From your profile (at twitter.com/#!/search)
From the subdomain at search.twitter.com (formerly known as Summize)
While being powered by the same engine, these two may provide slightly different results:
|People Search Option||Yes||No|
|Top tweets||Yes (called “Top Tweet”)||Yes (signed as “XX+ Recent Tweets)|
|The option to remove top tweets||No||Yes (by clicking “Refresh” link)|
|The option to retweet and favorite any tweet||Yes||No|
|The option to reply to any tweet||Yes||Yes|
|Advanced search option||Yes (The same options as the search.twitter.com has but through the search operators**)||Yes (exact match, exclude any word, one of these words, near any place, filter by language, related to some person, near some place, date range, filter by an enotion / smilie), search for questions, include retweets)|
* I wasn’t able to find any conformation about that – so this point is based on my personal observations.
** twitter.com/search has the same advanced search options but there’s no separate page to set them.