Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[\frac{x}{y + x}\]
↓
\[\frac{x}{x + y}\]
\frac{x}{y + x}
↓
\frac{x}{x + y}
(FPCore (x y) :precision binary64 (/ x (+ y x)))
↓
(FPCore (x y) :precision binary64 (/ x (+ x y)))
double code(double x, double y) {
	return (x / ((double) (y + x)));
}
↓
double code(double x, double y) {
	return (x / ((double) (x + y)));
}

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 Error: 0.0 bits

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

  2. Final simplificationError: 0.0 bits

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

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))