Modeling the d20 Algorithm
We now have all the pieces we need to emulate melee combat in EverQuest except one, which is sort of like the keystone to the whole system: rolling d20 from offense and mitigation.
As I mentioned above, the probability distribution for the 20 possible damage values is a shallow bell curve with the ends compressed. For TAKP, I have replicated this curve by employing the Box-Muller Transform to generate a gaussian distribution, which I snatched from
here.
Here is the algorithm I came up with, in lua:
Code:
function RollD20(offense, mitigation)
local diff, mult1, mult2;
mitigation = mitigation - (mitigation - offense) / 2;
diff = offense - mitigation;
if ( offense > 30 ) then
mult1 = offense / 200 + 25.75;
if ( mitigation / offense < 0.35 ) then
mult1 = mult1 + 1;
elseif ( mitigation / offense > 0.65 ) then
mult1 = mult1 - 1;
end
else
mult1 = 11.5 + offense / 2;
end
if ( offense > 30 ) then
mult2 = offense / 140 + 18.5;
else
mult2 = 14 + offense / 6;
end
local mean = 0;
if ( offense > mitigation ) then
mean = diff / offense * mult1;
elseif ( mitigation > offense ) then
mean = diff / mitigation * mult2;
end
local stddev = 8.8;
local theta = 2 * math.pi * math.random();
local rho = math.sqrt(-2 * math.log(1 - math.random()));
local d = mean + stddev * rho * math.cos(theta);
if ( d < -9.5 ) then
d = -9.5;
elseif ( d > 9.5 ) then
d = 9.5;
end
d = d + 11;
d = math.floor(d);
return d;
end
This mimics the curve fairly accurately, but not precisely. The mean and standard deviation were derived from some thought plus trial and error. I'm not a math genius so perhaps somebody else with more mathematical ability can come up something better, although it's close enough that players won't notice a difference.
Sony's d20 algorithm seems to have some sort of modifier that reduces the impact of disparity at very low levels, like avoidance has. The mess of code that calculates mult1 and mult2 was intended to compensate for this modifier that I was unable to figure out with precision. This code is the result of many, many simulations ran against a couple hundred logs of varying mitigation and offense values.
Here is how output from this function compares to an actual log:
Code:
Lvl61War 224wAC 1061AC 273def 126agi backface Lvl60NPCTestSixty.txt
1] 102: 6694 (15.2%)
2] 119: 1171 (2.6%)
3] 135: 1387 (3.1%)
4] 152: 1483 (3.3%)
5] 168: 1558 (3.5%)
6] 184: 1735 (3.9%)
7] 201: 1772 (4%)
8] 218: 1898 (4.3%)
9] 235: 2068 (4.7%)
10] 251: 2125 (4.8%)
11] 267: 2206 (5%)
12] 284: 2048 (4.6%)
13] 300: 1888 (4.2%)
14] 317: 1808 (4.1%)
15] 333: 1635 (3.7%)
16] 350: 1593 (3.6%)
17] 367: 1456 (3.3%)
18] 383: 1370 (3.1%)
19] 400: 1307 (2.9%)
20] 416: 6778 (15.4%)
Code:
Simulated DI Probabilities using Offense 100, Defense 100, Rolls 1000000
1] 15.28%
2] 2.85%
3] 3.16%
4] 3.43%
5] 3.71%
6] 3.98%
7] 4.18%
8] 4.34%
9] 4.44%
10] 4.55%
11] 4.51%
12] 4.49%
13] 4.37%
14] 4.20%
15] 3.96%
16] 3.76%
17] 3.45%
18] 3.15%
19] 2.83%
20] 15.34%
My function is slightly flatter, but that's the closest I could get it.
Another interesting result from both Sony's and my mitigation functions is that at extreme offense/mitigation disparity, the results end up with a maximum DI1 or DI20 probability of 75%. When I parsed a level 50 NPC with a level 1 armorless character for example, the DI20 probability was 74.6%. A level 1 kobold runt also parsed at roughly 75% DI1 on a time geared warrior.
Before the source code was pasted, I was able to figure out the player character damage multiplier roll chances by attacking Test Ten with a very high atk, knowing that DI20 would be 75%; simply multiplying the modal hit chance by 1.3333 (100% / 75%) will give you the approximate chance to not roll the multiplier because a modal hit at very high atk almost certainly means that the multiplier was not rolled.
One of the tools I created in this endeavor was to model the combat system in a lua script so that I could easily run simulations to compare actual parsed data with. (disim.lua) Here is the above algorithm compared with parsed Live data from 182 multi-hour logs:
Code:
a kobold runt lvl 1 - Offense: 5; Mitigation: 1; Effective Mitigation: 1.0; Mit Mod: -2.0 Mult1: 14.0; Mult2: 14.8
Real DI1: 05.00%; Simulated DI1: 04.87% (-0.1)
Real DI20: 34.80%; Simulated DI20: 35.01% (0.2)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 2; Effective Mitigation: 2.0; Mit Mod: -1.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 08.70%; Simulated DI1: 06.69% (-2.0)
Real DI20: 30.30%; Simulated DI20: 29.29% (-1.0)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 3; Effective Mitigation: 3.0; Mit Mod: -1.0 Mult1: 14.0; Mult2: 14.8
Real DI1: 12.90%; Simulated DI1: 09.03% (-3.9)
Real DI20: 18.70%; Simulated DI20: 24.06% (5.4)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 4; Effective Mitigation: 4.0; Mit Mod: -0.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 16.90%; Simulated DI1: 11.93% (-5.0)
Real DI20: 17.00%; Simulated DI20: 19.36% (2.4)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 5; Effective Mitigation: 5.0; Mit Mod: 0.0 Mult1: 14.0; Mult2: 14.8
Real DI1: 16.30%; Simulated DI1: 15.37% (-0.9)
Real DI20: 15.00%; Simulated DI20: 15.32% (0.3)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 6; Effective Mitigation: 6.0; Mit Mod: 0.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 18.70%; Simulated DI1: 19.18% (0.5)
Real DI20: 13.80%; Simulated DI20: 11.97% (-1.8)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 10; Effective Mitigation: 10.0; Mit Mod: 2.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 30.00%; Simulated DI1: 32.21% (2.2)
Real DI20: 06.50%; Simulated DI20: 05.68% (-0.8)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 15; Effective Mitigation: 15.0; Mit Mod: 5.0 Mult1: 14.0; Mult2: 14.8
Real DI1: 43.20%; Simulated DI1: 42.79% (-0.4)
