Bagger,
If you are getting .5 inches in 15 minutes then you have a precipitation rate of 2.0 inches per hour, common for a spray type head under high pressure conditions as I find in the Dallas area.
At this rate, you dont need very long runtimes as you are not watering a golf course or a football field. Homeowner turf has a lower water requirement. If you site was an example in one of my classes I would tell my students to water 20-30 minutes per week total. To determine how often you should run your system, take a shovel in your yard and just measure how deep your turf roots are, however you are in restrictions so the science of irrigation schedule kinda goes out the window. So this means 15 minutes-2days a week will suffice. If you observed water running off when you did your 15 minute test then you should split it into 2 cycles per day (8 minutes twice a day, 2 days a week).
If your really interested in saving water (and money) and maintaining a healthy lawn, check out my website
http://TexasET.tamu.edu . You can see how many inches of water your lawn needs a week and sign up to receive weekly emails for irrigation recommendations.