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Evan DPM: Revisited - Chilly - 2010-03-23
With Evan release expected in around one week, I have decided to take my affinity for calculation and Evans and start all of my work back at square one using a more utilitarian formula in order to answer the variety of DPS/DPM questions many people (including myself) have about Evans. Let's begin...
All the maths and calculations for those interested, if not results are located below.
Spoiler
Working with the Magic Damage Formula for an Average Damage per Cast
Adjusting Average Damage per Cast for Skill Mastery of Evan and AM
AM DPCast (DPC) and DPM
Evan section START-O!
Compilation of All Rough DPM Equations Suitable for Personal Use
Reasonable Approximations for the X and Y Variables
Please Read the ALL CAPS Disclaimer
Simplifying Variable I and Adjusting All Equations Appropriately to Show Simplified DPM
Ordering DPM Equations Based on a General Overlooking
Working with the Magic Damage Formula for an Average Damage per Cast
Spoiler
While Russt's formulas are very useful for making general comparisons, I found that I found myself needing damage over time figures so I could personally predict my own bossing times and whatnot, so I started with the damage formula that determined the maximum and minimums one would expect if they cast a particular skill:
Maximum: [(((M^2 / 1000) + M) / 30) + (I / 200)] * S * U
Minimum: [(((M^2 / 1000) + (M * W * 0.9)) / 30) + (I / 200)] * S * U
Where M = M.ATT, I = INT, W = Skill Mastery, S = Spell Base Power and U = Multipliers
Performing a simple average of (Max. + Min.) / 2 resulted in the average damage per cast of any particular skill:
Average Damage per Cast: ((M^2 + 500M(1 + 0.9W) + 150I) / 30000) * S * U
Maximum: [(((M^2 / 1000) + M) / 30) + (I / 200)] * S * U
Minimum: [(((M^2 / 1000) + (M * W * 0.9)) / 30) + (I / 200)] * S * U
Where M = M.ATT, I = INT, W = Skill Mastery, S = Spell Base Power and U = Multipliers
Performing a simple average of (Max. + Min.) / 2 resulted in the average damage per cast of any particular skill:
Average Damage per Cast: ((M^2 + 500M(1 + 0.9W) + 150I) / 30000) * S * U
Adjusting Average Damage per Cast for Skill Mastery of Evan and AM
Spoiler
Any calculations from this point onward will be conducted for Arch Mages (AM's) and Evans on the assumption that their respective skills are maxed resulting in a 60% skill mastery and an Evan will have the 9th Mastery skill, Magic Mastery maxed so that its total skill mastery will be 90%, therefore:
AM Average Damage per Cast: ((M^2 + 770M + 150I) / 30000) * S * U
Evan Average Damage per Cast: ((M^2 + 905M + 150I) / 30000) * S * U
AM Average Damage per Cast: ((M^2 + 770M + 150I) / 30000) * S * U
Evan Average Damage per Cast: ((M^2 + 905M + 150I) / 30000) * S * U
AM DPCast (DPC) and DPM
Spoiler
Since AM calculations are simple with few outside variables to consider, these will be conducted first.
Paralyze: ((M^2 + 770M + 150I) / 30000) * 240 * 1.25 * 1.50 = 0.015(M^2) + 11.55M + 2.25I per 0.72s
Elquines: ((M^2 + 770M + 150I) / 30000) * 270 * 1.50 = 0.0135(M^2) + 10.395M + 2.025I per 3s
Chain Lightning: ((M^2 + 770M + 150I) / 30000) * 210 * 1.25 * 1.50 = 0.013125(M^2) + 10.106M + 1.969I per 0.69s
Ifrit: ((M^2 + 770M + 150I) / 30000) * 330 * 1.50 = 0.0165(M^2) + 12.705M + 2.475I per 3s
As explanation, Paralyze and Chain Lightning are both given multipliers of 1.25 to reflect the appropriate elemental weapon use and all skills are given a 1.5 multiplier to refect Magic Amplification. All skills' base power and buffs are representative of post "re-balancing" values.
It is important to remember (and as a reminder for myself) that if you are using the above forumlas M^2 must occur before multiplying by its coefficient. Also, the number of decimal places reflects the data that will be multiplied by it; M^2 is likely in 10^6 and M and I are no greater than 10^3.
Scaling up the value for DPM we get:
Paralyze: (60s / 0.72s) * (0.015(M^2) + 11.55M + 2.25I) = 1.25(M^2) + 962.5M + 187.5I
Elquines: (60s / 3s) * (0.0135(M^2) + 10.395M + 2.025I) = 0.27(M^2) + 207.9M + 40.5I
Chain Lightning: (60s / 0.69s) * (0.013125(M^2) + 10.106M + 1.969I) = 1.141304(M^2) + 878.783M + 171.217I
Ifrit: (60s / 3s) * (0.0165(M^2) + 12.705M + 2.475I) = 0.33(M^2) + 254.1M + 49.5I
Adding the respective classes' skills and overall DPM is:
F/P AM: 1.52(M^2) + 1170.4M + 228I
I/L AM: 1.471304(M^2) + 1132.883M + 220.717I
Paralyze: ((M^2 + 770M + 150I) / 30000) * 240 * 1.25 * 1.50 = 0.015(M^2) + 11.55M + 2.25I per 0.72s
Elquines: ((M^2 + 770M + 150I) / 30000) * 270 * 1.50 = 0.0135(M^2) + 10.395M + 2.025I per 3s
Chain Lightning: ((M^2 + 770M + 150I) / 30000) * 210 * 1.25 * 1.50 = 0.013125(M^2) + 10.106M + 1.969I per 0.69s
Ifrit: ((M^2 + 770M + 150I) / 30000) * 330 * 1.50 = 0.0165(M^2) + 12.705M + 2.475I per 3s
As explanation, Paralyze and Chain Lightning are both given multipliers of 1.25 to reflect the appropriate elemental weapon use and all skills are given a 1.5 multiplier to refect Magic Amplification. All skills' base power and buffs are representative of post "re-balancing" values.
It is important to remember (and as a reminder for myself) that if you are using the above forumlas M^2 must occur before multiplying by its coefficient. Also, the number of decimal places reflects the data that will be multiplied by it; M^2 is likely in 10^6 and M and I are no greater than 10^3.
Scaling up the value for DPM we get:
Paralyze: (60s / 0.72s) * (0.015(M^2) + 11.55M + 2.25I) = 1.25(M^2) + 962.5M + 187.5I
Elquines: (60s / 3s) * (0.0135(M^2) + 10.395M + 2.025I) = 0.27(M^2) + 207.9M + 40.5I
Chain Lightning: (60s / 0.69s) * (0.013125(M^2) + 10.106M + 1.969I) = 1.141304(M^2) + 878.783M + 171.217I
Ifrit: (60s / 3s) * (0.0165(M^2) + 12.705M + 2.475I) = 0.33(M^2) + 254.1M + 49.5I
Adding the respective classes' skills and overall DPM is:
F/P AM: 1.52(M^2) + 1170.4M + 228I
I/L AM: 1.471304(M^2) + 1132.883M + 220.717I
Evan section START-O!
