PriceIndex

AI model capabilities

AI models that support log probabilities

Compare models that expose token-level log probabilities for evaluation and analysis. Compare 125 supporting models by input price, output price, context window and published intelligence. Find the cheapest option for a reference text workload, then check the serving API before you build.

125 supporting models20 AI providersUSD · prices per 1M tokens

Lowest reference cost

Llama 3.1 8B Instruct

$0.03

1M input + 250K output tokens. Tool fees and discounts excluded.

Highest published intelligence

Grok 4.7

46.4 AA Intelligence Index

Among supporting models with a published score; not a capability-specific benchmark.

Cheapest AI models with log probabilities

Ranked by the cost of 1 million input and 250,000 output tokens at standard rates. A different token mix can change the cheapest model. Support requires an explicitly listed catalog feature, not an inference from a model family.

Input /1M
$0.03
Output /1M
$0.08
Reference cost
$0.05
Context
1M
AA Intelligence
41.8
Input /1M
$0.03
Output /1M
$0.13
Reference cost
$0.06
Context
131K
AA Intelligence
9
Input /1M
$0.03
Output /1M
$0.13
Reference cost
$0.06
Context
1M
AA Intelligence
—
Input /1M
$0.05
Output /1M
$0.10
Reference cost
$0.08
Context
131K
AA Intelligence
4.8

Showing 15 of 125

125 matching models · Missing intelligence scores are shown as —.

What is log probabilities?

Log probabilities describe how likely generated tokens were under a model’s distribution. They can help with controlled classification experiments and response analysis, but they are not calibrated probabilities that an answer is correct. Availability and the number of alternative tokens returned vary by API.

Before choosing a model

  • Check whether top-token alternatives and your desired output format are supported.
  • Evaluate calibration before using scores to make business decisions.
  • Do not treat token likelihood as factual confidence.

Estimate your actual workload

Use your request volume and prompt and response sizes to compare monthly text-token costs. Add any search, external tool or provider-specific charges separately. Standard token prices do not assume cache hits or batch discounts.

Log probabilities FAQs

125 active models with positive input and output prices currently list log probabilities in the PriceIndex catalog. The table lists every match. A model is included only when its tracked feature data explicitly lists this capability; missing data is not treated as support.

Llama 3.1 8B Instruct has the lowest estimated text-token cost in this list for 1 million input tokens and 250,000 output tokens: $0.0300. A different input/output mix can change the ranking. This excludes tool fees, caching, discounts and taxes.

No. Capability availability can differ between serving APIs and model versions. Follow a model’s API documentation link and verify the exact version, endpoint and settings before choosing it.

We use standard USD input and output token prices: input price × 1 million tokens plus output price × 250,000 tokens, divided by 1 million. The directory excludes retired models, missing prices and zero-priced entries. Published AA Intelligence Index scores are shown when available and never estimated.

Check whether top-token alternatives and your desired output format are supported. Evaluate calibration before using scores to make business decisions. Do not treat token likelihood as factual confidence.

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