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

Average Error: 0.0 → 0.0

Time: 12.3s

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 r240533 = x;
        double r240534 = y;
        double r240535 = r240533 + r240534;
        double r240536 = r240533 / r240535;
        return r240536;
}

↓

double f(double x, double y) {
        double r240537 = x;
        double r240538 = y;
        double r240539 = r240537 + r240538;
        double r240540 = r240537 / r240539;
        return r240540;
}

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