; LLVM IR from tivole/Numerary :: examples (example_dorpi)

; 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 }
%"class.std::__cxx11::basic_string" = type { %"struct.std::__cxx11::basic_string<char>::_Alloc_hider", i64, %union.anon }
%"struct.std::__cxx11::basic_string<char>::_Alloc_hider" = type { ptr }
%union.anon = type { i64, [8 x i8] }
%"class.std::allocator" = type { i8 }

@.str = external hidden unnamed_addr constant [10 x i8], align 1
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str.1 = external hidden unnamed_addr constant [8 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [5 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [20 x i8], align 1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_Z8equationdd(double noundef, double noundef) #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #1 personality ptr @__gxx_personality_v0 {
  %1 = alloca i32, align 4
  %2 = alloca ptr, align 8
  %3 = alloca double, align 8
  %4 = alloca double, align 8
  %5 = alloca double, align 8
  %6 = alloca i16, align 2
  %7 = alloca %"class.std::__cxx11::basic_string", align 8
  %8 = alloca %"class.std::allocator", align 1
  %9 = alloca ptr, align 8
  %10 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #8
  %11 = call noalias noundef nonnull ptr @_Znam(i64 noundef 16) #9
  store ptr %11, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #8
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #8
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #8
  call void @llvm.lifetime.start.p0(i64 2, ptr %6) #8
  store double 1.000000e+00, ptr %3, align 8, !tbaa !9
  %12 = load ptr, ptr %2, align 8, !tbaa !5
  %13 = getelementptr inbounds double, ptr %12, i64 0
  store double 3.000000e+00, ptr %13, align 8, !tbaa !9
  store double 2.000000e+00, ptr %4, align 8, !tbaa !9
  store double 1.000000e-02, ptr %5, align 8, !tbaa !9
  %14 = load ptr, ptr %2, align 8, !tbaa !5
  %15 = load double, ptr %3, align 8, !tbaa !9
  %16 = load double, ptr %5, align 8, !tbaa !9
  %17 = load double, ptr %4, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 32, ptr %7) #8
  call void @llvm.lifetime.start.p0(i64 1, ptr %8) #8
  call void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %8) #8
  invoke void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2IS3_EEPKcRKS3_(ptr noundef nonnull align 8 dereferenceable(32) %7, ptr noundef @.str, ptr noundef nonnull align 1 dereferenceable(1) %8)
          to label %18 unwind label %36

18:                                               ; preds = %0
  %19 = invoke noundef signext i16 @_ZN8numerary8Numerary31ordinary_differential_equationsEPFdddEPddddRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef @_Z8equationdd, ptr noundef %14, double noundef %15, double noundef %16, double noundef %17, ptr noundef nonnull align 8 dereferenceable(32) %7)
          to label %20 unwind label %40

20:                                               ; preds = %18
  store i16 %19, ptr %6, align 2, !tbaa !11
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %7) #8
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %8) #8
  call void @llvm.lifetime.end.p0(i64 1, ptr %8) #8
  call void @llvm.lifetime.end.p0(i64 32, ptr %7) #8
  %21 = load i16, ptr %6, align 2, !tbaa !11
  %22 = sext i16 %21 to i32
  %23 = icmp eq i32 %22, 0
  br i1 %23, label %24, label %45

24:                                               ; preds = %20
  %25 = 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)
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %25, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %27 = 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)
  %28 = load double, ptr %4, align 8, !tbaa !9
  %29 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %27, double noundef %28)
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %29, ptr noundef @.str.3)
  %31 = load ptr, ptr %2, align 8, !tbaa !5
  %32 = getelementptr inbounds double, ptr %31, i64 1
  %33 = load double, ptr %32, align 8, !tbaa !9
  %34 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %30, double noundef %33)
  %35 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %34, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %48

36:                                               ; preds = %0
  %37 = landingpad { ptr, i32 }
          cleanup
  %38 = extractvalue { ptr, i32 } %37, 0
  store ptr %38, ptr %9, align 8
  %39 = extractvalue { ptr, i32 } %37, 1
  store i32 %39, ptr %10, align 4
  br label %44

40:                                               ; preds = %18
  %41 = landingpad { ptr, i32 }
          cleanup
  %42 = extractvalue { ptr, i32 } %41, 0
  store ptr %42, ptr %9, align 8
  %43 = extractvalue { ptr, i32 } %41, 1
  store i32 %43, ptr %10, align 4
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %7) #8
  br label %44

44:                                               ; preds = %40, %36
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %8) #8
  call void @llvm.lifetime.end.p0(i64 1, ptr %8) #8
  call void @llvm.lifetime.end.p0(i64 32, ptr %7) #8
  call void @llvm.lifetime.end.p0(i64 2, ptr %6) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #8
  br label %53

45:                                               ; preds = %20
  %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.4)
  %47 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %46, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %48

48:                                               ; preds = %45, %24
  %49 = load ptr, ptr %2, align 8, !tbaa !5
  %50 = icmp eq ptr %49, null
  br i1 %50, label %52, label %51

51:                                               ; preds = %48
  call void @_ZdaPv(ptr noundef %49) #10
  br label %52

52:                                               ; preds = %51, %48
  call void @llvm.lifetime.end.p0(i64 2, ptr %6) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #8
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #8
  ret i32 0

53:                                               ; preds = %44
  %54 = load ptr, ptr %9, align 8
  %55 = load i32, ptr %10, align 4
  %56 = insertvalue { ptr, i32 } poison, ptr %54, 0
  %57 = insertvalue { ptr, i32 } %56, i32 %55, 1
  resume { ptr, i32 } %57
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: nobuiltin allocsize(0)
declare noundef nonnull ptr @_Znam(i64 noundef) #3

declare noundef signext i16 @_ZN8numerary8Numerary31ordinary_differential_equationsEPFdddEPddddRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef, ptr noundef, double noundef, double noundef, double noundef, ptr noundef nonnull align 8 dereferenceable(32)) #4

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2IS3_EEPKcRKS3_(ptr noundef nonnull align 8 dereferenceable(32), ptr noundef, ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #5 align 2

declare i32 @__gxx_personality_v0(...)

