; LLVM IR from Izaron/ACM-ICPC :: Timus Online Judge/Volume 2/1192. Ball in a Dream (main)

; Unoptimized IR (clang -disable-llvm-passes):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }
%"struct.std::_Setprecision" = type { i32 }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #0 {
  %1 = alloca i32, align 4
  %2 = alloca double, align 8
  %3 = alloca double, align 8
  %4 = alloca double, align 8
  %5 = alloca double, align 8
  %6 = alloca %"struct.std::_Setprecision", align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 8, ptr %2) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr %4) #6
  %7 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %8 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %7, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %9 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %8, ptr noundef nonnull align 8 dereferenceable(8) %4)
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #6
  store double 0.000000e+00, ptr %5, align 8, !tbaa !5
  br label %10

10:                                               ; preds = %13, %0
  %11 = load double, ptr %2, align 8, !tbaa !5
  %12 = fcmp ogt double %11, 1.000000e-08
  br i1 %12, label %13, label %30

13:                                               ; preds = %10
  %14 = load double, ptr %2, align 8, !tbaa !5
  %15 = load double, ptr %2, align 8, !tbaa !5
  %16 = fmul double %14, %15
  %17 = load double, ptr %3, align 8, !tbaa !5
  %18 = fmul double 2.000000e+00, %17
  %19 = fmul double %18, 0x400921FB54411744
  %20 = fdiv double %19, 1.800000e+02
  %21 = call double @sin(double noundef %20) #6
  %22 = fmul double %16, %21
  %23 = fdiv double %22, 1.000000e+01
  %24 = load double, ptr %5, align 8, !tbaa !5
  %25 = fadd double %24, %23
  store double %25, ptr %5, align 8, !tbaa !5
  %26 = load double, ptr %4, align 8, !tbaa !5
  %27 = call double @sqrt(double noundef %26) #6
  %28 = load double, ptr %2, align 8, !tbaa !5
  %29 = fdiv double %28, %27
  store double %29, ptr %2, align 8, !tbaa !5
  br label %10, !llvm.loop !9

30:                                               ; preds = %10
  %31 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef @_ZSt5fixedRSt8ios_base)
  %32 = call i32 @_ZSt12setprecisioni(i32 noundef 2)
  %33 = getelementptr inbounds %"struct.std::_Setprecision", ptr %6, i32 0, i32 0
  store i32 %32, ptr %33, align 4
  %34 = getelementptr inbounds %"struct.std::_Setprecision", ptr %6, 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_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %31, i32 %35)
  %37 = load double, ptr %5, align 8, !tbaa !5
  %38 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %36, double noundef %37)
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %4) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr %2) #6
  %39 = load i32, ptr %1, align 4
  ret i32 %39
}

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

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) #2 align 2

; Function Attrs: nounwind
declare double @sin(double noundef) #3

; Function Attrs: nounwind
declare double @sqrt(double noundef) #3

; 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) #4

; Function Attrs: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef) #2 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)) #4

; 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) #2 align 2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { 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 #4 = { 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 #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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Optimized IR (opt -passes='default<O3>'):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::basic_istream" = type { ptr, i64, %"class.std::basic_ios" }
%"class.std::basic_ios" = type { %"class.std::ios_base", ptr, i8, i8, ptr, ptr, ptr, ptr }
%"class.std::ios_base" = type { ptr, i64, i64, i32, i32, i32, ptr, %"struct.std::ios_base::_Words", [8 x %"struct.std::ios_base::_Words"], i32, ptr, %"class.std::locale" }
%"struct.std::ios_base::_Words" = type { ptr, i64 }
%"class.std::locale" = type { ptr }
%"class.std::basic_ostream" = type { ptr, %"class.std::basic_ios" }

@_ZSt3cin = external global %"class.std::basic_istream", align 8
@_ZSt4cout = external global %"class.std::basic_ostream", align 8

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #0 {
  %1 = alloca double, align 8
  %2 = alloca double, align 8
  %3 = alloca double, align 8
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %1) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #6
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %3) #6
  %4 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) @_ZSt3cin, ptr noundef nonnull align 8 dereferenceable(8) %1)
  %5 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %4, ptr noundef nonnull align 8 dereferenceable(8) %2)
  %6 = call noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16) %5, ptr noundef nonnull align 8 dereferenceable(8) %3)
  %.pr = load double, ptr %1, align 8, !tbaa !5
  %7 = fcmp ogt double %.pr, 1.000000e-08
  br i1 %7, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %0, %.lr.ph
  %.03 = phi double [ %17, %.lr.ph ], [ 0.000000e+00, %0 ]
  %8 = phi double [ %21, %.lr.ph ], [ %.pr, %0 ]
  %9 = fmul double %8, %8
  %10 = load double, ptr %2, align 8, !tbaa !5
  %11 = fmul double %10, 2.000000e+00
  %12 = fmul double %11, 0x400921FB54411744
  %13 = fdiv double %12, 1.800000e+02
  %14 = call double @sin(double noundef %13) #6
  %15 = fmul double %9, %14
  %16 = fdiv double %15, 1.000000e+01
  %17 = fadd double %.03, %16
  %18 = load double, ptr %3, align 8, !tbaa !5
  %19 = call double @sqrt(double noundef %18) #6
  %20 = load double, ptr %1, align 8, !tbaa !5
  %21 = fdiv double %20, %19
  store double %21, ptr %1, align 8, !tbaa !5
  %22 = fcmp ogt double %21, 1.000000e-08
  br i1 %22, label %.lr.ph, label %._crit_edge, !llvm.loop !9

._crit_edge:                                      ; preds = %.lr.ph, %0
  %.0.lcssa = phi double [ 0.000000e+00, %0 ], [ %17, %.lr.ph ]
  %23 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEPFRSt8ios_baseS0_E(ptr noundef nonnull align 8 dereferenceable(8) @_ZSt4cout, ptr noundef nonnull @_ZSt5fixedRSt8ios_base)
  %24 = call i32 @_ZSt12setprecisioni(i32 noundef 2)
  %25 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZStlsIcSt11char_traitsIcEERSt13basic_ostreamIT_T0_ES6_St13_Setprecision(ptr noundef nonnull align 8 dereferenceable(8) %23, i32 %24)
  %26 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSolsEd(ptr noundef nonnull align 8 dereferenceable(8) %25, double noundef %.0.lcssa)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %3) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #6
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %1) #6
  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: mustprogress uwtable
declare noundef nonnull align 8 dereferenceable(16) ptr @_ZNSirsERd(ptr noundef nonnull align 8 dereferenceable(16), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sin(double noundef) local_unnamed_addr #3

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #3

; 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 #4

; 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 #2 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)) #4

; 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 #2 align 2

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #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 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 #3 = { mustprogress nofree nounwind willreturn memory(write) "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 = { 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 #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 = !{!"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: EarlyCSEPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass