I have checked my battery usage. It shows that the top app that drained more than 20% of my battery was Facebook, which was used for a total of... 25mins on screen and 0min on background. The next few apps follow the same pattern: very little (less than 30mins) on-screen and background activity, but accounting for 10-20% of battery usage each. And the activity periods are consistent with my actual usage. So something doesn't quite add up in the battery usage data. It's like there's a core OS background activity that's constantly running (indexing files? iCloud?) and sapping energy without registering as an "app" in the battery usage screen—except indexing files, etc. usually take at most a whole day, and I've had this problems for a few days now.