The True Value of Infernal Drake - A Nuanced Damage Analysis

Aqua Dragon·8/30/2016, 4:37:29 PM·157 votes·10,350 views

Aqua Dragon here, ready to show that 8% isn't necessarily 8%.

After slaying the Infernal Drake, the team receives the following buff.

> Infernal Tribute

> Grants 8 / 16 / 24% increased attack damage and ability power.

It's tempting to say that this increases a team's damage output by 8%, but this is evidently false. What about champions like Veigar, who rack up monstrous amounts of AP? How about Darius, who builds a little AD afterward but not a ton? Will an ADC benefit more or an AD Assassin?

##In this post, I'm going to go over the big conclusions, then go through each individual champion calculated, and finally discuss the methodology.


#The Results

I discuss the methodology at the end of the post. The short summary is that I used this calculator I created for each of the champions and tested their estimated builds at Level 8, Level 14, and Level 18. Then, I applied an Infernal Drake to their build to get the relative damage increase.

The Relative Damage Increase means that if say, Ashe has 100 DPS at Level 8 with two items before the Infernal, and has 107.3 DPS after the Infernal, then Ashe's damage has relatively increased by 7.3%.

The relative benefit is linear with each drake. If the first drake gives 4% more damage, the second will give 8% total more damage, and the third will give 12%.

##Graphic of the Worst to Best Users of Infernal Drake

Champion | Relative Damage Bonus Gragas: 1% Darius: 2.5%, down to 1.5% **Lux: ** 1% - 3.1% **Jax: ** 2.6% - 3.6% **Fizz: ** 2.4% - 3.8% **Ryze: ** 4% (Level 18)~ Veigar: 3.5% - 4.3% Kha'zix: 2.1% - 5.4% Fiora: 4.4% - 6.3% Vayne: 5.4% - 6% Ashe: 7.3% Lucian: 6.6% - 7.5% Draven: 8% Jhin: 12%

~Ryze's calculator would have been complex, and so I instead opted to estimate from an assistant's video of Ryze at Level 18. The amount may be less at lower levels, likely similar to Veigar.


#Discussion

AP Champions get the short end of the Infernal stick. The absolute highest AP monstrosity around, Veigar, can't even compete against an AD Caster in relative benefit. AP Assassins get less than AD Assassins, and AP Bruisers get less than AD Bruisers. Note though that getting less from Infernal may not necessarily be unfair; there's an argument that AP champions burst benefits more from relative increases more than DPS, and that the poking pattern of APs makes up for it. I leave that as an exercise to the reader.

Standard AP Casters like Lux and Orianna get an especially weak benefit, far less than might be expected. Even at maximum build, Standard AP Casters get only a 3% damage bonus.

Bruisers actually become worse with Infernal as the game goes on, since they tend to build tanky after an initial damage item. Even then, the benefit they get is extremely small.

Even one of the weakest-AD-scaling ADCs (Vayne) gets a larger benefit than one of the highest AD scaling casters (Kha'zix). The bonus damage ADCs receive from critical chance, combined with their autoattack-reliant fighting pattern (which itself is a 1.0 AD scaling) means that ADCs always get the largest benefit from Infernal. Kog'maw is likely the only exception, due to the next point:

The benefits given to hybrid damage champions, like Jax and some versions of Teemo, are vastly overstated. After getting lackluster results from Jax's full build, I even forced a Guinsoos as their last item and it still wasn't enough to get a huge benefit from Infernal. However, note that very few true hybrids exist anymore; Kayle and Teemo generally build raw AP instead, and while champions like Kog'maw and Corki deal hybrid damage, they don't tend to build hybrid per se (mix of AP and AD).

Speaking of benefits, the relative damage bonus of the Infernal Drake does not always get better as the game goes on. Draven will always get 8% extra DPS from the Infernal, whether taken at Level 8 with two items or at Level 18 with all six items. Same with Ashe, Gragas, Jhin, and Lucian. Check the data below if curious how it changes with the levels and items!

Though not shown in the table above, take my word for it: the amount of armor / MR of the target is irrelevant to the bonus given by the drake. Even with items like Lord Dominiks and Cleaver, the relative bonus was very close to identical (at worst, being about 0.3% of a difference).


