Average Error: 0.0 → 0.0

Time: 10.8s

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 r16835035 = x;
        double r16835036 = y;
        double r16835037 = r16835035 + r16835036;
        double r16835038 = r16835035 / r16835037;
        return r16835038;
}

↓

double f(double x, double y) {
        double r16835039 = x;
        double r16835040 = y;
        double r16835041 = r16835040 + r16835039;
        double r16835042 = r16835039 / r16835041;
        return r16835042;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.0
\[\frac{x}{x + y}\]
Final simplification0.0
\[\leadsto \frac{x}{y + x}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A"
  (/ x (+ x y)))