Jump to content

I found the EXP/Level Formula!


Quasar889

Recommended Posts

 

This is where the TI-84 shines: I ran a quartic data regression model on my lists to find a formula that is as accurate as possible. Bear in mind that this produces a polynomial expression of degree 4.

 

 

 

 

:-s ?.................. =D>

gif3637smallxx3.gif4skillsrm7.png

Whip PKs: 11

Dragon Drops: 9 - Whip Drops: 20

Link to comment
Share on other sites

  • Replies 92
  • Created
  • Last Reply

Top Posters In This Topic

I'm still stuck with my old TI-83 upgraded version :wall:

 

 

 

Well, sience for life I may say, but I have .. a few.. what .. alot to say about this formula. Since I myself study sciense aswell, 3% is alot.

 

 

 

You say: lvl 1 - 60 is inaccurate.. and you say that 60+ is 3% inaccurate. Well, it could just be me, but if 'all' your answers are inaccurate, then the formula simply isn't right. It might be something to try, but round off. Nobody actually uses formulas that aren't round off.

 

 

 

Oh and last but not least. This proves again that no men can ever do something random \' (sience people, its been proven once more) :-k

34eyfbd.jpg9h43sp.jpg16m28ty.jpg
Link to comment
Share on other sites

Also, just had a thought:

 

What if I take Duke Freedom's research on the prices of rares and develop a regression algorithm for the prices of rares (i.e. inflation) THAT would be a pretty big acheivement.

 

 

 

Prices of rares grow exponentially, besides, prices of rares fluctuate a lot - you can only determine long-term trends and I'll show that even those seem to fluctuate.

 

 

 

Over historic data of mid 2005 to start 2006, the prices grew roughly with the equation 1.005^x. However, the past half year they grew roughly with the equation 1.0085^x, much faster then the other trend (x = number of days passed). This shows that either rares have been growing much faster nowadays, or rares will grow much slower the rest of the year.

Link to comment
Share on other sites

I really don't see why you would want to use a quartic regression curve, it would seem much more appropriate to use a curve tha increases over its entire length, for example an exponential curve.

 

 

 

A quartic will at some point bend the other way, to have a negative gradient, although this will probably be in an irrelevant region. Infact you could probaby achieve a good looking curve with any higher even order you wanted.

 

 

 

With regards to the impossibility of the quintic formula, this is I believe true. The calculator does not use a formula it uses a numerical aproximation method, probably with succesive iterations of Newton-Raphson or similar methods.

 

 

 

Also can't you use your USB connector to send that graph to your computer as an image?

 

 

 

And actually Casio is much better than TI :D

Remember your country code, and SHUT THE GATES!

Link to comment
Share on other sites

Don't care if this was posted before:

 

 

 

http://maddogcarter.com/phil/runescape/xpformula.html

 

 

 

(Around level 120 you hit 100M experience. 200M experience is 8M shy of levle 127, which means 126 is the current experience cap.)

 

 

 

once again Makato owns everyone.

 

 

 

RS + the number 126 = conspiracy

Atomic_Boss.png
Link to comment
Share on other sites

Hmm, if they raised the level cap, most of the top 50 are already gonna be level's 110+ with the amount of xp they have...

 

 

 

On a side note... Geeks ftw...

bloodelf-1.jpg

I tell the truth even when I lie.

Link to comment
Share on other sites

Found this on a forum, dno if it's right tho

 

 

 

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

 

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

 

Level 251 - 44846633024260 xp

 

Level 252 - 49514697244994 xp

 

Level 253 - 54668658000257 xp

 

Level 254 - 60359092024023 xp

 

Level 255 - 66641840557909 xp

 

Level 256 - 73578557331216 xp

 

Level 257 - 81237313579943 xp

 

Level 258 - 89693266041940 xp

 

Level 259 - 99029394483349 xp

 

Level 260 - 109337315993814 xp

 

Level 261 - 120718184041284 xp

 

Level 262 - 133283681108995 xp

 

Level 263 - 147157114655547 xp

 

Level 264 - 162474627152939 xp

 

Level 265 - 179386532076870 xp

 

Level 266 - 198058788959625 xp

 

Level 267 - 218674631980491 xp

 

Level 268 - 241436368075369 xp

 

Level 269 - 266567362210727 xp

 

Level 270 - 294314229303767 xp

 

Level 271 - 324949254298487 xp

 

