Average Error: 0.0 → 0.0
Time: 5.0s
Precision: 64
\[\frac{x}{x + y}\]
↓
\[\frac{x}{y + x}\]
\frac{x}{x + y}
↓
\frac{x}{y + x}
double f(double x, double y) {
        double r251767 = x;
        double r251768 = y;
        double r251769 = r251767 + r251768;
        double r251770 = r251767 / r251769;
        return r251770;
}
↓
double f(double x, double y) {
        double r251771 = x;
        double r251772 = y;
        double r251773 = r251772 + r251771;
        double r251774 = r251771 / r251773;
        return r251774;
}

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

    \[\frac{x}{x + y}\]

  2. Final simplification0.0

    \[\leadsto \frac{x}{y + x}\]

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  (/ x (+ x y)))