Extract a <table> from an HTML string as JSON rows (header-keyed) or CSV. Useful for prices, schedules, sports stats, or anything an agent has already fetched as HTML. If multiple tables match, the first is used.

Great-circle distance between two latitude/longitude points using the haversine formula. Returns kilometers and miles. Deterministic.

Compute the full descriptive-stats panel for an array of numbers in one call: count, sum, mean, median, mode, stddev (sample), variance, min, max, range, q1, q3, IQR. Beats calling 12 separate tools when you already have the array in front of you.

Holt-Winters triple exponential smoothing — level + trend + seasonal component. Use for series with a repeating cycle (weekly retail traffic, monthly utility usage, quarterly revenue). Additive seasonality (constant amplitude) or multiplicative (a...

Simple exponential smoothing (SES) — level-only forecast for series without trend or seasonality. Higher alpha (closer to 1) tracks recent values aggressively; lower alpha (closer to 0) smooths through noise. Default alpha=0.3 is a common conserva...

Three textbook baseline forecasts: mean (forecast = average of history), naive (forecast = last value), drift (linear extrapolation from first to last point). Use as a sanity floor — any sophisticated method (SES, Holt, Holt-Winters) should beat t...

Compute simple (SMA) and exponential (EMA) moving averages over a numeric series. Returns one value per input position — the first (window-1) SMA values are null since there isn't enough history. EMA uses the standard alpha = 2/(window+1) smoothin...

Run the same input through gzip, brotli, and raw deflate at max settings and report each one's output size and ratio. Use this to decide which algorithm to actually use — the answer depends on your content (binary often resists compression entirel...

Decompress a base64-encoded Brotli payload. Returns the result as utf8 (text) or base64 (binary). Refuses to expand past 10MB to defend against zip bombs.

Decompress a base64-encoded gzip payload. Returns the result as utf8 (text) or base64 (binary). Refuses to expand past 10MB to defend against zip bombs.

Extract <title>, <meta description>, OpenGraph/Twitter cards, canonical URL, and JSON-LD blocks from an HTML string. Distinct from /api/meta which fetches a URL — feed this the HTML you already have (from /api/render, /api/extract.body, or your ow...

Pearson correlation coefficient between two equal-length numeric series. Returns r (the correlation, -1 to 1), r² (variance explained), n (sample size). Use this to ask things like: is a stock's daily return correlated with a macro indicator? Are ...

Count exact LLM tokens for a string using the real OpenAI BPE (o200k_base for gpt-4o/o-series, cl100k_base for gpt-4/gpt-3.5). Deterministic, offline — budget context windows without calling a model.

Run a CSS selector against an HTML string and return the matches (text, attrs, and optionally outerHTML for each). The deterministic alternative to regex when you already have the HTML and know the selector — pairs with /api/render or any page you...

Compress a string with gzip (RFC 1952) and return it as base64. Reports input bytes, output bytes, and the compression ratio so you can decide if it was worth doing. Input can be plain text (utf8) or already-binary content (base64 or hex).

Flag outliers in a numeric series using either the IQR rule (Tukey fences at 1.5·IQR — robust, default) or z-score (|z| > threshold — assumes normality). Returns the outlier values + their indices + the thresholds used so you can decide whether to...

Split text into overlapping chunks for RAG ingestion — by characters (default) or by exact LLM tokens. Returns the chunks plus offsets. Deterministic, no model needed.

Generate a deterministic name-based UUID (version 5, SHA-1) from a namespace + name — the same inputs always yield the same UUID, for stable IDs without a database. Namespace may be a UUID or an alias: dns | url | oid | x500.

Compute the WCAG 2.x contrast ratio between two colors (hex #rgb or #rrggbb) and whether it passes AA/AAA for normal and large text. Deterministic — for accessible color choices without a tool in the loop.

Convert a JSON value to indented XML — the reverse of xml-to-json. Objects become nested elements, arrays repeat their tag, and text is escaped. Deterministic.