Time Studies

Time Studies are special powerful upgrades bought with Time Theorems, which are bought with increasing amounts of antimatter, Infinity Points, and Eternity Points.

Resource	Base Cost	Cost Increase (multiplicative)
Antimatter	1e20000	1e20000
Infinity Points	1	1e100
Eternity Points	1	2

As Eternity Challenges are connected to the tree, some information about them can be found here too.

A study that requires a certain challenge may be purchased once the challenge has been first cleared, without needing to purchase the challenge.

ID	Pre-resiquites	Description	Details	Extra	Cost (TT)	Min Total Cost
11		Tickspeed affects First Time Dimension (With reduced effect)	/(A0.005*0.95+A0.0003*0.05) where A = tickspeed/1000		1	1
21	11	Replicanti multiplier formula is better (log2(x)^2 -> x^0.032)	log2(x)2+x0.032	The increase kicks in at about 1e180 and ends with about a 7000x higher multiplier at 1.8e308.	3	4
33	21	You keep half of your replicanti galaxies on infinity	Rounds down		2	6
31	21	Powers up existing upgrades based on infinitied stat (to the power of 4)	The 5 infinity upgrades and eternity challenge 10		3	7
41	31	Each galaxy gives a 1.2x multiplier on IP gained.	compounding on itself		4	11
22	11	Replicanti interval limit 50ms -> 1ms			2	3
32	22	You gain x() more infinitied stat (based on soft resets)	soft resets + 1		2	5
42	32	Galaxy requirement goes up 52 8ths instead of 60.	After galaxies become distant, difference is simply 8 less than normal.		6	11
e5	42				130	141
62	42 e5	You gain replicanti 3 times faster			3	14
51	41/42	You gain 1e15 times more IP			3	14
61	51	You gain 10x more EP			3	17
71	61 (-72 -73)/(201 -72/-73)	Sacrifice affects all normal dimensions	at x0.25 rate (for non-8ths)		4	21
81	71	Dimensional boost power becomes 10x	Does not work during challenge 8.	This is better than study 82 when you have less than 1498 soft resets.	4	25
91	81	Normal dimensions gain a multiplier based on time spent this eternity	x10min(eternity time(s),1800)/6		4	29
101	91	Replicantis give multiplier to normal dims equal to their amount.			4	33
72	61 (-71 -73)/(201 -71/-73)	Sacrifice affects 4th and 8th Infinity Dimension	x0.02		6	23
82	72	Dimensional boosts affect Infinity Dimensions	x1.0000109(soft resets)^2	This is better than study 81 when you have at least 1498 soft resets.	6	29
92	82	Infinity dimensions gain a multiplier based on fastest eternity time	x260/max(eternity time(s),2)		5	34
102	92	Replicanti galaxies power replicanti multiplier	x5n		6	40
73	61 (-71 -72)/(201 -71/-72)	Sacrifice affects 3rd Time Dimension	xmin(n0.005,1e1300)	This hits the cap at 1e260000 sacrifice bonus.	5	22
83	73	Dimensional boosts are 0.04% more effective for each tick upgrade gained from Time Dimensions	compounding on itself		5	27
93	83	Time dimensions gain a multiplier based on tick upgrades gained from them	*n0.25		7	34
103	93	Time dimensions gain a multiplier equal to replicanti galaxy amount			6	40
111	101/102/103	Make the IP formula better	See Breaking Infinity for the IP formula.	This increases the OoM of IP gained by about 8%.	12	45
e7	111				115	160
121	111 -122 -123	The worse your average EP/min is on last ten eternities, the more EP you get.	x(253-min(max(a/b/10,3),248))/5 a = average EP/min; b = the x5 EP mult upgrade's mult	This is better than 35x if your base EP/min is less than 780. The multiplier caps at 50x (if your base IP/min is less than 30). The multiplier reaches x1 at a base IP/min of 2480.	9	54
e6	121				85	139
131	121	Automatic replicanti galaxies are disabled, but you can get 50% more		This is the best boost in this row.	5	59
141	131	Multiplier to IP, decaying over this infinity	*max(1,1e45/15ln(A)*A^0.125) where A = infinity time in seconds * 10	This is the best multiplier in this row for infinities less than 115 seconds. This effect caps at 3326 seconds (~55.4 minutes).	4	63
122	111 -121 -123	You gain 35x more EP.			9	54
132	122	Replicanti galaxies are 30% more effective			5	59
142	132	You gain 1e25x more IP		This is the best multiplier in this row for infinities between 115 and 272 seconds.	4	63
123	111 -121 -122	You gain more EP based on time spent this eternity.	(time (s)*1.39)0.5	This is better than 35x if you spend longer than 881 seconds (~14.7 minutes) per eternity. It's the best in this row if your eternity is longer than 2176 seconds (~36.2 minutes).	9	54
e8	123				115	169
133	123	You gain replicantis 10 times slower but each galaxy is 50% more effective	See Replicanti for slowdown exceptions. Galaxy boost only affects Replicanti Galaxies.		5	59
143	133	Multiplier to IP, increasing over this infinity	x15ln(A)*A^0.125where A = infinity time in seconds * 10	This is the best multiplier in this row for infinities longer than 272 seconds.	4	63
e4	143				70	133
151	141/142/143	1e4x multiplier on all Time Dimensions		This is another 129.2 tickspeed upgrades. (165.1 with study 171)	8	71
e9	151				415	486
161	151	1e616x multiplier on all normal dimensions		This is the best boost on this row.	7	78
162	151	1e11x multiplier on all Infinity Dimensions			7	78
171	161/162	Time shard requirement for the next tickspeed upgrade goes up slower	33% -> 25%	This will get you about 28% more tickspeed upgrades from time shards.	15	93
e1	171				30	123
e2	171				35	128
e3	171				40	133
181	171 e1 e2 e3	You gain 1% of your IP gained on crunch each second.	IP to be gained on crunch. Note that you still generate IP below Infinity antimatter (how much you would be able to gain on crunch if you could crunch).		200	293
e10	181				550	843
191	181 e10	After eternity you permanently keep 5% of your infinities	You need this study to bank infinities, but you can use banked infinities without it. "Banked infinities" in any context refers to this study's effect.		500	793
211	191	Dimensional boost requirement scaling is reduced by 5			120	913
212	191	Galaxies are more effective based on your timeshards	min(log2(time shards)0.005, 1.1)	This hits the cap at 2.575e57167184 time shards.	150	943
192	181 e10	You can get beyond 1.8e308 replicantis, but the interval is increased the more you have	See Replicanti		730	1023
201	192	Pick another path from the first split			900	1923
193	181 e10	Normal dimension boost based on eternities	1.02min(eternities,1500000)	This caps at a x1.8099e12900 bonus.	300	593
213	193	You gain replicanti 20 times faster			200	793
214	193	Sacrifice boosts the 8th dimension even more	min(A8,1e46000)*min(A1.1,1e125000) where A = total sacrifice bonus	This hits the first cap at 1e5750 sacrifice bonus. This hits the second cap at 2.3e113636 sacrifice bonus.	120	913

