Average Error: 0.0 → 0.0
Time: 4.4s
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 r294166 = x;
        double r294167 = y;
        double r294168 = r294166 + r294167;
        double r294169 = r294166 / r294168;
        return r294169;
}
↓
double f(double x, double y) {
        double r294170 = x;
        double r294171 = y;
        double r294172 = r294170 + r294171;
        double r294173 = r294170 / r294172;
        return r294173;
}

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 2020060 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))