diff --git a/README.md b/README.md
index 343a7a0..fe1965b 100644
--- a/README.md
+++ b/README.md
@@ -25,8 +25,8 @@ CDN usage:
 - **Procedural:** 2D/3D Perlin noise, Simplex noise, Worley (cellular) noise
 - **Spatial:** Quadtree, AABB helpers, SAT polygon intersection, circle-ray intersection, swept AABB
 - **Search & Text:** Fuzzy search/scoring, Trie autocomplete, binary search, Levenshtein distance
-- **Data:** Diff (LCS), deep clone, groupBy
-- **Web performance:** Debounce, throttle, LRU cache, memoize, request deduplication helper
+- **Data:** Diff (LCS), deep clone, groupBy, JSON diff/patch helpers
+- **Web performance:** Debounce, throttle, LRU cache, memoize, request deduplication helper, virtual scrolling range calculator
 - **Graph:** BFS distance map, DFS traversal, topological sort
 - **Visual & Geometry:** Convex hull, line intersection, point-in-polygon, easing presets, Bezier helpers
 - **AI Behaviours:** Steering behaviours (seek, flee, arrive, pursue, wander), boids flocking update, behaviour trees
@@ -37,6 +37,7 @@ npm run lint        # ESLint + TypeScript rules
 npm run typecheck   # Strict TypeScript validation
 npm run build       # Emits dist/ with ESM + .d.ts
 npm test            # Vitest suite
+npm run benchmark   # Compare algorithm variants locally
 ```
 
 Examples live under `examples/` and can be executed with `tsx`/`ts-node` or compiled for the browser. See `examples/astar.ts`, `examples/steering.ts`, `examples/boids.ts`, `examples/requestDedup.ts`, `examples/sat.ts`, `examples/simplex.ts`, and `examples/worley.ts` for quick starts.
diff --git a/ROADMAP.md b/ROADMAP.md
index 1c9a827..d85c005 100644
--- a/ROADMAP.md
+++ b/ROADMAP.md
@@ -23,7 +23,7 @@
 - [x] Introduce request deduplication helper
 - [x] Ship virtual scrolling utilities
 - [x] Add diff/patch helpers for nested JSON structures
-- [ ] Create benchmarking scripts to compare algorithm variants
+- [x] Create benchmarking scripts to compare algorithm variants
 - [ ] Expand CI to include coverage gating and bundle size checks
 
 ## Milestone 1.0.0 – Production Readiness
diff --git a/benchmarks/runBenchmarks.mjs b/benchmarks/runBenchmarks.mjs
new file mode 100644
index 0000000..060a8e7
--- /dev/null
+++ b/benchmarks/runBenchmarks.mjs
@@ -0,0 +1,289 @@
+#!/usr/bin/env node
+import { existsSync } from 'node:fs';
+import { join, dirname } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { performance } from 'node:perf_hooks';
+
+const __dirname = dirname(fileURLToPath(import.meta.url));
+const distEntry = join(__dirname, '../dist/index.js');
+
+if (!existsSync(distEntry)) {
+  console.error('dist/index.js not found. Run "npm run build" before benchmarking.');
+  process.exit(1);
+}
+
+const {
+  astar,
+  dijkstra,
+  manhattanDistance,
+  graphBFS,
+  perlin,
+  worley,
+  simplex2D,
+  Quadtree,
+} = await import('../dist/index.js');
+
+function runBenchmarks() {
+  const benchmarks = [
+    createNoiseBenchmark(),
+    createSpatialBenchmark(),
+    createGraphBenchmark(),
+  ];
+
+  console.log('LLM Algorithms – Benchmark Suite');
+  console.log('===================================');
+
+  for (const benchmark of benchmarks) {
+    executeBenchmark(benchmark);
+  }
+}
+
+function createRng(seed = 42) {
+  let state = seed >>> 0;
+  return () => {
+    state = (state + 0x6d2b79f5) >>> 0;
+    let t = Math.imul(state ^ (state >>> 15), 1 | state);
+    t ^= t + Math.imul(t ^ (t >>> 7), 61 | t);
+    return ((t ^ (t >>> 14)) >>> 0) / 4294967296;
