Average Error: 0.3 → 0.3
Time: 2.7s
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 r160876 = a;
        double r160877 = acos(r160876);
        double r160878 = -r160877;
        double r160879 = r160876 / r160878;
        return r160879;
}
↓
double f(double a) {
        double r160880 = a;
        double r160881 = acos(r160880);
        double r160882 = -r160881;
        double r160883 = r160880 / r160882;
        return r160883;
}

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 2020056 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))