Average Error: 0.0 → 0.0
Time: 1.9s
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 r257664 = x;
        double r257665 = y;
        double r257666 = r257665 + r257664;
        double r257667 = r257664 / r257666;
        return r257667;
}
↓
double f(double x, double y) {
        double r257668 = x;
        double r257669 = y;
        double r257670 = r257669 + r257668;
        double r257671 = r257668 / r257670;
        return r257671;
}

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 2020020 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))