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

Average Error: 0.0 → 0.0

Time: 7.8s

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 r220792 = x;
        double r220793 = y;
        double r220794 = r220792 + r220793;
        double r220795 = r220792 / r220794;
        return r220795;
}

↓

double f(double x, double y) {
        double r220796 = x;
        double r220797 = y;
        double r220798 = r220796 + r220797;
        double r220799 = r220796 / r220798;
        return r220799;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))