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Equation 8 · Part 1 · The Deployment Envelope: Small Models Where the Power Is Not

Symbol T_tok

Ttok≥WBT_{\mathrm{tok}} \ge \frac{W}{B}
TtokT_{\mathrm{tok}}

What this part means

TtT_tok is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

TtT_tok is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Autoregressive decoding sits at the far left of that graph. Generating one token requires reading essentially every weight and the accumulated key-value cache once, and performing roughly two arithmetic operations per parameter. At one byte per weight the intensity is about two operations per byte; at four bits per weight, about four. Pope and colleagues formalised this partitioning problem for large transformers and showed how latency, throughput and cost trade off under different sharding strategies, with generation and prefill behaving as different regimes [ 3 ] . The bound that matters on a device follows immediately: if W bytes of weights and cache must cross the memory bus for each…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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