Treachery Vs Fortitude - The Complete Calculation - Topic

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Apr 27 2011 03:31am

Table of Contents
1. Act 2 Mercenary Basics
2. Breaking Down Fortitude & Treachery
2. Setups Analysis
3. Survivability Factor
4. DPS Factor
5. FAQ

Act 2 Mercenary Basics

Refer to: Extensive Mercenary Builds Guide under Merc Information

Act 2 mercenary offensive nightmare (Might) stats @ level 90
Life: 1967
Strength: 195
Dexterity: 157
Defense: 771
Attack Rating: 1338
Resists in Hell: 54%
Damage: 61-68
Skill 1: SLevel 23 Jab
Skill 2: SLevel 18 Might aura

Act 2 mercenary offensive nightmare (Might) stats @ level 98
Life: 2287
Strength: 209
Dexterity: 169
Defense: 846
Attack Rating: 1482
Resists in Hell: 62%
Damage: 69-76
Skill 1: SLevel 23 Jab
Skill 2: SLevel 20 Might aura

Breaking Down Treachery & Fortitude

Fortitude In Ethereal Bugged Archon Plate
20% Chance To Cast Level 15 Chilling Armor when Struck
+25% Faster Cast Rate
+300% Enhanced Damage
+200% Enhanced Defense
+15 Defense
+1-1.5 To Life (Based on Character Level)
Replenish Life +7
+5% To Maximum Lightning Resist
All Resistances +25-30
Damage Reduced By 7
12% Damage Taken Goes To Mana
+1 To Light Radius

Defense: 786 base maximum ethereal *1.5 bugged defense - 1179 +200% ed - 3537 +15 defense (El rune) = 3552.
+Life per level does not work on mercenaries.
+30@ resistances, at best.
+7 integer DR.

Treachery In Ethereal Bugged Archon Plate
5% Chance To Cast Level 15 Fade When Struck
25% Chance To Cast level 15 Venom On Striking
+2 To Assassin Skills
+45% Increased Attack Speed
+20% Faster Hit Recovery
Cold Resist +30%
50% Extra Gold From Monsters

Defense: 786 base maximum ethereal *1.5 bugged defense - 1179
SLevel 15 Fade- +60@ all resistances, -79% curse duration, +15% DR.

Setups Analysis

Mercenaries calculated will be level 98.
Will be discussing the 3 general setups most commonly used throughout the characters:

Setup #1: Andariel's Visage 15%IAS/30%FR jewel, Insight Ethereal Giant Thresher (Support Mercenary).

Fortitude

Survivability Factor
Life after SLevel 20 BO: +92% -->

4391
Life Steal: 10%. Based on DPS factor:
2169.8 life stolen
3553.8 life stolen
Under Decrepify/HF: 1023.596 life stolen
Under Decrepify/HF: 1367.994 life stolen
Resistances: 44% base + 70% PR + 30@ = 74@, 85%PR.
Under Conviction SLevel 12 (-85%): -11@, 59% PR.
FHR: 0% (15 Frames = 0.6s recovery animation)
DR%: 0%
Defense: 846 + 3552 + 577 + 115% (SLevel 15 CA) = 10969.
SLevel 85 mob CtH melee / ranged physical applied attacks: 2 * 85 / (85 + 98) * AR / (AR + Defense) [Will be calculating for most common AR ratings):
5,000 AR: 2 * 85 / (85 + 98) * 5000 / (5000 + 10969) = 29.08%
6,500 AR: 2 * 85 / (85 + 98) * 6500 / (6500 + 10969) = 34.56%
8,000 AR: 2 * 85 / (85 + 98) * 8000 / (8000 + 10969) = 39.17%
-Irrelevant to magic / elemental type attacks.

Damage Dealt by Monster
Affect by players in game as such:

Quote

What is the actual bonus?
On Nightmare and Hell, monsters get a damage & AR bonus is 6.25% per extra player above 1.

For example, to determine a monsters damage, you would take their monstats.txt value, and multiply it by their monlvl.txt bonus, then divide the result by 100:

Monster Min Damage = (Monstats.Min * Monlvl.Damage) / 100
Monster Max Damage = (Monstats.Max * Monlvl.Damage) / 100

To include the extra player bonus, you could simply modify the above equation to be:

Monster Min Damage = ((Monstats.Min * Monlvl.Damage)/100) * (1 + ((PlayerCount - 1) * 0.0625))
Monster Min Damage = ((Monstats.Max * Monlvl.Damage)/100) * (1 + ((PlayerCount - 1) * 0.0625))

So effectively, the increase in damage is:

players 1 = 00.00%
players 2 = 06.25%
players 3 = 12.50%
players 4 = 18.75%
players 5 = 25.00%
players 6 = 31.25%
players 7 = 37.50%
players 8 = 43.75%

When is this damage bonus applied?
It's applied on monster spawn. It appears to only be applied to monster attacks listed in monstats, and does not transfer to monster skills. Both Ranged attacks and Melee attacks receive the same bonus. This bonus in damage is identical on Nightmare and Hell.

Note too that this bonus is seperate to other damage bonuses such as those provided by champion

So, for example, if we're talking about a champion monster, we're effectively looking at:

MonsterMinDamage * ChampionBonus * PlayerBonus
MonsterMaxDamage * ChampionBonus * PlayerBonus

Finally, this damage is calculated before the 5% critical bonus that the monsters have.

What actually gets amplified by this damage bonus?
Monster skills do not get increased by this bonus. So, Meph on NM and Hell would get this bonus to his melee attacks, but not his meph missile, lightning, poison nova, frost nova, etc. Likewise, a fallen shaman would not get this bonus to his shaman fireball.

That said, the bonus is applied to the tainted's lightning orb, and lightning damage applied to his melee attack. This is what leads me to believe that the damage is applied to damage sourced from monstat, but not from missiles.txt (which is where the shaman and meph get their elemental missile damages).

I'm going to go out on a limb and say that whatever is increased by the monlvl bonus is probably also increased by the player bonus. That is to say, the shaman fireball for example isn't affected by the monlvl bonus as it's damage is directly calculated from the missiles.txt. Therefore, the shaman fireball is not affected by the player bonus.

