; LLVM IR from SanketSarmalkar/Numerical_Methods :: Divided_Differences/DirectDifference.ll (Z12applyFormuladPdPA10_di)

; 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"

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_Z7protermidPd(i32 noundef, double noundef, ptr noundef) #0

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

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

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef double @_Z12applyFormuladPdPA10_di(double noundef %0, ptr noundef %1, ptr noundef %2, i32 noundef %3) #0 {
  %5 = alloca double, align 8
  %6 = alloca ptr, align 8
  %7 = alloca ptr, align 8
  %8 = alloca i32, align 4
  %9 = alloca double, align 8
  %10 = alloca i32, align 4
  store double %0, ptr %5, align 8, !tbaa !5
  store ptr %1, ptr %6, align 8, !tbaa !9
  store ptr %2, ptr %7, align 8, !tbaa !9
  store i32 %3, ptr %8, align 4, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #3
  %11 = load ptr, ptr %7, align 8, !tbaa !9
  %12 = getelementptr inbounds [10 x double], ptr %11, i64 0
  %13 = getelementptr inbounds [10 x double], ptr %12, i64 0, i64 0
  %14 = load double, ptr %13, align 8, !tbaa !5
  store double %14, ptr %9, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %10) #3
  store i32 1, ptr %10, align 4, !tbaa !11
  br label %15

15:                                               ; preds = %33, %4
  %16 = load i32, ptr %10, align 4, !tbaa !11
  %17 = load i32, ptr %8, align 4, !tbaa !11
  %18 = icmp slt i32 %16, %17
  br i1 %18, label %20, label %19

19:                                               ; preds = %15
  call void @llvm.lifetime.end.p0(i64 4, ptr %10) #3
  br label %36

20:                                               ; preds = %15
  %21 = load double, ptr %9, align 8, !tbaa !5
  %22 = load i32, ptr %10, align 4, !tbaa !11
  %23 = load double, ptr %5, align 8, !tbaa !5
  %24 = load ptr, ptr %6, align 8, !tbaa !9
  %25 = call noundef double @_Z7protermidPd(i32 noundef %22, double noundef %23, ptr noundef %24)
  %26 = load ptr, ptr %7, align 8, !tbaa !9
  %27 = getelementptr inbounds [10 x double], ptr %26, i64 0
  %28 = load i32, ptr %10, align 4, !tbaa !11
  %29 = sext i32 %28 to i64
  %30 = getelementptr inbounds [10 x double], ptr %27, i64 0, i64 %29
  %31 = load double, ptr %30, align 8, !tbaa !5
  %32 = call double @llvm.fmuladd.f64(double %25, double %31, double %21)
  store double %32, ptr %9, align 8, !tbaa !5
  br label %33

33:                                               ; preds = %20
  %34 = load i32, ptr %10, align 4, !tbaa !11
  %35 = add nsw i32 %34, 1
  store i32 %35, ptr %10, align 4, !tbaa !11
  br label %15, !llvm.loop !13

36:                                               ; preds = %19
  %37 = load double, ptr %9, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #3
  ret double %37
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #2

attributes #0 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #3 = { 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 = !{!"any pointer", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"int", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"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"

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef double @_Z7protermidPd(i32 noundef, double noundef, ptr noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef double @_Z12applyFormuladPdPA10_di(double noundef %0, ptr noundef %1, ptr nocapture noundef readonly %2, i32 noundef %3) local_unnamed_addr #0 {
  %5 = load double, ptr %2, align 8, !tbaa !5
  %6 = icmp sgt i32 %3, 1
  br i1 %6, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %4
  %wide.trip.count = zext nneg i32 %3 to i64
  br label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %4
  %.010.lcssa = phi double [ %5, %4 ], [ %11, %.lr.ph ]
  ret double %.010.lcssa

.lr.ph:                                           ; preds = %.lr.ph.preheader, %.lr.ph
  %indvars.iv = phi i64 [ 1, %.lr.ph.preheader ], [ %indvars.iv.next, %.lr.ph ]
  %.01011 = phi double [ %5, %.lr.ph.preheader ], [ %11, %.lr.ph ]
  %7 = trunc nuw nsw i64 %indvars.iv to i32
  %8 = tail call noundef double @_Z7protermidPd(i32 noundef %7, double noundef %0, ptr noundef %1)
  %9 = getelementptr inbounds [10 x double], ptr %2, i64 0, i64 %indvars.iv
  %10 = load double, ptr %9, align 8, !tbaa !5
  %11 = tail call double @llvm.fmuladd.f64(double %8, double %10, double %.01011)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !9
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #1

attributes #0 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #1 = { mustprogress 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: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass,TailCallElimPass