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[[File:Bullets per sec icon.png|64px]] '''Fire Rate''', also known as '''Bullets per sec''', is a stat that [[heroes]] start with and can obtain more through [[items]]. Fire rate determines the amount of [[ammo]] that will be fired by the weapon per second.

A permanent Fire Rate buff can be obtained from [[Gold Urn]]s.

{{Stats}}
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-{{plink|Fire Rate}}, also known as '''Bullets Per Second''', is a stat that
+[[File:Bullets per sec icon.png|64px]] '''Fire Rate''', also known as '''Bullets per sec''', is a stat that [[heroes]] start with and can obtain more through [[items]]. Fire rate determines the amount of [[ammo]] that will be fired by the weapon per second.
-determines the amount of [[ammo]] that will be fired by the weapon per second.
-Its inverse is called ''gun cycle time'', which instead measures
-'''seconds per bullet'''.
-Several heroes have [[abilities]] that increase their Fire Rate to shoot faster,
+A permanent Fire Rate buff can be obtained from [[Gold Urn]]s.
-and it can also be decreased, primarily through enemy [[items]]. All bonuses and
-slows are combined into a single '''total modifier''', which is then applied to
-the hero's base Fire Rate.
-== Calculation ==
+{{Stats}}
-=== Total modifier ===
-Bonuses and slows are combined under separate rules: positive bonuses are additive, while slows are multiplicative.
-:<math>\text{Total Modifier} = (\text{Sum of Bonuses}) - \left(1 - \text{Total Slows}\right)</math>
-Where:
-* '''Sum of Bonuses''' = all positive bonuses added together (e.g., {{#tag:math|{{#expr: {{DataProp|Ricochet|BonusFireRate}}/100 }} + {{#expr: {{DataProp|Swift Striker|BonusFireRate}}/100 }} }})
-* '''Total Slows''' = the result of multiplying the remaining values of each slow: <math>(1 - \text{Slow}_1) \times (1 - \text{Slow}_2) \times \dots</math>
-Any total modifier lower than '''-50%''' is capped at that value.
-=== Applying the modifier ===
-The total modifier is not applied the same way in both directions. Its effect depends on its sign:
-* If the total modifier is '''positive''', it increases Fire Rate directly:
-:<math>\text{Final Fire Rate} = \text{Base Fire Rate} \times (1 + \text{Total Modifier})</math>
-* If the total modifier is '''negative''', it instead increases the gun cycle time, the interval between shots:
-:<math>\text{Final Fire Rate} = \frac{\text{Base Fire Rate}}{1 + |\text{Total Modifier}|}</math>
-Because a negative modifier lengthens the interval rather than shortening the rate, it reduces the number of bullets fired per second by less than its stated value:
-* A '''-10%''' modifier leaves '''{{#expr: 100 / 1.1 round 1}}%''' of base Fire Rate.
-* A '''-25%''' modifier leaves '''{{#expr: 100 / 1.25 round 1}}%''' of base Fire Rate.
-* A '''-50%''' modifier, the maximum, leaves '''{{#expr: 100 / 1.5 round 1}}%''' of base Fire Rate, a reduction of only {{#expr: 100 - 100 / 1.5 round 1}}% in bullets per second.
-Positive modifiers have no equivalent discrepancy: a +50% modifier grants a full 50% more bullets per second. The in-game UI reports the total modifier itself, not the resulting change in bullets per second.
-=== Examples ===
-==== Combined bonuses and slows ====
-For an example with multiple sources:
-* '''+{{DataProp|Ricochet|BonusFireRate}}%''' Fire Rate from {{ItemIcon|Ricochet}}
-* '''+{{DataProp|Swift Striker|BonusFireRate}}%''' Fire Rate from {{ItemIcon|Swift Striker}}
-* '''-{{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}%''' Fire Rate Slow from {{HeroIcon|Sinclair}}'s {{AbilityIcon|Vexing Bolt}}
-* '''-{{DataProp|Suppressor|FireRateSlow}}%''' Fire Rate Slow from an enemy's {{ItemIcon|Suppressor}}
-First, the groups are calculated separately:
-* '''Bonuses:''' {{#tag:math|{{#expr: {{DataProp|Ricochet|BonusFireRate}}/100 }} + {{#expr: {{DataProp|Swift Striker|BonusFireRate}}/100 }} {{=}} {{#expr: ({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 }} }}
-* '''Slows:''' {{#tag:math|(1 - {{#expr: {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100 }}) \times (1 - {{#expr: {{DataProp|Suppressor|FireRateSlow}}/100 }}) {{=}} {{#expr: 1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100 }} \times {{#expr: 1 - {{DataProp|Suppressor|FireRateSlow}}/100 }} {{=}} {{#expr: (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100) }} }}
-They are then combined into the total modifier:
-:{{#tag:math|\text{Total Modifier} {{=}} {{#expr: ({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 }} - (1 - {{#expr: (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100) }}) {{=}} {{#expr: ({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 }} - {{#expr: 1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100) }} {{=}} {{#expr: (({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 - (1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100))) round 4 }} }}
-Because the total modifier is negative, it is applied to the gun cycle time:
-:{{#tag:math|\text{Final Fire Rate} {{=}} \frac{\text{Base Fire Rate} }{1 + {{#expr: abs(({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 - (1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100))) round 4 }} } {{=}} {{#expr: (1 / (1 + abs(({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 - (1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100))))) round 3 }} \times \text{Base Fire Rate} }}
-The hero therefore fires '''{{#expr: ((1 - 1 / (1 + abs(({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 - (1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100))))) * 100) round 1 }}%''' fewer bullets per second, while the in-game UI displays the total modifier of '''{{#expr: (({{DataProp|Ricochet|BonusFireRate}} + {{DataProp|Swift Striker|BonusFireRate}})/100 - (1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100))) * 100 round 0 }}%''', rounded to the nearest whole number.