Does this also apply to Classic Diablo?
No, Classic Diablo monsters do not gain this bonus.

Exemplary Damage:
Venom Lord
Fire: 96-153*5(Frames)= 480-765 (622.5 Avg.)
Infector of Souls
Fire: 100-160*5(Frames)= 500-800 (650 Avg.)

Common Scenario: Seal #5 opening Infector of Souls + 10 Venom Lords= 622.5*10 + 650 = 6875 *0.25 (75% FR setup): 1718.75 FD. FHR animation 0.6*cumulative strikes.
Common Scenario (Under conviction): Seal #5 opening Infector of Souls + 10 Venom Lords= 622.5*10 + 650 = 6875 *0.93 (7% FR): 6393.75 FD. Mercenary is dead.
*Added CS probability to be under Decrepify in the process- Mercenary is dead @ Scenario 1 as well.

Death Lord
Physical: 76-115
Monster Min Damage = ((76 * 85)/100) * (1 + ((8 - 1) * 0.0625)) = 92.8
Monster Min Damage = ((115*85)/100) * (1 + ((8 - 1) * 0.0625)) = 140.5 (92-140 = 116 Avg.)
Super Unique Death Lord
Physical: 139-231
Monster Min Damage = ((139 * 85)/100) * (1 + ((8 - 1) * 0.0625)) = 169.8
Monster Min Damage = ((231*85)/100) * (1 + ((8 - 1) * 0.0625)) = 282.2 (169-282 = 225.5 Avg.)

Common Scenario: World Stone Keep Level 2, Super unique mob + 8 mobs= 225.5 + 116*8 = 1153.5. FHR animation 0.6*cumulative strikes.
*Added Throne probability to be under Decrepify in the process- Mercenary is dead.

DPS Factor
Strength: 209 + 5 (+5 Att.) + 30 (Andariel's V.) = 244
Aura: Might SLevel 20+2 = 250% ED.
IAS: 35% cumulative.
FPA: 5.5 (3.84 Atk/s)
DS% / CS%: 46% (+6 Crit.)
CB%: 0%.
Special section: Hammerdin Concentration Aura SLevel 35 (PvM average- Calculations in regard will be coloured in blue from here on):+570% ED.
Damage: 2011-5730 (3870 Avg.)
Damage+CS%: 4022-11460 (7741 Avg.)
Damage: 3294-9384 (6339 Avg.)
Damage+CS%: 6588-18768 (12678 Avg.)
Total damage per 1 second: [(3870*54)+(7741*46)]/100 = 5650.66*3.84 = 21698.5344
Total damage per 1 second: [(6339*54)+(12678*46)]/100 = 9254.94*3.84 = 35538.9696

Environmental Speed Altering Variables:
-Decrepify (50% Slow) -->

Jab FPA: 8.5 (2.63 Atk/s) = 5650.66*2.63 = 14861.2358
-Decrepify (50% Slow) -->

Jab FPA: 8.5 (2.63 Atk/s) = 9254.94*2.63 = 24340.4922

Decrepify length (3.4+(0.6*slvl)) @SLevel 12: 10.6 seconds. DPS output over 1 minute under:
1 full duration cast: [(14861.2358*10.6)+(21698.5344*49.4)]= 1229436.6/60 = 20,490.61
2 full duration casts: [(14861.2358*21.2)+(21698.5344*38.8)]= 1156961.333/60 = 19,282.68
3 full duration casts: [(14861.2358*31.8)+(21698.5344*28.2)]= 1084485.968/60 = 18,074.76
4 full duration casts: [(14861.2358*42.4)+(21698.5344*17.6)]= 1012010.603/60 = 16,866.84

1 full duration cast: [(24340.4922*10.6)+(35538.9696*49.4)]= 2013634.315/60 = 33,560.57
2 full duration casts: [(24340.4922*21.2)+(35538.9696*38.8)]= 1894930.455/60 = 31,582.17
3 full duration casts: [(24340.4922*31.8)+(35538.9696*28.2)]= 1776226.594/60 = 29,603.77
4 full duration casts: [(24340.4922*42.4)+(35538.9696*17.6)]= 1657522.734/60 = 27,625.37

Any consecutive casts beyond these are either extremely rare or just not occurring. From experience, the highest number of these casts during 1 CS run was 4 in a minute's time. Feel free to calculate more using the same formula.

-Holy Freeze (SLevel% Slow) Unique monster supplies level max([mlvl/7],1) Holy Freeze -->

Jab FPA under SLevels 12 & 13 HF: Jab FPA 8.5 (See above calcs, same as Decrepify).

Treachery

Survivability Factor
Life Steal: 10%. Based on DPS factor:
1982.7 life stolen
3902.1 life stolen
Under Decrepify/HF: 685.4 life stolen
Under Decrepify/HF: 1348.656 life stolen
Resistances: 44% base + 70% PR + 30% CR + 60@ = 75@, 85%PR (Stacking 29@).
FHR: 20%
DR%: 15%
Defense: 846 + 1179 + 577 = 2602
SLevel 85 mob CtH melee / ranged physical applied attacks: 2 * 85 / (85 + 98) * AR / (AR + Defense) [Will be calculating for most common AR ratings):
5,000 AR: 2 * 85 / (85 + 98) * 5000 / (5000 + 2602) = 61.09%
6,500 AR: 2 * 85 / (85 + 98) * 6500 / (6500 + 2602) = 66.33%
8,000 AR: 2 * 85 / (85 + 98) * 8000 / (8000 + 2602) = 70.09%
-Irrelevant to magic / elemental type attacks.

Exemplary Damage:
Venom Lord
Fire: 96-153*5(Frames)= 480-765 (622.5 Avg.)
Infector of Souls
Fire: 100-160*5(Frames)= 500-800 (650 Avg.)

Common Scenario: Seal #5 opening Infector of Souls + 10 Venom Lords= 622.5*10 + 650 = 6875 *0.25 (75% FR setup): 1718.75 FD. FHR animation 0.6*cumulative strikes.
Common Scenario (Under conviction): Seal #5 opening Infector of Souls + 10 Venom Lords= 622.5*10 + 650 = 6875 *0.71 (29% FR): 4881.25 FD. Mercenary is dead.
*Added CS probability to be under Decrepify in the process- Mercenary is dead @ Scenario 1 as well.

