(- 1 (/ (+ r a) (+ q b)))

Average Error: 0.0 → 0.0

Time: 1.0s

Precision: binary64

Math

\[1 - \frac{r + a}{q + b}\]

↓

\[1 - \frac{r + a}{q + b}\]

C

double code(double r, double a, double q, double b) {
	return ((double) (1.0 - ((double) (((double) (r + a)) / ((double) (q + b))))));
}

↓

double code(double r, double a, double q, double b) {
	return ((double) (1.0 - ((double) (((double) (r + a)) / ((double) (q + b))))));
}

Error

Bits error versus r

Bits error versus a

Bits error versus q

Bits error versus b

Derivation

1. Initial program 0.0

   \[1 - \frac{r + a}{q + b}\]

2. Final simplification 0.0

   \[\leadsto 1 - \frac{r + a}{q + b}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (r a q b)
  :name "(- 1 (/ (+ r a) (+ q b)))"
  :precision binary64
  (- 1.0 (/ (+ r a) (+ q b))))