To improve the speed in which the page is displayed, why not omit displaying the "More Search Criteria" on the right side of the page. I mean, don't even include the underlying code at all, not just hiding it. That way the page would be leaner and completely rendered faster. If someone wants more search options, let her click on a link, and then fetch the HTML from the server and stick it within a <div> as needed. I almost never use the "more search criteria" area. It seems like a waste to display that rather "thick" area every single time the results are displayed.
[not needed anymore- removed by CK]
Has there been a recent site update? Like after I posted my wall message? The site seems more responsive now. In particular, the green search bar on top is appearing much faster. It used to appear a couple of seconds after the results on the page had been displayed.
The last update was on Sunday, June 16th. Which was before you posted these messages. Something must have changed on your side because nothing changed on Tatoeba's side, as far as I know.