Lots of posts on this forum on those very subjects, so have a search around and you should find lots of detailed responses. But for what its worth, my take on it is:
- Charge should only be used if you are going to be able to use EV mode efficiently at your journeys end. So if you are driving on the motorway, but will be doing a significant amount of town/city driving at the end, or entering an EV zone, then you might want to use charge to give you battery range for that EV driving at the end.
- Using charge does result in higher fuel usage. the exact amount depends on speed / driving pattern. etc. but in general it is not an efficient mode of charging the battery, and usually the extra petrol you consume outweighs the extra EV range you will buy yourself.
- Using charge is far less efficient than charging from an electricity point so never use charge if you are driving home. Ideally you want to arrive home with empty battery, and then charge from mains.
- Main use of save is to alter the default usage pattern of electric versus petrol. Generally the battery is always used first, and once depleted you'll be running on petrol. If your journey starts off with 25 miles on the motorway, followed by 20 miles in the city, then you'll be doing the motorway miles on EV, and the city miles on petrol. This is the opposite of what you want from an efficiency point. Pressing save will retain your existing level of battery and force the car to run on petrol, so if you press save at the start of your journey you can then do the motorway on petrol, and retain your battery for the city, which is a far more efficient and clean method.
- Caveat to this is that I understand that pressing save with a near to full capacity battery is not entirely efficient, but others are far better placed than me to comment on that.
I'm sure you will get many more detailed replies which expand on this further, but thats my understanding of the basics.