Average Error: 0.2 → 0.2
Time: 3.1m
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
\[\frac{a}{-\cos^{-1} a}\]
double f(double a) {
        double r14018621 = a;
        double r14018622 = acos(r14018621);
        double r14018623 = -r14018622;
        double r14018624 = r14018621 / r14018623;
        return r14018624;
}

double f(double a) {
        double r14018625 = a;
        double r14018626 = acos(r14018625);
        double r14018627 = -r14018626;
        double r14018628 = r14018625 / r14018627;
        return r14018628;
}

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

Error

Bits error versus a

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 2019102 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))