Level 272 - 358773064146286 xp

 

Level 273 - 396117577911730 xp

 

Level 274 - 437349263953399 xp

 

Level 275 - 482872736143089 xp

 

Level 276 - 533134724413740 xp

 

Level 277 - 588628458599755 xp

 

Level 278 - 649898508589129 xp

 

Level 279 - 717546128284661 xp

 

Level 280 - 792235155815484 xp

 

Level 281 - 874698527898754 xp

 

Level 282 - 965745472278067 xp

 

Level 283 - 1066269448819302 xp

 

Level 284 - 1177256917191266 xp

 

Level 285 - 1299797017169947 xp

 

Level 286 - 1435092256560942 xp

 

Level 287 - 1584470311622521 xp

 

Level 288 - 1749397055788993 xp

 

Level 289 - 1931490944547551 xp

 

Level 290 - 2132538897629953 xp

 

Level 291 - 2354513834373811 xp

 

Level 292 - 2599594034331104 xp

 

Level 293 - 2870184513113026 xp

 

Level 294 - 3168940623236114 xp

 

Level 295 - 3498794111568987 xp

 

Level 296 - 3862981889086033 xp

 

Level 297 - 4265077795250767 xp

 

Level 298 - 4709027668738412 xp

 

Level 299 - 5199188068652928 xp

 

Level 300 - 5740369026216700 xp

 

Level 301 - 6337881246462804 xp

 

Level 302 - 6997588223128479 xp

 

Level 303 - 7725963778162499 xp

 

Level 304 - 8530155590491894 xp

 

Level 305 - 9418055337467112 xp

 

Level 306 - 10398376137296070 xp

 

Level 307 - 11480738052423542 xp

 

Level 308 - 12675762492915678 xp

 

Level 309 - 13995176446246956 xp

 

Level 310 - 15451927556314924 xp

 

Level 311 - 17060311180973640 xp

 

Level 312 - 18836110674924000 xp

 

Level 313 - 20796752274581844 xp

 

Level 314 - 22961476104836710 xp

 

Level 315 - 25351524985820908 xp

 

Level 316 - 27990352892483388 xp

 

Level 317 - 30903855112619250 xp

 

Level 318 - 34120622361936604 xp

 

Level 319 - 37672221349837250 xp

 

Level 320 - 41593504549152856 xp

 

Level 321 - 45922952209662520 xp

 

Level 322 - 50703049971630830 xp

 

Level 323 - 55980705784955710 xp

 

Level 324 - 61807710225227350 xp

 

Level 325 - 68241244723861980 xp

 

Level 326 - 75344442699663200 xp

 

Level 327 - 83187009098294340 xp

 

Level 328 - 91845904419313580 xp

 

Level 329 - 101406099943250140 xp

 

Level 330 - 111961411569899820 xp

 

Level 331 - 123615420450443020 xp

 

Level 332 - 136482489447712210 xp

 

Level 333 - 150688885399314560 xp

 

Level 334 - 166374018196576770 xp

 

Level 335 - 183691808838615170 xp

 

Level 336 - 202812199886488200 xp

 

Level 337 - 223922823139787500 xp

 

Level 338 - 247230840900873800 xp

 

Level 339 - 272964978895412100 xp

 

Level 340 - 301377770798616700 xp

 

Level 341 - 332748036393141000 xp

 

Level 342 - 367383617677217700 xp

 

Level 343 - 405624399772963700 xp

 

Level 344 - 447845646279562200 xp

 

Level 345 - 494461681801734700 xp

 

Level 346 - 545929957790811200 xp

 

Level 347 - 602755541597220400 xp

 

Level 348 - 665496072786268900 xp

 

Level 349 - 734767235354422400 xp

 

Level 350 - 811248799545914200 xp

 

Level 351 - 895691292559111200 xp

 

Level 352 - 988923363603456300 xp

 

Level 353 - 1091859915581609200 xp

 

Level 354 - 1205511083194427400 xp

 

Level 355 - 1330992145572524500 xp

 

Level 356 - 1469534470708831200 xp

 

Level 357 - 1622497599091815000 xp

 

Level 358 - 1791382585118208500 xp

 

Level 359 - 1977846727206898400 xp

 

Level 360 - 2183719831163204000 xp

 

Level 361 - 2411022166388840400 xp

 

Level 362 - 2661984291145034000 xp

 