Spoiler
Now is where you are going to get lost and I will likely confuse myself, Evans! Originally, simple spam Illusion and Blaze versus spam AM skills was proposed as a basis for comparison, but soon others brought to my attention the discrepancy that comboing Ghost Lettering (or for all you newbies out there Phantom Imprint) could cause and what effect that may have with or without E.Wands, with -25%'s and less M.ATT and all other variables so here goes...
Simple Single Skill Spam
Combo!
Simple Single Skill Spam
Spoiler
Illusion: ((M^2 + 905M + 150I) / 30000) * 520 * 1.15 * 1.35 * 1.1= 0.029601(M^2) + 26.789M + 4.440I per 1.74s
Blaze: ((M^2 + 905M + 150I) / 30000) * 330 * 1.25 * 1.15 * 1.35 * 1.1= 0.023482(M^2) + 21.251M + 3.522I per 1.05s
Note the "905M" used to indicate the effect of the 30% increase in skill mastery applicable for Evans. As for the multipliers, Magic Amplification accounts for the 1.35, Dragon Fury (can YOU keep it up?) gives 1.1 and 1.15 is the effect that Critical Magic would have on the damage normalized over time. Blaze also receives its 1.25 from equipping the proper elemental wand. Evan skill speeds are estimated since I don't have actual data for a level 3 Boostered skill, I used the I/L's TS (at base speed 1.32) for Blaze and the F/P's Slow (8) Explosion (at base speed 1.92) for Illusion for basic trending on how the Evan's skills at similar base speed might be Boostered. Russt mentioned that (13/16) seems to work, but I have found many exceptions to that and decided to use values based on skills.
Moving these into the realm of DPM:
Illusion: (60s / 1.74s) * (0.029601(M^2) + 26.789M + 4.440I) = 1.020724(M^2) + 923.759M + 153.103I
Blaze: (60s / 1.05s) * (0.018785(M^2) + 17.001M + 2.818I) = 1.341804(M^2) + 1214.332M + 201.271I
Blaze: ((M^2 + 905M + 150I) / 30000) * 330 * 1.25 * 1.15 * 1.35 * 1.1= 0.023482(M^2) + 21.251M + 3.522I per 1.05s
Note the "905M" used to indicate the effect of the 30% increase in skill mastery applicable for Evans. As for the multipliers, Magic Amplification accounts for the 1.35, Dragon Fury (can YOU keep it up?) gives 1.1 and 1.15 is the effect that Critical Magic would have on the damage normalized over time. Blaze also receives its 1.25 from equipping the proper elemental wand. Evan skill speeds are estimated since I don't have actual data for a level 3 Boostered skill, I used the I/L's TS (at base speed 1.32) for Blaze and the F/P's Slow (8) Explosion (at base speed 1.92) for Illusion for basic trending on how the Evan's skills at similar base speed might be Boostered. Russt mentioned that (13/16) seems to work, but I have found many exceptions to that and decided to use values based on skills.
Moving these into the realm of DPM:
Illusion: (60s / 1.74s) * (0.029601(M^2) + 26.789M + 4.440I) = 1.020724(M^2) + 923.759M + 153.103I
Blaze: (60s / 1.05s) * (0.018785(M^2) + 17.001M + 2.818I) = 1.341804(M^2) + 1214.332M + 201.271I
Combo!
Spoiler
Introduction to Ghost Lettering/Phantom Imprint
How Best to Combo
Application of Ghost Lettering Bonuses and Accounting for Weapon M.ATT Discrepancies
Actual Combo Equations
Spoiler
At his point, upon comparison, it can safely be said that any AM with its summons are stronger than an Evan spamming either of its attacks. I will save all other findings from the data to the end where I will hope to wrap up all of the information presented in the many equations floating in this novel. Next, is comboing with Ghost Lettering more effective for Evans? Here, with the introduction of Ghost Lettering (GL) a whole slew of new questions have to be addressed, first and foremost, the simplest, what damage does GL do? Here, another question is brought up, if an elemental weapon is used what happens? If Dark is not assumed to be boosted by an elemental weapon, then like Holy it must be reduced by 25% so two different damage and therefore DPM equations must be derived:
GL: ((M^2 + 905M + 150I) / 30000) * 380 * 1.15 * 1.35 * 1.1 = 0.021632(M^2) + 19.577M + 3.245I per 1.31s
GL (-25%): ((M^2 + 905M + 150I) / 30000) * 380 * 1.15 * 1.35 * 1.1* 0.75 = 0.016224(M^2) + 14.682M + 2.434I per 1.31s
All the multipliers are the same as for Illusion except the 0.75 which represents the effect of using an elemental wand. The speed of GL was a trickier derivation since no skill really came close to its abnormal speed, so using the (13/16) and Explosion predictors gives an approximate level 3 Booster speed.
GL DPM? No! Since GL will be used in combo, its DPM showing spam damage is unnecessary, however I thought of this after I had already done the work so enjoy.
GL: (60s / 1.31s) * ((0.021632(M^2) + 19.577M + 3.245I) = 0.990779(M^2) + 896.656M + 148.626I
GL (-25%): (60s / 1.31s) * 0.016224(M^2) + 14.682M + 2.434I = .743084(M^2) + 672.458M + 111.481I
Before comboing, Blaze may (not) have a chance at being stronger while being comboed without an elemental weapon, so:
Blaze (@100%): ((M^2 + 905M + 150I) / 30000) * 330 * 1.15 * 1.35 * 1.1= 0.018785(M^2) + 17.001M + 2.818I per 1.05s
GL: ((M^2 + 905M + 150I) / 30000) * 380 * 1.15 * 1.35 * 1.1 = 0.021632(M^2) + 19.577M + 3.245I per 1.31s
GL (-25%): ((M^2 + 905M + 150I) / 30000) * 380 * 1.15 * 1.35 * 1.1* 0.75 = 0.016224(M^2) + 14.682M + 2.434I per 1.31s
All the multipliers are the same as for Illusion except the 0.75 which represents the effect of using an elemental wand. The speed of GL was a trickier derivation since no skill really came close to its abnormal speed, so using the (13/16) and Explosion predictors gives an approximate level 3 Booster speed.
GL DPM? No! Since GL will be used in combo, its DPM showing spam damage is unnecessary, however I thought of this after I had already done the work so enjoy.
