DPS rank for mastery pets

Calculation conditions:

  1. Max pet levels, and max skill levels. One exception, Skeleton - Will of the Crypt, is set at level 10.
  2. No modifiers from gears.
  3. base damage for gears, buffs, auras and other sources: 200
    % Damage: 3000%.
    Attack Speed: 90%.
    Cast Speed:45%.
    Offensive Ability: 90%.
    Critical Damage: 90%.
    Monster’s Defensive Ability: 2680 (Nemesis in SR 75)
  4. We regard average DPS of Skeletons (weight: 2 Warriors, 3 Archers, 3 Mages, 2 Kinghts) as 1. For example, Primal Spirit with 8.5 means its solo DPS is similar to 8.5 Skeletons under above conditions.

What we take in consideration:

  1. Attack Speed, Cast Speed and Animation time.
  2. DoT and its duration.
  3. Skills and Their Cooldown.
  4. Offensive Ability, Defensive Ability, and Crits.
  5. % Damage and Attributes (Cunning and Spirit).
  6. Skills which aim only long range targets (like Shadow Strike of Primal Spirit and Sundered Wraith) will be used only once.
  7. Double hit and multiple hit for some pet (like Primal Spirit).
  8. For Skeletal Mage - Fireball Nove, we assume 3 fireballs hit, and its short range penalty is -35%. For Briarthorn - Ground Slam, we assume 1 projectile hits, and ignore its short range penalty. Otherwise, its DPS could be even lower.

What we ignore:

  1. Monster’s Armor. We use “100% Physical converted to Aether” to avoid Armor. Most pet builds will convert Phsical to other type.
  2. Res. and RR.
  3. Only solo DPS, not AoE DPS.
  4. No modifiers from gears.

A calculation example, Briarthorn:
(skill 1 - Slash, skill 2 - Ground Slam)

Battle Time:8 s
Pet Actions:
Time:00s: 01f, Attack Type:Skill 1
Time:00s: 22f, Attack Type:Skill 2
Time:02s: 03f, Attack Type:Skill 1
Time:02s: 24f, Attack Type:Base Attack
Time:03s: 15f, Attack Type:Base Attack
Time:04s: 06f, Attack Type:Skill 1
Time:04s: 27f, Attack Type:Skill 2
Time:06s: 08f, Attack Type:Skill 1
Time:06s: 29f, Attack Type:Base Attack
Time:07s: 20f, Attack Type:Base Attack
Count: Base Attack×4, Skill 1×4, Skill 2×2

Pet Data:
Attack Speed: 90%
Cast Speed: 45%
Offensive Ability: 4299.7
Critical Damage: 135%
Total Damage Modified: 0%

Pet OA=4299.7,Enemy DA=2680
Chance to Hit=100%
Chance to Crit=32.4544%
Damage reduce=0%
Crit for 2.45 times=11.2576%
Crit for 2.55 times=11.2576%
Crit for 2.65 times=7.50507%
Crit for 2.75 times=2.43412%
Crit for 2.85 times=0%
Multiplier of Crit=1.50416

% Damage:
Physical: 3613.41%
Fire: 3722.12%
Cold: 3722.12%
Lightning: 3722.12%
Acid: 3722.12%
Pierce: 3601.41%
Vitality: 3722.12%
Aether: 3722.12%
Chaos: 3722.12%
Trauma: 3633.34%
Bleed: 3633.34%
Burn: 3746%
Frostburn: 3746%
Electrocute: 3746%
Poison: 3746%
Decay: 3746%

Damage Conversion:
From Physical to Aether: 100%

Statistics:
Physical:0.0
Fire:0.0
Cold:0.0
Lightning:0.0
Acid:0.0
Pierce:0.0
Vatality:0.0
Aether:630875.0
Chaos:0.0
Trauma:0.0
Bleed:432082.8
Burn:0.0
Forstburn:0.0
Electrocute::0.0
Poison:0.0
Decay:0.0

Total Damage (Flat):630875.0
Total Damage (DoT):432082.8
Total Damage (All):1062957.9
DPS:132869.7

Average DPS of Skeletons is 43362. So, DPS of Briarthorn is equal to 3.1 Skeletons.

