Eleanor's theorycrafting...

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The goal of this section is to study the impact of the various metagems on a warlock's dps. It is a work in progress, so any comment or review are welcome.

Basic assumptions

All the calculations here are assuming a "mana-free" shadow-bolt spam. In addition, we assume that the character is casting only shadowbolts -

As most of the metagems studied here are crit-related, we will assume that the character is using Ruin -

To improve readability, the formulas used in those pages are using the following conventions:

• baseDmg is the (average) base damage of the spell, critical strikes non included. For a shadow bolt (rank 11), baseDmg=572.
• dmg is the spell damage used by the character, spell, buffs and talents included (like Demonic knowledge -
  Demonic Knowledge (Rank 3)

  Increases your spell damage by an amount equal to 15% of the total of your active demon's Stamina plus Intellect.
  or Fel armor -
  Fel Armor (Rank 2)

  725 Mana Instant cast

  Surrounds the caster with fel energy, increasing the amount of health generated through spells and effects by 20% and increasing spell damage by up to 100. Only one type of Armor spell can be active on the Warlock at any time. Lasts 30 min.
  ).
• crit is the spell critical rating of the character, buffs and talents included. (22.1 crit = 1% crit chance)
• hit is the spell hit rating used by the character, buffs included. (12.6 hit = 1% hit chance)
• untalentedCastTime is the base cast time of the spell. For a shadow bolt (rank 11), untalentedCastTime=3.
• castTime is the real cast time of the spell, talents and buffs included. For a shadow bolt (rank 11) and using Bane -
  Bane (Rank 5)

  Reduces the casting time of your Shadow Bolt and Immolate spells by 0.5 sec and your Soul Fire spell by 2 sec.
  , castTime=2.5.

Using those values, we can define the dps of a talented shadowbolt as:

./relentless

DPS gained using a [Relentless Earthstorm Diamond] -

./destructive

DPS gained using a [Destructive Skyfire Diamond] -

./imbued

DPS gained using a [Imbued Unstable Diamond] -

Relentless Earthstorm Diamond vs. Destructive Skyfire Diamond

The condition for a [Relentless Earthstorm Diamond] -

[Destructive Skyfire Diamond] -

Destructive Skyfire Diamond

Meta

+14 Spell Crit Rating and 1% Spell Reflect

Requires at least 2 Red gems

Requires at least 2 Yellow gems

Requires at least 2 Blue gems

'Only fits in a meta gem slot.'

Considered that crit represents a character total spell critical chances, this number seems quite low. However, no matter how hard I try, I can't find a problem in my formulas...

If someone spot an error, please mail me :). In the meantime, I'm inclined to think that the [Destructive Skyfire Diamond] -

Destructive Skyfire Diamond

Meta

+14 Spell Crit Rating and 1% Spell Reflect

Requires at least 2 Red gems

Requires at least 2 Yellow gems

Requires at least 2 Blue gems

'Only fits in a meta gem slot.'

is quite useless...

Relentless Earthstorm Diamond vs. Imbued Unstable Diamond

The condition for a [Relentless Earthstorm Diamond] -

Relentless Earthstorm Diamond

Meta

+12 Agility & 3% Increased Critical Damage

Requires at least 2 Red gems

Requires at least 2 Yellow gems

Requires at least 2 Blue gems

'Only fits in a meta gem slot.'

to provide a larger dps gain than a [Imbued Unstable Diamond] -

Imbued Unstable Diamond

Binds when picked up

Meta

+14 Spell Damage & 5% Stun Resistance

Requires exactly 3 Yellow gems

'Only fits in a meta gem slot.'

can be exprimed as such:

(baseDmg + dmg*untalentedCastTime / 3.5) * (0.83 + hit/1260) * (crit/2210 * 0.06) / castTime > 14*(untalentedCastTime / 3.5) * (1 + crit/2210) * (0.83 + hit/1260) / castTime

(baseDmg + dmg*untalentedCastTime / 3.5) * (crit/2210 * 0.06) > 14*(untalentedCastTime / 3.5) * (1 + crit/2210)

Let's insert some numeric values:

• baseDmg = 572
• untalentedCastTime = 3

(572 + dmg*(3 / 3.5)) * crit/2210 * 0.06 > 14*(3 / 3.5) * (1 + crit/2210)

572 + dmg*(3 / 3.5)) * crit * 0.06 > 12 * (2210 + crit)

34.32*crit + 0.05*crit*dmg > 26520 + 12*crit

(34.32 + 0.05*dmg - 12) * crit > 26250

(22.32 + 0.05*dmg) *crit > 26250

Let's draw a basic graphic to see this more easily:

As we can see, we dont need a lot of spell damage or critical chances for the [Relentless Earthstorm Diamond] -

Relentless Earthstorm Diamond

Meta

+12 Agility & 3% Increased Critical Damage

Requires at least 2 Red gems

Requires at least 2 Yellow gems

Requires at least 2 Blue gems

'Only fits in a meta gem slot.'

to be effective...

Again, if something seems wrong in my development, feel free to mail me.

Still a lot of things to do...

But I don't have the time to do them now. :o)

Links

• Nothing to see, move along...