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 r99454 = a;
        double r99455 = acos(r99454);
        double r99456 = -r99455;
        double r99457 = r99454 / r99456;
        return r99457;
}
↓
double f(double a) {
        double r99458 = a;
        double r99459 = acos(r99458);
        double r99460 = -r99459;
        double r99461 = r99458 / r99460;
        return r99461;
}

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))))