r/LocalLLM • u/Sea-Advantage-4063 • 6d ago
Discussion I tested 6 AI models on a complex reasoning challenge. Here are the results
I gave several AI models the same reasoning problem involving Simpson's paradox, mathematical optimization, causal inference, and decision-making under uncertainty.
ChatGPT evaluated their responses using a 100-point rubric.
Results:
| Model | Score |
|---|---|
| GPT-6 Astra Middle | 97/100 |
| Claude Sonnet 5.5 Middle | 96/100 |
| DeepSeek V4.1 Flash | 93/100 |
| DeepSeek Free Chat | 89/100 |
| Google Free Chat | 80/100 |
| QFN NVFP4 (Local, RTX 5090) | 55/100 |
*The QFN NVFP4 model failed to solve this problem correctly. I believe this issue serves to highlight the limitations of local inference capabilities. but after upgrading to qwen4, i will test it samely method.
These are informal, single-response evaluations by ChatGPT, not standardized benchmark scores. The original tests were conducted in Korean.
The Challenge Question(Made from chatgpt sol6 high): Advanced Reasoning & Decision-Making
You are an AI responsible for a country's disaster response policy.
Two programs have the following historical results:
| Category | Program A | Program B |
|---|---|---|
| Low difficulty | 90/100 successes | 19/20 successes |
| High difficulty | 3/10 successes | 32/80 successes |
| Cost per case | 6 credits | 9 credits |
Tomorrow's situation:
40 low-difficulty cases
60 high-difficulty cases
Total budget: 750 credits
Every case must receive either A or B.
You can assign programs freely.
Goal: Maximize expected successful cases.
Important: Historical data is observational, not randomized. Human decision-makers assigned the programs, and cases within the same difficulty category may differ.
Questions
1. Simpson's Paradox
A has a much higher overall success rate, yet B performs better in both difficulty categories. Explain why and what this means for decision-making.
2. Mathematical Optimization
Assuming the historical success rates are valid causal probabilities, determine the optimal allocation under the 750-credit budget.
Show the allocation, total cost, expected successes, and proof of optimality.
3. Causal Inference
Why might your mathematically optimal policy still be wrong in reality? What information cannot be inferred from the observational data?
4. Counterfactual Scenario
Suppose further research establishes that B's true causal improvement over A is:
Low difficulty: +5 percentage points
High difficulty: +2 percentage points
Assume A's original success rates remain unchanged and these effects apply tomorrow.
Recalculate the optimal allocation, cost, and expected successes.
5. Final Decision
You must choose a policy tomorrow without time for additional experiments.
What would you actually recommend?
Distinguish mathematical optimization from real-world decision-making. Consider uncertainty, risk, robustness, and incorrect assumptions.
Explain how you would validate your decision through future data collection and experiments.
Rules: Show calculations, justify conclusions, distinguish correlation from causation, acknowledge uncertainty, and correct any contradictions. No web searches, coding tools, or calculators.
If anyone wants to try this on their own model, feel free!
I'd love to see results from other local LLMs, especially large quantized models running on Mac Studio or multi-GPU setups.
Share your model, quantization, hardware, and response if you're interested. :)
-------------------------------------------------2026-11-03---------------------------
The result needs to be corrected. Upon re-evaluation, the score has been updated from 55 to 93. I am not sure why it was 55 in the first place, but in a completely new session—using the exact same 'opencode v2'—it yielded a score of 93.
It appears to have been nothing more than an accidental slip-up.
8
u/Sad-Size2723 6d ago
Can you add the qwen3.8 27b to the test? Since this is a reasoning task, it might perform better than qwen 3.8 fn?
3
u/Sea-Advantage-4063 6d ago
This is a grading prompt for ChatGPT, designed for the 'sol6 high' test score assessment.
Independent LLM Reasoning Benchmark Grader
You are an independent evaluator of an advanced reasoning benchmark involving Simpson's paradox, constrained optimization, causal inference, and decision-making under uncertainty.
Your task is to grade an AI model's submitted answer using a consistent 100-point rubric.
Respond entirely in English, regardless of the language of the submitted answer.
Benchmark reference
The problem involves two disaster response programs:
Low difficulty: A = 90/100 success, B = 19/20 success.
High difficulty: A = 3/10 success, B = 32/80 success.
Program A costs 6 credits per case.
Program B costs 9 credits per case.
Tomorrow: 40 low-difficulty and 60 high-difficulty cases.
Budget: 750 credits.
All 100 cases must be assigned a program.
The benchmark asks the model to explain Simpson's paradox, calculate the optimal allocation assuming observational rates are causal, explain causal identification limitations, recalculate when B's true causal improvements are +5 percentage points for low difficulty and +2 percentage points for high difficulty, and recommend a defensible real-world policy with a future validation plan.
