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Flame Burst Damage Query (non-elemental cylinder)
Alchemy Mastery Bonus should be interpreted as .15, not 1.15. Where 1.15 is appropriate, (1 + Alchemy Mastery Bonus) is used in the formulas (on other alchemy skills).
As far as the formula is concerned, I couldn't find a specific formula so I assumed it worked the same as Water Cannon, since that's the only other skill with an extra damage parameter. Your data would seem to show the Additional Damage also being multiplied by the charge count, however, so some revision may be needed.
From generalization with other damage types (melee/range/magic), Critical *should* be added as Critical Modifier * Max Damage, however jpwiki had it listed as a single modifier (fine for predicting max damage), presumably interpreted as (1 + Critical Modifier) (so r1 would be 250%). Without any testing data to back it up, I didn't see fit to modify what they had.