Average Error: 0.3 → 0.3
Time: 2.5s
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 r114187 = a;
        double r114188 = acos(r114187);
        double r114189 = -r114188;
        double r114190 = r114187 / r114189;
        return r114190;
}
↓
double f(double a) {
        double r114191 = a;
        double r114192 = acos(r114191);
        double r114193 = -r114192;
        double r114194 = r114191 / r114193;
        return r114194;
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

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 2020024 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))