The Champion Data

Jhin

The monster outlier incarnate, Jhin's passive, in conjunction with Infernal, provides absolutely insane amounts of relative damage from the Infernal Drake, more than the Infernal Drake's percentage even gives! The process to find the Infernal benefit was not easy, but you can read all about -x^2 / 22500 + (7x / 90) + (56/9) over here

One more thing to note about Jhin: it was mentioned that the Infernal benefit scales linearly per drake (First is 5%, Second is 10%, Third is 15%). Jhin doesn't play by these rules; Jhin actually get more than three times the benefit with three drakes. (up to 37.3% more DPS)

Note though that the %missing HP damage on the fourth shot could not be accounted for in these calculations; it would put Jhin's true percentages a little lower, but not by much.

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All magic damage and %missing HP effects are excluded fom these calculations.

Burst is one single-person Dancing Grenade and a Deadly Flourish

The lower end of the DPS is the DPS over the first three shots, while the higher end is the DPS over all four shots.

Total Damage is the total damage from all four shots. Total DPS is the DPS over all four shots in addition to the reload time of 2.5 seconds.

The numbers in parenthesis are with Ghostblade active.

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Level 8 Dorans, Ghostblade, Boots of Swiftness

Type | Damage Pre-Drake Burst: 319 (332) Pre-Drake DPS: 108 – 122 (118 – 133) Pre-Drake Four Total: 665 over 2.93 Seconds (723) Pre-Drake Final DPS: 84 (91)

Post-Drake Burst: 336 (350) Post-Drake DPS: 121 – 137 (132 – 149) Post-Drake Four Total: 745 over 5.45 Seconds (811) Post-Drake Final DPS: 94 (102)

Burst Percentage Change: 5.3% DPS Percentage Change: 12%

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Level 14 Duskblade, Rapid Firecannon

Type | Damage Pre-Drake Burst: 441 (457) Pre-Drake DPS: 228 – 256 (243 – 273) Pre-Drake Four Total: 1203 over 4.7 Seconds (1284) Pre-Drake Final DPS: 167 (178)

Post-Drake Burst: 469 (486) Post-Drake DPS: 255 – 287 (272 – 306) Post-Drake Four Total: 1346 over 4.7 Seconds (1435) Post-Drake Final DPS: 187 (199)

Burst Percentage Change: 6.3% DPS Percentage Change: 11.7%

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Level 18 Infinity Edge, Lord Dominik’s Regards

Type | Damage

Pre-Drake Burst: 593 (615) Pre-Drake DPS: 541 – 660 (571 – 696) Pre-Drake Four Total: 2797 over 4.24 Seconds (2950) Pre-Drake Final DPS: 415 (438)

Post-Drake Burst: 641 (665) Post-Drake DPS: 606 – 738 (639 – 779) Post-Drake Four Total: 3130 over 4.24 Seconds (3302) Post-Drake Final DPS: 464 (490)

Burst Percentage Change: 8.1%

DPS Percentage Change: 11.8%

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Triple-Drake | Damage

Total AD: 961 Triple Post-Drake Burst: 742 (773) Triple Post-Drake DPS: 744 – 907 (785 – 957) Triple Post-Drake Four Total: 3843 over 4.24 Seconds (4055) Triple Post-Drake Final DPS: 570 (602)

Burst Percentage Change: 25% DPS Percentage Change: 37.3%


##Draven

I always had high hopes for Draven in this analysis and they did not disappoint. Even with only half the axes being caught, they get some insane benefits from Infernal, even early on.

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Burst is one Stand Aside and Half of Whirling Death

DPS assumes half of the axes are being caught. Higher DPS has Youmuu’s activated.

