{
  "meta": {
    "attribution": "Anchor Terminal (https://www.anchorterminal.com)",
    "docs": "https://www.anchorterminal.com/docs/",
    "generatedAt": "2026-10-04",
    "license": "CC-BY-4.0",
    "method": "https://www.anchorterminal.com/benchmark/",
    "methodology": "0.3",
    "openapi": "https://www.anchorterminal.com/openapi.json",
    "preview": false,
    "run": "2026-10-01",
    "runLabel": "October 2026 research run"
  },
  "tool": {
    "category": "",
    "endpoint": "https://equation.io/mcp",
    "jsonUrl": "https://www.anchorterminal.com/api/v1/tools/equation.json",
    "kind": "mcp",
    "listed": "indexed",
    "liveUrl": "https://www.anchorterminal.com/api/v1/live/equation.json",
    "markdownUrl": "https://www.anchorterminal.com/tools/equation.md",
    "mcpTools": {
      "check": {
        "checker": "anchor-check/1.0",
        "totalTokens": 1559,
        "counts": {
          "error": 0,
          "note": 0,
          "warn": 0
        },
        "findings": []
      },
      "checkedAt": "2026-10-04T22:25:18Z",
      "count": 3,
      "note": "answered without the initialize handshake",
      "schemaTokens": 1559,
      "status": "ok",
      "tools": [
        {
          "name": "encode_graph_url",
          "title": "Create a graph link",
          "description": "Build an equation.io graph link, validating every row with the app's parser. Pass the COMPLETE graph in \"equations\": a flat array of strings, one equation or definition per string, in display order — when editing an existing graph (see decode_graph_url), include unchanged rows too.\n\nRows can be: equations and inequalities in x,y (curves, regions; z makes it 3D), bare expressions in x, y (scalar fields — a curve is written y = f(x); complex plots via w), points (rows report \"draggable\"), parametric tuples in u,v — and definitions: \"a = 2\" (a draggable slider), \"f(x) = x^3 - a x\", coordinate fields like \"r = sqrt(x^2+y^2)\" for polar. t animates. Also derivatives d/dx, integrals int[a..b] f dx, sums sum[n=1..N], domain()/conformal()/iter() for complex plots, rgb()/hsl()/oklch() color fields, y' = … slope fields, random variables \"X ~ Normal(m, s)\"/\"P(0\u003cX\u003c2)\"/\"E(X^2)\", and \"view(x = -5..5, y = -2..2)\"/\"camera(theta, phi)\" framing rows. That is a menu, not the syntax: before your first non-trivial graph, read the \"syntax\" MCP resource (also at https://equation.io/llms.txt).\n\nThe result returns text and structured data only. \"rows\" gives each equation's validation result: status \"ok\" with its kind, or \"error\" with the parser message. The link is usable only once every row is \"ok\". Give users the share_url (it unfurls to a preview card in chat apps); url is the equivalent #-fragment form. \"preview\" and \"preview_omits\" describe the share link's simplified static preview (t = 0, 3D as wireframes), which draws less than the interactive app. No image is attached to the tool response.",
          "inputSchema": {
            "additionalProperties": false,
            "properties": {
              "equations": {
                "description": "Every equation in the graph, in display order. One equation or definition per string — do not join rows with \";\" (inside quoted text a \";\" is data, and kept).",
                "items": {
                  "type": "string"
                },
                "type": "array"
              }
            },
            "required": [
              "equations"
            ],
            "type": "object"
          },
          "outputSchema": {
            "additionalProperties": false,
            "properties": {
              "preview": {
                "description": "Static preview availability and limitations.",
                "type": "string"
              },
              "preview_omits": {
                "items": {
                  "additionalProperties": false,
                  "properties": {
                    "row": {
                      "type": "string"
                    },
                    "why": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "row",
                    "why"
                  ],
                  "type": "object"
                },
                "type": "array"
              },
              "rows": {
                "items": {
                  "anyOf": [
                    {
                      "additionalProperties": false,
                      "properties": {
                        "animated": {
                          "type": "boolean"
                        },
                        "draggable": {
                          "type": "boolean"
                        },
                        "kind": {
                          "type": "string"
                        },
                        "note": {
                          "type": "string"
                        },
                        "status": {
                          "enum": [
                            "ok"
                          ],
                          "type": "string"
                        },
                        "text": {
                          "type": "string"
                        },
                        "value": {
                          "type": "string"
                        }
                      },
                      "required": [
                        "text",
                        "status",
                        "kind"
                      ],
                      "type": "object"
                    },
                    {
                      "additionalProperties": false,
                      "properties": {
                        "error": {
                          "type": "string"
                        },
                        "status": {
                          "enum": [
                            "error"
                          ],
                          "type": "string"
                        },
                        "text": {
                          "type": "string"
                        }
                      },
                      "required": [
                        "text",
                        "status",
                        "error"
                      ],
                      "type": "object"
                    }
                  ]
                },
                "type": "array"
              },
              "share_url": {
                "description": "Shareable /g/ graph URL.",
                "type": "string"
              },
              "url": {
                "description": "Graph URL using a #-fragment.",
                "type": "string"
              },
              "valid": {
                "type": "boolean"
              }
            },
            "required": [
              "valid",
              "url",
              "share_url",
              "preview",
              "rows"
            ],
            "type": "object"
          },
          "annotations": {
            "destructiveHint": false,
            "idempotentHint": true,
