Average Error: 0.2 → 0.2
Time: 2.9s
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 r92445 = a;
        double r92446 = acos(r92445);
        double r92447 = -r92446;
        double r92448 = r92445 / r92447;
        return r92448;
}
↓
double f(double a) {
        double r92449 = a;
        double r92450 = acos(r92449);
        double r92451 = -r92450;
        double r92452 = r92449 / r92451;
        return r92452;
}

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 2019354 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))