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Level 8 Dorans, Ghostblade, Zerks

Type | Damage

**Pre-Drake Burst:**314 Pre-Drake DPS: 230 - 277

Post-Drake Burst: 322 Post-Drake DPS: 248 - 300

Burst Percentage Change: 2.5% DPS Percentage Change: 7.8% - 8.3%

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Level 14 Mercurial, Phantom Dancer

Type | Damage

Pre-Drake Burst: 356 Pre-Drake DPS: 426 - 489

Post-Drake Burst: 367 Post-Drake DPS: 460 - 528

Burst Percentage Change: 3.0% DPS Percentage Change: 7.9%

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Level 18 Infinity Edge, Lord Dominiks

Type | Damage

Pre-Drake Burst: 567 Pre-Drake DPS: 835 - 953

Post-Drake Burst: 585 Post-Drake DPS: 902 - 1029

Burst Percentage Change: 3.2% DPS Percentage Change: 8.0%


##Lucian

Lucian is a very interesting case. As the Cleaver stacks add up and Fervor of Battle begins reaching maximum power, the relative benefit that Lucian gets from the Drake starts to decrease. Even with this reduction however, Lucian's DPS increase is functionally higher than nearly everyone else.

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Ardent Censer’s Damage is excluded, but the spell is still cast.

Burst is one Piercing Light, the full Culling, and four autos (three of which proc Lightslinger)

DPS rotation is two Piercing Lights, Three Lightslinger procs, and autoattacks over the duration, all divided by the duration (Piercing Light CD + 1.5)

Lower end of DPS is before Cleaver, higher end is after Cleaver and Fervor. Parenthesis on DPS is after Youmuus.

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Level 8 Dorans, Ghostblade, Zerks

Type | Damage

Pre-Drake Burst: 1703 Pre-Drake DPS: 212 – 258 (244 – 301)

Post-Drake Burst: 1800 Post-Drake DPS: 226 – 272 (261 – 318)

Burst Percentage Change: 5.6% DPS Percentage Change: 6.6% down to 5.4%

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Level 14 Cleaver, Phantom Dancer

Type | Damage

Pre-Drake Burst: 2161 - 2576 Pre-Drake DPS: 349 – 507 (390 – 570)

Post-Drake Burst: 2284 - 2723 Post-Drake DPS: | 374 – 536 (418 – 604)

Burst Percentage Change: 5.6% DPS Percentage Change: 7.1% down to 5.7%

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Level 18 Infinity Edge, Bloodthirster

Type | Damage

Pre-Drake Burst: 2745 - 3486 Pre-Drake DPS: 504 – 723 (564 – 813)

Post-Drake Burst: 2928 - 3705 Post-Drake DPS: 542 – 771 (607 – 868)

Burst Percentage Change: 6.3% DPS Percentage Change: 7.5% down to 6.6%


##Ashe

Because Ashe is a utility ADC, I fully expected their damage to have difficulty competing with the others. However, the unique way that crit chance functions on Ashe's passive does a significant job at keeping their Infernal bonus competitive with the other ADCs

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Burst is Ult into Volley into two Flurried Autos

Low end of the DPS is without Ranger’s Focus, while the high end is with it, with both ends having Volley divided by its cooldown.

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Level 8 Dorans, Essence Reaver, Zerks

Type | Damage

Pre-Drake Burst: 584 Pre-Drake DPS: 188 - 237

Post-Drake Burst: 614 Post-Drake DPS: 202 - 254

Burst Percentage Change: 5.1% DPS Percentage Change: 7.3%

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Level 14 Dorans, Runaans, Infinity Edge

Type | Damage

Pre-Drake Burst: 1028 Pre-Drake DPS: 487 – 637

Post-Drake Burst: 1156 Post-Drake DPS: 523 - 685

Burst Percentage Change: 5.6% DPS Percentage Change: 7.4%

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Level 18 Lord Dominiks, Bloodthirster

Type | Damage

Pre-Drake Burst: 1443 Pre-Drake DPS: 733 – 964

Post-Drake Burst: 1530 Post-Drake DPS: 789 - 1038

Burst Percentage Change: 5.7% DPS Percentage Change: 7.5%


##Vayne

Vayne has some pretty lame AD ratios on the rest of their kit, considering how Condemn can't be spammed, really only leaving Tumble. Despite this, Vayne manages to outclass every champion that's not an ADC.

Note though that the BotRK %Missing HP passive could not be accounted for in these calculations; it would put Vayne's true percentages a little lower, but not by much.

