Noometry

Model comparison

Gemma 3 4B vs Grok-2 (Dec 2024)

Grok-2 (Dec 2024) is the stronger model overall, scoring 33.7 to 28.1 on the Noometry Index.

Last verified . 16 shared benchmarks.

Gemma 3 4B Google

28.1

Rank #326 Confirmed

Grok-2 (Dec 2024) xAI

33.7

Rank #239 Confirmed

Summary

  • They share 16 benchmarks with published results for both. Gemma 3 4B scores higher in 1 category and Grok-2 (Dec 2024) in 7 categories; 6 gaps are clear of the uncertainty.
  • The widest gap is in knowledge, where Grok-2 (Dec 2024) leads 29.8 to 11.8.
  • The biggest single-benchmark swing is GPQA Diamond: 23.2% for Gemma 3 4B and 53.8% for Grok-2 (Dec 2024).
  • Gemma 3 4B has downloadable open weights; the other is API-only.

Side by side

Gemma 3 4BGrok-2 (Dec 2024)
ProviderGooglexAI
Noometry Index28.133.7
Released2025-03-122024-08-13
WeightsOpenProprietary
Context window131K—
Max output4K—
Input $ / M tokens$0.04—
Output $ / M tokens$0.08—
Results tracked2234

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Category by category

Coding Gemma 3 4B leads

Gemma 3 4B: 35.9 (#215), Grok-2 (Dec 2024): 33.3 (#258)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
LMArena Coding12301287
WeirdML—22.2%
LiveBench Coding—46.4%

Agentic & Tool Use Not comparable

Gemma 3 4B: 20.9 (#142), Grok-2 (Dec 2024): —

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
Berkeley Function Calling Leaderboard19.6%—

Reasoning Grok-2 (Dec 2024) leads

Gemma 3 4B: 13.2 (#335), Grok-2 (Dec 2024): 16.9 (#299)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
LMArena Hard Prompts12531272
DTBench50.9%65.2%
Epoch Capabilities Index116.02130.48
SimpleBench—22.7%
Kagi LLM Benchmark25.2%—
Chess Puzzles0%—
LiveBench Reasoning—54.8%
LiveBench Data Analysis—54.5%
LMCA2.8%—
LiveBench—54.3%

Math Grok-2 (Dec 2024) leads

Gemma 3 4B: 16.8 (#292), Grok-2 (Dec 2024): 20.8 (#284)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
OTIS Mock AIME 2024-20257.5%11.5%
LMArena Math12391283
LiveBench Math—54.9%
MATH Level 5—63.5%
FrontierMath (Feb 2025 set)—0.7%

Knowledge Grok-2 (Dec 2024) leads

Gemma 3 4B: 11.8 (#299), Grok-2 (Dec 2024): 29.8 (#233)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
GPQA Diamond23.2%53.8%
LMArena Expert12231254
Confabulations—20.1%
Vectara Hallucination Rate6.4%—

Multilingual Too close to call

Gemma 3 4B: 42.5 (#194), Grok-2 (Dec 2024): 43.1 (#188)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
LMArena Non-English12731282
LMArena German12811287
LMArena Russian12941286
LMArena Chinese—1289
LMArena French—1318
LMArena Japanese—1244
LMArena Korean—1237
LMArena Spanish—1281

Instruction Following Grok-2 (Dec 2024) leads

Gemma 3 4B: 65.2 (#225), Grok-2 (Dec 2024): 66.9 (#202)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
LMArena Instruction Following12391270
LiveBench Instruction Following—69.6%

Long Context Too close to call

Gemma 3 4B: 38.7 (#194), Grok-2 (Dec 2024): 38.8 (#190)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
LMArena Longer Query12731276

Writing & Preference Grok-2 (Dec 2024) leads

Gemma 3 4B: 42.0 (#239), Grok-2 (Dec 2024): 48.6 (#198)

BenchmarkGemma 3 4BGrok-2 (Dec 2024)
LMArena Text12911305
LMArena Creative Writing12711284
LMArena Multi-Turn12551290
Short-Story Creative Writing—63.6%
EQ-Bench Creative Writing1068—
LiveBench Language—45.6%

Frequently asked questions

Is Gemma 3 4B better than Grok-2 (Dec 2024)?

Grok-2 (Dec 2024) is the stronger model overall, scoring 33.7 to 28.1 on the Noometry Index.

Is Gemma 3 4B or Grok-2 (Dec 2024) better for coding?

Gemma 3 4B scores higher on coding benchmarks: 35.9 versus 33.3 in the Noometry coding category.

How many benchmarks do Gemma 3 4B and Grok-2 (Dec 2024) share?

16 benchmarks have published results for both models. Gemma 3 4B has 22 scored results on Noometry and Grok-2 (Dec 2024) has 34.

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