Death Lord
Physical: 76-115
Monster Min Damage = ((76 * 85)/100) * (1 + ((8 - 1) * 0.0625)) = 92.8
Monster Min Damage = ((115*85)/100) * (1 + ((8 - 1) * 0.0625)) = 140.5 (92-140 = 116 Avg.)
Super Unique Death Lord
Physical: 139-231
Monster Min Damage = ((139 * 85)/100) * (1 + ((8 - 1) * 0.0625)) = 169.8
Monster Min Damage = ((231*85)/100) * (1 + ((8 - 1) * 0.0625)) = 282.2 (169-282 = 225.5 Avg.)

Common Scenario: World Stone Keep Level 2, Super unique mob + 8 mobs= (225.5 + 116*8)*0.35 = 403.725.
*Added Throne probability to be under Decrepify in the process- 10.6 (SLevel 12 Decrepify) *0.21 = 2.226 seconds to curse removal. Damage while under Decrepify may be avoided at all but both calculations will be made nonetheless:
(225.5 + 116*8)*1.35 = 3688.2 PD. FHR animation 0.6*cumulative strikes.
(225.5 + 116*8)*0.35 = 403.725 PD. No FHR animation.

DPS Factor
Strength: 209 + 30 (Andariel's V.) = 239
Aura: Might SLevel 20+2 = 250% ED.
IAS: 75(+5)% cumulative.
FPA: 4.5 FPA (4.54 Atk/s)
DS% / CS%: 46% (+6 Crit.)
CB%: 0%.
Special section: Hammerdin Concentration Aura SLevel 35 (PvM average- Calculations in regard will be coloured in blue from here on):+570% ED.
Damage: 1554-4429 (2991 Avg.)
Damage+CS%: 3108-8858 (5983 Avg.)
Damage: 3059-8715 (5887 Avg.)
Damage+CS%: 6118-17430 (11774 Avg.)
Total damage per 1 second: [(2991*54)+(5983*46)]/100 = 4367.32*4.54 = 19827.632
Total damage per 1 second: [(5887*54)+(11774*46)]/100 = 8595.02*4.54 = 39021.3908

Environmental Speed Altering Variables:
-Decrepify (50% Slow) -->

Jab FPA: 6.5 (3.33 Atk/s) = 4367.32*3.33 = 14,543.175
-Decrepify (50% Slow) -->

Jab FPA: 6.5 (3.33 Atk/s) = 8595.02*3.33 = 28,621.416

Decrepify length (3.4+(0.6*slvl)) @SLevel 12: 10.6 (Seconds) *0.21 (-79%) = 2.226. DPS output over 1 minute under:
1 full duration cast: [(14,543.175*2.2)+(19827.632*57.8)]= 1178032.1146/60 = 19,633.86 856.75 less raw damage than Fortitude setup.
2 full duration casts: [(14,543.175*4.4)+(19827.632*55.6)]= 1166406.3092/60 = 19,440.1 157.42 less raw damage than Fortitude setup.
3 full duration casts: [(14,543.175*6.6)+(19827.632*53.4)]= 1154780.5038/60 = 19,246.34 1,171.58 more raw damage than Fortitude setup.
4 full duration casts: [(14,543.175*8.8)+(19827.632*51.2)]= 1143154.6984/60 = 19,052.57 2,185.73 more raw damage than Fortitude setup.

1 full duration cast: [(28,621.416*2.2)+(39021.3908*57.8)]= 2318403.503/60 = 38,640.05 5,079.48 more raw damage than Fortitude setup.
2 full duration casts: [(28,621.416*4.4)+(39021.3908*55.6)]= 2295523.558/60 = 38,258.72 6,676.55 more raw damage than Fortitude setup.
3 full duration casts: [(28,621.416*6.6)+(39021.3908*53.4)]= 2272643.614/60 = 37,877.39 8,273.62 more raw damage than Fortitude setup.
4 full duration casts: [(28,621.416*8.8)+(39021.3908*51.2)]= 2249763.669/60 = 37,496.06 9,870.69 more raw damage than Fortitude setup.

Any consecutive casts beyond these are either extremely rare or just not occurring. From experience, the highest number of these casts during 1 CS run was 4 in a minute's time. Feel free to calculate more using the same formula.

-Holy Freeze (SLevel% Slow) Unique monster supplies level max([mlvl/7],1) Holy Freeze -->

Jab FPA under SLevels 12 & 13 HF: Jab FPA 6.5 (See above calcs, same as Decrepify).

This post was edited by Synonym on Apr 27 2011 03:34am

Lightman

Member

Posts: 50,002

Joined: Apr 22 2008

Gold: Locked

Apr 27 2011 03:32am

Setup #2: Andariel's Visage +15%IAS/30FR Jewel, Infinity Ethereal Giant Thresher (Combatant/Debuffer Mercenary).

Fortitude

Survivability Factor
Life after SLevel 20 BO: +92% -->

4391
Life Steal: 10%. Based on DPS factor:
1,733.7 life stolen
3,467.9 life stolen
Under Decrepify/HF: 1,187.4 life stolen
Under Decrepify/HF: 2,375.1 life stolen
Resistances: 44% base + 70% PR + 30@ = 74@, 85%PR.
Under Conviction SLevel 12 (-85%): -11@, 59% PR.
FHR: 0% (15 Frames = 0.6s recovery animation)
DR%: 0%
Defense: 846 + 3552 + 577 + 115% (SLevel 15 CA) = 10969.
SLevel 85 mob CtH melee / ranged physical applied attacks: 2 * 85 / (85 + 98) * AR / (AR + Defense) [Will be calculating for most common AR ratings):
5,000 AR: 2 * 85 / (85 + 98) * 5000 / (5000 + 10969) = 29.08%
6,500 AR: 2 * 85 / (85 + 98) * 6500 / (6500 + 10969) = 34.56%
8,000 AR: 2 * 85 / (85 + 98) * 8000 / (8000 + 10969) = 39.17%
-Irrelevant to magic / elemental type attacks.

