It is a long flight! I really made a mistake of not taking several days layover in Tahiti. Not only would it have broken up the flight, but it would have been a nice finish to the trip. I flew on Air Tahiti Nui in Business Class. I think it was about the best food I've had on a plane (and better than most places in NZ). Everything was French (including language and wines).
I had a couple of hours in LA, so took a quick shower. Read the whole "The Last Symbol" by Dan Brown on the flights home.
Made it up until about 10:30. Went to bed and fell right to sleep, then woke up at 2 for 3 1/2 hours. Decided I would go with melatonin the next night and that seemed to do the trick!