Average Error: 0.2 → 0.2
Time: 15.0s
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 r119818 = a;
        double r119819 = acos(r119818);
        double r119820 = -r119819;
        double r119821 = r119818 / r119820;
        return r119821;
}
↓
double f(double a) {
        double r119822 = a;
        double r119823 = acos(r119822);
        double r119824 = -r119823;
        double r119825 = r119822 / r119824;
        return r119825;
}

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 2020042 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))