7.40c: Axiom Definitions

Mid-tier pure AGI item. Consistent with STR/INT pricing

Mid-tier pure INT item. Consistent with STR/AGI pricing

Mid-tier pure STR item. Consistent with AGI/INT pricing

Mid-tier pure armor item. Ring of Protection too cheap to be representative

Only pure evasion item. Component for Butterfly, counters physical attacks

Mid-tier pure HP item. Builds into major HP items

Only pure magic resistance item. Basic component for Hood/Pipe builds

Sange minus STR and hp_regen_amp. Remainder divided by slow resist

Basic movement item. Foundation for all boot upgrades

Boots of Speed is the foundational movement item. Converted from flat MS to percent using base MS

Blink Dagger as reference for displacement per unit

Cheapest pure attack speed item. Basic component

Cheapest pure damage item. Basic component for damage builds

Maelstrom minus damage/AS, divided by 110 dmg and 25% chance

Negative stat: gold_per_point will be negative

Moon Shard minus attack speed. Remainder divided by night vision

Cheapest pure HP regen item. Basic component

Only pure lifesteal item. Component for Satanic, Mask of Madness

Cheapest pure mana regen item. Basic component

Spell lifesteal is more expensive than regular lifesteal

Octarine Core minus stats. Remainder divided by cooldown reduction

Cheapest pure mana pool item. Builds into Arcane Boots and major mana items

Aether Lens minus mana and mana regen stats. Remainder divided by cast range

Kaya minus INT and mana regen multiplier. Remainder divided by spell amp

Percentage increase to max mana pool

Expected DPS increase from crit.
Used with custom_stats formula: crit_chance/100 * (crit_multiplier - 100).

Amplifies HP regen

Amplifies mana regen

1% missing HP regen

+1 all stats = +1 STR + +1 AGI + +1 INT. Average of three

Attack speed aura affects multiple heroes, like other auras

Personal HP regen scaled by avg aura targets

Personal mana regen scaled by avg aura targets

Mirror of positive armor aura. Negative g/pt because stat value is negative

Mirror of positive AS aura. Negative g/pt because stat value is negative.
Debuff on enemies = benefit

Same effect as Armor Aura. Different stat name in Assault Cuirass.

Personal armor scaled by avg aura targets

Percentage-based aura: 1% damage = expected_attack_damage/100 flat damage per target

Lifesteal scaled by avg aura targets

Priced as aura_mana_regen (team mana restore). Use with uptime_stats + cooldown

1% heal reduction on enemies, scaled by expected HP regen and avg aura targets

Lower bound: 1% heal reduction >= 1% HP regen amp.
Actual value higher since heal reduction also affects lifesteal, salves, etc.

Single-target heal reduction. No aura multiplier. Spirit Vessel 70%: uptime applied separately.

Physical-only barrier = HP value halved.

1 block = armor equivalent via expected phys damage and armor factor. Chance applied separately.

Same as melee — pipeline applies melee/ranged switchable separately.

1% reflected damage = expected_physical_damage/100 flat damage per hit received.
Halved (x0.5) because reflection only works when being attacked, not always.

For stats stored as positive values but representing armor loss (MoM berserk_armor_reduction).

Personal MS scaled by avg aura targets (Drum of Endurance)

Personal % MS scaled by avg aura targets. For team active buffs (Drums, BoB).

ASSUMPTION: heal amp = 2x HP regen amp

ASSUMPTION: from Sange ratio

Personal magic resist scaled by avg aura targets

AoE slow converted to MS equivalent. Uptime + targets in custom_stat.

Full disable but target invulnerable — can't capitalize

Prevents attacks only — weakest disable type

Silence+mute+disarm+slow. Best item delivery (800 range instant)

Blocks all targeted spells and CC — strongest defensive ability

Reflects targeted spells back + dispel on cast — weaker than immunity

No movement + cancels TP, but can still cast/attack

Spell-only block, doesn't cancel TP

Full lockdown but item stuns have poor delivery

Skadi melee AS slow. Negative in data, inverted formula.

Skadi ranged AS slow. Negative in data, inverted formula.

Slowing enemy = speeding self. Valve stores as negative, invert sign.

Same value as generic move speed. Used for melee/ranged split items.

1% MS converted via flat MS axiom and expected move speed.

Same value as generic move speed. Used for melee/ranged split items.

Temporary MS bonus = bonus_movement_speed. Uptime applied at item level via uptime_stats

Same as phase_movement_speed but for ranged heroes. Uptime applied at item level

AoE magic burst. Same g/pt as HP. AoE multiplied in custom_stat.

Percentage AS, counted same as regular

Per-attack proc damage priced as attack damage. Chance applied separately.

Rapier base damage. ALWAYS active, regardless of mode.

Same value as generic damage. Used for melee/ranged split items.

Same value as generic damage. Used for melee/ranged split items.

Flat magic damage proc. 1 damage = 1 HP removed.
Used with uptime_stats for cooldown-based procs.

Magic/ability burst damage. 1 damage = 1 HP removed, same gold value

Persistent AoE DPS scaled by avg targets and uptime.

Mana burn = physical damage per hit + mana drain. Priced as bonus_damage

Illusion damage as effective bonus damage.
Custom_stat computes: %dmg × count × uptime / survivability × expected_dmg.

Intelligence-based damage. Valued same as regular attack damage

Switchable attribute (STR/AGI/INT), not all_stats! (Power Treads)

Mana regen value minus HP drain cost, halved for temp mana.

For stats stored as positive values but representing HP drain (Armlet unholy_health_drain).

Restores HP and mana equally per charge. Value = HP regen + mana regen axioms.

Average game time / charge restore time = uses per game

1% mana cost reduction ≈ 1% more effective mana pool