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On current master, calling methodswith compiles a new specialization for each type being checked, which easily runs into the hundreds of specializations, completely unnecessarily.
This PR adds a bunch of nospecialize statements to methodswith to reduce latency significantly - by about a factor of 7 on my laptop.
Improves #43468 quite significantly - though might not completely solve it. On my computer,
methodswith(String)
takes about 450 ms on Julia 1.0, and 485 ms with this PR, compared to 3.5-5.5 seconds on Julia 1.8.2.