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Due to the difference in how the experiments are carried out, I've made several experiments to determine how the EXP and levels are determined:

Testing for these datas used samples from:

https://docs.google.com/spreadsheets/d/1c8KrMTW-64WzitmHQob1QkL21b-j94Jym0VyQmGBTmo/edit?usp=sharing

This table represents an estimation of the EXP required and EXP limits for each level:

Note: The formula for the EXP needed is: (100 + (40*(n-1))

Level EXP Required EXP needed for next Level 
1 0 100
2 100 140
3 240 180
4 420 220
5 640 260
6 900 300
7 1200 340
8 1540 380
9 1920 420
10 2300 460
11 3840 500
12 4420 540

This table represents an estimation of how much a Spirit gives: 

Values encased in () are estimations

Rarity EXP Rarity Exp
C1.0 100 SR3.5 1400
C1.5 150 SR4.0 1600
UC1.5 300 SR4.5 1800
UC2.0 400 SR5.0 2000
UC2.5 500 Prince 1500
R2.5 750 Queen 3500
R3.0 900 King
R3.5 1050 Joker

BONUSES:

- Using a same element adds a 10% bonus.

- If the Base Spirit matches the element day, it receives a bonus 10% EXP.

- When merging multiple spirits at one time, there seems to be a bonus of 50% EXP compared to when the spirits were added one-at-a-time. (needs further testing).

UPDATE: There seems to be some rules regarding the multi merge. Couldn't replicate the 50% bonus

Raw Data

First Mother bonus - feeding 1 First Mother at a time starting from level 55, 0%.
HP	ATK	SPD	HP	ATK	SPD	LV	
			1618	407	377	55	0%
48	12	11	1666	419	388	55	77%
48	12	11	1727	435	403	56	54%
49	12	11	1789	451	418	57	30%
49	12	11	1852	467	433	58	13%
6	12	11	1858	479	444	58	94%

Yum Kaax bonus - feeding 1 Yum Kaax at a time starting from level 40, 0%.
HP	ATK	SPD
20	7	6	40, 59%
20	7	6	41, 18%
20	7	6	41, 77%
20	7	6	42, 34%
42	15	13	43, 19%
21	7	6	43, 75%
3	7	6	44, 29%
---	7	6	44, 84%
---	7	7	45, 37%
---	5	7	45, 91%

Barong bonus - feeding 1 Barong at a time starting from level 40, 0%.
HP	ATK	SPD	HP	ATK	SPD	LV	
			1450	355	200	40	0%
29	7	4	1479	362	204	40	59%
29	7	4	1525	374	210	41	18%

Adaptive Camo bonus - feeding 1 Adaptive Camo at a time starting from level 43, 58%.
HP	ATK	SPD
19	7	7	44, 5%
19	7	7	44, 50%
19	7	7	44, 95%
19	7	7	45, 40%
19	7	7	45, 84%
19	7	7	46, 32%
19	7	7	46, 80%
19	7	8	47, 27%
8	15	16	47, 97%

Gunslinger bonus - feeding 1 Gunslinger at a time starting from level 40, 0%
HP	ATK	SPD	HP	ATK	SPD	LV
--	--	--	1010	345	360	40	0%
20	6	7	1030	351	367	40	65%
20	6	7	1060	361	379	41	30%
20	6	7	1080	367	386	41	94%
20	7	7	1110	379	398	42	57%
20	7	7	1141	390	410	43	19%
20	7	7	1161	397	417	43	80%
21	7	7	1192	408	429	44	40%
19	14	15	1221	427	449	45	29%
--	14	15	1231	445	469	46	9%
--	6	1	1231	451	470	46	61%

Greys bonus - feeding 1 Greys at a time starting at level 36, 72% (1218/434/223)
HP	ATK	SPD	HP	ATK	SPD	LV
--	--	--	1218	434	223	36	72%
24	8	4	1257	449	230	37	48%
24	8	4	1296	463	237	38	22%
24	8	4	1320	471	241	38	73%
25	9	4	1358	487	248	39	71%

Ziz bonus - feeding 1 Ziz at a time starting at level 40, 0%
--	--	--	1525	395	240	40	0%
30	7	4	1555	402	244	40	69%
30	8	4	1601	415	251	41	38%
31	8	4	1647	428	257	42	6%
31	8	4	1678	436	261	42	72%
31	8	4	1725	448	268	43	37%
7	8	5	1748	461	275	44	2%
--	8	5	1748	469	280	44	66%
--	8	5	1764	482	288	45	29%
--	8	5	1764	490	293	45	91%
--	8	5	1779	503	300	46	52%
--	1	5	1795	509	308	47	12%
--	--	5	1795	209	313	47	72%
--	--	5	1811	513	320	48	31%
--	--	5	1811	513	325	48	89%
--	--	10	1826	518	338	49	75%
--	--	5	1842	523	345	50	0%

Werewolf bonus - feeding 1 Werewolf at a time starting from level 1, 0%.
HP	ATK	SPD	HP	ATK	SPD	LV	
8	2	1					
9	2	1					
9	2	1	No data on stats or XP taken until the following point.
9	2	1	698	188	125	9	66%
10	2	1	729	196	129	10	65%
10	2	1	759	204	133	11	56%
10	2	1	789	213	138	12	40%
11	3	2	841	228	146	14	12%
11	3	2	852	231	148	14	70%
11	3	2	884	240	153	15	0%
11	3	2	895	243	155	15	66%
11	3	2	926	253	161	16	31%
---	3	2	926	256	163	16	94%
---	3	2	946	265	168	17	54%
---	7	4	967	278	175	18	41%
---	3	2	967	281	177	18	97%
---	7	4	987	294	184	19	78%
---	3	2	1007	303	190	20	30%
---	3	2	1007	306	192	20	81%
---	2	2	1028	315	197	21	31%
---	---	2	1028	315	199	21	80%
---	---	2	1048	321	204	22	32%
---	---	4	1069	327	211	23	9%
---	---	2	1069	327	213	23	49%
---	---	5	1089	333	222	24	31%
Leveled to 25		1109	340	225	25	0%
---	---	2	1109	340	227	25	45%
---	---	2	1109	340	229	25	91%
---	---	2	1130	346	234	26	35%

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