Average Error: 0.2 → 0.2
Time: 17.9s
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 r102178 = a;
        double r102179 = acos(r102178);
        double r102180 = -r102179;
        double r102181 = r102178 / r102180;
        return r102181;
}
↓
double f(double a) {
        double r102182 = a;
        double r102183 = acos(r102182);
        double r102184 = -r102183;
        double r102185 = r102182 / r102184;
        return r102185;
}

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 2019304 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))