Real DI20: 01.80%; Simulated DI20: 03.13% (1.3)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 20; Effective Mitigation: 20.0; Mit Mod: 7.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 50.90%; Simulated DI1: 49.51% (-1.4)
Real DI20: 00.30%; Simulated DI20: 02.10% (1.8)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 26; Effective Mitigation: 26.0; Mit Mod: 10.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 53.60%; Simulated DI1: 54.73% (1.1)
Real DI20: 00.40%; Simulated DI20: 01.53% (1.1)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 30; Effective Mitigation: 30.0; Mit Mod: 12.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 58.70%; Simulated DI1: 57.33% (-1.4)
Real DI20: 00.00%; Simulated DI20: 01.29% (1.3)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 35; Effective Mitigation: 35.0; Mit Mod: 15.0 Mult1: 14.0; Mult2: 14.8
Real DI1: 60.30%; Simulated DI1: 59.50% (-0.8)
Real DI20: 00.00%; Simulated DI20: 01.11% (1.1)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 39; Effective Mitigation: 39.0; Mit Mod: 17.0 Mult1: 14.0; Mult2: 14.8
Real DI1: 57.20%; Simulated DI1: 60.98% (3.8)
Real DI20: 00.00%; Simulated DI20: 01.00% (1.0)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 43; Effective Mitigation: 43.0; Mit Mod: 19.0 Mult1: 14.0; Mult2: 14.8
Real DI1: 58.70%; Simulated DI1: 62.29% (3.6)
Real DI20: 00.00%; Simulated DI20: 00.91% (0.9)
------------------------------------------------------------------
a kobold runt lvl 1 - Offense: 5; Mitigation: 1253; Effective Mitigation: 718.0; Mit Mod: 356.5 Mult1: 14.0; Mult2: 14.8
Real DI1: 78.70%; Simulated DI1: 73.81% (-4.9)
Real DI20: 00.00%; Simulated DI20: 00.36% (0.4)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 1; Effective Mitigation: 1.0; Mit Mod: -4.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 01.04%; Simulated DI1: 03.08% (2.0)
Real DI20: 46.90%; Simulated DI20: 42.93% (-4.0)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 2; Effective Mitigation: 2.0; Mit Mod: -4.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 02.61%; Simulated DI1: 03.78% (1.2)
Real DI20: 44.10%; Simulated DI20: 39.26% (-4.8)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 3; Effective Mitigation: 3.0; Mit Mod: -3.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 02.26%; Simulated DI1: 04.65% (2.4)
Real DI20: 40.48%; Simulated DI20: 35.74% (-4.7)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 5; Effective Mitigation: 5.0; Mit Mod: -2.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 06.47%; Simulated DI1: 06.77% (0.3)
Real DI20: 27.98%; Simulated DI20: 29.03% (1.1)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 6; Effective Mitigation: 6.0; Mit Mod: -2.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 08.92%; Simulated DI1: 08.10% (-0.8)
Real DI20: 24.77%; Simulated DI20: 25.94% (1.2)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 7; Effective Mitigation: 7.0; Mit Mod: -1.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 07.95%; Simulated DI1: 09.62% (1.7)
Real DI20: 23.30%; Simulated DI20: 22.92% (-0.4)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 9; Effective Mitigation: 9.0; Mit Mod: -0.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 12.83%; Simulated DI1: 13.20% (0.4)
Real DI20: 16.17%; Simulated DI20: 17.70% (1.5)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 10; Effective Mitigation: 10.0; Mit Mod: 0.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 14.97%; Simulated DI1: 15.34% (0.4)
Real DI20: 14.69%; Simulated DI20: 15.30% (0.6)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 11; Effective Mitigation: 11.0; Mit Mod: 0.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 14.12%; Simulated DI1: 17.39% (3.3)
Real DI20: 13.93%; Simulated DI20: 13.41% (-0.5)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 13; Effective Mitigation: 13.0; Mit Mod: 1.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 19.27%; Simulated DI1: 21.57% (2.3)
Real DI20: 09.65%; Simulated DI20: 10.45% (0.8)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 14; Effective Mitigation: 14.0; Mit Mod: 2.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 21.96%; Simulated DI1: 23.39% (1.4)
Real DI20: 09.18%; Simulated DI20: 09.34% (0.2)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 15; Effective Mitigation: 15.0; Mit Mod: 2.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 20.94%; Simulated DI1: 25.33% (4.4)
Real DI20: 08.77%; Simulated DI20: 08.36% (-0.4)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 17; Effective Mitigation: 17.0; Mit Mod: 3.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 26.11%; Simulated DI1: 28.70% (2.6)
Real DI20: 05.97%; Simulated DI20: 06.94% (1.0)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 18; Effective Mitigation: 18.0; Mit Mod: 4.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 28.85%; Simulated DI1: 30.36% (1.5)
Real DI20: 05.77%; Simulated DI20: 06.31% (0.5)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 19; Effective Mitigation: 19.0; Mit Mod: 4.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 27.42%; Simulated DI1: 31.96% (4.5)
Real DI20: 07.48%; Simulated DI20: 05.73% (-1.8)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 21; Effective Mitigation: 21.0; Mit Mod: 5.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 36.60%; Simulated DI1: 34.77% (-1.8)
Real DI20: 05.08%; Simulated DI20: 04.90% (-0.2)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 22; Effective Mitigation: 22.0; Mit Mod: 6.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 38.60%; Simulated DI1: 36.26% (-2.3)
Real DI20: 04.89%; Simulated DI20: 04.55% (-0.3)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 25; Effective Mitigation: 25.0; Mit Mod: 7.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 41.37%; Simulated DI1: 39.68% (-1.7)
