I was at a friend's for dinner. The roast overflowed and started a rather impressive grease fire in the oven. A couple of handfuls of baking soda, and then closing the oven door, knocked it out in less than ten seconds.
By that time, the alarm company dispatched the fire department, despite verbal assurance that everything was under control. I suspect they use a two-stage smoke detector, which indicated a "fast growing fire" situation.
The fire crew were thorough, checking the actual source instead of waiting at the door (correct action IMO). They have seen grease fires before. I think they were just glad to get out of the station and roar around with the sirens wailing (kidding!).
The good news: the roast survived! I'm glad we didn't have to use a fire extinguisher -- kills fire and edibility/appetite in one shot.