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WIKI - Idle Pixel

Breeding Advanced: Difference between revisions

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Revision as of 02:48, 21 November 2024

Hey everyone, Salinte here. I've made this wiki page to contain my in progress work on the breeding Skill. This Wiki Page is under development. Once all data has been finalized then I will probably either delete this page or update it to indicate that it is no longer a work in progress. I will include a summary as well if needed.

This page contains summary tables of the Food Ranges, Loot Ranges, Base Hourly Xp numbers, and # of Reproductions required for each Tier of animal. Some of these numbers are educated guesses based off of real data recorded by users.


I've included the raw Tier Data along with the Username of who contributed to that data point. I wanted to include that to give those individuals credit as this was very much a community drive initiative.


Thank you very much to the following (alphabetized):

Agrodon, Anwinity, Dralina, Kevins123, MadMod, Mippo, Nodorga, Noobmoney, Plemma, RNG, Ryddeman, Salinte, Shan007. Undefinedt2, Zeragon


If I missed anyone my apologies. Please message me on discord or in game and I shall add you.

How Breeding Works

Breeding seems to be a very misunderstood skill. This is my attempt to explain it in basic language and with a few examples. Please Note that Traits and Food Cost are not determined until an animal is Activated.

How do Traits get selected?

For animals that can get traits: each possible trait is equally weighted on a roll. So for example if an animal has 11 possible traits then 1 to 11 is rolled. The number that is rolled is the trait that is selected.

How does Food cost get selected?

This is similar to how traits are selected. Each food cost in food range (see table later in this page) is equally weighted for the animals roll. If the animal has the trait Hungry then the food outcome is multiplied by 3. If the animal has the trait fasting then the food outcome is divided by 3. There can be some rounding with the fasting trait. This does mean that some animals have fasting outcomes that cost 0 food.

How do Animals breed?

There are two types of rolls that are used for breeding. The first is what I call the Reproductive Event Roll. It has a 1 in 601 chance per tick. So roughly every 10 minutes there is a potential reproduction event.


I say potential because even if that first roll is successful there is a second type of roll. I call this second type of roll the Animal Reproduction Roll.

That second type of roll is every breeding capable animal type is rolled for its respective breeding chance. Breeding capable animals are those you have active with at least 1 male and 1 female except for Toy Soldiers as they do not breed. Every Animal Type being rolled separately is how you can have some reproduction events where multiple animals reproduce.

How fast do Animals actually Breed on average?

Actual average Breeding Rate for each animal can be calculated with the following formula:


Actual average Breeding Rate = 10 mins1 + 10mins1* Floor2 ( Floor2 (Base Breeding Rate3 * Infertile/Fertile Factor4) / 6005 / Couples6))


Now lets breakdown that equation step by step. Each subscript number (small numbers at the end of each term) is identified and explained.


1: The 10 minutes in this first term is due to each reproduction event taking 10 minutes on average. This is what I call the Reproduction Event Roll


2: Floor function lowers a number to the nearest whole number. So 3.21 becomes 3. This occurs because integers are used in the code instead of a float. Basically that means only whole numbers are possible in the code.


3:Base Breeding Rate is shown in game. For example chicken's base chance is 3 hours.


4: Fertile/Infertile factor is as follows. Each Fertile decreases breeding time by 10% with each additional fertile decreasing time by 10% more. Each Infertile increases time by 10% with each additional infertile increasing time by 10% more.


Examples:

Having 3 fertile animals of that type means Fertile/Infertile Factor is: 0.9 ^ 3 = 0.729.

Having 3 fertile animals of that type and 2 infertile would mean Fertile/Infertile Factor is: (0.9^3) * (1.1^2) = 0.88209


5: 600 is used here as that is equal to 10 minutes.


6:Couples is the number of couples for that animal. This is the number of pairs of male and female. So if you had 3 male and 4 female chickens you would only have 3 couples. If you had instead 4 male and 4 female chickens then couples would be 4.


Here is an example of the full calculation of the Breeding Rate for 8 chickens of 4 male and 4 female with 3 of the chickens being fertile:

Base Chance: 3 hours -> 10,800

Couples: 4

Fertile/Infertile Impact: 0.9^3 = 0.729


10800 * 0.729 = 7873.2 which is floored to 7873

7873 / 600 / 4 = 3.28041666... which is floored to 3

In the game's code a successful reproduction is rolled from 0 to 3. So 25% chance of a reproduction.

