double Derivative5_3(i, f)
int i;
double f[];
{
  double tmp;
  tmp = 4.16666666667e-2 *
        (2.0 * f[i - 2] - 16.0 * f[i - 1] + 16.0 * f[i + 1] - 2.0 * f[i + 2]);
  return tmp;
}


x86 assembly (clang, -O0):
<Derivative5_3>:
push   %rbp
mov    %rsp,%rbp
mov    %edi,-0x4(%rbp)
mov    %rsi,-0x10(%rbp)
mov    -0x10(%rbp),%rax
mov    -0x4(%rbp),%ecx
sub    $0x2,%ecx
movslq %ecx,%rcx
movsd  (%rax,%rcx,8),%xmm0
mov    -0x10(%rbp),%rax
mov    -0x4(%rbp),%ecx
sub    $0x1,%ecx
movslq %ecx,%rcx
movsd  0xed6(%rip),%xmm1
mulsd  (%rax,%rcx,8),%xmm1
movq   %xmm1,%rax
movabs $0x8000000000000000,%rcx
xor    %rcx,%rax
movq   %rax,%xmm1
addsd  %xmm0,%xmm0
addsd  %xmm1,%xmm0
mov    -0x10(%rbp),%rax
mov    -0x4(%rbp),%ecx
add    $0x1,%ecx
movslq %ecx,%rcx
movsd  (%rax,%rcx,8),%xmm1
movsd  0xe98(%rip),%xmm2
mulsd  %xmm2,%xmm1
addsd  %xmm0,%xmm1
mov    -0x10(%rbp),%rax
mov    -0x4(%rbp),%ecx
add    $0x2,%ecx
movslq %ecx,%rcx
movsd  (%rax,%rcx,8),%xmm0
addsd  %xmm0,%xmm0
subsd  %xmm0,%xmm1
movsd  0xe66(%rip),%xmm0
mulsd  %xmm1,%xmm0
movsd  %xmm0,-0x18(%rbp)
movsd  -0x18(%rbp),%xmm0
pop    %rbp
ret

x86 assembly (clang, -O2):
<Derivative5_3>:
movslq %edi,%rax
movsd  -0x8(%rsi,%rax,8),%xmm0
mulsd  0xeef(%rip),%xmm0
movsd  -0x10(%rsi,%rax,8),%xmm1
addsd  %xmm1,%xmm1
addsd  %xmm0,%xmm1
movsd  0x8(%rsi,%rax,8),%xmm0
mulsd  0xedb(%rip),%xmm0
addsd  %xmm1,%xmm0
movsd  0x10(%rsi,%rax,8),%xmm1
addsd  %xmm1,%xmm1
subsd  %xmm1,%xmm0
mulsd  0xec9(%rip),%xmm0
ret

LLVM IR (-O0):
define double @Derivative5_3(i32 %0, double* %1) {
%3 = alloca i32
%4 = alloca double*
%5 = alloca double
store i32 %0, i32* %3
store double* %1, double** %4
%6 = load double*, double** %4
%7 = load i32, i32* %3
%8 = sub nsw i32 %7, 2
%9 = sext i32 %8 to i64
%10 = getelementptr inbounds double, double* %6, i64 %9
%11 = load double, double* %10
%12 = load double*, double** %4
%13 = load i32, i32* %3
%14 = sub nsw i32 %13, 1
%15 = sext i32 %14 to i64
%16 = getelementptr inbounds double, double* %12, i64 %15
%17 = load double, double* %16
%18 = fmul double 1.600000e+01, %17
%19 = fneg double %18
%20 = call double @llvm.fmuladd.f64(double 2.000000e+00, double %11, double %19)
%21 = load double*, double** %4
%22 = load i32, i32* %3
%23 = add nsw i32 %22, 1
%24 = sext i32 %23 to i64
%25 = getelementptr inbounds double, double* %21, i64 %24
%26 = load double, double* %25
%27 = call double @llvm.fmuladd.f64(double 1.600000e+01, double %26, double %20)
%28 = load double*, double** %4
%29 = load i32, i32* %3
%30 = add nsw i32 %29, 2
%31 = sext i32 %30 to i64
%32 = getelementptr inbounds double, double* %28, i64 %31
%33 = load double, double* %32
%34 = call double @llvm.fmuladd.f64(double -2.000000e+00, double %33, double %27)
%35 = fmul double 0x3FA5555555556819, %34
store double %35, double* %5
%36 = load double, double* %5
ret double %36
}

LLVM IR (-O2):
define double @Derivative5_3(i32 %0, double* nocapture %1) {
%3 = add nsw i32 %0, -2
%4 = sext i32 %3 to i64
%5 = getelementptr inbounds double, double* %1, i64 %4
%6 = load double, double* %5
%7 = add nsw i32 %0, -1
%8 = sext i32 %7 to i64
%9 = getelementptr inbounds double, double* %1, i64 %8
%10 = load double, double* %9
%11 = fmul double %10, -1.600000e+01
%12 = tail call double @llvm.fmuladd.f64(double %6, double 2.000000e+00, double %11)
%13 = add nsw i32 %0, 1
%14 = sext i32 %13 to i64
%15 = getelementptr inbounds double, double* %1, i64 %14
%16 = load double, double* %15
%17 = tail call double @llvm.fmuladd.f64(double %16, double 1.600000e+01, double %12)
%18 = add nsw i32 %0, 2
%19 = sext i32 %18 to i64
%20 = getelementptr inbounds double, double* %1, i64 %19
%21 = load double, double* %20
%22 = tail call double @llvm.fmuladd.f64(double %21, double -2.000000e+00, double %17)
%23 = fmul double %22, 0x3FA5555555556819
ret double %23
}