; LLVM IR from ShahjalalShohag/code-library :: Math (Integration (Romberg))

; 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" }
%"struct.std::_Setprecision" = type { i32 }

@z = external dso_local global i32, align 4
@d = external dso_local global i32, align 4
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [6 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef x86_fp80 @_Z1fe(x86_fp80 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
declare dso_local noundef x86_fp80 @_Z9integrateee(x86_fp80 noundef, x86_fp80 noundef) #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca x86_fp80, align 16
  %7 = alloca %"struct.std::_Setprecision", align 4
  store i32 0, ptr %1, align 4
  %8 = call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %9 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %10 = getelementptr i8, ptr %9, i64 -24
  %11 = load i64, ptr %10, align 8
  %12 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %11
  %13 = call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %12, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #7
  store i32 0, ptr %3, align 4, !tbaa !8
  %14 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %2)
  br label %15

15:                                               ; preds = %45, %0
  %16 = load i32, ptr %2, align 4, !tbaa !8
  %17 = add nsw i32 %16, -1
  store i32 %17, ptr %2, align 4, !tbaa !8
  %18 = icmp ne i32 %16, 0
  br i1 %18, label %19, label %60

19:                                               ; preds = %15
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #7
  %20 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @z)
  %21 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %20, ptr noundef nonnull align 4 dereferenceable(4) %4)
  %22 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %21, ptr noundef nonnull align 4 dereferenceable(4) %5)
  %23 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %22, ptr noundef nonnull align 4 dereferenceable(4) @d)
  %24 = load i32, ptr @d, align 4, !tbaa !8
  %25 = load i32, ptr %4, align 4, !tbaa !8
  %26 = sub nsw i32 %25, %24
  store i32 %26, ptr %4, align 4, !tbaa !8
  call void @llvm.lifetime.start.p0(i64 16, ptr %6) #7
  %27 = load i32, ptr %5, align 4, !tbaa !8
  %28 = load i32, ptr %4, align 4, !tbaa !8
  %29 = icmp eq i32 %27, %28
  br i1 %29, label %30, label %34

30:                                               ; preds = %19
  %31 = load i32, ptr %5, align 4, !tbaa !8
  %32 = sitofp i32 %31 to x86_fp80
  %33 = call noundef x86_fp80 @_Z1fe(x86_fp80 noundef %32)
  store x86_fp80 %33, ptr %6, align 16, !tbaa !11
  br label %45

34:                                               ; preds = %19
  %35 = load i32, ptr %5, align 4, !tbaa !8
  %36 = sitofp i32 %35 to x86_fp80
  %37 = load i32, ptr %4, align 4, !tbaa !8
  %38 = sitofp i32 %37 to x86_fp80
  %39 = call noundef x86_fp80 @_Z9integrateee(x86_fp80 noundef %36, x86_fp80 noundef %38)
  %40 = load i32, ptr %4, align 4, !tbaa !8
  %41 = load i32, ptr %5, align 4, !tbaa !8
  %42 = sub nsw i32 %40, %41
  %43 = sitofp i32 %42 to x86_fp80
  %44 = fdiv x86_fp80 %39, %43
  store x86_fp80 %44, ptr %6, align 16, !tbaa !11
  br label %45

45:                                               ; preds = %34, %30
  %46 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %47 = load i32, ptr %3, align 4, !tbaa !8
  %48 = add nsw i32 %47, 1
  store i32 %48, ptr %3, align 4, !tbaa !8
  %49 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %46, i32 noundef %48)
  %50 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %49, ptr noundef @.str.1)
  %51 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %50, ptr noundef @_ZSt5fixedRSt8ios_base)
  %52 = call i32 @_ZSt12setprecisioni(i32 noundef 10)
  %53 = getelementptr inbounds %"struct.std::_Setprecision", ptr %7, i32 0, i32 0
  store i32 %52, ptr %53, align 4
  %54 = getelementptr inbounds %"struct.std::_Setprecision", ptr %7, i32 0, i32 0
  %55 = load i32, ptr %54, align 4
  %56 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %51, i32 %55)
  %57 = load x86_fp80, ptr %6, align 16, !tbaa !11
  %58 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8) %56, x86_fp80 noundef %57)
  %59 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %58, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 16, ptr %6) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #7
  br label %15, !llvm.loop !13

60:                                               ; preds = %15
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #7
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) #3

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) #4 align 2

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) #3

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) #5

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8), i32) #5

; 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) #5

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #0 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(216) ptr @_ZSt5fixedRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8), x86_fp80 noundef) #0 align 2

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 = { 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 #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 = { 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 #5 = { 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 #6 = { 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 #7 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"long double", !10, 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"

%"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" }

@z = external dso_local global i32, align 4
@d = external dso_local global i32, align 4
@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [6 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [3 x i8], align 1