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%missing HP from BotRK is not counted. The burst still is.

Burst is Ult active with one Tumble, a successful wall pin, and three autos (with a Silver Bolts proc)

DPS is autoattacks multiplied by attack speed, Silver Bolt damage divided by three then multiplied by attack speed, and Tumble damage divided by its cooldown.

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Level 8 Dorans, Blade of the Ruined King, Zerks

Type | Damage

Pre-Drake Burst: 660 Pre-Drake DPS: | 219

Post-Drake Burst: 687 Post-Drake DPS: 231

Burst Percentage Change: 4% DPS Percentage Change: 5.4%

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Level 14 Phantom Dancer, Infinity Edge

Type | Damage

Pre-Drake Burst: 1167 Pre-Drake DPS: | 599

Post-Drake Burst: 1227 Post-Drake DPS: 635

Burst Percentage Change: 5.1% DPS Percentage Change: 6%

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Level 18 Mercurial, Lord Dominiks

Type | Damage

Pre-Drake Burst: 1833 Pre-Drake DPS: | 973

Post-Drake Burst: 1924 Post-Drake DPS: 1031

Burst Percentage Change: 5% DPS Percentage Change: 5.9%


##Fiora

With the absolute bonkers true damage from Fiora's passive, I was looking forward to seeing an AD Caster who could possibly trump the ADCs in relative bonus from the Infernal. Sadly, even the Grand Duelist was unable to overcome it, though "2nd place" is a nice perk.

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Small Burst is one Lunge into a Passive Proc, followed by two autos, one with enhanced damage from Bladework, and Hydra Active.

Ult Burst is all four ult passives being procd by one Lunge and three autos, one with enhanced Bladework damage, and Hydra active. After Level 9, there are two lunges instead of one.

The higher burst range is after the target has been affected by all Cleaver stacks, if applicable.

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Level 8 Ravenous Hydra, Mercury Treads

Type | Damage

Pre-Drake Small Burst: | 686 Pre-Drake Ult Burst: | 1070

Post-Drake Small Burst: | 716 Post-Drake Ult Burst: | 1120

Small Burst Percentage Change: 4.4% Ult Burst Percentage Change: 4.7%

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Level 14 Cleaver, Bloodthirster

Type | Damage

Pre-Drake Small Burst: | 983 - 1125 Pre-Drake Ult Burst: | 1938 - 2138

Post-Drake Small Burst: | 1038 - 1187 Post-Drake Ult Burst: | 2051 - 2262

Small Burst Percentage Change: 5.5% Ult Burst Percentage Change: 5.8%

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Level 18 Randuins, Death’s Dance

Type | Damage

Pre-Drake Small Burst: | 1081 - 1251 Pre-Drake Ult Burst: | 2610 - 2850

Post-Drake Small Burst: | 1147 - 1327 Post-Drake Ult Burst: | 2778 - 3032

Small Burst Percentage Change: 6.1% Ult Burst Percentage Change: 6.3%


##Kha'zix

Kha'zix is the counterpart of Veigar when it comes to raw, bristling AD might, though even their claws can't match up to the ADCs. The amount of raw damage granted by one Infernal can be pretty impressive though (180!)

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Both Burst and DPS assume an isolated target. By Level 8, Claws are evolved.

Burst is One Leap and Void Spikes, and two Taste Their Fears, Passives, and Autos. Hydra, if applicable.

DPS Rotation is over 2.5 seconds. One Taste Their Fear, and Two Autos, but no passive applications. Higher end of the DPS assumes Void Assault is ready, adding one passive application per damage rotation.

The Duskblade passive %Missing HP damage is not counted.

