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| '''Ability Cooldown''' is the time it takes for an [[Ability]] to be usable again. | | '''Ability Cooldown''' is the time it takes for an [[Ability]] to be usable again. This stat also affects [[Item]] cooldowns. |
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| ==Overview== | | ==Overview== |
| Cooldowns range from a few seconds, as in {{HeroIcon|Lady Geist}}'s {{AbilityIcon|Malice}}, to a few minutes, as in {{HeroIcon|Dynamo}}'s {{AbilityIcon|Singularity}}. Ability cooldowns can be reduced by acquiring the Cooldown Reduction stat, which reduces the cooldown by a percentage of base [[ability]] time. | | Cooldowns range from a few seconds, as in [[Lady Geist|Lady Geist's]] Malice, to a few minutes, as [[Dynamo|Dynamo's]] Singularity. Ability cooldowns can be reduced by acquiring the Cooldown Reduction stat, which reduces the cooldown by a percentage of base [[ability]] time. |
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| In the in-game HUD, ability cooldowns only show decimal values below 2s.
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| Unlike [[Ability Range]] and [[Ability Duration]], ability cooldown does not affect items. Items are only affected by a separate stat called [[Ability Cooldown#Item Cooldown|Item Cooldown Reduction]] which is granted by {{ItemIcon|Transcendent Cooldown}}.
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| ===Charged Abilities=== | | ===Charged Abilities=== |
| Some abilities can acquire multiple charges. In those cases, the ability cooldown represents the time for a charge to become available again after being used. This should not be confused with the time between charges, which describes the delay after using a charge that a different charge can be used. | | Some abilities can acquire multiple charges. In those cases, the ability cooldown represents the time for a charge to become available again after being used. This should not be confused with the time between charges, which describes the delay after using a charge that a different charge can be used. |
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| == Calculation == | | ===Stacking=== |
| | Despite being presented in-game as +X% Cooldown Reduction, different sources of cooldown reduction stack multiplicatively, not additively. With <math>n</math> different sources of cooldown reduction, total cooldown reduction is given by: |
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| === Calculating Cooldown Reduction === | | <math>CR_{Total} = 1 - \prod_{i=1}^n (1 - CR_i)</math> |
| Despite being presented in-game as +X% Cooldown Reduction, multiple sources stack '''multiplicatively''', not additively:
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| <math>\text{Total Cooldown Reduction} = 1 - (1 - CR_1) \times (1 - CR_2) \dots</math>
| | For example, with 12% Cooldown Reduction from [[Diviner's Kevlar]] and 16% Cooldown Reduction from [[Improved Cooldown]], total cooldown reduction is: |
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| '''Example:'''
| | <math>CR_{Total} = 1 - (1 - 0.12) \times (1 - 0.16) \approx 26%</math> |
| With '''{{ItemData|{{#vardefineecho: Item1|Superior Cooldown}}|CooldownReduction}}''' from {{ItemIcon|{{#var: Item1}}}} and '''{{ItemData|{{#vardefineecho: Item2|Spellslinger}}|CooldownReduction}}''' from {{ItemIcon|{{#var: Item2}}}}:
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| # Convert percentages to decimals: {{ItemData|{{#var: Item1}}|CooldownReduction}} to {{#vardefineecho: Item1Duration|{{#expr: {{#replace: {{ItemData|{{#var: Item1}}|CooldownReduction}}|%|}} / 100}}}} and {{ItemData|{{#var: Item2}}|CooldownReduction}} to {{#vardefineecho: Item2Duration|{{#expr: {{#replace: {{ItemData|{{#var: Item2}}|CooldownReduction}}|%|}} / 100}}}}.
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| # Subtract from 1: (1 - {{#var: Item1Duration}}) = '''{{#expr: 1 - {{#var: Item1Duration}}}}''' and (1 - {{#var: Item2Duration}}) = '''{{#expr: 1 - {{#var: Item2Duration}}}}'''.
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| # Multiply the remainders: {{#expr: 1 - {{#var: Item1Duration}}}} × {{#expr: 1 - {{#var: Item2Duration}}}} = '''{{#vardefineecho: CombinedItemDuration|{{#expr: (1 - {{#var: Item1Duration}}) * (1 - {{#var: Item2Duration}}) round 4}}}}'''.
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| # Subtract from 1: 1 - {{#var: CombinedItemDuration}} = '''{{#expr: 1 - {{#var: CombinedItemDuration}} round 4}}'''.
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| # Total Cooldown Reduction is '''{{#expr: (1 - {{#var: CombinedItemDuration}}) * 100 round 1}}%''', not {{#expr: ({{#var: Item1Duration}} + {{#var: Item2Duration}}) * 100 round 1}}%.
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| == Sources of Ability Cooldown Reduction == | | == Sources of Cooldown Reduction == |
| | Items that reduce the cooldown of all abilities and items: |
| {{Item stat table|Ability Cooldown Reduction}} | | {{Item stat table|Ability Cooldown Reduction}} |
| * {{ItemIcon|Witchmail}} has a passive that reduces the cooldown of a random ability as the player takes [[Spirit Damage]]. | | * {{ItemIcon|Superior Cooldown}} reduces the cooldown of the [[Imbue|imbued]] ability by 32% and of non-imbued abilities by 24%. |
| * {{ItemIcon|Golden Goose Egg}} grants random [[Permanent Buffs]], including Cooldown Reduction.
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| ===Map Spawns===
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| * [[Golden Statue|Golden Statues]] have a chance to drop a permanent Cooldown Reduction buff.
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| * [[Powerup]] runes can provide a temporary Casting buff that provides +'''12'''% to +'''20'''% Cooldown Reduction for 160 seconds (scaling with game time from 5 to 40 minutes).
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| == Item Cooldown ==
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| Item Cooldown is the time it takes for an [[Item]] to be usable again. This includes both [[Active]] and Passive items.
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| [[Charge-Up]] items such as {{ItemIcon|Tankbuster}} and {{ItemIcon|Mercurial Magnum}} are not affected by Item Cooldown Reduction. | | Items that only reduce the cooldown of [[Charges|charged]] abilities: |
| | {{Item stat table|Charge Cooldown Reduction}} |
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| === Sources of Item Cooldown Reduction ===
| | Additionally, [[Golden Statue|Golden Statues]] have a chance to drop a permanent Cooldown Reduction buff. |
| {{Item stat table|Item Cooldown Reduction}}
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| {{Stats}} | | {{Stats}} |