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

; 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 [6 x i8], align 1
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str.1 = external hidden unnamed_addr constant [15 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [6 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.5 = external hidden unnamed_addr constant [23 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 personality ptr @__gxx_personality_v0 {
  %1 = alloca i32, align 4
  %2 = alloca ptr, align 8
  %3 = alloca ptr, align 8
  %4 = alloca ptr, align 8
  %5 = alloca i16, align 2
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  %8 = alloca %"class.std::__cxx11::basic_string", align 8
  %9 = alloca %"class.std::allocator", align 1
  %10 = alloca ptr, align 8
  %11 = alloca i32, align 4
  %12 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #8
  %13 = call noalias noundef nonnull ptr @_Znam(i64 noundef 16) #9
  store ptr %13, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #8
  %14 = call noalias noundef nonnull ptr @_Znam(i64 noundef 16) #9
  store ptr %14, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #8
  %15 = call noalias noundef nonnull ptr @_Znam(i64 noundef 16) #9
  store ptr %15, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 2, ptr %5) #8
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #8
  store i32 0, ptr %6, align 4, !tbaa !9
  br label %16

16:                                               ; preds = %26, %0
  %17 = load i32, ptr %6, align 4, !tbaa !9
  %18 = icmp slt i32 %17, 2
  br i1 %18, label %20, label %19

19:                                               ; preds = %16
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #8
  br label %29

20:                                               ; preds = %16
  %21 = call noalias noundef nonnull ptr @_Znam(i64 noundef 16) #9
  %22 = load ptr, ptr %2, align 8, !tbaa !5
  %23 = load i32, ptr %6, align 4, !tbaa !9
  %24 = sext i32 %23 to i64
  %25 = getelementptr inbounds ptr, ptr %22, i64 %24
  store ptr %21, ptr %25, align 8, !tbaa !5
  br label %26

26:                                               ; preds = %20
  %27 = load i32, ptr %6, align 4, !tbaa !9
  %28 = add nsw i32 %27, 1
  store i32 %28, ptr %6, align 4, !tbaa !9
  br label %16, !llvm.loop !11

29:                                               ; preds = %19
  %30 = load ptr, ptr %2, align 8, !tbaa !5
  %31 = getelementptr inbounds ptr, ptr %30, i64 0
  %32 = load ptr, ptr %31, align 8, !tbaa !5
  %33 = getelementptr inbounds double, ptr %32, i64 0
  store double 2.000000e+00, ptr %33, align 8, !tbaa !13
  %34 = load ptr, ptr %2, align 8, !tbaa !5
  %35 = getelementptr inbounds ptr, ptr %34, i64 0
  %36 = load ptr, ptr %35, align 8, !tbaa !5
  %37 = getelementptr inbounds double, ptr %36, i64 1
  store double 1.000000e+00, ptr %37, align 8, !tbaa !13
  %38 = load ptr, ptr %2, align 8, !tbaa !5
  %39 = getelementptr inbounds ptr, ptr %38, i64 1
  %40 = load ptr, ptr %39, align 8, !tbaa !5
  %41 = getelementptr inbounds double, ptr %40, i64 0
  store double -1.000000e+00, ptr %41, align 8, !tbaa !13
  %42 = load ptr, ptr %2, align 8, !tbaa !5
  %43 = getelementptr inbounds ptr, ptr %42, i64 1
  %44 = load ptr, ptr %43, align 8, !tbaa !5
  %45 = getelementptr inbounds double, ptr %44, i64 1
  store double 1.000000e+00, ptr %45, align 8, !tbaa !13
  %46 = load ptr, ptr %3, align 8, !tbaa !5
  %47 = getelementptr inbounds double, ptr %46, i64 0
  store double 5.000000e+00, ptr %47, align 8, !tbaa !13
  %48 = load ptr, ptr %3, align 8, !tbaa !5
  %49 = getelementptr inbounds double, ptr %48, i64 1
  store double 2.000000e+00, ptr %49, align 8, !tbaa !13
  %50 = load ptr, ptr %2, align 8, !tbaa !5
  %51 = load ptr, ptr %3, align 8, !tbaa !5
  %52 = load ptr, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #8
  store i32 2, ptr %7, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 32, ptr %8) #8
  call void @llvm.lifetime.start.p0(i64 1, ptr %9) #8
  call void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %9) #8
  invoke void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2IS3_EEPKcRKS3_(ptr noundef nonnull align 8 dereferenceable(32) %8, ptr noundef @.str, ptr noundef nonnull align 1 dereferenceable(1) %9)
          to label %53 unwind label %74

