Average Error: 0.0 → 0.0
Time: 3.7s
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 r307896 = x;
        double r307897 = y;
        double r307898 = r307897 + r307896;
        double r307899 = r307896 / r307898;
        return r307899;
}
↓
double f(double x, double y) {
        double r307900 = x;
        double r307901 = y;
        double r307902 = r307901 + r307900;
        double r307903 = r307900 / r307902;
        return r307903;
}

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 2020047 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))