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Equation 1 · Part 5 · Comparing the Main Approaches to AI Accelerator Architecture

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Tachieved=Tpeak⋅Uhw⋅UcompilerT_{\mathrm{achieved}} = T_{\mathrm{peak}} \cdot U_{\mathrm{hw}} \cdot U_{\mathrm{compiler}}
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

It is tempting to compare these four families by a single number — peak operations per second, or operations per watt — and the rest of this article explains why that number, alone, is close to meaningless. A more useful decomposition separates what a device can theoretically do from what a piece of software actually gets it to do, and splits that gap into two distinct causes: Tachieved=Tpeak⋅Uhw⋅UcompilerT_{\mathrm{achieved}} = T_{\mathrm{peak}} \cdot U_{\mathrm{hw}} \cdot U_{\mathrm{compiler}}. Here TpeakT_{\mathrm{peak}} is the arithmetic identity fixed at design time, UhwU_{\mathrm{hw}} ∈\in (0,1] is the fraction of cycles the hardware keeps its arithmetic units genuinely busy on whatever workload is thrown at it, and UcompilerU_{\mathrm{compiler}} ∈\in (0,1] is the fraction of a program’s theoretically…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.