Expierence formula

feppie64 · January 15, 2006

Everyone knows

is the experience formula. Is there also a formula to convert experience to level?

MrMoo · January 15, 2006

Exactly.

tq_69er · January 15, 2006

yeah! me understand this :shock: !

A little more of an explantaion would be useful..

Has it got anything to do with drinking?

neogeo0823 · January 15, 2006

lol, thats the formula for converting experience to level... i think. and feppie wants to know if theres a formula for converting level back to experience.

ill say that there probably isnt, only because while your on one level, you have soo many thousands of different experience points between that level and the next. it would be impossible to find your exact number of experience points solely from your level.

richpoepaap · January 15, 2006

Yeah!Sure!I totally understand that!

Not all people know as much math as u do,a bit of explanation plz?

Blipo · January 15, 2006

Level 2 - 83 xp

Level 3 - 174 xp

Level 4 - 276 xp

Level 5 - 388 xp

Level 6 - 512 xp

Level 7 - 650 xp

Level 8 - 801 xp

Level 9 - 969 xp

Level 10 - 1154 xp

Level 11 - 1358 xp

Level 12 - 1584 xp

Level 13 - 1833 xp

Level 14 - 2107 xp

Level 15 - 2411 xp

Level 16 - 2746 xp

Level 17 - 3115 xp

Level 18 - 3523 xp

Level 19 - 3973 xp

Level 20 - 4470 xp

Level 21 - 5018 xp

Level 22 - 5624 xp

Level 23 - 6291 xp

Level 24 - 7028 xp

Level 25 - 7842 xp

Level 26 - 8740 xp

Level 27 - 9730 xp

Level 28 - 10824 xp

Level 29 - 12031 xp

Level 30 - 13363 xp

Level 31 - 14833 xp

Level 32 - 16456 xp

Level 33 - 18247 xp

Level 34 - 20224 xp

Level 35 - 22406 xp

Level 36 - 24815 xp

Level 37 - 27473 xp

Level 38 - 30408 xp

Level 39 - 33648 xp

Level 40 - 37224 xp

Level 41 - 41171 xp

Level 42 - 45529 xp

Level 43 - 50339 xp

Level 44 - 55649 xp

Level 45 - 61512 xp

Level 46 - 67983 xp

Level 47 - 75127 xp

Level 48 - 83014 xp

Level 49 - 91721 xp

Level 50 - 101333 xp

Level 51 - 111945 xp

Level 52 - 123660 xp

Level 53 - 136594 xp

Level 54 - 150872 xp

Level 55 - 166636 xp

Level 56 - 184040 xp

Level 57 - 203254 xp

Level 58 - 224466 xp

Level 59 - 247886 xp

Level 60 - 273742 xp

Level 61 - 302288 xp

Level 62 - 333804 xp

Level 63 - 368599 xp

Level 64 - 407015 xp

Level 65 - 449428 xp

Level 66 - 496254 xp

Level 67 - 547953 xp

Level 68 - 605032 xp

Level 69 - 668051 xp

Level 70 - 737627 xp

Level 71 - 814445 xp

Level 72 - 899257 xp

Level 73 - 992895 xp

Level 74 - 1096278 xp

Level 75 - 1210421 xp

Level 76 - 1336443 xp

Level 77 - 1475581 xp

Level 78 - 1629200 xp

Level 79 - 1798808 xp

Level 80 - 1986068 xp

Level 81 - 2192818 xp

Level 82 - 2421087 xp

Level 83 - 2673114 xp

Level 84 - 2951373 xp

Level 85 - 3258594 xp

Level 86 - 3597792 xp

Level 87 - 3972294 xp

Level 88 - 4385776 xp

Level 89 - 4842295 xp

Level 90 - 5346332 xp

Level 91 - 5902831 xp

Level 92 - 6517253 xp

Level 93 - 7195629 xp

Level 94 - 7944614 xp

Level 95 - 8771558 xp

Level 96 - 9684577 xp

Level 97 - 10692629 xp

Level 98 - 11805606 xp

Level 99 - 13034431 xp

Ks_Jeppe · January 15, 2006

If you understand javascript, here's the one we use for exp --> lvl on the site... Not gonna explain it to you if you don't know javascript :P

function expToLevel(exp)



