Is there a general verb that can reshape any noun with 1s in its shape so
that the axes with 1s disappear? I know that most often changing
calculations slightly can eliminate the 1s before they arise, but not
always.

For example if $a == 4 1 4 3, is there a verb that will
make generalize the result like how ,"_2]1|: does in this case?
$,"_2]1|:a   ==  4 4 3

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(B=)
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