Average Error: 0.2 → 0.2
Time: 4.0s
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 r187391 = a;
        double r187392 = acos(r187391);
        double r187393 = -r187392;
        double r187394 = r187391 / r187393;
        return r187394;
}
↓
double f(double a) {
        double r187395 = a;
        double r187396 = acos(r187395);
        double r187397 = -r187396;
        double r187398 = r187395 / r187397;
        return r187398;
}

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 2019353 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))