This means that chickens have a 1 in 4 chance of successfully breeding whenever there is a Reproduction event. Given that Reproduction events on average take 10 minutes it thus takes 40 minutes on average to get a chicken reproduction event in this example.

What is the success chance of reproduction for an animal

The game code rolls 0 to Floor ( Floor (Base Breeding Rate * Infertile/Fertile Factor) / 600 / Couples)

the terms in equation above are explained in the above section.

Where a successful reproduction is a result of 0.

Effectively this means that an animal's success chance per reproduction event is:

1 in 1 + Floor ( Floor (Base Breeding Rate * Infertile/Fertile Factor) / 600 / Couples).

For the example used in the "How fast do Animals actually Breed on average" section. This means 1 in 1+3 -> 1 in 4

Does Fertile Always Help reproduction

I do not believe so. Anwin to confirm.


The minimum Reproduction time on average is 10 minutes as that is the average time between Reproduction events.


For 10 Ants of 5 male and 5 female and 2 fertile this means that average reproduction time is:


3600 * 0.9^2 = 2916


2916 / 600 / 5 = 0.972 which is floored to 0.


So 5 breeding Pair ants with 2 Fertile always reproduce. Any further fertile ants would not help.

Same for 4 Breeding Pairs of Ants with 4 fertile ants. So for 8 ants any fertile beyond 4 would not help.

Animal Information

This is a summary table of all animals and relevant information for them.

? means that the number is not confirmed yet. N/A means not applicable. This is used when a animal cannot get this trait. Unproductive will result in the lowest value of the loot range.

Base Xp is very much an estimate. It fluctuates quite a lot between animals.

Breeding Animal Information
Animals Fasting Range Normal Food Range Hungry Range Loot Loot Range Productive # Base Xp / Hr
Chicken 2 to 4 6 to 12 18 to 36 Feathers 1 to 3 12 4
Spider 3 to 8 10 to 25 30 to 75 String 20 to 25 75 6
Sheep 3 to 5 10 to 15 30 to 45 Wool 20 to 25 75 4
Horse 3 to 9 10 to 25 30 to 75 Horseshoes 1 to 2 8 8
Ant 3 to 10 10 to 30 30 to 90 To be added See Note1 See Note1 6
Camel N/A N/A N/A Mushed Food 1 / 5 / 15 N/A 9
Beaver 25 to 30 75 to 90 225 to 270 Wood Chips 54? to 100 400 10
Dove N/A 2 to 4 N/A Dove Feathers 1 to 3 N/A 15
Pig 2 to 4 7 to 12 21 to 36 Grease 1 4 16
Haron 0 to 1 2 to 4 6 to 12 Bait / Super Bait / Mega Bait See Note2 See Note2 20
Toy Soldier N/A 5 to 10 N/A Gears 100 to 500 N/A 45
Haunted Sheep3 0 to 1 2 to 4 6 to 12 Mummy Wool N/A N/A 4

Notes:

1: Ants have three different types of loot. T3 Productive = 32 Ant Spines,

2: Tier 1 Harons give between 1-3 Bait. Productive = 12. Tier 2 Harons give 1-6 Bait or 1 Superbait with Productive being 24 bait or 4 superbait. Tier 3 Harons are 1 Super Bait or 1 Mega Bait with productive being 4 or 4. For Tier 2/3 Harons it seems to be a 10% chance of getting the better bait type.

2: Haunted Sheep no longer produce loot and were only gettable during the 2024 Halloween event.

Animal Tier Info Summarized

Below s a table of the Magic Numbers for each Animals' tier and the number of reproductions required. What this means is that (for example) after 250 Chicken Reproductions you always will get a T2 or T3 chicken. I've included the data used to determine these numbers in the sections below. These numbers are also very much an estimate. Nice round numbers were assumed / chosen based off of smitty's historical preference to use them. TBD means that the number has yet to be determined. N/A means the tiers do not yet exist in the game (Pig or Toy Soldier for example) while other times its because there is not enough data yet.

