Average Error: 0.3 → 0.3
Time: 2.9s
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 r95097 = a;
        double r95098 = acos(r95097);
        double r95099 = -r95098;
        double r95100 = r95097 / r95099;
        return r95100;
}
↓
double f(double a) {
        double r95101 = a;
        double r95102 = acos(r95101);
        double r95103 = -r95102;
        double r95104 = r95101 / r95103;
        return r95104;
}

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 2020036 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))