %26
  %56 = load i32, ptr %3, align 4, !tbaa !5
  %57 = load i32, ptr %6, align 4, !tbaa !5
  call void @_Z5buildii(i32 noundef %56, i32 noundef %57)
  %58 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.2)
  %59 = load i32, ptr %6, align 4, !tbaa !5
  %60 = add nsw i32 %59, 1
  %61 = load i32, ptr %4, align 4, !tbaa !5
  call void @_Z5buildii(i32 noundef %60, i32 noundef %61)
  store i32 2, ptr %7, align 4
  br label %66

62:                                               ; preds = %26
  br label %63

63:                                               ; preds = %62
  %64 = load i32, ptr %6, align 4, !tbaa !5
  %65 = add nsw i32 %64, 1
  store i32 %65, ptr %6, align 4, !tbaa !5
  br label %21, !llvm.loop !11

66:                                               ; preds = %55, %25
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #4
  br label %67

67:                                               ; preds = %66
  %68 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.3)
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #4
  br label %69

69:                                               ; preds = %67, %11
  ret void
}

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #2

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #3

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" }
attributes #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { inlinehint 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 = { "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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long long", !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_ostream" = type { ptr, %"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 }

@a = external dso_local local_unnamed_addr global [11 x [2 x i64]], align 16
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [2 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [4 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef i64 @_Z2dpii(i32 noundef, i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
define dso_local void @_Z5buildii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  %3 = icmp eq i32 %0, %1
  br i1 %3, label %4, label %7

4:                                                ; preds = %2
  %5 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @.str)
  %6 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %5, i32 noundef %0)
  br label %32

7:                                                ; preds = %2
  %8 = tail call noundef i64 @_Z2dpii(i32 noundef %0, i32 noundef %1)
  %9 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @.str.1)
  %10 = sext i32 %0 to i64
  %11 = getelementptr inbounds [11 x [2 x i64]], ptr @a, i64 0, i64 %10
  %12 = sext i32 %1 to i64
  %13 = getelementptr inbounds [11 x [2 x i64]], ptr @a, i64 0, i64 %12, i64 1
  %smax = tail call i32 @llvm.smax.i32(i32 %1, i32 %0)
  %wide.trip.count = sext i32 %smax to i64
  br label %14

14:                                               ; preds = %15, %7
  %indvars.iv = phi i64 [ %indvars.iv.next, %15 ], [ %10, %7 ]
  %exitcond.not = icmp eq i64 %indvars.iv, %wide.trip.count
  br i1 %exitcond.not, label %.loopexit, label %15

15:                                               ; preds = %14
  %16 = trunc nsw i64 %indvars.iv to i32
  %17 = tail call noundef i64 @_Z2dpii(i32 noundef %0, i32 noundef %16)
  %indvars.iv.next = add nsw i64 %indvars.iv, 1
  %18 = trunc nsw i64 %indvars.iv.next to i32
  %19 = tail call noundef i64 @_Z2dpii(i32 noundef %18, i32 noundef %1)
  %20 = add nsw i64 %19, %17
  %21 = load i64, ptr %11, align 16, !tbaa !5
  %22 = getelementptr inbounds [11 x [2 x i64]], ptr @a, i64 0, i64 %indvars.iv, i64 1
  %23 = load i64, ptr %22, align 8, !tbaa !5
  %24 = mul nsw i64 %23, %21
  %25 = load i64, ptr %13, align 8, !tbaa !5
  %26 = mul nsw i64 %24, %25
  %27 = add nsw i64 %20, %26
  %28 = icmp eq i64 %8, %27
  br i1 %28, label %29, label %14, !llvm.loop !9

29:                                               ; preds = %15
  tail call void @_Z5buildii(i32 noundef %0, i32 noundef %16)
  %30 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @.str.2)
  tail call void @_Z5buildii(i32 noundef %18, i32 noundef %1)
  br label %.loopexit

.loopexit:                                        ; preds = %14, %29
  %31 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @.str.3)
  br label %32

32:                                               ; preds = %.loopexit, %4
  ret void
}

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #1

declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) local_unnamed_addr #2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i32 @llvm.smax.i32(i32, i32) #3

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" }
attributes #1 = { inlinehint 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 #2 = { "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) }

!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.mustprogress"}


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