Level 363 - 2939068941417647600 xp

 

Level 364 - 3244995198183615000 xp

 

Level 365 - 3582765170236402000 xp

 

Level 366 - 3955693454413782000 xp

 

Level 367 - 4367439662326393300 xp

 

Level 368 - 4822044332777666000 xp

 

Level 369 - 5323968582290053000 xp

 

Level 370 - 5878137882835280000 xp

 

Level 371 - 6489990396367215000 xp

 

Level 372 - 7165530340472789000 xp

 

Level 373 - 7911386908827549000 xp

 

Level 374 - 8734879324652771000 xp

 

Level 375 - 9644088665555317000 xp

 

Level 376 - 10647937164580092000 xp

 

Level 377 - 11756275765670545000 xp

 

Level 378 - 12979980792734413000 xp

 

Level 379 - 14331060680945562000 xp

 

Level 380 - 15822773817655080000 xp

 

Level 381 - 17469758649305526000 xp

 

Level 382 - 19288177331110617000 xp

 

Level 383 - 21295874329160167000 xp

 

Level 384 - 23512551531341074000 xp

 

Level 385 - 25959961585468810000 xp

 

Level 386 - 28662121361891107000 xp

 

Level 387 - 31645547635310146000 xp

 

Level 388 - 34939517298611036000 xp

 

Level 389 - 38576354662221220000 xp

 

Level 390 - 42591748658320320000 xp

 

Level 391 - 47025103062682130000 xp

 

Level 392 - 51919923170937600000 xp

 

Level 393 - 57324242723782200000 xp

 

Level 394 - 63291095270620275000 xp

 

Level 395 - 69879034597222060000 xp

 

Level 396 - 77152709324442420000 xp

 

Level 397 - 85183497316640620000 xp

 

Level 398 - 94050206125364250000 xp

 

Level 399 - 103839846341875200000 xp

 

Level 400 - 114648485447564400000 xp

 

Level 401 - 126582190541240550000 xp

 

Level 402 - 139758069194444110000 xp

 

Level 403 - 154305418648884840000 xp

 

Level 404 - 170366994633281240000 xp

 

Level 405 - 188100412250728500000 xp

 

Level 406 - 207679692683750400000 xp

 

Level 407 - 229296970895128800000 xp

 

Level 408 - 253164381082481100000 xp

 

Level 409 - 279516138388888220000 xp

 

Level 410 - 308610837297769700000 xp

 

Level 411 - 340733989266562500000 xp

 

Level 412 - 376200824501457000000 xp

 

Level 413 - 415359385367500800000 xp

 

Level 414 - 458593941790257600000 xp

 

Level 415 - 506328762164962200000 xp

 

Level 416 - 559032276777776450000 xp

 

Level 417 - 617221674595539400000 xp

 

Level 418 - 681467978533125000000 xp

 

Level 419 - 752401649002914000000 xp

 

Level 420 - 830718770735001600000 xp

 

Level 421 - 917187883580515200000 xp

 

Level 422 - 1.0126575243299244e+21 xp

 

Level 423 - 1.1180645535555529e+21 xp

 

Level 424 - 1.2344433491910787e+21 xp

 

Level 425 - 1.36293595706625e+21 xp

 

Level 426 - 1.504803298005828e+21 xp

 

Level 427 - 1.6614375414700033e+21 xp

 

Level 428 - 1.8343757671610303e+21 xp

 

Level 429 - 2.0253150486598488e+21 xp

 

Level 430 - 2.2361291071111058e+21 xp

 

Level 431 - 2.4688866983821574e+21 xp

 

Level 432 - 2.7258719141325e+21 xp

 

Level 433 - 3.009606596011656e+21 xp

 

Level 434 - 3.3228750829400065e+21 xp

 

Level 435 - 3.6687515343220606e+21 xp

 

Level 436 - 4.0506300973196976e+21 xp

 

Level 437 - 4.4722582142222116e+21 xp

 

Level 438 - 4.937773396764315e+21 xp

 

Level 439 - 5.451743828265e+21 xp

 

Level 440 - 6.019213192023312e+21 xp

 

Level 441 - 6.645750165880013e+21 xp

 

Level 442 - 7.337503068644121e+21 xp

 

Level 443 - 8.101260194639395e+21 xp

 

Level 444 - 8.944516428444423e+21 xp

 

Level 445 - 9.87554679352863e+21 xp

 

