Chain-of-Thought Prompting

Best Practices for Complex Reasoning

SuNaAI Lab

Technical Guide Series

ResourcesTechnical GuidesChain-of-Thought Prompting

Chapter 1: The Power of Step-by-Step Reasoning

Discover how to unlock complex reasoning in LLMs through Chain-of-Thought prompting

Chain-of-Thought (CoT) prompting is one of the most powerful techniques for eliciting complex reasoning from language models. Instead of asking for a final answer directly, you guide the model to show its "thinking process" step-by-step, leading to more accurate and reliable results.

Why Chain-of-Thought Works

Research shows that CoT prompting can improve accuracy on complex tasks by up to 40%. By breaking down problems into intermediate steps, LLMs can tackle reasoning tasks that would otherwise be too difficult.

Key Benefits

๐ŸŽฏ Improved Accuracy

CoT leads to significantly higher accuracy on complex reasoning tasks like arithmetic, logical inference, and symbolic manipulation.

๐Ÿ” Interpretability

You can see the model's reasoning process, making it easier to debug, trust, and verify results.

๐Ÿ“ˆ Scalable to Complex Tasks

CoT scales to problems that would be too difficult to solve in a single step.

๐Ÿง  Better Calibration

By exposing intermediate reasoning, you get better confidence calibration and can identify uncertain steps.

Chapter 2: Understanding Chain-of-Thought

A clear breakdown of what Chain-of-Thought prompting means and how it works

Chain-of-Thought (CoT) prompting is a technique that encourages language models to produce a sequence of intermediate reasoning steps leading to the final answer. Instead of jumping directly to a conclusion, the model first explains its thinking process.

Comparison: Standard vs Chain-of-Thought
โŒ STANDARD PROMPT:
"Q: A coffee shop sells 3 types of coffee. They sold 
120 cups total. Type A is $3, Type B is $4, Type C is $5. 
If Type B sold 2x more than Type A, and Type C sold equal 
to Type A, how much revenue?
A: $420"

โœ… CHAIN-OF-THOUGHT PROMPT:
"Q: A coffee shop sells 3 types of coffee. They sold 
120 cups total. Type A is $3, Type B is $4, Type C is $5. 
If Type B sold 2x more than Type A, and Type C sold equal 
to Type A, how much revenue? Let's think step by step.

A: Let me solve this step by step.

Step 1: Define variables
- Let A = cups of Type A sold
- B = cups of Type B sold  
- C = cups of Type C sold

Step 2: Write equations
- A + B + C = 120 (total cups)
- B = 2A (Type B sold 2x Type A)
- C = A (Type C equal to Type A)

Step 3: Solve for A
A + 2A + A = 120
4A = 120
A = 30

Step 4: Solve for B and C
B = 2(30) = 60
C = 30

Step 5: Calculate revenue
Type A: 30 ร— $3 = $90
Type B: 60 ร— $4 = $240
Type C: 30 ร— $5 = $150
Total: $90 + $240 + $150 = $420

Final Answer: $420"

Core Principles

1

Decompose Complex Problems: Break down multi-step problems into smaller, manageable intermediate steps

2

Show Your Work: Explicitly show each reasoning step rather than skipping to conclusions

3

Use Natural Language: Express reasoning in clear, natural language that humans can understand and verify

4

Validate Each Step: Check intermediate results before proceeding to ensure the reasoning chain is sound

Chapter 3: When to Use Chain-of-Thought

Understanding which tasks benefit most from CoT prompting

Not all tasks require Chain-of-Thought prompting. Understanding when to use itโ€”and when not toโ€” is crucial for effective prompt engineering. Here's a practical guide.

Use CoT When:

  • Problem requires multiple reasoning steps
  • Accuracy is critical and verification is needed
  • You need to debug model reasoning
  • Task involves arithmetic, logic, or symbolic manipulation
  • You want to improve model confidence calibration

Avoid CoT When:

  • Problem is simple or trivial (unnecessary overhead)
  • Speed is critical and latency matters
  • You need very short, concise outputs
  • Problem is purely factual or retrieval-based
  • Single-step reasoning is sufficient

Task Categories for CoT

๐Ÿงฎ Mathematical Reasoning

Word problems, algebra, calculus, multi-step arithmetic. CoT excels at these because the intermediate steps are clearly defined.

