Average Error: 0.2 → 0.2
Time: 24.6s
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 r108954 = a;
        double r108955 = acos(r108954);
        double r108956 = -r108955;
        double r108957 = r108954 / r108956;
        return r108957;
}
↓
double f(double a) {
        double r108958 = a;
        double r108959 = acos(r108958);
        double r108960 = -r108959;
        double r108961 = r108958 / r108960;
        return r108961;
}

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 2019303 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))