Singularity Functions

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SFs after incrementyverse — Singularity Function (in test, post-Incrementyverse)

Singularity Functions are a skill tree-like feature that unlocks at Singularity level 20.

You get 1 Function every Singularity level. Functions are used to buy upgrades in a skill tree-like fashion.

The upgrades are listed below. Also, there are Singularity Function upgrades stated as Classified. This means that they aren't used and they have not been implemented yet.

If you want to Refund, You will spent 1 Refund Points, you can gain then from Collapse or BM1 reward.

You also can buy all Singularity Functions, buying order from top to bottom, left to right, they cost 100 Refund Points.

You also can Scroll to Bottom and Top with just one click, they placed at below your Functions display.

List of Singularity Functions[]

List of Singularity Functions
Abbreviation*	Description	Cost	Requirement	Details	Minimum Cost
SFU11	Start. Singularity doesn't consume Dark Manifolds	Free	None		0
SFU21	Reduce ℵ_ω singularity scaling to x30.	24 functions	SFU11	The normal upgrade scaling is 100x, 26% slower scaling.	24
SFU22	Manifolds affect Decrementy gain	15 functions	SFU11		15
SFU23	Reduce Dark Manifold singularity scaling to x4.	20 functions	SFU11	The normal upgrade scaling is 5x, 14% slower scaling.	20
SFU31	Second row of Incrementy applies to Dark Manifolds	6 functions	SFU22	eIU1 and eIU2 makes Dark Manifolds become 3.78x more effective and eIU3 reduces cost scaling to $2^x$ .	21 (6 after BM3)
SFU32	Third row of Incrementy applies to Decrementy	10 functions	SFU22	eIU5 makes decrementy increase faster based on your Dynamic Factor cap, eIU4 and eIU6 are just like the normal ones (100x Dynamic increase and 2x OP) One of the upgrades that greatly increase decrementy growth speed.	25 (10 after BM3)
SFU41	Unlock the Portal Need: 90 Achievements	Free	90 Achievements	"Portal" may refer to the Incrementyverse.	0
SFU42	Quadruple OP and Decrementy from all sources	2 functions	SFU31 or 32	Increases Factor Boosts per second and decrementy by a large amount.	23 (8 after BM3)
SFU43	You found an easter egg! Good job!	Free	No	This is not an upgrade, but an easter egg that is found by clicking to the right of SFU42. Finding the egg does nothing.	0
SFU51	Unlock Baseless Milestones Need: 34 Challenge Completions	Free	SFU42 and 34 challenge completions	In Challenge 4, reach an Ordinal requirement to complete Baseless Milestones. There are 4 Baseless Milestones which are implemented.	23 (8 after BM3)
SFU52	Multiply aleph power multipliers by 1.5	12 functions	SFU42	Necessary for the C8x13 completion with SFU32 and 42.	35 (20 after BM3)
SFU61	You can reach ω^ω4 in challenge 8, but in base 5 only	17 functions	SFU51	You need 30,517,578,125 clicks instead of 16,777,216 clicks to reach ω^ω3, but you will hit a cap with 95,367,431,640,625 clicks. You also need to manually Factor Shift to make sure the Base is set to 5. Necessary for C8x14 and C8x15.	40 (25 after BM3)
SFU62	Manifolds are buffed. ( $x^4$ )	15 functions	SFU51	Another upgrade that significantly increases Decrementy growth speed with SFU32.	38 (23 after BM3)
SFU63	ℵ₀ multiplier divides Challenge 8 goals	42 functions	SFU51	Useful to gain more C8 completions.	65 (50 after BM3)
SFU71	Each unspent function increases ℵ₂ effect by 40% Need: 36 Challenge Completions	Free	SFU61 and 36 Challenge completions	Stacks additively.	40 (25 after BM3)
SFU72	Singularity effect is raised to the 1.4	16 functions	SFU62		54 (39 after BM3)
SFU73	Square root the fourth Factor Shift cost	Free	SFU63 and second set of Omega Challenges unlocked	Required for a specific Omega Challenge.	65 (50 after BM3)
SFU81	Good luck	1,000 functions	SFU71, 72, or 73	Can be bought when reaching the Incrementyverse.	1,040 (1,000 after Incrementyverse)

