About the new Explorer/Adventurer rings for those wondering.

It depends on the relative values of the crit % and the extra damage %.

For an Assassin's 50% crit that does 100% damage, you have the highest crit rate and the lowest percent damage. In that case the Cruel Ring is equal.

But toss in SE, and it bumps that to
65% crit for +240% damage (+156%)
70% crit for +260% damage = +182% on average
75% crit for +250% damage = +187.5% on average

They still come out almost the same even with SE:

So without ring or SE, average damage is:
.5 x 1.0 + .5 x 2.0 = 1.5
So without ring, but with SE, average damage is:
.35 x 1.0 + .65 x 2.4 = .35 + 1.56 = 1.91
With cruel ring and SE, 5% extra chance, 20% extra damage:
.30 x 1.0 + .70 x 2.6 = .3 + 1.82 = 2.120
With crit ring, 10% extra chance, 10% extra damage:
.25 x 1.0 + .75 x 2.5 = .25 + 1.875 = 2.125

wtp am I doing wrong?