Level 446 - 1.090348765653e+22 xp

 

Level 447 - 1.2038426384046624e+22 xp

 

Level 448 - 1.3291500331760026e+22 xp

 

Level 449 - 1.4675006137288242e+22 xp

 

Level 450 - 1.6202520389278782e+22 xp

 

Level 451 - 1.7889032856888846e+22 xp

 

Level 452 - 1.975109358705726e+22 xp

 

Level 453 - 2.180697531306e+22 xp

 

Level 454 - 2.4076852768093235e+22 xp

 

Level 455 - 2.6583000663520052e+22 xp

 

Level 456 - 2.9350012274576485e+22 xp

 

Level 457 - 3.2405040778557564e+22 xp

 

Level 458 - 3.5778065713777693e+22 xp

 

Level 459 - 3.950218717411452e+22 xp

 

Level 460 - 4.361395062612e+22 xp

 

Level 461 - 4.815370553618647e+22 xp

 

Level 462 - 5.3166001327040104e+22 xp

 

Level 463 - 5.870002454915297e+22 xp

 

Level 464 - 6.481008155711513e+22 xp

 

Level 465 - 7.1556131427555385e+22 xp

 

Level 466 - 7.900437434822904e+22 xp

 

Level 467 - 8.722790125224e+22 xp

 

Level 468 - 9.630741107237294e+22 xp

 

Level 469 - 1.0633200265408021e+23 xp

 

Level 470 - 1.1740004909830594e+23 xp

 

Level 471 - 1.2962016311423026e+23 xp

 

Level 472 - 1.4311226285511077e+23 xp

 

Level 473 - 1.5800874869645807e+23 xp

 

Level 474 - 1.7445580250448e+23 xp

 

Level 475 - 1.9261482214474588e+23 xp

 

Level 476 - 2.1266400530816042e+23 xp

 

Level 477 - 2.3480009819661188e+23 xp

 

Level 478 - 2.592403262284605e+23 xp

 

Level 479 - 2.8622452571022154e+23 xp

 

Level 480 - 3.1601749739291615e+23 xp

 

Level 481 - 3.4891160500896e+23 xp

 

Level 482 - 3.8522964428949176e+23 xp

 

Level 483 - 4.2532801061632084e+23 xp

 

Level 484 - 4.6960019639322376e+23 xp

 

Level 485 - 5.18480652456921e+23 xp

 

Level 486 - 5.724490514204431e+23 xp

 

Level 487 - 6.320349947858323e+23 xp

 

Level 488 - 6.9782321001792e+23 xp

 

Level 489 - 7.704592885789835e+23 xp

 

Level 490 - 8.506560212326417e+23 xp

 

Level 491 - 9.392003927864475e+23 xp

 

Level 492 - 1.036961304913842e+24 xp

 

Level 493 - 1.1448981028408862e+24 xp

 

Level 494 - 1.2640699895716646e+24 xp

 

Level 495 - 1.39564642003584e+24 xp

 

Level 496 - 1.540918577157967e+24 xp

 

Level 497 - 1.7013120424652833e+24 xp

 

Level 498 - 1.878400785572895e+24 xp

 

Level 499 - 2.073922609827684e+24 xp

 

Level 500 - 2.2897962056817723e+24 xp

Glasabarn out

Link to comment
Share on other sites

Lagrange Interpolation is basicly n-th degree polynomial function that represents curve going thru all the data points, in the smothest posible way (so that curve has a derivative at any given point). it's used for estimating something based on previuos, known data.

 

 

 

i wouldn't do only 4th degree polynomial for experience, it has way too big error for corect estimations.

 

 

 

more about Lagrange is on google, who's intresting

1500+ total 89 cmb; 1600+ total and under 93 cmb.

02/04/07 reached all skills 60+ under lvl 90 cmb.

07/19/07 reached all skills 70+ at lvl 93 cmb.

Prayer is good for herbs
Link to comment
Share on other sites

Thats all well and good

 

 

 

A much simpler way to look at it is:

 

 

 

The xp for a skill doubles every 7 levels that you raise.

