Average Error: 0.0 → 0.0
Time: 3.3s
Precision: 64
\[\frac{x}{y + x}\]
↓
\[\frac{x}{y + x}\]
\frac{x}{y + x}
↓
\frac{x}{y + x}
double f(double x, double y) {
        double r322248 = x;
        double r322249 = y;
        double r322250 = r322249 + r322248;
        double r322251 = r322248 / r322250;
        return r322251;
}
↓
double f(double x, double y) {
        double r322252 = x;
        double r322253 = y;
        double r322254 = r322253 + r322252;
        double r322255 = r322252 / r322254;
        return r322255;
}

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

    \[\frac{x}{y + x}\]

  2. Final simplification0.0

    \[\leadsto \frac{x}{y + x}\]

Reproduce

herbie shell --seed 2020035 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))