# Grok 4.5 vs Llama 13b

> Grok 4.5 is the stronger model overall, scoring 55.0 to 23.9 on the Noometry Index.

- Canonical page: https://noometry.com/compare/grok-4-5-vs-llama-13b
- Last updated: 2026-10-10
- Shared benchmarks: 9

## Summary

- They share 9 benchmarks with published results for both. Grok 4.5 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 Grok 4.5 leads 65.9 to 13.9.
- Llama 13b has downloadable open weights; the other is API-only.

## Snapshot

| | Grok 4.5 | Llama 13b |
|---|---|---|
| Provider | xAI | Meta |
| Noometry Index | 55.0 | 23.9 |
| Rank | 22 | 344 |
| Context | 500K | — |
| Input $/M | $2 | — |
| Output $/M | $6 | — |
| Weights | Proprietary | Open |

## Coding

- Grok 4.5: 51.7 (#34)
- Llama 13b: 20.9 (#332)

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Coding | 1473 | 683 |
| DeepSWE | 53.8% | — |
| FrontierCode | 42.4% | — |
| LMArena WebDev | 1552 | — |
| SciCode | 54.1% | — |
| WeirdML | 46.4% | — |
| ALE-Bench | 1,309 | — |

## Agentic & Tool Use

- Grok 4.5: 44.4 (#15)
- Llama 13b: —

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| APEX-Agents | 56.2% | — |
| τ²-bench Banking | 47.9% | — |
| PostTrainBench | 23.4% | — |
| GBAEval | 65.4% | — |
| GDP.pdf | 14% | — |
| LMArena Search | 1213 | — |
| Vending-Bench 2 | 3,887 | — |

## Reasoning

- Grok 4.5: 56.0 (#23)
- Llama 13b: 13.4 (#327)

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Hard Prompts | 1462 | 728 |
| Epoch Capabilities Index | 154.02 | 100.09 |
| ARC-AGI-2 | 52.6% | — |
| SimpleBench | 70% | — |
| Kagi LLM Benchmark | 83.5% | — |
| NYT Connections (extended) | 79.9% | — |
| ARC-AGI-1 | 87.2% | — |
| CritPt | 15.4% | — |
| Chess Puzzles | 36% | — |
| DTBench | 96.5% | — |
| LMCA | 45.2% | — |
| Surface Evolver Bench | 74.4% | — |
| BIG-Bench Hard | — | 37.9% |
| HellaSwag | — | 79.2% |
| LAMBADA | — | 75.2% |
| PIQA | — | 80.1% |
| WinoGrande | — | 73% |

## Math

- Grok 4.5: 60.7 (#29)
- Llama 13b: 24.4 (#259)

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Math | 1457 | 838 |
| FrontierMath (Tiers 1-3) | 57.2% | — |
| FrontierMath Tier 4 | 24.4% | — |
| OTIS Mock AIME 2024-2025 | 97.8% | — |
| ProofBench | 31% | — |
| GSM8K | — | 20.6% |

## Knowledge

- Grok 4.5: 62.3 (#21)
- Llama 13b: —

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| GPQA Diamond | 93.4% | — |
| SimpleQA Verified | 48.3% | — |
| LMArena Expert | 1466 | — |
| ARC (AI2) Challenge | — | 52.7% |
| BoolQ | — | 78.7% |
| MMLU | — | 47.7% |
| OpenBookQA | — | 56.4% |
| TriviaQA | — | 77.9% |

## Multimodal

- Grok 4.5: 37.8 (#63)
- Llama 13b: —

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Vision | 1287 | — |
| Blueprint-Bench 2 | 27.3% | — |
| Furniture Assembly | 22.5% | — |
| LMArena Document | 1452 | — |
| ScienceQA | — | 43.3% |

## Multilingual

- Grok 4.5: 54.5 (#43)
- Llama 13b: 16.8 (#292)

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Non-English | 1439 | 819 |
| LMArena Chinese | 1497 | — |
| LMArena French | 1458 | — |
| LMArena German | 1448 | — |
| LMArena Japanese | 1425 | — |
| LMArena Korean | 1402 | — |
| LMArena Russian | 1447 | — |
| LMArena Spanish | 1452 | — |

## Instruction Following

- Grok 4.5: 76.3 (#45)
- Llama 13b: 36.9 (#300)

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Instruction Following | 1446 | 781 |

## Long Context

- Grok 4.5: 44.8 (#54)
- Llama 13b: —

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Longer Query | 1463 | — |

## Writing & Preference

- Grok 4.5: 65.9 (#40)
- Llama 13b: 13.9 (#307)

| Benchmark | Grok 4.5 | Llama 13b |
|---|---|---|
| LMArena Text | 1448 | 834 |
| LMArena Creative Writing | 1442 | 794 |
| LMArena Multi-Turn | 1457 | 753 |
| EQ-Bench Creative Writing | 1579 | — |

## FAQ

### Is Grok 4.5 better than Llama 13b?

Grok 4.5 is the stronger model overall, scoring 55.0 to 23.9 on the Noometry Index.

### Is Grok 4.5 or Llama 13b better for coding?

Grok 4.5 scores higher on coding benchmarks: 51.7 versus 20.9 in the Noometry coding category.

### How many benchmarks do Grok 4.5 and Llama 13b share?

9 benchmarks have published results for both models. Grok 4.5 has 52 scored results on Noometry and Llama 13b has 21.