Average Error: 0.2 → 0.2
Time: 3.5s
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 r84807 = a;
        double r84808 = acos(r84807);
        double r84809 = -r84808;
        double r84810 = r84807 / r84809;
        return r84810;
}
↓
double f(double a) {
        double r84811 = a;
        double r84812 = acos(r84811);
        double r84813 = -r84812;
        double r84814 = r84811 / r84813;
        return r84814;
}

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 2020003 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))