To put it very simplistically, from mostly a practical view:
abs: cannot be differentiated around 0; has multiple minima; the error space has sharp ridges
power 4: way too sensitive to noise
power 3: var(x+y) != var(x) + var(y)
I use Claude Code at work via AWS bedrock, also personally subscribe to the $20/month Claude. Anecdotallt, Sonnet hasn't slowed down at all. ChatGPT 5 through enterprise plan, on the other hand, has noticeably slowed down or sometimes just not return anything.
Sure, they work in that huge codebase, but for any specific task, the number of lines your team keeps in their short/long term memory is surely much much smaller than that.
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