GL: (60s / 1.31s) * ((0.021632(M^2) + 19.577M + 3.245I) = 0.990779(M^2) + 896.656M + 148.626I
GL (-25%): (60s / 1.31s) * 0.016224(M^2) + 14.682M + 2.434I = .743084(M^2) + 672.458M + 111.481I
Before comboing, Blaze may (not) have a chance at being stronger while being comboed without an elemental weapon, so:
Blaze (@100%): ((M^2 + 905M + 150I) / 30000) * 330 * 1.15 * 1.35 * 1.1= 0.018785(M^2) + 17.001M + 2.818I per 1.05s
How Best to Combo
Spoiler
Now to determine comboing, the first thing to consider is that GL's effect has a 5 second duration so every attack must be contained in this period of time. Second, GL itself, takes time to cast and it will be assumed that GL's effect goes into effect the moment the key is pressed and its animation continues after that and if that is not the case and GL's effect occurs after, everything can just be shifted one skill to the right. Given the times and the desire to maintain attack only during GL's effect, the best combos for Illusion and Blaze would be:
GL/3 Illusion: 1.31s + 3(1.74s) = 6.53s
GL/4 Blaze: 1.31s + 4(1.05s) = 5.51s
But wait, both those times are over the 5 seconds allowed for GL! These calculations are for theoretical best and you can technically cast Illusion and Blaze, 3 and 4 times respectively before time runs out on GL's effect, granted that this may be a rare occurrence given the time left after the respective 2nd and 3rd casts, I will include calculations for those too:
GL/2 Illusion: 1.31s + 2(1.74s) = 4.79s
GL/3 Blaze: 1.31s + 3(1.05s) = 4.46s
If I haven't lost you yet, get ready, because this next section is a whole new can of confusion heading right towards you.
GL/3 Illusion: 1.31s + 3(1.74s) = 6.53s
GL/4 Blaze: 1.31s + 4(1.05s) = 5.51s
But wait, both those times are over the 5 seconds allowed for GL! These calculations are for theoretical best and you can technically cast Illusion and Blaze, 3 and 4 times respectively before time runs out on GL's effect, granted that this may be a rare occurrence given the time left after the respective 2nd and 3rd casts, I will include calculations for those too:
GL/2 Illusion: 1.31s + 2(1.74s) = 4.79s
GL/3 Blaze: 1.31s + 3(1.05s) = 4.46s
If I haven't lost you yet, get ready, because this next section is a whole new can of confusion heading right towards you.
Application of Ghost Lettering Bonuses and Accounting for Weapon M.ATT Discrepancies
Spoiler
For each of the four possible combos that can occur (see above), another two cases can be presented for each comboing with and without an elemental weapon, not too hard, just another two cases. However, under a realization from my own LUKless inventory, the end-game E.Wand 5 will almost always be stronger than any Shine Wand/Wisdom Staff scrollable, however the LUKless level 64 Maple Weapons will almost always be scrolled better. How can this be resolved? More variables! For calculations done representing the equipping of an E.Wand 5, the variable X will be used to show the additional M.ATT that said weapon likely will provide, similarly for calculations done without elemental weapon (dis)advantage, Y will be additional INT in the equation. Of course, simply looking at the data, Y would be a nearly insignificant addition to DPM however, I am one to cover all my bases. If these new letters mean nothing to you, that's fine, they don't mean much here as letters, but I will demonstrate and plug in information for all the variables (X, Y (maybe just 0), I and M) to show actual percentage differences in DPM at the end.
Also, what is the point in comboing if it doesn't result in any benefit? Here it is, I have observed through two or three videos that GL's effect only affects its caster and causes a 10%~15% increase in damage, if you want to contest this, link me some videos. So adjusted skill damages using a 10% increase or 1.1 multiplier; new variables X and Y will also be put into motion here:
Illusion (w/o E.Wand 5): ((M^2 + 905M + 150(I + Y)) / 30000) * 520 * 1.15 * 1.35 * 1.1 * 1.1 = 0.032561(M^2) + 29.468M + 4.884I + 4.88Y per 1.74s
llusion (w/ E.Wand 5): (((M + X)^2 + 905(M + X) + 150Y) / 30000) * 520 * 1.15 * 1.35 * 1.1 * 1.1 = 0.032561(M^2) + 29.468M + 4.884I + 0.033(X^2) + .0651MX + 29.47X per 1.74s
Blaze: (((M + X)^2 + 905(M + X) + 150I) / 30000) * 330 * 1.25 * 1.15 * 1.35 * 1.1 * 1.1 = 0.025830(M^2) + 23.376M + 3.874I + 0.026(X^2) + .0517MX + 23.38X per 1.05s
Blaze (@100%): ((M^2 + 905M + 150(I + Y)) / 30000) * 330 * 1.15 * 1.35 * 1.1 * 1.1 = 0.020663(M^2) + 18.701M + 3.100I + 3.10Y per 1.05s
GL: ((M^2 + 905M + 150(I + Y)) / 30000) * 380 * 1.15 * 1.35 * 1.1 * 1.1 = 0.023795(M^2) + 21.535M + 3.570I + 3.57Y per 1.31s
GL (-25%): (((M + X)^2 + 905(M + X) + 150I) / 30000) * 380 * 1.15 * 1.35 * 1.1 * 0.75 * 1.1 = 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X per 1.31s
Also, what is the point in comboing if it doesn't result in any benefit? Here it is, I have observed through two or three videos that GL's effect only affects its caster and causes a 10%~15% increase in damage, if you want to contest this, link me some videos. So adjusted skill damages using a 10% increase or 1.1 multiplier; new variables X and Y will also be put into motion here:
Illusion (w/o E.Wand 5): ((M^2 + 905M + 150(I + Y)) / 30000) * 520 * 1.15 * 1.35 * 1.1 * 1.1 = 0.032561(M^2) + 29.468M + 4.884I + 4.88Y per 1.74s
llusion (w/ E.Wand 5): (((M + X)^2 + 905(M + X) + 150Y) / 30000) * 520 * 1.15 * 1.35 * 1.1 * 1.1 = 0.032561(M^2) + 29.468M + 4.884I + 0.033(X^2) + .0651MX + 29.47X per 1.74s
Blaze: (((M + X)^2 + 905(M + X) + 150I) / 30000) * 330 * 1.25 * 1.15 * 1.35 * 1.1 * 1.1 = 0.025830(M^2) + 23.376M + 3.874I + 0.026(X^2) + .0517MX + 23.38X per 1.05s
Blaze (@100%): ((M^2 + 905M + 150(I + Y)) / 30000) * 330 * 1.15 * 1.35 * 1.1 * 1.1 = 0.020663(M^2) + 18.701M + 3.100I + 3.10Y per 1.05s
GL: ((M^2 + 905M + 150(I + Y)) / 30000) * 380 * 1.15 * 1.35 * 1.1 * 1.1 = 0.023795(M^2) + 21.535M + 3.570I + 3.57Y per 1.31s
GL (-25%): (((M + X)^2 + 905(M + X) + 150I) / 30000) * 380 * 1.15 * 1.35 * 1.1 * 0.75 * 1.1 = 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X per 1.31s
Actual Combo Equations
Spoiler
Now let's combo!
