Crafting

Crafting is how you combine Eggfinity Stones to make new stones, Ingredients to make new ingredients, and Artifacts and Ingredients to make new artifacts.

Default Crafting Sound

Alternate Crafting Sound (unused)

Golden Egg Cost[]

The GE cost to craft anything in the game goes down as you craft that item, until you've crafted 300 of it, at which point its cost is 1/10 of the original, rounded down. This is the formula:

${\begin{aligned}DiscountedPrice&=\left\lfloor OriginalPrice\left(1-0.9\times min\left(1,{\frac {PreviousCrafts}{300}}\right)^{\frac {1}{5}}\right)\right\rfloor \\\end{aligned}}$

The Original Price for artifacts and stones can be calculated with the following formula: ${\begin{aligned}{\text{Original Price}}&=f{\Biggl [}1+10{\biggl (}Quality-1.7{\biggr )}^{3}{\biggl (}1-\ln {\Bigl (}OddsMultiplier{\Bigr )}{\biggr )}^{\left(1-I\right)}{\Biggr ]}\\f&={\begin{cases}3,&{\text{ingredients}}\\4,&{\text{stones}}\\10,&{\text{artifacts}}\\\end{cases}}\\I&={\begin{cases}1,&{\text{ingredients}}\\0,&{\text{artifacts and stones}}\\\end{cases}}\\\end{aligned}}$ Formula provided by discord user @zippyh (735136733766877205)

Please note that Artifact Quality and Odds Multiplier are values only accessible through the game's API, and as such are not intended to be used by players. However, it is far far easier to simply get the original price using the Artifact Explorer.

Crafting costs can also be lowered by crafting artifacts during a Crafting Sale Special Event. These events normally occur on Sundays (9 AM PST). It is typically every other Sunday, alternating with Epic Research sales. The sale is normally 30% off, i.e. you pay 70% of the cost, compounding normally with the previous craft discount mentioned above.

Golden Egg Profit[]

Because consumption data for any Common artifact, stone, or ingredient is a fixed constant, this means you can run a golden egg profit on some particular stones by consuming what you make, so it is a fool's errand determining what else might have "good" experience per golden egg - nothing can beat the infinite return on those. Here they are, with how many crafts you need to run a profit. Note that all profit is greater during a crafting sale, and hence likewise you will hit the "break even" point faster during a crafting sale.

T2 Shell Stones consume for 57 with a baseline cost of 262. This means your 147th stone is free (it costs 57 to make) and starting with your 296th stone you make your maximum profit of 31.
T2 Tachyon Stones consume for 73 with a baseline cost of 495. This means your 228th stone is free (it costs 73 to make) and starting with your 300th stone you make your maximum profit of 24.
T2 Lunar Stones consume for 67; they have a baseline cost of 774, which means even at 300 crafts you lose 10 due to the cost of 77. However, during a crafting sale, the crafting cost will usually dip enough that with enough crafts, you can run a profit.
- Originally, these had a baseline cost of 406. This meant your 205th stone was free (it cost 67 to make) and starting with your 300th stone you reached your maximum profit of 27.

Artifact Rarity[]

To determine the odds that a crafted artifact is rare, epic, or legendary, first you must understand that each individual craftable artifact - meaning a T4 metronome counts as distinct from a T3 metronome, for example - has arbitrary constants associated with each rarity. For example, a T4 metronome's constants are Rare 33, Epic 160, Legendary 1000. You can consider this the item's "base rate"; lower is better, and for the rarest craftable rarity (legendary for a T4 metronome, but epic for a T4 totem, for example), it is equivalent to how many of the item you would need to craft at level 1 and without counting previous crafts to craft 1 item of that rarity. The full formula is shown below^[1].

$ShinyChance=min\left(Constant,min\left({\frac {1}{10}},{max\left(10,{\frac {Constant}{LevelMultiplier}}\right)}^{0.3min\left(1,{\frac {PreviousCrafts}{400}}\right)-1}\right)\right)$

This number is calculated for Rare, Epic, and Legendary individually; then, each Legendary has the actual chance calculated to be Legendary. Epics have their calculated chance minus the odds that you crafted a Legendary instead, and similarly, Rares have their calculated chance minus the odds you crafted an Epic or Legendary.

The table below shows the constants for all shiny variants of artifacts. Empty cells indicate non-existent variants of artifacts. These base rates are calculated through ${\frac {\text{Common Odds Mult}}{\text{Shiny Odds Mult}}}$ . These values are typically only accessible through the API, however they are also found on this website, in the table at the bottom.

