Credits
This guide was written by Erzzy - the author of the Uma Musume Reference Document that you can find here. Big thanks for the collab opportunity!
Stats Guide
The stats in Umamusume involve a lot of math. Before getting into that, let’s briefly look at what each stat does.
- increases your top speed during the last third of the race. It does nothing before that.Speed
- 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.Stamina
- 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.Power
- reduces your HP consumption during the last third of the race. This makes it function very similarly toGuts, but is usually weaker, especially in large quantities.Stamina
- 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.Wit
For most people, those overviews should be enough. But, if you want to dive deeper, let’s get into…
The Math
Speed

Your uma’s base speed is determined by this formula:
BaseSpeed = (20 - (CourseLength - 2000) / 1000) * PhaseModifier

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:
Speed | Opening Leg ■□□□□□ | Middle Leg □■■■□□ | Final Leg □□□□■■ |
---|---|---|---|
Front Runner | 1 | 0.98 | 0.962 |
Pace Chaser | 0.978 | 0.991 | 0.975 |
Late Surger | 0.938 | 0.998 | 0.994 |
End Closer | 0.931 | 1 | 1 |
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

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


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

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

Acceleration | Opening Leg ■□□□□□ | Middle Leg □■■■□□ | Final Leg □□□□■■ |
---|---|---|---|
Front Runner | 1 | 1 | 0.996 |
Pace Chaser | 0.985 | 1 | 0.996 |
Late Surger | 0.975 | 1 | 1 |
End Closer | 0.945 | 1 | 0.997 |
When running uphill, your uma’s speed is reduced according to this formula:
Speed Penalty = |100 * tan(angle in radians)| * 200 / Power
The more

Guts

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

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



Distance | Stamina wins after X Guts |
---|---|
1400m | 210 |
1800m | 260 |
2400m | 320 |
3000m | 380 |
3600m | 440 |
So, if you have less



Wit


Trigger Percent = 100 - 9000/Wit
Here’s a chart across some values of

Wit | Skill Proc |
---|---|
200 | 55% |
300 | 70% |
400 | 77.50% |
500 | 82% |
600 | 85% |
700 | 87% |
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.
Wit | Rushed |
---|---|
200 | 24.17% |
300 | 19% |
400 | 16.24% |
500 | 14.49% |
600 | 13.26% |
700 | 12.32% |
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

Max Mod = Wit / 5500 * log10(Wit * 0.1)%
Min Mod = Max Mod - 0.65.
And here’s the chart.
Wit | Max Mod | Min Mod |
---|---|---|
200 | 0.05% | -0.60% |
300 | 0.08% | -0.57% |
400 | 0.12% | -0.53% |
500 | 0.15% | -0.50% |
600 | 0.19% | -0.46% |
700 | 0.24% | -0.42% |
This is relatively linear.
The downhill boost is perfectly linear. The chance is 0.04% per

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.