Average Error: 0.3 → 0.3
Time: 4.0s
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 r126931 = a;
        double r126932 = acos(r126931);
        double r126933 = -r126932;
        double r126934 = r126931 / r126933;
        return r126934;
}
↓
double f(double a) {
        double r126935 = a;
        double r126936 = acos(r126935);
        double r126937 = -r126936;
        double r126938 = r126935 / r126937;
        return r126938;
}

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 2020034 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))