http://leagueoflegends.wikia.com/wiki/ZacBase castings intervalls at 45cdr
q = 3.15sec = 0.319 cells per sec
w = 2.75sec = 0.36cells per sec
e = 6.6sec = 0.15
so avg every 1sec, i gain 0.83 cells, when not pick up cells
for every cell i pick up, i reduce the cooldown on w with 1 sec, gaining 1/2.75=0.364extra cells
if i gain 0.83cells per sec*1.364extra cells = 1.13cells per sec
every 1 sec, i reduce the cooldown of my w, with 1.13sec extra
2.75/2.13 = ones per 1.29sec, i spam w
1-1.29/5*100% = 74.2%effective cooldown reduction on w (excl ult + snowball w effects)
1/1.29 = 0.78Cells per sec from w, after picking up cells
0.75+0.319+0.15*1.666targets at ones = 1.32 cells per sec when pick up cells
5.23%heal of max hp when pick up a cell * 1.32cells per sec = 6.66%of max health healed per sec, when current health is 66.6% of max health
passive heals for 100%max health
and ulti will heal for a extra 4*1.364*5.23=28.5%max hitpoints healed
7.9%max health healed when near death from a cell = 10.4% per sec
3.9%max health healed when cloose to max life per cell = 5.1%per sec
2230base health+216runes+500*3items * 0.0666 = 263 life healed per 1sec = 1315 life regen per 5 = 62 Heimerdonker beads