Thursday, May 8, 2025

How to Quantify Scalability

How to Quantify Scalability: Synopsis of The Universal Scalability Law (USL), has just been posted in PDF format for improved readability. I did this post haste so, reporting any typos, broken links, etc., is always appreciated.

Tuesday, May 6, 2025

Performance Ponderings Updated

Just updated my "Performance Ponderings" page. It covers my performance analysis papers published over the past 35 yrs. 😳 You may be thinking: Who cares about performance analysis cases that is that dated?

Amazingly, performance analysis (done right) is often not technology-dependent, per se. The right abstraction can remain invariant into perpetuity. For example, my 2025 analysis of the GPT Efficient Computer Frontier (ref. 8 in paper 1) is based partly on my 1989 analysis of virtual memory thrashing in paper 53. Same paradigm; vastly different context.

The connection between the two papers is by no means obvious but, quite striking (not to mention satisfying) when you realize it.

Saturday, April 26, 2025

Solving a Functional Equation with Functional Programming

Functional equation question seen on Twitter:
This is my general solution, computed in Mathematica: a functional programming language. Scroll through the PDF for details.