53:                                               ; preds = %29
  %54 = invoke noundef signext i16 @_ZN8numerary8Numerary27linear_systems_of_equationsEPPdS1_S1_RKiRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef %50, ptr noundef %51, ptr noundef %52, ptr noundef nonnull align 4 dereferenceable(4) %7, ptr noundef nonnull align 8 dereferenceable(32) %8)
          to label %55 unwind label %78

55:                                               ; preds = %53
  store i16 %54, ptr %5, align 2, !tbaa !15
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %8) #8
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %9) #8
  call void @llvm.lifetime.end.p0(i64 1, ptr %9) #8
  call void @llvm.lifetime.end.p0(i64 32, ptr %8) #8
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #8
  %56 = load i16, ptr %5, align 2, !tbaa !15
  %57 = sext i16 %56 to i32
  %58 = icmp eq i32 %57, 1
  br i1 %58, label %59, label %83

59:                                               ; preds = %55
  %60 = 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)
  %61 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %60, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %62 = 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)
  %63 = load ptr, ptr %4, align 8, !tbaa !5
  %64 = getelementptr inbounds double, ptr %63, i64 0
  %65 = load double, ptr %64, align 8, !tbaa !13
  %66 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %62, double noundef %65)
  %67 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %66, ptr noundef @.str.3)
  %68 = load ptr, ptr %4, align 8, !tbaa !5
  %69 = getelementptr inbounds double, ptr %68, i64 1
  %70 = load double, ptr %69, align 8, !tbaa !13
  %71 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %67, double noundef %70)
  %72 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %71, ptr noundef @.str.4)
  %73 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %72, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %85

74:                                               ; preds = %29
  %75 = landingpad { ptr, i32 }
          cleanup
  %76 = extractvalue { ptr, i32 } %75, 0
  store ptr %76, ptr %10, align 8
  %77 = extractvalue { ptr, i32 } %75, 1
  store i32 %77, ptr %11, align 4
  br label %82

78:                                               ; preds = %53
  %79 = landingpad { ptr, i32 }
          cleanup
  %80 = extractvalue { ptr, i32 } %79, 0
  store ptr %80, ptr %10, align 8
  %81 = extractvalue { ptr, i32 } %79, 1
  store i32 %81, ptr %11, align 4
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %8) #8
  br label %82

82:                                               ; preds = %78, %74
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %9) #8
  call void @llvm.lifetime.end.p0(i64 1, ptr %9) #8
  call void @llvm.lifetime.end.p0(i64 32, ptr %8) #8
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #8
  call void @llvm.lifetime.end.p0(i64 2, 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 %115

83:                                               ; preds = %55
  %84 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str.5)
  br label %85

85:                                               ; preds = %83, %59
  call void @llvm.lifetime.start.p0(i64 4, ptr %12) #8
  store i32 0, ptr %12, align 4, !tbaa !9
  br label %86

86:                                               ; preds = %99, %85
  %87 = load i32, ptr %12, align 4, !tbaa !9
  %88 = icmp slt i32 %87, 2
  br i1 %88, label %90, label %89

89:                                               ; preds = %86
  call void @llvm.lifetime.end.p0(i64 4, ptr %12) #8
  br label %102

90:                                               ; preds = %86
  %91 = load ptr, ptr %2, align 8, !tbaa !5
  %92 = load i32, ptr %12, align 4, !tbaa !9
  %93 = sext i32 %92 to i64
  %94 = getelementptr inbounds ptr, ptr %91, i64 %93
  %95 = load ptr, ptr %94, align 8, !tbaa !5
  %96 = icmp eq ptr %95, null
  br i1 %96, label %98, label %97

97:                                               ; preds = %90
  call void @_ZdaPv(ptr noundef %95) #10
  br label %98

98:                                               ; preds = %97, %90
  br label %99

