Thread: The actual experience formula for Gen.5

From poccil, on Smogon University.

Exp. Points = (sqrt(X)*(X*X))*Z/(sqrt(Y)*(Y*Y))+1

where:

• X = opponent's level + opponent's level + 10
• Y = opponent's level + participant's level + 10
• Z = (opponent's base experience * opponent's level / 5), rounded down. If this is a Trainer battle, Z is multiplied by 1.5 and rounded down. Then, if at least one Pokémon in the player's party is holding Exp. Share, Z is halved and rounded up. Z is then divided evenly, rounded down, among all participants, and again among all Pokémon in the player's party holding Exp. Share. (Thus a Pokémon can earn more Exp. Points both by being a participant and by holding Exp. Share.)
• "sqrt(N)" means "the square root of N". The result of the square root function is not rounded and is accurate to the nearest 1/4096.

If a Pokémon has a different 32-bit Trainer ID and/or OT name from the player's, the experience it earns is multiplied by 1.5, or if it also comes from a different language version from the player's, by 6963/4096, and rounded to the nearest whole number. If the Pokémon is holding Lucky Egg, the experience it earns is multiplied by 1.5 and rounded to the nearest whole number. If the player received the "Exp. Point Power" from another player, and that power is active, the experience the Pokemon earns is multiplied by the following ratios and rounded down:

Power ↓: 50/100; Power ↓↓: 66/100; Power ↓↓↓: 80/100; Power ↑: 120/100; Power ↑↑: 150/100; Power ↑↑↑, Power S, Power MAX: 200/100.

Apparently, the formula involves powers to the 2.5, which are really strange.

Here's the formula, ready for placing onto Bulbapedia:



(Note: This formula does not include the EXP. Power thing that poccil was talking about.)

We'll also have to update the EXP. example, and the fact that the maximum is not 1,581,409 as predicted with the old formula but instead 228,985. Any news on when server stress will be going down?

No news as far as I'm aware. Hopefully soon though - I like locking you guys out as much as you like being locked out.

Oh, BTW, have some wiki-patch instructions for editing the page:

Find:
The base experience yield of Zekrom is 306, meaning that a level 62 Zekrom will normally yield 3794 experience points, when defeated by another Pokémon at level 62. However, this Venusaur is at level 55, meaning that it will yield 4260 experience points. The international trade multiplies this by 1.7, giving 7242, and the constant of 1 is added, meaning that this Zekrom will yield a total of 7243 experience points.

Replace with:
The base experience yield of Zekrom is 306, meaning that a level 62 Zekrom will normally yield 3794 experience points, when defeated by another Pokémon at level 62. However, this Venusaur is at level 55, meaning that it will yield 4338 experience points. The international trade multiplies this by 1.7, giving 7375, and the constant of 1 is added, meaning that this Zekrom will yield a total of 7376 experience points.


Find:
* The highest possible amount of experience points that can be gained in a single battle is 1,581,409. This can be done by defeating a level 100 {{p|Blissey}} in a Trainer battle, using an internationally traded Pokémon at level 1 that is holding a {{DL|Experience-affecting item|Lucky Egg}}. This means that given these conditions, a Pokémon could technically advance from level 1 all the way to level 100 in a single battle (except for Pokémon in the Fluctuating group, which need 1,640,000 experience at level 100, while 1,581,409 experience points would bring them to level 99). <!-- Calculated using the following: a = 1.5, t = 1.7, b = 608, e = 1.5, L = 100, s = 1, L_p = 1 - may be off by a few points. -->

Replace with:
* The highest possible amount of experience points that can be gained in a single battle is 228,985. This can be done by defeating a level 100 {{p|Blissey}} in a Trainer battle, using an internationally traded Pokémon at level 1 that is holding a {{DL|Experience-affecting item|Lucky Egg}}. This means that given these conditions, a Pokémon could technically advance from level 1 all the way to level 65 in a single battle, given that it was in the Fast experience group. <!-- Calculated using the following: a = 1.5, t = 1.7, b = 608, e = 1.5, L = 100, s = 1, L_p = 1 - may be off by a few points. -->
** A Pokémon in the Erratic experience group would advance to level 64.
** A Pokémon in the Medium Fast or Medium Slow experience group would advance to level 61.
** A Pokémon in the Fluctuating experience group would advance to level 57.
** A Pokémon in the Slow experience group would advance to level 56.

