Average Error: 0.3 → 0.3
Time: 11.7s
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 r80425 = a;
        double r80426 = acos(r80425);
        double r80427 = -r80426;
        double r80428 = r80425 / r80427;
        return r80428;
}
↓
double f(double a) {
        double r80429 = a;
        double r80430 = acos(r80429);
        double r80431 = -r80430;
        double r80432 = r80429 / r80431;
        return r80432;
}

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 2019174 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))