Experience Table

From Melvor Idle

Note: Enabling "Virtual Levels" in the Settings will show the player if they would be on a level higher than 99, even though this gives no benefits. Pet drop rate calculations are based on your Virtual Level, however that calculation will use your Virtual Level regardless of the setting.

The experience difference between level [math]L-1[/math] and level [math]L[/math] is approximately [math]\left\lfloor \frac{1}{4} \left( L-1+300\times 2^{\frac{L-1}{7}} \right) \right\rfloor[/math]. The table below shows this experience difference for each level and also the cumulative experience from level 1 to level [math]L[/math].

The formula to calculate the amount of experience needed to reach level [math]L[/math] is:

[math]\text{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor[/math]

If the floor functions are ignored, the resulting summation can be found in closed form to be:

[math]\text{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)[/math]

The approximation is very accurate, always within 100 experience but usually less than around 10 experience.

Melvor Idle version v0.22.1 (Released: 6th October 2021)
Attack (skill).svg Attack
Strength (skill).svg Strength
Defence (skill).svg Defence
Hitpoints (skill).svg Hitpoints
Ranged (skill).svg Ranged
Magic (skill).svg Magic
Prayer (skill).svg Prayer
Slayer (skill).svg Slayer
Woodcutting (skill).svg Woodcutting
Fishing (skill).svg Fishing
Firemaking (skill).svg Firemaking
Cooking (skill).svg Cooking
Mining (skill).svg Mining
Smithing (skill).svg Smithing
Thieving (skill).svg Thieving
Farming (skill).svg Farming
Fletching (skill).svg Fletching
Crafting (skill).svg Crafting
Runecrafting (skill).svg Runecrafting
Herblore (skill).svg Herblore
Agility (skill).svg Agility
Summoning (skill).svg Summoning
Alternative Magic (skill).svg Alternative Magic
Other:Man (thieving).svg Beginners Guide Guides.svg Guides Bank Slot (upgrade).svg Bank Combat.svg Combat Mastery.svg Mastery Coins.svg Money Making Shop.svg Shop Easter.svg Easter Eggs Finn, the Cat (pet).png Pets Golden Golbin (pet).svg Golbin Raid
Reference Tables: Items, Equipment, Experience Table, Upgrading Items, Dungeons, Chest Loot Tables, Monsters, Monster Loot Tables