GL/2 Illusion (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 2(0.032561(M^2) + 29.468M + 4.884I + 4.88Y) = 0.088917(M^2) + 80.471M + 13.338I + 13.33Y in 4.79s
GL/2 Illusion (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 2(0.032561(M^2) + 29.468M + 4.884I + 0.033(X^2) + .0651MX + 29.47X) = 0.082968(M^2) + 75.086M + 12.445I + 0.084(X^2) + 0.1659MX + 75.09X in 4.79s
GL/3 Illusion (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 3(0.032561(M^2) + 29.468M + 4.884I + 4.88Y) = 0.121478(M^2) + 109.939M + 18.222I + 18.21Y in 6.53s
GL/3 Illusion (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 2(0.032561(M^2) + 29.468M + 4.884I + 0.033(X^2) + .0651MX + 29.47X) = 0.115529(M^2) + 104.554M + 17.329I + 0.117(X^2) + 0.231MX + 104.56X in 6.53s
GL/3 Blaze (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 3(0.020663(M^2) + 18.701M + 3.100I + 3.10Y) = 0.085784(M^2) + 77.638M + 12.87I + 12.87Y in 4.46s
GL/3 Blaze (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 3(0.025830(M^2) + 23.376M + 3.874I + 0.026(X^2) + .0517MX + 23.38X) = 0.095336(M^2) + 86.278M + 14.299I + 0.096(X^2) + 0.1908MX + 86.29X in 4.46s
GL/4 Blaze (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 4(0.020663(M^2) + 18.701M + 3.100I + 3.10Y) = 0.106447(M^2) + 96.339M + 15.97I + 15.97Y in 5.51s
GL/4 Blaze (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 4(0.025830(M^2) + 23.376M + 3.874I + 0.026(X^2) + .0517MX + 23.38X) = 0.121166(M^2) + 109.654M + 18.173I + 0.122(X^2) + 0.2425MX + 109.67X in 5.51s
Combo DPM!
GL/2 Illusion (w/o E.Wand 5): (60s / 4.79s) * (0.088917(M^2) + 80.471M + 13.338I + 13.33Y) = 1.113783(M^2) + 1007.987M + 167.073I + 166.97Y
GL/2 Illusion (w/ E.Wand 5): (60s / 4.79s) * (0.082968(M^2) + 75.086M + 12.445I + 0.084(X^2) + 0.1659MX + 75.09X) = 1.039265(M^2) + 940.534M + 155.887I + 1.052(X^2) + 2.0781MX + 940.58X
GL/3 Illusion (w/o E.Wand 5): (60s / 6.53s) * (0.121478(M^2) + 109.939M + 18.222I + 18.21Y) = 1.116184(M^2) + 1010.159M + 167.430I + 167.32Y
GL/3 Illusion (w/ E.Wand 5): (60s / 6.53s) * (0.115529(M^2) + 104.554M + 17.329I + 0.117(X^2) + 0.231MX + 104.56X) = 1.061522(M^2) + 960.68M + 159.225I + 1.075(X^2) + 2.1225MX + 960.74X
GL/3 Blaze (w/o E.Wand 5): (60s / 4.46s) * (0.085784(M^2) + 77.638M + 12.87I + 12.87Y) = 1.154045(M^2) + 1044.457M + 173.139I + 173.14Y
GL/3 Blaze (w/ E.Wand 5): (60s / 4.46s) * (0.095336(M^2) + 86.278M + 14.299I + 0.096(X^2) + 0.1908MX + 86.29X) = 1.282547(M^2) + 1160.691M + 192.363I + 1.291(X^2) + 2.5668MX + 1160.85X
GL/4 Blaze (w/o E.Wand 5): (60s / 5.51s) * (0.106447(M^2) + 96.339M + 15.97I + 15.97Y) = 1.159132(M^2) + 1049.064M + 173.902I + 173.90Y
GL/4 Blaze (w/ E.Wand 5): (60s / 5.51s) * (0.121166(M^2) + 109.654M + 18.173I + 0.122(X^2) + 0.2425MX + 109.67X) = 1.319412(M^2) + 1194.04M + 197.891I + 1.328(X^2) + 2.6407MX + 1194.22X
GL/2 Illusion (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 2(0.032561(M^2) + 29.468M + 4.884I + 4.88Y) = 0.088917(M^2) + 80.471M + 13.338I + 13.33Y in 4.79s
GL/2 Illusion (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 2(0.032561(M^2) + 29.468M + 4.884I + 0.033(X^2) + .0651MX + 29.47X) = 0.082968(M^2) + 75.086M + 12.445I + 0.084(X^2) + 0.1659MX + 75.09X in 4.79s
GL/3 Illusion (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 3(0.032561(M^2) + 29.468M + 4.884I + 4.88Y) = 0.121478(M^2) + 109.939M + 18.222I + 18.21Y in 6.53s
GL/3 Illusion (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 2(0.032561(M^2) + 29.468M + 4.884I + 0.033(X^2) + .0651MX + 29.47X) = 0.115529(M^2) + 104.554M + 17.329I + 0.117(X^2) + 0.231MX + 104.56X in 6.53s
GL/3 Blaze (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 3(0.020663(M^2) + 18.701M + 3.100I + 3.10Y) = 0.085784(M^2) + 77.638M + 12.87I + 12.87Y in 4.46s
GL/3 Blaze (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 3(0.025830(M^2) + 23.376M + 3.874I + 0.026(X^2) + .0517MX + 23.38X) = 0.095336(M^2) + 86.278M + 14.299I + 0.096(X^2) + 0.1908MX + 86.29X in 4.46s
GL/4 Blaze (w/o E.Wand 5): 0.023795(M^2) + 21.535M + 3.570I + 3.57Y + 4(0.020663(M^2) + 18.701M + 3.100I + 3.10Y) = 0.106447(M^2) + 96.339M + 15.97I + 15.97Y in 5.51s
GL/4 Blaze (w/ E.Wand 5): 0.017846(M^2) + 16.150M + 2.677I + 0.018(X^2) + .0357MX + 16.15X + 4(0.025830(M^2) + 23.376M + 3.874I + 0.026(X^2) + .0517MX + 23.38X) = 0.121166(M^2) + 109.654M + 18.173I + 0.122(X^2) + 0.2425MX + 109.67X in 5.51s
Combo DPM!
