Average Error: 0.2 → 0.2
Time: 4.0s
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 r112237 = a;
        double r112238 = acos(r112237);
        double r112239 = -r112238;
        double r112240 = r112237 / r112239;
        return r112240;
}
↓
double f(double a) {
        double r112241 = a;
        double r112242 = acos(r112241);
        double r112243 = -r112242;
        double r112244 = r112241 / r112243;
        return r112244;
}

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 2020057 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))