{



 var points = 0;



 var output = 0;



 for (var lvl = 1; lvl <= 150; lvl++)



 {



   points += Math.floor(lvl + 300 * Math.pow(2, lvl / 7.))



   if (lvl >= 1)



{



     if (output > exp)



     {



       lvl = lvl - 1;



	if (lvl == "0")	{  return "1";	}



	else if (lvl > "99")	{  return "99";	}



	else 			{  return lvl;  }



     }



     output = Math.floor(points / 4);



   }



 }



 return 0;



}

Hopefully that'll help a bit... If not, just isolate x in the formula you posted ;)

swedishlf · January 15, 2006

I don't suppose you'd accept a piecewise function:

Honestly, Ithink it'd just be easier to look them up in a table than try to find a formula for that. If I have a bit of spare time I'll keep working on it though.

pro28 · January 15, 2006

What he posted is obviously a recursive geometric formula of the exp to lvl on rs.

Blipo · January 15, 2006

If you understand javascript, here's the one we use for exp --> lvl on the site... Not gonna explain it to you if you don't know javascript :P
function expToLevel(exp)



{



 var points = 0;



 var output = 0;



 for (var lvl = 1; lvl <= 150; lvl++)



 {



   points += Math.floor(lvl + 300 * Math.pow(2, lvl / 7.))



   if (lvl >= 1)



{



     if (output > exp)



     {



       lvl = lvl - 1;



	if (lvl == "0")	{  return "1";	}



	else if (lvl > "99")	{  return "99";	}



	else 			{  return lvl;  }



     }



     output = Math.floor(points / 4);



   }



 }



 return 0;



}
Hopefully that'll help a bit... If not, just isolate x in the formula you posted ;)

I use a program called "RSDemon, and one of the "guides" contains this:

JavaScript version

The following code is used above to generate the experience table:

Python version

This is the very original code by Slowbyte:

points = 0

for level in range(1,100):

diff = int(level + 300 * math.pow(2, float(level)/7) )

points += diff

str = "Level %d = %d" % (level + 1, points / 4)

print str

MS Excel formula

MS Excel version by Mugol:

Cell A1: 1

Cell B1 formula: =ROUND.DOWN(A1+300*POWER(2;A1/7);0)/4

Cell B1: 2

Cell B2 formula: =B1+ROUND.DOWN(A2+300*POWER(2;A2/7);0)/4

Fill the rest of the first column with numbers 3, 4, ...

Copy B2 field formula down.

PHP version

PHP version by Gazza (aka Jargon on RS)

<?php

function experience($L) {

$a=0;

for($x=1; $x<$L; $x++) {

$a += floor($x+300*pow(2, ($x/7)));

}

return floor($a/4);

}

for($L=1;$L<100;$L++) {

echo 'Level '.$L.': '.experience($L).'

';

}

?>

Visual Basic version

Public Function experience(ByVal lvl As Integer)

Dim a As Long

Dim x As Integer

For x = 1 To lvl

a = a + Int(x + 300 * (2 ^ (x / 7)))

Next x

experience = roundDown(a / 4)

End Function

X31x3 · January 15, 2006

If you understand javascript, here's the one we use for exp --> lvl on the site... Not gonna explain it to you if you don't know javascript :P
function expToLevel(exp)



{



 var points = 0;



 var output = 0;



 for (var lvl = 1; lvl <= 150; lvl++)



 {



   points += Math.floor(lvl + 300 * Math.pow(2, lvl / 7.))



   if (lvl >= 1)



{



     if (output > exp)



     {



       lvl = lvl - 1;



	if (lvl == "0")	{  return "1";	}



	else if (lvl > "99")	{  return "99";	}



	else 			{  return lvl;  }



     }



     output = Math.floor(points / 4);



