Average Error: 0.2 → 0.2
Time: 21.3s
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 r70907 = a;
        double r70908 = acos(r70907);
        double r70909 = -r70908;
        double r70910 = r70907 / r70909;
        return r70910;
}
↓
double f(double a) {
        double r70911 = a;
        double r70912 = acos(r70911);
        double r70913 = -r70912;
        double r70914 = r70911 / r70913;
        return r70914;
}

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 2019323 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))