Average Error: 0.3 → 0.3
Time: 14.6s
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 r4268204 = a;
        double r4268205 = acos(r4268204);
        double r4268206 = -r4268205;
        double r4268207 = r4268204 / r4268206;
        return r4268207;
}
↓
double f(double a) {
        double r4268208 = a;
        double r4268209 = acos(r4268208);
        double r4268210 = -r4268209;
        double r4268211 = r4268208 / r4268210;
        return r4268211;
}

Error

Bits error versus a

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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 2019172 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))