Average Error: 0.0 → 0.0
Time: 1.5s
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 r246613 = x;
        double r246614 = y;
        double r246615 = r246613 + r246614;
        double r246616 = r246613 / r246615;
        return r246616;
}
↓
double f(double x, double y) {
        double r246617 = x;
        double r246618 = y;
        double r246619 = r246617 + r246618;
        double r246620 = r246617 / r246619;
        return r246620;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))