Guide Defense And How It Affects Your Effective Hp

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Effective hp is another method of evaluating the survivability of a build. To explain this with an example, we can see (using the graph above) that if I were to have 12,000 hp and 100 defense sp, my effective hp would be closer to a value of 34286--over double the original value.

Due to how defense reduces damage, we can treat it as a rational function when increasing effective HP.

effective hp = hp/(1-% of damage reduced)
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As the percent approaches a value of 1, the rate at which effective hp rises speeds up. As a result, even though the amount of % less damage taken you get per sp goes down as sp allocated goes up, the overall effect per sp actually increases as the amount allocated goes up.


Now that the explanation is finished, here's the multiplier of hp for defense in increments of 10 sp.

0 defense = x1.00
10 defense = x1.10
20 defense = x1.22
30 defense = x1.35
40 defense = x1.50
50 defense = x1.66
60 defense = x1.85
70 defense = x2.05
80 defense = x2.29
90 defense = x2.55
100 defense = x2.86
110 defense = x3.19
120 defense = x3.60
130 defense = x4.05
140 defense = x4.59
150 defense = x5.21

And here's another graph made by @LegionGlory which gives a visual representation of it (in percents).



Note: True damage bypasses defense (eye laser), so it's important to keep that in mind.

 

epic epic epic

 

Graph for download. Thanks @highbread

 

Finally someone explains why def doesn't have diminishing returns unlike what some people think

 

Me: has 102,116 hp

 

And this is exactly the reason why I prefer tank archer now.

 

someone dy/dx that equation and see the growth curve... so we could see if it's linear or what growth

 

But you can literally say the exact same thing about agility, with the returns actually increasing the more points you invest.

 

it's
a rational equation

 

WF spell warrior best build you can’t change my mind

 

and people still say that moontower is overrated

 

Like highbread said, it’s rational, so the derivative will be rational

My class isn’t doing anything rn so might as well

Take derivative of both sides with respect to % of damage reduced
d(ehp)/d%=(0*(1-%))-(hp*(-1))/(1-%)^2
dh/d%=hp/(1-%)^2

If we wanna find the max rate of change(where your hp would be increasing the fastest as you put more percent in), you could do more calculus but that’s boring, just plug it into a graph site, and you can see that effective hp zooms off to infinity as you approach 100% damage reduced(which is x=1 in this case because percent is in decimal form), which makes sense bc if you had 100% damage reduction you would have infinite health.

So this is all redundant because I am restating what the thread is saying but math is fun

(Assuming %damage reduced as a function of def pts doesn’t just become zero as def becomes really large)

Is there a dedicated function used for %damage reduced as a function of def pts?

 

Sure, but rng sucks sometimes. In addition, defense allows time for the player to heal as the player knows they are taking damage instead of say with agility where the player will still be at full hp even while taking damage and then suddenly gets 2-shotted or something along those lines.

One thing I found out was that agility is more effective at low hp amounts and defense is more effective at high hp amounts. For example, The Perfect Run vs. tank statue. Perhaps anyone would like to tackle at what hp amount would be the critical cutoff point on whether to use defense or agility?

 

No such thing. The defense and agility both function completely independently from HP.
It’s just the archetypes that make it appear that way. The thing that is abundantly clear is that specialization is key, which is an important juxtaposition of strength and dexterity, which actually work better when mixed together about 50%/50%

 

The specialization margin for mixing versus specialized Def/Agi is extremely tiny, essentially negligible. I ran the calculations on this as one of my earliest forum threads.