Average Error: 0.2 → 0.2
Time: 12.0s
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 r100956 = a;
        double r100957 = acos(r100956);
        double r100958 = -r100957;
        double r100959 = r100956 / r100958;
        return r100959;
}
↓
double f(double a) {
        double r100960 = a;
        double r100961 = acos(r100960);
        double r100962 = -r100961;
        double r100963 = r100960 / r100962;
        return r100963;
}

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 2019235 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))