fix(langfuse): avoid double-counting cache and reasoning tokens in usage#108
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Langfuse sums all keys containing "input" for Input usage and "output" for Output usage. Since inputTokens/outputTokens already included cache/reasoning tokens, they were double-counted. Now input/output report only their non-overlapping portion, and total is omitted so Langfuse derives it correctly by summing all keys.
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Summary
usageDetailskeys containinginputfor "Input usage" andoutputfor "Output usage". Sinceinputalready included cache tokens andoutputalready included reasoning tokens, they were being double-counted in the UI breakdown.inputnow reportsinputTokens - cacheReadTokens - cacheWriteTokens(non-cached portion only)outputnow reportsoutputTokens - reasoningTokens(non-reasoning portion only)totalkey — Langfuse derives it correctly by summing all keysTest plan