Real DI20: 03.30%; Simulated DI20: 03.71% (0.4)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 30; Effective Mitigation: 30.0; Mit Mod: 10.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 46.90%; Simulated DI1: 44.82% (-2.1)
Real DI20: 01.72%; Simulated DI20: 02.80% (1.1)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 35; Effective Mitigation: 35.0; Mit Mod: 12.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 48.37%; Simulated DI1: 48.63% (0.3)
Real DI20: 00.96%; Simulated DI20: 02.24% (1.3)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 41; Effective Mitigation: 41.0; Mit Mod: 15.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 53.35%; Simulated DI1: 52.40% (-0.9)
Real DI20: 00.10%; Simulated DI20: 01.77% (1.7)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 45; Effective Mitigation: 45.0; Mit Mod: 17.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 54.96%; Simulated DI1: 54.38% (-0.6)
Real DI20: 00.00%; Simulated DI20: 01.55% (1.6)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 50; Effective Mitigation: 50.0; Mit Mod: 20.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 57.39%; Simulated DI1: 56.57% (-0.8)
Real DI20: 00.00%; Simulated DI20: 01.36% (1.4)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 55; Effective Mitigation: 55.0; Mit Mod: 22.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 57.64%; Simulated DI1: 58.35% (0.7)
Real DI20: 00.00%; Simulated DI20: 01.21% (1.2)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 61; Effective Mitigation: 61.0; Mit Mod: 25.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 61.83%; Simulated DI1: 60.05% (-1.8)
Real DI20: 00.00%; Simulated DI20: 01.08% (1.1)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 70; Effective Mitigation: 70.0; Mit Mod: 30.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 63.63%; Simulated DI1: 62.34% (-1.3)
Real DI20: 00.00%; Simulated DI20: 00.93% (0.9)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 81; Effective Mitigation: 81.0; Mit Mod: 35.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 64.39%; Simulated DI1: 64.27% (-0.1)
Real DI20: 00.00%; Simulated DI20: 00.78% (0.8)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 90; Effective Mitigation: 90.0; Mit Mod: 40.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 65.53%; Simulated DI1: 65.66% (0.1)
Real DI20: 00.00%; Simulated DI20: 00.72% (0.7)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 101; Effective Mitigation: 101.0; Mit Mod: 45.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 67.66%; Simulated DI1: 66.86% (-0.8)
Real DI20: 00.00%; Simulated DI20: 00.65% (0.7)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 125; Effective Mitigation: 125.0; Mit Mod: 57.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 68.44%; Simulated DI1: 68.89% (0.5)
Real DI20: 00.00%; Simulated DI20: 00.54% (0.5)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 150; Effective Mitigation: 150.0; Mit Mod: 70.0 Mult1: 16.5; Mult2: 15.7
Real DI1: 70.62%; Simulated DI1: 70.33% (-0.3)
Real DI20: 00.00%; Simulated DI20: 00.49% (0.5)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 201; Effective Mitigation: 201.0; Mit Mod: 95.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 71.90%; Simulated DI1: 72.24% (0.3)
Real DI20: 00.00%; Simulated DI20: 00.41% (0.4)
------------------------------------------------------------------
a fire beetle lvl 2 - Offense: 10; Mitigation: 299; Effective Mitigation: 299.0; Mit Mod: 144.5 Mult1: 16.5; Mult2: 15.7
Real DI1: 73.49%; Simulated DI1: 73.97% (0.5)
Real DI20: 00.00%; Simulated DI20: 00.36% (0.4)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 1; Effective Mitigation: 1.0; Mit Mod: -12.0 Mult1: 24.0; Mult2: 18.2
Real DI1: 00.00%; Simulated DI1: 01.00% (1.0)
Real DI20: 61.63%; Simulated DI20: 61.28% (-0.4)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 15; Effective Mitigation: 15.0; Mit Mod: -5.0 Mult1: 24.0; Mult2: 18.2
Real DI1: 05.75%; Simulated DI1: 05.85% (0.1)
Real DI20: 32.99%; Simulated DI20: 31.62% (-1.4)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 25; Effective Mitigation: 25.0; Mit Mod: 0.0 Mult1: 24.0; Mult2: 18.2
Real DI1: 13.69%; Simulated DI1: 15.35% (1.7)
Real DI20: 15.58%; Simulated DI20: 15.24% (-0.3)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 45; Effective Mitigation: 45.0; Mit Mod: 10.0 Mult1: 24.0; Mult2: 18.2
Real DI1: 31.62%; Simulated DI1: 33.23% (1.6)
Real DI20: 05.69%; Simulated DI20: 05.33% (-0.4)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 55; Effective Mitigation: 55.0; Mit Mod: 15.0 Mult1: 24.0; Mult2: 18.2
Real DI1: 38.63%; Simulated DI1: 40.12% (1.5)
Real DI20: 03.43%; Simulated DI20: 03.64% (0.2)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 90; Effective Mitigation: 90.0; Mit Mod: 32.5 Mult1: 24.0; Mult2: 18.2
Real DI1: 53.99%; Simulated DI1: 55.73% (1.7)
Real DI20: 00.22%; Simulated DI20: 01.43% (1.2)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 110; Effective Mitigation: 110.0; Mit Mod: 42.5 Mult1: 24.0; Mult2: 18.2
Real DI1: 57.49%; Simulated DI1: 60.92% (3.4)
Real DI20: 00.00%; Simulated DI20: 01.01% (1.0)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 125; Effective Mitigation: 125.0; Mit Mod: 50.0 Mult1: 24.0; Mult2: 18.2
Real DI1: 60.82%; Simulated DI1: 63.76% (2.9)
Real DI20: 00.00%; Simulated DI20: 00.84% (0.8)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 150; Effective Mitigation: 150.0; Mit Mod: 62.5 Mult1: 24.0; Mult2: 18.2
Real DI1: 63.16%; Simulated DI1: 67.50% (4.3)
Real DI20: 00.00%; Simulated DI20: 00.63% (0.6)
------------------------------------------------------------------
a lizardman forager lvl 5 - Offense: 25; Mitigation: 174; Effective Mitigation: 174.0; Mit Mod: 74.5 Mult1: 24.0; Mult2: 18.2
Real DI1: 65.05%; Simulated DI1: 69.94% (4.9)
