Thursday, February 02, 2006

Theorycraft: +Spellcrit and +Healing

h = amount of +dmg or + heal
c = spell crit rate, 0 < c < 1
M= crit multiplier (usually 1.5 for spells)

p'(h) = rate of increase of power when adding +heal



For power of the spell (healing/second):

p(c,h) = [p(0,0) + Kh][1 + (M-1)c]

p'(h) = K[1 + (M -1)c] (constant)

p'(c) = [p(0,0) + Kh][M - 1] (constant)

where K = 2/7


For efficiency (without Illumination) (healing/mana):

e(c,h) = [e(0,0) + Lh][1 + (M - 1)c]

e'(h) = L[1 + (M-1)c] (constant)

e'(c) = [e(0,0) + Lh][M - 1] (constant)

where L = (2/7)*(SpellSpeed/SpellCost)


For efficiency (with Illumination) (healing/mana):

i(c,h) = [i(0,0) + Lh][ (1 + (M - 1)c)/(1 - c) ]

i'(h) = L[ [ (1 + (M-1)c)/(1 -c) ] ] (constant)

i'(c) = [i(0,0) + Lh][ M / ((1 - c)^2) ] (Exponential!!!)

Also note that i'(c) > e'(c)!

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