docs(prometheus): document managed batch and CheckBatchCost metrics

[devin-ai-integration]

Summary

The managed batch / file lifecycle metrics and the CheckBatchCost poller metrics shipped in BerriAI/litellm#24691 (merged Mar 27, 2026), but they were never documented, so users asking for batch observability (BerriAI/litellm#35136) had no way to discover them.

Adds a "Managed Batch and File Metrics" section to docs/proxy/prometheus.md covering litellm_managed_batch_created_total, litellm_managed_file_created_total, litellm_managed_file_deleted_total, litellm_managed_file_size_bytes, litellm_managed_batch_duration_seconds, plus the poller health metrics litellm_check_batch_cost_last_run_timestamp, litellm_check_batch_cost_jobs_polled, litellm_check_batch_cost_jobs_processed_total and litellm_check_batch_cost_errors_total.

Label sets and enum values were read off the emitting code rather than the original PR body, so error_type is documented as the six values _record_error actually passes (invalid_model_id, invalid_unified_id, unmanaged_no_matching_deployment, deployment_not_found, provider_retrieval_error, cost_tracking_error), and file_type as input (upload, from managed_files.py) / output (batch output file, from check_batch_cost.py)

Validated with npm run build; no new warnings, and the ./managed_batches link resolves

Link to Devin session: https://app.devin.ai/sessions/84b2e8e5de3b47f6a1f01dc34ffca2f0

[devin-ai-integration]

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Project	Deployment	Actions	Updated (UTC)
litellm	Ready	Preview	Jul 29, 2026 10:11pm