Barash the Den Mother

The formula for XP levels 28 to 31 is (100/3)x^3-2850x^2+(250850/3)x-804700 Ia.emperor 01:08, 26 April 2008 (UTC)

Meinbobo,

Diff(31) is 6, not 5. Please do not change the formulas unless you can first justify a correction.

--Greenman 06:54, 15 June 2006 (EDT)

When totaling the total raw xp to reach level 60, whomever did the math added the XP needed to reach level 61 into the equation.

--- Actually the formula is wrong. The required exp for the next level is calculated based on a the following integer sequence:

http://www.research.att.com/~njas/sequences/A057354

It's is applied to a negative offset and multiplied by 200:

lvl:  to next:
-3:   -800 = -800
-2:   -600 = -800 + 200 
-1:   -400 = -800 + 200 + 200          
 0:      0 = -800 + 200 + 200 + 400                                                                   
 1:    400 = -800 + 200 + 200 + 400 + 400                                                               
 2:    800 = -800 + 200 + 200 + 400 + 400 + 400                                                  
 3:   1400 = -800 + 200 + 200 + 400 + 400 + 400 + 600                                                     
 4:   2000 = -800 + 200 + 200 + 400 + 400 + 400 + 600 + 600 
 5:   2800 = -800 + 200 + 200 + 400 + 400 + 400 + 600 + 600 + 800       
 6:   3600 = -800 + 200 + 200 + 400 + 400 + 400 + 600 + 600 + 800 + 800
 7:   4400 = -800 + 200 + 200 + 400 + 400 + 400 + 600 + 600 + 800 + 800 + 800 
 8:   5400 = -800 + 200 + 200 + 400 + 400 + 400 + 600 + 600 + 800 + 800 + 800 + 1000
 9:   6400 = -800 + 200 + 200 + 400 + 400 + 400 + 600 + 600 + 800 + 800 + 800 + 1000 + 1000 

As you can see it's some kind of 2 - 3 - 2 - 3 increment pattern. If you divide everything by 200, and continue it to level -5 you get:

-5:   -4 = -4 + 0   
-4:   -4 = -4 + 0 + 0  
-3:   -4 = -4 + 0 + 0 + 0 
-2:   -3 = -4 + 0 + 0 + 0 + 1 
-1:   -2 = -4 + 0 + 0 + 0 + 1 + 1          
 0:    0 = -4 + 0 + 0 + 0 + 1 + 1 + 2                                                                   
 1:    2 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2                                                               
 2:    4 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2                                                  
 3:    7 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2 + 3                                                     
 4:   10 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2 + 3 + 3 
 5:   14 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 4       
 6:   18 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 4 + 4
 7:   22 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 4 + 4 + 4 
 8:   27 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 4 + 4 + 4 + 5
 9:   32 = -4 + 0 + 0 + 0 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 4 + 4 + 4 + 5 + 5 

which is exactly the linked sequence:

[0,0,0,1,1,2,2,2,3,3,4,4,4,5,5,6,6,6,7,7,8,8,8,9,
 9,10,10,10,11,11,12,12,12,13,13,14,14,14,15,15,16,
 16,16,17,17,18,18,18,19,19,20,20,20,21,21,22,22,
 22,23,23,24,24,24,25,25,26,26,26,27,27,28,28,28,
 29,29,30,30]

The sequence formula is simply: An = floor(2n/5)

But unfortunately my math knowledge is not good enough to create a row sum formula out of it which then could be used to exactly calculate the required exp to next level.

-- smartwork

Your math is impressive, but... I'm pretty sure it takes 900 XP to reach level 3 from level 2 (as the page shows), not 800 XP (as your math shows).

--DarkRyder 14:47, 21 July 2006 (EDT)

I tested this at local emu server but it doesn't matter as the exp to next level is calculated client side. Furthermore I just googled this:

http://66.249.93.104/search?q=cache:4vxfvEUbaowJ:www.phil.macey.btinternet.co.uk/wowxpformula.htm+wow+xp+800+7600+27200+12800&hl=de&gl=de&ct=clnk&cd=1

So even the table on this wiki page is wrong.

