Average Error: 0.3 → 0.3
Time: 14.8s
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 r69011 = a;
        double r69012 = acos(r69011);
        double r69013 = -r69012;
        double r69014 = r69011 / r69013;
        return r69014;
}
↓
double f(double a) {
        double r69015 = a;
        double r69016 = acos(r69015);
        double r69017 = -r69016;
        double r69018 = r69015 / r69017;
        return r69018;
}

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 2019208 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))