Is there a way to check if two DOM elements are equal?

In modern browsers there are two methods for comparing nodes.

var a = document.createElement('div');
var b = document.createElement('div');
b.isEqualNode(a); // true

but

b.isSameNode(a); //false

And as for IE, it’s DOM elements have non-stanard attribute, uniqueID.
But I can’t imagine it can be useful in this case, since yes, you actually can compare two pointers.