Average Error: 0.0 → 0.0
Time: 16.7s
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 r320540 = x;
        double r320541 = y;
        double r320542 = r320540 + r320541;
        double r320543 = r320540 / r320542;
        return r320543;
}
↓
double f(double x, double y) {
        double r320544 = x;
        double r320545 = y;
        double r320546 = r320544 + r320545;
        double r320547 = r320544 / r320546;
        return r320547;
}

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 2019322 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))