SETTLEMENT TELEMETRY

Inference Log

MID: gtfFTYFPCMm93quM

Log MIDgtfFTYFPCMm93quM
Typechat_completion
Aliasdeepseek-v4-flash-g1 / grUORIPWk0XTl4W7
Hostinforaxi-server:3300:v1.1.3736-1-gf63106d5c
Mode / Protoreq-v1-chatcmplopenai-chatcmpl
Vendor/LLMtokease/deepseek-v4-flash/yd
Statussuccess
User Pricing
30 × 0.75 = 0.000023
0 × 0.015 = 0.000000
300 × 1.5 = 0.000450
CNY 0.000472
Vendor Cost
30 × 0.69034 = 0.000021
0 × 0.013802 = 0.000000
300 × 1.380211 = 0.000414
CNY 0.000435
Latency10.18149298s
Summary
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  "history_count": 1,
  "user_summary": {
    "text": "请详细回答以下问题:解释什么是递归,并举例说明。请展开论述,分点说明,条理清晰。",
    "has_image": false,
    "has_tool_result": false
  },
  "assistant_summary": {
    "text": "递归(Recursion)是计算机科学和数学中的一个核心概念,其本质是**“函数或过程直接或间接地调用自身”**。递归不是简单的重复,而是通过**将大问题分解为结构相同、规模更小的子问题**来求解。\n\n下面我将从定义、核心要素、执行原理、经典例子、优缺点以及应用场景六个方面展开详细论述。\n\n---\n",
    "tool_calls": [],
    "stop_reason": "length"
  }
}
Stop Reasonlength
Vendor Request
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URL: https://tokease.cn/v1/chat/completions

Headers:
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  "authorization": "Bearer sk-oRd5RE9JhT1bDLQ3lOZgdkESeCuowucrcNX16gZEgHecnxmu",
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Body:
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  "messages": [
    {
      "content": "请详细回答以下问题:解释什么是递归,并举例说明。请展开论述,分点说明,条理清晰。",
      "role": "user"
    }
  ],
  "model": "deepseek-v4-flash/yd"
}
Vendor Response
Headers:
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  "content-type": "application/json",
  "date": "Sun, 30 Aug 2026 13:26:06 GMT",
  "req-arrive-time": "1788096366056",
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Body:
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  "choices": [
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      "message": {
        "role": "assistant",
        "content": "递归(Recursion)是计算机科学和数学中的一个核心概念,其本质是**“函数或过程直接或间接地调用自身”**。递归不是简单的重复,而是通过**将大问题分解为结构相同、规模更小的子问题**来求解。\n\n下面我将从定义、核心要素、执行原理、经典例子、优缺点以及应用场景六个方面展开详细论述。\n\n---\n\n### 一、递归的定义与核心思想\n\n**定义**:  \n递归是指在一个函数的定义中,直接或间接地调用该函数自身。  \n其数学基础是**数学归纳法**——即假设小规模问题已解决,利用该解构造大规模问题的解。\n\n**核心思想**:  \n> “递”是传递,即把问题逐步拆小;  \n> “归”是回归,即当子问题小到可以直接解决(达到**基准情形**)时,再逐层返回答案,最后综合得到原问题的解。\n\n---\n\n### 二、递归必须满足的三大要素\n\n1. **基准情形(Base Case)**  \n   - 必须有一个或多个最简单的、不需要递归就能直接求解的情况。  \n   - 这是递归的“出口”,否则会无限递归导致栈溢出(Stack Overflow)。\n\n2. **递归步骤(Recursive Step)**  \n   - 将当前问题转化为一个或多个规模更小的同构子问题。  \n   - 每次递归调用时,问题的规模必须朝着基准情形",
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Token Usage
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Fixes
User Request
Method: POST

URL: /v1/chat/completions

Headers:
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Body:
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    {
      "role": "user",
      "content": "请详细回答以下问题:解释什么是递归,并举例说明。请展开论述,分点说明,条理清晰。"
    }
  ],
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}
User Response
Body:
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    {
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      "message": {
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        "content": "递归(Recursion)是计算机科学和数学中的一个核心概念,其本质是**“函数或过程直接或间接地调用自身”**。递归不是简单的重复,而是通过**将大问题分解为结构相同、规模更小的子问题**来求解。\n\n下面我将从定义、核心要素、执行原理、经典例子、优缺点以及应用场景六个方面展开详细论述。\n\n---\n\n### 一、递归的定义与核心思想\n\n**定义**:  \n递归是指在一个函数的定义中,直接或间接地调用该函数自身。  \n其数学基础是**数学归纳法**——即假设小规模问题已解决,利用该解构造大规模问题的解。\n\n**核心思想**:  \n> “递”是传递,即把问题逐步拆小;  \n> “归”是回归,即当子问题小到可以直接解决(达到**基准情形**)时,再逐层返回答案,最后综合得到原问题的解。\n\n---\n\n### 二、递归必须满足的三大要素\n\n1. **基准情形(Base Case)**  \n   - 必须有一个或多个最简单的、不需要递归就能直接求解的情况。  \n   - 这是递归的“出口”,否则会无限递归导致栈溢出(Stack Overflow)。\n\n2. **递归步骤(Recursive Step)**  \n   - 将当前问题转化为一个或多个规模更小的同构子问题。  \n   - 每次递归调用时,问题的规模必须朝着基准情形",
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Created At8/30/2026, 9:26:05 PM