Transmute

Transmute
School	Evocation
Accumulated	No
Persistent	No
Level	76
Cost	2000 Shards 100 Mana Gems
Duration	Instant
Behavior	Instant
Description	Instantly transforms Mana Gems into other random Sources.

Details

Grants a number of sources of a single type, equal to:
$A+\lfloor {\log }_{10}(\frac{M}{C_S*100}+1)\rceil$
Chooses from source types where the cost of the final granted source would not exceed realm mana:
$C_S<M$
Note: Cannot grant Mana Gems.

where:

• $A=\lfloor {\log }_{10}(E)+100\rceil$
• $E=\text{Evocation Efficiency}$
• $M=\text{All Mana This Realm}$
• $C_S=B_S\times {G_S}^{N+A}$
• $B_S=\text{Base Cost of Source S}$
• $G_S=\text{Cost Growth of Source S}$
• $N_S=\text{Current Amount of Source S}$

See also: Sources

Example

With 1e100 Mana This Realm, 1000 of each source, 1e22% Evocation Efficiency:

• $M=\text{All Mana This Realm}=1e100$
• $E=\text{Evocation Efficiency}=1e22\%=1e20$
• $N_S=\text{Current Amount of Source S}=1000$
• $A=\lfloor {\log }_{10}(1e20)+100\rceil =120$

This gives the following table of source costs:

Source Costs
Source	Base Cost	Cost Growth	$C_S$	Sources Granted
Mana Gem	15	1.15	2.34e73	155
Grimoire	240	1.17	5.60e78	149
Spell Fountain	3200	1.18	1.03e84	144
Enchanted Tree	54600	1.19	2.24e89	139
Laboratory	1180000	1.2	5.69e94	133
Circle of Power	2.8236e8	1.21	1.48e101	127
Dimensional Rift	6.22125e9	1.22	3.29e106	121
Nexus	2.221913e11	1.23	1.1e112	116

A source is eligible if it's not Mana Gems and if the cost of the (current amount + A)th one is less than Mana this Realm. In this example, Circles of Power would be increased by 127 to a total of 1127. The 1127th Circle would cost 1.48e101 Mana, which is greater than the 1e100 Mana this Realm, so it is not a valid target. Dimensional Rifts and Nexuses also cost too much, so only Grimoires, Spell Fountains, Enchanted Trees, or Laboratories could be granted.