-- smartwork

Ok, a friend just made a test at Blizz and you are right, it now takes indeed 900 from 2 to 3. As I still think that the "formula" is in the client and I tested with 1.8.2 which had 800 to 3, I would bet that there is NO FORMULA anymore. I think Blizz once created a table based on the pattern posted above and then adjusted this table over the time at will. So there can never an exact formula be found. :(

-- smartwork

Looks like a problem among people who don't know the difference between the "round" function and the "floor" function.

XP(L) = 100 * round((8*L + DIF(L)) * MXP(L)/100)
L = 2
DIF(2) = 0
MXP(2) = 55
XP(2) = 100 * round((16 * 55)/100)
XP(2) = 100 * round(8.8)
XP(2) = 100 * 9
XP(2) = 900
correct.

versus

XP(2) = 100 * floor(8.8)
XP(2) = 100 * 8
XP(2) = 800
incorrect.

To the best of my knowledge, nothing has changed since I wrote this up sometime last fall. It has always taken 900 XP to go from 2 to 3. Here's my original notes, unmodified by wiki editors... http://mosa.unity.ncsu.edu/WoW/library/xptolevel.html

--Greenman 11:50, 24 July 2006 (EDT)

Yes, I think that the page which smartwork links to has a round/floor issue, but I like the idea of trying to come up with a formula for describing XP limits which doesn't involve a difficulty factor (it seems rather fiddly, to me). Still, the MobXP+Diff formula is correct for all the values which I happen to know (I've made enough new characters to know that the 2→3 limit has been 900 XP since the betas), whereas the 3-2-2-3 progression isn't. Greenman, did you check your formula against all 59 limits? If not, I can probably get that data from my guild.

--DarkRyder 09:45, 27 July 2006 (EDT)

Most of them on my own way up to 60. I've long since trashed the piece of paper that I used when recording. You are welcome to re-verify.

As for the DIF being all fiddly... well, that's what they did when the fiddled with it. It's mostly an additional linear term, with a few levels' values massaged to smooth out the transition. --Greenman 11:12, 28 July 2006 (EDT)

My tests showed that 3-2-2-3 sequence is 100 exp behind every 2-3 levels up to level 29. Starting from level 29 it falls behind more and more. At level 59 it results in 160400 instead of 209800. --Drundia 18:56, 22 August 2006 (EDT)

Stupid Question

Do level 60's still earn XP now? Will that XP count toward level 70 once Burning Crusade comes out? Will a level 60 with 700,000 XP jump to level 63 when Burning Crusade is installed?--Scalp 10:08, 1 August 2006 (EDT)

XP earned at 60 from quests is converted to gold and it adds up to a fair amount. It will NOT count toward level 70. I assume that we will get a full 1.5 levels of rest XP when it comes out, however. -- Jaxdahl 14:17, 21 September 2006 (EDT)

Well as of Patch 1.12.1 it appears that lvl 60's rest xp has been reset to zero and is no longer accumulating again. -- Jaxdahl 01:32, 29 September 2006 (EDT)

Burning Crusade XP

Here are some unofficial numbers I've gleaned from screenshots and am reporting as factual information - it's not official yet so take it with a grain of salt: 60->61 is 325,000 XP and 62->63 is 502,600 XP. Extrapolating these numbers with a few different methods gives a number for 69->70 around 900,000-1,200,000 XP. -- Jaxdahl 14:17, 21 September 2006 (EDT)

http://koti.mbnet.fi/honkki/WoW/WoWScrnShot_101306_205539.jpg

60->61 is 415500

--Drundia 17:18, 12 October 2006 (EDT)

Is (MXP(CL) = 45 + (5 × CL)) formula still valid in TBC?

BC

Snippet i got from a forum :

• or click link -> [1]

• 59 - 60 = 210,000 xp
• 60 - 61 = 415,000 xp
• 61 - 62 = 450,000 xp
• 62 - 63 = 480,000 xp
• 63 - 64 = 510,000 xp
• 64 - 65 = 545,000 xp
• 65 - 66 = 575,000 xp
• 66 - 67 = 610,000 xp
• 67 - 68 = 650,000 xp
• 68 - 69 = 685,000 xp
• 69 - 70 = 720,000 xp

Not sure how accurate it is though CJ 10:10, 3 November 2006 (EST)

Table Edit

Added a graph to demonstrate more clearly the xp-to-level trends. The regression fits I chose to fit the trends were completely independent of the equations that others gave previously and only reflect an attempt to fit the data that were already given in the table. Feel free to remove the table if you wish, or update it with fits that are defined by the equations given in the Formulas section.

