Average Error: 0.0 → 0.0
Time: 7.5s
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 r186868 = x;
        double r186869 = y;
        double r186870 = r186869 + r186868;
        double r186871 = r186868 / r186870;
        return r186871;
}
↓
double f(double x, double y) {
        double r186872 = x;
        double r186873 = y;
        double r186874 = r186873 + r186872;
        double r186875 = r186872 / r186874;
        return r186875;
}

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 2019347 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))