DPS Factor
Strength: 209 + 30 (Andariel's V.) = 239
Aura: Might SLevel 20+2 = 250% ED.
IAS: 35% cumulative.
FPA: 5.5 (3.84 Atk/s)
DS% / CS%: 0%
CB%: 40%.
Special section: Hammerdin Concentration Aura SLevel 35 (PvM average- Calculations in regard will be coloured in blue from here on):+570% ED.
Damage: 2346-6685 (4515 Avg.) +1-2(1.5) CB strikes per second.
Damage: 4692-13370 (9031 Avg.)
Total damage per 1 second: 4515*3.84 = 17337.6
Total damage per 1 second: 9031*3.84 = 34679.04

Crushing Blow- Brief Explanation

Quote

Crushing Blow
"This is a chance of reducing a monster's health by X% in a single blow." ~ Arreat Summit.

VS:
-Default: 1/4th
-vs. Players: 1/10th
-vs. Hirelings: 1/10th
-vs. Champions, Uniques, Bosses: 1/8th
-with missile weapons, default: 1/8th
-with missile weapons, vs. Players: 1/20th
-with missile weapons, vs Hirelings: 1/20th
-with missile weapons, vs Champions, Uniques, Bosses: 1/16th

The number of players in game will affect the %CB accordingly.
For example, a monster with 450% more life due to a full 8 player game will receive a successful Crushing Blow enhanced attack with a reduction equal to its New-Valued total health. The New-Valued life would be (Assuming X=100% monster life): X+(X*4.5) = New-Valued X. Hence, the reduction will be the %CB devided by 4.5, in this specific case.

-100% CB is attainable through all slots combined except dual-wield (refer to the same explanation presented in "Stacking Deadly Strike").
-Only positive physical resistance is applied when dealing %CB to the monster, if it has -% physical resistance, it will be considered 0% physical resistance. Anything lower will be ignored, regarding %CB final damage.
-1.10 patch brought with him a difference in calculation of %CB, in which up until today we calculate Crushing Blow before the character's normal damage. This means a successful Crushing Blow attack would first reduce the monster's percentage of life, and only then will the remaining monster's health be reduced further by the normal damage applied with that same exact attack. To make this easier to swallow: Attack Monster -->

Successful -->

%45 (for example) CB applied -->

New-Lowered HP -->

Normal attack's damage is now applied.
-%CB probabilities stack, and are not checked each at a time, but as a whole random check.

Chosen monsters & CB calculations:
-Diablo: 113,812 *4.50 (P8)= 512,154 HP. 45% DR.
CB reduction effective: 12.5% *0.55 = 6.875%
-Baal: 493,701 *4.50 (P8)= 2,221,654 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%
-Lister the Tormentor (baalminion1): 53164-59346 (56,255 Avg.) *4.50 (P8)= 253,147 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%

Environmental Speed Altering Variables:
-Decrepify (50% Slow) -->

Jab FPA: 8.5 (2.63 Atk/s) = 4515*2.63 = 11874.45
-Decrepify (50% Slow) -->

Jab FPA: 8.5 (2.63 Atk/s) = 9031*2.63 = 23751.53

Decrepify length (3.4+(0.6*slvl)) @SLevel 12: 10.6 seconds. DPS output over 1 minute under:
1 full duration cast: [(11874.45*10.6)+(17337.6*49.4)]= 982346.61/60 = 16,372.4435
2 full duration casts: [(11874.45*21.2)+(17337.6*38.8)]= 924437.22/60 = 15,407.287
3 full duration casts: [(11874.45*31.8)+(17337.6*28.2)]= 866527.83/60 = 14,442.1305
4 full duration casts: [(11874.45*42.4)+(17337.6*17.6)]= 808618.44/60 = 13,476.974

1 full duration cast: [(23751.53*10.6)+(34679.04*49.4)]= 1964910.794/60 = 32,748.5132
2 full duration casts: [(23751.53*21.2)+(34679.04*38.8)]= 1849079.188/60 = 30,817.9864
3 full duration casts: [(23751.53*31.8)+(34679.04*28.2)]= 1733247.582/60 = 28,887.4597
4 full duration casts: [(23751.53*42.4)+(34679.04*17.6)]= 1617415.976/60 = 26,956.9329

CB + raw damage sequence for Diablo: Diablo Sequence #1 - Successful strikes required: 35/21
- FPA/Time table regarding successful striking: 35/3.84= 9.11 seconds | 21/3.84= 5.46 seconds
CB + raw damage sequence for Baal: Baal Sequence #1 - Successful strikes required: 86/63
- FPA/Time table regarding successful striking: 86/2.98= 28.8 seconds| 63/2.98= 21.1 seconds
CB + raw damage sequence for Lister the Tormentor: Lister The Tormentor Sequence #1 - Successful strikes required: 28/17
- FPA/Time table regarding successful striking: 28/2.98= 9.3 seconds | 17/2.98= 5.7 seconds

**FPA tables regarding Baal & LtT are the average of Decrepify spell timer + regular wsm calculated for a total of 60 seconds to incorporate the 4 Decrepify cast sequence. [(2.63*42.4)+(3.84*17.6)]/60 = 2.98 average FPA.

Treachery

Survivability Factor
Life Steal: 10%. Based on DPS factor:
xxx life stolen
xxxx life stolen
Under Decrepify/HF: xxxx life stolen
Under Decrepify/HF: xxxx life stolen
Resistances: 44% base + 70% PR + 30% CR + 60@ = 75@, 85%PR (Stacking 29@).
FHR: 20%
DR%: 15%
Defense: 846 + 1179 + 577 = 2602
SLevel 85 mob CtH melee / ranged physical applied attacks: 2 * 85 / (85 + 98) * AR / (AR + Defense) [Will be calculating for most common AR ratings):
5,000 AR: 2 * 85 / (85 + 98) * 5000 / (5000 + 2602) = 61.09%
6,500 AR: 2 * 85 / (85 + 98) * 6500 / (6500 + 2602) = 66.33%
8,000 AR: 2 * 85 / (85 + 98) * 8000 / (8000 + 2602) = 70.09%
-Irrelevant to magic / elemental type attacks.

