; LLVM IR from kdrag0n/fxdsp :: external/boost/libs/math/example/binomial_sample_sizes.ll (Z20find_max_sample_sizedj)

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

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [77 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [14 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [4 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [40 x i8], align 1
@__const._Z20find_max_sample_sizedj.alpha = external hidden unnamed_addr constant [8 x double], align 16
@.str.5 = external hidden unnamed_addr constant [119 x i8], align 1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z20find_max_sample_sizedj(double noundef %0, i32 noundef %1) #0 {
  %3 = alloca double, align 8
  %4 = alloca i32, align 4
  %5 = alloca %"struct.std::_Setprecision", align 4
  %6 = alloca %"struct.std::_Setw", align 4
  %7 = alloca %"struct.std::_Setw", align 4
  %8 = alloca [8 x double], align 16
  %9 = alloca i32, align 4
  %10 = alloca %"struct.std::_Setprecision", align 4
  %11 = alloca %"struct.std::_Setw", align 4
  %12 = alloca double, align 8
  %13 = alloca %"struct.std::_Setprecision", align 4
  %14 = alloca %"struct.std::_Setw", align 4
  store double %0, ptr %3, align 8, !tbaa !5
  store i32 %1, ptr %4, align 4, !tbaa !9
  %15 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @.str)
  %16 = call i32 @_ZSt12setprecisioni(i32 noundef 7)
  %17 = getelementptr inbounds %"struct.std::_Setprecision", ptr %5, i32 0, i32 0
  store i32 %16, ptr %17, align 4
  %18 = getelementptr inbounds %"struct.std::_Setprecision", ptr %5, i32 0, i32 0
  %19 = load i32, ptr %18, align 4
  %20 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %19)
  %21 = call i32 @_ZSt4setwi(i32 noundef 40)
  %22 = getelementptr inbounds %"struct.std::_Setw", ptr %6, i32 0, i32 0
  store i32 %21, ptr %22, align 4
  %23 = getelementptr inbounds %"struct.std::_Setw", ptr %6, i32 0, i32 0
  %24 = load i32, ptr %23, align 4
  %25 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %24)
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %25, ptr noundef @_ZSt4leftRSt8ios_base)
  %27 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %26, ptr noundef @.str.1)
  %28 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %27, ptr noundef @.str.2)
  %29 = load double, ptr %3, align 8, !tbaa !5
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %28, double noundef %29)
  %31 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %30, ptr noundef @.str.3)
  %32 = call i32 @_ZSt4setwi(i32 noundef 40)
  %33 = getelementptr inbounds %"struct.std::_Setw", ptr %7, i32 0, i32 0
  store i32 %32, ptr %33, align 4
  %34 = getelementptr inbounds %"struct.std::_Setw", ptr %7, i32 0, i32 0
  %35 = load i32, ptr %34, align 4
  %36 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %35)
  %37 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %36, ptr noundef @_ZSt4leftRSt8ios_base)
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %37, ptr noundef @.str.4)
  %39 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %38, ptr noundef @.str.2)
  %40 = load i32, ptr %4, align 4, !tbaa !9
  %41 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEj(ptr noundef nonnull align 8 dereferenceable(8) %39, i32 noundef %40)
  %42 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %41, ptr noundef @.str.3)
  call void @llvm.lifetime.start.p0(i64 64, ptr %8) #6
  call void @llvm.memcpy.p0.p0.i64(ptr align 16 %8, ptr align 16 @__const._Z20find_max_sample_sizedj.alpha, i64 64, i1 false)
  %43 = 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)
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #6
  store i32 0, ptr %9, align 4, !tbaa !9
  br label %44

44:                                               ; preds = %94, %2
  %45 = load i32, ptr %9, align 4, !tbaa !9
  %46 = zext i32 %45 to i64
  %47 = icmp ult i64 %46, 8
  br i1 %47, label %49, label %48

48:                                               ; preds = %44
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #6
  br label %97

