Average Error: 0.3 → 0.3
Time: 2.8s
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 r130279 = a;
        double r130280 = acos(r130279);
        double r130281 = -r130280;
        double r130282 = r130279 / r130281;
        return r130282;
}
↓
double f(double a) {
        double r130283 = a;
        double r130284 = acos(r130283);
        double r130285 = -r130284;
        double r130286 = r130283 / r130285;
        return r130286;
}

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 2020025 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))