I am trying to change the HTML that is output when I print $search_box in my page.tpl.php file. I understand the process of overriding something in drupal but I have no idea how to do it for the search box.
This is the only bit of information that I have found that seems related but I don't known how to apply it to solving my problem: http://api.drupalecommerce.org/api/function/search_form/6-4