\frac{\left(x - y\right) \cdot \left(x + y\right)}{x \cdot x + y \cdot y}double code(double x, double y) {
return ((double) (((double) (((double) (x - y)) * ((double) (x + y)))) / ((double) (((double) (x * x)) + ((double) (y * y))))));
}
herbie shell --seed 2020148
(FPCore (x y)
:name "Kahan p9 Example"
:precision binary64
:pre (and (< 0.0 x 1.0) (< y 1.0))
:herbie-target
(if (< 0.5 (fabs (/ x y)) 2.0) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (- 1.0 (/ 2.0 (+ 1.0 (* (/ x y) (/ x y))))))
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))