Doomfletch's Prism + avatar of fire 100% conversion

So I am pretty sure I figured out how to convert 100% phys/cold/lightning to fire with Doomfletch's Prism using avatar of fire, call of the brotherhood,cold to fire support and lightning arrow/blast rain, but I am not sure if it is beneficial to do so.

Will bonus elemental damage apply to all 3 damage types before conversion like it would without AoF, or will it only apply once to the fire damage after conversion?

Thanks :)

Avatar of Fire changes nothing about how bonuses scale. All elemental bonuses will continue to "only apply once," with or without any conversion. The way scaling with conversion works is that "if it ever was a type/category, bonuses to that type/category can apply."

"Added Damage" works the same way.

Example:
50% increased elemental damage
50% increased fire damage
100 base physical damage

-> no conversion ->
phys-fire: 110 * (1 + 0.5 + 0.5) = 220 fire damage
phys-cold: 110 * (1 + 0.5) = 165 cold damage
phys-lightning: 110 * (1 + 0.5) = 165 lightning damage

Total: 100 phys + 220 fire + 165 cold + 165 light = 650 hit damage

-> Avatar of Fire, Call of the Brotherhood's conversion, Cold to Fire's conversion, Lightning Arrow's conversion ->
just the phys:
phys-fire: 50 * (1 + 0.5 + 0.5) = 100 fire
phys-lightning-fire: 25 * (1 + 0.5 + 0.5) = 50 fire
phys-lightning-cold-fire: 25 * (1 + 0.5 + 0.5) = 50 fire
added damage:
phys-fire: 110 * (1 + 0.5 + 0.5) = 220 fire
phys-cold-fire: 110 * (1 + 0.5 + 0.5) = 220 fire
phys-lightning-fire: 55 * (1 + 0.5 + 0.5) = 110 fire
phys-lightning-cold-fire: 55 * (1 + 0.5 + 0.5) = 110 fire

Total: 100 + 50 + 50 + 220 + 220 + 110 + 110 = 860 hit damage

Notice that since the example contained only elemental and fire increased damage, you could have calculated it shorthand much quicker:

430 base damage
430 * (1 + 0.5 + 0.5) = 860 hit damage

But if you had increased physical, cold, or lightning damage, you would need some or all of the subcategories in the 2nd example above, or do ratio analysis (also called "damage mix" by some posters around here).

EDIT: Original post was slightly inaccurate; should be good now

ok awesome. i think i got it :)

still wrapping my head around some of the damage bonuses and how they apply to things, but this is very helpful! thanks!