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

Average Error: 0.0 → 0.0

Time: 6.8s

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 r310588 = x;
        double r310589 = y;
        double r310590 = r310589 + r310588;
        double r310591 = r310588 / r310590;
        return r310591;
}

↓

double f(double x, double y) {
        double r310592 = x;
        double r310593 = y;
        double r310594 = r310593 + r310592;
        double r310595 = r310592 / r310594;
        return r310595;
}

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 2020042 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))