Credits

Stats Guide

The stats in Umamusume involve a lot of math. Before getting into that, let’s briefly look at what each stat does.

  • Speed
    Speed
    increases your top speed during the last third of the race. It does nothing before that.
  • Stamina
    Stamina
    increases your uma’s HP. When she runs out of HP, her speed drops to the minimum value. Having more than you need for the race does nothing on its own, aside from protecting you against things like debuffs and Rushed.
  • Power
    Power
    increases your uma’s acceleration, as well as her speed while running uphill. It does nothing to help you get unblocked, despite what the game’s own tips say.
  • Guts
    Guts
    reduces your HP consumption during the last third of the race. This makes it function very similarly to
    Stamina
    Stamina
    , but is usually weaker, especially in large quantities.
  • Wit
    Wit
    does a variety of other things, sometimes acting as a luck stat. Most notably, it affects how often your skills trigger, but it also affects your speed throughout the race, your chance of getting boosts on downhills, and your chance of becoming rushed.

For most people, those overviews should be enough. But, if you want to dive deeper, let’s get into…

The Math

Speed
Speed

Your uma’s base speed is determined by this formula:

BaseSpeed = (20 - (CourseLength - 2000) / 1000) * PhaseModifier

Guide

The PhaseModifier varies based on the style at different points in the race. It covers things like Front Runners being stronger early on, and End Closers being stronger later. You can get the value from this table:

SpeedOpening Leg ■□□□□□Middle Leg □■■■□□Final Leg □□□□■■
Front Runner10.980.962
Pace Chaser0.9780.9910.975
Late Surger0.9380.9980.994
End Closer0.93111

Then, in the final leg, it becomes this:

FinalLegSpeed = BaseSpeed + sqrt(500 * Speed) * DistanceAptitude * 0.002

If your uma has enough HP, she will go into spurt mode, which uses this formula:

MaxSpurtSpeed = (FinalLegSpeed + 0.01 * BaseSpeed) * 1.05 + sqrt(500 * Speed) * DistanceAptitude * 0.002

DistanceAptitude will usually be 1, for an A rank, or 1.05, for an S rank. S is roughly equivalent to raising your

Speed
Speed
stat by 10%.


Stamina
Stamina
and HP

Your uma’s HP is determined by this formula.

Max HP = TrackDistance + (Stamina * 0.8) * StyleModifier

StyleModifier is based on your uma’s running style.

  • Front Runner: 0.95
  • Pace Chaser: 0.89
  • Late Surger: 1
  • End Closer: 0.995

This means Pace Chasers receive 11% less HP from their

Stamina
Stamina
than Late Surgers. Recovery skills restore a percentage of your max HP, so with the same
Stamina
Stamina
, Pace Chasers will also be restoring less HP from their recoveries.

HP is consumed according to the following formula:

HP Per Second = 20 * (CurrentSpeed - BaseSpeed + 12)^2 / 144

So, the faster your uma is running, the more HP she uses. Since she runs slower on uphills, this means that uphills take less HP compared to flat land, which is a bit unintuitive.


Power
Power

Your uma’s acceleration is determined through the following formula:

Acceleration = BaseAcceleration * sqrt(500 * Power) * PhaseModifier * SurfaceAptitude

BaseAcceleration = 0.0006 normally, 0.0004 on uphills. Like Speed, SurfaceAptitude is usually 1 for A rank, and 1.05 for S rank.

Also just like

Speed
Speed
, there’s a PhaseModifier for acceleration. It follows a similar pattern to the Speed one:

AccelerationOpening Leg ■□□□□□Middle Leg □■■■□□Final Leg □□□□■■
Front Runner110.996
Pace Chaser0.98510.996
Late Surger0.97511
End Closer0.94510.997

When running uphill, your uma’s speed is reduced according to this formula:

Speed Penalty = |100 * tan(angle in radians)| * 200 / Power

The more

Power
Power
you have, the faster you run when going uphill.


Guts
Guts

During the last third of the race, your HP consumption rate is changed according to your

Guts
Guts
:

HP Consumption Multiplier = 1 + (200 / sqrt(600 * Guts))

More

Guts
Guts
results in less HP being consumed. Since your max HP is increased by the track’s distance, each distance has a different threshold at which
Stamina
Stamina
becomes better than
Guts
Guts
in terms of letting you survive.

DistanceStamina wins after X Guts
1400m210
1800m260
2400m320
3000m380
3600m440

So, if you have less

Guts
Guts
than this number, one point of
Guts
Guts
gives you more effective HP than one point of
Stamina
Stamina
, and vice versa when above it. Basically, this is 80 + (Distance / 100).


Wit
Wit

Wit
Wit
does various things. First, it affects how often your skills activate, according to this formula:

Trigger Percent = 100 - 9000/Wit

Here’s a chart across some values of

Wit
Wit
. It increases quickly, then tapers off.

WitSkill Proc
20055%
30070%
40077.50%
50082%
60085%
70087%

It also affects your chance of becoming Rushed. Rushed makes your uma run forward and increases their HP consumption by 60%. The chance is:

Rushed Percent = (6.5 / log10(0.1*Wit+1))^2

Here’s another chart. Again, it starts sharply, then smooths out.

WitRushed
20024.17%
30019%
40016.24%
50014.49%
60013.26%
70012.32%

It also determines how fast your uma runs throughout the race. Every 1/24th of the track, the uma will roll between two numbers that are decided by her

Wit
Wit
, and use that to determine how fast to run.

Max Mod = Wit / 5500 * log10(Wit * 0.1)%

Min Mod = Max Mod - 0.65.

And here’s the chart.

WitMax ModMin Mod
2000.05%-0.60%
3000.08%-0.57%
4000.12%-0.53%
5000.15%-0.50%
6000.19%-0.46%
7000.24%-0.42%

This is relatively linear.

The downhill boost is perfectly linear. The chance is 0.04% per

Wit
Wit
you have. This is checked every second while running downhill, and if you’re in the boost state, you have a 20% chance each second to leave it.

Being in the boost state increases your speed based on how steep the slope is, with the following formula:

Speed Boost = 0.3 + |100 * tan(angle in radians)| / 10

On the shallowest hills, this is +0.4m/s. It also reduces your HP consumption by 60% while in it.