Originally Posted by Kairyuu

Replace with:
* The highest possible amount of experience points that can be gained in a single battle is 228,985. This can be done by defeating a level 100 {{p|Blissey}} in a Trainer battle, using an internationally traded Pokémon at level 1 that is holding a {{DL|Experience-affecting item|Lucky Egg}}. This means that given these conditions, a Pokémon could technically advance from level 1 all the way to level 65 in a single battle, given that it was in the Fast experience group. <!-- Calculated using the following: a = 1.5, t = 1.7, b = 608, e = 1.5, L = 100, s = 1, L_p = 1 - may be off by a few points. -->
** A Pokémon in the Erratic experience group would advance to level 64.
** A Pokémon in the Medium Fast or Medium Slow experience group would advance to level 61.
** A Pokémon in the Fluctuating experience group would advance to level 57.
** A Pokémon in the Slow experience group would advance to level 56.

Of course you should double all the EXP numbers in this paragraph since the Exp. Point Power can technically have you gaining twice those numbers.

As long as the EXP. Point Power doesn't exist on Bulbapedia yet, I won't insert that in.

Although, I could probably make another patch.

GEN V? G..gold and silver aren't out yet, and we're conspiring Gen V?!

What is Gen . 5?

Gen.5 is a hypothetical fifth "generation" of Pokémon games. Red and Blue are the first "generation", and Gold and Silver are the second "generation", because they were released together.

Yeah yeah I know that but Gen 2. isn't even out yet..

Also, a new bit of trivia that arises from this formula:

The theoretical limit of the level difference multiplier is about 5.65×. As ''L'' approaches infinity, the limit of [[File:ExpGen5LevelModifier.png]] is equal to 2^2.5, assuming that L_p is held constant. The highest possible multiplier in-game is [[File:HighestMultiplier.png]], or about 4.46×, when a level 1 Pokémon defeats a level 100 Pokémon.

The ''minimum'' limit is zero - as ''L_p'' approaches infinity, the limit of [[File:ExpGen5LevelModifier_wo25.png]] is equal to 0 (assuming that ''L'' is constant), and 0^2.5 = 0. The lowest possible multiplier in-game is about 0.003×, when a level 100 Pokémon defeats a level 1 Pokémon.

According to poccil's post, Lucky Egg and trade multipliers are applied after the +1. Since I'm not sure of the easiest way to post images on this forum, I have instead created the repaired formula on Wikipedia's sandbox.

Regarding EXP power, this seems to be one of the Pass Powers obtained from Entralink (see Serebii's page on Pass Powers).

As for wiki patching:

Zekrom vs. Venusaur section:
[...] However, this Venusaur is at level 55, meaning that it will yield 4338 experience points. The constant of 1 is added, giving 4339, and the international trade multiplies this by 1.7, meaning that this Zekrom will yield a total of 7376 experience points.

Trivia section: (note that this includes the EXP power calculation; if excluding it the current patch is acceptable)
* The highest possible amount of experience points that can be gained in a single battle is 457,970. This can be done by defeating a level 100 {{p|Blissey}} in a Trainer battle, using an internationally traded Pokémon at level 1 that is holding a {{DL|Experience-affecting item|Lucky Egg}}, with EXP Power +++, S or MAX active. This means that given these conditions, a Pokémon could technically advance from level 1 all the way to level 87 in a single battle, given that it was in the Erratic experience group. <!-- Calculated using the following: a = 1.5, t = 1.7, b = 608, e = 1.5, L = 100, s = 1, L_p = 1, p = 2, may be off by a few points -->
** A Pokémon in the Fast experience group would advance to level 83.
** A Pokémon in the Medium Fast experience group would advance to level 77.
** A Pokémon in the Medium Slow experience group would advance to level 76.
** A Pokémon in the Slow experience group would advance to level 71.
** A Pokémon in the Fluctuating experience group would advance to level 69.

A section on EXP power should also be added when Bulbapedia gets the information.

Well, if we're going to be putting the EXP power thing in, your patch is correct.