; LLVM IR from OpenFAST/openfast :: modules/map/src (jacobian)

; 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: nounwind
declare double @sqrt(double noundef) #0

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

; Function Attrs: nounwind
declare double @pow(double noundef, double noundef) #0

; Function Attrs: nounwind uwtable
define dso_local double @jacobian_dxdv_no_contact(double noundef %0, double noundef %1, double noundef %2, double noundef %3, double noundef %4) #2 {
  %6 = alloca double, align 8
  %7 = alloca double, align 8
  %8 = alloca double, align 8
  %9 = alloca double, align 8
  %10 = alloca double, align 8
  store double %0, ptr %6, align 8, !tbaa !5
  store double %1, ptr %7, align 8, !tbaa !5
  store double %2, ptr %8, align 8, !tbaa !5
  store double %3, ptr %9, align 8, !tbaa !5
  store double %4, ptr %10, align 8, !tbaa !5
  %11 = load double, ptr %6, align 8, !tbaa !5
  %12 = load double, ptr %7, align 8, !tbaa !5
  %13 = fdiv double %11, %12
  %14 = load double, ptr %6, align 8, !tbaa !5
  %15 = load double, ptr %7, align 8, !tbaa !5
  %16 = fdiv double %14, %15
  %17 = call double @pow(double noundef %16, double noundef 2.000000e+00) #3
  %18 = fadd double 1.000000e+00, %17
  %19 = call double @sqrt(double noundef %18) #3
  %20 = fdiv double %13, %19
  %21 = fadd double 1.000000e+00, %20
  %22 = load double, ptr %6, align 8, !tbaa !5
  %23 = load double, ptr %7, align 8, !tbaa !5
  %24 = fdiv double %22, %23
  %25 = load double, ptr %6, align 8, !tbaa !5
  %26 = load double, ptr %7, align 8, !tbaa !5
  %27 = fdiv double %25, %26
  %28 = call double @pow(double noundef %27, double noundef 2.000000e+00) #3
  %29 = fadd double 1.000000e+00, %28
  %30 = call double @sqrt(double noundef %29) #3
  %31 = fadd double %24, %30
  %32 = fdiv double %21, %31
  %33 = load double, ptr %6, align 8, !tbaa !5
  %34 = load double, ptr %8, align 8, !tbaa !5
  %35 = load double, ptr %9, align 8, !tbaa !5
  %36 = fneg double %34
  %37 = call double @llvm.fmuladd.f64(double %36, double %35, double %33)
  %38 = load double, ptr %7, align 8, !tbaa !5
  %39 = fdiv double %37, %38
  %40 = load double, ptr %6, align 8, !tbaa !5
  %41 = load double, ptr %8, align 8, !tbaa !5
  %42 = load double, ptr %9, align 8, !tbaa !5
  %43 = fneg double %41
  %44 = call double @llvm.fmuladd.f64(double %43, double %42, double %40)
  %45 = load double, ptr %7, align 8, !tbaa !5
  %46 = fdiv double %44, %45
  %47 = call double @pow(double noundef %46, double noundef 2.000000e+00) #3
  %48 = fadd double 1.000000e+00, %47
  %49 = call double @sqrt(double noundef %48) #3
  %50 = fdiv double %39, %49
  %51 = fadd double 1.000000e+00, %50
  %52 = load double, ptr %6, align 8, !tbaa !5
  %53 = load double, ptr %8, align 8, !tbaa !5
  %54 = load double, ptr %9, align 8, !tbaa !5
  %55 = fneg double %53
  %56 = call double @llvm.fmuladd.f64(double %55, double %54, double %52)
  %57 = load double, ptr %7, align 8, !tbaa !5
  %58 = fdiv double %56, %57
  %59 = load double, ptr %6, align 8, !tbaa !5
  %60 = load double, ptr %8, align 8, !tbaa !5
  %61 = load double, ptr %9, align 8, !tbaa !5
  %62 = fneg double %60
  %63 = call double @llvm.fmuladd.f64(double %62, double %61, double %59)
  %64 = load double, ptr %7, align 8, !tbaa !5
  %65 = fdiv double %63, %64
  %66 = call double @pow(double noundef %65, double noundef 2.000000e+00) #3
  %67 = fadd double 1.000000e+00, %66
  %68 = call double @sqrt(double noundef %67) #3
  %69 = fadd double %58, %68
  %70 = fdiv double %51, %69
  %71 = fsub double %32, %70
  %72 = load double, ptr %8, align 8, !tbaa !5
  %73 = fdiv double %71, %72
  ret double %73
}

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { 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 = { 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/C++ TBAA"}


; 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 nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #0

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local double @jacobian_dxdv_no_contact(double noundef %0, double noundef %1, double noundef %2, double noundef %3, double noundef %4) local_unnamed_addr #1 {
  %6 = fneg double %2
  %7 = tail call double @llvm.fmuladd.f64(double %6, double %3, double %0)
  %8 = insertelement <2 x double> poison, double %0, i64 0
  %9 = insertelement <2 x double> %8, double %7, i64 1
  %10 = insertelement <2 x double> poison, double %1, i64 0
  %11 = shufflevector <2 x double> %10, <2 x double> poison, <2 x i32> zeroinitializer
  %12 = fdiv <2 x double> %9, %11
  %13 = fmul <2 x double> %12, %12
  %14 = fadd <2 x double> %13, <double 1.000000e+00, double 1.000000e+00>
  %15 = tail call <2 x double> @llvm.sqrt.v2f64(<2 x double> %14)
  %16 = fdiv <2 x double> %12, %15
  %17 = fadd <2 x double> %16, <double 1.000000e+00, double 1.000000e+00>
  %18 = fadd <2 x double> %12, %15
  %19 = fdiv <2 x double> %17, %18
  %shift = shufflevector <2 x double> %19, <2 x double> poison, <2 x i32> <i32 1, i32 poison>
  %20 = fsub <2 x double> %19, %shift
  %21 = extractelement <2 x double> %20, i64 0
  %22 = fdiv double %21, %2
  ret double %22
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare <2 x double> @llvm.sqrt.v2f64(<2 x double>) #2

attributes #0 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #1 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) 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 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)"}


; Effective O3 passes: AggressiveInstCombinePass,EarlyCSEPass,GVNPass,GlobalDCEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,SLPVectorizerPass,SROAPass,TailCallElimPass,VectorCombinePass