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Big-O Operation Lookup — result sheet
Operation count for input size n under six common complexity classes.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: ops: 1; log2(n); n; n·log2(n); n²; 2^n (above 1e15 returns a warning string).
Big-O names the fastest-growing term. The tool evaluates that term at n so sizes compare directly; exponentials beyond 1e15 return a warning string instead of a number.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Input size n — minimum 1; maximum 1000000000
- Complexity class — 6 choices
Worked example
| Input | Value |
|---|---|
| Input size n | 1000 |
| Complexity class | quadratic |
1000000 operations; growth class O(n²) — quadratic.
Assumptions and limits
- Unit cost per operation; constants and lower terms ignored.
- Logarithms are base 2, counting binary splits.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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