Average Error: 0.2 → 0.2
Time: 23.9s
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 r77119 = a;
        double r77120 = acos(r77119);
        double r77121 = -r77120;
        double r77122 = r77119 / r77121;
        return r77122;
}
↓
double f(double a) {
        double r77123 = a;
        double r77124 = acos(r77123);
        double r77125 = -r77124;
        double r77126 = r77123 / r77125;
        return r77126;
}

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 2019322 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))