Average Error: 0.0 → 0.0
Time: 1.8s
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 r296066 = x;
        double r296067 = y;
        double r296068 = r296066 + r296067;
        double r296069 = r296066 / r296068;
        return r296069;
}
↓
double f(double x, double y) {
        double r296070 = x;
        double r296071 = y;
        double r296072 = r296070 + r296071;
        double r296073 = r296070 / r296072;
        return r296073;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  :precision binary64
  (/ x (+ x y)))