-==== Maximum slow reduction ====
-For an example with only slows applied:
-* No positive Fire Rate bonuses (0)
-* '''-{{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}%''' Fire Rate Slow from {{HeroIcon|Sinclair}}'s {{AbilityIcon|Vexing Bolt}}
-* '''-{{DataProp|Suppressor|FireRateSlow}}%''' Fire Rate Slow from an enemy's {{ItemIcon|Suppressor}}
-* '''-{{DataProp|Rusted Barrel|FireRateSlow}}%''' Fire Rate Slow from an enemy's {{ItemIcon|Rusted Barrel}}
-The calculation is:
-:{{#tag:math|0 - (1 - ({{#expr: 1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100 }} \times {{#expr: 1 - {{DataProp|Suppressor|FireRateSlow}}/100 }} \times {{#expr: 1 - {{DataProp|Rusted Barrel|FireRateSlow}}/100 }}))}}
-:{{#tag:math|0 - (1 - {{#expr: (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100) * (1 - {{DataProp|Rusted Barrel|FireRateSlow}}/100) }}) {{=}} {{#expr: (0 - (1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100) * (1 - {{DataProp|Rusted Barrel|FireRateSlow}}/100))) round 4 }} }}
-This results in a calculated modifier of '''{{#expr: (0 - (1 - (1 - {{DataProp|Vexing Bolt|Upgrades.1.FireRateSlow}}/100) * (1 - {{DataProp|Suppressor|FireRateSlow}}/100) * (1 - {{DataProp|Rusted Barrel|FireRateSlow}}/100))) * 100 round 2 }}%'''. Due to the cap, the value is raised to the maximum of '''-50%''', which is then applied to the gun cycle time:
-:{{#tag:math|\text{Final Fire Rate} {{=}} \frac{\text{Base Fire Rate} }{1 + 0.5} {{=}} {{#expr: 1 / 1.5 round 3 }} \times \text{Base Fire Rate} }}
-Even under the maximum possible slow, the hero still fires two thirds of the bullets per second of an unslowed hero.
-== Base Fire Rate ==
-Values referenced from [[Hero Comparison Table]].
-{{#invoke:HeroDataArrays|heroRoundsPerSecondTable}}
-Notes:
-* Due to a bug, {{HeroIcon|The Doorman}}'s and {{HeroIcon|Paige}}'s weapons have incorrect fire rate values listed in the game UI. The values listed here are accurate.
-* {{HeroIcon|McGinnis}}' and {{HeroIcon|Victor}}'s weapons have a wind-up time before reaching maximum fire rate.
-== Sources ==
-=== Fire Rate ===
-{{Item stat table|Fire Rate}}
-* {{ItemIcon|Burst Fire}} additionally increases Fire Rate by +{{#invoke:ItemData|get_prop|Burst Fire|ActivatedFireRate}}% for {{#invoke:ItemData|get_prop|Burst Fire|AbilityDuration}} seconds after hitting an enemy hero.
-* {{ItemIcon|Heroic Aura}}'s Fire Rate bonus is doubled for nearby player minions within its {{#invoke:ItemData|get_prop|Heroic Aura|ActiveRadius}} radius.
-* {{ItemIcon|Golden Goose Egg}} grants random [[Permanent Buffs]], including Fire Rate.
-==== Map Spawns ====
-* [[Golden Statue]]s can provide a permanent increase: +'''{{MiscData|firerate_permanent_pickup|Modifer|ScriptValues|1|value}}'''% Fire Rate before 10 minutes, +'''{{MiscData|firerate_permanent_pickup_lv2|Modifer|ScriptValues|1|value}}'''% Fire Rate after 10 minutes, and +'''{{MiscData|firerate_permanent_pickup_lv3|Modifer|ScriptValues|1|value}}'''% Fire Rate after 30 minutes.
-* [[Powerup]] runes can provide a temporary Gun buff that provides +'''{{MiscData|gun_powerup_pickup|Modifer|ModifierValues|1|valueMin}}'''% to +'''{{MiscData|gun_powerup_pickup|Modifer|ModifierValues|1|valueMax}}'''% Fire Rate for {{MiscData|casting_powerup_pickup|Modifer|Duration}} seconds (scaling with game time from 5 to 40 minutes).
-=== Fire Rate Slow ===
-{{Item stat table|Fire Rate Slow}}
-{{Stat Navbox}}
-[[Category:Stats]]