Average Error: 0.2 → 0.2
Time: 3.4s
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 r105445 = a;
        double r105446 = acos(r105445);
        double r105447 = -r105446;
        double r105448 = r105445 / r105447;
        return r105448;
}
↓
double f(double a) {
        double r105449 = a;
        double r105450 = acos(r105449);
        double r105451 = -r105450;
        double r105452 = r105449 / r105451;
        return r105452;
}

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 2020062 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))