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

Average Error: 0.0 → 0.0

Time: 7.6s

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 r410017 = x;
        double r410018 = y;
        double r410019 = r410018 + r410017;
        double r410020 = r410017 / r410019;
        return r410020;
}

↓

double f(double x, double y) {
        double r410021 = x;
        double r410022 = y;
        double r410023 = r410022 + r410021;
        double r410024 = r410021 / r410023;
        return r410024;
}

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