Average Error: 0.0 → 0.0
Time: 3.0s
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 r273713 = x;
        double r273714 = y;
        double r273715 = r273713 + r273714;
        double r273716 = r273713 / r273715;
        return r273716;
}
↓
double f(double x, double y) {
        double r273717 = x;
        double r273718 = y;
        double r273719 = r273717 + r273718;
        double r273720 = r273717 / r273719;
        return r273720;
}

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 2020089 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))