49:                                               ; preds = %44
  %50 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @_ZSt5fixedRSt8ios_base)
  %51 = call i32 @_ZSt12setprecisioni(i32 noundef 3)
  %52 = getelementptr inbounds %"struct.std::_Setprecision", ptr %10, i32 0, i32 0
  store i32 %51, ptr %52, align 4
  %53 = getelementptr inbounds %"struct.std::_Setprecision", ptr %10, i32 0, i32 0
  %54 = load i32, ptr %53, align 4
  %55 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %50, i32 %54)
  %56 = call i32 @_ZSt4setwi(i32 noundef 10)
  %57 = getelementptr inbounds %"struct.std::_Setw", ptr %11, i32 0, i32 0
  store i32 %56, ptr %57, align 4
  %58 = getelementptr inbounds %"struct.std::_Setw", ptr %11, i32 0, i32 0
  %59 = load i32, ptr %58, align 4
  %60 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) %55, i32 %59)
  %61 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %60, ptr noundef @_ZSt5rightRSt8ios_base)
  %62 = load i32, ptr %9, align 4, !tbaa !9
  %63 = zext i32 %62 to i64
  %64 = getelementptr inbounds [8 x double], ptr %8, i64 0, i64 %63
  %65 = load double, ptr %64, align 8, !tbaa !5
  %66 = fsub double 1.000000e+00, %65
  %67 = fmul double 1.000000e+02, %66
  %68 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %61, double noundef %67)
  call void @llvm.lifetime.start.p0(i64 8, ptr %12) #6
  %69 = load i32, ptr %4, align 4, !tbaa !9
  %70 = uitofp i32 %69 to double
  %71 = load double, ptr %3, align 8, !tbaa !5
  %72 = load i32, ptr %9, align 4, !tbaa !9
  %73 = zext i32 %72 to i64
  %74 = getelementptr inbounds [8 x double], ptr %8, i64 0, i64 %73
  %75 = load double, ptr %74, align 8, !tbaa !5
  %76 = call noundef double @_ZN5boost4math21binomial_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEE29find_maximum_number_of_trialsEddd(double noundef %70, double noundef %71, double noundef %75)
  store double %76, ptr %12, align 8, !tbaa !5
  %77 = load double, ptr %12, align 8, !tbaa !5
  %78 = call double @llvm.floor.f64(double %77)
  store double %78, ptr %12, align 8, !tbaa !5
  %79 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @_ZSt5fixedRSt8ios_base)
  %80 = call i32 @_ZSt12setprecisioni(i32 noundef 0)
  %81 = getelementptr inbounds %"struct.std::_Setprecision", ptr %13, i32 0, i32 0
  store i32 %80, ptr %81, align 4
  %82 = getelementptr inbounds %"struct.std::_Setprecision", ptr %13, i32 0, i32 0
  %83 = load i32, ptr %82, align 4
  %84 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %79, i32 %83)
  %85 = call i32 @_ZSt4setwi(i32 noundef 15)
  %86 = getelementptr inbounds %"struct.std::_Setw", ptr %14, i32 0, i32 0
  store i32 %85, ptr %86, align 4
  %87 = getelementptr inbounds %"struct.std::_Setw", ptr %14, i32 0, i32 0
  %88 = load i32, ptr %87, align 4
  %89 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) %84, i32 %88)
  %90 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %89, ptr noundef @_ZSt5rightRSt8ios_base)
  %91 = load double, ptr %12, align 8, !tbaa !5
  %92 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %90, double noundef %91)
  %93 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %92, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 8, ptr %12) #6
  br label %94

94:                                               ; preds = %49
  %95 = load i32, ptr %9, align 4, !tbaa !9
  %96 = add i32 %95, 1
  store i32 %96, ptr %9, align 4, !tbaa !9
  br label %44, !llvm.loop !11

97:                                               ; preds = %48
  %98 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  call void @llvm.lifetime.end.p0(i64 64, ptr %8) #6
  ret void
}

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

; 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) #2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8), i32) #1

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt4setwi(i32 noundef) #2

; 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 @_ZSt4leftRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #1

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEj(ptr noundef nonnull align 8 dereferenceable(8), i32 noundef) #0 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #3

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #4

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(216) ptr @_ZSt5fixedRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #1

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(216) ptr @_ZSt5rightRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #1

; Function Attrs: mustprogress uwtable
declare dso_local noundef double @_ZN5boost4math21binomial_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEE29find_maximum_number_of_trialsEddd(double noundef, double noundef, double noundef) #0 align 2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.floor.f64(double) #5

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

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #3

attributes #0 = { mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { inlinehint mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #2 = { 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 #3 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #4 = { nocallback nofree nounwind willreturn memory(argmem: readwrite) }
attributes #5 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
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 = !{!"double", !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"}


