Average Error: 0.3 → 0.3
Time: 12.7s
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 r87775 = a;
        double r87776 = acos(r87775);
        double r87777 = -r87776;
        double r87778 = r87775 / r87777;
        return r87778;
}
↓
double f(double a) {
        double r87779 = a;
        double r87780 = acos(r87779);
        double r87781 = -r87780;
        double r87782 = r87779 / r87781;
        return r87782;
}

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 2020046 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))