(- 1 (/ (- 1 x) y))

Average Error: 0.0 → 0.0

Time: 660.0ms

Precision: binary64

Math

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

↓

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

C

double code(double x, double y) {
	return ((double) (1.0 - ((double) (((double) (1.0 - x)) / y))));
}

↓

double code(double x, double y) {
	return ((double) (1.0 - ((double) (((double) (1.0 - x)) / y))));
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

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

2. Final simplification 0.0

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(- 1 (/ (- 1 x) y))"
  :precision binary64
  (- 1.0 (/ (- 1.0 x) y)))