GL/2 Illusion (w/o E.Wand 5): (60s / 4.79s) * (0.088917(M^2) + 80.471M + 13.338I + 13.33Y) = 1.113783(M^2) + 1007.987M + 167.073I + 166.97Y
GL/2 Illusion (w/ E.Wand 5): (60s / 4.79s) * (0.082968(M^2) + 75.086M + 12.445I + 0.084(X^2) + 0.1659MX + 75.09X) = 1.039265(M^2) + 940.534M + 155.887I + 1.052(X^2) + 2.0781MX + 940.58X
GL/3 Illusion (w/o E.Wand 5): (60s / 6.53s) * (0.121478(M^2) + 109.939M + 18.222I + 18.21Y) = 1.116184(M^2) + 1010.159M + 167.430I + 167.32Y
GL/3 Illusion (w/ E.Wand 5): (60s / 6.53s) * (0.115529(M^2) + 104.554M + 17.329I + 0.117(X^2) + 0.231MX + 104.56X) = 1.061522(M^2) + 960.68M + 159.225I + 1.075(X^2) + 2.1225MX + 960.74X
GL/3 Blaze (w/o E.Wand 5): (60s / 4.46s) * (0.085784(M^2) + 77.638M + 12.87I + 12.87Y) = 1.154045(M^2) + 1044.457M + 173.139I + 173.14Y
GL/3 Blaze (w/ E.Wand 5): (60s / 4.46s) * (0.095336(M^2) + 86.278M + 14.299I + 0.096(X^2) + 0.1908MX + 86.29X) = 1.282547(M^2) + 1160.691M + 192.363I + 1.291(X^2) + 2.5668MX + 1160.85X
GL/4 Blaze (w/o E.Wand 5): (60s / 5.51s) * (0.106447(M^2) + 96.339M + 15.97I + 15.97Y) = 1.159132(M^2) + 1049.064M + 173.902I + 173.90Y
GL/4 Blaze (w/ E.Wand 5): (60s / 5.51s) * (0.121166(M^2) + 109.654M + 18.173I + 0.122(X^2) + 0.2425MX + 109.67X) = 1.319412(M^2) + 1194.04M + 197.891I + 1.328(X^2) + 2.6407MX + 1194.22X
Compilation of All Rough DPM Equations Suitable for Personal Use
Spoiler
Time for a mini-review to compile all the relevant data before extrapolation and turning this into actual information for you to digest. Here are the DPM of all skills and skill combinations that are useful for comparison or if you wanted to use your own equipment and plug in your own values. This is your chance to compare the E.Wand 5 you wish you could afford to the Purply scrolled Wisdom Staff you have stashed away, get at 'em do the work!
Remember, M = M.ATT, I = INT, Y = Difference in INT from level 64 Maple Weapon to E.Wand and X = M.ATT difference from E.Wand to Maple Weapon.
Paralyze: 1.25(M^2) + 962.5M + 187.5I
Chain Lightning: 1.141304(M^2) + 878.783M + 171.217I
F/P AM: 1.52(M^2) + 1170.4M + 228I
I/L AM: 1.471304(M^2) + 1132.883M + 220.717I
Illusion: 1.020724(M^2) + 923.759M + 153.103I
Blaze: 1.341804(M^2) + 1214.332M + 201.271I
GL: 0.990779(M^2) + 896.656M + 148.626I
GL (-25%): 0.743084(M^2) + 672.458M + 111.481I
GL/2 Illusion (w/o E.Wand 5): (60s / 4.79s) * (0.088917(M^2) + 80.471M + 13.338I + 13.33Y) = 1.113783(M^2) + 1007.987M + 167.073I + 166.97Y
GL/2 Illusion (w/ E.Wand 5): (60s / 4.79s) * (0.082968(M^2) + 75.086M + 12.445I + 0.084(X^2) + 0.1659MX + 75.09X) = 1.039265(M^2) + 940.534M + 155.887I + 1.052(X^2) + 2.0781MX + 940.58X
GL/3 Illusion (w/o E.Wand 5): (60s / 6.53s) * (0.121478(M^2) + 109.939M + 18.222I + 18.21Y) = 1.116184(M^2) + 1010.159M + 167.430I + 167.32Y
GL/3 Illusion (w/ E.Wand 5): (60s / 6.53s) * (0.115529(M^2) + 104.554M + 17.329I + 0.117(X^2) + 0.231MX + 104.56X) = 1.061522(M^2) + 960.68M + 159.225I + 1.075(X^2) + 2.1225MX + 960.74X
GL/3 Blaze (w/o E.Wand 5): (60s / 4.46s) * (0.085784(M^2) + 77.638M + 12.87I + 12.87Y) = 1.154045(M^2) + 1044.457M + 173.139I + 173.14Y
GL/3 Blaze (w/ E.Wand 5): (60s / 4.46s) * (0.095336(M^2) + 86.278M + 14.299I + 0.096(X^2) + 0.1908MX + 86.29X) = 1.282547(M^2) + 1160.691M + 192.363I + 1.291(X^2) + 2.5668MX + 1160.85X
GL/4 Blaze (w/o E.Wand 5): (60s / 5.51s) * (0.106447(M^2) + 96.339M + 15.97I + 15.97Y) = 1.159132(M^2) + 1049.064M + 173.902I + 173.90Y
GL/4 Blaze (w/ E.Wand 5): (60s / 5.51s) * (0.121166(M^2) + 109.654M + 18.173I + 0.122(X^2) + 0.2425MX + 109.67X) = 1.319412(M^2) + 1194.04M + 197.891I + 1.328(X^2) + 2.6407MX + 1194.22X
Remember, M = M.ATT, I = INT, Y = Difference in INT from level 64 Maple Weapon to E.Wand and X = M.ATT difference from E.Wand to Maple Weapon.
Paralyze: 1.25(M^2) + 962.5M + 187.5I
Chain Lightning: 1.141304(M^2) + 878.783M + 171.217I
F/P AM: 1.52(M^2) + 1170.4M + 228I
I/L AM: 1.471304(M^2) + 1132.883M + 220.717I
Illusion: 1.020724(M^2) + 923.759M + 153.103I
Blaze: 1.341804(M^2) + 1214.332M + 201.271I
GL: 0.990779(M^2) + 896.656M + 148.626I
GL (-25%): 0.743084(M^2) + 672.458M + 111.481I
GL/2 Illusion (w/o E.Wand 5): (60s / 4.79s) * (0.088917(M^2) + 80.471M + 13.338I + 13.33Y) = 1.113783(M^2) + 1007.987M + 167.073I + 166.97Y
GL/2 Illusion (w/ E.Wand 5): (60s / 4.79s) * (0.082968(M^2) + 75.086M + 12.445I + 0.084(X^2) + 0.1659MX + 75.09X) = 1.039265(M^2) + 940.534M + 155.887I + 1.052(X^2) + 2.0781MX + 940.58X
GL/3 Illusion (w/o E.Wand 5): (60s / 6.53s) * (0.121478(M^2) + 109.939M + 18.222I + 18.21Y) = 1.116184(M^2) + 1010.159M + 167.430I + 167.32Y
GL/3 Illusion (w/ E.Wand 5): (60s / 6.53s) * (0.115529(M^2) + 104.554M + 17.329I + 0.117(X^2) + 0.231MX + 104.56X) = 1.061522(M^2) + 960.68M + 159.225I + 1.075(X^2) + 2.1225MX + 960.74X
GL/3 Blaze (w/o E.Wand 5): (60s / 4.46s) * (0.085784(M^2) + 77.638M + 12.87I + 12.87Y) = 1.154045(M^2) + 1044.457M + 173.139I + 173.14Y
GL/3 Blaze (w/ E.Wand 5): (60s / 4.46s) * (0.095336(M^2) + 86.278M + 14.299I + 0.096(X^2) + 0.1908MX + 86.29X) = 1.282547(M^2) + 1160.691M + 192.363I + 1.291(X^2) + 2.5668MX + 1160.85X
GL/4 Blaze (w/o E.Wand 5): (60s / 5.51s) * (0.106447(M^2) + 96.339M + 15.97I + 15.97Y) = 1.159132(M^2) + 1049.064M + 173.902I + 173.90Y
GL/4 Blaze (w/ E.Wand 5): (60s / 5.51s) * (0.121166(M^2) + 109.654M + 18.173I + 0.122(X^2) + 0.2425MX + 109.67X) = 1.319412(M^2) + 1194.04M + 197.891I + 1.328(X^2) + 2.6407MX + 1194.22X
Reasonable Approximations for the X and Y Variables
Please Read the ALL CAPS Disclaimer
Spoiler
Not everyone expects to do their own work, nor is figuring one's best course attack any use for the Evan community in general, I am a man of the people so it's time to start paring down the equations to something relatively comparable.