# of Reproductions required for Animal Tiers
Animal T2+ T3 Always Notes
Chicken 250 2000
Spider 2000 TBD
Sheep 500 TBD Very likely 500 imo. T2 is 100% between 336-554
Horse 300 TBD T2 is 296+. Small Chance T2+ is 325.
Ant 2000 10000
Camel 100 TBD
Beaver 300 800 T2 is 300 or 325. Between 292-340 and T3 is 775 or 800. Between 771-818.
Dove TBD TBD
Pig N/A N/A
Haron 120 TBD Maybe 125. Small Sample size limits accuracy
Toy Soldier N/A N/A

Haunted Sheep were not included in this analysis. They have a very low reproduced # required for T3 (I think its around 40).

There is some rounding used in these numbers. This is because I have assumed that Smitty picked round numbers for the tier thresholds.

Raw Animal Tier Data

In the following sub-sections is all of the raw Data along with the Username of who contributed to this data. Any animals not included in this raw data are because their higher Tiers have yet to be released or they are the Haunted Sheep. Only some Graphs were added to show the linear fitting I am doing.

Chicken Tier Data

Chicken Breeding Stats. T2+ everytime 250+. T3 guaranteed 2000
T3s Rolls Rate # Reproduced User
2 51 3.92% 302 Salinte
5 70 7.14% 504 Salinte
4 48 8.33% 756 Salinte
7 63 11.11% 833 Salinte
43 166 25.90% 1044 Salinte
46 88 52.27% 1252 Salinte
5 100 5.00% 490 Dralina
9 104 8.65% 517 Dralina
8 100 8.00% 656 Plemma
154 307 50.16% 1424 Salinte
28 38 73.68% 1552 Salinte
137 208 65.87% 1659 Salinte
64 75 85.33% 1770 Salinte
87 100 87% 1917 Salinte
91 94 96.81% 1996 Salinte
100 100 100.00% 2005 Salinte








Spider Tier Data

Spider Breeding Stats T2+ guaranteed 2000
T3s T2s Total T2+ Rate T3 Rate # Reproduced User
1 52 104 51% 0.96% 1517 Salinte
1 7 80 10% 1.25% 721 Zeragon
2 71 106 69% 1.89% 1671 Salinte
0 67 76 88% 0.00% 1808 Anwinity
0 196 205 96% 0.00% 1953 Salinte
0 50 100 50% 0.00% 1555 RNG
0 59 59 100% 0.00% 2111 Salinte
0 20 20 100% 0.00% 3625 Ryddeman
2 36 38 100% 5.26% 2395 Salinte
2 119 121 100% 1.65% 3411 Salinte
3 107 110 100% 2.73% 4562 Salinte

Sheep Tier Data

Sheep Breeding Stats  T2+ every time between 336<#<555.
T3s T2s Total T2+ Rate T3 Rate # Reproduced User
2 71 73 100% 2.74% 564 Salinte
0 10 82 12% 0.00% 142 Dralina
0 150 0.00% 278 Plemma T2 Data not recorded. Under 50%
1 26 133 20% 0.75% 226 Anwinity
0 6 19 32% 0.00% 285 Plemma
5 49 54 100% 9.26% 726 Salinte
3 150 153 100% 1.96% 555 Ryddeman
6 86 92 100% 6.52% 912 Salinte
12 83 95 100% 12.63% 1087 Salinte
0 10 30 33% 0.00% 263 MadMod
8 26 34 100% 23.53% 1283 Salinte
0 16 44 36% 0.00% 335 MadMod

