I had my bike stolen from my shed back in 2001. I had all the details written down and I had a postcode stamped on the bottom bracket. I reported the theft to the police. Six months later I got a phone call from them - they had my bike! I was so chuffed.
They'd arrested some kids who were causing havoc in Market Square (Nottingham, England) and checked out the bikes on the computer as a matter of routine. So definitely report it.