Average Error: 0.2 → 0.2
Time: 10.4s
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 r112920 = a;
        double r112921 = acos(r112920);
        double r112922 = -r112921;
        double r112923 = r112920 / r112922;
        return r112923;
}
↓
double f(double a) {
        double r112924 = a;
        double r112925 = acos(r112924);
        double r112926 = -r112925;
        double r112927 = r112924 / r112926;
        return r112927;
}

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 2020047 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))