Is there any docs about HPA benchmark?

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Cluster information:

Kubernetes version: v1.25.0
Cloud being used: (put bare-metal if not on a public cloud) bare-metal
Installation method: kind
Host OS: Ubuntu20.04
CNI and version: none
CRI and version: none

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I want to ask if there are any docs showing the benchmark of HPA.
For example:

  1. If there are 1k/10k/20k pods, how fast is it for scaling up/down?
  2. How much the memory/CPU will be cost for HPA calculation if there are 1k/10k/20k pods?
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