๐Ÿงฉ Logical Reasoning

Puzzles, logical inference, constraint satisfaction. CoT helps track logical premises and conclusions systematically.

๐Ÿ“Š Data Analysis

Multi-step analysis, statistical reasoning, trend identification. Break down complex analytical tasks into discrete steps.

๐Ÿ”ฌ Scientific Reasoning

Hypothesis testing, causal reasoning, experimental design. CoT helps structure scientific thinking processes.

Chapter 4: Chain-of-Thought Techniques

Practical techniques for implementing effective CoT prompts

Technique 1: Zero-Shot CoT

Simply add "Let's think step by step" or similar phrases to your prompt. This is the simplest form of CoT that works surprisingly well.

Zero-Shot CoT Example
Question: If a train travels 60 miles in 1 hour, and another 
train travels 90 miles in 2 hours, which train is faster and 
by how much?

Let's think step by step:

Train 1: 60 miles / 1 hour = 60 mph
Train 2: 90 miles / 2 hours = 45 mph

Difference: 60 - 45 = 15 mph

Answer: Train 1 is faster by 15 mph

Technique 2: Few-Shot CoT

Provide examples of CoT reasoning to teach the model the desired format. This is more reliable than zero-shot and works well for consistent formatting.

Few-Shot CoT Example
Example 1:
Q: There are 15 trees in the park. Workers planted more trees 
today, and there are now 27 trees. How many trees were planted?
A: Let me calculate:
- Start: 15 trees
- End: 27 trees
- Difference: 27 - 15 = 12
Answer: 12 trees

Example 2:
Q: A library has 120 books. They bought 45 new books and donated 
30 old books. How many books now?
A: Let me calculate step by step:
Step 1: Start with 120 books
Step 2: Add 45 new books: 120 + 45 = 165
Step 3: Remove 30 books: 165 - 30 = 135
Answer: 135 books

Now solve:
Q: There are 8 students in a class. 3 joined and 1 left. 
How many students are there now?

Technique 3: Self-Consistency

Generate multiple reasoning paths and take the most frequent answer. This dramatically improves accuracy by reducing reasoning errors.

Self-Consistency Algorithm

  1. Generate multiple CoT reasoning paths (e.g., 5-10)
  2. Extract final answers from each path
  3. Select the answer that appears most frequently
  4. This leverages the "wisdom of the crowd" approach

Chapter 5: Best Practices

Proven strategies for effective Chain-of-Thought prompting

1. Be Explicit About Steps

Clearly indicate what each step is doing. Use labels like "Step 1:", "First:", "Now:", or numbered lists to make reasoning transparent.

2. Validate Intermediate Results

Check intermediate calculations before proceeding. This catches errors early and prevents cascading mistakes.

3. Use Natural Language

Express reasoning in clear, conversational language. Avoid overly formal or robotic phrasing. Natural explanations are easier to verify.

4. Keep Steps Reasonable

Don't break down every tiny calculation. Find the right balance between granularity and efficiency. Each step should be a meaningful unit of reasoning.

5. Show Confidence

Indicate when steps are uncertain or when assumptions are being made. This provides better transparency and helps users understand model limitations.

Chapter 6: Common Mistakes to Avoid

โŒ Over-Complicating Simple Tasks

Using CoT for trivial problems wastes tokens and increases latency without benefits.

โŒ Vague Step Labels

Using unclear labels like "do this" instead of "calculate the total" makes reasoning hard to follow.

โŒ Skipping Validation

Not checking intermediate results leads to cascading errors that could have been caught early.

โŒ Ignoring the Answer

Failing to clearly state the final answer makes it hard to extract the result programmatically.

Chapter 7: Advanced Techniques

Tree of Thoughts (ToT)

Generate multiple reasoning paths and evaluate them before choosing the best path. This is like exploring a search tree of possible solutions.

Constitutional AI

Use CoT to help models follow principles and constraints. Break down rules into reasoning steps that ensure compliance.

Verification Chains

After generating an answer via CoT, have the model verify its own reasoning. This significantly reduces errors.