Average Error: 0.0 → 0.0
Time: 2.0s
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 r233907 = x;
        double r233908 = y;
        double r233909 = r233907 + r233908;
        double r233910 = r233907 / r233909;
        return r233910;
}
↓
double f(double x, double y) {
        double r233911 = x;
        double r233912 = y;
        double r233913 = r233911 + r233912;
        double r233914 = r233911 / r233913;
        return r233914;
}

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 2020081 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))