ratio.

Find a tool

Browse all tools and categories ↗
COUNT MIN SKETCH SIZE

Count Min Sketch Size Calculator

Calculate width, depth and counter memory for standard additive count-min frequency error bounds.

Enter your values

01 / INPUT
Calculated on your device

YOUR CALCULATION

Result

—

Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Apply the standard pairwise-independent row-hash sizing bound for a nonnegative insertion-only stream.

    Width=ceil(e/ε); depth=ceil(ln(1/δ)); point overestimate bound=ε×total updates

    Worked example

    ε=0.01 and δ=0.01 give 272 columns and five rows. Four-byte counters occupy 5440 bytes, with additive point-query bound 10000 for one million updates.

    Assumptions and input details

    Ideal independent row hashes and nonnegative unit increments; point queries never underestimate absent overflow. The error bound is probabilistic for a fixed queried item, not a simultaneous guarantee for every key. Counter overflow and language-object overhead are not modeled.

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

    RELATED TOOL · BLOOM FILTER SIZEBloom Filter Size Calculator

    Size a standard Bloom filter for an entered insertion count and target approximate false-positive probability.

    RELATED TOOL · INFORMATION THEORYSymbol Count Shannon Entropy Calculator

    Calculate empirical entropy, observed support and ideal coding bounds from labelled symbol counts.

    RELATED TOOL · DIGITAL UNITSData Storage Converter

    Compare bits and bytes using clearly separated decimal and binary prefixes.

    ADVERTISEMENT

    Reserved advertising space.