More data points. Today I ran an errand after work and ended up the day with 17 miles ridden, rather than the usual 9 miles. The battery was at 50% charge back at home. I used the battery only for going uphills and was glad to have full boost to finish the ride. The lights were on about half the time. They don't seem to draw much away from the battery.
The boost stops at about 15.6 mph, according to the display. So if I keep the pace at or below that there is assistance. Without the battery the Gepida rides like a heavy cruiser. I really like the Shimano Nexus 8-speed hub, and the lack of a bunch of exterior sprockets front and back.