Average Error: 0.3 → 0.3
Time: 2.5s
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 r112041 = a;
        double r112042 = acos(r112041);
        double r112043 = -r112042;
        double r112044 = r112041 / r112043;
        return r112044;
}
↓
double f(double a) {
        double r112045 = a;
        double r112046 = acos(r112045);
        double r112047 = -r112046;
        double r112048 = r112045 / r112047;
        return r112048;
}

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 2020001 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))