Average Error: 0.2 → 0.2
Time: 3.2s
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\frac{a}{-\cos^{-1} a}\]
\frac{a}{-\cos^{-1} a}
↓
\frac{a}{-\cos^{-1} a}
double f(double a) {
        double r92720 = a;
        double r92721 = acos(r92720);
        double r92722 = -r92721;
        double r92723 = r92720 / r92722;
        return r92723;
}
↓
double f(double a) {
        double r92724 = a;
        double r92725 = acos(r92724);
        double r92726 = -r92725;
        double r92727 = r92724 / r92726;
        return r92727;
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{a}{-\cos^{-1} a}\]

  2. Final simplification0.2

    \[\leadsto \frac{a}{-\cos^{-1} a}\]

Reproduce

herbie shell --seed 2020060 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))