   }



 }



 return 0;



}
Hopefully that'll help a bit... If not, just isolate x in the formula you posted ;)
I use a program called "RSDemon, and one of the "guides" contains this:

JavaScript version

The following code is used above to generate the experience table:

Python version

This is the very original code by Slowbyte:

points = 0

for level in range(1,100):

diff = int(level + 300 * math.pow(2, float(level)/7) )

points += diff

str = "Level %d = %d" % (level + 1, points / 4)

print str

MS Excel formula

MS Excel version by Mugol:

Cell A1: 1

Cell B1 formula: =ROUND.DOWN(A1+300*POWER(2;A1/7);0)/4

Cell B1: 2

Cell B2 formula: =B1+ROUND.DOWN(A2+300*POWER(2;A2/7);0)/4

Fill the rest of the first column with numbers 3, 4, ...

Copy B2 field formula down.

PHP version

PHP version by Gazza (aka Jargon on RS)

<?php

function experience($L) {

$a=0;

for($x=1; $x<$L; $x++) {

$a += floor($x+300*pow(2, ($x/7)));

}

return floor($a/4);

}

for($L=1;$L<100;$L++) {

echo 'Level '.$L.': '.experience($L).'

';

}

?>

Visual Basic version

Public Function experience(ByVal lvl As Integer)

Dim a As Long

Dim x As Integer

For x = 1 To lvl

a = a + Int(x + 300 * (2 ^ (x / 7)))

Next x

experience = roundDown(a / 4)

End Function

WOW, thats must mean:

Level 100 - 14391160 xp

Level 101 - 15889109 xp

Level 102 - 17542976 xp

Level 103 - 19368992 xp

Level 104 - 21385073 xp

Level 105 - 23611006 xp

Level 106 - 26068632 xp

Level 107 - 28782069 xp

Level 108 - 31777943 xp

Level 109 - 35085654 xp

Level 110 - 38737661 xp

Level 111 - 42769801 xp

Level 112 - 47221641 xp

Level 113 - 52136869 xp

Level 114 - 57563718 xp

Level 115 - 63555443 xp

Level 116 - 70170840 xp

Level 117 - 77474828 xp

Level 118 - 85539082 xp

Level 119 - 94442737 xp

Level 120 - 104273167 xp

Level 121 - 115126838 xp

Level 122 - 127110260 xp

Level 123 - 140341028 xp

Level 124 - 154948977 xp

Level 125 - 171077457 xp

Level 126 - 188884740 xp

Level 127 - 208545572 xp

Level 128 - 230252886 xp

Level 129 - 254219702 xp

Level 130 - 280681209 xp

Level 131 - 309897078 xp

Level 132 - 342154009 xp

Level 133 - 377768545 xp

Level 134 - 417090179 xp

Level 135 - 460504778 xp

Level 136 - 508438379 xp

Level 137 - 561361362 xp

Level 138 - 619793069 xp

Level 139 - 684306901 xp

Level 140 - 755535943 xp

Level 141 - 834179178 xp

Level 142 - 921008346 xp

Level 143 - 1016875516 xp

Level 144 - 1122721449 xp

Level 145 - 1239584831 xp

Level 146 - 1368612462 xp

Level 147 - 1511070513 xp

Level 148 - 1668356950 xp

Level 149 - 1842015252 xp

Level 150 - 2033749558 xp

Level 151 - 2245441392 xp

Level 152 - 2479168121 xp

Level 153 - 2737223349 xp

Level 154 - 3022139416 xp

Level 155 - 3336712255 xp

Level 156 - 3684028823 xp

Level 157 - 4067497401 xp

Level 158 - 4490881032 xp

Level 159 - 4958334456 xp

Level 160 - 5474444875 xp

Level 161 - 6044276973 xp

Level 162 - 6673422613 xp

Level 163 - 7368055713 xp

Level 164 - 8134992831 xp

Level 165 - 8981760056 xp

Level 166 - 9916666866 xp

Level 167 - 10948887667 xp

Level 168 - 12088551825 xp

Level 169 - 13346843067 xp

Level 170 - 14736109228 xp

Level 171 - 16269983424 xp

Level 172 - 17963517835 xp

Level 173 - 19833331415 xp

Level 174 - 21897772978 xp

Level 175 - 24177101254 xp

Level 176 - 26693683698 xp

Level 177 - 29472215980 xp

Level 178 - 32539964331 xp

Level 179 - 35927033113 xp

Level 180 - 39666660232 xp

Level 181 - 43795543315 xp

Level 182 - 48354199826 xp

Level 183 - 53387364671 xp

Level 184 - 58944429193 xp

Level 185 - 65079925854 xp

Level 186 - 71854063374 xp

Level 187 - 79333317570 xp

Level 188 - 87591083692 xp

Level 189 - 96708396670 xp

Level 190 - 106774726318 xp

Level 191 - 117888855318 xp

Level 192 - 130159848595 xp

Level 193 - 143708123591 xp

Level 194 - 158666631937 xp

Level 195 - 175182164138 xp

Level 196 - 193416790048 xp

Level 197 - 213549449297 xp

Level 198 - 235777707252 xp

Level 199 - 260319693761 xp

Level 200 - 287416243706 xp

Level 201 - 317333260352 xp

Level 202 - 350364324707 xp

Level 203 - 386833576481 xp

Level 204 - 427098894932 xp

Level 205 - 471555410793 xp

Level 206 - 520639383765 xp

Level 207 - 574832483607 xp

Level 208 - 634666516851 xp

Level 209 - 700728645512 xp

Level 210 - 773667149012 xp

Level 211 - 854197785865 xp

Level 212 - 943110817538 xp

Level 213 - 1041278763431 xp

Level 214 - 1149664963066 xp

Level 215 - 1269333029505 xp

Level 216 - 1401457286776 xp

Level 217 - 1547334293726 xp

Level 218 - 1708395567381 xp

Level 219 - 1886221630676 xp

Level 220 - 2082557522412 xp

Level 221 - 2299329921631 xp

Level 222 - 2538666054457 xp

Level 223 - 2802914568947 xp

Level 224 - 3094668582795 xp

Level 225 - 3416791130051 xp

Level 226 - 3772443256589 xp

Level 227 - 4165115040009 xp

Level 228 - 4598659838393 xp

Level 229 - 5077332103991 xp

Level 230 - 5605829132919 xp

Level 231 - 6189337160561 xp

Level 232 - 6833582255019 xp

Level 233 - 7544886508039 xp

Level 234 - 8330230074825 xp

Level 235 - 9197319671539 xp

Level 236 - 10154664202681 xp

Level 237 - 11211658260481 xp

Level 238 - 12378674315708 xp

Level 239 - 13667164504568 xp

Level 240 - 15089773010553 xp

Level 241 - 16660460144069 xp

Level 242 - 18394639337440 xp

Level 243 - 20309328399666 xp

Level 244 - 22423316515210 xp

Level 245 - 24757348625607 xp

Level 246 - 27334329003268 xp

Level 247 - 30179546015181 xp

Level 248 - 33320920282154 xp

Level 249 - 36789278668837 xp

Level 250 - 40618656793231 xp

Thats just sick!

wakka102 · January 15, 2006

now i can see why there is a 99 cap for skills :shock:

X31x3 · January 15, 2006

now i can see why there is a 99 cap for skills :shock:

Nonsense... Level 421 - 917187883580515200000 xp

Are you lazy? Only 3.821.616.181.585.480.000 moss giants to go for that level!

12bigo12 · January 16, 2006

* says slowly and shocinkley* OH MY GOD. :shock:

Drift_In_Blood · January 16, 2006

* says slowly and shocinkley* OH MY GOD. :shock:

Shockingly? :| ?

