Average Error: 0.2 → 0.2
Time: 3.9s
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 r165037 = a;
        double r165038 = acos(r165037);
        double r165039 = -r165038;
        double r165040 = r165037 / r165039;
        return r165040;
}
↓
double f(double a) {
        double r165041 = a;
        double r165042 = acos(r165041);
        double r165043 = -r165042;
        double r165044 = r165041 / r165043;
        return r165044;
}

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 2019353 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))