Real DI20: 00.00%; Simulated DI20: 00.51% (0.5)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 1; Effective Mitigation: 1.0; Mit Mod: -30.0 Mult1: 27.1; Mult2: 18.9
Real DI1: 00.00%; Simulated DI1: 00.56% (0.6)
Real DI20: 71.10%; Simulated DI20: 68.80% (-2.3)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 8; Effective Mitigation: 8.0; Mit Mod: -26.5 Mult1: 27.1; Mult2: 18.9
Real DI1: 00.00%; Simulated DI1: 00.92% (0.9)
Real DI20: 64.02%; Simulated DI20: 62.34% (-1.7)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 21; Effective Mitigation: 21.0; Mit Mod: -20.0 Mult1: 27.1; Mult2: 18.9
Real DI1: 00.76%; Simulated DI1: 02.11% (1.3)
Real DI20: 49.54%; Simulated DI20: 49.48% (-0.1)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 28; Effective Mitigation: 28.0; Mit Mod: -16.5 Mult1: 26.1; Mult2: 18.9
Real DI1: 02.46%; Simulated DI1: 03.40% (0.9)
Real DI20: 41.37%; Simulated DI20: 41.28% (-0.1)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 34; Effective Mitigation: 34.0; Mit Mod: -13.5 Mult1: 26.1; Mult2: 18.9
Real DI1: 04.69%; Simulated DI1: 04.65% (-0.0)
Real DI20: 34.05%; Simulated DI20: 35.77% (1.7)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 41; Effective Mitigation: 41.0; Mit Mod: -10.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 07.01%; Simulated DI1: 06.81% (-0.2)
Real DI20: 28.37%; Simulated DI20: 29.04% (0.7)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 45; Effective Mitigation: 45.0; Mit Mod: -8.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 08.78%; Simulated DI1: 08.14% (-0.6)
Real DI20: 27.92%; Simulated DI20: 25.78% (-2.1)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 50; Effective Mitigation: 50.0; Mit Mod: -5.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 10.90%; Simulated DI1: 10.08% (-0.8)
Real DI20: 21.61%; Simulated DI20: 22.16% (0.6)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 56; Effective Mitigation: 56.0; Mit Mod: -2.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 12.76%; Simulated DI1: 12.75% (-0.0)
Real DI20: 18.27%; Simulated DI20: 18.26% (-0.0)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 57; Effective Mitigation: 57.0; Mit Mod: -2.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 13.21%; Simulated DI1: 13.18% (-0.0)
Real DI20: 18.45%; Simulated DI20: 17.60% (-0.8)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 58; Effective Mitigation: 58.0; Mit Mod: -1.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 13.93%; Simulated DI1: 13.71% (-0.2)
Real DI20: 16.86%; Simulated DI20: 17.00% (0.1)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 60; Effective Mitigation: 60.0; Mit Mod: -0.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 14.42%; Simulated DI1: 14.78% (0.4)
Real DI20: 16.35%; Simulated DI20: 15.84% (-0.5)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 61; Effective Mitigation: 61.0; Mit Mod: 0.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 15.17%; Simulated DI1: 15.31% (0.1)
Real DI20: 15.65%; Simulated DI20: 15.35% (-0.3)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 62; Effective Mitigation: 62.0; Mit Mod: 0.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 15.90%; Simulated DI1: 15.77% (-0.1)
Real DI20: 15.05%; Simulated DI20: 14.93% (-0.1)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 64; Effective Mitigation: 64.0; Mit Mod: 1.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 16.14%; Simulated DI1: 16.55% (0.4)
Real DI20: 14.55%; Simulated DI20: 14.19% (-0.4)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 65; Effective Mitigation: 65.0; Mit Mod: 2.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 16.57%; Simulated DI1: 17.03% (0.5)
Real DI20: 14.16%; Simulated DI20: 13.73% (-0.4)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 74; Effective Mitigation: 74.0; Mit Mod: 6.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 19.78%; Simulated DI1: 20.72% (0.9)
Real DI20: 10.62%; Simulated DI20: 10.85% (0.2)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 85; Effective Mitigation: 85.0; Mit Mod: 12.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 24.24%; Simulated DI1: 25.18% (0.9)
Real DI20: 08.57%; Simulated DI20: 08.44% (-0.1)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 95; Effective Mitigation: 95.0; Mit Mod: 17.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 29.09%; Simulated DI1: 28.93% (-0.2)
Real DI20: 08.10%; Simulated DI20: 06.76% (-1.3)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 104; Effective Mitigation: 104.0; Mit Mod: 21.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 32.86%; Simulated DI1: 32.20% (-0.7)
Real DI20: 05.14%; Simulated DI20: 05.67% (0.5)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 112; Effective Mitigation: 112.0; Mit Mod: 25.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 35.49%; Simulated DI1: 34.87% (-0.6)
Real DI20: 04.13%; Simulated DI20: 04.86% (0.7)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 125; Effective Mitigation: 125.0; Mit Mod: 32.0 Mult1: 25.1; Mult2: 18.9
Real DI1: 40.01%; Simulated DI1: 38.86% (-1.1)
Real DI20: 03.02%; Simulated DI20: 03.88% (0.9)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 138; Effective Mitigation: 138.0; Mit Mod: 38.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 44.26%; Simulated DI1: 42.44% (-1.8)
Real DI20: 02.04%; Simulated DI20: 03.13% (1.1)
------------------------------------------------------------------
Test Ten lvl 10 - Offense: 61; Mitigation: 156; Effective Mitigation: 156.0; Mit Mod: 47.5 Mult1: 25.1; Mult2: 18.9
Real DI1: 46.96%; Simulated DI1: 46.81% (-0.1)
Real DI20: 01.07%; Simulated DI20: 02.48% (1.4)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 4; Effective Mitigation: 4.0; Mit Mod: -75.5 Mult1: 27.5; Mult2: 19.6
Real DI1: 00.00%; Simulated DI1: 00.55% (0.5)
