Average Error: 0.0 → 0.0
Time: 1.7s
Precision: 64
\[\frac{x}{x + y}\]
↓
\[\frac{x}{x + y}\]
\frac{x}{x + y}
↓
\frac{x}{x + y}
double f(double x, double y) {
        double r232576 = x;
        double r232577 = y;
        double r232578 = r232576 + r232577;
        double r232579 = r232576 / r232578;
        return r232579;
}
↓
double f(double x, double y) {
        double r232580 = x;
        double r232581 = y;
        double r232582 = r232580 + r232581;
        double r232583 = r232580 / r232582;
        return r232583;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020033 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))