Model comparison

Grok 3 vs Llama 2-13B

Grok 3 is the stronger model overall, scoring 39.9 to 29.6 on the Noometry Index.

Last verified . 18 shared benchmarks.

Grok 3 xAI

39.9

Rank #157 Confirmed

Llama 2-13B Meta

29.6

Rank #309 Confirmed

Summary

  • They share 18 benchmarks with published results for both. Grok 3 scores higher in 8 categories and Llama 2-13B in 0 categories; 7 gaps are clear of the uncertainty.
  • The widest gap is in writing & preference, where Grok 3 leads 55.8 to 29.8.
  • Llama 2-13B has downloadable open weights; the other is API-only.

Side by side

Grok 3 and Llama 2-13B specifications
Grok 3Llama 2-13B
ProviderxAIMeta
Noometry Index39.929.6
Released2025-04-092023-07-18
WeightsProprietaryOpen
Context window——
Max output——
Input $ / M tokens——
Output $ / M tokens——
Results tracked4032

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Category by category

Coding Grok 3 leads

Grok 3: 41.9 (#115), Llama 2-13B: 30.9 (#291)

Coding benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Coding14321062
Aider Polyglot53.3%—
WeirdML37.2%—

Agentic & Tool Use Not comparable

Grok 3: 30.5 (#76), Llama 2-13B: —

Agentic & Tool Use benchmarks
BenchmarkGrok 3Llama 2-13B
BALROG29.5%—

Reasoning Too close to call

Grok 3: 13.7 (#333), Llama 2-13B: 12.8 (#337)

Reasoning benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Hard Prompts14341051
Epoch Capabilities Index138.33106.17
ARC-AGI-20%—
SimpleBench36.1%—
Kagi LLM Benchmark61.3%—
ARC-AGI-15.5%—
Chess Puzzles—0%
DTBench—42.2%
BIG-Bench Hard—58.2%
HellaSwag—80.7%
LAMBADA—76.5%
PIQA—80.8%
WinoGrande—72.8%

Math Grok 3 leads

Grok 3: 38.0 (#145), Llama 2-13B: 31.1 (#229)

Math benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Math13911065
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—36.9%

Knowledge Grok 3 leads

Grok 3: 46.2 (#82), Llama 2-13B: 28.1 (#249)

Knowledge benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Expert14211030
GPQA Diamond75.8%—
MMLU-Pro78.8%—
Confabulations14.2%—
Vectara Hallucination Rate5.8%—
GPQA (HELM)65%—
ARC (AI2) Challenge—60.3%
BoolQ—82.4%
MMLU—55.6%
OpenBookQA—57%
TriviaQA—79.6%

Multimodal Not comparable

Grok 3: —, Llama 2-13B: —

Multimodal benchmarks
BenchmarkGrok 3Llama 2-13B
ScienceQA—55.8%

Multilingual Grok 3 leads

Grok 3: 52.3 (#87), Llama 2-13B: 26.5 (#279)

Multilingual benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Non-English14101024
LMArena Chinese14481001
LMArena French14601044
LMArena German14311009
LMArena Japanese1387894
LMArena Korean1373953
LMArena Russian14161055
LMArena Spanish14171087

Instruction Following Grok 3 leads

Grok 3: 75.0 (#73), Llama 2-13B: 53.3 (#287)

Instruction Following benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Instruction Following14091045
IFEval88.4%—

Long Context Grok 3 leads

Grok 3: 38.7 (#192), Llama 2-13B: 32.3 (#269)

Long Context benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Longer Query14391064
Fiction.LiveBench58.3%—

Writing & Preference Grok 3 leads

Grok 3: 55.8 (#141), Llama 2-13B: 29.8 (#289)

Writing & Preference benchmarks
BenchmarkGrok 3Llama 2-13B
LMArena Text14261084
LMArena Creative Writing14141047
LMArena Multi-Turn14251050
Short-Story Creative Writing76.4%—
EQ-Bench Creative Writing1186—
WildBench84.9%—

Frequently asked questions

Is Grok 3 better than Llama 2-13B?

Grok 3 is the stronger model overall, scoring 39.9 to 29.6 on the Noometry Index.

Is Grok 3 or Llama 2-13B better for coding?

Grok 3 scores higher on coding benchmarks: 41.9 versus 30.9 in the Noometry coding category.

How many benchmarks do Grok 3 and Llama 2-13B share?

18 benchmarks have published results for both models. Grok 3 has 40 scored results on Noometry and Llama 2-13B has 32.

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