; 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 }

@_ZSt4cout = external global %"class.std::basic_ostream", align 8
@.str = external hidden unnamed_addr constant [77 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [14 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [4 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [2 x i8], align 1
@.str.4 = external hidden unnamed_addr constant [40 x i8], align 1
@__const._Z20find_max_sample_sizedj.alpha = external hidden unnamed_addr constant [8 x double], align 16
@.str.5 = external hidden unnamed_addr constant [119 x i8], align 1

; Function Attrs: mustprogress uwtable
define dso_local void @_Z20find_max_sample_sizedj(double noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  %3 = 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)
  %4 = tail call i32 @_ZSt12setprecisioni(i32 noundef 7)
  %5 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %4)
  %6 = tail call i32 @_ZSt4setwi(i32 noundef 40)
  %7 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %6)
  %8 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %7, ptr noundef nonnull @_ZSt4leftRSt8ios_base)
  %9 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %8, ptr noundef nonnull @.str.1)
  %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 @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %10, double noundef %0)
  %12 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %11, ptr noundef nonnull @.str.3)
  %13 = tail call i32 @_ZSt4setwi(i32 noundef 40)
  %14 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, i32 %13)
  %15 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %14, ptr noundef nonnull @_ZSt4leftRSt8ios_base)
  %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.4)
  %17 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsISt11char_traitsIcEERSt13basic_ostreamIcT_ES5_PKc(ptr noundef nonnull align 8 dereferenceable(8) %16, ptr noundef nonnull @.str.2)
  %18 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEj(ptr noundef nonnull align 8 dereferenceable(8) %17, i32 noundef %1)
  %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.3)
  %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.5)
  %21 = uitofp i32 %1 to double
  br label %24

22:                                               ; preds = %24
  %23 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  ret void

24:                                               ; preds = %2, %24
  %indvars.iv = phi i64 [ 0, %2 ], [ %indvars.iv.next, %24 ]
  %25 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @_ZSt5fixedRSt8ios_base)
  %26 = tail call i32 @_ZSt12setprecisioni(i32 noundef 3)
  %27 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %25, i32 %26)
  %28 = tail call i32 @_ZSt4setwi(i32 noundef 10)
  %29 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) %27, i32 %28)
  %30 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %29, ptr noundef nonnull @_ZSt5rightRSt8ios_base)
  %31 = getelementptr inbounds [8 x double], ptr @__const._Z20find_max_sample_sizedj.alpha, i64 0, i64 %indvars.iv
  %32 = load double, ptr %31, align 8, !tbaa !5
  %33 = fsub double 1.000000e+00, %32
  %34 = fmul double %33, 1.000000e+02
  %35 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %30, double noundef %34)
  %36 = tail call noundef double @_ZN5boost4math21binomial_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEE29find_maximum_number_of_trialsEddd(double noundef %21, double noundef %0, double noundef %32)
  %37 = tail call double @llvm.floor.f64(double %36)
  %38 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @_ZSt5fixedRSt8ios_base)
  %39 = tail call i32 @_ZSt12setprecisioni(i32 noundef 0)
  %40 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %38, i32 %39)
  %41 = tail call i32 @_ZSt4setwi(i32 noundef 15)
  %42 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8) %40, i32 %41)
  %43 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) %42, ptr noundef nonnull @_ZSt5rightRSt8ios_base)
  %44 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %43, double noundef %37)
  %45 = tail call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSoS_E(ptr noundef nonnull align 8 dereferenceable(8) %44, ptr noundef nonnull @_ZSt4endlIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, 8
  br i1 %exitcond.not, label %22, label %24, !llvm.loop !9
}

; 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: 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 #2

; Function Attrs: inlinehint mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St5_Setw(ptr noundef nonnull align 8 dereferenceable(8), i32) local_unnamed_addr #1

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local i32 @_ZSt4setwi(i32 noundef) local_unnamed_addr #2

; 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 @_ZSt4leftRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #1

; 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 #0 align 2

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEj(ptr noundef nonnull align 8 dereferenceable(8), i32 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)) #1

; Function Attrs: inlinehint mustprogress uwtable
declare dso_local noundef nonnull align 8 dereferenceable(216) ptr @_ZSt5rightRSt8ios_base(ptr noundef nonnull align 8 dereferenceable(216)) #1

; Function Attrs: mustprogress uwtable
declare dso_local noundef double @_ZN5boost4math21binomial_distributionIdNS0_8policies6policyINS2_14default_policyES4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_S4_EEE29find_maximum_number_of_trialsEddd(double noundef, double noundef, double noundef) local_unnamed_addr #0 align 2

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.floor.f64(double) #3

; 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 #0 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 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 = { 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 #3 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


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