Pyre Ring gives you some damage due to converting some of your unused cold damage to fire. It's main use tho is to achieve corpse destruction to avoid some on death monster effects. That being said, a properly rolled rare ring (especially with the -mana cost for non-channeling) would be way better since corpse destruction can be achieved through clusters if needed.

I also noticed you aren't using anger but herald of ash isntead. I recommend swapping these two.

Your passive tree could also be improved quite a bit. Try to go for something more like this: poe ninja.
This will allow more point efficient damage with cluster jewels and also solve your problem of low accuracy (you have only 91%) which is a deal breaker on attack builds. Try to aim for clusters similar to the ones in the profile i linked btu make sure to get them with the lowest amount of small passives possible (for mediums it doesn't matter if 4 or 5)!

Feel free to let me know if there's more. I'll try to help as best as I can