I'd been using Webalizer (a free app) for five years when I hosted my site in my basement.
I know you said you don't want to download the log and purchase an analyser, but it's free... if awkward.
I have an ugly little PHP script that runs locally to grab the log files (which I zip on the server via a cron job), appends all of my subdomain files into One Big Log, runs Webalizer on it, then FTPs the results to my DH server.
Awfull... probably. Ugly, admittedly. But I'm a bit of a packrat and I'd wanted to archive the logs anyway, so it does both for me.
If you're unfamiliar with Webalizer, here're my results: http://thefifthimperium.com/Reports/index.html