Best way in terms of progress/total time is to reset before you do any 10 minutes Fake it. That will give you about 2 base multiplier in 15 minutes or 8 per hour on average.
Best way in terms of progress/play time is to reset daily at about 20 gained multiplier (you may need 200 base multiplier and some warps to be able to do it in a day, I had 300 base and 64x warp when I started doing this instead of the 1st one). That will give you an average of 0.8 per hour - 10 times less than the first way, but requires much less active time (only 1 reset instead of 24*4=96 per day).
If you have more warps, then there may be another point of reset with best investment of play time. But I still doubt you can beat 8/hour from the first way.
Sometimes you may wish to do a long run to unlock some milestones for girls. Some of them reward you with permanent Energy slots.