Flashcard backlog clearing calculator

Calculate end-of-day backlog sequence and first clearing day with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use end-of-day backlog sequence and first clearing day to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Opening due-card backlog
100
New review work arriving each day
10
Daily review capacity
30
Days to display
4
End-of-day backlog sequence
80, 60, 40, 20
First clearing day
Not within horizon
Reviews completed over displayed period
120
Unused review capacity
0

Try another scenario

Opening due-card backlog
20
New review work arriving each day
5
Daily review capacity
15
Days to display
4
End-of-day backlog sequence
10, 0, 0, 0
First clearing day
2
Reviews completed over displayed period
40
Unused review capacity
20
Calculation method

Calculation method

End-of-day backlog sequence

Each day: max(0, previous backlog + new daily work − daily capacity). Arrivals occur before reviews.

First clearing day

First displayed day ending at zero, or Not within horizon.

Reviews completed over displayed period

Sum min(capacity, backlog + arrivals) across the displayed days.

Unused review capacity

Days × daily capacity − reviews completed.

Symbols and units
a
Opening due-card backlog
b
New review work arriving each day
c
Daily review capacity
d
Days to display

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • A workload queue model. Daily arrivals are review actions, not distinct new cards with an inferred repetition schedule. Constant capacity and arrivals do not predict learning or actual retention.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

OpenStax: arithmetic and geometry ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Share this page
Share this calculator

Leave unchecked to share the page without your entered values.