Frostbolt DPS w/ 40/0/21 spec

[dawnstrider]

Frostbolt Details
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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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arcane concentration + arcane potentcy
arcane instability
spell power
mind mastery

improved frostbolt
ice shards
piercing ice

arcane power


Combined effect of these talents
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-10% damage coefficient (multiplicative: 0.90)
+ (int * 0.25) bonus spell damage


+3% damage (multiplicative: 1.03)
+6% damage (multiplicative: 1.06)

+3% crit
+3% crit

crit damage = spell_damage * 2.25 (or 1.25 extra damage)
-0.5 seconds to cast frostbolt


Frostbolt Formulas
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damage_coefficient = (binary_spell_penalty * base_cast_time / 3.5) * Improved_frostbolt_penalty
damage_coefficient = 0.95 * 3 / 3.5 * 0.90
damage_coefficient = 0.73285714285714285714285714285714

frostbolt_damage = (avg_base_damage + damage_coefficient * (bonus_spell_damage + 0.25 * intellect)) * piercing_ice_bonus + arcane_instability_bonus
frostbolt_damage = (620 + 0.73285714285714285714285714285714 * (bonus_spell_damage + 0.25 * intellect) * 1.06 * 1.03
frostbolt_damage = 676.916 + 0.80013342857142857142857142857127 * (bonus_spell_damage + 0.25 * intellect)
frostbolt_damage = 676.916 + 0.80013342857142857142857142857127 * bonus_spell_damage + 0.20003335714285714285714285714275 * intellect

DPS = frostbolt_damage * (1 + frostbolt_crit_rate * extra_crit_damage) / talented_cast_time
DPS = frostbolt_damage * (1 + 1.25 * frostbolt_crit_rate) / 2.5

Arcane Power
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DPS w/ AP: DPS + DPS * 30%_multiplier * 15 seconds / 180 seconds
DPS w/ AP: DPS + DPS * 1.30 * 15 / 180
DPS w/ AP: 1.108333 * DPS



Sample Damages
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DPS for 1090 spell damage with 21% crit rate and 500 Int: ( 676.916 + 872.145437 + 100.016679 ) * ( 1 + 1.25 * 0.21 ) / 2.5
= 1649.078116 * 1.2625 / 2.5
= 832.78444858 dps

As above w/ AP: 923.00248624801714