99:                                               ; preds = %98
  %100 = load i32, ptr %12, align 4, !tbaa !9
  %101 = add nsw i32 %100, 1
  store i32 %101, ptr %12, align 4, !tbaa !9
  br label %86, !llvm.loop !17

102:                                              ; preds = %89
  %103 = load ptr, ptr %2, align 8, !tbaa !5
  %104 = icmp eq ptr %103, null
  br i1 %104, label %106, label %105

105:                                              ; preds = %102
  call void @_ZdaPv(ptr noundef %103) #10
  br label %106

106:                                              ; preds = %105, %102
  %107 = load ptr, ptr %4, align 8, !tbaa !5
  %108 = icmp eq ptr %107, null
  br i1 %108, label %110, label %109

109:                                              ; preds = %106
  call void @_ZdaPv(ptr noundef %107) #10
  br label %110

110:                                              ; preds = %109, %106
  %111 = load ptr, ptr %3, align 8, !tbaa !5
  %112 = icmp eq ptr %111, null
  br i1 %112, label %114, label %113

113:                                              ; preds = %110
  call void @_ZdaPv(ptr noundef %111) #10
  br label %114

114:                                              ; preds = %113, %110
  call void @llvm.lifetime.end.p0(i64 2, 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

115:                                              ; preds = %82
  %116 = load ptr, ptr %10, align 8
  %117 = load i32, ptr %11, align 4
  %118 = insertvalue { ptr, i32 } poison, ptr %116, 0
  %119 = insertvalue { ptr, i32 } %118, i32 %117, 1
  resume { ptr, i32 } %119
}

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

; Function Attrs: nobuiltin allocsize(0)
declare noundef nonnull ptr @_Znam(i64 noundef) #2

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

declare noundef signext i16 @_ZN8numerary8Numerary27linear_systems_of_equationsEPPdS1_S1_RKiRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef, ptr noundef, ptr noundef, ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 8 dereferenceable(32)) #3

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #4 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 #4 align 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 #4 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 = { 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 #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 = { 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 = !{!"int", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = !{!14, !14, i64 0}
!14 = !{!"double", !7, i64 0}
!15 = !{!16, !16, i64 0}
!16 = !{!"short", !7, i64 0}
!17 = distinct !{!17, !12}


; 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 [6 x i8], align 1
@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str.1 = external hidden unnamed_addr constant [15 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [6 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.5 = external hidden unnamed_addr constant [23 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 personality ptr @__gxx_personality_v0 {
  %1 = alloca i32, align 4
  %2 = alloca %"class.std::__cxx11::basic_string", align 8
  %3 = alloca %"class.std::allocator", align 1
  %4 = tail call noalias noundef nonnull dereferenceable(16) ptr @_Znam(i64 noundef 16) #8
  %5 = tail call noalias noundef nonnull dereferenceable(16) ptr @_Znam(i64 noundef 16) #8
  %6 = tail call noalias noundef nonnull dereferenceable(16) ptr @_Znam(i64 noundef 16) #8
  %7 = tail call noalias noundef nonnull dereferenceable(16) ptr @_Znam(i64 noundef 16) #8
  store ptr %7, ptr %4, align 8, !tbaa !5
  %8 = tail call noalias noundef nonnull dereferenceable(16) ptr @_Znam(i64 noundef 16) #8
  %9 = getelementptr inbounds i8, ptr %4, i64 8
  store ptr %8, ptr %9, align 8, !tbaa !5
  store <2 x double> <double 2.000000e+00, double 1.000000e+00>, ptr %7, align 8, !tbaa !9
  store <2 x double> <double -1.000000e+00, double 1.000000e+00>, ptr %8, align 8, !tbaa !9
  store <2 x double> <double 5.000000e+00, double 2.000000e+00>, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %1) #9
  store i32 2, ptr %1, align 4, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 32, ptr nonnull %2) #9
  call void @llvm.lifetime.start.p0(i64 1, ptr nonnull %3) #9
  call void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1) %3) #9
  invoke void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEC2IS3_EEPKcRKS3_(ptr noundef nonnull align 8 dereferenceable(32) %2, ptr noundef nonnull @.str, ptr noundef nonnull align 1 dereferenceable(1) %3)
          to label %10 unwind label %26

10:                                               ; preds = %0
  %11 = invoke noundef signext i16 @_ZN8numerary8Numerary27linear_systems_of_equationsEPPdS1_S1_RKiRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef nonnull %4, ptr noundef nonnull %5, ptr noundef nonnull %6, ptr noundef nonnull align 4 dereferenceable(4) %1, ptr noundef nonnull align 8 dereferenceable(32) %2)
          to label %12 unwind label %28

12:                                               ; preds = %10
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %2) #9
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %3) #9
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %3) #9
  call void @llvm.lifetime.end.p0(i64 32, ptr nonnull %2) #9
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #9
  %13 = icmp eq i16 %11, 1
  br i1 %13, label %14, label %31

14:                                               ; preds = %12
  %15 = 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)
  %16 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %15, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %17 = 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)
  %18 = load double, ptr %6, align 8, !tbaa !9
  %19 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %17, double noundef %18)
  %20 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %19, ptr noundef nonnull @.str.3)
  %21 = getelementptr inbounds i8, ptr %6, i64 8
  %22 = load double, ptr %21, align 8, !tbaa !9
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %20, double noundef %22)
  %24 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %23, ptr noundef nonnull @.str.4)
  %25 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %24, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %33

26:                                               ; preds = %0
  %27 = landingpad { ptr, i32 }
          cleanup
  br label %30

28:                                               ; preds = %10
  %29 = landingpad { ptr, i32 }
          cleanup
  call void @_ZNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEED2Ev(ptr noundef nonnull align 8 dereferenceable(32) %2) #9
  br label %30

30:                                               ; preds = %28, %26
  %.pn = phi { ptr, i32 } [ %29, %28 ], [ %27, %26 ]
  call void @_ZNSt15__new_allocatorIcED2Ev(ptr noundef nonnull align 1 dereferenceable(1) %3) #9
  call void @llvm.lifetime.end.p0(i64 1, ptr nonnull %3) #9
  call void @llvm.lifetime.end.p0(i64 32, ptr nonnull %2) #9
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %1) #9
  resume { ptr, i32 } %.pn

31:                                               ; preds = %12
  %32 = 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.5)
  br label %33

33:                                               ; preds = %31, %14
  %34 = load ptr, ptr %4, align 8, !tbaa !5
  %35 = icmp eq ptr %34, null
  br i1 %35, label %37, label %36

36:                                               ; preds = %33
  call void @_ZdaPv(ptr noundef nonnull %34) #10
  br label %37

37:                                               ; preds = %33, %36
  %38 = load ptr, ptr %9, align 8, !tbaa !5
  %39 = icmp eq ptr %38, null
  br i1 %39, label %41, label %40

40:                                               ; preds = %37
  call void @_ZdaPv(ptr noundef nonnull %38) #10
  br label %41

41:                                               ; preds = %40, %37
  call void @_ZdaPv(ptr noundef nonnull %4) #10
  call void @_ZdaPv(ptr noundef nonnull %6) #10
  call void @_ZdaPv(ptr noundef nonnull %5) #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) #1

; Function Attrs: nobuiltin allocsize(0)
declare noundef nonnull ptr @_Znam(i64 noundef) local_unnamed_addr #2

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

declare noundef signext i16 @_ZN8numerary8Numerary27linear_systems_of_equationsEPPdS1_S1_RKiRKNSt7__cxx1112basic_stringIcSt11char_traitsIcESaIcEEE(ptr noundef, ptr noundef, ptr noundef, ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 8 dereferenceable(32)) local_unnamed_addr #3

; Function Attrs: mustprogress nounwind uwtable
declare void @_ZNSaIcEC2Ev(ptr noundef nonnull align 1 dereferenceable(1)) unnamed_addr #4 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 #4 align 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 #4 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 = { 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 #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 = { 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 = !{!"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 = !{!"int", !7, i64 0}


; Effective O3 passes: CorrelatedValuePropagationPass,EarlyCSEPass,GVNPass,GlobalOptPass,IPSCCPPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,LoopRotatePass,SLPVectorizerPass,SROAPass,SimplifyCFGPass,TailCallElimPass