Average Error: 0.2 → 0.2
Time: 21.4s
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 r31582 = a;
        double r31583 = acos(r31582);
        double r31584 = -r31583;
        double r31585 = r31582 / r31584;
        return r31585;
}
↓
double f(double a) {
        double r31586 = a;
        double r31587 = acos(r31586);
        double r31588 = -r31587;
        double r31589 = r31586 / r31588;
        return r31589;
}

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 2019315 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))