Store static copy of HTML file (for speed)?

I'm a huge fan of textile but I've noticed that if a textile file is converted to html EACH time a page is visited that'll result in a huge speed bump (specially for sites with lots of traffic). Perhaps this module should follow textpattern's lead: both the text file and a converted html file are stored in the database. Visitors to the website access the html file. The html file is updated each time the author edits the text file. No loss of speed results...

Or perhaps this is already handled in drupal's cache features?