--Axx 03:11, 22 February 2007 (EST)

2.3

Anyone trying to figure out the new Formula?

Also I noticed that someone added an incomplete table listing the new amount of experience needed to level up, however I think it's also inaccurate as the required experience listed for lvl 10-20 is different from the pre-2.3 table and, according to Blizzard, lvls 1-20 remained untouched.

Mareth! 04:29, 14 October 2007 (UTC)

Ok.. I went to the PTR and start asking everyone the amount of XP needed to get to the next level and experience from lvl 10 to 20 has indeed been slightly decreased. I'll update the table with the new data I obtained. Mareth! 04:56, 14 October 2007 (UTC)

I just did a quick spreadsheet comparing the 2.2 XP with the reported 2.3 XP. Here's what I got:

(snip - deleted now that the % change info is in the table on the "main" page).

So far, other than the occasional tweak caused by rounding to a different multiple of 100, it looks like the reduction in XP-to-level is 0% until level 13, starts ramping up around level 14, and hits a consistent value of about 18% (give or take rounding error) sometime between levels 18 and 33.

-- Rmunn 05:01, 14 October 2007 (UTC)

I'm powerleveling a character on the PTR, and I'll be keeping track of UnitXPMax at each level to verify here. I just hit 10.

Badken 05:20, 14 October 2007 (UTC)

FYI, the following macro will report the max XP for your current level:

/script DEFAULT_CHAT_FRAME:AddMessage("Level "..UnitLevel('player').." max XP = "..UnitXPMax('player'))

Badken 05:26, 14 October 2007 (UTC)

It will probably take too long to get to 70 on the PTR, a faster way would be to /who spam everyone of a certain level asking them to tell you the XP needed for their level. Mareth! 06:11, 14 October 2007 (UTC)

I think I've got the formula for the XP-per-level change.

PCT = MIN(LVL-10, 18) / 100
NEW_XP = FLOOR_100(OLD_XP * (1-PCT))

Where FLOOR_100 is a function that rounds down to the nearest 100.

I just put together a quick Python script to test this, and that formula matched the recorded values everywhere. Unless levels 45, 50, 57 or one of the levels above 60 yields a surprise, I think we have our conversion formula.

Now to figure out what that formula does to the quadratic calculate-XP-from-level formula (65x^2 - 165x - 6750) posted earlier for the pre-2.3 XP values...

-- Rmunn 00:06, 17 October 2007 (UTC)

I did the math to get the new formula for 11-27. It's:

FLOOR_100(-.4x^3+40.4x^2+396x)

where x is the level.

The formulas are all the same, except that all levels higher than 27 and lower than 60 have had the experience to level multiplied by .82

-- Lordnivlak 00:02, 24 March 2008 (UTC)

Updated the page with the new formulas, and removed the outdated tag.

-- Lordnivlak 01:07, 24 March 2008 (UTC)

Wrath of the Lich King

Starting with patch 3.0.2, the XP required to level has been lessened for levels 60-70, presumably so that players can reach Northrend more quickly with new characters such as Death Knights. Based on inquiries on the PTR (as of build 8982), the new XP values appear to be:

Level	Pre-WotLK	Post-WotLK	% reduction in XP to reach next level
60	494,000	290,000	41.3%
61	574,700	317,000	44.8%
62	614,400	349,000	43.2%
63	650,300	386,000	40.6%
64	682,300	428,000	37.3%
65	710,200	475,000	33.1%
66	734,100	527,000	28.2%
67	753,700	585,000	22.4%
68	768,900	648,000	15.7%
69	779,700	717,000	8.0%

Note that the "pre-WotLK" XP values above were taken directly from the XP table on the main Experience to level page. I have verified that the number for level 60 is correct on the live realms, but I haven't verified any of the other numbers since I don't have any characters of level 61 to 69 anymore. If someone double-checks those pre-Wrath numbers on live and finds a discrepancy, please correct the above table.

