EZREAL DPS WHY

ezreal test build

boots of swiftness
	+65 movespeed
	slows reduced by 25%

rapid firecannon
	+30% attack speed
	+30% crit
	+8% movespeed
	energized attacks gain 35% range (up to 150) and deal 50-200 bonus magic damage

trinity force
	+250 health
	+25 ad
	+20% crit strike chance
	+15% attack speed
	+10% cdr
	+5% movespeed
	+250 mana
	basic attacks grant 10 movespeed for 2 seconds. kills grant 30 movespeed.
	after using ability, next basic attack deals 200% ad bonus physical damage

essence reaver
	+65 ad
	+20% crit
	+10% cdr
	up to total of 30% cdr based on crit
	crits restore 3% of max mana

infinity edge
	+65 ad
	+20% crit
	crit bonus damage increased by 50% (250%)

bloodthirster
	+75 ad
	+20% life steal
	basic attacks can overheal for 50-350 shield based on champ level, decays after 25 seconds

---

additive static item stat bonuses
	+90% crit
	+13% movespeed
	+65 movespeed
	+45% attack speed
	+250 health
	+230 ad
	+20% cdr
	+250 mana
	+20% lifesteal
	crits restore 3% of max mana
	crit damage is 250% of ad
	slows reduced by 25%

optimal dynamic item bonuses
	+35% (up to +150) attack range
	+200 bonus magic damage
	+20% cdr
	+30 movespeed
	200% bonus ad physical damage
	350 shield

---

runes
	+5.37% armor pen
	+4.2% magic pen
	+8.55 ad
	+9 armor
	+10.71 ap

---

masteries
	increased spell damage by 2%
	deal and take 2% extra damage
	grant 10 ad and 15 ap at level 18
	killing an enemy champion permanently increases your damage by 1% (up to 5%)
	+7% armor pen
	basic attacks and spells grant up to 80 bonus physical damage on attacks vs champions at level 18
	+3% movespeed out of combat
	buffs grant by jungle monsters last 15% longer
	deal 5% increased damage to champs below 40% max health
	champion kills and assists restore 5% max hp and mana

---

ezreal level 18 base stats

1844 hp
15.8 hp regen
1075 mana
19.1 mana regen
550 range
97 ad
0.625 attack speed

---

ezreal level 18 abilities

(passive) ez gains up to 50% bonus attack speed when consecutive hits with abilities
(q) 1150 range, 2000 missile speed, 40 mana, 4.5 cooldown, 115(+110% ad)(+40% ap) physical damage
(w) 1000 range, 1550 missile speed, 90 mana, 9 cooldown, 250(80% ap) magic damage, +40% attack speed
(e) 475 blink/750 missile range, 90 mana, 13 cooldown, 275(+50% bonus ad)(+75% ap) magic damage
(r) global range, 2000 missile speed, 100 mana, 80 cooldown, from 650 (+100% bonus ad) (+90% ap) to 30% of max magic damage

---

ezreal level 18 optimal stats full build

2094 hp
1325 mana
700 range
345.55 ad
25.71 ap
1.46875 attack speed
40% cdr
90% crit

---

optimal damages per hit (and dps) by ability / auto
(auto) 345.55*2.5(crit)=863.875+691.1(physical spellblade)+200(magic energized)+80(physical furor)=1834.975(1634.975 physical,200 magic)*[1+0.02(double edged)+0.05(bounty hunter)+0.05(executioner)]=2055.172(1831.172 physical,224 magic) | 3018.533875 dps (with firecannon) 2689.533875 (without firecannon)
(q) 115(+345)(+10.284)=470.284*1.02(increased spell damage)=479.68968+691.1(triforce)+80(furor)=1250.78968*1.12(masteries)=1400.8844416 | ~518.327 dps
(w) 250(+20.568)=270.568*1.02(increased spell damage)=275.97936+80(physical furor)=355.97936*1.12(masteries)=398.6968832(309.0968832 magic,89.6 physical) | ~73.832756 dps (up to ~369.16 when 5 targets hit)
(e) 275(+115)(+19.2825)=409.2825*1.02(increased spell damage)=417.46815+80(physical furor)=497.46815(417.46815 magic,80 physical)*1.12(masteries)=557.164328(467.564328 magic,89.6 physical) | ~71.4313241 dps
(r) 650(+230)(+23.139)=903.139*1.02(increased spell damage)=921.20178+80(physical furor)=1001.20178(921.20178 magic,80 physical)*1.12(masteries)=~1121.346(~1031.746 magic,89.6 physical) to ~399.1238(~309.5238 magic,89.6 physical) | ~23.36 to ~8.315 dps

---

optimal damage full combo

5 man ulti (1121+1009+897+785+673)=4485
energized crit auto (2055)
5 man w (1995)
spellblade crit auto (1831)
e (557)
spellblade crit auto (1831)
q (1401)
crit auto (1057)

total damage:
15212

time:
1s ulti channel
0.82s between autos before e
~0.68s between autos after e (*2)
total 2.5 seconds
6084.8 dps