Average Error: 0.3 → 0.3
Time: 3.8s
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\frac{1}{\frac{-\cos^{-1} a}{a}}\]
\frac{a}{-\cos^{-1} a}
↓
\frac{1}{\frac{-\cos^{-1} a}{a}}
double f(double a) {
        double r130674 = a;
        double r130675 = acos(r130674);
        double r130676 = -r130675;
        double r130677 = r130674 / r130676;
        return r130677;
}
↓
double f(double a) {
        double r130678 = 1.0;
        double r130679 = a;
        double r130680 = acos(r130679);
        double r130681 = -r130680;
        double r130682 = r130681 / r130679;
        double r130683 = r130678 / r130682;
        return r130683;
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[\frac{a}{-\cos^{-1} a}\]
  2. Using strategy rm

  3. Applied clear-num0.3

    \[\leadsto \color{blue}{\frac{1}{\frac{-\cos^{-1} a}{a}}}\]

  4. Final simplification0.3

    \[\leadsto \frac{1}{\frac{-\cos^{-1} a}{a}}\]

Reproduce

herbie shell --seed 2020100 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))