Real DI20: 73.60%; Simulated DI20: 69.12% (-4.5)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 45; Effective Mitigation: 45.0; Mit Mod: -55.0 Mult1: 27.5; Mult2: 19.6
Real DI1: 00.00%; Simulated DI1: 01.64% (1.6)
Real DI20: 54.40%; Simulated DI20: 53.51% (-0.9)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 59; Effective Mitigation: 59.0; Mit Mod: -48.0 Mult1: 26.5; Mult2: 19.6
Real DI1: 00.80%; Simulated DI1: 02.51% (1.7)
Real DI20: 48.30%; Simulated DI20: 46.49% (-1.8)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 99; Effective Mitigation: 99.0; Mit Mod: -28.0 Mult1: 26.5; Mult2: 19.6
Real DI1: 06.30%; Simulated DI1: 05.85% (-0.4)
Real DI20: 30.30%; Simulated DI20: 31.63% (1.3)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 129; Effective Mitigation: 129.0; Mit Mod: -13.0 Mult1: 25.5; Mult2: 19.6
Real DI1: 10.60%; Simulated DI1: 10.31% (-0.3)
Real DI20: 20.70%; Simulated DI20: 21.78% (1.1)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 157; Effective Mitigation: 157.0; Mit Mod: 1.0 Mult1: 25.5; Mult2: 19.6
Real DI1: 15.70%; Simulated DI1: 15.64% (-0.1)
Real DI20: 15.30%; Simulated DI20: 15.03% (-0.3)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 177; Effective Mitigation: 177.0; Mit Mod: 11.0 Mult1: 25.5; Mult2: 19.6
Real DI1: 18.70%; Simulated DI1: 19.15% (0.5)
Real DI20: 11.90%; Simulated DI20: 12.09% (0.2)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 178; Effective Mitigation: 178.0; Mit Mod: 11.5 Mult1: 25.5; Mult2: 19.6
Real DI1: 18.80%; Simulated DI1: 19.24% (0.4)
Real DI20: 12.10%; Simulated DI20: 11.99% (-0.1)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 178; Effective Mitigation: 178.0; Mit Mod: 11.5 Mult1: 25.5; Mult2: 19.6
Real DI1: 19.10%; Simulated DI1: 19.29% (0.2)
Real DI20: 11.30%; Simulated DI20: 11.98% (0.7)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 230; Effective Mitigation: 230.0; Mit Mod: 37.5 Mult1: 25.5; Mult2: 19.6
Real DI1: 28.30%; Simulated DI1: 27.83% (-0.5)
Real DI20: 06.40%; Simulated DI20: 07.26% (0.9)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 288; Effective Mitigation: 288.0; Mit Mod: 66.5 Mult1: 25.5; Mult2: 19.6
Real DI1: 37.10%; Simulated DI1: 36.23% (-0.9)
Real DI20: 03.80%; Simulated DI20: 04.56% (0.8)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 348; Effective Mitigation: 348.0; Mit Mod: 96.5 Mult1: 25.5; Mult2: 19.6
Real DI1: 43.90%; Simulated DI1: 43.37% (-0.5)
Real DI20: 01.70%; Simulated DI20: 03.02% (1.3)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 362; Effective Mitigation: 362.0; Mit Mod: 103.5 Mult1: 25.5; Mult2: 19.6
Real DI1: 45.90%; Simulated DI1: 44.73% (-1.2)
Real DI20: 01.50%; Simulated DI20: 02.78% (1.3)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 418; Effective Mitigation: 418.0; Mit Mod: 131.5 Mult1: 25.5; Mult2: 19.6
Real DI1: 48.60%; Simulated DI1: 50.00% (1.4)
Real DI20: 00.70%; Simulated DI20: 02.06% (1.4)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 429; Effective Mitigation: 429.0; Mit Mod: 137.0 Mult1: 25.5; Mult2: 19.6
Real DI1: 49.90%; Simulated DI1: 50.92% (1.0)
Real DI20: 00.50%; Simulated DI20: 01.96% (1.5)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 498; Effective Mitigation: 453.8; Mit Mod: 149.4 Mult1: 25.5; Mult2: 19.6
Real DI1: 50.90%; Simulated DI1: 52.77% (1.9)
Real DI20: 00.40%; Simulated DI20: 01.71% (1.3)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 602; Effective Mitigation: 490.2; Mit Mod: 167.6 Mult1: 25.5; Mult2: 19.6
Real DI1: 54.80%; Simulated DI1: 55.46% (0.7)
Real DI20: 00.10%; Simulated DI20: 01.47% (1.4)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 663; Effective Mitigation: 511.5; Mit Mod: 178.3 Mult1: 25.5; Mult2: 19.6
Real DI1: 53.10%; Simulated DI1: 56.65% (3.6)
Real DI20: 00.00%; Simulated DI20: 01.36% (1.4)
------------------------------------------------------------------
Test Twenty Five lvl 25 - Offense: 155; Mitigation: 1100; Effective Mitigation: 664.5; Mit Mod: 254.8 Mult1: 25.5; Mult2: 19.6
Real DI1: 59.80%; Simulated DI1: 64.09% (4.3)
Real DI20: 00.00%; Simulated DI20: 00.80% (0.8)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 4; Effective Mitigation: 4.0; Mit Mod: -158.0 Mult1: 28.4; Mult2: 20.8
Real DI1: 00.00%; Simulated DI1: 00.45% (0.4)
Real DI20: 74.60%; Simulated DI20: 71.46% (-3.1)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 79; Effective Mitigation: 79.0; Mit Mod: -120.5 Mult1: 28.4; Mult2: 20.8
Real DI1: 00.00%; Simulated DI1: 01.27% (1.3)
Real DI20: 59.80%; Simulated DI20: 57.55% (-2.3)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 82; Effective Mitigation: 82.0; Mit Mod: -119.0 Mult1: 28.4; Mult2: 20.8
Real DI1: 00.00%; Simulated DI1: 01.32% (1.3)
Real DI20: 57.80%; Simulated DI20: 56.95% (-0.8)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 116; Effective Mitigation: 116.0; Mit Mod: -102.0 Mult1: 27.4; Mult2: 20.8
Real DI1: 00.60%; Simulated DI1: 02.21% (1.6)
Real DI20: 49.10%; Simulated DI20: 48.76% (-0.3)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 152; Effective Mitigation: 152.0; Mit Mod: -84.0 Mult1: 27.4; Mult2: 20.8
Real DI1: 02.20%; Simulated DI1: 03.29% (1.1)
Real DI20: 41.80%; Simulated DI20: 41.81% (0.0)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 191; Effective Mitigation: 191.0; Mit Mod: -64.5 Mult1: 27.4; Mult2: 20.8
Real DI1: 04.80%; Simulated DI1: 04.95% (0.2)
Real DI20: 34.50%; Simulated DI20: 34.55% (0.0)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 202; Effective Mitigation: 202.0; Mit Mod: -59.0 Mult1: 27.4; Mult2: 20.8
Real DI1: 05.63%; Simulated DI1: 05.54% (-0.1)
Real DI20: 29.93%; Simulated DI20: 32.62% (2.7)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 212; Effective Mitigation: 212.0; Mit Mod: -54.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 06.10%; Simulated DI1: 06.34% (0.2)
