Average Error: 0.0 → 0.0
Time: 1.2s
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 r202031 = x;
        double r202032 = y;
        double r202033 = r202031 + r202032;
        double r202034 = r202031 / r202033;
        return r202034;
}
↓
double f(double x, double y) {
        double r202035 = x;
        double r202036 = y;
        double r202037 = r202035 + r202036;
        double r202038 = r202035 / r202037;
        return r202038;
}

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 2019356 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))