Model comparison

Grok 3 vs Llama 13b

Grok 3 is the stronger model overall, scoring 39.9 to 24.4 on the Noometry Index.

Last verified . 9 shared benchmarks.

Grok 3 xAI

39.9

Rank #157 Confirmed

Llama 13b Meta

24.4

Rank #348 Confirmed

Summary

  • They share 9 benchmarks with published results for both. Grok 3 scores higher in 5 categories and Llama 13b in 1 category; 5 gaps are clear of the uncertainty.
  • The widest gap is in writing & preference, where Grok 3 leads 55.8 to 13.8.
  • Llama 13b has downloadable open weights; the other is API-only.

Side by side

Grok 3 and Llama 13b specifications
Grok 3Llama 13b
ProviderxAIMeta
Noometry Index39.924.4
Released2025-04-092023-02-24
WeightsProprietaryOpen
Context window——
Max output——
Input $ / M tokens——
Output $ / M tokens——
Results tracked4021

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Category by category

Coding Grok 3 leads

Grok 3: 41.9 (#115), Llama 13b: 21.4 (#337)

Coding benchmarks
BenchmarkGrok 3Llama 13b
LMArena Coding1432683
Aider Polyglot53.3%—
WeirdML37.2%—

Agentic & Tool Use Not comparable

Grok 3: 30.5 (#76), Llama 13b: —

Agentic & Tool Use benchmarks
BenchmarkGrok 3Llama 13b
BALROG29.5%—

Reasoning Too close to call

Grok 3: 13.7 (#333), Llama 13b: 14.0 (#329)

Reasoning benchmarks
BenchmarkGrok 3Llama 13b
LMArena Hard Prompts1434728
Epoch Capabilities Index138.33100.58
ARC-AGI-20%—
SimpleBench36.1%—
Kagi LLM Benchmark61.3%—
ARC-AGI-15.5%—
BIG-Bench Hard—37.9%
HellaSwag—79.2%
LAMBADA—75.2%
PIQA—80.1%
WinoGrande—73%

Math Grok 3 leads

Grok 3: 38.0 (#145), Llama 13b: 26.7 (#256)

Math benchmarks
BenchmarkGrok 3Llama 13b
LMArena Math1391838
OTIS Mock AIME 2024-202555.6%—
Omni-MATH46.4%—
MATH Level 588.7%—
FrontierMath (Feb 2025 set)3.8%—
FrontierMath Tier 4 (v1)0%—
GSM8K—20.6%

Knowledge Not comparable

Grok 3: 46.2 (#82), Llama 13b: —

Knowledge benchmarks
BenchmarkGrok 3Llama 13b
GPQA Diamond75.8%—
MMLU-Pro78.8%—
Confabulations14.2%—
Vectara Hallucination Rate5.8%—
GPQA (HELM)65%—
LMArena Expert1421—
ARC (AI2) Challenge—52.7%
BoolQ—78.7%
MMLU—47.7%
OpenBookQA—56.4%
TriviaQA—77.9%

Multimodal Not comparable

Grok 3: —, Llama 13b: —

Multimodal benchmarks
BenchmarkGrok 3Llama 13b
ScienceQA—43.3%

Multilingual Grok 3 leads

Grok 3: 52.3 (#87), Llama 13b: 16.6 (#297)

Multilingual benchmarks
BenchmarkGrok 3Llama 13b
LMArena Non-English1410819
LMArena Chinese1448—
LMArena French1460—
LMArena German1431—
LMArena Japanese1387—
LMArena Korean1373—
LMArena Russian1416—
LMArena Spanish1417—

Instruction Following Grok 3 leads

Grok 3: 75.0 (#73), Llama 13b: 36.7 (#305)

Instruction Following benchmarks
BenchmarkGrok 3Llama 13b
LMArena Instruction Following1409781
IFEval88.4%—

Long Context Not comparable

Grok 3: 38.7 (#192), Llama 13b: —

Long Context benchmarks
BenchmarkGrok 3Llama 13b
Fiction.LiveBench58.3%—
LMArena Longer Query1439—

Writing & Preference Grok 3 leads

Grok 3: 55.8 (#141), Llama 13b: 13.8 (#312)

Writing & Preference benchmarks
BenchmarkGrok 3Llama 13b
LMArena Text1426834
LMArena Creative Writing1414794
LMArena Multi-Turn1425753
Short-Story Creative Writing76.4%—
EQ-Bench Creative Writing1186—
WildBench84.9%—

Frequently asked questions

Is Grok 3 better than Llama 13b?

Grok 3 is the stronger model overall, scoring 39.9 to 24.4 on the Noometry Index.

Is Grok 3 or Llama 13b better for coding?

Grok 3 scores higher on coding benchmarks: 41.9 versus 21.4 in the Noometry coding category.

How many benchmarks do Grok 3 and Llama 13b share?

9 benchmarks have published results for both models. Grok 3 has 40 scored results on Noometry and Llama 13b has 21.

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