Rank without gear modifiers:

2024-09-01_155806

(Note: Skeletons×10 = Warrior×2, Archer×3, Mage×3, Knight×2)

Rank with gear modifiers:
Same other conditions, but with gear modifiers.

Gear details:
Primal Spirit:
OH: Bound Wraith

Sundered Wraiths:
Diviner: Diviner’s Vision

Raven:
Bysmiel: Bysmiel’s Trinkets

Blight Fiend:
UA, medal: Unstable Anomaly, 20% Total Damage Modified from Mark of Bloody Ends or Rotdrinker Crest
Ghol, Scorpius: Ghol’s Malice, Scorpius Pummeler, Circlet of the Great Serpent
Ghol, Blightstone: Ghol’s Malice, Blightstone Invoker, Circlet of the Great Serpent

Hellhound:
Lostsoul, OH, medal: Shepherd of Lost Souls, Fleshwarped Archive, Halion’s Crest
Non-set, Elem: Bysmiel’s Mindweaver, Fleshwarped Archive, Zaria’s Pendant, Chosen Visage, Halion’s Crest
Non-Set, Fire: Dracarris, Fleshwarped Archive, Zaria’s Pendant, Chosen Visage, Halion’s Crest
Non-Set, Vitality: Veilpiercer, Fleshwarped Archive, Zaria’s Pendant, Chosen Visage, Halion’s Crest
Beastcaller, Fire: Nature’s Call Regalia, Dracarris, Fleshwarped Archive, Zaria’s Pendant

Briarthorn:
Beastcaller, OH: Nature’s Call Regalia, Bloodsworn Codex
Ghol, OH, Scorpius: Ghol’s Malice, Ascendant Cowl, Bloodsworn Codex, Scorpius Pummeler

Skeletons:
Skeletons×10 = Warrior×2, Archer×3, Mage×3, Knight×2

P.S.
We assume that both pet levels and skill levels are max. However, in many builds, it’s hard to reach max skill levels. This means DPS should be lower.
For skeletens, Primal Spirits and Wraith (the top 3), this problem never matters, as their skill levels automatically increase with pet levels, and max pet levels means max skill levels.
But for Briarthorn, Hellhound, Blight Fiend (the last 3) and Raven, things do matter. Their skill levels are independent, and hard to reach max level.

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How Attack Speed and Cast Speed affect DPS
AS and CS have a complex impacts on DPS. I mean, sometimes, higher AS/CS may result in lower DPS.

Brairthorn, an example:

Battle Time: 100 seconds
CS: fixed 45%

AS: 60%
Pet Action: skill cycle “Ground Slam → Slash → 1 Base Attack”, 3 seconds for each cycle.
DPS: ~3.00 Skeletons

AS: 90%
Pet Action: skill cycle “Slash → Ground Slam → Slash → 2 Base Attacks”, 4.2 seconds for each cycle. Frequency of Ground Slam decreases.
DPS: ~2.98 Skeletons

AS: 120%
Pet Action: skill cycle “Ground Slam → Slash → 2 Base Attacks”, 3.2 seconds for each cycle.
DPS: ~3.12 Skeletons

60% difference in AS, but only 4% increase in DPS.
Brairthorn AS-DPS curve (CS fixed 45%)

2024-09-01_171150

Raven, another example:

Battle Time: 100 seconds

CS: 50%
Pet Action: skill cycle “Lightning Strike → 2 Base Attack”, 2.5 seconds for each cycle.
DPS: ~6.40 Skeletons

CS: 70%
Pet Action: skill cycle “Lightning Strike → 3 Base Attack”, 2.9 seconds for each cycle.
DPS: ~6.41 Skeletons

20% difference in CS, but 0% increase in DPS.
Raven CS-DPS curve

2024-09-01_171012

Conclusions:
AS/CS usually have a bad performance on mastery pets. Sometimes, higher AS/CS may lead to lower DPS. That is awful.
On the contrary, for gear pets, like Primal Instinct and Bonescavenger, who have only base attack and no skills, AS/CS indeed improve them a lot.

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