Real DI20: 29.10%; Simulated DI20: 30.25% (1.1)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 212; Effective Mitigation: 212.0; Mit Mod: -54.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 06.20%; Simulated DI1: 06.33% (0.1)
Real DI20: 29.90%; Simulated DI20: 30.26% (0.4)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 215; Effective Mitigation: 215.0; Mit Mod: -52.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 06.50%; Simulated DI1: 06.45% (-0.1)
Real DI20: 28.30%; Simulated DI20: 29.82% (1.5)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 245; Effective Mitigation: 245.0; Mit Mod: -37.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 09.40%; Simulated DI1: 08.46% (-0.9)
Real DI20: 24.70%; Simulated DI20: 25.11% (0.4)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 254; Effective Mitigation: 254.0; Mit Mod: -33.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 08.80%; Simulated DI1: 09.19% (0.4)
Real DI20: 21.70%; Simulated DI20: 23.70% (2.0)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 296; Effective Mitigation: 296.0; Mit Mod: -12.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 12.70%; Simulated DI1: 12.80% (0.1)
Real DI20: 17.40%; Simulated DI20: 18.11% (0.7)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 307; Effective Mitigation: 307.0; Mit Mod: -6.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 14.60%; Simulated DI1: 13.99% (-0.6)
Real DI20: 16.60%; Simulated DI20: 16.87% (0.3)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 311; Effective Mitigation: 311.0; Mit Mod: -4.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 14.90%; Simulated DI1: 14.41% (-0.5)
Real DI20: 16.60%; Simulated DI20: 16.28% (-0.3)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 315; Effective Mitigation: 315.0; Mit Mod: -2.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 15.01%; Simulated DI1: 14.79% (-0.2)
Real DI20: 15.71%; Simulated DI20: 15.87% (0.2)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 315; Effective Mitigation: 315.0; Mit Mod: -2.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 14.74%; Simulated DI1: 14.80% (0.1)
Real DI20: 15.24%; Simulated DI20: 15.92% (0.7)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 318; Effective Mitigation: 318.0; Mit Mod: -1.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 14.90%; Simulated DI1: 15.08% (0.2)
Real DI20: 15.90%; Simulated DI20: 15.56% (-0.3)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 320; Effective Mitigation: 320.0; Mit Mod: 0.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 14.74%; Simulated DI1: 15.34% (0.6)
Real DI20: 15.03%; Simulated DI20: 15.32% (0.3)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 345; Effective Mitigation: 345.0; Mit Mod: 12.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 17.50%; Simulated DI1: 17.56% (0.1)
Real DI20: 13.10%; Simulated DI20: 13.34% (0.2)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 354; Effective Mitigation: 354.0; Mit Mod: 17.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 17.80%; Simulated DI1: 18.31% (0.5)
Real DI20: 12.20%; Simulated DI20: 12.73% (0.5)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 362; Effective Mitigation: 362.0; Mit Mod: 21.0 Mult1: 26.4; Mult2: 20.8
Real DI1: 18.80%; Simulated DI1: 19.03% (0.2)
Real DI20: 11.80%; Simulated DI20: 12.19% (0.4)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 403; Effective Mitigation: 403.0; Mit Mod: 41.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 23.20%; Simulated DI1: 22.67% (-0.5)
Real DI20: 09.10%; Simulated DI20: 09.74% (0.6)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 413; Effective Mitigation: 413.0; Mit Mod: 46.5 Mult1: 26.4; Mult2: 20.8
Real DI1: 22.20%; Simulated DI1: 23.47% (1.3)
Real DI20: 09.70%; Simulated DI20: 09.31% (-0.4)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 445; Effective Mitigation: 435.3; Mit Mod: 57.6 Mult1: 26.4; Mult2: 20.8
Real DI1: 26.20%; Simulated DI1: 25.41% (-0.8)
Real DI20: 07.60%; Simulated DI20: 08.39% (0.8)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 480; Effective Mitigation: 447.5; Mit Mod: 63.8 Mult1: 26.4; Mult2: 20.8
Real DI1: 23.60%; Simulated DI1: 26.46% (2.9)
Real DI20: 08.40%; Simulated DI20: 07.86% (-0.5)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 499; Effective Mitigation: 454.1; Mit Mod: 67.1 Mult1: 26.4; Mult2: 20.8
Real DI1: 26.70%; Simulated DI1: 26.89% (0.2)
Real DI20: 07.10%; Simulated DI20: 07.61% (0.5)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 528; Effective Mitigation: 464.3; Mit Mod: 72.2 Mult1: 26.4; Mult2: 20.8
Real DI1: 27.70%; Simulated DI1: 27.72% (0.0)
Real DI20: 07.04%; Simulated DI20: 07.30% (0.3)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 565; Effective Mitigation: 477.3; Mit Mod: 78.6 Mult1: 26.4; Mult2: 20.8
Real DI1: 27.60%; Simulated DI1: 28.91% (1.3)
Real DI20: 06.80%; Simulated DI20: 06.80% (0.0)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 602; Effective Mitigation: 490.2; Mit Mod: 85.1 Mult1: 26.4; Mult2: 20.8
Real DI1: 31.11%; Simulated DI1: 29.95% (-1.2)
Real DI20: 06.02%; Simulated DI20: 06.45% (0.4)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 602; Effective Mitigation: 490.2; Mit Mod: 85.1 Mult1: 26.4; Mult2: 20.8
Real DI1: 28.90%; Simulated DI1: 29.86% (1.0)
Real DI20: 05.78%; Simulated DI20: 06.44% (0.7)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 649; Effective Mitigation: 506.6; Mit Mod: 93.3 Mult1: 26.4; Mult2: 20.8
Real DI1: 32.00%; Simulated DI1: 31.22% (-0.8)
Real DI20: 06.00%; Simulated DI20: 06.00% (-0.0)
------------------------------------------------------------------
Ssolet Dnaas lvl 50 - Offense: 320; Mitigation: 1137; Effective Mitigation: 677.5; Mit Mod: 178.7 Mult1: 26.4; Mult2: 20.8
Real DI1: 43.90%; Simulated DI1: 42.97% (-0.9)
Real DI20: 02.30%; Simulated DI20: 03.11% (0.8)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 83; Effective Mitigation: 83.0; Mit Mod: -128.5 Mult1: 28.4; Mult2: 20.9