First, we will need to establish some base of weapon comparison to fill in those pesky Y and X variables, using base values, an E.Wand 5 will have 145 M.ATT and 2 INT, either level 64 Maple Weapon (64MW) will have 80 M.ATT and 1 INT. However, due to their availability they will likely be scrolled differently, which is why X and Y were added in the first place.
Disclaimer: I DON'T CARE IF YOUR E.WAND 5 IS 30%ED OR YOU HAVE A 130 M.ATT 64MW, I AM USING TYPICAL SCROLLING RESULTS AND A BIT OF MY OWN SCROLLING EXPERIENCE, IF YOUI DON'T LIKE IT, THE EQUATIONS ARE UP THERE, BUDDY.
As I was saying, one would likely not scroll an E.Wand 5 with anything more than 60% scrolls so no complex calculations there. However, a 64MW could easily have 2 30%'s passed before continuing with 60% or I have a pair with 3 30%'s, I really want to see if a E.Wand 5 can stand the heat of a 64MW so I'll use the 3 30%s landed followed by all 60%. Given this information and all scrolls passing, our final weapons for comparison are a 9 INT, 159 M.ATT E.Wand 5 versus a 14 INT, 103 M.ATT 64MW. X is therefore 56 and Y is then 5. So relisting DPM with fancy new numbers...
Paralyze: 1.25(M^2) + 962.5M + 187.5I
Chain Lightning: 1.141304(M^2) + 878.783M + 171.217I
F/P AM: 1.52(M^2) + 1170.4M + 228I
I/L AM: 1.471304(M^2) + 1132.883M + 220.717I
Illusion: 1.020724(M^2) + 923.759M + 153.103I
Blaze: 1.341804(M^2) + 1214.332M + 201.271I
GL: 0.990779(M^2) + 1007.623M + 148.626I
GL (-25%): 0.743084(M^2) + 755.6834M + 111.481I
GL/2 Illusion (w/o E.Wand 5): 1.113783(M^2) + 896.656M + 167.073I + 835
GL/2 Illusion (w/ E.Wand 5): 1.039265(M^2) + 1056.908M + 114.349I + 55972
GL/3 Illusion (w/o E.Wand 5): 1.116184(M^2) + 1377.106M + 228.251I + 837
GL/3 Illusion (w/ E.Wand 5): 1.061522(M^2) + 1079.54M + 159.225I + 57173
GL/3 Blaze (w/o E.Wand 5): 1.154045(M^2) + 1044.457M + 173.139I + 866
GL/3 Blaze (w/ E.Wand 5): 1.282547(M^2) + 1304.432M + 192.363I + 69056
GL/4 Blaze (w/o E.Wand 5): 1.159132(M^2) + 1296.04M + 214.843I + 870
GL/4 Blaze (w/ E.Wand 5): 1.319412(M^2) + 1341.919M + 244.48I + 71041
First, we will need to establish some base of weapon comparison to fill in those pesky Y and X variables, using base values, an E.Wand 5 will have 145 M.ATT and 2 INT, either level 64 Maple Weapon (64MW) will have 80 M.ATT and 1 INT. However, due to their availability they will likely be scrolled differently, which is why X and Y were added in the first place.
Disclaimer: I DON'T CARE IF YOUR E.WAND 5 IS 30%ED OR YOU HAVE A 130 M.ATT 64MW, I AM USING TYPICAL SCROLLING RESULTS AND A BIT OF MY OWN SCROLLING EXPERIENCE, IF YOUI DON'T LIKE IT, THE EQUATIONS ARE UP THERE, BUDDY.
As I was saying, one would likely not scroll an E.Wand 5 with anything more than 60% scrolls so no complex calculations there. However, a 64MW could easily have 2 30%'s passed before continuing with 60% or I have a pair with 3 30%'s, I really want to see if a E.Wand 5 can stand the heat of a 64MW so I'll use the 3 30%s landed followed by all 60%. Given this information and all scrolls passing, our final weapons for comparison are a 9 INT, 159 M.ATT E.Wand 5 versus a 14 INT, 103 M.ATT 64MW. X is therefore 56 and Y is then 5. So relisting DPM with fancy new numbers...
Paralyze: 1.25(M^2) + 962.5M + 187.5I
Chain Lightning: 1.141304(M^2) + 878.783M + 171.217I
F/P AM: 1.52(M^2) + 1170.4M + 228I
I/L AM: 1.471304(M^2) + 1132.883M + 220.717I
Illusion: 1.020724(M^2) + 923.759M + 153.103I
Blaze: 1.341804(M^2) + 1214.332M + 201.271I
GL: 0.990779(M^2) + 1007.623M + 148.626I
GL (-25%): 0.743084(M^2) + 755.6834M + 111.481I
GL/2 Illusion (w/o E.Wand 5): 1.113783(M^2) + 896.656M + 167.073I + 835
GL/2 Illusion (w/ E.Wand 5): 1.039265(M^2) + 1056.908M + 114.349I + 55972
GL/3 Illusion (w/o E.Wand 5): 1.116184(M^2) + 1377.106M + 228.251I + 837
GL/3 Illusion (w/ E.Wand 5): 1.061522(M^2) + 1079.54M + 159.225I + 57173
GL/3 Blaze (w/o E.Wand 5): 1.154045(M^2) + 1044.457M + 173.139I + 866
GL/3 Blaze (w/ E.Wand 5): 1.282547(M^2) + 1304.432M + 192.363I + 69056
GL/4 Blaze (w/o E.Wand 5): 1.159132(M^2) + 1296.04M + 214.843I + 870
GL/4 Blaze (w/ E.Wand 5): 1.319412(M^2) + 1341.919M + 244.48I + 71041
Simplifying Variable I and Adjusting All Equations Appropriately to Show Simplified DPM
Spoiler
All right, a bit clearer, however along with X and Y, an easily derived or probably more appropriately guesstimated value is I, this can be expressed simply as M - Z, where Z is the amount of M.ATT gear and weapons possessed. I'm not going to replace a variable by introducing a new variable so Z will be a number. Originally, I had planned on taking the value of Z to be the average of the M.ATT of the weapons (simple (E.Wand 5 + 64MW) / 2) added to some 20 M.ATT attained from other equips, however, that is a slippery slope I am not yet ready to fall down.
