On your first ring it looks like the ring on the right is an upgrade. The crit chance will give you more damage than the avg damage range. That being said, physical resistance is one of the more sought after resistances, the one on the left will give you more survivability and the one on the right will give you more damage.
The CoE on the left is much better than the one on the right. The CoE legendary effect is a straight up multiplier and you'll get much more value from the 48% difference in the legendary effect than you would from the main stat, crit chance, and crit damage increase on the ancient CoE.
Here are a couple websites you can use to help you maximize your damage.
http://www.d3planner.com
https://docs.google.com/spreadsheets...wu4/edit#gid=0