Horse Tier Data

Horse Breeding Stats
T3s T2s Total T2 Rate T3 Rate # Reproduced User
0 0 29 0.00% 0.00% 70 Salinte
1 1 9 22.22% 11.11% 55 Plemma
0 2 44 4.55% 0.00% 56 Anwinity
0 1 10 10.00% 0.00% 80 Salinte
2 2 22 18.18% 9.09% 109 RNG 3 @110  got 1 T3
0 1 8 12.50% 0.00% 87 Salinte
0 0 20 0.00% 0.00% 47 Dralina
0 2 19 10.53% 0.00% 124 RNG
0 1 5 20.00% 0.00% 62 Noobmoney
0 3 8 37.50% 0.00% 134 RNG
0 1 9 11.11% 0.00% 64 Plemma
0 8 23 34.78% 0.00% 155 RNG
0 1 7 14.29% 0.00% 131 Ryddeman
0 1 8 12.50% 0.00% 140 Ryddeman
1 1 9 22.22% 11.11% 98 Salinte
0 2 17 11.76% 0.00% 97 Dralina
0 2 8 25.00% 0.00% 106 Salinte
0 1 10 10.00% 0.00% 115 Salinte
0 4 11 36.36% 0.00% 149 Ryddeman
0 1 6 16.67% 0.00% 158 Ryddeman
0 1 9 11.11% 0.00% 167 Ryddeman
0 1 2 50.00% 0.00% 176 Ryddeman
0 2 9 22.22% 0.00% 73 Plemma
0 1 30 3.33% 0.00% 76 Nodorga
0 7 22 31.82% 0.00% 151 Salinte
1 24 50 50.00% 2.00% 214 RNG
0 8 27 29.63% 0.00% 169 Salinte
0 16 31 51.61% 0.00% 199 Salinte
0 2 30 6.67% 0.00% 65 MadMod
0 5 12 41.67% 0.00% 219 Salinte
0 15 24 62.50% 0.00% 239 Salinte
0 7 10 70.00% 0.00% 225 Plemma
0 8 12 66.67% 0.00% 252 Plemma
0 14 18 77.78% 0.00% 270 Plemma
0 3 5 60.00% 0.00% 285 Salinte
0 7 8 87.50% 0.00% 288 Plemma
0 30 31 96.77% 0.00% 295 Salinte
0 1 12 8.33% 0.00% 72 Noobmoney
0 3 31 9.68% 0.00% 105 MadMod
0 38 111 34.23% 0.00% 165 Shan
0 34 34 100.00% 0.00% 308 Mippo
1 22 23 100.00% 4.35% 315 Salinte
0 9 9 100.00% 0.00% 322 Dralina
1 25 26 100.00% 3.85% 342 Plemma
1 23 24 100.00% 4.17% 342 Ryddeman
0 42 42 100.00% 0.00% 345 Salinte
0 53 53 100.00% 0.00% 395 Salinte
0 65 65 100.00% 0.00% 399 undefinedt2
0 32 32 100.00% 0.00% 407 Plemma
0 19 19 100.00% 0.00% 418 Salinte
0 42 42 100.00% 0.00% 425 Plemma
0 35 35 100.00% 0.00% 444 undefinedt2
2 18 20 100.00% 10.00% 445 Plemma
1 31 32 100.00% 3.13% 452 Salinte
0 23 23 100.00% 0.00% 472 Plemma
1 36 37 100.00% 2.70% 490 Plemma
3 39 42 100.00% 7.14% 519 Plemma
1 88 89 100.00% 1.12% 561 undefinedt2
0 23 23 100.00% 0.00% 561 Plemma
2 33 35 100.00% 5.71% 581 Plemma
4 58 62 100.00% 6.45% 621 Plemma
3 50 53 100.00% 5.66% 691 Plemma
7 35 42 100.00% 16.67% 721 Plemma
1 26 27 100.00% 3.70% 751 Plemma
2 46 48 100.00% 4.17% 797 Plemma

Due to small sample sizes making a lot of noise I made data buckets to better fit the data.

Horse Breeding Stats Bucketed
T3s T2s Total T2+ Rate T3 Rate # Reproduced Mid value
0 0 20 0.00% 0.00% 41-50 45
1 3 53 7.55% 1.89% 51-60 55
0 4 73 5.48% 0.00% 61-70 65
0 4 51 7.84% 0.00% 71-80 75
0 2 18 11.11% 0.00% 81-90 85
1 3 26 15.38% 3.85% 91-100 95
2 5 46 15.22% 4.35% 101-110 105
0 3 29 10.34% 0.00% 111-125 118
0 5 23 21.74% 0.00% 126-140 133
0 19 56 33.93% 0.00% 141-155 155
0 11 43 25.58% 0.00% 156-180 163
0 16 31 51.61% 0.00% 181-199 190
1 29 62 48.39% 1.61% 200-220 210
0 22 34 64.71% 0.00% 221-240 230
0 14 18 77.78% 0.00% 261-280 270
0 40 44 90.91% 0.00% 281-300 288
3 273 276 100.00% 1.09% 301-400 350
4 236 240 100.00% 1.67% 401-500 450
6 183 189 100.00% 3.17% 501-600 550
7 108 115 100.00% 6.09% 601-700 650
10 107 117 100.00% 8.55% 701-799 750

And look at the graph below to see how nice that data fits now. T2+ seems to be between 296 and 342. So either 325 or 300.

















