Frostbolt DPS

[dawnstrider]

Frostbolt Details
-------------------
Base Damage: 597-643 (620 avg)
binary spell (-5% damage coefficient multiplicative: 0.95)
base cast time: 3.0
talented cast time: 2.5


Talents which effect frostbolt DPS
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Improved Frostbolt
Elemental Precision
Ice Shards
Piercing Ice
Winter's Chill
Arctic Winds
Empowered Frostbolt
Cold Snap
Summon Water Elemental
Frost Channeling

In a raid environment, most mobs and all bosses are immune to snare effects (frost nova and slowing), therefore frostbite and shatter are of very little use, which is why I haven't included them in this list.


Combined effect of these talents on frostbolt:
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-10% damage coefficient (multiplicative: 0.90)
+10% damage coefficent (additive: -0.10)

+5% to spell damage (multiplicative: 1.05)
+6% to spell damage (multiplicative: 1.06)
+15% crit
+3% to spell hit
-0.5 seconds to cast frostbolt
crit damage multiplier increased from 1.5 to 2.0 (or from 0.5 extra damage to 1.0 extra damage)
-18% mana cost
-10% threat



Frostbolt Formulas
---------------------

damage_coefficient = (binary_spell_penalty * base_cast / 3.5) + Empowered_Frostbolt_Bonus) * (improved_frostbolt_penalty)
damage_coefficient = ((0.95 * 3.0 / 3.5) + 0.10 ) * 0.90
damage_coefficient = 0.822857

frostbolt_damage = (avg_base_damage + damage_coefficient * bonus_spell_damage) * piercing_ice_bonus * arctic_winds_bonus
frostbolt_damage = (620 + 0.82257 * bonus_spell_damage) * 1.06 * 1.05
frostbolt_damage = 690.06 + 0.91552041 * bonus_spell_damage

DPS = frostbolt_damage * (1 + frostbolt_crit_rate * extra_crit_damage) / talented_cast_time
DPS = frostbolt_damage * (1 + crit_rate * 1.0) / 2.5
DPS = frostbolt_damage * (1 + crit_rate) / 2.5
DPS = ( 690.06 + 0.91552041 * bonus_spell_damage) * (1 + crit_rate) / 2.5



Sample Damages
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DPS for 1090 spell damage and 30% crit rate = 877.748168388 dps
Water Elemental DPS with 1090 spell damage = 89.61165 vs 70 and 77.4767390625 vs 73
combined DPS vs 73 = 955.225

DPS for 2K spell damage and 30% crit rate = 1284.464328
water elemental w/ above = 114.7959 vs 70 and 99.250621875 vs 73
combined DPS vs 73 = 1383.714949875