Average Error: 0.0 → 0.0
Time: 2.7s
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 r218373 = x;
        double r218374 = y;
        double r218375 = r218374 + r218373;
        double r218376 = r218373 / r218375;
        return r218376;
}
↓
double f(double x, double y) {
        double r218377 = x;
        double r218378 = y;
        double r218379 = r218378 + r218377;
        double r218380 = r218377 / r218379;
        return r218380;
}

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 2020089 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))