Average Error: 0.3 → 0.3
Time: 2.5s
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 r103037 = a;
        double r103038 = acos(r103037);
        double r103039 = -r103038;
        double r103040 = r103037 / r103039;
        return r103040;
}
↓
double f(double a) {
        double r103041 = a;
        double r103042 = acos(r103041);
        double r103043 = -r103042;
        double r103044 = r103041 / r103043;
        return r103044;
}

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 2020001 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))