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 r272318 = x;
        double r272319 = y;
        double r272320 = r272319 + r272318;
        double r272321 = r272318 / r272320;
        return r272321;
}
↓
double f(double x, double y) {
        double r272322 = x;
        double r272323 = y;
        double r272324 = r272323 + r272322;
        double r272325 = r272322 / r272324;
        return r272325;
}

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 2019353 +o rules:numerics
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))