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Level 8 Warrior, Lucidity

Type | Damage

Pre-Drake Burst: 1772 Pre-Drake DPS: 290 - 335

Post-Drake Burst: 1810 Post-Drake DPS: 299 - 343

Burst Percentage Change: 2.1% DPS Percentage Change: 3.1% down to 2.4%

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Level 14 Ghostblade, Duskblade

Type | Damage

Pre-Drake Burst: 2003 Pre-Drake DPS: 372 - 407

Post-Drake Burst: 2090 Post-Drake DPS: 391 - 426

Burst Percentage Change: 4.3% DPS Percentage Change: 5.1% down to 4.6%

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Level 18 Ravenous Hydra, Lord Dominiks

Type | Damage

Pre-Drake Burst: 2693 Pre-Drake DPS: | 473 - 509

Post-Drake Burst: 2841 Post-Drake DPS: | 501 - 537

Burst Percentage Change: 5.4% DPS Percentage Change: 5.9% down to 5.5%


##Veigar

I had such high hopes for Veigar. It's not like they even lacking in AP; at level 18, they have a whopping 1078 AP! With Infernal, that goes all the way up to 1143!

...that's still only a 4.3% damage increase. I mean, don't get me wrong, it's a nice chunk of damage, but 160 extra burst feels kind of lame considering the initial burst already is doing 3750 damage.

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Burst is one of each spell, with a full power ult; the relative bonus from the Infernal was the same regardless of the ult's power.

And before some smart aleck asks: the passive stacks are counted. They're right next to the item names.

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Level 8 Dorans, Morello, Sorcs, 50 Stacks

Type | Damage

Pre-Drake Burst: 1256 Post Drake Burst: 1300

Percentage Change: 3.5%

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Level 14 Void Staff, Rabadons, 150 Stacks

Type | Damage

Pre-Drake Burst: 2932 Post Drake Burst: 3045

Percentage Change: 3.8%

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Level 18 Zhonyas, Ludens, 300 Stacks

Type | Damage

Pre-Drake Burst: 3749 (1079 AP) Post Drake Burst: 3913 (1143 AP)

Percentage Change: 4.3%


##Ryze

As mentioned earlier, I was pretty tired of making calculators, and Ryze would have been a fairly complicated one to make. Instead, a gracious viewer of mine, jetio4, made a video showcasing Ryze's bonus Infernal damage at level 18.

4% Increase at Level 18, Full Build

Note that this means Ryze probably has less increases at lower levels. Frankly though, it likely just follows a similar pattern as Veigar, going from 3% to 4%.


##Fizz

Fizz is fairly popular and seemed like a perfect candidate for the quintessential AP Assassin. The only caveat is that their %Missing HP damage could not be accounted for, but the picture painted by these numbers is fairly accurate even when I brute forced some experimental amounts.

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%Missing HP is ignored.

Burst is one of each spell and one Lichbane proc.

DPS is Urchin Strike and Playful divided by their cooldowns, with the DoT of Seastone trident, with enhanced Trident autos multiplied by attack speed, and Lich Bane procs assumed every three seconds.

The higher end of the DPS assumes the Ult was just applied for the higher magic damage.

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Level 8 Doran, Abyssal Scepter, Sorcerer Shoes

Type | Damage

Pre-Drake Burst: 1079 Pre-Drake DPS: 100 - 119

Post-Drake Burst: 1105 Post-Drake DPS: 104 - 123

Burst Percentage Change: 2.4% DPS Percentage Change: 4% down to 3.3%

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Level 14 Lich Bane, Zhonyas

Type | Damage

Pre-Drake Burst: 1825 Pre-Drake DPS: 258 - 308

Post-Drake Burst: 1892 Post-Drake DPS: 270 - 323

Burst Percentage Change: 3.6% DPS Percentage Change: 4.7%

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Level 18 Doran, Abyssal Scepter, Sorcerer Shoes

Type | Damage

Pre-Drake Burst: 3061 Pre-Drake DPS: 525 - 628

Post-Drake Burst: 3179 Post-Drake DPS: 549 - 657

Burst Percentage Change: 3.8% DPS Percentage Change: 4.6%


##Lux

I feel Lux is perhaps the most interesting part of this list. If I had to guess before, I would have never expected that the benefit they get (and by extension, most other Standard AP Mids) would be so little. Not only that, but it's not even constant; it's a measly 1% at Level 8 and takes a long time to ramp up higher.

Additionally, increasing the number of passive procs does nothing to increase the relative dragon damage, so I know it's not just a matter of lacking some super great burst combo. What a strange result.

