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GPT-5.6 Luna vs Grok 4.5

GPT-5.6 Luna is 6.7× cheaper for typical traffic ; Grok 4.5 scores higher on the Artificial Analysis intelligence index (38.8 vs 37.3).

Prices checked Oct 21, 2026

GPT-5.6 LunaGrok 4.5
DeveloperOpenAIxAI
Input / 1M tokens$0.20$2.00
Output / 1M tokens$1.20$6.00
Cached input / 1M$0.02$0.30
Context window1.05M500K
Max output128K450K
Intelligence index37.338.8
Image inputYesYes
Tool callingYesYes
Reasoning modeYesYes
Open weightsNoNo

Monthly cost for common workloads

WorkloadGPT-5.6 LunaGrok 4.5
Customer chatbot
1,000 conversations a day, 8 turns each
$134 $857
Document Q&A (RAG)
500 questions a day over retrieved documents
$25.38 $210
Coding / tool-using agent
200 tasks a day, long tool-heavy contexts
$52.20 $405
Content generation
30 long articles a day
$3.24 $18.90
Classification / extraction
100,000 short items a day
$234 $2,070

Estimates include cached-input discounts where a model offers them. Try your own numbers in the cost calculator.

Which one to choose