Let me try this again. Obviously I haven't communicated the complexity of the control model implemented in the Prius' computers.
When you get into the Prius and turn on the system, all ancillary devices are initially run off the traction battery. If this were a gasoline only vehicle, we would immediately begin consuming gasoline and get no miles credited for it.
The Prius' gasoline engine is turned on briefly to warm the catalytic converter. This does not get us any miles, either, but if we haven't wasted any time getting into motion, the converter will be warmed up by the same engine heat used to move the car.
As we move down the road, the engine is only used when we exceed about
15 mph or the traction battery needs a charge. If there is a down slope and the engine is not yet running, the potential energy will be used either to increase speed or recharge the traction battery or both, recovering a portion of the energy used to climb the hill. It is not necessary to apply the brakes for this to occur. It is merely necessary to request less speed increase than the hill can provide. A gasoline only vehicle would still be consuming gasoline on this same route.When we reach a controlled intersection and come to a complete stop, the gasoline engine is turned off. All ancillary devices are run off the traction battery. Again, we aren't consuming gasoline to go nowhere.
It is my feeling that using an idling gasoline engine to run ancillary devices and never recovering any energy used to climb hills is what costs the gasoline engine only vehicle the mileage that the Prius delivers. The Prius is a better overall compromise of a design. It is the total of small changes that gains the Prius significant mileage improvement. What the Toyota engineers have done is make it far more probable that a turning gasoline engine is causing the wheels to turn, thus improving the miles for each gallon it consumes.