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Big-O Complexity Class Comparison Calculator
x402
Big-O Complexity Class Comparison Calculator is a paid API for AI agents from data-calc.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Compares common algorithmic growth classes (n, n log n, n², 2ⁿ, n!) at a given input size n, returning operation counts, estimated run times, and the largest n feasible within a time budget.
Price / call$0.02
Success—
StatusUnknown
How this service works
Compare growth classes (n, n log n, n^2, 2^n, n!) at a given n: operation counts, run time, largest n a time budget allows.
Output
Returns a structured object containing, for each complexity class (n, n log n, n², 2ⁿ, n!): the estimated operation count (as a formatted string and log10 value), the estimated run time in seconds and human-readable form, whether the class is feasible within the given time budget, and the largest n that fits within the budget. Also includes a summary verdict, explanatory reasons, the configured ops-per-second and budget, and any disclaimer about approximation for very large numbers.
Example use cases
Algorithm feasibility check before implementation
“I'm considering three different sorting approaches for a dataset of 50000 elements — can you show me the operation counts and estimated run times for O(n log n), O(n^2), and O(2^n) so I can see which ones are even worth considering on a 1-billion-ops-per-second machine?”
Largest feasible input for a deadline
“I need to process as much data as possible within a 10-second budget on a machine doing 5 billion operations per second — what's the largest n I can handle for each complexity class?”
CS education Big-O illustration
“Show me a side-by-side comparison of all the standard complexity classes — n, n log n, n squared, 2 to the n, and n factorial — for an input size of 100, so I can explain to students how dramatically they diverge.”
Technical details
Endpoint
GEThttps://data-calc.x402tookit.com/big-o?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need a quick, structured comparison of multiple algorithmic complexity classes at a specific input size — especially for capacity planning, algorithm selection, or educational illustration. It is purpose-built for systems capacity reasoning and returns all major growth classes in one call, unlike general-purpose math APIs that require separate computation per class.
Side effects
- n out of range (must be 1 to 1e12) returns a validation error
- missing required query parameter n returns a 400-level error
- opsPerSecond or budgetSeconds set to zero or negative may cause undefined behavior
- very large n values for 2^n and n! return approximated powers of ten rather than exact counts
- payment of 0.02 USDC not provided results in 402 Payment Required response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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