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 r98597 = a;
        double r98598 = acos(r98597);
        double r98599 = -r98598;
        double r98600 = r98597 / r98599;
        return r98600;
}
↓
double f(double a) {
        double r98601 = a;
        double r98602 = acos(r98601);
        double r98603 = -r98602;
        double r98604 = r98601 / r98603;
        return r98604;
}

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 2020018 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))