Formula and accounting assumptions
Total batch gas equals shared overhead plus call count × incremental gas per call. Standalone gas is call count × gas per standalone transaction. Multiply gas by effective gas price in gwei, convert with 10^-9 native tokens per gwei and multiply by native-token USD price. If standalone gas exceeds incremental batch gas, the non-loss count is ceil(overhead ÷ per-call gas difference), with a minimum of one call.
Worked hypothetical example
Consider 100 gas units of shared overhead, ten gas per batched call and 30 gas per standalone operation. Ten calls consume 200 batch gas versus 300 standalone gas, saving 100. The gas break-even count is ceil(100 ÷ 20), or five calls. At one gwei and a $1 native-token price, the ten-call batch costs $0.0000002. These deliberately small numbers isolate the formula; they are not estimates for any deployed transaction type or chain.
Interpret the scenarios and limits
Use gas estimates for equivalent operations and include the transaction overhead consistently. Batching can change revert behavior, approvals, authorization and execution paths, so a failed batch may have different economics. The model excludes additional L1 data fees, blob fees, relayer markups and tips not already inside the effective gas price. If incremental batch gas is no lower than standalone gas, a positive shared overhead cannot create savings at larger sizes. Equal allocation is a bookkeeping choice, not a required billing rule.