Average Error: 0.3 → 0.3
Time: 21.7s
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 r80263 = a;
        double r80264 = acos(r80263);
        double r80265 = -r80264;
        double r80266 = r80263 / r80265;
        return r80266;
}
↓
double f(double a) {
        double r80267 = a;
        double r80268 = acos(r80267);
        double r80269 = -r80268;
        double r80270 = r80267 / r80269;
        return r80270;
}

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 2019347 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))