Energizer batteries and Rayovac batteries are both good batteries that last a good long time.
But in my personal experience I find that the Rayovac batteries lasted longer especially in my flashlights than the Energizer batteries.
Energizer batteries are indeed good batteries and are well worth the cost for long lasting batteries but the Rayovac batteries will last at least 3 to 6 hours longer in a flashlight and other devices than Energizer batteries.
I used to use Energizer batteries for a long time and they were and are still good batteries until I started using Rayovac batteries and now I mostly use Rayovac batteries because they last longer.
I buy all my batteries online which are cheaper than buying in a store.