; Function Attrs: mustprogress uwtable
declare dso_local noundef x86_fp80 @_Z1fe(x86_fp80 noundef) local_unnamed_addr #0

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

; Function Attrs: mustprogress uwtable
declare dso_local noundef x86_fp80 @_Z9integrateee(x86_fp80 noundef, x86_fp80 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #2 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  %3 = alloca i32, align 4
  %4 = tail call noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext false)
  %5 = load ptr, ptr @_ZSt3cin, align 8, !tbaa !5
  %6 = getelementptr i8, ptr %5, i64 -24
  %7 = load i64, ptr %6, align 8
  %8 = getelementptr inbounds i8, ptr @_ZSt3cin, i64 %7
  %9 = tail call noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264) %8, ptr noundef null)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #7
  %10 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) %1)
  %11 = load i32, ptr %1, align 4, !tbaa !8
  %12 = add nsw i32 %11, -1
  store i32 %12, ptr %1, align 4, !tbaa !8
  %.not4 = icmp eq i32 %11, 0
  br i1 %.not4, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %0, %34
  %.05 = phi i32 [ %36, %34 ], [ 0, %0 ]
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %2) #7
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #7
  %13 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 4 dereferenceable(4) @z)
  %14 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %13, ptr noundef nonnull align 4 dereferenceable(4) %2)
  %15 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %14, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %16 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16) %15, ptr noundef nonnull align 4 dereferenceable(4) @d)
  %17 = load i32, ptr @d, align 4, !tbaa !8
  %18 = load i32, ptr %2, align 4, !tbaa !8
  %19 = sub nsw i32 %18, %17
  store i32 %19, ptr %2, align 4, !tbaa !8
  %20 = load i32, ptr %3, align 4, !tbaa !8
  %21 = icmp eq i32 %20, %19
  br i1 %21, label %22, label %25

22:                                               ; preds = %.lr.ph
  %23 = sitofp i32 %19 to x86_fp80
  %24 = call noundef x86_fp80 @_Z1fe(x86_fp80 noundef %23)
  br label %34

25:                                               ; preds = %.lr.ph
  %26 = sitofp i32 %20 to x86_fp80
  %27 = sitofp i32 %19 to x86_fp80
  %28 = call noundef x86_fp80 @_Z9integrateee(x86_fp80 noundef %26, x86_fp80 noundef %27)
  %29 = load i32, ptr %2, align 4, !tbaa !8
  %30 = load i32, ptr %3, align 4, !tbaa !8
  %31 = sub nsw i32 %29, %30
  %32 = sitofp i32 %31 to x86_fp80
  %33 = fdiv x86_fp80 %28, %32
  br label %34

34:                                               ; preds = %25, %22
  %.01 = phi x86_fp80 [ %24, %22 ], [ %33, %25 ]
  %35 = 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)
  %36 = add nuw nsw i32 %.05, 1
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %35, i32 noundef %36)
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %37, ptr noundef nonnull @.str.1)
  %39 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %38, ptr noundef nonnull @_ZSt5fixedRSt8ios_base)
  %40 = call i32 @_ZSt12setprecisioni(i32 noundef 10)
  %41 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %39, i32 %40)
  %42 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8) %41, x86_fp80 noundef %.01)
  %43 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8) %42, i8 noundef signext 10)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #7
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %2) #7
  %44 = load i32, ptr %1, align 4, !tbaa !8
  %45 = add nsw i32 %44, -1
  store i32 %45, ptr %1, align 4, !tbaa !8
  %.not = icmp eq i32 %44, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !11

._crit_edge:                                      ; preds = %34, %0
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #7
  ret i32 0
}

declare noundef zeroext i1 @_ZNSt8ios_base15sync_with_stdioEb(i1 noundef zeroext) local_unnamed_addr #3

; Function Attrs: mustprogress nounwind uwtable
declare noundef ptr @_ZNSt9basic_iosIcSt11char_traitsIcEE3tieEPSo(ptr noundef nonnull align 8 dereferenceable(264), ptr noundef) local_unnamed_addr #4 align 2

declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERi(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #3

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_c(ptr noundef nonnull align 8 dereferenceable(8), i8 noundef signext) local_unnamed_addr #5

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8), i32) local_unnamed_addr #5

; 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 #5

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #0 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(216) ptr @_ZSt5fixedRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) local_unnamed_addr #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEe(ptr noundef nonnull align 8 dereferenceable(8), x86_fp80 noundef) local_unnamed_addr #0 align 2

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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #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 = { 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 #5 = { 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 #6 = { 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 #7 = { 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 = !{!"vtable pointer", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"int", !10, i64 0}
!10 = !{!"omnipotent char", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass