; LLVM IR from kdrag0n/fxdsp :: external/boost/libs/math/example (nc_chi_sq_example)

; 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 }
%"struct.boost::math::complemented2_type" = type { ptr, ptr }
%"class.boost::math::chi_squared_distribution" = type { double }
%"struct.boost::math::complemented2_type.0" = type { ptr, ptr }
%"class.boost::math::non_central_chi_squared_distribution" = type { double, double }
%"struct.std::_Setprecision" = type { i32 }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [15 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [11 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.5 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %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 double, align 8
  %7 = alloca %"struct.boost::math::complemented2_type", align 8
  %8 = alloca %"class.boost::math::chi_squared_distribution", align 8
  %9 = alloca double, align 8
  %10 = alloca double, align 8
  %11 = alloca %"struct.boost::math::complemented2_type.0", align 8
  %12 = alloca %"class.boost::math::non_central_chi_squared_distribution", align 8
  %13 = alloca %"struct.std::_Setprecision", align 4
  store i32 0, ptr %1, align 4
  %14 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #6
  store i32 2, ptr %2, align 4, !tbaa !5
  br label %15

15:                                               ; preds = %24, %0
  %16 = load i32, ptr %2, align 4, !tbaa !5
  %17 = icmp sle i32 %16, 20
  br i1 %17, label %19, label %18

18:                                               ; preds = %15
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #6
  br label %27

19:                                               ; preds = %15
  %20 = 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)
  %21 = load i32, ptr %2, align 4, !tbaa !5
  %22 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %20, i32 noundef %21)
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %22, ptr noundef @.str.2)
  br label %24

24:                                               ; preds = %19
  %25 = load i32, ptr %2, align 4, !tbaa !5
  %26 = add nsw i32 %25, 2
  store i32 %26, ptr %2, align 4, !tbaa !5
  br label %15, !llvm.loop !9

27:                                               ; preds = %18
  %28 = 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.start.p0(i64 4, ptr %3) #6
  store i32 2, ptr %3, align 4, !tbaa !5
  br label %29

29:                                               ; preds = %76, %27
  %30 = load i32, ptr %3, align 4, !tbaa !5
  %31 = icmp sle i32 %30, 20
  br i1 %31, label %33, label %32

32:                                               ; preds = %29
  store i32 5, ptr %4, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #6
  br label %79

33:                                               ; preds = %29
  %34 = 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)
  %35 = load i32, ptr %3, align 4, !tbaa !5
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %34, i32 noundef %35)
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %36, ptr noundef @.str.2)
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #6
  store i32 2, ptr %5, align 4, !tbaa !5
  br label %38

38:                                               ; preds = %70, %33
  %39 = load i32, ptr %5, align 4, !tbaa !5
  %40 = icmp sle i32 %39, 20
  br i1 %40, label %42, label %41

41:                                               ; preds = %38
  store i32 8, ptr %4, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #6
  br label %73

42:                                               ; preds = %38
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #6
  call void @llvm.lifetime.start.p0(i64 16, ptr %7) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #6
  %43 = load i32, ptr %3, align 4, !tbaa !5
  %44 = sitofp i32 %43 to double
  call void @_ZN5boost4math24chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Ed(ptr noundef nonnull align 8 dereferenceable(8) %8, double noundef %44)
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #6
  store double 5.000000e-02, ptr %9, align 8, !tbaa !11
  %45 = call { ptr, ptr } @_ZN5boost4math10complementINS0_24chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(8) %8, ptr noundef nonnull align 8 dereferenceable(8) %9)
  %46 = getelementptr inbounds { ptr, ptr }, ptr %7, i32 0, i32 0
  %47 = extractvalue { ptr, ptr } %45, 0
  store ptr %47, ptr %46, align 8
  %48 = getelementptr inbounds { ptr, ptr }, ptr %7, i32 0, i32 1
  %49 = extractvalue { ptr, ptr } %45, 1
  store ptr %49, ptr %48, align 8
  %50 = call noundef double @_ZN5boost4math8quantileIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_24chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16) %7)
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #6
  call void @llvm.lifetime.end.p0(i64 16, ptr %7) #6
  store double %50, ptr %6, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #6
  call void @llvm.lifetime.start.p0(i64 16, ptr %11) #6
  call void @llvm.lifetime.start.p0(i64 16, ptr %12) #6
  %51 = load i32, ptr %3, align 4, !tbaa !5
  %52 = sitofp i32 %51 to double
  %53 = load i32, ptr %5, align 4, !tbaa !5
  %54 = sitofp i32 %53 to double
  call void @_ZN5boost4math36non_central_chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Edd(ptr noundef nonnull align 8 dereferenceable(16) %12, double noundef %52, double noundef %54)
  %55 = call { ptr, ptr } @_ZN5boost4math10complementINS0_36non_central_chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(16) %12, ptr noundef nonnull align 8 dereferenceable(8) %6)
  %56 = getelementptr inbounds { ptr, ptr }, ptr %11, i32 0, i32 0
  %57 = extractvalue { ptr, ptr } %55, 0
  store ptr %57, ptr %56, align 8
  %58 = getelementptr inbounds { ptr, ptr }, ptr %11, i32 0, i32 1
  %59 = extractvalue { ptr, ptr } %55, 1
  store ptr %59, ptr %58, align 8
  %60 = call noundef double @_ZN5boost4math3cdfIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_36non_central_chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16) %11)
  call void @llvm.lifetime.end.p0(i64 16, ptr %12) #6
  call void @llvm.lifetime.end.p0(i64 16, ptr %11) #6
  store double %60, ptr %10, align 8, !tbaa !11
  %61 = 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)
  %62 = call i32 @_ZSt12setprecisioni(i32 noundef 3)
  %63 = getelementptr inbounds %"struct.std::_Setprecision", ptr %13, i32 0, i32 0
  store i32 %62, ptr %63, align 4
  %64 = getelementptr inbounds %"struct.std::_Setprecision", ptr %13, i32 0, i32 0
  %65 = load i32, ptr %64, align 4
  %66 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %61, i32 %65)
  %67 = load double, ptr %10, align 8, !tbaa !11
  %68 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %66, double noundef %67)
  %69 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %68, ptr noundef @.str.2)
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #6
  br label %70

70:                                               ; preds = %42
  %71 = load i32, ptr %5, align 4, !tbaa !5
  %72 = add nsw i32 %71, 2
  store i32 %72, ptr %5, align 4, !tbaa !5
  br label %38, !llvm.loop !13

73:                                               ; preds = %41
  %74 = 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)
  %75 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %74, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  br label %76

76:                                               ; preds = %73
  %77 = load i32, ptr %3, align 4, !tbaa !5
  %78 = add nsw i32 %77, 1
  store i32 %78, ptr %3, align 4, !tbaa !5
  br label %29, !llvm.loop !14

79:                                               ; preds = %32
  %80 = 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)
  %81 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %80, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %82 = load i32, ptr %1, align 4
  ret i32 %82
}

; 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) #1

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

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

; 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 dso_local noundef double @_ZN5boost4math8quantileIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_24chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16)) #1

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local { ptr, ptr } @_ZN5boost4math10complementINS0_24chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZN5boost4math24chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Ed(ptr noundef nonnull align 8 dereferenceable(8), double noundef) unnamed_addr #4 align 2

; Function Attrs: mustprogress uwtable
declare dso_local noundef double @_ZN5boost4math3cdfIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_36non_central_chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16)) #4

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local { ptr, ptr } @_ZN5boost4math10complementINS0_36non_central_chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZN5boost4math36non_central_chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Edd(ptr noundef nonnull align 8 dereferenceable(16), double noundef, double noundef) unnamed_addr #4 align 2

; 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) #1

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) #5

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #4 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)) #1

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 = { 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 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 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 #6 = { 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 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !7, i64 0}
!13 = distinct !{!13, !10}
!14 = distinct !{!14, !10}


; 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 }
%"struct.boost::math::complemented2_type" = type { ptr, ptr }
%"class.boost::math::chi_squared_distribution" = type { double }
%"struct.boost::math::complemented2_type.0" = type { ptr, ptr }
%"class.boost::math::non_central_chi_squared_distribution" = type { double, double }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [15 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [11 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [3 x i8], align 1
@.str.5 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca double, align 8
  %2 = alloca %"struct.boost::math::complemented2_type", align 8
  %3 = alloca %"class.boost::math::chi_squared_distribution", align 8
  %4 = alloca double, align 8
  %5 = alloca %"struct.boost::math::complemented2_type.0", align 8
  %6 = alloca %"class.boost::math::non_central_chi_squared_distribution", align 8
  %7 = 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)
  %8 = 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)
  %9 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %8, i32 noundef 2)
  %10 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %9, ptr noundef nonnull @.str.2)
  %11 = 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)
  %12 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %11, i32 noundef 4)
  %13 = tail 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.2)
  %14 = 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)
  %15 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %14, i32 noundef 6)
  %16 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %15, ptr noundef nonnull @.str.2)
  %17 = 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)
  %18 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %17, i32 noundef 8)
  %19 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %18, ptr noundef nonnull @.str.2)
  %20 = 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)
  %21 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %20, i32 noundef 10)
  %22 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %21, ptr noundef nonnull @.str.2)
  %23 = 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)
  %24 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %23, i32 noundef 12)
  %25 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %24, ptr noundef nonnull @.str.2)
  %26 = 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)
  %27 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %26, i32 noundef 14)
  %28 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %27, ptr noundef nonnull @.str.2)
  %29 = 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)
  %30 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %29, i32 noundef 16)
  %31 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %30, ptr noundef nonnull @.str.2)
  %32 = 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)
  %33 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %32, i32 noundef 18)
  %34 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %33, ptr noundef nonnull @.str.2)
  %35 = 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)
  %36 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %35, i32 noundef 20)
  %37 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %36, ptr noundef nonnull @.str.2)
  %38 = 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)
  %39 = getelementptr inbounds i8, ptr %2, i64 8
  %40 = getelementptr inbounds i8, ptr %5, i64 8
  br label %44

41:                                               ; preds = %49
  %42 = 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)
  %43 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %42, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  ret i32 0

44:                                               ; preds = %0, %49
  %.01216 = phi i32 [ 2, %0 ], [ %52, %49 ]
  %45 = 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)
  %46 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEi(ptr noundef nonnull align 8 dereferenceable(8) %45, i32 noundef %.01216)
  %47 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %46, ptr noundef nonnull @.str.2)
  %48 = uitofp nneg i32 %.01216 to double
  br label %53

49:                                               ; preds = %53
  %50 = 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)
  %51 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %50, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %52 = add nuw nsw i32 %.01216, 1
  %exitcond.not = icmp eq i32 %52, 21
  br i1 %exitcond.not, label %41, label %44, !llvm.loop !5

53:                                               ; preds = %44, %53
  %.01315 = phi i32 [ 2, %44 ], [ %68, %53 ]
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #6
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %2) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #6
  call void @_ZN5boost4math24chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Ed(ptr noundef nonnull align 8 dereferenceable(8) %3, double noundef %48)
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #6
  store double 5.000000e-02, ptr %4, align 8, !tbaa !7
  %54 = call { ptr, ptr } @_ZN5boost4math10complementINS0_24chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(8) %3, ptr noundef nonnull align 8 dereferenceable(8) %4)
  %55 = extractvalue { ptr, ptr } %54, 0
  store ptr %55, ptr %2, align 8
  %56 = extractvalue { ptr, ptr } %54, 1
  store ptr %56, ptr %39, align 8
  %57 = call noundef double @_ZN5boost4math8quantileIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_24chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16) %2)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #6
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %2) #6
  store double %57, ptr %1, align 8, !tbaa !7
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %5) #6
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %6) #6
  %58 = uitofp nneg i32 %.01315 to double
  call void @_ZN5boost4math36non_central_chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Edd(ptr noundef nonnull align 8 dereferenceable(16) %6, double noundef %48, double noundef %58)
  %59 = call { ptr, ptr } @_ZN5boost4math10complementINS0_36non_central_chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(16) %6, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %60 = extractvalue { ptr, ptr } %59, 0
  store ptr %60, ptr %5, align 8
  %61 = extractvalue { ptr, ptr } %59, 1
  store ptr %61, ptr %40, align 8
  %62 = call noundef double @_ZN5boost4math3cdfIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_36non_central_chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16) %5)
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %6) #6
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %5) #6
  %63 = 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)
  %64 = call i32 @_ZSt12setprecisioni(i32 noundef 3)
  %65 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %63, i32 %64)
  %66 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %65, double noundef %62)
  %67 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %66, ptr noundef nonnull @.str.2)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #6
  %68 = add nuw nsw i32 %.01315, 2
  %69 = icmp ult i32 %.01315, 19
  br i1 %69, label %53, label %49, !llvm.loop !11
}

; 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

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

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 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 dso_local noundef double @_ZN5boost4math8quantileIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_24chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16)) local_unnamed_addr #1

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local { ptr, ptr } @_ZN5boost4math10complementINS0_24chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZN5boost4math24chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Ed(ptr noundef nonnull align 8 dereferenceable(8), double noundef) unnamed_addr #4 align 2

; Function Attrs: mustprogress uwtable
declare dso_local noundef double @_ZN5boost4math3cdfIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEET_RKNS0_18complemented2_typeINS0_36non_central_chi_squared_distributionIS6_T0_EES6_EE(ptr noundef nonnull align 8 dereferenceable(16)) local_unnamed_addr #4

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local { ptr, ptr } @_ZN5boost4math10complementINS0_36non_central_chi_squared_distributionIdNS0_8policies6policyINS3_14default_policyES5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_S5_EEEEdEENS0_18complemented2_typeIT_T0_EERKS9_RKSA_(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZN5boost4math36non_central_chi_squared_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEEC2Edd(ptr noundef nonnull align 8 dereferenceable(16), double noundef, double noundef) unnamed_addr #4 align 2

; 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 #1

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt12setprecisioni(i32 noundef) local_unnamed_addr #5

; 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 #4 align 2

; 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 #4 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)) #1

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


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