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by io.tinyfn
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compare

Compare two numbers (e.g., is 0.9 greater than 0.11?).

Input Schema

NameRequiredDescriptionDefault
aYesFirst number
bYesSecond number

Output Schema

NameRequiredDescriptionDefault
aYes
bYes
ratioNo
symbolYes
a_is_lessYes
are_equalYes
comparisonYes
differenceYes
descriptionYes
a_is_greaterYes
absolute_differenceYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed3 schema fields changed
    • removedOutput schema / $defs / CompareResponse
      Removed value: -{
-  "properties": {
-    "a": {
-      "title": "A",
-      "type": "number"
-    },
-    "a_is_greater": {
-      "title": "A Is Greater",
-      "type": "boolean"
-    },
-    "a_is_less": {
-      "title": "A Is Less",
-      "type": "boolean"
-    },
-    "absolute_difference": {
-      "title": "Absolute Difference",
-      "type": "number"
-    },
-    "are_equal": {
-      "title": "Are Equal",
-      "type": "boolean"
-    },
-    "b": {
-      "title": "B",
-      "type": "number"
-    },
-    "comparison": {
-      "title": "Comparison",
-      "type": "string"
-    },
-    "description": {
-      "title": "Description",
-      "type": "string"
-    },
-    "difference": {
-      "title": "Difference",
-      "type": "number"
-    },
-    "ratio": {
-      "anyOf": [
-        {
-          "type": "number"
-        },
-        {
-          "type": "null"
-        }
-      ],
-      "title": "Ratio"
-    },
-    "symbol": {
-      "title": "Symbol",
-      "type": "string"
-    }
-  },
-  "required": [
-    "a",
-    "b",
-    "comparison",
-    "symbol",
-    "description",
-    "difference",
-    "absolute_difference",
-    "a_is_greater",
-    "a_is_less",
-    "are_equal"
-  ],
-  "title": "CompareResponse",
-  "type": "object"
-}
    • addedOutput schema / $defs / app__routers__math_utils__CompareResponse
      Added value: +{
+  "properties": {
+    "a": {
+      "title": "A",
+      "type": "number"
+    },
+    "a_is_greater": {
+      "title": "A Is Greater",
+      "type": "boolean"
+    },
+    "a_is_less": {
+      "title": "A Is Less",
+      "type": "boolean"
+    },
+    "absolute_difference": {
+      "title": "Absolute Difference",
+      "type": "number"
+    },
+    "are_equal": {
+      "title": "Are Equal",
+      "type": "boolean"
+    },
+    "b": {
+      "title": "B",
+      "type": "number"
+    },
+    "comparison": {
+      "title": "Comparison",
+      "type": "string"
+    },
+    "description": {
+      "title": "Description",
+      "type": "string"
+    },
+    "difference": {
+      "title": "Difference",
+      "type": "number"
+    },
+    "ratio": {
+      "anyOf": [
+        {
+          "type": "number"
+        },
+        {
+          "type": "null"
+        }
+      ],
+      "title": "Ratio"
+    },
+    "symbol": {
+      "title": "Symbol",
+      "type": "string"
+    }
+  },
+  "required": [
+    "a",
+    "b",
+    "comparison",
+    "symbol",
+    "description",
+    "difference",
+    "absolute_difference",
+    "a_is_greater",
+    "a_is_less",
+    "are_equal"
+  ],
+  "title": "CompareResponse",
+  "type": "object"
+}
    • changedOutput schema / x-fastmcp-top-level-schema
      Previous value: -"CompareResponse"New value: +"app__routers__math_utils__CompareResponse"
  2. Changed3 schema fields changed
    • addedOutput schema / $defs / CompareResponse
      Added value: +{
+  "properties": {
+    "a": {
+      "title": "A",
+      "type": "number"
+    },
+    "a_is_greater": {
+      "title": "A Is Greater",
+      "type": "boolean"
+    },
+    "a_is_less": {
+      "title": "A Is Less",
+      "type": "boolean"
+    },
+    "absolute_difference": {
+      "title": "Absolute Difference",
+      "type": "number"
+    },
+    "are_equal": {
+      "title": "Are Equal",
+      "type": "boolean"
+    },
+    "b": {
+      "title": "B",