12bigo12 · January 16, 2006

* says slowly and shocinkley* OH MY GOD. :shock:

Shockingly? :| ?

i cant spell....

my magic is 1..get it spell..magic! AHAHAHAHA i crack my self up

(mage is really 46)

cocacolabottle · January 16, 2006

ROFL :D

IkhandarI · January 16, 2006

what the hell does that mean i aint done that kind of maths? and ive left school lol

Goobore · January 16, 2006

is the experience formula. Is there also a formula to convert experience to level?

Short answer:

No, but this is close

Level ~= 10.0989*natlog((Exp+543.6816)/720.6116)

Medium answer:

There is a procedure that you can follow to find the level if you were given the exp.

Long answer:

From this post we read

...The modified formula is:

Experience = floor(A*(2^(L/7)-2^(1/7)) + B*L^5 + C*L^4 + D*L^3 + E*L^2 + F*L + G)

Where L is the Level.

So now it's an exponential function plus a 5th degree polynomial with

A = 720.533673767946

B = 3.54298390625729e-09

C = -1.0176384179772e-06

D = 9.69859806900786e-05

E = 0.121741672963253

F = -0.2074127222877

G = 0.139103528112173

This matches 100% with the 100 known Runescape exp values...

What the poster did was to convert the original formula

into a continous, smooth formula.

(picture by somaster989)

So, if you know your skill level, you can find your exp value by using either of the formulas or, roughly, the graph.

The original poster would like to reverse the procedure.

That is, if you know your exp, then what is your level.

Unfortunately, this kind of equation is not invertable in closed form.

So, probably the best solution is to use a Bisection search method to solve the equation

Exp - (wally's formula involving Level) = 0

for the required Level

Here's a Matlab program to do that:

function lev = re2l(ex)

%RE2L Runescape Experience to Level calculator

%

%calculates exact level for a given experience

%

%see also: RL2E

A = 720.533673767946;

B = 3.54298390625729e-09;

C = -1.0176384179772e-06;

D = 9.69859806900786e-05;

E = 0.121741672963253;

F = -0.2074127222877;

G = 0.139103528112173;

xl=repmat(0,size(ex)); xr=200+xl;

for n=1:200

lev=(xl+xr)/2; % Binary search

e = A*(2.^(lev/7)-2^(1/7));

p = G+lev.*(F+lev.*(E+lev.*(D+lev.*(C+lev.*B))));

epx = e+p;

exerr = epx-ex;

isneg=find(exerr<0);

ispos=find(exerr>0);

%vectorized binary search

if ~isempty(isneg)

xl(isneg)=lev(isneg);

end

if ~isempty(ispos)

xr(ispos)=lev(ispos);

end

return

Lode · January 16, 2006

good old phil's cooking guide :)

his experience page is in my bookmarks and I often use it.

jwrm22 · January 16, 2006

now i can see why there is a 99 cap for skills :shock:

Nonsense... Level 421 - 917187883580515200000 xp

Are you lazy? Only 3.821.616.181.585.480.000 moss giants to go for that level!

get rich... sell the bones... 400 each... that will be... 1528646472634192000k

lol my new goal: prayer lvl 250...

ill call you whan i need the bones... and whan i have

1528646472634192000k by mining 127387206052849k rune... when i get 85 mining...

dragoncmd · January 16, 2006

now i can see why there is a 99 cap for skills :shock:

Nonsense... Level 421 - 917187883580515200000 xp

Are you lazy? Only 3.821.616.181.585.480.000 moss giants to go for that level!

get rich... sell the bones... 400 each... that will be... 1528646472634192000k

lol my new goal: prayer lvl 250...

ill call you whan i need the bones... and whan i have

1528646472634192000k by mining 127387206052849k rune... when i get 85 mining...

... And I thought lv 70 attack was bad

feppie64 · January 17, 2006

Thanks, I'm going to take a closer look to this :P

clown_creep · January 17, 2006

lol you guys have way to much time on ur hands (trying to figure out xp and lvl formulas)

:idea:

ddaanniiellh · January 19, 2006

omg! how do people have time to do this?!!?!

Expierence formula

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