+  };
+}
+
+function createNoiseBenchmark() {
+  const width = 128;
+  const height = 128;
+  const seed = 1337;
+
+  return {
+    name: 'Procedural noise generation (128×128)',
+    iterations: 5,
+    context: { width, height, seed },
+    variants: [
+      {
+        name: 'Perlin',
+        run: ({ width: w, height: h, seed: s }) => aggregateGrid(perlin({ width: w, height: h, seed: s })),
+      },
+      {
+        name: 'Worley',
+        run: ({ width: w, height: h, seed: s }) => aggregateGrid(worley({ width: w, height: h, points: 32, seed: s })),
+      },
+      {
+        name: 'Simplex',
+        run: ({ width: w, height: h, seed: s }) => aggregateSimplex(w, h, s),
+      },
+    ],
+  };
+}
+
+function aggregateGrid(grid) {
+  let total = 0;
+  for (const row of grid) {
+    for (const value of row) {
+      total += value;
+    }
+  }
+  return total;
+}
+
+function aggregateSimplex(width, height, seed) {
+  let total = 0;
+  for (let y = 0; y < height; y += 1) {
+    for (let x = 0; x < width; x += 1) {
+      total += simplex2D(x / width, y / height, seed);
+    }
+  }
+  return total;
+}
+
+function createSpatialBenchmark() {
+  const pointCount = 10_000;
+  const queryRect = { x: 200, y: 200, width: 300, height: 300 };
+  const rng = createRng(123);
+
+  const points = Array.from({ length: pointCount }, () => ({
+    x: rng() * 1_000,
+    y: rng() * 1_000,
+  }));
+
+  const tree = new Quadtree({ x: 0, y: 0, width: 1_000, height: 1_000 }, 8);
+  for (const point of points) {
+    tree.insert(point);
+  }
+
+  return {
+    name: 'Spatial query – quadtree vs linear scan',
+    iterations: 50,
+    context: { points, queryRect, tree },
+    variants: [
+      {
+        name: 'Quadtree query',
+        run: ({ tree: qt, queryRect: rect }) => qt.query(rect).length,
+      },
+      {
+        name: 'Linear scan',
+        run: ({ points: pts, queryRect: rect }) => {
+          let hits = 0;
+          const { x, y, width, height } = rect;
+          const x2 = x + width;
+          const y2 = y + height;
+          for (const point of pts) {
+            if (point.x >= x && point.x <= x2 && point.y >= y && point.y <= y2) {
+              hits += 1;
+            }
+          }
+          return hits;
+        },
+      },
+    ],
+  };
+}
+
+function createGraphBenchmark() {
+  const dimension = 32;
+  const obstacleChance = 0.18;
+  const baseSeed = 9001;
+
+  let generated;
+  let reachable = false;
+  for (let attempt = 0; attempt < 8 && !reachable; attempt += 1) {
+    generated = buildGridGraph(dimension, obstacleChance, baseSeed + attempt);
+    const distances = graphBFS(generated.graph, generated.startNode);
+    reachable = distances.has(generated.goalNode);
+  }
+
+  if (!generated || !reachable) {
+    throw new Error('Failed to generate a traversable grid graph for benchmarking.');
+  }
+
+  return {
+    name: 'Graph traversal – Dijkstra vs BFS vs A*',
+    iterations: 25,
+    context: generated,
+    variants: [
+      {
+        name: 'Dijkstra (weighted)',
+        run: ({ graph: g, startNode: s, goalNode: t }) => {
+          const result = dijkstra({ graph: g, start: s, goal: t });
+          return result ? result.cost : Number.POSITIVE_INFINITY;
+        },
+      },
+      {
+        name: 'BFS (unweighted)',
+        run: ({ graph: g, startNode: s, goalNode: t }) => {
+          const distances = graphBFS(g, s);
+          return distances.get(t) ?? Number.POSITIVE_INFINITY;
+        },