+      "type": "number"
+    },
+    "comparison": {
+      "title": "Comparison",
+      "type": "string"
+    },
+    "description": {
+      "title": "Description",
+      "type": "string"
+    },
+    "difference": {
+      "title": "Difference",
+      "type": "number"
+    },
+    "ratio": {
+      "anyOf": [
+        {
+          "type": "number"
+        },
+        {
+          "type": "null"
+        }
+      ],
+      "title": "Ratio"
+    },
+    "symbol": {
+      "title": "Symbol",
+      "type": "string"
+    }
+  },
+  "required": [
+    "a",
+    "b",
+    "comparison",
+    "symbol",
+    "description",
+    "difference",
+    "absolute_difference",
+    "a_is_greater",
+    "a_is_less",
+    "are_equal"
+  ],
+  "title": "CompareResponse",
+  "type": "object"
+}
    • removedOutput schema / $defs / app__routers__math_utils__CompareResponse
      Removed value: -{
-  "properties": {
-    "a": {
-      "title": "A",
-      "type": "number"
-    },
-    "a_is_greater": {
-      "title": "A Is Greater",
-      "type": "boolean"
-    },
-    "a_is_less": {
-      "title": "A Is Less",
-      "type": "boolean"
-    },
-    "absolute_difference": {
-      "title": "Absolute Difference",
-      "type": "number"
-    },
-    "are_equal": {
-      "title": "Are Equal",
-      "type": "boolean"
-    },
-    "b": {
-      "title": "B",
-      "type": "number"
-    },
-    "comparison": {
-      "title": "Comparison",
-      "type": "string"
-    },
-    "description": {
-      "title": "Description",
-      "type": "string"
-    },
-    "difference": {
-      "title": "Difference",
-      "type": "number"
-    },
-    "ratio": {
-      "anyOf": [
-        {
-          "type": "number"
-        },
-        {
-          "type": "null"
-        }
-      ],
-      "title": "Ratio"
-    },
-    "symbol": {
-      "title": "Symbol",
-      "type": "string"
-    }
-  },
-  "required": [
-    "a",
-    "b",
-    "comparison",
-    "symbol",
-    "description",
-    "difference",
-    "absolute_difference",
-    "a_is_greater",
-    "a_is_less",
-    "are_equal"
-  ],
-  "title": "CompareResponse",
-  "type": "object"
-}
    • changedOutput schema / x-fastmcp-top-level-schema
      Previous value: -"app__routers__math_utils__CompareResponse"New value: +"CompareResponse"
  3. Changed3 schema fields changed
    • removedOutput schema / $defs / CompareResponse
      Removed value: -{
-  "properties": {
-    "a": {
-      "title": "A",
-      "type": "number"
-    },
-    "a_is_greater": {
-      "title": "A Is Greater",
-      "type": "boolean"
-    },
-    "a_is_less": {
-      "title": "A Is Less",
-      "type": "boolean"
-    },
-    "absolute_difference": {
-      "title": "Absolute Difference",
-      "type": "number"
-    },
-    "are_equal": {
-      "title": "Are Equal",
-      "type": "boolean"
-    },
-    "b": {
-      "title": "B",
-      "type": "number"
-    },
-    "comparison": {
-      "title": "Comparison",
-      "type": "string"
-    },
-    "description": {
-      "title": "Description",
-      "type": "string"
-    },
-    "difference": {
-      "title": "Difference",
-      "type": "number"
-    },
-    "ratio": {
-      "anyOf": [
-        {
-          "type": "number"
-        },
-        {
-          "type": "null"
-        }
-      ],
-      "title": "Ratio"
-    },
-    "symbol": {
-      "title": "Symbol",
-      "type": "string"
-    }
-  },
-  "required": [
-    "a",
-    "b",
-    "comparison",
-    "symbol",
-    "description",
-    "difference",
-    "absolute_difference",
-    "a_is_greater",
-    "a_is_less",
-    "are_equal"
-  ],
-  "title": "CompareResponse",
-  "type": "object"
-}
    • addedOutput schema / $defs / app__routers__math_utils__CompareResponse
      Added value: +{
+  "properties": {
+    "a": {
+      "title": "A",
+      "type": "number"
+    },
+    "a_is_greater": {
+      "title": "A Is Greater",
+      "type": "boolean"
+    },
+    "a_is_less": {
