Average Error: 0.2 → 0.2
Time: 3.9s
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 r105029 = a;
        double r105030 = acos(r105029);
        double r105031 = -r105030;
        double r105032 = r105029 / r105031;
        return r105032;
}
↓
double f(double a) {
        double r105033 = a;
        double r105034 = acos(r105033);
        double r105035 = -r105034;
        double r105036 = r105033 / r105035;
        return r105036;
}

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 2019352 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))