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Burst is one of each spell, two passive procs.

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Level 8 Dorans, Morello, Sorcs

Type | Damage

Pre-Drake Burst: 1084 Post-Drake Burst: 1109

Percentage Change: 0.93%

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Level 14 Void Staff, Rabadons

Type | Damage

Pre-Drake Burst: 2166 Post-Drake Burst: 2226

Percentage Change: 2.7%

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Level 18 Zhonyas, Ludens

Type | Damage

Pre-Drake Burst: 2487 Post-Drake Burst: 2565

Percentage Change: 3.1%


##Jax

From the beginning, I knew I wanted a hybrid damage champion to test the Drake's power on. Unfortunately, the traditional hybrid champions pretty much all just build raw AP (Teemo, Kayle, Akali). Jax is the last remaining true hybrid. The theory is that having both AP and AD allows for double dipping into the stats for an even larger bonus.

In reality, the scalings for both are underwhelming to account for this, and so Jax is barely floating above the Standard AP Mages in terms of relative damage. I even tossed a Guinsoos to really force the hybrid nature (Jax doesn't even build Guinsoos anymore!) but it still wasn't enough.

Still, Jax does better than the AP champions, though that's likely more attributable to the AD rather than a result of double dipping as a hybrid.

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Burst is one of each spell, three autos, and two triforce apps (if applicable)

DPS rotation is Leap Strike and Empowered divided by cooldowns, Triforce divided by Empower’s cooldown, and passive damage from Grandmaster’s Might multiplied by AS but divided by 3.

DPS refers to the initial combat. High DPS is after Fervor of Battle, Relentless Assault, and Guinsoos kick in, if applicable.

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Level 8 Triforce, Mercury Treads

Type | Damage

Pre-Drake Burst: 866 Pre-Drake DPS: | 206 - 360

Post-Drake Burst: 890 Post-Drake DPS: | 214 - 370

Burst Percentage Change: 3.4% DPS Percentage Change: 3.8%

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Level 14 Gunblade, Steraks

Type | Damage

Pre-Drake Burst: 1301 Pre-Drake DPS: 336 - 508

Post-Drake Burst: 1340 Post-Drake DPS: 349 - 526

Burst Percentage Change: 3.0% DPS Percentage Change: 3.6%

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Level 18 Randuins, Guardian Angel

Type | Damage

Pre-Drake Burst: 1085 Pre-Drake DPS: | 287 - 431

Post-Drake Burst: 1114 Post-Drake DPS: 298 - 446

Burst Percentage Change: 2.6% DPS Percentage Change: 3.6%

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Level 18 Randuins, Guinsoos!

Type | Damage

Pre-Drake Burst: 1197 Pre-Drake DPS: 323 - 630

Post-Drake Burst: 1235 Post-Drake DPS: 337 - 655

High DPS Percentage Change: 4.0%


##Darius

We've finally reached the bruisers. I chose Darius since they seemed to be a bit on the AD heavier side of the bruiser builds with nicer scalings. The innate armor pen is pretty good too!

Sadly, even with all these advantages, Darius actually loses more relative damage from the Infernal as the game goes on, in direct contrast with the others.

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Burst is one of each spell, one second of five passive stacks, and a fully powered ultimate

DPS rotation is Decimate and Crippling Strike damage divided by cooldowns, five passive stacks per second, and autoattacks multiplied by attack speed.

In either case, passive pen of Apprehend is considered (and is maxed second).

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Level 8 Cleaver, Mercury Treads

Type | Damage

Pre-Drake Burst: 788 - 830 Pre-Drake DPS: 193 - 210

Pre-Drake Burst: 810 - 853 Pre-Drake DPS: 198 - 215

Percentage Change: 2.5%

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Level 14 Deadmans, Spirit Visage

Type | Damage

Pre-Drake Burst: 1017 - 1094 Pre-Drake DPS: 222 - 255

Pre-Drake Burst: 1037 - 1115 Pre-Drake DPS: 226 - 260

Percentage Change: 2%

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Level 18 Randuins, Steraks

Type | Damage

Pre-Drake Burst: 1127 – 1221 Pre-Drake DPS: 193 - 235

Pre-Drake Burst: 1143 - 1239 Pre-Drake DPS: 196 - 239

Percentage Change: 1.5%


##Gragas

Gragas sits in last place, fulfilling the observations noted (AP pretty much always gets worse benefits than AD, and bruisers do worse than everyone else). Part of the trouble that Gragas has is the physical damage from Iceborne and Deadmans doesn't scale with the Infernal, making it difficult to truly gather dank drake dabs.

