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Here’s a comprehensive guide to pets and leveling.

1. Intro
2. Basics
3. Stats
4. Proof
5. Comparison

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1. Introduction
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blah blah. Maybe I’ll add one later 

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2. Basics
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(First, sorry I forgot to take SS while I was running my experiments. You will just have to trust me on the information I will be providing)

When you summon an egg (i.e. place an egg from your bag into your pet menu), the 5 stats given to the pet is randomly generated within the bounds of the growth ratio.

The big question right now is: what is better? Level up a lower level pet… or get a high level pet? Hopefully my guide can clear up some of these questions. My answer: it is dependent on your pet’s aptitude and how much you are willing to raise that.

I am just going to quickly cover the different ways you can level a pet.

A. Merging

The best and fastest way to level your pet is to merge it with another pet of its own level. Check out my guide on merging to get more information on this.

B. Food

Miller’s Special Cake (+10 XP) and Powerful Pet Growth Potion (+1000 XP) are the two other methods of leveling up your pet. These options are however much more time consuming and/or expensive. Miller’s Special Cake costs 3,500 gold while the Powerful Pet Growth Potion costs 45 Badge of Trials (won from Guild Sieges).

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3. Stats
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Leveling your pet affects the base Value of your pet’s stats. This means that leveling your pet is actually one of the best ways to affect the assist values which is what you in turn receive from your pet. Pet value growth is based on the following formula:

New Value = Current Value + (Growth Rate / 2) * (Current Aptitude / 100)

As you can tell, if you are planning on leveling your pet, it is best to have as high of an aptitude as possible.

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4. Proof
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Once again, I apologize for not providing screens. I wrote down the info without taking screenshots. I hope you can just trust that the information I am providing is accurate.

Level 2 Cow Beetle
Growth: 5 / 6 / 4 / 0 / 0
Base Values: 7 / 8 / 5 / 2 / 3
Aptitude: 71

I used 2 Level 2 eggs to raise my Cow Beetle’s level to 3 and got the following results:

Level 3 Cow Beetle
Growth: 5 / 6 / 4 / 0 / 0
Base Values: 8.77 / 10.13 / 6.42 / 2 / 3
Aptitude: 71

Then I used 1 Level 3 egg to raise my Cow Beetle’s level to 4 and got the following results:

Level 4 Cow Beetle
Growth: 5 / 6 / 4 / 0 / 0
Base Values: 10.55 / 12.26 / 7.84 / 2 / 3
Aptitude: 71

As you can see, each time the increase in the base values are equal giving rise to the notion that level increase is based on a set value. That set value is dependent only on the aptitude and growth rate of the pet. From level 2 to 3, it had a growth of 1.77 / 2.13 / 1.42 / 0 / 0. From 3 to 4, it had a growth rate of 1.78 / 2.13 / 1.42 / 0 / 0.

Now if we calculate the pet’s growth rate from the given aptitude, we come up with the following: 1.775 / 2.13 / 1.42 / 0 / 0. The 1.775 explains the difference between the 2->3 and 3->4 growth rate difference. This also tells us that the numbers are rounded down, but still retain information beyond what is just shown.

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5. Comparison
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I wanted to compare 2 Holy Pet Egg pets that are at 2 different levels to show the possibilities of growth. These were both the initial stats as soon as I spawned the eggs.

Level 2 Cow Beetle
Growth: 5 / 6 / 4 / 0 / 0
Base Values: 7 / 8 / 5 / 2 / 3
Aptitude: 71

Level 29 Crab
Growth: 5 / 6 / 4 / 0 0
Base Values: 51 / 64 / 44 / 1 / 8
Aptitude: 71

If I do not raise the aptitude of the level 2 cow beetle, and simply level it to 29… the cow beetle would end up with the following base values:

Level 29 Cow Beetle
Growth: 5 / 6 / 4 / 0 / 0
Base Values: 54.93 / 65.51 / 43.34 / 2 / 3
Aptitude: 71

From a very quick inspection, the values are relatively close. We can chalk it up to the random generators that we got 2 pets that are now relatively the same build. However, let’s say you took care of your pet a bit more, and leveled it while it had 80 aptitude or possibly even 90 aptitude. What does that do for your pet? Here’s the results:

Level 29 Cow Beetle
Growth: 5 / 6 / 4 / 0 / 0
Base Values: 61 / 72.8 / 48.2 / 2 / 3
Aptitude: 80

Level 29 Cow Beetle
Growth: 5 / 6 / 4 / 0 / 0
Base Values: 67.75 / 80.9 / 53.6 / 2 / 3
Aptitude: 90

You can see that there is drastic improvement on the pet that is leveled with 90 aptitude. Almost a 25% better base value set. Understand these numbers are generated with ideal conditions (which is near impossible to do). And you must understand that leveling a pet from a low level (<5) to a moderate level (>20) will take… a very long time.

However, if you are willing to put in the work, you can definitely raise up a pet with very nice stats as long as you first raise its aptitude to a high enough level.

Credits go to failkaito.