DPS Factor
Strength: 209 + 30 (Andariel's V.) = 239
Aura: Might SLevel 20+2 = 250% ED.
IAS: 75(+5)% cumulative.
FPA: 4.5 FPA (4.54 Atk/s)
CB%: 40%.
Special section: Hammerdin Concentration Aura SLevel 35 (PvM average- Calculations in regard will be coloured in blue from here on):+570% ED.
Damage: 1554-4429 (2991 Avg.)
Damage: 3059-8715 (5887 Avg.)
Total damage per 1 second: 2991*4.54 = 13579.14
Total damage per 1 second: 5887*4.54 = 26726.98

Chosen monsters & CB calculations:
-Diablo: 113,812 *4.50 (P8)= 512,154 HP. 45% DR.
CB reduction effective: 12.5% *0.55 = 6.875%
-Baal: 493,701 *4.50 (P8)= 2,221,654 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%
-Lister the Tormentor (baalminion1): 53164-59346 (56,255 Avg.) *4.50 (P8)= 253,147 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%

Environmental Speed Altering Variables:
-Decrepify (50% Slow) -->

Jab FPA: 6.5 (3.33 Atk/s) = 2991*3.33 = 9960.03
-Decrepify (50% Slow) -->

Jab FPA: 6.5 (3.33 Atk/s) = 5887*3.33 = 19603.71

Decrepify length (3.4+(0.6*slvl)) @SLevel 12: 10.6 (Seconds) *0.21 (-79%) = 2.226. DPS output over 1 minute under:
1 full duration cast: [(9960.03*2.2)+(13579.14*57.8)]= 806786.358/60 = 13,446.43 = 2,926.04 less raw damage than Fortitude setup.
2 full duration casts: [(9960.03*4.4)+(13579.14*55.6)]= 798824.316/60 = 13,313.73 = 2,093.55 less raw damage than Fortitude setup.
3 full duration casts: [(9960.03*6.6)+(13579.14*53.4)]= 790862.274/60 = 13,181.03 = 1,261.10 less raw damage than Fortitude setup.
4 full duration casts: [(9960.03*8.8)+(13579.14*51.2)]= 782900.232/60 = 13,048.33 = 428.64 less raw damage than Fortitude setup.

1 full duration cast: [(19603.71*2.2)+(26726.98*57.8)]= 1587947.606/60 = 26,465.79 = 6,282.72 less raw damage than Fortitude setup.
2 full duration casts: [(19603.71*4.4)+(26726.98*55.6)]= 1572276.412/60 = 26,204.60 = 4,613.38 less raw damage than Fortitude setup.
3 full duration casts: [(19603.71*6.6)+(26726.98*53.4)]= 1556605.218/60 = 25,943.42 = 2,944.03 less raw damage than Fortitude setup.
4 full duration casts: [(19603.71*8.8)+(26726.98*51.2)]= 1540934.024/60 = 25,682.23 = 1,274.70 less raw damage than Fortitude setup.

CB + raw damage sequence for Diablo: Diablo Sequence #2 - Successful strikes required: 40/26
- FPA/Time table regarding successful striking: 40/4.54= 8.8 (0.3 seconds faster than Fortitude setup) | 26/4.54= 5.72 seconds (0.26 seconds faster than Fortitude setup)
CB + raw damage sequence for Baal: Baal Sequence #2 - Successful strikes required: 91/69
- FPA/Time table regarding successful striking: 91/4.36= 20.8 seconds (8 seconds faster than Fortitude setup) | 69/4.36= 15.8 seconds (5.3 seconds faster than Fortitude setup)
CB + raw damage sequence for Lister the Tormentor: Lister The Tormentor Sequence #2 - Successful strikes required: 29/18
- FPA/Time table regarding successful striking: 29/4.36= 6.6 seconds (2.7 seconds faster than Fortitude setup) | 18/4.36= 4.1 seconds (1.6 seconds faster than Fortitude setup)

**FPA tables regarding Baal & LtT are the average of Decrepify spell timer + regular wsm calculated for a total of 60 seconds to incorporate the 4 Decrepify cast sequence. [(3.33*8.8)+(4.54*51.2)]/60= 4.36 average FPA.

Any consecutive casts beyond these are either extremely rare or just not occurring. From experience, the highest number of these casts during 1 CS run was 4 in a minute's time. Feel free to calculate more using the same formula.

-Holy Freeze (SLevel% Slow) Unique monster supplies level max([mlvl/7],1) Holy Freeze -->

Jab FPA under SLevels 12 & 13 HF: Jab FPA 6.5 (See above calcs, same as Decrepify).

Lightman

Member

Posts: 50,002

Joined: Apr 22 2008

Gold: Locked

Apr 27 2011 03:32am

Setup #3: Guillaume's Face, Reaper's Toll Ethereal Thresher +15%IAS/40%ED jewel (Combatant Mercenary).

Fortitude

Survivability Factor
Life after SLevel 20 BO: +92% -->

4391
Life Steal: 15%. Based on DPS factor:
3,162 life stolen
5,274 life stolen
Under Decrepify/HF: 1,444 life stolen
Under Decrepify/HF: 2,408 life stolen
Resistances: 44% base + 30@ = 74@.
Under Conviction SLevel 12 (-85%): -11@.
FHR: 30% (10 Frames = 0.4s recovery animation)
DR%: 0%
Defense: 846 + 3552 + 217 + 115% (SLevel 15 CA) = 9922.
SLevel 85 mob CtH melee / ranged physical applied attacks: 2 * 85 / (85 + 98) * AR / (AR + Defense) [Will be calculating for most common AR ratings):
5,000 AR: 2 * 85 / (85 + 98) * 5000 / (5000 + 9922) = 31.1%
6,500 AR: 2 * 85 / (85 + 98) * 6500 / (6500 + 9922) = 36.7%
8,000 AR: 2 * 85 / (85 + 98) * 8000 / (8000 + 9922) = 41.1%
-Irrelevant to magic / elemental type attacks.