**Constant (Base Rate) for each Artifact.**
Artifact	T2		T3			T4
Artifact	Rare	Epic	Rare	Epic	Legendary	Rare	Epic	Legendary
Light of Eggendil	15		10				100	1000
Book of Basan				100			150	1000
Tachyon Deflector			10			120	500	1200
Ship in a Bottle			10			100	400	1200
Titanium Actuator			10				200	1000
Dilithium Monocle							150	1000
Quantum Metronome	15		10	80		33	160	1000
Phoenix Feather			10			40		1000
The Chalice		80	10	100			150	1000
Interstellar Compass			10			40	200	1000
Carved Rainstick							170	1000
Beak of Midas			11			50		1500
Mercury's Lens	10		10			40	250	1000
Neodymium Medallion	12		150			40	200	1000
Gusset		100	10				150	1000
Tungsten Ankh	25		10		1000	40		1000
Aurelian Brooch			10	100		40	180	1000
Vial of Martian Dust	10			100		40		1000
Demeters Necklace	30		20	100		40	140	1000
Lunar Totem	30		20			30	250	1500
Puzzle Cube		80	10			50	170	1000

Level Multiplier[]

Your crafted item's arbitrary constants are divided by your item multiplier, and if the result is less than 10, the result is raised to 10, which is why for many items, the Rare rarity simply stops becoming more common within player-reachable crafting levels - e.g. with a constant of 40, which is the most common constant for Rare items, a Level of 23 is sufficient to reach cap, and levels 24+ no longer improve your odds of the item being Rare. This is why the game's claim about how crafting level works is false; after a certain point, crafting level no longer improves your odds of an item being non-common, and your odds of crafting a rare begin to drop as your epic and legendary odds rise.

Level	Multiplier	XP	Total XP
1	1	0	0
2	1.05	500	500
3	1.1	2,500	3,000
4	1.15	5,000	8,000
5	1.2	10,000	18,000
6	1.25	25,000	43,000
7	1.3	50,000	93,000
8	1.35	100,000	193,000
9	1.4	250,000	443,000
10	1.45	500,000	943,000
11	1.5	1,000,000	1,943,000
12	1.55	2,000,000	3,943,000
13	1.6	4,000,000	7,943,000
14	1.65	8,000,000	15,943,000
15	1.7	15,000,000	30,943,000
16	1.75	20,000,000	50,943,000
17	1.85	35,000,000	85,943,000
18	2	60,000,000	145,943,000
19	2.25	100,000,000	245,943,000
20	2.5	150,000,000	395,943,000
21	3	200,000,000	595,943,000
22	3.5	250,000,000	845,943,000
23	4	300,000,000	1,145,943,000
24	4.5	325,000,000	1,470,943,000
25	5	350,000,000	1,820,943,000
26	6	400,000,000	2,220,943,000
27	7	500,000,000	2,720,943,000
28	8	600,000,000	3,320,943,000
29	9	750,000,000	4,070,943,000
30	10	1,000,000,000	5,070,943,000

XP Per Craft Formula[]

${\begin{aligned}\\&{\frac {({\textit {Quality}}+0.01)^{1.3}\times {\textit {OriginalPrice}}}{n}}\\n&={\begin{cases}10,&{\text{Artifacts}}\\25,&{\text{Stones}}\\100,&{\text{Materials}}\\\end{cases}}\\\end{aligned}}$

Formula provided by discord user @zippyh (735136733766877205). XP per craft is also visible on the artifact explorer.

Craft Count Exponent[]

Your level-modified constant, which, for all T4 craftable items and their rarities (i.e. disregarding uncraftables), is somewhere in the 33-1500 range before leveling (reaching 10-150 after leveling), is raised to the following exponent, based on all previous crafts of the item, regardless of rarity:

$0.3min\left(1,{\frac {PreviousCrafts}{400}}\right)-1$

For 0 crafts, this is -1 (i.e. you take the leveled constant and invert it, getting 1/constant), and for 400+ crafts, it is -0.7 (1/constant is then raised to the 7/10 power, i.e. the tenth root is taken and raised to the 7th power). 1/constant is always less than 1, so doing this increases your odds accordingly. Unfortunately, your odds can never be higher than 10%, even after exponentiation.

Other Craftable Rarities[]

The procedure covered so far - modifying the base rate by level and previous crafts - results in 3 numbers, one each for Rare, Epic, and Legendary. Due to the way the game calculates rarity, your actual odds of each rarity are modified by the other 2, ignoring uncraftables. Assuming an item has all 3 rarities, your real odds end up being:

Real Legendary: As calculated.
Real Epic: Calculated - Real Legendary.
Real Rare: Calculated - Real Epic - Real Legendary.
Common: 1 - Real Rare - Real Epic - Real Legendary.

This is largely important due to the other operations being clamped to never being better than 10%. For example, at level 30 with 400 previous crafts, a T4 metronome has a 10% Calculated Rare chance and a 10% Calculated Epic chance, meaning it will never be Rare - your real odds will be 90% Common, 6.02% Epic, 3.98% Legendary, after rounding.

External Links[]

The following links provide further detail and depth into crafting costs and artifact crafting.

↑ https://medium.com/@kevin_67107/how-artifact-rarity-is-determined-6e9c1c772a08

[1] ttps://medium.com/@kevin_67107/how-artifact-rarity-is-determined-6e9c1c772a08

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