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Full Power Barrel Burst. Accounts for Deadmans.

DPS rotation is 7 seconds, One 50% Barrel, Two Drunken Rage, One Body Slam, and Runic Echoes

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Level 8 Runic, Lucidity

Type | Damage

Pre-Drake Burst: 943 Pre-Drake DPS: 140

Pre-Drake Burst: 946 Pre-Drake DPS: 141

Percentage Change: Not even 1%

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Level 14 Iceborne, Spirit Visage

Type | Damage

Pre-Drake Burst: 1142 Pre-Drake DPS: 172

Pre-Drake Burst: 1153 Pre-Drake DPS: 174

Percentage Change: Barely 1%

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Level 18 Zhonyas, Ludens

Type | Damage

Pre-Drake Burst: 996 Pre-Drake DPS: 147

Pre-Drake Burst: 1006 Pre-Drake DPS: 148

Percentage Change: 1.01%


#Methodology

All calculations were done using my calculator. This calculator was created for my personal use, so I apologize for the unintuitive aspects of it.

First, a caveat: the Armor / MR of the target does not change the Infernal bonus, since it is a constant. Even in cases with Lord Dominiks or Cleaver, the relative bonus from the Infernal was approximately the same regardless of the target's armor.

That being said, for the sake of authenticity, I've adjusted the MR, Armor, and Maximum Health of the target being attacked.

  • Level 8 - 40 MR, 40 Armor, 1400 Health

  • Level 14 - 70 MR, 100 Armor, 2000 Health

  • Level 18 - 100 MR, 200 Armor, 3000 Health

The builds and ability orders were chosen based on the most popular builds on Champion.gg. The only exceptions are the ones noted, such as Darius maximizing Apprehend second, Jax building Guinsoos, Fiora having Death's Dance as a sixth item, etc.

No %Missing HP could be accounted for. The calculator is not a simulator; I would not be able to reliably tell how much life a target has after each autoattack, and frankly most combat situations are going to involve a target being damaged by other sources at the same time.

If you enjoy methodology, you may enjoy my tale of madness while trying to understand Jhin's relation with Infernal.


#Thanks for Reading!

94 Comments

xSwimmx8/30/2016, 5:41:56 PM46 votes

Thanks for this informative information. Blew my mind.

Ritesh8/30/2016, 5:40:57 PM30 votes

So much going on in this post. Very informative and well organized. 10/10

Very Hard Engage8/30/2016, 5:07:37 PM19 votes

hhhhhhhhhnnnnnnnnnnnnngggggggggg data +1

buff ap pl0x

GigglesO8/30/2016, 8:08:27 PM12 votes

I just like wind dragon the most, but no one asked the immobile tank player...

Spoofghoul8/30/2016, 9:19:38 PM9 votes

Damn you explained in 3 years worth of reading why i always encourage my team to go for oceans

free firedrakes aside, a team is often better off trading a tower for it and gain an immediate advantage. i guess its teamcomp dependant

But oceans are always sweet, especially earlygame it solves everyone's mana problems even with just 1 ocean drake which allows more spellcasting which also increases damage & pressure and allows the mages to sacrifice mana for damage items which will also increase damage

Furthermore being able to trade and recover will allow you to stay longer then your opponent grinding them down making them leave and then grab some advantages

whilst firedrake never truly falls off i find myself doing better with ocean and wind drakes provided we get them early enough simply because they allow to outpressure your opponent making ti harder for them to contest stuff down the line

Evewynn8/30/2016, 9:33:00 PM8 votes

I can't even pretend to have read all of your post, but +1 anyways

DrugsForRobots8/30/2016, 6:30:22 PM6 votes

You ever thought about doing a nuanced analysis of stealth and vision systems in MOBAs and RTSs in general?

