Average Error: 0.2 → 0.2
Time: 15.1s
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 r120698 = a;
        double r120699 = acos(r120698);
        double r120700 = -r120699;
        double r120701 = r120698 / r120700;
        return r120701;
}
↓
double f(double a) {
        double r120702 = a;
        double r120703 = acos(r120702);
        double r120704 = -r120703;
        double r120705 = r120702 / r120704;
        return r120705;
}

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 2020043 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))