DPS Factor
Strength: 209 +15 (G. Face): 224
Aura: Might SLevel 20 = 230% ED.
IAS: 30% cumulative.
FPA: 5.5 (3.84 Atk/s)
DS% / CS%: 48%
CB%: 35%.
Curse: Decrepify (-50% DR)
Special section: Hammerdin Concentration Aura SLevel 35 (PvM average- Calculations in regard will be coloured in blue from here on):+570% ED.
Damage: 580-6840 (3710 Avg.) +1(.2) CB strikes per second.
Damage+DS%: 1160-13680 (7420 Avg.)
Damage: 968-11406 (6187 Avg.)
Damage+DS%: 1936-22812 (12374 Avg.)
Total damage per 1 second: [(3710*52)+(7420*48)]/100 = 5490.8*3.84 = 21,084.67
Decrepify Proc / Vs.:
0% DR mobs- 21,084.67*1.5 = 31,627
33% DR mobs- 21,084.67*1.17 = 24,669.06
50% DR mobs- 21,084.67*1 = 21,084.67
75% DR mobs- 21,084.67*0.75 = 15,813.5
Total damage per 1 second: [(6187*52)+(12374*48)]/100 = 9156.76*3.84 = 35,161.95
Decrepify Proc / Vs.:
0% DR mobs- 35,161.95*1.5 = 52,742.92
33% DR mobs- 35,161.95*1.17 = 41,139.48
50% DR mobs- 35,161.95*1 = 35,161.95
75% DR mobs- 35,161.95*0.75 = 26,371.46

Chosen monsters & CB calculations:
-Diablo: 113,812 *4.50 (P8)= 512,154 HP. 45% DR.
CB reduction effective: 12.5% *0.55 = 6.875%
-Baal: 493,701 *4.50 (P8)= 2,221,654 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%
-Lister The Tormentor (baalminion1): 53164-59346 (56,255 Avg.) *4.50 (P8)= 253,147 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%

Environmental Speed Altering Variables:
-Decrepify (50% Slow) -->

Jab FPA: 8.5 (2.63 Atk/s) = 5490.8*2.63 = 14440.804
-Decrepify (50% Slow) -->

Jab FPA: 8.5 (2.63 Atk/s) = 9156.76*2.63 = 24082.2788

Decrepify length (3.4+(0.6*slvl)) @SLevel 12: 10.6 seconds. DPS output over 1 minute under:
1 full duration cast: [(14440.804*10.6)+(21084.67*49.4)]= 1194655.2204/60 = 19,910.92
Decrepify Proc/ Vs.:
0% DR mobs- 19,910.92*1.5 = 29,866.38
33% DR mobs- 19,910.92*1.17 = 23,295.77
50% DR mobs- 19,910.92*1 = 19,910.92
75% DR mobs- 19,910.92*0.75 = 14,933.19
2 full duration casts: [(14440.804*21.2)+(21084.67*38.8)]= 1124230.2408/60 = 18,737.17
Decrepify Proc/ Vs.:
0% DR mobs- 18,737.17*1.5 = 28,105.75
33% DR mobs- 18,737.17*1.17 = 21,922.48
50% DR mobs- 18,737.17*1 = 18,737.17
75% DR mobs- 18,737.17*0.75 = 14,052.87
3 full duration casts: [(14440.804*31.8)+(21084.67*28.2)]= 1053805.2612/60 = 17,563.42
Decrepify Proc/ Vs.:
0% DR mobs- 17,563.42*1.5 = 26,345.13
33% DR mobs- 17,563.42*1.17 = 20,549.20
50% DR mobs- 17,563.42*1 = 17,563.42
75% DR mobs- 17,563.42*0.75 = 13,172.56
4 full duration casts: [(14440.804*42.4)+(21084.67*17.6)]= 983380.2816/60 = 16,389.67
Decrepify Proc/ Vs.:
0% DR mobs- 16,389.67*1.5 = 24,584.5
33% DR mobs- 16,389.67*1.17 = 19,175.91
50% DR mobs- 16,389.67*1 = 16,389.67
75% DR mobs- 16,389.67*0.75 = 12,292.25

1 full duration cast: [(24082.2788*10.6)+(35161.95*49.4)]= 1992272.4852/60 = 33,204.54
Decrepify Proc/ Vs.:
0% DR mobs- 33,204.54*1.5 = 49,806.81
33% DR mobs- 33,204.54*1.17 = 38,849.31
50% DR mobs- 33,204.54*1 = 33,204.54
75% DR mobs- 33,204.54*0.75 = 24,903.4
2 full duration casts: [(24082.2788*21.2)+(35161.95*38.8)]= 1874827.9705/60 = 31,247.13
Decrepify Proc/ Vs.:
0% DR mobs- 31,247.13*1.5 = 46,870.69
33% DR mobs- 31,247.13*1.17 = 36,559.14
50% DR mobs- 31,247.13*1 = 31,247.13
75% DR mobs- 31,247.13*0.75 = 23,435.34
3 full duration casts: [(24082.2788*31.8)+(35161.95*28.2)]= 1757383.4558/60 = 29,289.72
Decrepify Proc/ Vs.:
0% DR mobs- 29,289.72*1.5 = 43,934.58
33% DR mobs- 29,289.72*1.17 = 34,268.97
50% DR mobs- 29,289.72*1 = 29,289.72
75% DR mobs- 29,289.72*0.75 = 21,967.29
4 full duration casts: [(24082.2788*42.4)+(35161.95*17.6)]= 1639938.9411/60 = 24,332.31
Decrepify Proc/ Vs.:
0% DR mobs- 24,332.31*1.5 = 36,498.46
33% DR mobs- 24,332.31*1.17 = 28,468.8
50% DR mobs- 24,332.31*1 = 24,332.31
75% DR mobs- 24,332.31*0.75 = 18,249.23

CB + raw damage sequence for Diablo: Diablo Sequence #3 - Successful strikes required: 20/14
- FPA/Time table regarding successful striking: 20/3.84= 5.2 seconds | 14/3.84= 3.6 seconds
CB + raw damage sequence for Baal: Baal Sequence #3 - Successful strikes required: 48/41
- FPA/Time table regarding successful striking: 48/2.98= 16.1 seconds | 41/2.98= 13.7 seconds
CB + raw damage sequence for Lister The Tormentor: Lister The Tormentor Sequence #3 - Successful strikes required: 15/11
- FPA/Time table regarding successful striking: 15/2.98= 5 seconds | 11/2.98= 3.7 seconds

**FPA tables regarding Baal & LtT are the average of Decrepify spell timer + regular wsm calculated for a total of 60 seconds to incorporate the 4 Decrepify cast sequence. [(2.63*42.4)+(3.84*17.6)]/60 = 2.98 average FPA.

