Average Error: 0.0 → 0.0
Time: 2.4s
Precision: binary64
\[\frac{x + y}{x - y}\]
↓
\[\frac{x + y}{x - y}\]
\frac{x + y}{x - y}
↓
\frac{x + y}{x - y}
(FPCore (x y) :precision binary64 (/ (+ x y) (- x y)))
↓
(FPCore (x y) :precision binary64 (/ (+ x y) (- x y)))
double code(double x, double y) {
	return (((double) (x + y)) / ((double) (x - y)));
}
↓
double code(double x, double y) {
	return (((double) (x + y)) / ((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

Target

Original0.0
Target0.0
Herbie0.0
\[\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]

Derivation

  1. Initial program Error: 0.0 bits

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

  2. Final simplificationError: 0.0 bits

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

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"
  :precision binary64

  :herbie-target
  (/ 1.0 (- (/ x (+ x y)) (/ y (+ x y))))

  (/ (+ x y) (- x y)))