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Equation 10 · Part 7 · How AI Accelerator Architecture Actually Works

subtraction

T≈(r+c−2)+L,T \approx (r + c - 2) + L,
subtraction

What this part means

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

Its job in the formula

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

The passage around this formula

Consider an idealised r ×\times c array holding one operand stationary, with a second operand streamed through in a sequence of length L — for instance, L activation vectors passed through a weight-stationary array of r input rows and c output columns. Before the first result emerges, the data has to propagate across the array’s diagonal, costing roughly r + c - 2 cycles; after the last input enters, the same number of cycles is needed to drain the pipeline. Total latency is therefore approximately T≈(r+c−2)+LT \approx (r + c - 2) + L. while the useful work performed is r ⋅\cdot c ⋅\cdot L multiply-accumulates — one per cell, once per streamed step, in steady state. Dividing useful work by the total cell-cycles…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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