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

Average Error: 0.0 → 0.0

Time: 11.0s

Precision: 64

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

Math

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

↓

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

C

double f(double x, double y) {
        double r261638 = x;
        double r261639 = y;
        double r261640 = r261639 + r261638;
        double r261641 = r261638 / r261640;
        return r261641;
}

↓

double f(double x, double y) {
        double r261642 = x;
        double r261643 = y;
        double r261644 = r261643 + r261642;
        double r261645 = r261642 / r261644;
        return r261645;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

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

2. Final simplification 0.0

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

Reproduce

herbie shell --seed 2020043 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))