resharp-algebra 0.3.0

boolean algebra and symbolic rewriting engine for resharp regex
Documentation
# RE#

[![crates.io](https://img.shields.io/crates/v/resharp.svg)](https://crates.io/crates/resharp)
[![docs.rs](https://docs.rs/resharp/badge.svg)](https://docs.rs/resharp)

A high-performance, automata-based regex engine with first-class support for **intersection** and **complement** operations. RE#'s main strength is complex patterns - large lists of alternatives, lookarounds, and boolean combinations - where traditional engines degrade or fall back to slower paths.

RE# compiles patterns into deterministic automata. All matching is non-backtracking with guaranteed linear-time execution. RE# extends standard regex syntax with intersection (`&`), complement (`~`), and a universal wildcard (`_`), enabling patterns that are impossible or impractical to express with standard regex.

[paper]https://dl.acm.org/doi/10.1145/3704837 | [blog post]https://iev.ee/blog/symbolic-derivatives-and-the-rust-rewrite-of-resharp/ | [syntax docs]https://github.com/ieviev/resharp/blob/main/docs/syntax.md | [dotnet version]https://github.com/ieviev/resharp-dotnet and [web playground]https://ieviev.github.io/resharp-webapp/

## Install

```
cargo add resharp
```

## Usage

```rust
let re = resharp::Regex::new(r".*cat.*&.*dog.*&.{8,15}").unwrap();

let matches = re.find_all(b"the cat and the dog");
let found = re.is_match(b"the cat and the dog");
```

## Syntax extensions

RE# supports standard regex syntax plus three extensions: `_` (universal wildcard), `&` (intersection), and `~(...)` (complement). `_` matches any character including newlines, so `_*` means "any string".

```
_*              any string
a_*             any string that starts with 'a'
_*a             any string that ends with 'a'
_*a_*           any string that contains 'a'
~(_*a_*)        any string that does NOT contain 'a'
(_*a_*)&~(_*b_*)  contains 'a' AND does not contain 'b'
(?<=b)_*&_*(?=a)  preceded by 'b' AND followed by 'a'
```

You combine all of these with `&` to get more complex patterns. RE# also supports lookarounds (`(?=...)`, `(?<=...)`, `(?!...)`, `(?<!...)`), compiled directly into the automaton with no backtracking. 

NOTE: RE# is not compatible with some `regex` crate features, eg. lazy quantifiers (`.*?`). See the full [syntax reference](docs/syntax.md) for details.

### Differences from [`resharp-dotnet`]https://github.com/ieviev/resharp-dotnet and rust `regex`

Written from scratch in rust - operates on `&[u8]` / UTF-8 rather than UTF-16, uses `regex-syntax` as a parser base. When to use this over the `regex` crate:

- intersection, complement, or lookarounds
- large alternatives with high performance (at the expense of memory)
- leftmost longest matches rather than leftmost first
- `find_anchored` and `find_all` (no `find` or `captures`)

Matching returns `Result<Vec<Match>, Error>` - capacity or lookahead overflow will fail outright rather than silently degrade. `EngineOptions` controls precompilation threshold, capacity, and lookahead context:

```rust
let opts = resharp::EngineOptions {
    dfa_threshold: 100,           // eagerly compile up to N states
    max_dfa_capacity: 65535,       // max automata states (default: u16::MAX)
    lookahead_context_max: 800,    // max lookahead context distance (default: 800)
};
let re = resharp::Regex::with_options(r"pattern", opts).unwrap();
```

## Benchmarks

Throughput comparison with `regex` and `fancy-regex`, compiled with `--release`. Compile time is excluded; only matching is measured. Uses SIMD intrinsics (AVX2, NEON) with possibly more backends in the near future. Run with `cargo bench -- 'readme/' --list`.

### AMD Ryzen 7 5800X (105W TDP)

| Benchmark | resharp | regex | fancy-regex |
|---|---|---|---|
| dictionary 2663 words (900KB, ~15 matches) | 500 MiB/s | 552 MiB/s | 545 MiB/s |
| dictionary 2663 words (944KB, ~2678 matches) | **449 MiB/s** | 58 MiB/s | 20 MiB/s |
| dictionary `(?i)` 2663 words (900KB) | **503 MiB/s** | 0.03 MiB/s | 0.03 MiB/s |
| lookaround `(?<=\s)[A-Z][a-z]+(?=\s)` (900KB) | **386 MiB/s** | -- | 25 MiB/s |
| literal alternation (900KB) | **12.1 GiB/s** | 11.4 GiB/s | 10.2 GiB/s |
| literal `"Sherlock Holmes"` (900KB) | 33.9 GiB/s | 38.7 GiB/s | 33.7 GiB/s |

### Rockchip RK3588 ARM (5-10W TDP)

| Benchmark | resharp | regex | fancy-regex |
|---|---|---|---|
| dictionary 2663 words (900KB, ~15 matches) | 287 MiB/s | 313 MiB/s | 312 MiB/s |
| dictionary seeded (944KB, ~2678 matches) | **229 MiB/s** | 25 MiB/s | 8 MiB/s |
| dictionary `(?i)` 2663 words (900KB) | **288 MiB/s** | 0.01 MiB/s | 0.01 MiB/s |
| lookaround `(?<=\s)[A-Z][a-z]+(?=\s)` (900KB) | **204 MiB/s** | -- | 9 MiB/s |
| literal alternation (900KB) | 1.70 GiB/s | 1.99 GiB/s | 1.94 GiB/s |
| literal `"Sherlock Holmes"` (900KB) | 6.44 GiB/s | 7.11 GiB/s | 6.85 GiB/s |

**Notes on the results:**

- The first dictionary row is roughly tied - the prose haystack only contains ~15 matches, so the lazy DFA barely explores any states. RE#'s advantage is that its full DFA is smaller, but this isn't visible when most states are never materialized.
- On longer inputs or denser matches, the other engines will degrade - take lazy-dfa benchmarks with a grain of salt, you will not be matching the exact same string over and over in the real world. The seeded dictionary row confirms this: with ~2678 matches, RE# holds at 449 MiB/s vs 58 MiB/s for `regex` on x86, and 229 MiB/s vs 25 MiB/s on ARM.
- The `(?i)` row shows what happens when the pattern forces `regex` to fall back from its DFA to an NFA: throughput drops to 0.03 MiB/s (x86) / 0.01 MiB/s (ARM). RE# handles case folding in the DFA and maintains full speed. You can increase `regex`'s DFA threshold to avoid this fallback, but only up to a point.
- RE# compiles lookarounds directly into the automaton - no back-and-forth between forward and backward passes. `regex` doesn't support lookarounds except for anchors; `fancy-regex` handles them via backtracking, which is occasionally much slower.
- The same patterns that win on x86 also win on ARM - the full DFA approach scales down well.
- If you encounter a bug or a pattern where RE# is >5x slower than `regex` or `fancy-regex`, please [open an issue]https://github.com/ieviev/resharp/issues - it would help improve the library. Note that `regex` returns leftmost-first matches while RE# returns leftmost-longest, so match results may differ. The performance profile also differs - RE# works right to left while `regex` works left to right.

## Crate structure

| Crate | Description |
|-------|-------------|
| `resharp` | engine and public API `(resharp-engine)` |
| `resharp-algebra` | algebraic regex tree, constraint solver, nullability analysis |
| `resharp-parser` | pattern string to AST, extends `regex-syntax` with RE# operators |

And most importantly, have fun! :)