Real DI1: 00.00%; Simulated DI1: 01.25% (1.3)
Real DI20: 58.90%; Simulated DI20: 57.86% (-1.0)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 178; Effective Mitigation: 178.0; Mit Mod: -81.0 Mult1: 27.4; Mult2: 20.9
Real DI1: 02.90%; Simulated DI1: 03.91% (1.0)
Real DI20: 39.30%; Simulated DI20: 39.03% (-0.3)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 288; Effective Mitigation: 288.0; Mit Mod: -26.0 Mult1: 26.4; Mult2: 20.9
Real DI1: 11.00%; Simulated DI1: 10.58% (-0.4)
Real DI20: 20.10%; Simulated DI20: 21.38% (1.3)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 288; Effective Mitigation: 288.0; Mit Mod: -26.0 Mult1: 26.4; Mult2: 20.9
Real DI1: 11.00%; Simulated DI1: 10.49% (-0.5)
Real DI20: 19.60%; Simulated DI20: 21.39% (1.8)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 300; Effective Mitigation: 300.0; Mit Mod: -20.0 Mult1: 26.4; Mult2: 20.9
Real DI1: 12.00%; Simulated DI1: 11.50% (-0.5)
Real DI20: 18.50%; Simulated DI20: 19.94% (1.4)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 335; Effective Mitigation: 335.0; Mit Mod: -2.5 Mult1: 26.4; Mult2: 20.9
Real DI1: 14.91%; Simulated DI1: 14.82% (-0.1)
Real DI20: 15.98%; Simulated DI20: 15.85% (-0.1)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 340; Effective Mitigation: 340.0; Mit Mod: 0.0 Mult1: 26.4; Mult2: 20.9
Real DI1: 15.20%; Simulated DI1: 15.31% (0.1)
Real DI20: 15.29%; Simulated DI20: 15.29% (0.0)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 349; Effective Mitigation: 349.0; Mit Mod: 4.5 Mult1: 26.4; Mult2: 20.9
Real DI1: 16.20%; Simulated DI1: 16.05% (-0.2)
Real DI20: 14.40%; Simulated DI20: 14.59% (0.2)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 364; Effective Mitigation: 364.0; Mit Mod: 12.0 Mult1: 26.4; Mult2: 20.9
Real DI1: 16.98%; Simulated DI1: 17.37% (0.4)
Real DI20: 13.33%; Simulated DI20: 13.45% (0.1)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 422; Effective Mitigation: 422.0; Mit Mod: 41.0 Mult1: 26.4; Mult2: 20.9
Real DI1: 22.30%; Simulated DI1: 22.17% (-0.1)
Real DI20: 09.70%; Simulated DI20: 10.05% (0.3)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 426; Effective Mitigation: 426.0; Mit Mod: 43.0 Mult1: 26.4; Mult2: 20.9
Real DI1: 22.10%; Simulated DI1: 22.42% (0.3)
Real DI20: 10.40%; Simulated DI20: 09.91% (-0.5)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 584; Effective Mitigation: 483.9; Mit Mod: 71.9 Mult1: 26.4; Mult2: 20.9
Real DI1: 26.20%; Simulated DI1: 27.16% (1.0)
Real DI20: 07.80%; Simulated DI20: 07.52% (-0.3)
------------------------------------------------------------------
Test Fifty lvl 50 - Offense: 340; Mitigation: 1148; Effective Mitigation: 681.3; Mit Mod: 170.6 Mult1: 26.4; Mult2: 20.9
Real DI1: 41.90%; Simulated DI1: 41.00% (-0.9)
Real DI20: 02.30%; Simulated DI20: 03.48% (1.2)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 1170; Effective Mitigation: 689.0; Mit Mod: 147.0 Mult1: 26.7; Mult2: 21.3
Real DI1: 36.10%; Simulated DI1: 35.73% (-0.4)
Real DI20: 03.90%; Simulated DI20: 04.64% (0.7)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 629; Effective Mitigation: 499.6; Mit Mod: 52.3 Mult1: 26.7; Mult2: 21.3
Real DI1: 22.14%; Simulated DI1: 23.01% (0.9)
Real DI20: 09.59%; Simulated DI20: 09.53% (-0.1)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 731; Effective Mitigation: 535.4; Mit Mod: 70.2 Mult1: 26.7; Mult2: 21.3
Real DI1: 24.93%; Simulated DI1: 25.57% (0.6)
Real DI20: 08.11%; Simulated DI20: 08.26% (0.1)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 99; Effective Mitigation: 99.0; Mit Mod: -148.0 Mult1: 28.7; Mult2: 21.3
Real DI1: 00.00%; Simulated DI1: 01.24% (1.2)
Real DI20: 58.23%; Simulated DI20: 57.92% (-0.3)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 541; Effective Mitigation: 468.9; Mit Mod: 36.9 Mult1: 26.7; Mult2: 21.3
Real DI1: 20.19%; Simulated DI1: 20.67% (0.5)
Real DI20: 10.53%; Simulated DI20: 11.00% (0.5)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 139; Effective Mitigation: 139.0; Mit Mod: -128.0 Mult1: 27.7; Mult2: 21.3
Real DI1: 00.34%; Simulated DI1: 02.05% (1.7)
Real DI20: 51.47%; Simulated DI20: 49.87% (-1.6)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 499; Effective Mitigation: 454.1; Mit Mod: 29.6 Mult1: 26.7; Mult2: 21.3
Real DI1: 19.24%; Simulated DI1: 19.64% (0.4)
Real DI20: 11.86%; Simulated DI20: 11.58% (-0.3)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 195; Effective Mitigation: 195.0; Mit Mod: -100.0 Mult1: 27.7; Mult2: 21.3
Real DI1: 02.64%; Simulated DI1: 03.45% (0.8)
Real DI20: 41.86%; Simulated DI20: 41.01% (-0.9)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 253; Effective Mitigation: 253.0; Mit Mod: -71.0 Mult1: 27.7; Mult2: 21.3
Real DI1: 05.77%; Simulated DI1: 05.61% (-0.2)
Real DI20: 31.08%; Simulated DI20: 32.39% (1.3)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 443; Effective Mitigation: 434.5; Mit Mod: 19.8 Mult1: 26.7; Mult2: 21.3
Real DI1: 17.34%; Simulated DI1: 18.19% (0.8)
Real DI20: 13.09%; Simulated DI20: 12.74% (-0.3)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 293; Effective Mitigation: 293.0; Mit Mod: -51.0 Mult1: 26.7; Mult2: 21.3
Real DI1: 08.38%; Simulated DI1: 07.87% (-0.5)
Real DI20: 25.35%; Simulated DI20: 26.43% (1.1)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 405; Effective Mitigation: 405.0; Mit Mod: 5.0 Mult1: 26.7; Mult2: 21.3
Real DI1: 15.66%; Simulated DI1: 16.05% (0.4)
Real DI20: 14.72%; Simulated DI20: 14.63% (-0.1)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 347; Effective Mitigation: 347.0; Mit Mod: -24.0 Mult1: 26.7; Mult2: 21.3
Real DI1: 11.99%; Simulated DI1: 11.34% (-0.6)
Real DI20: 19.03%; Simulated DI20: 20.13% (1.1)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 400; Effective Mitigation: 400.0; Mit Mod: 2.5 Mult1: 26.7; Mult2: 21.3
