Even if they had a dedicated bike recovery task force, the most they could do is visit local pawn shops and browse community marketplaces for a bike matching the description (assuming it wasn't broken down for parts).
Now, before a bike is stolen, I'd expect police to actually patrol places where bikes are being commonly stolen from (or for that matter, places where cars are commonly broken into). That part is something I do blame them for. The fact that SF is basically synonymous with "don't leave anything in the car" is an indictment on local police.
But from the air of the police taking reports, absolutely nothing will happen. One time a cop asked me why I was bothering, did I need it for insurance or something? No, I told him, it was a crime and I figured that being police, they'd want to know. That seemed novel to him.
But I don't just want them to do something for me after my bicycle is stolen. I'd like them to be energetic enough in running down organized bike theft operations that those criminals find some other line of work. And a good way way to do that is taking individual bike thefts seriously.
Naturally we took videos and called the cops. Naturally the cops didn't show up (the store manager we left the videos and pictures with said they did show up like 7 hours later). In the subsequent 10 minutes the thief came back and stole two more bikes, while we continued to watch and video (and not physically intervene, because fighting a guy with a power tool is a really stupid idea).
If the cops showed up promptly at the very least they could have prevented two bikes from being stolen. There's a good chance they would have managed to arrest the thief too.
It can often take less that 5/10 minutes to steal a bike which is a pretty good RoR.
How could we stop it? Probably the best way would be stronger regulations on community marketplaces/pawn shops/ebay/etc. ATM, they don't GAF about selling stolen goods.