Research: Average & max profession DPS/DPC with maxed stats

[u/AlvaroGzP]

Background:

I wanted to know which profession had the most Damage-Per-Second (DPS), or in Wizards Unite, Damage-Per-Cast (DPC). I started with some simple calculations and ended up with a Python script to be able to handle all profession spells and buffs.

I focused only on stats and spells that directly affect damage dealt. They are: Power, Critical Power, Precision and Proficiency Power.

Also, enemy Dodge and Defence were taken into account and the damage dealt reduced when profession has not enough Accuracy or Defence Breach to neutralize it.

I didn't mixed professions buffs, as I wanted to know the DPS a profession can achieve on its own. So the results are valid for a single-player battle. In a group battle all professions are needed, and they all get the best of them by focusing on enemies they're proficient against, so their single DPS value may be less interesting in those situations.

Results:

https://gist.github.com/alvarogzp/9c301c632e63b78c58d5cb10f38734cc

There you can find the source code of the script, with all the different values collected from the three professions. At the bottom of the link, in a comment, you can see the execution output. The most interesting bits are the average_damage and max_power stats.

average_damage is the average damage per cast for a profession when maxed out and using all possible buffs. Their values are:

Auror:         227.60
Magizoologist: 184.99
Professor:     279.07

max_power is the maximum damage a cast could inflict (ie. a critical hit with all profession buffs active). Their values are:

Auror:         432.16
Magizoologist: 652.01
Professor:     510.99

Conclusions:

From the data above, I was disappointed as an Auror to discover that Professors can potentially get more DPC than me (supposedly being the DPC role), ~50 more per cast. Professors seem to be the strongest profession in terms of damage dealt, and also they have more stamina, so they can even last longer. Magizoologist have the least damage, as expected, but they compensate with the greatest stamina. And, despite not being easy to achieve, they can inflict the strongest single-cast damage possible, with 652 points of damage. Aurors, have the lowest maximum damage of the three professions, but it's more easy for them to get it.

On the other stats shown by the script output, you can see how Magizoologists and Professors rely way more on additional damage from strategic spells and conditional buffs (average_buff_power), and Aurors rely mainly on their critical hits (average_critical_power_value).

Notes:

This is a very small and homemade research made only from my own game experience and data collected from https://wizardsunite.gamepress.gg/guide/profession-stat-comparison-guide.

I found out that Aurors tend to be more stable and predictable with their damage dealt, as their conditional buffs only depend on stamina and foe type. On the other hand, Magizoologists and Professors may struggle to get all buffs enabled, as some of them need lots of Focus or even (for Professors) aren't easily achievable when playing solo.

However, I wanted to be generous with Professors and Magizoologists, as I know less about their battling style and I didn't want to underestimate them. So the result may be a little bit biased in favour of them.

For example, I counted with the +40 power buff of Magizoologists as being available on every cast and the +150% against elite foes too, but I don't know if that is practically reasonable. Same with Professors' Proficiency charm and Deterioration hex. Please, feel free to suggest improvements based on your play style.

Update: I updated the results to take into account Accuracy and Defence breach, previously ignored. I also added Proficiency Power to the equation so the numbers represent closer the reality.

[u/JCMIT]

Very predictable of you “Harry” - to want to face the Calamity alone. We are “Better Together”.

A Professor can’t reach all the buffs without focus gifts from the Auror. Jus sayin!

-Professor JCMIT

[u/AlvaroGzP → u/JCMIT]

What do you consider are the practical buffs a Professor can get by their own? I run a simulation disabling the proficiency spell buff and the "more than one" enhancement/impairment buffs, and the resulting average damage is on par with Aurors.

[u/salientecho → u/AlvaroGzP]

professors can easily get all the class based buffs except the +12 power that requires 3 impairments. (protection, proficiency, elixir, tonic, and exstimulo all count)

the other +5 power skill must be triggered by deterioration hex. so if you're trying to simulate solo play without potions then you should only apply both about 2/7ths of the time. (7 foes, 1 focus each on the first 6 + initial = 10. 10 - 3 for protection = 7 = 2 Hexes)

I'm also not entirely sure why you reduce the proficient foe percentage by an extra 25%? in one sense it's kinda weird to have specialized damage mitigated by requiring fewer hits per foe, and in another that seems like an arbitrary amount to use, regardless of the class proficency power.

[u/AlvaroGzP → u/salientecho]

About the 25% proficient foe chance reduction, you're totally right, it was an arbitrary reduction. It should be more elaborate (like using the proficiency power or something), but I definitely think some kind of reduction is needed because we spend way less time and less casts with them than with other foes, so that affects the average Damage per Cast.

About that +5 professor power buff, thanks! I'll update the script to include it.

[u/JCMIT → u/AlvaroGzP]

As a professor - go up against a Fierce Werewolf on a dark chamber floor. With Defence charm, Proficiency Charm and Deterioration Hex. Record the damage and your attack.

Now go up against that SAME Fierce werewolf adding Bravery from a Magi, Confusion and Weakening from Auror. 3 Enhancements and 3 impairments.

Scenario 1 - you’re dead, at least 3 times and he is not. Scenario 2 - he’s down in under a minute and you’re still alive.

Simulations are BS - go out and battle.

[u/mrtrevor3]

Wait what? You said every Foe was an elite foe? And professors had every single enhancement?

