Research:Broomstick/Archive 1
This is the old data before the code to map adventuring.direction to broomstick slots was changed/fixed.
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Research
I've fitted a curve to the table originally given and extrapolated the values for 21-23 slots.
The equation is:
Bonus = 1.664 exp(0.240 * slots) + 67
This is accurate to +/- 4 over the known table.
If anyone could verify the bonuses needed for 21-23, that would be great! --Chat 10:07, 27 June 2009 (UTC)
Old table of experimental results
| Ad.di bonus |
Broom slots |
|---|---|
| 54 | 12 |
| 75 | 12 |
| 88 | 12 |
| 104 | 13 |
| 110 | 13 |
| 115 | 14 |
| 119 | 14 |
| 120 | 14 |
| 125 | 14 |
| 127 | 15 |
| 128 | 15 |
| 129 | 15 |
| 130 | 15 |
| 132 | 15 |
| 133 | 15 |
| 135 | 15 |
| 136 | 15 |
| 137 | 15 |
| 139 | 15 |
| 140 | 15 |
| 141 | 15 |
| 142 | 15 |
| 143 | 15 |
| 145 | 15 |
| 146 | 16 |
| 148 | 16 |
| 149 | 16 |
| 150 | 16 |
| 151 | 16 |
| 152 | 16 |
| 153 | 16 |
| 154 | 16 |
| 155 | 16 |
| 156 | 16 |
| 157 | 16 |
| 158 | 16 |
| 159 | 16 |
| 160 | 16 |
| 161 | 17 |
| 162 | 17 |
| 163 | 17 |
| 164 | 17 |
| 172 | 17 |
| 177 | 17 |
| 179 | 17 |
| 187 | 17 |
| 191 | 18 |
| 193 | 18 |
| 196 | 18 |
| 207 | 18 |
| 209 | 18 |
| 212 | 18 |
| 214 | 18 |
| 218 | 18 |
| 222 | 18 |
| 223 | 18 |
| 224 | 18 |
| 225 | 18 |
| 226 | 19 |
| 227 | 19 |
| 228 | 19 |
| 230 | 19 |
| 232 | 19 |
| 234 | 19 |
| 236 | 19 |
| 237 | 19 |
| 240 | 19 |
| 241 | 19 |
| 242 | 19 |
| 244 | 19 |
| 245 | 19 |
| 246 | 19 |
| 247 | 19 |
| 248 | 19 |
| 249 | 19 |
| 252 | 19 |
| 253 | 19 |
| 254 | 19 |
| 256 | 19 |
| 264 | 19 |
| 266 | 20 |
| 273 | 20 |
| 274 | 20 |
| 275 | 20 |
| 281 | 20 |
| 294 | 20 |
| 299 | 20 |
| 304 | 20 |
| 310 | 21 |
| 314 | 21 |
| 320 | 21 |
| 321 | 21 |
| 323 | 21 |
| 325 | 21 |
| 328 | 21 |
| 330 | 21 |
| 333 | 21 |
| 337 | 21 |
| 342 | 21 |
| 343 | 21 |
| 344 | 21 |
| 348 | 21 |
| 349 | 21 |
| 351 | 21 |
| 353 | 21 |
| 354 | 21 |
| 355 | 21 |
| 357 | 22 |
| 358 | 22 |
| 360 | 22 |
| 361 | 22 |
| 362 | 22 |
| 363 | 22 |
| 365 | 22 |
| 366 | 22 |
| 367 | 22 |
| 370 | 22 |
| 371 | 22 |
| 372 | 22 |
| 374 | 22 |
| 375 | 22 |
| 376 | 22 |
| 377 | 22 |
| 379 | 22 |
| 380 | 22 |
| 381 | 22 |
| 382 | 22 |
| 383 | 22 |
| 384 | 22 |
| 385 | 22 |
| 387 | 22 |
| 389 | 22 |
| 390 | 22 |
| 392 | 22 |
| 393 | 22 |
| 395 | 22 |
| 396 | 22 |
| 398 | 22 |
| 399 | 22 |
| 400 | 22 |
| 401 | 22 |
| 402 | 22 |
| 403 | 22 |
| 404 | 22 |
| 405 | 22 |
| 406 | 22 |
| 409 | 22 |
| 411 | 23 |
| 412 | 23 |
| 413 | 23 |
| 415 | 23 |
| 416 | 23 |
| 417 | 23 |
| 419 | 23 |
| 420 | 23 |
| 469 | 23 |
(Data changed, need to recheck formulas.)
Derived formula
- Above data is fit by:
slots = floor(0.6 * sqrt(bonus - 125) + 12.875)
- --Chat 20:55, 8 April 2010 (UTC)
bonus = ceiling( power( (slots - 12.875)/0.6, 2 ) + 125 )
Calculated table
This formula gives the following table:
| Broom slots | Adventuring.direction bonus |
|---|---|
| 13 | 126 |
| 14 | 129 |
| 15 | 138 |
| 16 | 153 |
| 17 | 173 |
| 18 | 198 |
| 19 | 230 |
| 20 | 267 |
| 21 | 309 |
| 22 | 357 |
| 23 | 410 |
| 24 | 469 |
| 25 | 534 |
| 26 | 604 |
| 27 | 680 |
| 28 | 761 |
| 29 | 848 |
| 30 | 940 |
Frazyl 06:31, 9 April 2010 (UTC)
Discussion about results
This is very anecdotal, but I do seem to remember that my lost research (when my bonus was lower) did say that slot 18 was indeed 198 and slot 20 at 267 feels right too. Anyone object to putting this new table in the page? Frazyl 06:39, 9 April 2010 (UTC)
I just noticed that my edit for 19 slots with 226 bonus got changed on 10/04. I had originally put it in after I had received my additional slot. Is there a reason not to put it back in? --Gunde 18:29, 2 July 2010 (UTC)
- Many slots in the old versions were proven incorrect.
- The new data was taken from a formula that fitted experimental data I collected by wearing stat items, getting stat loss from eating thousand eggs, etc. Unfortunately it is very difficult for me to get my bonus in the 200 to narrow it down.
- If you want to improve the reliability of the values then you can contribute as many bonus-slot pairs as possible especially around the slot change included in the table above so we can work out another formula.
- Did you check the slots for 224, 225, 226, 227, 228 bonus? Just one bonus doesn't help as much, seems to show something is wrong though.
- One easy way to get more bonus data is to eat a hundred year old egg, then check ad.dir/slot several times mixing with other stat modifiers as you get -1 dex, then -2 dex, etc.
- Using stat items like dex gloves, bronze helm, flat cap (alone and together, the order worn changes the result) as well as int tea, mocking yourself and other stuff allows you more variation of bonus at each step.
- --Frazyl 01:50, 3 July 2010 (UTC)
- Ok I added some more bonuses in the table, if you can confirm a few more bonuses we might be able to try another formula --Frazyl 02:46, 3 July 2010 (UTC)
- I just know that Andschana has permanently 19 slots on her broom since she hit 226 bonus, she is now at 253. I added a few more values to pad out the ranges. --Gunde 10:33, 3 July 2010 (UTC)
Finally ticked my bonus over to 469 - no 24th slot. Formula's still off somewhere...I'll input it when I finally get the new slot. Could be a while...direction tms have finally slowed down. --Kate
