# GPT-5.6 Luna vs Llama 13b

> GPT-5.6 Luna is the stronger model overall, scoring 54.6 to 24.4 on the Noometry Index.

- Canonical page: https://noometry.com/compare/gpt-5-6-luna-vs-llama-13b
- Last updated: 2026-10-10
- Shared benchmarks: 9

## Summary

- They share 9 benchmarks with published results for both. GPT-5.6 Luna scores higher in 6 categories and Llama 13b in 0 categories; 6 gaps are clear of the uncertainty.
- The widest gap is in writing & preference, where GPT-5.6 Luna leads 68.0 to 13.8.
- Llama 13b has downloadable open weights; the other is API-only.

## Snapshot

| | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| Provider | OpenAI | Meta |
| Noometry Index | 54.6 | 24.4 |
| Rank | 30 | 348 |
| Context | 1.05M | — |
| Input $/M | $0.20 | — |
| Output $/M | $1.20 | — |
| Weights | Proprietary | Open |

## Coding

- GPT-5.6 Luna: 54.5 (#28)
- Llama 13b: 21.4 (#337)

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Coding | 1466 | 683 |
| DeepSWE | 67.2% | — |
| FrontierCode | 39.8% | — |
| CursorBench | 35.9% | — |
| LMArena WebDev | 1519 | — |
| SciCode | 53.6% | — |
| WeirdML | 60.9% | — |
| ALE-Bench | 1,667 | — |

## Agentic & Tool Use

- GPT-5.6 Luna: 34.4 (#45)
- Llama 13b: —

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| APEX-Agents | 43% | — |
| BALROG | 45.6% | — |
| GDP.pdf | 22.7% | — |
| Vending-Bench 2 | 4,095 | — |

## Reasoning

- GPT-5.6 Luna: 47.6 (#43)
- Llama 13b: 14.0 (#329)

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Hard Prompts | 1451 | 728 |
| Epoch Capabilities Index | 156.39 | 100.58 |
| ARC-AGI-2 | 59.5% | — |
| SimpleBench | 46.8% | — |
| Kagi LLM Benchmark | 49.1% | — |
| NYT Connections (extended) | 69.4% | — |
| ARC-AGI-1 | 88% | — |
| CritPt | 20.6% | — |
| Chess Puzzles | 40% | — |
| Mystery Game Puzzles | 21% | — |
| DTBench | 89.1% | — |
| LMCA | 48.5% | — |
| Surface Evolver Bench | 61.9% | — |
| BIG-Bench Hard | — | 37.9% |
| HellaSwag | — | 79.2% |
| LAMBADA | — | 75.2% |
| PIQA | — | 80.1% |
| WinoGrande | — | 73% |

## Math

- GPT-5.6 Luna: 77.7 (#14)
- Llama 13b: 26.7 (#256)

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Math | 1458 | 838 |
| FrontierMath (Tiers 1-3) | 82.1% | — |
| FrontierMath Tier 4 | 61% | — |
| OTIS Mock AIME 2024-2025 | 98.3% | — |
| ProofBench | 60% | — |
| GSM8K | — | 20.6% |

## Knowledge

- GPT-5.6 Luna: 58.5 (#34)
- Llama 13b: —

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| GPQA Diamond | 91.6% | — |
| SimpleQA Verified | 41% | — |
| LMArena Expert | 1478 | — |
| ARC (AI2) Challenge | — | 52.7% |
| BoolQ | — | 78.7% |
| MMLU | — | 47.7% |
| OpenBookQA | — | 56.4% |
| TriviaQA | — | 77.9% |

## Multimodal

- GPT-5.6 Luna: 42.7 (#28)
- Llama 13b: —

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Vision | 1258 | — |
| Blueprint-Bench 2 | 22.6% | — |
| Furniture Assembly | 42.5% | — |
| LMArena Document | 1457 | — |
| ScienceQA | — | 43.3% |

## Multilingual

- GPT-5.6 Luna: 52.8 (#78)
- Llama 13b: 16.6 (#297)

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Non-English | 1417 | 819 |
| LMArena Chinese | 1470 | — |
| LMArena French | 1456 | — |
| LMArena German | 1454 | — |
| LMArena Japanese | 1411 | — |
| LMArena Korean | 1415 | — |
| LMArena Russian | 1428 | — |
| LMArena Spanish | 1448 | — |

## Instruction Following

- GPT-5.6 Luna: 75.6 (#57)
- Llama 13b: 36.7 (#305)

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Instruction Following | 1437 | 781 |

## Long Context

- GPT-5.6 Luna: 43.9 (#82)
- Llama 13b: —

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Longer Query | 1436 | — |

## Writing & Preference

- GPT-5.6 Luna: 68.0 (#29)
- Llama 13b: 13.8 (#312)

| Benchmark | GPT-5.6 Luna | Llama 13b |
|---|---|---|
| LMArena Text | 1431 | 834 |
| LMArena Creative Writing | 1396 | 794 |
| LMArena Multi-Turn | 1434 | 753 |
| EQ-Bench Creative Writing | 1829 | — |
| EQ-Bench 4 | 1156 | — |

## FAQ

### Is GPT-5.6 Luna better than Llama 13b?

GPT-5.6 Luna is the stronger model overall, scoring 54.6 to 24.4 on the Noometry Index.

### Is GPT-5.6 Luna or Llama 13b better for coding?

GPT-5.6 Luna scores higher on coding benchmarks: 54.5 versus 21.4 in the Noometry coding category.

### How many benchmarks do GPT-5.6 Luna and Llama 13b share?

9 benchmarks have published results for both models. GPT-5.6 Luna has 52 scored results on Noometry and Llama 13b has 21.