+      "title": "A Is Less",
+      "type": "boolean"
+    },
+    "absolute_difference": {
+      "title": "Absolute Difference",
+      "type": "number"
+    },
+    "are_equal": {
+      "title": "Are Equal",
+      "type": "boolean"
+    },
+    "b": {
+      "title": "B",
+      "type": "number"
+    },
+    "comparison": {
+      "title": "Comparison",
+      "type": "string"
+    },
+    "description": {
+      "title": "Description",
+      "type": "string"
+    },
+    "difference": {
+      "title": "Difference",
+      "type": "number"
+    },
+    "ratio": {
+      "anyOf": [
+        {
+          "type": "number"
+        },
+        {
+          "type": "null"
+        }
+      ],
+      "title": "Ratio"
+    },
+    "symbol": {
+      "title": "Symbol",
+      "type": "string"
+    }
+  },
+  "required": [
+    "a",
+    "b",
+    "comparison",
+    "symbol",
+    "description",
+    "difference",
+    "absolute_difference",
+    "a_is_greater",
+    "a_is_less",
+    "are_equal"
+  ],
+  "title": "CompareResponse",
+  "type": "object"
+}
    • changedOutput schema / x-fastmcp-top-level-schema
      Previous value: -"CompareResponse"New value: +"app__routers__math_utils__CompareResponse"
  4. Changed3 schema fields changed
    • addedOutput schema / $defs / CompareResponse
      Added value: +{
+  "properties": {
+    "a": {
+      "title": "A",
+      "type": "number"
+    },
+    "a_is_greater": {
+      "title": "A Is Greater",
+      "type": "boolean"
+    },
+    "a_is_less": {
+      "title": "A Is Less",
+      "type": "boolean"
+    },
+    "absolute_difference": {
+      "title": "Absolute Difference",
+      "type": "number"
+    },
+    "are_equal": {
+      "title": "Are Equal",
+      "type": "boolean"
+    },
+    "b": {
+      "title": "B",
+      "type": "number"
+    },
+    "comparison": {
+      "title": "Comparison",
+      "type": "string"
+    },
+    "description": {
+      "title": "Description",
+      "type": "string"
+    },
+    "difference": {
+      "title": "Difference",
+      "type": "number"
+    },
+    "ratio": {
+      "anyOf": [
+        {
+          "type": "number"
+        },
+        {
+          "type": "null"
+        }
+      ],
+      "title": "Ratio"
+    },
+    "symbol": {
+      "title": "Symbol",
+      "type": "string"
+    }
+  },
+  "required": [
+    "a",
+    "b",
+    "comparison",
+    "symbol",
+    "description",
+    "difference",
+    "absolute_difference",
+    "a_is_greater",
+    "a_is_less",
+    "are_equal"
+  ],
+  "title": "CompareResponse",
+  "type": "object"
+}
    • removedOutput schema / $defs / app__routers__math_utils__CompareResponse
      Removed value: -{
-  "properties": {
-    "a": {
-      "title": "A",
-      "type": "number"
-    },
-    "a_is_greater": {
-      "title": "A Is Greater",
-      "type": "boolean"
-    },
-    "a_is_less": {
-      "title": "A Is Less",
-      "type": "boolean"
-    },
-    "absolute_difference": {
-      "title": "Absolute Difference",
-      "type": "number"
-    },
-    "are_equal": {
-      "title": "Are Equal",
-      "type": "boolean"
-    },
-    "b": {
-      "title": "B",
-      "type": "number"
-    },
-    "comparison": {
-      "title": "Comparison",
-      "type": "string"
-    },
-    "description": {
-      "title": "Description",
-      "type": "string"
-    },
-    "difference": {
-      "title": "Difference",
-      "type": "number"
-    },
-    "ratio": {
-      "anyOf": [
-        {
-          "type": "number"
-        },
-        {
-          "type": "null"
-        }
-      ],
-      "title": "Ratio"
-    },
-    "symbol": {
-      "title": "Symbol",
-      "type": "string"
-    }
-  },
-  "required": [
-    "a",
-    "b",
-    "comparison",
-    "symbol",
-    "description",
-    "difference",
-    "absolute_difference",
-    "a_is_greater",
-    "a_is_less",
-    "are_equal"
-  ],
-  "title": "CompareResponse",
-  "type": "object"
