Prompt Engineering / Chain-of-Thought

Find the shortest valid reasoning chain for a problem — reduces tokens while maintaining accuracy.
Difficulty: Advanced
Model: GPT-4 / Claude / Gemini
Use Case: Cost Optimization, Latency Reduction, Efficient Reasoning
Updated: May 2026
Why This Prompt Exists
Chain-of-thought is powerful but expensive. Many reasoning chains are longer than necessary — adding tokens, latency, and cost without improving accuracy.

You get:

  • reasoning chains with redundant or unnecessary steps
  • paying for tokens that don’t improve the answer
  • slower responses from overly verbose reasoning
  • context window filled with fluff instead of useful reasoning
  • no systematic way to find the minimal effective chain

But minimal chains have properties:

  • necessary steps: cannot be removed without breaking correctness
  • redundant steps: can be removed with no impact
  • compressible steps: can be stated more concisely
  • parallelizable steps: can be reordered or combined
  • implicit steps: don’t need to be stated (model can infer)

Without optimization, you waste tokens.

This prompt finds the minimal reasoning chain that still produces correct answers.

The Prompt
Assume the role of a reasoning efficiency engineer who compresses reasoning chains.

Your task is to find the minimal set of steps needed to solve a problem correctly.

Generate:

1. ORIGINAL REASONING CHAIN
   - All steps as originally written

2. STEP NECESSITY ANALYSIS

| Step | Content | Necessary? (Yes/No) | Why |
|------|---------|---------------------|-----|
| 1 | [step] | Yes/No | [reason] |
| 2 | [step] | Yes/No | [reason] |
| ... | ... | ... | ... |

3. REDUNDANT STEPS (can be removed)
   - List with rationale

4. COMPRESSIBLE STEPS (can be shortened)
   - Original vs. compressed version

5. MINIMAL REASONING CHAIN
   - Only necessary steps, each stated concisely

6. VALIDATION
   - Does the minimal chain still produce the correct answer? (Yes/No — test required)
   - Token savings: [X] tokens saved ([Y]% reduction)
   - Accuracy risk: (Low / Medium / High)

7. DEPLOYMENT RECOMMENDATION
   - Use minimal chain for production (if low risk)
   - Keep original for complex cases
   - Test on edge cases before deploying

INPUTS:

Original reasoning chain (full):
[PASTE THE REASONING WITH STEPS]

Problem type:
[ARITHMETIC / LOGIC / COMMON SENSE / PLANNING / OTHER]

Correct answer (for validation):
[THE KNOWN CORRECT ANSWER]

Model:
[GPT-4 / CLAUDE / GEMINI]

RULES:
- A step is necessary if removing it changes the answer or breaks the reasoning
- A step is redundant if the model can infer it without explicit statement
- Compressed steps must preserve meaning (no shortcuts that change the logic)
- Test the minimal chain before deploying (some necessary steps are not obvious)
- Flag if minimal chain reduces accuracy for edge cases
How To Use It
  • Run this on reasoning chains that will be used at high volume — token savings add up fast.
  • Test the minimal chain on at least 10 edge cases before deploying.
  • Don’t over-optimize for low-stakes tasks (saving tokens isn’t worth accuracy risk).
  • Save the minimal chain as a template for similar problems.
  • Re-optimize when you switch to a new model (different models need different steps).
Example Input

Original reasoning chain:
“Step 1: The problem asks for 15% of 280. Step 2: 15% means 15 per 100. Step 3: So 15% of 280 equals (15/100) × 280. Step 4: 15/100 simplifies to 0.15. Step 5: 0.15 × 280 = (0.15 × 200) + (0.15 × 80). Step 6: 0.15 × 200 = 30. Step 7: 0.15 × 80 = 12. Step 8: 30 + 12 = 42. Step 9: Therefore, 15% of 280 is 42.”

Problem type:
“ARITHMETIC”

Correct answer:
“42”

Why It Works
Most reasoning chains are written for clarity — which is good for learning — but inefficient for production.

This framework improves outcomes by forcing:

  • step necessity analysis (what actually matters)
  • redundancy identification (what can be removed)
  • step compression (what can be shortened)
  • validation testing (does it still work?)
  • token savings calculation (quantified benefit)

Great minimal step optimization doesn’t sacrifice accuracy — it removes waste while preserving correctness.

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See also  CoT Verification Loop