Having done a variety of drives: two tanks of gas where I exceeded 3,000 miles, and many trips using more than a tank a day.
Some disclaimers first. I work in IT for Head Start programs in Tennessee, Indiana, Illinois, and Oklahoma. Many of these locations have either a 120-volt plug on the outside or an "RV-plug" on the building. I've never had anyone object in any way for me to plug in. I have a ZenCar 16-amp
EVSE with a RV plug adapter as well as a 120-volt adapter. Every hotel I've ever stayed at has let me plug in, too. I have a ScanGauge II which I have setup to show State-Of-Charge (SOC.) SOC starts at 100% and then engine will kick on when it reaches about 10.6%. I'm assuming that is battery management programming.
Here's my "formula" for the best use for me...
Local travel - all EV except when I drive further than my tank of electrons will allow. Then I switch to HV. But my goal is to return to home (or a destination where I can plug in) with 0 EV range left. For example, I live 35 miles from Nashville. If I'm going to Nashville for an event (don't do that much these days with Covid...) then I will drive there on EV, and engage HV on the return trip until I get to approximately 10 miles of EV remaining. At approximately 12 miles from home, I switch back to EV to use the remaining electrons prior to arrival.
Trips - I start in EV mode, then when SOC reaches 80%, I switch to HV. This is done so that I have more regen capacity when stopping or going downhill. While the engine warms up, SOC may drop to around 75%. It usually holds around that 75%. At each stop, there is some EV drop, about 5% is the norm for me, again as the engine warms back to regular temperature. As I approach my destination, I switch to EV, as above, to arrive having depleted my battery.
I'm at 30K miles on mine. My Excel sheet shows that I've averaged about 120 mpg overall since purchased new two years ago. I haven't spent $500 on gasoline yet.
As stated previously by others, the gas mileage shown in the car isn't accurate. Mine has an overall discrepancy of 11%. Meaning that if the car is showing 44.4 mpg, it is actually 40 mpg.