Treachery

Survivability Factor
Life Steal: 15%. Based on DPS factor:
1,616.8 life stolen
3,281.2 life stolen
Under Decrepify/HF: xxxx life stolen
Under Decrepify/HF: xxxx life stolen
Resistances: 44% base + 30% CR + 60@ = 75@, 134% CR (Stacking 29@, 59% CR).
FHR: 20%
DR%: 15%
Defense: 846 + 1179 + 217 = 2242
SLevel 85 mob CtH melee / ranged physical applied attacks: 2 * 85 / (85 + 98) * AR / (AR + Defense) [Will be calculating for most common AR ratings):
5,000 AR: 2 * 85 / (85 + 98) * 5000 / (5000 + 2242) = 64.13%
6,500 AR: 2 * 85 / (85 + 98) * 6500 / (6500 + 2242) = 69.07%
8,000 AR: 2 * 85 / (85 + 98) * 8000 / (8000 + 2242) = 72.56%
-Irrelevant to magic / elemental type attacks.

DPS Factor
Strength: 209 + 15 (G. Face) = 224
Aura: Might SLevel 20 = 230% ED.
IAS: 75(+5)% cumulative.
FPA: 4.5 FPA (4.54 Atk/s)
DS%: 48%.
CB%: 35%.
Special section: Hammerdin Concentration Aura SLevel 35 (PvM average- Calculations in regard will be coloured in blue from here on):+570% ED.
Damage: 376-4437 (2406 Avg.)
Damage+DS%: 752-8874 (4813 Avg.)
Damage: 764-9003 (4883 Avg.)
Damage+DS%: 1528-18006 (9767 Avg.)
Total damage per 1 second: [(2406*52)+(4813*48)]/100 = 3561.36*4.54 = 16,168.57
Decrepify Proc / Vs.:
0% DR mobs- 16,168.57*1.5 = 24,252.85
33% DR mobs- 16,168.57*1.17 = 18,917.22
50% DR mobs- 16,168.57*1 = 16,168.57
75% DR mobs- 16,168.57*0.75 = 12,126.42
Total damage per 1 second: [(4883*52)+(9767*48)]/100 = 7227.32*4.54 = 32,812.03
Decrepify Proc / Vs.:
0% DR mobs- 32,812.03*1.5 = 49,218.04
33% DR mobs- 32,812.03*1.17 = 38,390.07
50% DR mobs- 32,812.03*1 = 32,812.03
75% DR mobs- 32,812.03*0.75 = 24,609.02

Chosen monsters & CB calculations:
-Diablo: 113,812 *4.50 (P8)= 512,154 HP. 45% DR.
CB reduction effective: 12.5% *0.55 = 6.875%
-Baal: 493,701 *4.50 (P8)= 2,221,654 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%
-Lister The Tormentor (baalminion1): 53164-59346 (56,255 Avg.) *4.50 (P8)= 253,147 HP. 50% DR.
CB reduction effective: 12.5% *0.5 = 6.25%

Environmental Speed Altering Variables:
-Decrepify (50% Slow) -->

Jab FPA: 6.5 (3.33 Atk/s) = 3561.36*3.33 = 11,859.32
-Decrepify (50% Slow) -->

Jab FPA: 6.5 (3.33 Atk/s) = 7227.32*3.33 = 24,066.97

Decrepify length (3.4+(0.6*slvl)) @SLevel 12: 10.6 (Seconds) *0.21 (-79%) = 2.226. DPS output over 1 minute under:
1 full duration cast: [(11,859.32*2.2)+(16,168.57*57.8)]= 960633.85/60 = 16,010.56 = 3,900.36 less raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 16,010.56*1.5 = 24,015.84
33% DR mobs- 16,010.56*1.17 = 18,732.35
50% DR mobs- 16,010.56*1 = 16,010.56
75% DR mobs- 16,010.56*0.75 = 12,007.92
2 full duration casts: [(11,859.32*4.4)+(16,168.57*55.6)]= 951153.5/60 = 15,852.55 = 2,884.62 less raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 15,852.55*1.5 = 23778.82
33% DR mobs- 15,852.55*1.17 = 18,547.48
50% DR mobs- 15,852.55*1 = 15,852.55
75% DR mobs- 15,852.55*0.75 = 11,889.41
3 full duration casts: [(11,859.32*6.6)+(16,168.57*53.4)]= 941673.15/60 = 15,694.55 = 1,868.87 less raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 15,694.55*1.5 = 23,541.82
33% DR mobs- 15,694.55*1.17 = 18,362.62
50% DR mobs- 15,694.55*1 = 15,694.55
75% DR mobs- 15,694.55*0.75 = 11,770.91
4 full duration casts: [(11,859.32*8.8)+(16,168.57*51.2)]= 932192.8/60 = 15,536.54 = 853.13 less raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 15,536.54*1.5 = 23,304.81
33% DR mobs- 15,536.54*1.17 = 18,177.75
50% DR mobs- 15,536.54*1 = 15,536.54
75% DR mobs- 15,536.54*0.75 = 11,652.40

