HyperLogLog Memory and Error Calculator
Estimate asymptotic HyperLogLog standard error and densely packed register memory from precision bits.
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Result
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Calculation steps
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How to calculate
Separate the register array allocation from the estimator’s asymptotic one-standard-error scale.
Registers m=2^p; asymptotic relative standard error≈1.04/√m; packed bytes=ceil(m×register bits/8)
Worked example
p=14 gives 16384 registers and approximate relative standard error 0.8125%.
Assumptions and input details
Dense register arithmetic only; small-range correction, hashing bias, register saturation, sparse encoding and implementation metadata are excluded. Approximate standard error is not a guaranteed maximum or confidence interval.
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.
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The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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