Forgetting Curve Retention Calculator
Work out forgetting curve retention instantly with clear inputs, formula shown and shareable results.
About Forgetting Curve Retention Calculator
Ebbinghaus found forgetting follows an exponential decay, R = R0 e^(-t/S), where S is the memory's stability. With S = 2.5 days, retention falls to 6.1% after a week and the half-life is 1.73 days. Each successful review increases S, which is why spaced repetition schedules lengthen the intervals progressively.
Formulas
Forgetting curve
R = R0 x e^(-t / S)
Memory half-life
half-life = S x ln2
Worked example
With the default values below, Forgetting Curve Retention Calculator returns Retention Remaining of 6.08%. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Retention immediately after learningaccepts 1–100 %
- 100 %
- Memory stability constantminimum 0.01 days
- 2.5 days
- Days since learningminimum 0
- 7
Results
- Retention Remaining
- 6.08%
- Memory Half-Life
- 1.73 days
- Days Until Half Is Forgotten
- 1.73
- Review Advice
- Review now - retention has fallen below 60%
Step by step
- 1Values used
- 2Forgetting curve
- 3Memory half-life
- 4Retention Remaining= 6.08
- 5Memory Half-Life= 1.73 days
- 6Days Until Half Is Forgotten= 1.73
- 7Review Advice= Review now - retention has fallen below 60%
Assumptions and limits
- The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
Why does reviewing help so much?
Because retrieval practice increases stability S, flattening the curve. Each review buys a longer interval than the last.
When should I review?
Just before retention drops too far - typically around 85-90% recall probability, which is what spaced repetition algorithms target.
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