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32)) unnamed_addr #0 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #2

; 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) #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #5 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) #5 align 2

; Function Attrs: nobuiltin nounwind
declare void @_ZdaPv(ptr noundef) #7

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

attributes #0 = { 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 #1 = { 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 #2 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #3 = { nobuiltin allocsize(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 = { "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 = { 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 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 = { nobuiltin 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 #8 = { nounwind }
attributes #9 = { builtin allocsize(0) }
attributes #10 = { builtin 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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"short", !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"

%"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 }
%"class.std::__cxx11::basic_string" = type { %"struct.std::__cxx11::basic_string<char>::_Alloc_hider", i64, %union.anon }
%"struct.std::__cxx11::basic_string<char>::_Alloc_hider" = type { ptr }
%union.anon = type { i64, [8 x i8] }
%"class.std::allocator" = type { i8 }

@.str = external hidden unnamed_addr constant [10 x i8], align 1
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str.1 = external hidden unnamed_addr constant [8 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [5 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [20 x i8], align 1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_Z8equationdd(double noundef, double noundef) #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 personality ptr @__gxx_personality_v0 {
  %1 = alloca %"class.std::__cxx11::basic_string", align 8
  %2 = alloca %"class.std::allocator", align 1
  %3 = tail call noalias noundef nonnull dereferenceable(16) ptr @_Znam(i64 noundef 16) #8
  store double 3.000000e+00, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 32, ptr nonnull %1) #9
  call void @llvm.lifetime.start.p0(i64 1, ptr nonnull %2) #9
  call void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %2) #9
  invoke void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2IS3_EEPKcRKS3_(ptr noundef nonnull align 8 dereferenceable(32) %1, ptr noundef nonnull @.str, ptr noundef nonnull align 1 dereferenceable(1) %2)
          to label %4 unwind label %17

4:                                                ; preds = %0
  %5 = invoke noundef signext i16 @_ZN8numerary8Numerary31ordinary_differential_equationsEPFdddEPddddRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef nonnull @_Z8equationdd, ptr noundef nonnull %3, double noundef 1.000000e+00, double noundef 1.000000e-02, double noundef 2.000000e+00, ptr noundef nonnull align 8 dereferenceable(32) %1)
          to label %6 unwind label %19

6:                                                ; preds = %4
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %1) #9
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %2) #9
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %2) #9
  call void @llvm.lifetime.end.p0(i64 32, ptr nonnull %1) #9
  %7 = icmp eq i16 %5, 0
  br i1 %7, label %8, label %22

8:                                                ; preds = %6
  %9 = 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 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %9, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %11 = 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)
  %12 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %11, double noundef 2.000000e+00)
  %13 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %12, ptr noundef nonnull @.str.3)
  %14 = getelementptr inbounds i8, ptr %3, i64 8
  %15 = load double, ptr %14, align 8, !tbaa !5
  %16 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %13, double noundef %15)
  br label %24

17:                                               ; preds = %0
  %18 = landingpad { ptr, i32 }
          cleanup
  br label %21

19:                                               ; preds = %4
  %20 = landingpad { ptr, i32 }
          cleanup
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %1) #9
  br label %21

21:                                               ; preds = %19, %17
  %.pn = phi { ptr, i32 } [ %20, %19 ], [ %18, %17 ]
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %2) #9
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %2) #9
  call void @llvm.lifetime.end.p0(i64 32, ptr nonnull %1) #9
  resume { ptr, i32 } %.pn

22:                                               ; preds = %6
  %23 = 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.4)
  br label %24

24:                                               ; preds = %8, %22
  %.sink = phi ptr [ %16, %8 ], [ %23, %22 ]
  %25 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %.sink, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @_ZdaPv(ptr noundef nonnull %3) #10
  ret i32 0
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: nobuiltin allocsize(0)
declare noundef nonnull ptr @_Znam(i64 noundef) local_unnamed_addr #3

declare noundef signext i16 @_ZN8numerary8Numerary31ordinary_differential_equationsEPFdddEPddddRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef, ptr noundef, double noundef, double noundef, double noundef, ptr noundef nonnull align 8 dereferenceable(32)) local_unnamed_addr #4

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2IS3_EEPKcRKS3_(ptr noundef nonnull align 8 dereferenceable(32), ptr noundef, ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #5 align 2

declare i32 @__gxx_personality_v0(...)

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32)) unnamed_addr #0 align 2

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #2

; 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 #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) local_unnamed_addr #5 align 2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_(ptr noundef nonnull align 8 dereferenceable(8)) #6

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8), double noundef) local_unnamed_addr #5 align 2

; Function Attrs: nobuiltin nounwind
declare void @_ZdaPv(ptr noundef) local_unnamed_addr #7

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #0 align 2

attributes #0 = { 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 #1 = { 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 #2 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #3 = { nobuiltin allocsize(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 = { "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 = { 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 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 = { nobuiltin 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 #8 = { builtin allocsize(0) }
attributes #9 = { nounwind }
attributes #10 = { builtin 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"}


; Effective O3 passes: CorrelatedValuePropagationPass,EarlyCSEPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,SROAPass,SimplifyCFGPass,TailCallElimPass