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advanced_reasoning

Tackle advanced mathematical, algorithmic, and scientific reasoning tasks with rigorous methodology and optimal algorithms. Delivers enterprise-grade solutions for complex proofs, performance optimization, and data structure challenges.

Instructions

Consult GLM-4.6 for advanced mathematical, algorithmic, and scientific reasoning tasks. Delivers world-class innovative solutions with rigorous methodology, optimal algorithms, and enterprise-grade quality. Use for: complex algorithms, mathematical proofs, performance optimization, advanced data structures, computational problems, scientific analysis. Response optimized for Claude 4.5 Sonnet with XML structure.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
taskYesThe specific mathematical, algorithmic, or scientific task requiring advanced reasoning
contextYesComprehensive context including: problem domain, constraints, requirements, current approach (if any), performance requirements, business logic
expected_outcomeYesDetailed description of expected outcome: solution characteristics, performance targets, quality metrics, innovation requirements

Implementation Reference

  • The advancedReasoning method on GLMClient class. Builds an enhanced XML-structured prompt for advanced mathematical, algorithmic, and scientific reasoning, calls the GLM-4.6 API, and wraps the response using formatForClaude.
      async advancedReasoning(task: string, context: string, expectedOutcome: string): Promise<string> {
        const enhancedPrompt = `<task_specification>
    You are an elite computational mathematician and algorithm architect. Your mission is to deliver world-class innovative solutions using rigorous scientific methodology.
    </task_specification>
    
    <problem_context>
    ${context}
    </problem_context>
    
    <primary_task>
    ${task}
    </primary_task>
    
    <expected_outcome>
    ${expectedOutcome}
    </expected_outcome>
    
    <execution_requirements>
    1. MATHEMATICAL RIGOR: Apply formal mathematical proofs, complexity analysis, and theoretical foundations
    2. ALGORITHMIC EXCELLENCE: Design optimal algorithms with detailed time/space complexity analysis
    3. INNOVATION: Present breakthrough approaches beyond conventional solutions
    4. ENTERPRISE QUALITY: Ensure production-grade implementation readiness
    5. PERFORMANCE OPTIMIZATION: Focus on maximum efficiency and scalability
    6. SCIENTIFIC METHOD: Use data-driven analysis with quantitative reasoning
    </execution_requirements>
    
    <response_structure>
    Structure your response using XML tags for Claude 4.5 Sonnet:
    
    <analysis>
    - Problem decomposition
    - Mathematical formulation
    - Complexity analysis
    - Constraint identification
    </analysis>
    
    <solution_design>
    - Core algorithm/approach
    - Innovation highlights
    - Optimization strategies
    - Scalability considerations
    </solution_design>
    
    <implementation_blueprint>
    - Pseudocode with annotations
    - Key implementation patterns
    - Performance characteristics
    - Edge case handling
    </implementation_blueprint>
    
    <validation_strategy>
    - Correctness proofs
    - Test scenarios
    - Benchmark expectations
    - Quality metrics
    </validation_strategy>
    
    <production_guidance>
    - Integration recommendations
    - Monitoring strategies
    - Maintenance considerations
    - Documentation requirements
    </production_guidance>
    </response_structure>
    
    <quality_standards>
    - Target: Top 1% industry solutions
    - Approach: Research-grade rigor
    - Output: Enterprise production-ready
    - Innovation: Breakthrough-level thinking
    </quality_standards>
    
    Deliver a comprehensive, scientifically rigorous solution that represents the pinnacle of computational thinking and software engineering excellence.`;
    
        const messages: GLMMessage[] = [
          { role: 'user', content: enhancedPrompt },
        ];
    
        const request: GLMRequest = {
          model: this.model,
          messages,
          temperature: 0.8, // Higher for innovation
          top_p: 0.95,
          max_tokens: 8192, // Extended for comprehensive analysis
          stream: false,
        };
    
        try {
          const response = await this.client.post<GLMResponse>('/chat/completions', request);
          
          if (!response.data.choices || response.data.choices.length === 0) {
            throw new Error('GLM-4.6 returned empty response');
          }
    
