Average Error: 0.0 → 0.0
Time: 1.8s
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 r188362 = x;
        double r188363 = y;
        double r188364 = r188363 + r188362;
        double r188365 = r188362 / r188364;
        return r188365;
}
↓
double f(double x, double y) {
        double r188366 = x;
        double r188367 = y;
        double r188368 = r188367 + r188366;
        double r188369 = r188366 / r188368;
        return r188369;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))