            "openWorldHint": false,
            "readOnlyHint": true,
            "title": "Create a graph link"
          }
        },
        {
          "name": "decode_graph_url",
          "title": "Read a graph link",
          "description": "Decode an equation.io link (either the #-fragment form or the /g/ share form) into its list of equation rows, so you can edit them and build a new link with encode_graph_url. The rows use the equation.io syntax documented in the \"syntax\" MCP resource (also at https://equation.io/llms.txt).",
          "inputSchema": {
            "properties": {
              "url": {
                "description": "An equation.io graph URL.",
                "type": "string"
              }
            },
            "required": [
              "url"
            ],
            "type": "object"
          },
          "outputSchema": {
            "additionalProperties": false,
            "properties": {
              "equations": {
                "items": {
                  "type": "string"
                },
                "type": "array"
              }
            },
            "required": [
              "equations"
            ],
            "type": "object"
          },
          "annotations": {
            "destructiveHint": false,
            "idempotentHint": true,
            "openWorldHint": false,
            "readOnlyHint": true,
            "title": "Read a graph link"
          }
        },
        {
          "name": "show_graph",
          "title": "Show an interactive graph",
          "description": "Display an interactive equation.io graph inside the conversation, with editable equations, sliders, pan/zoom, and 3D rotation. Use when the user asks to see or explore a graph. Pass the COMPLETE graph as \"equations\", one equation or definition per string, preserving unchanged rows when editing. For a slider use \"a = 2\" then \"y = a sin(x)\". For advanced syntax read the \"syntax\" resource (https://equation.io/llms.txt). Returns per-row validation and share links; a row with status \"error\" is not drawn until its text is corrected and the graph resubmitted. Use encode_graph_url for validation or link-only requests (including share-link preview notes). In clients without UI support, provide share_url.",
          "inputSchema": {
            "additionalProperties": false,
            "properties": {
              "equations": {
                "description": "Every equation in the graph, in display order. One equation or definition per string — do not join rows with \";\" (inside quoted text a \";\" is data, and kept).",
                "items": {
                  "type": "string"
                },
                "type": "array"
              }
            },
            "required": [
              "equations"
            ],
            "type": "object"
          },
          "outputSchema": {
            "additionalProperties": false,
            "properties": {
              "rows": {
                "items": {
                  "anyOf": [
                    {
                      "additionalProperties": false,
                      "properties": {
                        "animated": {
                          "type": "boolean"
                        },
                        "draggable": {
                          "type": "boolean"
                        },
                        "kind": {
                          "type": "string"
                        },
                        "note": {
                          "type": "string"
                        },
                        "status": {
                          "enum": [
                            "ok"
                          ],
                          "type": "string"
                        },
                        "text": {
                          "type": "string"
                        },
                        "value": {
                          "type": "string"
                        }
                      },
                      "required": [
                        "text",
                        "status",
                        "kind"
                      ],
                      "type": "object"
                    },
                    {
                      "additionalProperties": false,
                      "properties": {
                        "error": {
                          "type": "string"
                        },
                        "status": {
                          "enum": [
                            "error"
                          ],
                          "type": "string"
                        },
                        "text": {
                          "type": "string"
                        }
                      },
                      "required": [
                        "text",
                        "status",
                        "error"
                      ],
                      "type": "object"
                    }
                  ]
                },
                "type": "array"
              },
              "share_url": {
                "description": "Shareable /g/ graph URL.",
                "type": "string"
              },
              "url": {
                "description": "Graph URL using a #-fragment.",
                "type": "string"
              },
              "valid": {
                "type": "boolean"
              }
            },
            "required": [
              "valid",
              "url",
              "share_url",
              "rows"
            ],
            "type": "object"
          },
          "annotations": {
            "destructiveHint": false,
            "idempotentHint": true,
            "openWorldHint": false,
            "readOnlyHint": true,
            "title": "Show an interactive graph"
          }
        }
      ]
    },
    "name": "Equation.io",
    "note": "Indexed from the official MCP registry: facts and our own checks, not reviewed, so no score, grade or rank.",
    "packages": null,
    "pageJsonUrl": "https://www.anchorterminal.com/tools/equation.json",
    "popularity": {
      "githubStars": 406
    },
    "registryName": "io.equation/equation",
    "remotes": [
      {
        "type": "streamable-http",
        "url": "https://equation.io/mcp"
      }
    ],
    "repository": "https://github.com/aantthony/equation.io",
    "reviewed": false,
    "slug": "equation",
    "source": "the official MCP registry",
    "sourceUrl": "https://registry.modelcontextprotocol.io/v0.1/servers?search=io.equation/equation",
    "summary": "Create interactive 2D and 3D graphs with validated equations, shareable links, and PNG previews.",
    "updatedAt": "2026-10-02T10:56:21Z",
    "url": "https://www.anchorterminal.com/tools/equation",
    "vendor": "equation.io",
    "vendorUrl": "https://equation.io",
    "version": "1.0.1",
    "websiteUrl": "https://equation.io",
    "where": "hosted",
    "why": [
      "vendor",
      "popular"
    ]
  }
}