-}
    • changedOutput schema / x-fastmcp-top-level-schema
      Previous value: -"app__routers__math_utils__CompareResponse"New value: +"CompareResponse"
  5. Changed3 schema fields changed
    • removedOutput schema / $defs / CompareResponse
      Removed value: -{
-  "properties": {
-    "a": {
-      "title": "A",
-      "type": "number"
-    },
-    "a_is_greater": {
-      "title": "A Is Greater",
-      "type": "boolean"
-    },
-    "a_is_less": {
-      "title": "A Is Less",
-      "type": "boolean"
-    },
-    "absolute_difference": {
-      "title": "Absolute Difference",
-      "type": "number"
-    },
-    "are_equal": {
-      "title": "Are Equal",
-      "type": "boolean"
-    },
-    "b": {
-      "title": "B",
-      "type": "number"
-    },
-    "comparison": {
-      "title": "Comparison",
-      "type": "string"
-    },
-    "description": {
-      "title": "Description",
-      "type": "string"
-    },
-    "difference": {
-      "title": "Difference",
-      "type": "number"
-    },
-    "ratio": {
-      "anyOf": [
-        {
-          "type": "number"
-        },
-        {
-          "type": "null"
-        }
-      ],
-      "title": "Ratio"
-    },
-    "symbol": {
-      "title": "Symbol",
-      "type": "string"
-    }
-  },
-  "required": [
-    "a",
-    "b",
-    "comparison",
-    "symbol",
-    "description",
-    "difference",
-    "absolute_difference",
-    "a_is_greater",
-    "a_is_less",
-    "are_equal"
-  ],
-  "title": "CompareResponse",
-  "type": "object"
-}
    • addedOutput schema / $defs / app__routers__math_utils__CompareResponse
      Added value: +{
+  "properties": {
+    "a": {
+      "title": "A",
+      "type": "number"
+    },
+    "a_is_greater": {
+      "title": "A Is Greater",
+      "type": "boolean"
+    },
+    "a_is_less": {
+      "title": "A Is Less",
+      "type": "boolean"
+    },
+    "absolute_difference": {
+      "title": "Absolute Difference",
+      "type": "number"
+    },
+    "are_equal": {
+      "title": "Are Equal",
+      "type": "boolean"
+    },
+    "b": {
+      "title": "B",
+      "type": "number"
+    },
+    "comparison": {
+      "title": "Comparison",
+      "type": "string"
+    },
+    "description": {
+      "title": "Description",
+      "type": "string"
+    },
+    "difference": {
+      "title": "Difference",
+      "type": "number"
+    },
+    "ratio": {
+      "anyOf": [
+        {
+          "type": "number"
+        },
+        {
+          "type": "null"
+        }
+      ],
+      "title": "Ratio"
+    },
+    "symbol": {
+      "title": "Symbol",
+      "type": "string"
+    }
+  },
+  "required": [
+    "a",
+    "b",
+    "comparison",
+    "symbol",
+    "description",
+    "difference",
+    "absolute_difference",
+    "a_is_greater",
+    "a_is_less",
+    "are_equal"
+  ],
+  "title": "CompareResponse",
+  "type": "object"
+}
    • changedOutput schema / x-fastmcp-top-level-schema
      Previous value: -"CompareResponse"New value: +"app__routers__math_utils__CompareResponse"
  6. Changed3 schema fields changed
    • addedOutput schema / $defs / CompareResponse
      Added value: +{
+  "properties": {
+    "a": {
+      "title": "A",
+      "type": "number"
+    },
+    "a_is_greater": {
+      "title": "A Is Greater",
+      "type": "boolean"
+    },
+    "a_is_less": {
+      "title": "A Is Less",
+      "type": "boolean"
+    },
+    "absolute_difference": {
+      "title": "Absolute Difference",
+      "type": "number"
+    },
+    "are_equal": {
+      "title": "Are Equal",
+      "type": "boolean"
+    },
+    "b": {
+      "title": "B",
+      "type": "number"
+    },
+    "comparison": {
+      "title": "Comparison",
+      "type": "string"
+    },
+    "description": {
+      "title": "Description",
+      "type": "string"
+    },
+    "difference": {
+      "title": "Difference",
+      "type": "number"
+    },
+    "ratio": {
+      "anyOf": [
+        {
