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

Average Error: 0.0 → 0.0

Time: 4.6s

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 r327065 = x;
        double r327066 = y;
        double r327067 = r327065 + r327066;
        double r327068 = r327065 / r327067;
        return r327068;
}

↓

double f(double x, double y) {
        double r327069 = x;
        double r327070 = y;
        double r327071 = r327069 + r327070;
        double r327072 = r327069 / r327071;
        return r327072;
}

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 2019350 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))