Average Error: 0.3 → 0.3
Time: 3.7s
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 r115445 = a;
        double r115446 = acos(r115445);
        double r115447 = -r115446;
        double r115448 = r115445 / r115447;
        return r115448;
}
↓
double f(double a) {
        double r115449 = a;
        double r115450 = acos(r115449);
        double r115451 = -r115450;
        double r115452 = r115449 / r115451;
        return r115452;
}

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 2020083 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))