Average Error: 0.2 → 0.2
Time: 15.9s
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 r3111031 = a;
        double r3111032 = acos(r3111031);
        double r3111033 = -r3111032;
        double r3111034 = r3111031 / r3111033;
        return r3111034;
}

double f(double a) {
        double r3111035 = a;
        double r3111036 = acos(r3111035);
        double r3111037 = -r3111036;
        double r3111038 = r3111035 / r3111037;
        return r3111038;
}

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 2019163 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))