 

So level 106 would be around 26mil xp

 

 

 

Ah! Finally I understand! :anxious: I'm a bit stupid :)

sigforrooneyxu0.jpg

̢̢̮ââ¬Ã¢Ã¢ââ¬Ã

Link to comment
Share on other sites

Nerds of the world Unite

 

 

 

but seriously i did it on a ti- 84 and its 100% right =D>

 

nice work tho

1335752yv6.gif

[]*̢̮â¬Å¡ÃâÃÂ´ÃÆÃ¢â¬Å¡Ãâè)

̢̮â¬Å¡Ãâø.̢̮â¬Å¡ÃâÃÂ·ÃÆÃ¢â¬Å¡ÃâÃÂ´ÃÆÃ¢â¬Å¡Ãâø.̢̮â¬Å¡Ãâ÷*̢̮â¬Å¡ÃâÃÂ´ÃÆÃ¢â¬Å¡Ãâè) ̢̮â¬Å¡Ãâø.̢̮â¬Å¡Ãâ÷*̢̮â¬Å¡Ãâè)

(̢̮â¬Å¡Ãâø.̢̮â¬Å¡ÃâÃÂ·ÃÆÃ¢â¬Å¡Ãâô (̢̮â¬Å¡Ãâø.̢̮â¬Å¡Ãâ÷*______Now Look Down

The%20Offical%20Pharaoh%20of%20Tip.it.png

Link to comment
Share on other sites

This is where the TI-84 shines: I ran a quartic data regression model on my lists to find a formula that is as accurate as possible. Bear in mind that this produces a polynomial expression of degree 4.

 

 

 

I'd like to put a caveat on this formula.

 

Yeh well i can quardilate triplacte inquations in my head :^o

 

 

 

(im just jealous cos i thought i was clever but i have no idea what that means :wall: )

ahahaha IMA A IDIOT

cant argue there mate
Real world? *looks around confuzzled* Real world?!? :ohnoes:

sigbanksupportqd1.gif

have now quit rs :-( (but i still browse these forums :-)

Link to comment
Share on other sites

Ya, you could do that ooorrrr you could just simply download RSDemon. It already has the equation written out in a much less confusing way.

I don't make the rules, I break them...

 

May your bloodthirst be never stated, and may all your battles be glorious. Zamorak brings you strength!

Dragon+49044.png

Link to comment
Share on other sites

And also if you consider yourself going beyond level 99 (more than 13034431 xp), then the maximum level you can go in any skill is 126 at 188,884,740 experience, because you cannot go any higher than 200,000,000 experience in any skill in RS. \' . W00t!

I don't make the rules, I break them...

 

May your bloodthirst be never stated, and may all your battles be glorious. Zamorak brings you strength!

Dragon+49044.png

Link to comment
Share on other sites

There have been a lot of posts on the Experience vs Level formula

 

and using Search can reveal a wealth of information.

 

Nevertheless...

 

 

 

The Experience vs Level equation appears to follow this function

 

equation.gif

 

from "Phil". I don't know where Phil got that equation.

 

 

 

A post by Wallyweams explained how to manipulate

 

Phil's formula into a more conventional form.

 

 

 

Basically, the steps are:

 

 

 

1) Replace Floor(Stuff) with (Stuff + 1/2)

 

The Floor function throws data away so we have to add back

 

in a sort of average value for what was thrown away.

 

 

 

2) Perform the Sum function (that's the funny looking E thingy) using formulas from here.

 

 

 

3) Clean up the resulting expression and you end up with

 

Exp ~= A*2^(L/7) + B*L^2 + C*L + D

 

In other words, the proper form of the Experience vs Level function is an exponential plus a polynomial.

 

The constants A, B, C, and D come straight from Phil's formula.

 

The trouble with this answer is that it's not 100% accurate so we need to do step 4

 

 

 

4) Do a "Least Squares" curve fit on the basic form from step 3.

 

The idea here is that we need to fix what we did in step #1.

 

We do that by adjusting the values of A, B, C, and D until we get good results.

 

Wally went ahead and did that except he went and made it perfect all the

 

way to over level 126 (which is where the 200 million experience cap is).

 

To do that he increased the polynomial until it was 5th degree.

 

 

 

His final form that gives 100% accuracy is:

 

I have modified the continuous form of the skill experience formula

 

to exactly match Phil's formula up to level 132.

 

(Btw, level 132 is about 342 million experience for a single skill)

 

 

 

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,

 

and matches Phil's values for levels 101 to 132.

 

 

 

This version of the formula shows us a few things

 

-- It's basically an exponential function

 

-- the needed experience, roughly, doubles every 7 levels.

