Average Error: 0.3 → 0.3
Time: 3.0s
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 r145214 = a;
        double r145215 = acos(r145214);
        double r145216 = -r145215;
        double r145217 = r145214 / r145216;
        return r145217;
}
↓
double f(double a) {
        double r145218 = a;
        double r145219 = acos(r145218);
        double r145220 = -r145219;
        double r145221 = r145218 / r145220;
        return r145221;
}

Error

Bits error versus a

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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))))