Just curious--when you had your phone on at 5:30, was it pretty much fully charged, or was it really down to 85%? My battery does this weird thing where, as the day progresses the initial battery gets lower and lower. My usage is fairly routine: unplug phone, turn on at 8AM on my way to my hour-long commute (usually just the Kindle app + Play music with no wifi/4G). Same thing on my way back, when work/school ends.
In the beginning of the day, it shows my phone was at 100% since 8AM--but by the time I get out of work, it says that my battery was anywhere from ~80-90% since 8AM. Is that happening to you, too?
(just took this screenshot now; it was at full charge when I turned my phone on at 8 AM (which is that chunk of usage that shows prior to 12 PM), but now it shows 90% at 8AM)
http://farm9.staticflickr.com/8094/8490836371_28c6566b90_z.jpg
^~2-3hrs' screentime mostly without 4G/wifi and partly with a screen dimmer, down to 36% after 17 hours; if anything, I think my battery improved after the update.