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Leech

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Life leech restores over time an amount of life relative to damage inflicted on an enemy. Likewise, mana leech restores mana in the same way.


Leech mechanics in The Awakening

In the Awakening expansion the leech mechanics was changed with the goal to make it harder to leech against a single enemy. Earlier the leech recovered at a constant rate, this method does not take into account how many enemies that were hit by the skill. The leech mechanic was therefore changed to vary how fast the leech recovered depending on how many enemies were hit; with more targets hit by the skill the faster the character healed from the leech.

The total amount of life or mana leeched without Vaal Pact can be described as

HP(t) = r * t

where r is the leech recovery rate and t is the time. The leech recovery rate, r, varies depending on how many enemies have been hit and how many times the enemies have been hit. [1]

Recovery rate

The leech recovery rate r is given by

r = p * n * q * (1 + m)

where p is the character's maximum life (for life leech) or mana (for mana leech), n is the number of active leech instances, q is the Base Leech Rate and m is the sum of all the "X% increased (or reduced) Life/Mana Leeched per second" modifiers.

There is a upper limit of the leech recovery rate which is defined as

rmax = p * (qmax + mmax)

where qmax is the Base Maximum Leech Rate and mmax is the sum of all the "+X% of maximum Life/Mana per second to maximum Life/Mana Leech rate" modifiers.

If r > rmax those values will be substituted with rmax. The total amount of active leech instances allowed, ntot, can be solved by

r = rmax
p * ntot * q * (1 + m) = p * (qmax + mmax)

solving for ntot gives

ntot = (qmax + mmax) / (q * (1 + m))


Modifiers that alters the leech recovery rate increases the value of Life/Mana you're gaining per second for each leech effect. However, it does not affect the duration, tdur, of the leech effects, meaning that more total life/mana will be gained from each leech instance as a result.[2] This also implies that by increasing the Life/Mana Leeched per seconds gives a larger total of life leeched compared to Vaal Pact.

There are only a couple of ways for these factors to be altered, besides the passive tree:[3][2]

  • The of Smothering modifier for maps slows life and mana leech recovery rate by 50%.
  • For life leech by a skill supported by the Life Leech gem.
  • Vorici's master modifier also offers "X% increased Life Leeched per second".


The table below displays values of the base leech rates.[2]

Symbol Value Description Unit
q 2 %
2 %
Base Life Leech Rate
Base Mana Leech Rate
s-1
s-1
qmax 20 %
20 %
Base Maximum Life Leech Rate
Base Maximum Mana Leech Rate
s-1
s-1

Leech duration

The leech recovery duration in seconds is given by

tdur = d * l / r0

where d is the damage inflicted on the enemy, l is the total amount of leech and

r0 = p * n * q

r0 is the recovery rate without any modifiers. If r0 > r0max those values will be substituted with rmax and

r0max = p * qmax


To be able to sustain the max recovery rate, rmax, against a single target the total amount of instances allowed needs to be active at all times, ntot. The duration with ntot instances is

tmax = d * l / r0max

The attack time between each hit, tatt, needs to be

tatt ≤ tmax / ntot

or

tatt ≤ d * l * q * (1 + m)^2 / (p * (qmax + mmax)^2)

Examples

When using skills such as Dual Strike linked with Melee Splash several enemies are hit at once, the leech rate will vary considerably depending on how many enemies are hit. The character used in the example has the following stats:

p = 5000 maximum life
d = 1000 damage to enemy
l = 1 % life leech

1 Enemy hit

n = 1 leech instances/Enemies
m = 0% increased Life Leeched per second
mmax = 0% of maximum Life per second to maximum Life Leech rate

The recovery rate is:

r = n * p * q * (1 + m) = 1 * 5000 * 0.02 * (1 + 0) = 100 HP/sec

Make sure that the recovery rate doesn't exceed the maximum recovery rate which is

rmax = p * (qmax + mmax) = 5000 * (0.2 + 0) = 1000 HP/sec

The limit has not been exceeded, meaning that no substitution is necessary.

The time it takes to recover the total amount of life leeched is

tdur = d * l / r0 = 1000 * 0.01 / (1 * 5000 * 0.02) = 0.1 seconds

which gives the total life leeched

HP(tdur) = r * tdur = 100 * 0.1 = 10 Life

5 enemies hit at once

n = 5 leech instances/Enemies
m = 0% increased Life Leeched per second
mmax = 0% of maximum Life per second to maximum Life Leech rate

The recovery rate is:

r = n * p * q * (1 + m) = 5 * 5000 * 0.02 * (1 + 0) = 500 HP/sec

Make sure that the recovery rate doesn't exceed the maximum recovery rate which is

rmax = p * (qmax + mmax) = 5000 * (0.2 + 0) = 1000 HP/sec

The limit has not been exceeded, meaning that no substitution is necessary.