Real DI1: 15.01%; Simulated DI1: 15.71% (0.7)
Real DI20: 14.71%; Simulated DI20: 15.00% (0.3)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 152; Effective Mitigation: 152.0; Mit Mod: -121.5 Mult1: 27.7; Mult2: 21.3
Real DI1: 00.66%; Simulated DI1: 02.29% (1.6)
Real DI20: 48.61%; Simulated DI20: 47.81% (-0.8)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 395; Effective Mitigation: 395.0; Mit Mod: 0.0 Mult1: 26.7; Mult2: 21.3
Real DI1: 15.22%; Simulated DI1: 15.35% (0.1)
Real DI20: 15.41%; Simulated DI20: 15.37% (-0.0)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 983; Effective Mitigation: 623.5; Mit Mod: 114.3 Mult1: 26.7; Mult2: 21.3
Real DI1: 32.00%; Simulated DI1: 31.54% (-0.5)
Real DI20: 05.60%; Simulated DI20: 05.85% (0.2)
------------------------------------------------------------------
Test Sixty lvl 60 - Offense: 395; Mitigation: 872; Effective Mitigation: 584.7; Mit Mod: 94.9 Mult1: 26.7; Mult2: 21.3
Real DI1: 28.51%; Simulated DI1: 29.01% (0.5)
Real DI20: 06.75%; Simulated DI20: 06.82% (0.1)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 99; Effective Mitigation: 99.0; Mit Mod: -165.5 Mult1: 28.9; Mult2: 21.6
Real DI1: 00.00%; Simulated DI1: 01.11% (1.1)
Real DI20: 60.13%; Simulated DI20: 59.64% (-0.5)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 233; Effective Mitigation: 233.0; Mit Mod: -98.5 Mult1: 27.9; Mult2: 21.6
Real DI1: 03.45%; Simulated DI1: 04.03% (0.6)
Real DI20: 38.16%; Simulated DI20: 38.30% (0.1)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 266; Effective Mitigation: 266.0; Mit Mod: -82.0 Mult1: 27.9; Mult2: 21.6
Real DI1: 05.21%; Simulated DI1: 05.16% (-0.0)
Real DI20: 32.76%; Simulated DI20: 33.71% (1.0)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 307; Effective Mitigation: 307.0; Mit Mod: -61.5 Mult1: 26.9; Mult2: 21.6
Real DI1: 07.49%; Simulated DI1: 07.24% (-0.2)
Real DI20: 26.57%; Simulated DI20: 27.88% (1.3)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 350; Effective Mitigation: 350.0; Mit Mod: -40.0 Mult1: 26.9; Mult2: 21.6
Real DI1: 10.12%; Simulated DI1: 09.55% (-0.6)
Real DI20: 21.60%; Simulated DI20: 23.09% (1.5)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 401; Effective Mitigation: 401.0; Mit Mod: -14.5 Mult1: 26.9; Mult2: 21.6
Real DI1: 13.27%; Simulated DI1: 12.96% (-0.3)
Real DI20: 17.35%; Simulated DI20: 17.94% (0.6)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 425; Effective Mitigation: 425.0; Mit Mod: -2.5 Mult1: 26.9; Mult2: 21.6
Real DI1: 14.63%; Simulated DI1: 14.92% (0.3)
Real DI20: 15.43%; Simulated DI20: 15.76% (0.3)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 430; Effective Mitigation: 430.0; Mit Mod: 0.0 Mult1: 26.9; Mult2: 21.6
Real DI1: 14.94%; Simulated DI1: 15.37% (0.4)
Real DI20: 15.30%; Simulated DI20: 15.30% (-0.0)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 450; Effective Mitigation: 437.0; Mit Mod: 3.5 Mult1: 26.9; Mult2: 21.6
Real DI1: 16.29%; Simulated DI1: 15.84% (-0.5)
Real DI20: 14.50%; Simulated DI20: 14.82% (0.3)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 475; Effective Mitigation: 445.8; Mit Mod: 7.9 Mult1: 26.9; Mult2: 21.6
Real DI1: 16.46%; Simulated DI1: 16.34% (-0.1)
Real DI20: 13.93%; Simulated DI20: 14.32% (0.4)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 500; Effective Mitigation: 454.5; Mit Mod: 12.3 Mult1: 26.9; Mult2: 21.6
Real DI1: 17.06%; Simulated DI1: 16.98% (-0.1)
Real DI20: 13.29%; Simulated DI20: 13.80% (0.5)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 596; Effective Mitigation: 488.1; Mit Mod: 29.1 Mult1: 26.9; Mult2: 21.6
Real DI1: 19.21%; Simulated DI1: 19.26% (0.1)
Real DI20: 11.69%; Simulated DI20: 11.90% (0.2)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 700; Effective Mitigation: 524.5; Mit Mod: 47.3 Mult1: 26.9; Mult2: 21.6
Real DI1: 21.53%; Simulated DI1: 21.66% (0.1)
Real DI20: 10.33%; Simulated DI20: 10.28% (-0.0)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 798; Effective Mitigation: 558.8; Mit Mod: 64.4 Mult1: 26.9; Mult2: 21.6
Real DI1: 23.80%; Simulated DI1: 24.12% (0.3)
Real DI20: 08.79%; Simulated DI20: 08.97% (0.2)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 905; Effective Mitigation: 596.3; Mit Mod: 83.1 Mult1: 26.9; Mult2: 21.6
Real DI1: 26.11%; Simulated DI1: 26.48% (0.4)
Real DI20: 07.76%; Simulated DI20: 07.78% (0.0)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 1001; Effective Mitigation: 629.8; Mit Mod: 99.9 Mult1: 26.9; Mult2: 21.6
Real DI1: 28.48%; Simulated DI1: 28.69% (0.2)
Real DI20: 06.68%; Simulated DI20: 06.87% (0.2)
------------------------------------------------------------------
Test Seventy lvl 70 - Offense: 430; Mitigation: 1190; Effective Mitigation: 696.0; Mit Mod: 133.0 Mult1: 26.9; Mult2: 21.6
Real DI1: 32.70%; Simulated DI1: 32.88% (0.2)
Real DI20: 05.10%; Simulated DI20: 05.45% (0.3)
------------------------------------------------------------------
Estimating NPC Mitigation from Combat Simulations
Having a precise model of PC damage and a reasonably accurate d20 algorithm gives us another means to estimate NPC mitigation. One need merely plug in your PC's stats and run repeated simulations adjusting the mitigation value until the results match the log. This is particularly fortunate since the 115 offense threshold makes parsing mitigation difficult to impossible for higher level NPCs.
I parsed a couple of raid bosses using this technique. Luclin raid bosses were known for their high AC values, and I wanted to see what they were, so I parsed Xerkizh The Creator and Va Dyn Khar. While every common NPC above level 51 parsed near or at 200 mitigation, these raid bosses ended up at ~850 and ~950 mitigation respectively. The margin of error using this technique is a bit high, of course. A more accurate bell curve algorithm would improve the accuracy.