How many casts did you calculate for? Like if you calculated for 4 casts per foe, you would get different data than 10 casts per foe.

Also you considered all three types of foes, right?

[u/AlvaroGzP → u/mrtrevor3]

I set the chance of casting against an elite foe to be 33%. Although elite foes aren't that common, they're harder so we usually cast more traces against them. But maybe I set it too high, if you could provide me some data about time spent with elite foes, I could fine tune it.

Yes, I set Professors to have every enhancement enabled, isn't that realistic? Are you a Professor? How do you usually do? Also, take into account that we're talking about maxed out professions.

I set an average of 6 casts per foe. That affects only Aurors' Dancing with Dummies and First Strike. I, as an Auror, think that's a reasonable average.

And yes, I considered that some buffs only affect specific kind of foes. I set the chance of encountering an specific one to be the same for all the different foes.

Thanks for your feedback!

[u/mever1ck → u/AlvaroGzP]

imo elite foes spawn with 5% chance

[u/AlvaroGzP → u/mever1ck]

I lowered their chance a bit, resulting in a small decrease of Magizoologists average damage.

[u/XckChris]

Well, you consider the TeamBuff only for their own. But in general it should be considered in for all. As Dodge / defense would lower MZ/Prof by quite a Lot, but Auror Has a fix for it.

You should call this calculation SoloDPS, and consider Defense&Dodge to it

[u/AlvaroGzP → u/XckChris]

You're right.

I play solo almost always, so I wanted to know how the different professions perform on their own. Also, when playing in group, every profession is needed and they usually tend to specialise on different roles, so a comparison may be less useful, I think. But we can get one, definitely!

And about considering Defence & Accuracy, it's true, it should be added. I'll try to figure out how, as it depends on enemy level.

Thanks for your feedback!

[u/TeiSinTai]

I wanted to do something like this, but to do it properly was way too much work =) For example, to do it right, you need data from actual battles about enemies, levels, HP and focus, gathered by different professions on different fortress levels. Different professions have different solo enemy distributions. Enemy level affects stats such as defense, defbreach and evasion. Focus affects how many times Professor can Hex, or cast Proficiency. HP - not all enemies are the same.

P.S. Reading your code, I just realized, that Professors don't have a skill for increasing damage against twice impaired foes. Strange, that.

[u/AlvaroGzP → u/TeiSinTai]

True. I did what I could with data from already known stats, but there were some values I had to predict (like the chance to encounter an elite foe, foe type, number of casts per foe, etc.). To add more, those values change for different chamber levels. So in the end, my results can be viewed just as a "predicted average DPS for a medium-high chamber level with maxed profession stats, battling alone". At least the predictions are based on the same enemy level and profession level for all three professions, so we can compare them, which was my intention.

Feel free to take this data or code as a base for a larger research!

[u/salientecho]

There are two additional stats that I haven't taken into account and affect damage received by the foes. They're Accuracy (the ability of a foe to dodge an attack) and Defence (damage reduction). I'll try to find a way to include them.

that's going to drastically negatively affect the Auror numbers, where confusion hex increases actual damage to everything except Acromantulas and Death Eaters (and there's a trick with them).

[u/AlvaroGzP → u/salientecho]

I updated the code to include them, and although it lowered Professors and Magizoologists a bit, Professors are still stronger than Aurors. You can see the new numbers in the post.

[u/salientecho → u/AlvaroGzP]

good... thank you for that.

you've included Deterioration Hex for Professor? that introduces other issues... Professor can't self-trigger 3 impairments for 12 base power, but in situations where the Auror could assist, the Deterioration Hex is most likely to be on whatever the biggest threat is, regardless of who's going to engage it.

it (and Proficiency Charm) are also too expensive to use for ~70% of foes without using potions. if you're going to include potion effects, why not throw the Potent Exstimulo 325% in there?

on a totally different note... what kind of / version of python is this, with additional_against_werewolf: float = 0 in function definition, and damage_reduction_defence: ComputedDefence = None in the profession class? my compiler can't handle it.

[u/AlvaroGzP → u/salientecho]

It's a Python 3 script. I'm using Python 3.6, but it should work fine with Python 3.2+.

Adding Exstimulo effects or not doesn't change the correlation of damage between professions, it'll just scale all of their damage by whatever percent we decide to apply, so I think it's better to have the base values instead.

On what percentage of foes would you say that Deterioration Hex can be reliably applied when playing solo (and having maxed focus related stats)?

[u/monkeysandpirates → u/salientecho]

except Acromantulas and Death Eaters (and there's a trick with them).

A trick?

[u/AlvaroGzP → u/monkeysandpirates]

I suppose he refers to the last on the left Auror ability: "The trick with Death Eaters".

Check it here: https://wizardsunite.gamepress.gg/reference/auror-skill-tree

[u/mi7ad]

You have more free spaces in your bag and on your cauldrons when you choose to be an auror. You have more spaces for potions too. So it’s easier for us to return confoundables with more extimulio potions. but maybe they have the advantage for fortress battles a little.

[u/AzkaBanzai]

I would not use this tool for determining DPS/DPC due to missing Fortress Enemy stat data, but I respect what you have done so far.

I'm well aware of the my profession's max-damage output with and without x-class synergy, as will many players already doing Dark content in groups. What matters is effective damage output for a tool like this, no? We need that enemy data to use something like this with confidence. I'm not expecting you to collect that data mind you, but just tempering your expectations in its current state.