--WoWWiki-Rmunn (talk) 15:52, 27 September 2008 (UTC)

Exp past 70

UnitXPMax("player") returned 814700 for Level 70 players pre-2.4. In 2.4 it was updated to return 1256500. It seems we can have a preliminary estimate of experience to 80 of about 1.4 million or so. --Drundia 11:53, 10 April 2008 (UTC)

The AllPlayed mod will cash any values for XP to level that it doesn't already know. I made sure that the beta version on files.wowace.com works with WotLK.

Y ou will find the AllPlayed.lua in the WTF\Account\<Account name>\SaveVariables folder. In that file, look for a section like this:

["cache"] = {
	["XPToNextLevel"] = {
		["8770"] = {
			[70] = 1256500,
		},
	},
},

The 8770 represent the patch revision.

I'm looking forward to know the new values so I can update the addon :-) --LaoTseu (talk) 03:30, 10 August 2008 (UTC)

WotLK values known so far:

Level	UnitXPMax("player")
70	1256500
71	1269500
75	1322800
77	1350100

--LaoTseu (talk) 21:37, 10 August 2008 (UTC)

Cumlitave XP to level (Errors)

Level	Total Required XP	Level	Total Required XP	Level	Total Required XP	Level	Total Required XP
1	0	21	179900	41	1038300	61	3858700
2	400	22	202300	42	1116800	62	4433400
3	1300	23	226300	43	1199600	63	5047800
4	2700	24	251800	44	1286700	64	5698100
5	4800	25	279000	45	1378300	65	6380400
6	7600	26	307900	46	1473600	66	7090600
7	11200	27	338400	47	1574600	67	7824700
8	15700	28	370600	48	1680400	68	8578400
9	21100	29	404500	49	1791100	69	9347300
10	27600	30	440800	50	1906800	70	10127000
11	35200	31	479600	51	2027700
12	43900	32	521200	52	2153800
13	53700	33	565800	53	2285300
14	64700	34	603800	54	2422300
15	77000	35	655200	55	2564800
16	90600	36	710200	56	2713000
17	105600	37	768900	57	2867000
18	122000	38	827600	58	3026900
19	139800	39	893800	59	3192700
20	159100	40	964000	60	3364700

Curiously, this doesn't agree with the XP to level table in the main article. Anyone able to see where I went wrong? I appear to be ~500k XP in front, so I'm not quite sure how much is wrong.

Twillik (talk) 09:24, 27 August 2008 (UTC)

Levels 1-10

When trying to duplicate these max xp values using the supplied information, I run into problems rounding levels 1-10. Previously the MAX xp of level 2 was discussed as being a difference between 800 and 900.

This is caused by Rounding DOWN vs Rounding. The article states that XP values are always rounded down to the nearest 100, yet this does not seem to be the case for levels 1-10. Please see details below.

If a simple round is used all values for 1-10 match with the table in the article.

If all values are rounded down, then levels 2, 4, 7, and 9 deviate from the articles table.

As many people have stated that they have tested that the xp cap for lvl 2 is 900, I am curious where I am getting these different values.

40x^2+360x where x = 2

40 *(2^2)+360(2)
40(4)+360(2)
160+720 = 880

If rounded down as suggested in the article, we get 800. Have I gone sideways somewhere?

Levelling after 4.0.3 (Shattering and Cataclysm)

The XP required to level after 4.0.3 have been reduced. Here are the values I was able to compile so far:

Current Level	XP Needed to Level
10	6700
11	7000
12	7700
13	8700
14	9700
15	10800
16	11900
17	13100
18	14200
19	15400
20	16600
21	17900
22	19200
23	20400
24	21800
25	23100
26	24400
27	25800
28	27100
29	29000
30	31000
31	33300
32	35700
33	38400
34	41100
35	44000
36	47000
37	49900
38	53000
39	56200
40	74300
41	785000
42	82800
43	87100
67	585000
70	1219000
73	1257000
80	1686300
81	2121500
82	4004000
83	5203400
84	9165100

LaoTseu (talk) 22:55, 3 December 2010 (UTC)