Experience



Experience, commonly abbreviated as Exp or XP, is a measure of progress in a certain skill. It is usually obtained by performing tasks related to that skill. After gaining a certain amount of experience, players will advance to the next level in that skill, which can result in new abilities, items and other achievements.

Gaining Experience






Experience in a skill is obtained by performing a task related to that skill. Experience can also be gained by performing a task unrelated to the skill, such as completing a quest, participating in a random event, or playing a activity or miniquest.


 * When a player rubs a lamp from a random event gift, the player gains experience equal to the level of the skill they select times 10. (E.g. a player's Woodcutting level is 50; they rub the lamp, choose Woodcutting, and receive 500 Woodcutting experience.)
 * When a player reads the Book of knowledge from the Surprise Exam random event, they receive to their chosen skill their current level times 15. (E.g. if a player's Attack level is 50, they would receive 750 experience from reading the book if they chose Attack.)

Players who help others using the Assist System can earn a maximum of 30,000 total experience every 24 hours, although the experience may be shared among many skills. Some skills cannot be shared through the Assist System (namely gathering and combat skills - Attack and Mining).

Players can continue receiving experience after level 99 in a skill: up to a maximum of 200 million experience. Once a player reaches this limit, they can continue using the skill but receive no additional experience. The maximum total experience is 5 billion (5,000,000,000) when a player has 200 million experience in all 25 skills. Currently, no player has reached this.

Until the Skills Interface update (on 12 November 2007), players with a level 99 skill could view the experience it would take them to earn level 100. However, even when "level 100" was "reached", the actual level remained at 99.

The experience gain rates one may obtain varies very much between skills. For example, with 99 agility it is difficult to get much over 70k agility xp per hour without brawling gloves, while making summoning pouches can give over 800k summoning xp per hour.

Exponential Growth
The amount of experience needed for the next level increases by approximately 10% each level. However, to get the exact average for the percentage increase in each level from 1 to 120, you need to solve an polynomial expression:

$$83x^{119}=104273167$$

83 is the experience needed to get to level two, 119 is the amount of levels you have to go through to get to level 120, and 104,273,167 is the experience obtained when you get to level 120. When solved for x, the answer is:

$$x= {}^{119}\sqrt{\frac{104273167}{83}}$$

Which becomes approximately 1.12526003489, or about a 12.526% increase on average.

For example, 83 experience is required for advancement to level 2, while 91 experience is then required for advancement to level 3. The difference between 83 and 91 is 8. 10% of 83 is 8.3, which is approximately 8.

Note that a 12.526% growth factor may seem slow, but, as with all exponential growth, it expands rapidly to a massive 13,034,431 for level 99, and then to 104,273,163 experience needed for level 120. Level 85 requires one quarter of the experience needed for Level 99 and Level 92 is the halfway mark, requiring 6,517,253 experience. This clearly demonstrates the experience gap that grows rapidly at higher levels. To gain 7 levels, one must gain all of the experience they gained to get to their starting level; thus, 92-99 is the same as 1-92.

The varying amount of experience needed to get from one level to another can cause some surprising experience rates to get from one level to another. For example, getting from level 98 to 99 is equal to getting from level 1 to level 75. However, it is worth noting that higher level activities in many cases award more experience than lower level ones, evening out the actual amount of time spent levelling at high levels compared to low levels a little.

Starting from level 28, the experience of getting to next level is approximately equal to 12.526% of experience of current level. It is still decreasing though, but much slower than the rate before level 28. Please do not mix this with the 12.526% growth rate with "Next level needed" experience. The fact is that when the total experience tries to catch up with "Next level needed" experience, it finally reaches the stable rate of 1:12.526 in ratio.

Over level 20, it is observed that for about 23 level increase about 10 times the original experience is needed. Also, at around higher levels, gaining 7 levels is about the same as doubling your current experience (or gaining all the experience you already had for a second time).

Attack, Strength, Defence, Ranged
To calculate the experience gain for combat skills above, a simple equation can be used:
 * Experience earned $$ = \frac {4 \times d} {10} $$
 * where d = damage dealt to an opponent

This equation does not work for some opponents such as random events which give significantly less experience.

Magic
To calculate the experience gain for the casting combat spells in Magic, another simple equation can be used:
 * Experience earned $$ = b\times n+\frac {2 \times d} {10} $$
 * where b = base experience of the combat spell cast
 * and n = number of spells cast
 * and d = damage dealt to an opponent in casting spells

For curses and other spells not dealing any damage, treat d as 0.

