Eternity Upgrades

Upon reaching Eternity, you will unlock some upgrades boosting Infinity Dimensions and Time Dimensions. These cost EP to buy, earned from doing eternities.
Effect 	Cost (EP)	Details
Infinity Dimensions multiplier based on unspent EP (x+1) 	5 	where x = unspent EP
You gain Infinity Dimension multiplier based on eternities ((x/200)^log4(2x))	10 	(This has a soft cap at 100,000 eternities.)
((A/200+1)log4(2A+1))*max((B/200+1)*log4(2B+1),1)
where A = # of Eternities (max 100,000)
and B = # of Eternities - 100,000
In other words:
Below 100,000 eternities: (A/200+1)log4(2*A+1)
Above 100,000 eternities: [501log4(200001) ≈
5.91e23] * (B/200+1)*log4(2B+1)
Infinity Dimensions multiplier based on sum of Infinity Challenge times 	50,000 	230/max(i,0.61)This is actually programmed to cap at 0.75 with the "Never again" achievement to reduce it to 0.61. However, because you obtain "Never again" once you reach 0.75, the cap of 0.75 can be ignored completely.Cap: 6.379e14x
Your achievement bonus affects Time Dimensions 	1e16 	Bonus multiplier, seen in achievements
Time Dimensions are multiplied by your unspent time theorems 	1e40 	min 1
Time Dimensions are multiplied by days played 	1e50 	not rounded (12 hours = 0.5x multiplier)
=== x5 EP Multiplier===
Unlike the IP Multipliers, you can buy EP multipliers without buying all 6 upgrades. It has a base cost of 500 EP and the price increases depending on the price of the upgrade. Once the price of the upgrade reaches a certain value, the price will be recalculated with the new price multiplier as if every purchase before the price recalculation also increases the price by the factor after the recalculation, increasing the price ("price jump").
Starting Price	Starts after 	Increase	Ends at
500 EP 	0 purchases 	x50 	1e100 EP
5e118 EP 	58 purchases 	x100 	1.79e308 EP
4.38e415 EP 	153 purchases	x500 	1e1300 EP
5e1445 EP 	481 purchases	x1e3 	1e4000 EP
After 1,333 purchases (5e4001 EP) the cost formula changes to
 1,000n+(n-1,334)^1.2*500
where n is the amount of purchases.
This doesn't have a large price jump when you first reach it, but it scales the price extremely quickly as more upgrades are bought.Category:UpgradesCategory:Eternity