          const rawContent = response.data.choices[0].message.content;
          return this.formatForClaude(rawContent, 'advanced_reasoning');
        } catch (error) {
          if (axios.isAxiosError(error)) {
            const status = error.response?.status;
            const message = error.response?.data?.error?.message || error.message;
            throw new Error(`GLM-4.6 API Error (${status}): ${message}`);
          }
          throw error;
        }
      }
  • src/index.ts:97-118 (registration)
    Registration of the 'advanced_reasoning' tool in the tools array with its name, description, and inputSchema (requiring 'task', 'context', 'expected_outcome').
    {
      name: 'advanced_reasoning',
      description: 'Consult GLM-4.6 for advanced mathematical, algorithmic, and scientific reasoning tasks. Delivers world-class innovative solutions with rigorous methodology, optimal algorithms, and enterprise-grade quality. Use for: complex algorithms, mathematical proofs, performance optimization, advanced data structures, computational problems, scientific analysis. Response optimized for Claude 4.5 Sonnet with XML structure.',
      inputSchema: {
        type: 'object',
        properties: {
          task: {
            type: 'string',
            description: 'The specific mathematical, algorithmic, or scientific task requiring advanced reasoning',
          },
          context: {
            type: 'string',
            description: 'Comprehensive context including: problem domain, constraints, requirements, current approach (if any), performance requirements, business logic',
          },
          expected_outcome: {
            type: 'string',
            description: 'Detailed description of expected outcome: solution characteristics, performance targets, quality metrics, innovation requirements',
          },
        },
        required: ['task', 'context', 'expected_outcome'],
      },
    },
  • The request handler case for 'advanced_reasoning' in the CallToolRequestSchema handler. Extracts task, context, expected_outcome from args, calls glmClient.advancedReasoning(), and returns the response.
    case 'advanced_reasoning': {
      const { task, context, expected_outcome } = args as {
        task: string;
        context: string;
        expected_outcome: string;
      };
      const response = await glmClient.advancedReasoning(task, context, expected_outcome);
      return {
        content: [
          {
            type: 'text',
            text: response,
          },
        ],
      };
    }
  • The formatForClaude helper method that wraps raw GLM API content in an XML structure, used by advancedReasoning to tag the response with type 'advanced_reasoning'.
      private formatForClaude(content: string, taskType: string): string {
        return `<glm_response type="${taskType}">
    <analysis>
    ${content}
    </analysis>
    
    <implementation_guidance>
    This response has been optimized for Claude 4.5 Sonnet with:
    - Structured XML format for easy parsing
    - Clear separation of concepts
    - Actionable implementation steps
    - Enterprise-grade quality standards
    </implementation_guidance>
    </glm_response>`;
      }
  • Input schema for advanced_reasoning tool: object with required string properties 'task', 'context', and 'expected_outcome'.
    inputSchema: {
      type: 'object',
      properties: {
        task: {
          type: 'string',
          description: 'The specific mathematical, algorithmic, or scientific task requiring advanced reasoning',
        },
        context: {
          type: 'string',
          description: 'Comprehensive context including: problem domain, constraints, requirements, current approach (if any), performance requirements, business logic',
        },
        expected_outcome: {
          type: 'string',
          description: 'Detailed description of expected outcome: solution characteristics, performance targets, quality metrics, innovation requirements',
        },
      },
      required: ['task', 'context', 'expected_outcome'],
    },
Behavior4/5

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

With no annotations provided, the description carries the full burden. It discloses that the tool consults GLM-4.6, delivers rigorous methodology, and outputs XML structure optimized for Claude 4.5 Sonnet. This goes beyond basic purpose and gives useful behavioral insight.

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 extremely concise, consisting of two sentences that front-load the core purpose and key use cases. Every phrase adds value with no redundancy.

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

Completeness4/5

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

Given three required parameters and no output schema, the description covers the tool's purpose, use cases, and even hints at the output format. It is mostly complete but could elaborate on limitations or error handling.

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

Parameters3/5

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

The input schema has 100% parameter description coverage, so the schema already documents each parameter adequately. The description does not add new parameter-level detail beyond the schema, meeting the baseline expectation.

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

Purpose5/5

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

The description clearly identifies the tool for advanced mathematical, algorithmic, and scientific reasoning tasks. It lists specific use cases such as complex algorithms, mathematical proofs, and performance optimization. This effectively differentiates it from sibling tools focused on architecture and code analysis.

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

Usage Guidelines4/5

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

The description explicitly lists when to use the tool by enumerating domains and tasks. However, it does not provide explicit guidance on when not to use it or mention alternative tools, though the sibling context implies boundaries.

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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