Power Law of Practice

Time to perform a task drops as a power of repetitions.

Snoddy (1926) observed and Newell and Rosenbloom (1981) formalized: as people repeat a task, the time it takes follows a power-law curve. Sharp early gains, gentler later ones, and a long tail where additional practice still pays — just less.

T = a · P⁻ᵇ
time per task (T) falls as a power of the number of practice trials (P).
Origin

Allen Newell, a founding figure of artificial intelligence, and Paul Rosenbloom, his collaborator at Carnegie Mellon, showed in 1981 that improvement with practice follows a power law — fast gains at first, then ever-diminishing returns.

Newell was a founding father of artificial intelligence — co-creator of the Logic Theorist, the first AI program — and won the Turing Award in 1975. Rosenbloom went on to co-lead the Soar cognitive architecture. Later research suggests individual learning curves are closer to exponential; the power law emerges when averaging across learners.

The Law

Plot time-per-task against repetitions on a log-log axis and you get a straight line. The biggest gains come early — minute one to minute ten changes everything. Beyond that, each doubling of practice produces a smaller relative gain, but never zero.

Coined by
Source
Mechanisms of Skill Acquisition
In practice
Design for repeat use
The curve

The Learning Curve Is a Power Law

Time-per-task and reps form a sharp decay. The first ten tries shave off most of the cost. Reps a hundred through a thousand still bring the time down — but slowly, on a curve that flattens toward an asymptote rather than zero.

Shape
Steep then flat
Never
Hits zero
Returns

Diminishing, But Not Zero

Most onboarding decisions hinge on this. The first hour of practice is worth more than the next ten. The next ten are worth more than the next hundred. But the curve keeps going — experts in any complex tool keep getting faster years in, just at a rate beginners would not notice.

Pattern
Logarithmic returns
Expert gain
Real but invisible
Onboarding

The First Minutes Carry the Curve

Because most of the learning happens early, onboarding decisions have outsized leverage. A first-run experience that drops setup from 8 minutes to 2 moves the entire curve to the right — fewer drop-offs, faster time-to-value, more users who stay long enough to get to the flat part of the curve.

Lever
Defaults · pre-fill · skip
Effect
Whole curve shifts right
Plateaus

The Plateau Is Real

Practice curves are rarely smooth. Users hit plateaus — stretches where time stops dropping despite reps. Often the way out is a new technique (a shortcut, a different mental model), not more practice on the same one. Design for the plateau: surface the next move, do not just count reps.

Pattern
Step function, not smooth
Out of it
New technique · shortcut
Shortcuts

Make the Power-User Path Real

The slope of the curve depends on the technique available. A user who only ever clicks the menu stays on a gentler curve than one who learns the keyboard shortcuts. Surface the faster path early and often — power-users save not from talent but from a steeper learning curve.

Surface
Shortcuts · command palette
Effect
Power user curve · enabled
Deliberate practice

Not All Reps Are Equal

Ericsson’s research: deliberate practice — focused, with feedback, at the edge of ability — produces a steeper curve than mindless reps. Speed of typing, speed of code, speed of design review all improve faster when feedback is immediate and the next-hardest target is in view.

Source
Ericsson, 1993
Requires
Feedback · edge of ability
Myth

The 10,000 Hours Misread

Gladwell turned Ericsson’s research into “10,000 hours” — but the original work was about specific kinds of deliberate practice in specific domains. Ten thousand mindless hours produce a flat experienced user, not a top performer. The curve still applies; the multiplier depends on practice quality.

Misread
Hours, not quality
Reality
Quality matters more
Daily

Design for the Whole Curve

Your product is used by users at every point on the curve. The first-day user needs visible defaults and a successful first task. The week-100 user needs shortcuts, bulk actions, and customization. Each cohort sits on a different part of the curve — and they all see the same UI.

Design for
Every cohort
Watch for
Only the new user

The Power Law in the Age of AI

Models can drop the early part of the curve to almost flat — and that changes who counts as an expert.

✦ AI Era

AI Flattens the Beginner Curve

A first-day user with an assistant can produce expert-level output. The steep early part of the practice curve — the part where most users used to drop off — becomes almost vertical. The expert and the novice are now closer than they have ever been, at least on the output. Whether they are closer on judgment is a different question.

Effect
Beginner ≈ expert · on output
Question
On judgment?
✦ AI Era

Practice Still Matters · for Judgment

The model handles the mechanics; the human still has to know what good looks like. The curve for judgment — knowing which output is right, which is plausible nonsense, which is subtly off — has not been flattened by anything. Reps still build it, and beginners still need them.

Output
AI handles fast
Judgment
Still costs reps
Further Reading