So looking at these three weapons, I would like to compare the quality based on the RNG. I would like to ignore most of the other primary / secondary affix's for the purpose of this question.
Here's my guess and correct me if I'm wrong...
DPS = (Total Dmg Max + Total Dmg Min) / 2 * Attack Speed
Total Dmg Min = Base Dmg Min + (Elemental) Dmg Min
Total Dmg Max = Base Dmg Max + (Elemental) Dmg Max
Attack Speed is a constant value for an item (not RNG [ignoring +Speed% affix])
Base Dmg Min not displayed in item stats and is the true RNG base damage minimum
Base Dmg Max not displayed in item stats and is the true RNG base damage maximum
(Elemental) Dmg Min is an affix and RNG
(Elemental) Dmg Max is an affix and RNG
So my assumption is that DPS, Total Dmg Min, and Total Dmg Max are all calculated fields and not true RNG numbers on their own. Is that correct? That would mean the true RNG values are what I'm calling "Base Dmg" and "(Elemental) Dmg"
Based on that, the true RNG values for these weapons are as follows...
Total Dmg | Calculated | 3824-4446 | 3896-4573 | 3504-4077 (Elemental) Dmg | True RNG | 1739-2130 | 1870-2322 | 1767-2165 Base Dmg | True RNG | 2085-2316 | 2026-2251 | 1737-1912
So based on all of this analysis, I can come to the conclusion that the first one in this list is the best in quality because the Base dmg is the highest. That person could have rerolled the elemental damage to make a higher total damage than the second and third items ever could. (Though his reroll to +10% damage was probably a better choice, but that's not what I'm arguing here.)