Livesearch is a combination of Google Suggest, Related Searches, and Instant Search. With some slick use of AJAX to make searching faster, Livesearch aims to speed up search time.
Yahoo plans to introduce new search features over at AlltheWeb in the future:
AlltheWeb is a search destination that has its roots as a showcase of new and innovative technology – for example AlltheWeb was the first site to roll out the calculator functionality within the search box. The site will remain true to its roots as we continue to introduce new technologies there in the future.