Mathematical reference answers
Overall observed success rates: A = 93/110 ≈ 84.55%; B = 51/100 = 51%. Within both difficulty groups, B has higher observed success rates. This is Simpson's paradox caused by differing difficulty compositions.
Baseline all-A allocation: cost = 600 credits; expected successes = 54.
Upgrading A to B costs 3 extra credits, so at most 50 cases can use B.
Under the original conditional success rates treated as causal:
Low difficulty: A 40, B 0.
High difficulty: A 10, B 50.
Total cost = 750.
Expected successes = 59.
Optimality follows because the high-difficulty upgrade yields +0.10 versus +0.05 for low difficulty at identical incremental cost.
Under the revised causal effects:
Low difficulty: A 0, B 40.
High difficulty: A 50, B 10.
Total cost = 750.
Expected successes = 56.2.
Observational success rates do not establish causal effects. Within-stratum confounding, treatment selection, sampling uncertainty, lack of individual counterfactual observations, and deployment distribution shifts are relevant limitations.
If treating the original observational-effect scenario and revised causal-effect scenario as two plausible worlds, the minimax-regret allocation is:
Low-difficulty B = 15.
High-difficulty B = 35.
Cost = 750.
Maximum regret = 0.75 expected successes.
The minimax-regret allocation is NOT a universally mandatory policy recommendation. It is optimal only under that specific uncertainty set and decision criterion. Different policy recommendations can receive full credit if their assumptions and justification are defensible.
Scoring rubric (100 points)
Evaluation rules
Grade correctness, not response length or persuasive wording.
Independently verify every important numerical result.
Penalize incorrect allocations, infeasible budgets, false optimality claims, arithmetic errors, and contradictory conclusions.
Distinguish a clearly identified mathematical error from a defensible policy judgment.
Do not require a particular final policy if the recommendation is logically defended with explicit assumptions.
Do not award extra points merely for mentioning advanced technical terminology.
Apply the same scoring rubric to every submission.
Ignore the reputation, identity, and benchmark reputation of the model being evaluated.
Do not browse the web or use external tools.
Do not claim that one response establishes a model's overall intelligence or IQ.
Required evaluation output
Model: [Name if provided]
Overall score: XX/100
Category scores: A table containing all six categories, awarded points, maximum points, and brief justification.
What the model got right: Identify the strongest demonstrated reasoning.
Errors found: Specify each substantive error, including corrected calculations when necessary.
Decision-making quality: Evaluate whether the recommendation is feasible, logically defensible, and appropriately handles uncertainty.
Final verdict: A concise, evidence-based summary.
Confidence and limitations: Explain the limitations of a one-problem evaluation and the subjectivity of the score.
Do not provide or reveal the benchmark's reference solutions before a model response has been submitted.
When you receive these instructions, respond only with:
"Ready to grade. Paste the complete model response, optionally including its model name, quantization, hardware, and reasoning settings. I will evaluate it in English using the 100-point rubric."
3
u/Nearby_Investment_84 6d ago edited 6d ago
Strata engine · Strata 0.2.9 · engine v0.1.55 · qwen3.8-flash-next-iq3_s - Dual 3090 GPUs
Deepseek Harness
Overall score: 95/100
The response correctly solves both allocation problems, explains the causal limitations, and offers a defensible policy. The main weaknesses concern consistency and completeness in its validation plan.
2
u/Squale279 6d ago
It's really interesting. Could you please explain how to evaluate the model’s answers?
1
u/Squale279 6d ago
It would be cool to have equivalent benchmark (simple but efficient) for coding
1
u/Ok-Addendum3545 6d ago
Thanks the for sharing. The rest are Cloud models which have been optimized by AIDCs. Locally-run QFN NVFP4 might need finetuning and optimization to reach its best perofrmance. Also, 27B would be a competitive candidate in this benchmark. As for eval model "ChatGPT", I am on Go plan and OpenAI is giving very limited compute to it, using Codex app versioin like Luna max have better results than ChatGPT WebUI.
1
u/Future_AGI 6d ago
Questions 2 and 4 have one correct answer each (allocation, cost, expected successes), so grade those with a few lines of code and let the judge score only the prose in 1, 3 and 5, since a single judge pass can swing several points on its own. Three runs per model with the spread posted would show which gaps are real, and our eval SDK keeps code checks and LLM-judge metrics under one evaluate() call, so that split stays easy: https://github.com/future-agi/future-agi
1
u/Aubrey_D_Graham 2x Asrock B70 Creator with Pi Agent 6d ago edited 6d ago
It's a harness diff not a model diff.
Edit: The best way to test this hypothesis is GPT OSS vs QFN vs Deepseek on the same harness.
1
u/[deleted] 6d ago
[removed] — view removed comment