Average Error: 0.3 → 0.3
Time: 10.6s
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 r77114 = a;
        double r77115 = acos(r77114);
        double r77116 = -r77115;
        double r77117 = r77114 / r77116;
        return r77117;
}
↓
double f(double a) {
        double r77118 = a;
        double r77119 = acos(r77118);
        double r77120 = -r77119;
        double r77121 = r77118 / r77120;
        return r77121;
}

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 2019209 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))