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I am currently studying the roofline model. Wikipedia [2] shows the following example graph:

Roofline Model

The diagonal line shows $\beta * I$. But I do not understand why this line does not go through the zero point. If $I = 0$ so should $\beta * I = 0$. What am I misunderstanding here?

[2] https://en.wikipedia.org/wiki/Roofline_model

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  • $\begingroup$ Are you positive there is a zero point? The lines would appear to be at $1/8$. $\endgroup$
    – greybeard
    Feb 12, 2021 at 17:42

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The axes are in logarithmic scale, and so don't really have a zero point. What you are seeing is $$ \log P = \min(\log I + \log \beta, \log \pi). $$ The striking part is that the slope of the line is always the same.

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