1 full duration cast: [(24,066.97*2.2)+(32,812.03*57.8)]= 1949482.668/60 = 32,491.37 = 713.17 less raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 32,491.37*1.5 = 48,737.05
33% DR mobs- 32,491.37*1.17 = 38,014.90
50% DR mobs- 32,491.37*1 = 32,491.37
75% DR mobs- 32,491.37*0.75 = 24,368.52
2 full duration casts: [(24,066.97*4.4)+(32,812.03*55.6)]= 1930243.536/60 = 32,170.72 = 923.59 more raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 32,170.72*1.5 = 48,256.08
33% DR mobs- 32,170.72*1.17 = 37,639.74
50% DR mobs- 32,170.72*1 = 32,170.72
75% DR mobs- 32,170.72*0.75 = 24,128.04
3 full duration casts: [(24,066.97*6.6)+(32,812.03*53.4)]= 1911004.404/60 = 31,850.07 = 2,560.35 more raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 31,850.07*1.5 = 47,775.10
33% DR mobs- 31,850.07*1.17 = 37,264.58
50% DR mobs- 31,850.07*1 = 31,850.07
75% DR mobs- 31,850.07*0.75 = 23,887.55
4 full duration casts: [(24,066.97*8.8)+(32,812.03*51.2)]= 1891765.272/60 = 31,529.42 = 7,197.11 more raw damage than Fortitude setup.
Decrepify Proc / Vs.:
0% DR mobs- 31,529.42*1.5 = 47,294.13
33% DR mobs- 31,529.42*1.17 = 36,889.42
50% DR mobs- 31,529.42*1 = 31,529.42
75% DR mobs- 31,529.42*0.75 = 23,647.06

CB + raw damage sequence for Diablo: Diablo Sequence #4 - Successful strikes required: 22/15
- FPA/Time table regarding successful striking: 22/4.54= 4.8 seconds (0.4 seconds slower than Fortitude setup) | 15/4.54= 3.3 seconds (0.3 seconds faster than Fortitude setup)
CB + raw damage sequence for Baal: Baal Sequence #4 - Successful strikes required: /[/COLOR]
- FPA/Time table regarding successful striking: 49/4.36= 11.2 seconds (4.9 seconds faster than Fortitude setup) | 37/4.36= 8.4 seconds (5.3 seconds faster than Fortitude setup)
CB + raw damage sequence for [COLOR=darkred]Lister the Tormentor: Lister The Tormentor Sequence #4 - Successful strikes required: 16/9
- FPA/Time table regarding successful striking: 16/4.36= 3.6 seconds (1.4 seconds faster than Fortitude setup) | 9/4.36= 2 seconds (1.7 seconds faster than Fortitude setup)

**FPA tables regarding Baal & LtT are the average of Decrepify spell timer + regular wsm calculated for a total of 60 seconds to incorporate the 4 Decrepify cast sequence. [(3.33*8.8)+(4.54*51.2)]/60= 4.36 average FPA.

Any consecutive casts beyond these are either extremely rare or just not occurring. From experience, the highest number of these casts during 1 CS run was 4 in a minute's time. Feel free to calculate more using the same formula.

-Holy Freeze (SLevel% Slow) Unique monster supplies level max([mlvl/7],1) Holy Freeze -->

Jab FPA under SLevels 12 & 13 HF: Jab FPA 6.5 (See above calcs, same as Decrepify).

Lightman

Member

Posts: 50,002

Joined: Apr 22 2008

Gold: Locked

Apr 27 2011 03:33am

FAQ

1. What is the Dice Roll Effect?
Answer: A simple description of chance. Chance is a factor one cannot predict. Even with a 99% chance to inflict "A" circumstance, there can be a scenario in which in all 10 subsequent cases, "B" factor will be randomly chosen. Random factor cannot be affected by any increment in chance or otherwise, although it does help the occurrence to apply "more often", though it's an illusion we keep feeding ourselves.
A dice having rolled "6" 100 times in a row doesn't have a higher chance of rolling "6" at the 101th time, since the sequence was individual and random to that specific roll, from which one could learn absolutely nothing of the behavior of numbers.

2. Why not post some in-game results to gain a believable feed of the game?
Answer: Refer to the above. One could learn nothing from 1, 10 or even 100 in game tests, since they all run on randomly generated numbers. Since "random" has no true predictable behavior, it cannot be relied upon. This is also why %MF, another in game random-reliant factor, could never be tagged as a good amount at X integer. Nobody knows what a good MF amount is since it simply doesn't matter. One could be lucky and land a 10,000 FG worth rare in several runs using a 50% MF character, while another could spend years with a 700% MF character and never find such an item.
Since the only way to give a technical example of it is bordering the maximal and minimal ranges of those amounts, one could only look at the average of the two extreme measurements and by doing so meet them "half-way". Though it could be that the average will never be applied, it gives a good "aspect" of what could be.
Using that and WCS I was able to provide with a technical, though seemingly unreal, approach of the situation, which some may not agree with.

3. WCS???
Answer: I call it the Worst Case Scenario. I took every percentile of the Crushing Blow effect and applied it only the end of the borderline. Meaning, when there is a 40% chance to CB, I applied it to the last 4 strikes of a 10 strike sequence. True, this is "unreal", but since in game tests cannot be relied on, this gives a scenario in which chance acts as a tangible concept which could be handled with. Applying it to the last strikes will result in the least damage given- while taking into account that it has 40% CB and not giving it less strikes- is the most accessible way to receive on-paper results. True, even with 40% CB there may even be no successful CB strikes at all or contrary- apply to every strike in the sequence, but that is why chance is chance.

4. What is all this topic telling me? ISO tl;dr version
Answer: Treachery is simply better than Fortitude. In ~80% of all cases when raw damage is applied, and better in ALL cases in which CB is applied. In the eventuality of killing a mob, Treachery kills faster. It also makes for a better shell for the mercenary to be a stronger tank.

5. I see Fortitude has a lot more gfg defense, like +30% less chance to be hit. Why isn't that better?
Answer: Well, although this is true, and although receiving less strikes means less likelihood to be interrupted / being thrown into FHR animations, this is only true regarding melee physical attacking / ranged physical attacking mobs. A quick look at an online bestiary will show you that the greatest majority of the game mobs throughout the acts constitute of magic/elemental damage mobs, and even those who melee attack have, for the most part, a magical/elemental attack as well. Knowing this, and taking life stealing into account, this factor is simply not worth relying on.

6. Will you do more comparisons for me if I gave you other setups pl0x?
Answer: No. Use your brain. This is 3rd grade math, at best.

7. Crab topic/csb/lol/forty>
Answer: D2jsp/10.

8. You do know the constant stupidity/question threads won't stop. Why bother?
Answer: ...

Maro_

Member

Posts: 6,546

Joined: Dec 29 2005

Gold: 197.00

Apr 27 2011 03:40am