Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[\frac{x - y}{1 - y}\]
↓
\[\frac{x}{1 - y} - \frac{y}{1 - y}\]
\frac{x - y}{1 - y}
↓
\frac{x}{1 - y} - \frac{y}{1 - y}
(FPCore (x y) :precision binary64 (/ (- x y) (- 1.0 y)))
↓
(FPCore (x y) :precision binary64 (- (/ x (- 1.0 y)) (/ y (- 1.0 y))))
double code(double x, double y) {
	return (((double) (x - y)) / ((double) (1.0 - y)));
}
↓
double code(double x, double y) {
	return ((double) ((x / ((double) (1.0 - y))) - (y / ((double) (1.0 - 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

    \[\frac{x - y}{1 - y}\]
  2. Using strategy rm

  3. Applied div-subError: 0.0 bits

    \[\leadsto \color{blue}{\frac{x}{1 - y} - \frac{y}{1 - y}}\]

  4. Final simplificationError: 0.0 bits

    \[\leadsto \frac{x}{1 - y} - \frac{y}{1 - y}\]

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1.0 y)))