Average Error: 0.0 → 0.0
Time: 1.6s
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 r228689 = x;
        double r228690 = y;
        double r228691 = r228689 + r228690;
        double r228692 = r228689 / r228691;
        return r228692;
}
↓
double f(double x, double y) {
        double r228693 = x;
        double r228694 = y;
        double r228695 = r228693 + r228694;
        double r228696 = r228693 / r228695;
        return r228696;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))