Assuming there’s been a 20% buff (Mimics) and you play E12 exclusively, then I believe you should expect to have (after one full year of playing, on average):
1 E12 chest per day, for a total of 365 E12 chests:
22 Gaards, 28 Yasmines, 49 Orpheus, 15 Aranaeas, 6 Anuses, 2 Nyshas.
2 E12 chests/day, 730/yr:
44 Gaards, 56 Yasmines, 97 Orpheus, 29 Aranaeas, 12 Anuses, 5 Nyshas.
5 E12 chests/day, 1825/yr:
110 Gaards, 140 Yasmines, 243 Orpheus, 73 Aranaeas, 30 Anuses, 12 Nyshas.
10 E12 chests/day, 3650/yr:
219 Gaards, 280 Yasmines, 487 Orpheus, 146 Aranaeas, 61 Anuses, 24 Nyshas.
15 E12 chests/day, 5475/yr:
328 Gaards, 420 Yasmines, 730 Orpheus, 219 Aranaeas, 91 Anuses, 36 Nyshas.
20 E12 chests/day, 7300/yr:
438 Gaards, 561 Yasmines, 973 Orpheus, 292 Aranaeas, 122 Anuses, 49 Nyshas.