Average Error: 0.2 → 0.2
Time: 51.5s
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 r80760 = a;
        double r80761 = acos(r80760);
        double r80762 = -r80761;
        double r80763 = r80760 / r80762;
        return r80763;
}
↓
double f(double a) {
        double r80764 = a;
        double r80765 = acos(r80764);
        double r80766 = -r80765;
        double r80767 = r80764 / r80766;
        return r80767;
}

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 2019323 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))