The time it takes to recover the total amount of life leeched is

tdur = d * l / r0 = 1000 * 0.01 / (5 * 5000 * 0.02) = 0.02 seconds

which gives the total life leeched

HP(tdur) = r * tdur = 500 * 0.02 = 10 Life

11 enemies hit at once

n = 11 leech instances/Enemies
m = 0% increased Life Leeched per second
mmax = 0% of maximum Life per second to maximum Life Leech rate

The recovery rate is:

r = n * p * q * (1 + m) = 11 * 5000 * 0.02 * (1 + 0) = 1100 HP/sec

Make sure that the recovery rate doesn't exceed the maximum recovery rate which is

rmax = p * (qmax + mmax) = 5000 * (0.2 + 0) = 1000 HP/sec

The limit has been exceeded, therefore the recovery rate needs to be changed to r = 1000 HP/sec.

The time it takes to recover the total amount of life leeched is

tdur = d * l / r0max = 1000 * 0.01 / (5000 * 0.2) = 0.01 seconds

which gives the total life leeched

HP(tdur) = r * tdur = 1000 * 0.01 = 10 Life

Sources of leech

Sources of leech include support gems, passive skills, and modifiers on equipment.

Name Bonuses
Life Leech
  • 0.4% of Physical Attack Damage Leeched as Life
Life Leech and Life Leeched per Second
  • 0.2% of Physical Attack Damage Leeched as Life
  • 10% increased Life Leeched per second
Life Leech and Maximum Life Leech Rate
  • 0.2% of Physical Attack Damage Leeched as Life
  • +3% of maximum Life per second to maximum Life Leech rate
Blood Drinker
  • 8% increased maximum Life
  • 0.4% of Physical Attack Damage Leeched as Life
Soul Raker
  • 18% increased Physical Damage with Claws
  • 1.2% of Physical Damage Dealt with Claws Leeched as Life
  • 0.4% of Physical Damage Dealt with Claws Leeched as Mana
Lust for Carnage
  • 0.4% of Physical Attack Damage Leeched as Life
  • +2 Life gained for each Enemy hit by your Attacks
  • 15% increased Life Leeched per second
Hematophagy
  • 0.4% of Physical Attack Damage Leeched as Life
  • +5% of maximum Life per second to maximum Life Leech rate
  • 20% increased Life Leeched per second
  • 15% increased Damage while Leeching
Vitality Void
  • 0.4% of Physical Attack Damage Leeched as Life
  • +5% of maximum Life per second to maximum Life Leech rate
  • 10% increased Life Leeched per second

Name Bonuses
Mind Drinker
  • +15 to maximum Mana
  • 16% increased maximum Mana
  • 0.4% of Physical Attack Damage Leeched as Mana

These keystone passive are related, but don't add any life leech as a percentage of physical damage.

The Vaal Pact Keystone will allow life leech to apply immediately at the cost of losing life regeneration. Ghost Reaver applies life leech to energy shield instead of life.

Name Bonuses
Vaal Pact
  • Life Leech applies instantly
  • Life Regeneration has no effect
Ghost Reaver
  • Life Leech applies to Energy Shield instead of Life

Immunity to leech

A player can become immune to being life leeched from by enemies through allocating the Bloodless notable passive skill.

Immunity can also be achieved by equipping certain unique items.

NameModifiers
Sin Trek
+(20 to 30) to Dexterity
+(20 to 30) to Intelligence
(80 to 100)% increased Evasion Rating
+(70 to 100) to maximum Energy Shield
30% increased Movement Speed
Enemies Cannot Leech Life From You
Mindspiral
(10 to 15)% increased Cold Damage
(10 to 15)% increased Lightning Damage
+(100 to 150) to maximum Mana
Enemies Cannot Leech Mana From You
(5 to 10)% of Damage taken Gained as Mana when Hit
Cannot Leech Mana
Deidbell
+(20 to 30) to Strength
+(20 to 30) to Dexterity
+(200 to 300) to Armour
20% increased Melee Damage
Cannot Leech when on Low Life

References

  1. GGG_Mark (June 20, 2015). "Vitality Void: Leech Cluster Thread". Path of Exile subreddit. Retrieved July 20, 2015.
  2. 2.0 2.1 2.2 GGG_Neon (May 18, 2015). "Upcoming changes to Leech Thread". Path of Exile Forum. Retrieved July 20, 2015.
  3. Mark_GGG (March 4, 2014). "Leech: GGG clarify please!". Official Path of Exile Forums. Retrieved March 6, 2014.
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