Stat curves

Pet stats do not all scale the same way. Each one follows one of three simple shapes, so you can tell what an extra point of a stat is worth. Drag the sliders below to see the real numbers.

Shape	Stats	What to expect
Levels off	Defense, Knockback Resist, Critical Chance, Jump and Dash Recovery	You get a share of an effect, and each extra point is worth a little less than the last. The share climbs toward a limit and never quite reaches it. The stat that gives half of the limit is the number to remember.
Slows down	Attack Speed, Agility, Attack Range, Pickup Range, Critical Damage	Every point counts in full up to a turning point. After that each point still helps, just less than before. It never stops growing.
Straight line	Strength, Luck	Twice the stat, twice the effect.

How a stat that levels off works

These stats turn the part of the stat above a starting point into a share of a limit:

$$x = \max(\text{stat} - F,\ 0) \qquad \text{share} = \text{limit} \times \frac{x}{x + (H - F)}$$

$F$ is the stat that gives nothing, and $H$ is the stat that gives exactly half of the limit. Early points are worth the most. Each point after that is worth a little less, which is why the share never quite reaches its limit.

How a stat that slows down works

These stats count in full up to a turning point $T$. Past it, each extra point counts for less. A larger $G$ means a gentler slowdown:

$$\text{counts as} = \begin{cases} s & s \le T \\ T + G \,\ln\!\left(1 + \dfrac{s - T}{G}\right) & s > T \end{cases}$$

Every stat that slows down shares the same turning point, $T = 200$. Each stat has its own $G$, shown with it below.

Agility

Agility sets how fast your pet moves, how fast it swings mining tools, and how quickly loot closes on it. Movement speed follows the number your Agility counts as, compared with the starting value, so a pet at the starting Agility moves at the normal speed. While your pet is on the ship, deck movement is held to a readable top speed.

For this stat, $G = 100$.

Attack Range

Attack Range is how far your attacks and tools reach. Every point counts in full up to the turning point, then each point counts for less.

For this stat, $G = 50$. Pickup Range uses the same $G$.

Attack Speed

Attack Speed makes your weapons fire or swing faster. Every point counts in full up to the turning point, then each point counts for less. Your weapon’s speed follows the number it counts as, so a pet that counts as twice the starting Attack Speed fires twice as fast.

For this stat, $G = 100$.

Critical Chance

Critical Chance is the odds that a hit lands as a critical hit. It climbs toward a highest possible chance and never quite reaches it. It counts from zero, so every point helps.

$$\text{chance} = c_{\max} \times \frac{\text{Critical Chance}}{\text{Critical Chance} + H}$$

$c_{\max} = 0.5$ is the highest chance a pet can reach (as a fraction of 1), and $H = 900$ is the Critical Chance that gives exactly half of it.

Critical Damage

Critical Damage sets how much extra damage a critical hit deals. Critical Damage slows down past the turning point, and the result divided by 100 is the damage multiplier. A critical hit never deals less than a normal hit.

$$\text{multiplier} = \max\!\left(1,\ \frac{\text{counts as}}{100}\right)$$

For this stat, $G = 100$.

Defense

Defense blocks a share of the damage enemies deal to your pet. Defense above the starting value blocks more, but every extra point blocks a little less than the one before, and no amount blocks everything. Defense also adds energy to your plasma shield.

$$x = \max(\text{Defense} - F,\ 0) \qquad \text{blocked} = \frac{x}{x + (H - F)}$$

$F = 100$ is the Defense that blocks nothing, and $H = 1000$ is the Defense that blocks exactly half. Defense at or below $F$ never makes you take extra damage.

Jump and Dash Recovery

Recovery shortens the wait between jumps (and dashes) on exploration runs. A pet at the starting Recovery waits the full base time. Recovery above that removes a share of the wait, each point a little less than the last, and the wait never drops to zero.

$$x = \max(\text{Recovery} - F,\ 0) \qquad \text{reduction} = r_{\max} \times \frac{x}{x + D} \qquad \text{cooldown} = \text{base} \times (1 - \text{reduction})$$

$F = 100$ is the starting Recovery, $r_{\max} = 0.8$ is the largest share of the wait that can be removed, and $D = 300$ is how far above $F$ you need to be to remove half of that. The base waits are 5 s for a jump and 5 s for a dash.

Training multiplies your pet’s Recovery by a percentage, so food bonuses and training both count toward the same curve.

Jump

Dash

Knockback Resist

Knockback Resist blocks a share of how far enemy hits shove your pet. It works like Defense, with its own numbers, and no amount makes your pet immune.

$$x = \max(\text{Resist} - F,\ 0) \qquad \text{blocked} = \frac{x}{x + (H - F)}$$

$F = 100$ is the Knockback Resist that blocks nothing, and $H = 1000$ blocks exactly half.

Pickup Range

Pickup Range is how far your pet collects loot from. It slows down the same way Attack Range does.

It uses the same $G$ as Attack Range, $G = 50$.