+      },
+      {
+        name: 'A* Manhattan heuristic',
+        run: ({ grid, startPoint, goalPoint }) => {
+          const path = astar({ grid, start: startPoint, goal: goalPoint, heuristic: manhattanDistance, allowDiagonal: false });
+          return path ? path.length : Number.POSITIVE_INFINITY;
+        },
+      },
+    ],
+  };
+}
+
+function buildGridGraph(size, obstacleChance, seed) {
+  const rng = createRng(seed);
+  const grid = Array.from({ length: size }, () => Array.from({ length: size }, () => 0));
+  for (let y = 0; y < size; y += 1) {
+    for (let x = 0; x < size; x += 1) {
+      if ((x === 0 && y === 0) || (x === size - 1 && y === size - 1)) {
+        continue;
+      }
+      grid[y][x] = rng() < obstacleChance ? 1 : 0;
+    }
+  }
+
+  const graph = {};
+  for (let y = 0; y < size; y += 1) {
+    for (let x = 0; x < size; x += 1) {
+      if (grid[y][x] === 1) {
+        continue;
+      }
+      const id = `${x},${y}`;
+      graph[id] = [];
+      const neighbors = [
+        [1, 0],
+        [-1, 0],
+        [0, 1],
+        [0, -1],
+      ];
+      for (const [dx, dy] of neighbors) {
+        const nx = x + dx;
+        const ny = y + dy;
+        if (nx < 0 || ny < 0 || nx >= size || ny >= size || grid[ny][nx] === 1) {
+          continue;
+        }
+        graph[id].push({ node: `${nx},${ny}`, weight: 1 + rng() * 4 });
+      }
+    }
+  }
+
+  return {
+    graph,
+    grid,
+    startNode: '0,0',
+    goalNode: `${size - 1},${size - 1}`,
+    startPoint: { x: 0, y: 0 },
+    goalPoint: { x: size - 1, y: size - 1 },
+  };
+}
+
+function executeBenchmark({ name, iterations, context, variants }) {
+  console.log(`\n${name}`);
+  console.log('-'.repeat(name.length));
+
+  const results = variants.map((variant) => measureVariant(variant, context, iterations));
+  const table = results.map((result) => ({
+    Variant: result.name,
+    'Avg ms': result.avgMs.toFixed(3),
+    'Ops/sec': result.opsPerSec.toFixed(2),
+    Iterations: iterations,
+    Checksum: result.checksum.toFixed(2),
+  }));
+
+  console.table(table);
+}
+
+function measureVariant(variant, context, iterations) {
+  // Warm up once.
+  variant.run(context);
+
+  const start = performance.now();
+  let checksum = 0;
+  for (let i = 0; i < iterations; i += 1) {
+    const value = variant.run(context);
+    checksum += normaliseResult(value);
+  }
+  const totalMs = performance.now() - start;
+  const avgMs = totalMs / iterations;
+  const opsPerSec = iterations / (totalMs / 1_000 || 1);
+
+  return { name: variant.name, avgMs, opsPerSec, checksum };
+}
+
+function normaliseResult(value) {
+  if (value === null || value === undefined) {
+    return 0;
+  }
+  if (typeof value === 'number') {
+    return value;
+  }
+  if (typeof value === 'string') {
+    return value.length;
+  }
+  if (Array.isArray(value)) {
+    return value.length;
+  }
+  if (value instanceof Map || value instanceof Set) {
+    return value.size;
+  }
+  if (typeof value === 'object') {
+    return Object.keys(value).length;
+  }
+  return 0;
+}
+
+runBenchmarks();
diff --git a/package.json b/package.json
index f22040f..f54cdf0 100644
--- a/package.json
+++ b/package.json
@@ -27,7 +27,8 @@
     "test": "vitest run",
     "test:watch": "vitest",
     "lint": "eslint 'src/**/*.ts' 'tests/**/*.ts'",
-    "format": "prettier --write ."
+    "format": "prettier --write .",
+    "benchmark": "node benchmarks/runBenchmarks.mjs"
   },
   "keywords": [
     "algorithms",