 

That means if you have level 50 in a skill then you have to earn,

 

roughly, all of that experience all over again just to reach level 57.

 

 

 

We could also use other functions for the formula (polynomial,

 

rational polynomials, exponential of a polynomial, etc)

 

But Wally's form is nice because it is derived straight from Phil's form.

 

That is, it's a continuous form of Phil's equation.

 

 

 

Now that we know a continuous form of the function that suggests

 

that the inverse of the function would be logarithmic.

 

 

 

For example, here is an inverse Experience function.

 

 

 

Let E be your experience

 

Then compute x = naturallog(E+1)

 

 

 

The your level is approximately

 

 

 

Level = (A*x^5 + B*x^4 + C*x^3 + D*x^2 + E*x + 1)/(F*x^4 + G*x^3 + H*x^2 + J*x + 1)

 

 

 

where A, B, C, D, and E are

 

0.00565991302624555

 

-0.0980045250107375

 

0.683889491465737

 

-2.15204562908116

 

2.48782566542775

 

 

 

and F, G, H, and J are

 

0.000567384324887069

 

-0.00650538625289637

 

0.0415346760409815

 

-0.201061667538983

 

 

 

The inverse Experience function is nice because it tells you how far

 

you are through a level. (Although there are easier ways to do that)

 

 

 

For the inverse function we use the Natural Log function to "straighten out"

 

the curve and then we fit it to a ratio of polynomials.

 

A ratio of polynomials was used instead of a single polynomial because having a polynomial

 

in the denominator allows us an extra amount of "wiggleness" to better fit the function.

 

 

 

So, if anyone cares, there it is.

 

Sorry in advance for all of the boring and confusing stuff.

 

 

 

Hope this helps.

 

 

 

(And yes, the numbers are ugly.)

Link to comment
Share on other sites

i think my iq dropped 10 points by reading this :shock:

 

 

 

Only 10? I think mine is all gone, sooooo confused.

Archermanme.png
Quest Cape Achieved on November 14, 2007

Iron_Archer.png

Items Acquired

Crystal Pick and Hatchet

Berzerker Ring x 3

3/28 Barrows Items

Link to comment
Share on other sites

I was just about to do this today... cause my friend wants me to help him write a fansite and I was wondering if it would be worthwhile to post the formula.

 

 

 

For all those non-math nerds, regression is a function built into your calculator that uses 2 lists of inputted data to approximate a line of best fit.

 

 

 

So for example, if you gave your calculator the values (1,2), (2,3), and (3,4), and told it to run a linear regression, it would calculate a straight line that fits those 3 points. Namely, X+1 = Y.

 

 

 

So he told his calculator to run very messy formulas and found it. :lol:

Link to comment
Share on other sites

I was just about to do this today... cause my friend wants me to help him write a fansite and I was wondering if it would be worthwhile to post the formula.

 

 

 

For all those non-math nerds, regression is a function built into your calculator that uses 2 lists of inputted data to approximate a line of best fit.

 

 

 

So for example, if you gave your calculator the values (1,2), (2,3), and (3,4), and told it to run a linear regression, it would calculate a straight line that fits those 3 points. Namely, X+1 = Y.

 

 

 

So he told his calculator to run very messy formulas and found it. :lol:

 

 

 

Yes, but like Goobre posted with the exp formula by Phil, that's already done. So I think you're friend's fansite is pretty much all set for the exp formula... next up: combat! (That's my guess lol)

Link to comment
Share on other sites

Wow, what a formula.

 

Maybe this one is a little bit easier:

 

 

 

exp needed for lvl * 1.10411419 = next lvl (got the number by dividing the levels)

 

 

 

example: lvl 75-76

 

75: 1,210,421

 

76: 1,336,443

 

 

 

now the calculations:

 

1,210,421 * 1.10411419 = 1,336,443

 

 

 

 

 

Try it with the other levels, im not kidding :P

 

 

 

However, that number is different at the lower lvls, havent found that out yet.

85slayer8by.jpg
Link to comment
Share on other sites

Clown, that looks about right...I noticed about a month ago that the XP need for the next level in a skill was about 10% greater than the XP I had received thus far (sorry if that was confusing).

 

 

 

So yeah, that sounds about right (for a simplified formula)...

70herby.png
Link to comment
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

×
×
  • Create New...

Important Information

By using this site, you agree to our Terms of Use.