Accelerated Chess

While looking at various news stories (such as "What's on in New London") I came across a brief description of "Accelerated Chess". Basically you get to play 1 capturing move, or 2 non-capturing moves per turn. You can only have one or the other, and I assume that check on the first move should end your turn.
I then did a little bit of searching on the game, and found at least one website offering an online version. It is http://www.pathguy.com/chess/Accelera.htm and the site also offers other variants (actually a huge number). The programs on offer aren't that strong (as the author admits) but do provide an opportunity to test out some well known and rare variants.

** Follow up ** The program gave me 1.e4 f6,h5?? 2.Qg4,Qg6# I'm assuming this is the shortest possible mate under these rules. (*Using the rules that only give white 1 move at the start - which is what the program does)