So eschewing simplicity, I realized that in earlier steps, I've already added additional M.ATT to the value of M (remember M + X), so I can take the full value of M.ATT of the weapon's M.ATT out of M when computing I plus the 20 or so I would expect of additional M.ATT from non-weapon equips. So, for E.Wand users (Evan, AM) and appropriate equations I = M - 179 and other instances of non-E.Wandery I = M - 123. In order to level the playing field so that AM's and spam only Evans don't get an unnecessary amount lopped off their damage when computing I, I will concurrently in the calculations leading to below add the 56 to M that the Evans received when I was comparing combos.
Paralyze: 1.25(M^2) + 1290M + 24258
Chain Lightning: 1.141304(M^2) + 1177.826M + 22143
F/P AM: 1.52(M^2) + 1568.64M + 29497
I/L AM: 1.471304(M^2) + 1518.386M + 28547
Illusion: 1.020724(M^2) + 1191.183M + 27526
Blaze: 1.341804(M^2) + 1565.885M + 36182
GL: 0.990779(M^2) + 1045.282M - 17538
GL (-25%): 0.743084(M^2) + 867.164M + 20033
GL/2 Illusion (w/o E.Wand 5): 1.113783(M^2) + 1175.06M - 19715
GL/2 Illusion (w/ E.Wand 5): 1.039265(M^2) + 1096.421M + 28068
GL/3 Illusion (w/o E.Wand 5): 1.116184(M^2) + 1177.589M - 19757
GL/3 Illusion (w/ E.Wand 5): 1.061522(M^2) + 1119.905M + 28672
GL/3 Blaze (w/o E.Wand 5): 1.154045(M^2) + 1217.596M - 20430
GL/3 Blaze (w/ E.Wand 5): 1.282547(M^2) + 1353.054M + 34623
GL/4 Blaze (w/o E.Wand 5): 1.159132(M^2) + 1222.966M - 20520
GL/4 Blaze (w/ E.Wand 5): 1.319412(M^2) + 1391.931M + 35619
So eschewing simplicity, I realized that in earlier steps, I've already added additional M.ATT to the value of M (remember M + X), so I can take the full value of M.ATT of the weapon's M.ATT out of M when computing I plus the 20 or so I would expect of additional M.ATT from non-weapon equips. So, for E.Wand users (Evan, AM) and appropriate equations I = M - 179 and other instances of non-E.Wandery I = M - 123. In order to level the playing field so that AM's and spam only Evans don't get an unnecessary amount lopped off their damage when computing I, I will concurrently in the calculations leading to below add the 56 to M that the Evans received when I was comparing combos.
Paralyze: 1.25(M^2) + 1290M + 24258
Chain Lightning: 1.141304(M^2) + 1177.826M + 22143
F/P AM: 1.52(M^2) + 1568.64M + 29497
I/L AM: 1.471304(M^2) + 1518.386M + 28547
Illusion: 1.020724(M^2) + 1191.183M + 27526
Blaze: 1.341804(M^2) + 1565.885M + 36182
GL: 0.990779(M^2) + 1045.282M - 17538
GL (-25%): 0.743084(M^2) + 867.164M + 20033
GL/2 Illusion (w/o E.Wand 5): 1.113783(M^2) + 1175.06M - 19715
GL/2 Illusion (w/ E.Wand 5): 1.039265(M^2) + 1096.421M + 28068
GL/3 Illusion (w/o E.Wand 5): 1.116184(M^2) + 1177.589M - 19757
GL/3 Illusion (w/ E.Wand 5): 1.061522(M^2) + 1119.905M + 28672
GL/3 Blaze (w/o E.Wand 5): 1.154045(M^2) + 1217.596M - 20430
GL/3 Blaze (w/ E.Wand 5): 1.282547(M^2) + 1353.054M + 34623
GL/4 Blaze (w/o E.Wand 5): 1.159132(M^2) + 1222.966M - 20520
GL/4 Blaze (w/ E.Wand 5): 1.319412(M^2) + 1391.931M + 35619
Ordering DPM Equations Based on a General Overlooking
Spoiler
Wow! You made it this far, now let's put these in order from greatest DPM to lowest DPM based solely on initial viewing:
Code:
F/P AM: 1.52(M^2) + 1568.64M + 29497
I/L AM: 1.471304(M^2) + 1518.386M + 28547
Blaze: 1.341804(M^2) + 1565.885M + 36182
GL/4 Blaze (w/ E.Wand 5): 1.319412(M^2) + 1391.931M + 35619
GL/3 Blaze (w/ E.Wand 5): 1.282547(M^2) + 1353.054M + 34623
Paralyze: 1.25(M^2) + 1290M + 24258
GL/4 Blaze (w/o E.Wand 5): 1.159132(M^2) + 1222.966M - 20520
GL/3 Blaze (w/o E.Wand 5): 1.154045(M^2) + 1217.596M - 20430
Chain Lightning: 1.141304(M^2) + 1177.826M + 22143
GL/3 Illusion (w/o E.Wand 5): 1.116184(M^2) + 1177.589M - 19757
GL/2 Illusion (w/o E.Wand 5): 1.113783(M^2) + 1175.06M - 19715
GL/3 Illusion (w/ E.Wand 5): 1.061522(M^2) + 1119.905M + 28672
GL/2 Illusion (w/ E.Wand 5): 1.039265(M^2) + 1096.421M + 28068
Illusion: 1.020724(M^2) + 1191.183M + 27526
GL: 0.990779(M^2) + 1045.282M - 17538
GL (-25%): 0.743084(M^2) + 867.164M + 20033Comparable RESULTS
Spoiler
Using a nice round number like M = 1000 should give numbers that can be compared, since these equations don't do much for most people's comparative powers, of course, you may be AM/Evan on steroids or super high-leveled, so your results may vary (especially with squaring involved). Once again, for individual computations, all necessary equations are located above.
Code:
F/P AM: 3,118,137
I/L AM: 3,018,237
Blaze: 2,943,871
GL/4 Blaze (w/ E.Wand 5): 2,746,962
GL/3 Blaze (w/ E.Wand 5): 2,670,224
Paralyze: 2,564,258
GL/4 Blaze (w/o E.Wand 5): 2,361,578
GL/3 Blaze (w/o E.Wand 5): 2,351,211
Chain Lightning: 2,341,273
GL/3 Illusion (w/o E.Wand 5): 2,274,016
GL/2 Illusion (w/o E.Wand 5): 2,269,128
Illusion: 2,239,433 (Up two spots)
GL/3 Illusion (w/ E.Wand 5): 2,210,099
GL/2 Illusion (w/ E.Wand 5): 2,163,754
GL: 2,018,523
GL (-25%): 1,630,281History and Shortcomings
Spoiler
This is the third iteration of this work, the first lost when Windows Update decided to restart during a break (no AutoSave, this is Notepad) and the second scrapped because it actually showed Evans to be juggernauts (compared to AM), but only due to severe miscalculations in combo times.
