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align=\"center\">\n    <img alt=\"math live\" src=\"assets/compute-engine.jpg?raw=true\"/>\n</div>\n\n<h3><strong>Cortex Compute Engine</strong></h3>\n<h1>Symbolic manipulation and numeric evaluation of MathJSON expressions</h1>\n\n[MathJSON](https://cortexjs.io/math-json/) is a lightweight mathematical\nnotation interchange format based on JSON.\n\nThe Cortex Compute Engine can parse LaTeX to MathJSON, serialize MathJSON to\nLaTeX or MathASCII, format, simplify and evaluate MathJSON expressions.\n\nReference documentation and guides at\n[cortexjs.io/compute-engine](https://cortexjs.io/compute-engine/).\n\n[![](https://dcbadge.vercel.app/api/server/yhmvVeJ4Hd)](https://discord.gg/yhmvVeJ4Hd)\n\n## Installation\n\n```bash\n$ npm install --save @cortex-js/compute-engine\n```\n\n## Quick Start\n\n### Basic Parsing and Evaluation\n\nNo setup required:\n\n```js\nimport { simplify, evaluate, N, assign } from \"@cortex-js/compute-engine\";\n\nsimplify(\"x + x + 1\").print();\n// ➔ 2x + 1\n\nevaluate(\"2^{11} - 1\").print();\n// ➔ 2047\n\nN(\"\\\\sqrt{2}\").print();\n// ➔ 1.414213562...\n\nassign(\"x\", 3);\nevaluate(\"x + 2\").print();\n// ➔ 5\n```\n\nThese functions use a shared `ComputeEngine` instance created on first use. Use\n`getDefaultEngine()` to configure it, or create your own instance for isolated\nconfigurations.\n\n### Working with Numbers (Type-Safe)\n\nUse type guards to safely access specialized properties:\n\n```js\nimport { evaluate, isNumber } from \"@cortex-js/compute-engine\";\n\nconst expr = evaluate(\"\\\\frac{5}{2}\");\n\nif (isNumber(expr)) {\n  console.log(expr.numericValue);  // 2.5 (type-safe access)\n  console.log(expr.isInteger);     // false\n}\n```\n\n### Working with Symbols\n\n```js\nimport { parse, isSymbol, sym } from \"@cortex-js/compute-engine\";\n\nconst expr = parse(\"x + 1\");\n\n// Check if expression is a specific symbol\nif (sym(expr) === \"x\") {\n  console.log(\"This is the variable x\");\n}\n\n// Or use full type guard for more access\nconst variable = parse(\"y\");\nif (isSymbol(variable)) {\n  console.log(variable.symbol);  // \"y\"\n}\n```\n\n### Working with Functions\n\n```js\nimport { parse, isFunction } from \"@cortex-js/compute-engine\";\n\nconst expr = parse(\"2x + 3y\");\n\n// Access function structure safely\nif (isFunction(expr)) {\n  console.log(expr.operator);    // \"Add\"\n  console.log(expr.ops.length);  // 2\n\n  // Iterate over operands\n  for (const op of expr.ops) {\n    console.log(op.toString());\n  }\n}\n```\n\n### Simplification and Manipulation\n\n```js\nimport { parse, simplify, expand } from \"@cortex-js/compute-engine\";\n\n// Simplify expressions\nsimplify(\"x + x\").print();\n// ➔ 2x\n\n// Expand from LaTeX or Expression\nexpand(\"(x + 1)^2\").print();\n// ➔ x^2 + 2x + 1\n\n// Substitute values\nconst expr = parse(\"x^2 + 2x + 1\");\nexpr.subs({ x: 3 }).evaluate().print();\n// ➔ 16\n```\n\n### Solving Equations\n\n```js\nimport { solve, parse } from \"@cortex-js/compute-engine\";\n\n// Solve from LaTeX\nsolve(\"x^2 - 5x + 6 = 0\", \"x\");\n// ➔ [2, 3]\n\n// Solve a linear system\nconst system = parse(\"\\\\begin{cases}x+y=5\\\\\\\\x-y=1\\\\end{cases}\");\nconst solution = system.solve([\"x\", \"y\"]);\n\nconsole.log(solution.x.json);  // 3\nconsole.log(solution.y.json);  // 2\n```\n\n**💡 Best Practices:**\n\n- Always use type guards (`isNumber`, `isSymbol`, `isFunction`) before accessing\n  specialized properties\n- Use the `sym()` helper for quick symbol name checks\n\n**📚 Learn More:**\n[Full documentation and guides](https://cortexjs.io/compute-engine/)\n\n## FAQ\n\n**Q** How do I build the project?\n\n[Build](BUILD.md) instructions\n\n## Related Projects\n\n<dl>\n  <dt><a href=\"https://cortexjs.io/math-json/\">MathJSON</a></dt>\n  <dd>A lightweight mathematical notation interchange format</dd>  \n  <dt><a href=\"https://cortexjs.io/mathlive\">MathLive</a> (on <a href=\"https://github.com/arnog/mathlive\">GitHub</a>)</dt>\n  <dd>A Web Component for math input.</dd>  \n</dl>\n\n## Support the Project\n\n- <span style='font-size:1.5em'>🌟</span> Star the GitHub repo (it really helps)\n- <span style='font-size:1.5em'>💬</span> Ask questions and give feedback on our\n  [Discussion Forum](https://cortexjs.io/forum/)\n- <span style='font-size:1.5em'>📨</span> Drop a line to arno@arno.org\n\n## License\n\nThis project is licensed under the [MIT License](LICENSE).","users":{}}