AI Dictionary of Terms

Reasoning Model

A class of AI models specifically designed and trained to perform multi-step logical reasoning, mathematical problem-solving, and complex analysis by explicitly generating intermediate reasoning steps before producing a final answer.

The Simple Version

Imagine two students taking a difficult math test. The first student reads each problem and immediately writes down the first answer that comes to mind — fast, but error-prone on hard problems.

The second student reads the problem, then works through it step-by-step on scratch paper: “First, I need to identify the variables. Then, I’ll set up the equation. Let me check if this approach works… No, let me try a different method…” Only after working through the reasoning do they write the final answer.

Reasoning models are like the second student. They “think out loud,” generating detailed reasoning traces before committing to an answer. This makes them dramatically better at math, coding, science, and other tasks requiring deep logical thinking — but also slower and more expensive.

Detailed Explanation

Reasoning models represent a paradigm shift from “fast pattern matching” to “deliberate reasoning.” They emerged prominently with OpenAI’s o1 (September 2024) and have since been adopted by other providers.

How They Differ from Standard LLMs:

Aspect Standard LLM (GPT-4, Claude) Reasoning Model (o1, o3)
Response Style Direct answer Extended reasoning + answer
Speed Seconds 10-100 seconds
Cost Lower 10-100x higher
Math Performance Good Excellent
Coding Performance Good Excellent
Best For General tasks Complex reasoning

Training Approach:

  1. Reinforcement Learning: Trained using RL to optimize for reasoning quality, not just next-token prediction
  2. Process Reward Models: Reward good reasoning steps, not just correct final answers
  3. Scale RL: Massive compute investment to develop reasoning capabilities
  4. Curriculum Learning: Progress from simple to complex reasoning tasks

Key Capabilities:

Trade-offs:

Key Characteristics

Business Context

Reasoning models create new strategic options but require careful cost management:

When to Use Reasoning Models:

When Standard LLMs Are Better:

Enterprise Strategy:

Cost Example:

Real-World Analogy

Hiring a consultant vs. an intern. An intern (standard LLM) handles routine tasks quickly and cheaply. A consultant (reasoning model) takes longer and costs more, but can solve complex problems that stump the intern. You wouldn’t hire a consultant to format a spreadsheet, but you would hire one to design your company’s 5-year strategy.

Code Example

# Comparing standard LLM vs reasoning model
from openai import OpenAI

client = OpenAI()

# Complex math problem
problem = """
A company has 3 factories producing widgets:
- Factory A: 100 widgets/day, 95% quality
- Factory B: 150 widgets/day, 92% quality  
- Factory C: 200 widgets/day, 88% quality

If the company needs 1000 high-quality widgets (quality >= 90%) 
in minimum time, how should they allocate production?
"""

# Standard LLM - fast but may be suboptimal
standard = client.chat.completions.create(
    model="gpt-4",
    messages=[{"role": "user", "content": problem}]
)
print("Standard LLM:", standard.choices[0].message.content[:200])

# Reasoning Model - slower but more accurate
reasoning = client.chat.completions.create(
    model="o1",
    messages=[{"role": "user", "content": problem}]
)
print("Reasoning Model:", reasoning.choices[0].message.content[:200])
# The reasoning model will show its step-by-step work

Common Misconceptions

Sources & Further Reading