Constitution
To calculate the experience gain for Constitution, the following simple equation can be used:
 * Experience earned $$ = \frac {4 \times d} {15} $$
 * where d = damage dealt to an opponent

Monster Experience
An upper bound to the number of monsters required to level up a combat skill can be calculated as follows:
 * Number of monsters $$ = \frac {E} {0.4 \times L} $$
 * where E = experience required to level up
 * and L = monster's number of life points

Note that this only gives an upper bound because monsters may recover some life points during the battle, in which case more than L life points are dealt.

Equations
The equation below calculates exactly the minimum experience needed for a given level:


 * Experience Required $$ = \left \lfloor \frac{1}{4}\displaystyle\sum_{n = 1}^{L-1} \left\lfloor n + 300 \times 2^{n/7} \right\rfloor \right\rfloor $$, where L = current skill level
 * Note that $$\lfloor x\rfloor$$ means the greatest integer less than or equal to x.

In computer code this could be written as (an example is given using the PHP language):

function getXP($lvl) {   $total = 0; for ($i = 1; $i < $lvl; $i++) {       $total += floor($i + 300 * pow(2, $i / 7)); }

return floor($total / 4); }

And in JAVA: public int getXPByLevel(final int level) { int xp = 0; for(int level2 = 1; level2 < level + 1; ++level) { xp += (int) (Math.pow(2, level2 / 7) * 300 + level2); }   return xp / 4; }

The above equation can be approximated with minimal rounding error as:


 * Approximate Experience Required $$ = \sum_{n = 1} ^ {L - 1} \left( \frac {n} {4} + 75 \times 2 ^ {n/7} \right) $$, where L = skill level

This approximation can then be used to find the maximum additional experience required to level up:


 * Additional Experience Required to Level Up $$ = \frac {L} {4} + 75 \times 2 ^ {L/7} $$, where L = current level

Example
You want to find the experience that it would take to level up from 28 Strength to 29 Strength:


 * Additional Experience Required to Level Up $$ = \frac { \left( 28 \right) } {4} + 75 \times 2 ^ { \left( 28 \right) /7} = 7 + 75 \times 2 ^ {4} = 7 + 75 \times 16 = 1207 $$

So it would take at most 1207 experience points to get from level 28 to level 29.

Table
The following table shows the relationship between level, the experience required for that level, and the experience difference from the previous level:

Levels 100-120
On 12 April 2010, Jagex added the Dungeoneering skill, which has a maximum level of 120, rather than the maximum for previous skills, which was 99.

Graph




For higher levels, to raise 23 levels about 10 times the original experience is needed.

Also, 200,000,000 experience would be the equivalent to level 126 in a given skill.

Gaining experience summary
While the main method of gaining XP is practice in the skill (including combat) substantial amounts of XP are available from other sources.

One off

 * Quests and related one off events award a total of
 * Achievement diaries offer a total of XP, 200,000 XP for the Ardougne elite tasks alone.
 * Opening the balloon system up gives 8,000 firemaking XP
 * Chompy champion gives 30,000 ranged XP

Experience awards from random events

 * Lamps would award experience equal to 10 times the level of the chosen skill, giving 10-1200 experience.
 * Book of Knowledge would award experience equal to 15 times the level of the chosen skill, giving 15-1800 experience.

Distractions and Diversions
(You can gain more penguin points per week upon the completion of the Cold War quest and The Hunt for Red Raktuber)
 * The maximum experience you can gain from the circus a week is 52,922.5 (around 17,710 Ranged, 25,006 Magic and 10,531 Agility).
 * From Shattered Heart up to 9,703 per non-combat skill per week for an absolute maximum of 0 XP per week, and 0 XP over the time to build a full statue.
 * From Tears of Guthix the maximum seen is about 12,000 per seven days
 * From Penguin Points points x 25 x skill level per week (maximum 48,000xp for finding all penguins and using the points on level 120 dungeoneering).

Boosts

 * Various sacred clay and other degradable items will give XP boosts, generally they require more time to earn than is saved, but might make financial sense.
 * A Penance Horn from Barbarian Assault can be charged by playing and used to get double XP in either Agility, Firemaking or Mining.
 * Double smithing XP smelting gold bars with the Goldsmithing gauntlets
 * Extra woodcutting XP can be earned by wearing the lumberjack clothing
 * Extra firemaking XP can be earned by wearing the Flame Gloves and Ring of Fire (and a Forge regent will give another 10 per log).

Special events

 * From 12 March-15 2010 there was an event called Bonus XP weekend.