Talk:Sacrificial Pressure/@comment-1765404-20180616022919/@comment-64.57.106.210-20180801120923

Reply to the 13% replier, your formulas are correct but I think a fairer comparison is Sacrificial Steel/Sacrificial Pressure vs Sacrificial Steel/Primed Pressure Point. Seeing as Sacrificial Steel is better than True Steel with or without the set bonus, anyone evaluating the difference between the combinations of mods to this level will likely be willing to invest the Forma required to equip Sacrificial Steel on their melee weapon.

That being the case, we can develop a function based on the difference in damage between the SS/SP build and the SS/PPP build. My equations started as shown below (as multipliers to the weapons damage):

SS/PPP build: 2.65*[1.88*CC*CD+(1-1.88*CC)]   where CC<1 (expressed as a decimal) and CD>1 (CD is the modded crit damage)

SS/SP build: 2.375*[2.1*CC*CD+(1-2.1*CC)] (same conditions and assumptions above)

Let f(x) be the damage of the SS/PPP build minus SS/SP build (where f(x)>0 means that the SS/PPP build does more damage) and after simplifying:

f(x)=0.275+0.0055*CC*(1-CD)

You can use that equation for any combination of crit chance and crit damage, see if the value is above or below 0 to determine which build is superior. But we can go one step further and identify what combination of CC and CD makes the builds tie. To do so, let f(x)=0 and simplify to get:

CD=1+50/CC

Keep in mind that per the assumption above, CC<1 as CC is expressed as a decimal, not a percent. For instance, the Atterax has a base crit chance of 0.25 which means that break-even point is if the CD=201.0. Having a CD greater than this means that the SS/SP build is better (makes the second term in f(x) more negative) and having a CS less than this means that the SS/PPP build is better. Clearly, a CD of 201.0 is absurdly high and not achievable. Btw, the opposite can be done inputting a CD to generate the CC needed to break even (keeping in mind that these equations are only valid for CC<1) and it is evident that the SS/PPP build is always better.

Similar equations can be generated for CC>1 (such as with Blood Rush, Maiming Strike, or Rivens) and certainly a higher crit chance will close the gap as the SS/SP build catches up. Without doing the mathematic exercise, my intuition tells me that it will take quite a high combo counter with Maiming Strike for the SS/SP build to catch up.

In conclusion, with a CC<100%, a Sacrificial Steel/Primed Pressure Point build is better than a Sacrificial Steel/Sacrificial Pressure build. It is likely that it is better with a crit chance above 100%, as well.