Average Error: 0.3 → 0.3
Time: 2.0m
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\frac{a}{-\cos^{-1} a}\]
double f(double a) {
        double r11610184 = a;
        double r11610185 = acos(r11610184);
        double r11610186 = -r11610185;
        double r11610187 = r11610184 / r11610186;
        return r11610187;
}
↓
double f(double a) {
        double r11610188 = a;
        double r11610189 = acos(r11610188);
        double r11610190 = -r11610189;
        double r11610191 = r11610188 / r11610190;
        return r11610191;
}


\frac{a}{-\cos^{-1} a}
↓
\frac{a}{-\cos^{-1} a}

Error

Bits error versus a

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2019101 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))