As version 3, this is also not without problems, namely I forgot to include differences in DPM's that would result of the extra 50 or so M.ATT that Evans receive from their various skills. This problem is not egregious enough to cause a full scrap of this version too, since it doesn't affect the most critical part of the equation, the M^2 portions; it can be expected that with these added in, the coefficient of M for all Evan calculations would go up approximately 100~120 or and the number hanging at the end would increase at most 50K or so. The sum of these changes would be an estimated change for the total DPM with M =1000 at about 100K~150K depending on which skill were talking about, so add approximately that to the DPM values for Evans.
So for pure comparative purposes, it would not change the ordering since they are all scaled by the coefficient of the M^2 term with the exception that Blaze might beat F/P AM and I/L AM under certain conditions.
As version 3, this is also not without problems, namely I forgot to include differences in DPM's that would result of the extra 50 or so M.ATT that Evans receive from their various skills. This problem is not egregious enough to cause a full scrap of this version too, since it doesn't affect the most critical part of the equation, the M^2 portions; it can be expected that with these added in, the coefficient of M for all Evan calculations would go up approximately 100~120 or and the number hanging at the end would increase at most 50K or so. The sum of these changes would be an estimated change for the total DPM with M =1000 at about 100K~150K depending on which skill were talking about, so add approximately that to the DPM values for Evans.
So for pure comparative purposes, it would not change the ordering since they are all scaled by the coefficient of the M^2 term with the exception that Blaze might beat F/P AM and I/L AM under certain conditions.
Some Observations
Spoiler
Originally, I had fallen upon work that demonstrated that at some value X, in M + X, using a GL/# Illusion combo would be stronger with an E.Wand 5 than without, however, I am surprised to find that under common scrolling this would not occur and nearly under no circumstances would this occur. I guess you don't need to throw those 64MW's to the Priests/Bishops just yet.
As indicated in the numerical findings, a non-comboed or spammed Illusion with an E.Wand 5 is stronger than comboed GL/2 or 3 Illusion with E.Wand 5. This demonstrates, just how detrimental the E.Wand 5's -25% against Dark is.
Along with the previous observation, I had always been under the impression that GL only provided a negligible about of DPM during comboing, but it would appear that it is quite important.
Blaze is fast enough or strong enough to not need the additional ~10% damage that GL would provide during combo.
My I/L and future Evan shouldn't feel bad, they aren't even that far (or at all) behind F/P AM's in terms of damage, especially since CL is so much cooler!
If you can be quick and time it best, when comboing, the greater number of "main" attack skills cast between GL is better, but given the fact that most people will take damage or teleport or need to reposition, it will be unlikely.
The "no-delay" of a macro will solve some of those problems, maybe a GL/Ill./Ill. macro? or a GL then 3xBlaze macro?
As indicated in the numerical findings, a non-comboed or spammed Illusion with an E.Wand 5 is stronger than comboed GL/2 or 3 Illusion with E.Wand 5. This demonstrates, just how detrimental the E.Wand 5's -25% against Dark is.
Along with the previous observation, I had always been under the impression that GL only provided a negligible about of DPM during comboing, but it would appear that it is quite important.
Blaze is fast enough or strong enough to not need the additional ~10% damage that GL would provide during combo.
My I/L and future Evan shouldn't feel bad, they aren't even that far (or at all) behind F/P AM's in terms of damage, especially since CL is so much cooler!
If you can be quick and time it best, when comboing, the greater number of "main" attack skills cast between GL is better, but given the fact that most people will take damage or teleport or need to reposition, it will be unlikely.
The "no-delay" of a macro will solve some of those problems, maybe a GL/Ill./Ill. macro? or a GL then 3xBlaze macro?
Problems Recently Realized that may Contribute to Error or that will Need/Be Fixed in the Future:
Spoiler
The aforementioned lollevel 180ish Onyx Blessing added in along with addition M.ATT from Magic Mastery; the first mastery skill (name escapes my mind) is negated with the AM's Meditation.
Comboing past the 5 second time would result in a GL that is never buffed by its own or the preceding GL's 10% increase, therefore all GL/4 Blaze and GL/3 Illusion combo DPM needs to be adjusted so that the GL component is based on a GL with only 1.35, 1.15, 1.10 and where applicable (0.75) multipliers, no second 1.10.
Retesting and recalculations of Blaze and its spam and combo to determine why comboing is less effective than sheer spamming.
Check AM values, they seem high especially compared to previous work.
Comboing past the 5 second time would result in a GL that is never buffed by its own or the preceding GL's 10% increase, therefore all GL/4 Blaze and GL/3 Illusion combo DPM needs to be adjusted so that the GL component is based on a GL with only 1.35, 1.15, 1.10 and where applicable (0.75) multipliers, no second 1.10.
Retesting and recalculations of Blaze and its spam and combo to determine why comboing is less effective than sheer spamming.
Check AM values, they seem high especially compared to previous work.
I request that all of this work is kept here on Southperry in order to direct traffic here and any other postings of results found within to at least casually mention where the complete work can be found. Of course, I cannot enforce this, it's just a bit part that I can do to support the site.
Big question! How can I format the post so that I can align all numbers? Tab obviously doesn't work, indentation moves things to the next line and excessive spaces are reduced to a single space.
Edit (Minor): Thank you Tikey, your suggestion for using the code tag worked albeit with a little trial-and-error, but what counts is that it worked, thank you.
Evan DPM: Revisited - Tikey - 2010-03-23
Interesting. I'll have to read more into this later. Also, to line up characters, you might have to use the code tags.
Evan DPM: Revisited - Corn - 2010-03-23
I'm sorry, I'll admit I skimmed, but in some of your calculations, what do GL/2 and GL/3 mean? Ghost Lettering #?
Evan DPM: Revisited - JoeTang - 2010-03-23
ClawofBeta Wrote:I'm sorry, I'll admit I skimmed, but in some of your calculations, what do GL/2 and GL/3 mean? Ghost Lettering #?
It means Ghost Lettering followed by X numbers of Y skill.
i.e.
GL/3 Blaze is Ghost Lettering followed by 3 Blaze; repeat for DPM.
Evan DPM: Revisited - MorbidMagus - 2010-03-24
Ahh, I've been waiting for this results for what seems like forever even though its only been a few days.
Its great knowing that I can still use my Ewand 5 at 130 and not be super behind in damage then those who use the level 64 maple weapons and the GL+Illusion combo.
Sucks though, I was hoping that the GL+Blaze combo combined with an Elewand would give Evans what they needed to out damage Archmages, but to my amazement it doesn't even outdamage Blaze spammage O_o
but you answered all my questions regarding dpm/dps of an Evan that I asked on the Dark Element thread on Basil, thank you ^_^
Evan DPM: Revisited - Corn - 2010-03-27
I'm assuming when you said "Blaze" in your Comparable results, it's with an Elemental Wand, right?
Sorry. I'm not good at calculations.