Which rings should I be wearing?

If I did the math correctly, then both the explorer cruel ring and the pivotal ring give the same bonus (This was also wrong), but the explorer critical ring will give you a higher bonus so swap cruel with crit (Sorry, that was wrong), and replace the sylph ring? But that's purely based on crit and % str damage boost comparisons.

If we assume half effective, then:

Cruel Ring takes you from 80% Crit, 33% Min, 79% Max (56% Average, 28% halved) to current stats, which is a boost of ~4.9%

Crit Ring takes you from 80% Crit, 33% Min, 79% Max to 90% Crit, 43% Min, 79% Max (61% Average, 30% Halved), which is a boost of ~4%

Pivotal Ring takes you from 70% Crit, 48% Min, 79% Max (63% Average, 31% Halved) to current stats, which is a boost of ~5.7%

Sylph Ring takes you from 85% Crit, 43% Min, 79% Max to current stats, a boost of ~2.4%

And finally the Tempest Ring takes you from ~185% STR to ~200% STR, which is a boost of ~5.3%

I think the Sylph Ring would probably be your best bet for the replacement, but that doesn't factor in chance attack, or stats (but I don't think it's close enough such that the stats would make that big of a difference?). Stat wise, it has the smallest difference with the Superior ring, so it could potentially have the smallest change in damage boost.