Average Error: 0.2 → 0.2
Time: 3.1s
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 r143994 = a;
        double r143995 = acos(r143994);
        double r143996 = -r143995;
        double r143997 = r143994 / r143996;
        return r143997;
}
↓
double f(double a) {
        double r143998 = a;
        double r143999 = acos(r143998);
        double r144000 = -r143999;
        double r144001 = r143998 / r144000;
        return r144001;
}

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 2020065 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))