Average Error: 0.0 → 0.0
Time: 3.9s
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 r226711 = x;
        double r226712 = y;
        double r226713 = r226711 + r226712;
        double r226714 = r226711 / r226713;
        return r226714;
}
↓
double f(double x, double y) {
        double r226715 = x;
        double r226716 = y;
        double r226717 = r226715 + r226716;
        double r226718 = r226715 / r226717;
        return r226718;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))