AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

Average Error: 0.0 → 0.0

Time: 8.3s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\frac{x}{x + y}\]

↓

\[\frac{x}{x + y}\]

C

double f(double x, double y) {
        double r333896 = x;
        double r333897 = y;
        double r333898 = r333896 + r333897;
        double r333899 = r333896 / r333898;
        return r333899;
}

↓

double f(double x, double y) {
        double r333900 = x;
        double r333901 = y;
        double r333902 = r333900 + r333901;
        double r333903 = r333900 / r333902;
        return r333903;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

   \[\frac{x}{x + y}\]

2. Final simplification 0.0

   \[\leadsto \frac{x}{x + y}\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))