List of singularity functions after Incrementyverse
Abbreviation*	Description	Cost	Requirement	Details	Minimum Cost
SFU91	Unlock incrementy doubler autobuyer (IU2)	1,500 functions	SFU81	Required Automation.	2,500
SFU92	Unlock incrementy multiplier autobuyer (IU3)	2,500 functions	SFU81 and 3250 remaining functions		4,250
SFU93	Unlock incrementy power autobuyer (IU1)	1e6 functions	SFU81		1,001,000
SFU101	Gain an additional incrementy multiplier doubler upgrade based on unspent functions	Free	SFU91 and 20 remaining functions	Multiply IU2 boost Formula: $max(1,\lfloor {\frac {f}{3}}\rfloor )$ , where $f$ is the unspent Functions.	2,520
SFU102	Incrementy boost incrementy mult upgrade multiplier	5,000 functions	SFU92	Formula: $\log _{10}(max(i,10))^{0.1}$ , where $i$ is Incrementy.	8,500
SFU103	Incrementy upgrade autobuyer are 10x faster	e1e6 functions	SFU93		e1e6
SFU111	Each unspent function makes the doubling autobuyer 0.004x/0.4% faster	Free	SFU101 and 600 remaining functions	It means SFU92	3,100
SFU112	This upgrade to the left (SFU111) is squared	40,000 functions	SFU102		48,500
SFU113	All incrementy upgrade autobuyers are 5x faster	125 functions	SFU101/103	Make T2 autobuyer faster 'over time'	2,645
SFU114	This upgrade to the left (SFU113) is squared	200,000 functions	SFU102		208,500
SFU115	Incrementy upgrade autobuyer are another 10x faster	e1e8 functions	SFU103		e1e8
SFU121	You can only buy at max 1 function upgrade per row	0 functions	SFU115 and Fractal Engine	Locks you into one of 2 paths. Prerequisite to both.	e1e8
SFU131	Each Fractal Shift that gives no Energy Orb gives +150% production.	10{2}100 functions	SFU121	Locks you into the left path.	10{2}100
SFU132	Energy Orb effectiveness speed *1.75	10{4}100 functions	SFU121	Locks you into the right path.	10{4}100
SFU141	Fractal Shifts give a (T_{Fractal Shifts}/10)x production	0 functions	SFU131 and 5 Fractal Shifts		10{2}100

*In the Abbreviation, the first number refers to the row of the upgrade, and the second to the column. SFU72 means 7th row down, 2nd column over

Alternative Abbreviations[]

In community resources Singularity Function builds often refer to SFUs as SFs, and display a full build in an Array such as [11, 22, 31, 42] meaning SF11, SF22, SF31, SF42.

When Singularity Functions were first introduced some people made builds by referring to upgrade paths as left, center, right. The previous example build would be LCLC. This could also be LCLR if you don't count the easter egg as a function.

Trivia[]

Omega Challenge 6 limits your ability to purchase Singularity Functions.
If you are below Singularity level 20, instead of displaying the skill-tree, it displays the message "Get Rekt Weakling! You need a larger singularity before you even think about unlocking this mechanic!"
For some reason after you buy SFU11 for first time, the line doesn't appear.
For some reason after Fractal Shift, the Functions doesn't light up, even if they affordable, it happen in several functions. (Image shows SFU91 and SFU114)
If you bought all Pre-Incrementyverse Functions except "Good Luck", they will cost 179 Functions, or 120 after you get BM3.
If you bought all between Incrementyverse and Fractal Engine Functions include "Good Luck", they will cost 1(98,999,999 zeroes)1(999,993 zeroes)1,250,125 Functions (total 100,000,001 digits)

Glitches[]

Note: These currently happen in current versions of the game and is currently listed in the Bugs tab.