Maximum Morde8/30/2016, 6:01:18 PM5 votes

TL:DR - The more you rely on abilities (and their base damage), the less you benefit from Fire Drake.

There, I could have saved you all that typing, its a pretty obvious conclusion even without doing any math at all.

HateDaddy8/30/2016, 11:13:51 PM4 votes

That's actually really interesting

Let me ask you this, how much benefit does Infernal Drake give for champions with steroids during the steroids actives

Think like Riven Ult, Nasus ult (assuming capped out since the ad he receives is capped at 300 I believe, don't quote me) etc

Dicerson8/30/2016, 11:32:09 PM4 votes

While i didn't much care for the details of most of it. Its good to know that Infernal's true bonus is different for each champion, and is particularly strong on my favorite one :D

One detailed bit I did care enough about to read was Jhin! Truly the spaghetti is strong with that one. One hell of a way to handle the drake bonus XD

Trap or a Trick8/30/2016, 10:46:26 PM3 votes

TL;DR I failed math

TFBaam8/30/2016, 8:14:37 PM3 votes

imagine the amount of custom games you had to go through, in and out oh no infernal restart waste of 20 minutes

Saianna8/30/2016, 8:52:18 PM3 votes

SO... In super-mega-very-short TL;DR we can assume that:

"ADCs use Infernal Drake buff to more than fullest, while rest is meh"

right?

Shadow Hazard8/30/2016, 8:55:35 PM3 votes

AKA it may not be as worth as you thought it was, which is especially shown on champs that almost never build bonus damage stats or has piss poor scalings.

Dealth8/30/2016, 11:16:27 PM3 votes

Heimerdinger One step closer to greater understanding!

rtbf2256182418/30/2016, 11:24:22 PM3 votes

By the mere amount of information and work put into this post, it's rather intimidating to even argue..

Nice math skills.

Cheese Pope8/31/2016, 3:34:51 AM3 votes

SO... MANY... NUMBERS!!! https://i.imgur.com/1JdLiGS.png?1

Great post btw

DeFy Logics8/31/2016, 3:09:35 PM2 votes

damn all the numbers, more burning less talk Brand

Arakadia8/31/2016, 1:46:29 AM2 votes

I scrolled so long looking for the bottom my mouse nearly broke lol.

TD:LR?

Akali is SO HOT8/31/2016, 3:12:31 AM2 votes

Yeah cloud drake is easily the best now

Dessem8/31/2016, 2:32:18 PM2 votes

ready to show that 8% isn't necessarily 8%.

Only in maths can we say that 8% isn't necessarily 8%.

Very interesting read. Jealous of people who can maths so well.

Jungle Lux God8/30/2016, 11:01:45 PM2 votes

Keep in mind that some AP champions have a fair bit of non-damage sources of utility or defenses that scale with ability power to not get nearly as much damage from Infernal Drake. It makes sense for someone like Ryze or Swain to get less damage out of Infernal Drake because they also get some defensive stats from the extra AP they get due to AP scaling shields/heals. Likewise, it makes sense for someone like Lux or Orianna to get less damage out of Infernal Drake because they get more powerful shields for their allies.

I'm also surprised you didn't use someone like Karthus or Cassiopeia in this list. I'd think that high DPS AP champions would get a lot more value out of the buff than some of the burstier champions.

Yi Bencheikh8/30/2016, 9:40:00 PM2 votes

How much time did it took you to write this ?

Spaceman5pff8/31/2016, 12:19:39 PM2 votes

Really wonderful evaluation that I don't have time to fully read at the moment. Bookmarked so I can get back to it :)

Junkο8/30/2016, 8:44:34 PM1 votes

It's tempting to say that this increases a team's damage output by 8%, but this is evidently false. What about champions like Veigar, who rack up monstrous amounts of AP? How about Darius, who builds a little AD afterward but not a ton? Will an ADC benefit more or an AD Assassin?

Technically their bonus damage output is increased by 8% regardless outside of interactions with Rabadons (they stack infinitely until the number is too small).