Dragonwilds:Experience

Template:External Experience, commonly known as XP, is gained through skill-related tasks or through items that grant fixed amounts and serves as a measure of progress in a skill.

Experience table

Level	Exp.	Exp. Diff		Level	Exp.	Exp. Diff		Level	Exp.	Exp. Diff		Level	Exp.	Exp. Diff
1	0	0		26	3,512	360		51	44,581	3,987		76	191,278	7,600
2	33	33		27	3,910	398		52	48,717	4,136		77	199,022	7,744
3	70	37		28	4,349	439		53	52,997	4,280		78	206,911	7,889
4	111	41		29	4,833	484		54	57,421	4,424		79	214,944	8,033
5	156	45		30	5,367	534		55	61,990	4,569		80	223,122	8,178
6	206	50		31	5,957	590		56	66,702	4,712		81	231,444	8,322
7	261	55		32	6,608	651		57	71,560	4,858		82	239,910	8,466
8	322	61		33	7,326	718		58	76,562	5,002		83	248,521	8,611
9	389	67		34	8,118	792		59	81,708	5,146		84	257,276	8,755
10	463	74		35	8,993	875		60	86,998	5,290		85	266,176	8,900
11	545	82		36	9,958	965		61	92,433	5,435		86	275,219	9,043
12	636	91		37	11,023	1,065		62	98,012	5,579		87	284,407	9,188
13	736	100		38	12,199	1,176		63	103,735	5,723		88	293,740	9,333
14	847	111		39	13,496	1,297		64	109,603	5,868		89	303,217	9,477
15	969	122		40	14,929	1,433		65	115,616	6,013		90	312,838	9,621
16	1,104	135		41	16,510	1,581		66	121,772	6,156		91	322,604	9,766
17	1,253	149		42	18,255	1,745		67	128,073	6,301		92	332,514	9,910
18	1,417	164		43	20,181	1,926		68	134,518	6,445		93	342,568	10,054
19	1,598	181		44	22,307	2,126		69	141,108	6,590		94	395,129	52,561
20	1,798	200		45	24,654	2,347		70	147,842	6,734		95	447,689	52,560
21	2,018	220		46	27,245	2,591		71	154,721	6,879		96	543,044	95,355
22	2,261	243		47	30,105	2,860		72	161,743	7,022		97	666,881	123,837
23	2,529	268		48	33,262	3,157		73	168,910	7,167		98	819,200	152,319
24	2,825	296		49	36,747	3,485		74	176,222	7,312		99	1,000,000	180,800
25	3,152	327		50	40,594	3,847		75	183,678	7,456

Formulae

The amount of experience required to advance to level <math>L</math> is calculated using a piecewise function:

<math display="block">\text{Total XP}(L) = \begin{cases} \lfloor c \sum_{i=1}^{L-1} \lfloor i + 300 \cdot 2^{i/7} \rfloor \rfloor & \text{if } 1 \le L \le 93 \\ 342,568 + \lfloor 52,560.5(L - 93) \rfloor & \text{if } 94 \le L \le 95 \\ 14,241(L - 95)^2 + 81,114(L - 95) + 447,689 & \text{if } 96 \le L \le 99 \end{cases}</math>

Levels 1-93

The first part of the piecewise function utilises RuneScapeTemplate:'s standard recursive summation notation, taking the previous level's experience and adding an exponentially growing term, using:

<math>\lfloor i + 300 \cdot 2^{i/7} \rfloor</math>

Levels 94-95

Levels 94 and 95 are approximately linear, starting at level 93 (342,568 experience), then jumping to level 94 (395,129 experience) by 52,561, and to level 95 (447,689 experience) by 52,560.

Levels 96-99

Calculating the quadratic coefficients

Levels 96 to 99 use the quadratic equation, <math>f(x) = ax^2 + bx + c</math>, where a is half of the second difference (a.k.a, taking another difference after subtracting the difference needed from level 95 to 96 and level 96 to 97). This is shown with the following:

<math>f(96) - f(95) = 543,044 - 447,689 = 95,355</math>
<math>f(97) - f(96) = 666,881 - 543,044 = 123,837</math>
<math>123,837 - 95,355 = 28,482</math>
<math>a = \frac{28,482}{2} = 14,241</math>

Calculating the determinant (b)

Since c is the starting value at level 95 (447,689 experience), use <math>f(x) = ax^2 + bx + c</math> and substitute f(x) for level 96 (with 543,044) to get the b coefficient:

<math>543,044 = 14,241 + b + 447,689</math>
<math>b = 81,114</math>, making the following function from level 96 to 99:

<math>14,241(L - 95)^2 + 81,114(L - 95) + 447,689</math>