Ant Tier Data

Ant Breeding Stats  
T3s T2s Total T2+ Rate T3 Rate # Reproduced User
18 82 100 100.00% 18.00% 3004 RNG
0 10 138 7.25% 0.00% 408 Anwinity
0 4 10 40.00% 0.00% 1009 Ryddeman
0 11 44 25.00% 0.00% 1018 Ryddeman
0 52 213 24.41% 0.00% 1001 Anwinity
21 79 100 100.00% 21.00% 4408 RNG
39 61 100 100.00% 39.00% 6011 RNG
0 4 142 2.82% 0.00% 196 MadMod
82 18 100 100.00% 82.00% 9089 RNG
100 0 100 100.00% 100.00% 10150 RNG
2 42 72 61.11% 2.78% 1608 Salinte
1 105 109 97.25% 0.92% 1912 Salinte
2 70 72 100.00% 2.78% 2002 Salinte

Camel Tier Data

Camel Breeding Stats
T3s T2s Total T2+ Rate T3 Rate # Reproduced User
1 18 28 68% 3.57% 72 Salinte
1 1 13 15% 7.69% 33 Plemma
0 1 16 6% 0.00% 22 Paliga
0 15 27 56% 0.00% 79 Salinte
1 13 20 70% 5.00% 88 Salinte
0 17 17 100% 0% 98 Salinte
0 10 10 100% 0% 108 Salinte
0 20 20 100% 0.00% 128 Salinte
0 10 10 100% 0.00% 138 Salinte
0 3 21 14% 0.00% 50 MadMod
1 8 9 100% 11.11% 101 Plemma
0 19 19 100% 0.00% 158 Salinte
0 9 9 100% 0.00% 110 Plemma
0 36 36 100% 0.00% 101 Agrodon
0 9 9 100% 0.00% 168 Salinte
1 9 10 100% 10.00% 178 Salinte
1 21 22 100% 4.55% 198 Salinte
1 23 24 100% 4.17% 222 Salinte
2 9 11 100% 18.18% 167 Plemma

Beaver Tier Data

Beaver Breeding Stats  
T3s T2s Total T2+ Rate T3 Rate # Reproduced User
4 15 24 79.17% 16.67% 260 Plemma
5 4 9 100.00% 55.56% 651 Ryddeman
0 12 37 32.43% 0.00% 154 Salinte
4 8 21 57.14% 19.05% 221 Salinte
1 3 7 57.14% 14.29% 251 Salinte
9 41 51 98.04% 17.65% 291 Salinte
3 26 29 100.00% 10.34% 341 Salinte
25 29 54 100.00% 46.30% 559 RNG
2 35 44 84.09% 4.55% 232 MadMod
103 0 103 100.00% 100.00% 818 Plemma
93 7 100 100.00% 93.00% 770 RNG
23 16 39 100.00% 58.97% 616 Salinte
22 3 25 100.00% 88.00% 737 Undefinedt2

Dove Tier Data

Dove Breeding Stats
T3s T2s Total T2+ Rate T3 Rate # Reproduced User
0 0 2 0% 0.00% 9 Salinte
4 2 19 32% 21.05% 42 Kevins123
0 0 14 0% 0.00% 14 RNG
0 1 20 5% 0.00% 30 Plemma
0 2 11 18% 0.00% 58 Plemma

Haron Tier Data

Haron Breeding Stats
T3s T2s Total T2+ Rate T3 Rate # Reproduced User
0 1 7 14.29% 0.00% 32 Salinte
0 15 19 78.95% 0.00% 81 Plemma
0 3 7 42.86% 0.00% 95 Plemma
0 7 8 87.50% 0.00% 102 Plemma
0 4 12 33.33% 0.00% 62 Salinte
0 6 29 20.69% 0.00% 70 Salinte
1 9 16 62.50% 6.25% 80 Salinte
0 11 12 91.67% 0.00% 100 Salinte
0 3 21 14.29% 0.00% 28 Madmod
0 5 6 83.33% 0.00% 110 Salinte
0 20 20 100.00% 0.00% 120 Salinte
1 18 19 100.00% 5.26% 134 RNG
0 8 8 100.00% 0.00% 137 Plemma
0 21 21 100.00% 0.00% 236 Plemma
1 9 10 100.00% 10.00% 130 Salinte
0 34 34 100.00% 0.00% 170 Salinte
1 9 10 100.00% 10.00% 295 Plemma
2 76 78 100.00% 2.56% 209 undefinedt2
2 39 41 100.00% 4.88% 223 Salinte