+          "type": "number"
+        },
+        {
+          "type": "null"
+        }
+      ],
+      "title": "Ratio"
+    },
+    "symbol": {
+      "title": "Symbol",
+      "type": "string"
+    }
+  },
+  "required": [
+    "a",
+    "b",
+    "comparison",
+    "symbol",
+    "description",
+    "difference",
+    "absolute_difference",
+    "a_is_greater",
+    "a_is_less",
+    "are_equal"
+  ],
+  "title": "CompareResponse",
+  "type": "object"
+}
    • removedOutput schema / $defs / app__routers__math_utils__CompareResponse
      Removed value: -{
-  "properties": {
-    "a": {
-      "title": "A",
-      "type": "number"
-    },
-    "a_is_greater": {
-      "title": "A Is Greater",
-      "type": "boolean"
-    },
-    "a_is_less": {
-      "title": "A Is Less",
-      "type": "boolean"
-    },
-    "absolute_difference": {
-      "title": "Absolute Difference",
-      "type": "number"
-    },
-    "are_equal": {
-      "title": "Are Equal",
-      "type": "boolean"
-    },
-    "b": {
-      "title": "B",
-      "type": "number"
-    },
-    "comparison": {
-      "title": "Comparison",
-      "type": "string"
-    },
-    "description": {
-      "title": "Description",
-      "type": "string"
-    },
-    "difference": {
-      "title": "Difference",
-      "type": "number"
-    },
-    "ratio": {
-      "anyOf": [
-        {
-          "type": "number"
-        },
-        {
-          "type": "null"
-        }
-      ],
-      "title": "Ratio"
-    },
-    "symbol": {
-      "title": "Symbol",
-      "type": "string"
-    }
-  },
-  "required": [
-    "a",
-    "b",
-    "comparison",
-    "symbol",
-    "description",
-    "difference",
-    "absolute_difference",
-    "a_is_greater",
-    "a_is_less",
-    "are_equal"
-  ],
-  "title": "CompareResponse",
-  "type": "object"
-}
    • changedOutput schema / x-fastmcp-top-level-schema
      Previous value: -"app__routers__math_utils__CompareResponse"New value: +"CompareResponse"
  7. First observed

TDQS

B3.4/5.0
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full behavioral burden. The example usefully signals that decimal values are compared numerically rather than lexically, but it does not clarify result shape, edge cases, or comparison semantics beyond that hint; the output schema covers return values.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is a single front-loaded sentence with a compact, helpful example. There is no wasted text.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness3/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a simple two-number comparison tool with a complete input schema and an output schema, the description is mostly sufficient. However, given the presence of very similar siblings like compare_2 and compare_decimals, it omits context that would help an agent choose correctly.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters4/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100%, so the baseline would be 3, but the example adds meaningful semantics by showing that inputs may be decimal numbers and that the tool handles numeric comparison rather than string comparison. It does not explicitly map the parameters 'a' and 'b', but the two-number framing is clear.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states a specific verb and resource: 'Compare two numbers', with an example clarifying numeric/decimal comparison. It does not distinguish this tool from close siblings such as compare_2 or compare_decimals, which is a meaningful gap in a large toolset.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

There is no explicit guidance on when to use this tool versus alternatives like compare_2 or compare_decimals. The example hints that decimals are supported, but it does not tell the agent which comparison tool to select or when this one is preferred.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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