Time Study Tree

Time studies are arranged in a top-to-bottom branching way, such that purchasing any given study gives you the choice of purchasing the next study (or studies) just below it. Each box in the tree is either a time study which will provide a boost, or an Eternity Challenge which must be purchased in order to enter it, and all the boxes cost Time Theorems to unlock.

The tree can be freely respecced at the beginning of each eternity, which can be done by pressing the button at the top of the page. Activating the respec removes all of your purchased time studies and refunds all the Time Theorems spent with no extra cost.

For each of the two-way splits, you can purchase both options if you have enough Time Theorems to afford them. This is also true for all of the studies in the bottom four rows of the tree.

For the first two three-way splits, purchasing the first study of each branch will lock up the other two choices, making them un-purchasable until a respec. The third three-way split requires you to complete all three of those challenges before being able to go farther.

Eternity Challenges

Main article: Eternity Challenges

Eternity challenges have two requirements, one being the Time Theorem cost and the other being something else that depends on the challenge (eg. a minimum number of infinities, a certain number of galaxies, etc.). The additional requirement must be met before the challenge can be purchased, which then of course still requires Time Theorems. This means that to unlock EC5 (for example) you need to reach the specified number of galaxies with an extra 130 Theorems in order to purchase it.

Once purchased, the secondary requirement is removed until you either complete the challenge or purchase a different one. The practical upshot of this is that you can now respec the tree without needing to re-do the secondary requirement again, meaning that you can try taking different sets of studies into a challenge if you can't do it the first time around. Note that purchasing the eternity challenge box itself is still required to enter.

After a challenge is completed, it is considered purchased for the sake of allowing later studies to be purchased. This means, for example, that you can get the triple replicanti speed study after completing EC5 (for the first time) without spending 130 Theorems on the EC box. However, you still need to spend the Theorem cost to enter a challenge again even after completing it previously.

You also retain the rewards from each EC without needing to purchase the EC studies again.