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Default counting entries within a cell's formula

I am interested in doing a count of entries within a cell. It would be
similar to a word count, but instead of counting words, I need to count the
plus signs (+) or something like that. I have a simple formula in the cell
like:

=100+1235+3456+0987+etc

and am only interested in determining how many entries are in there since
each number entry represents a program and I would like to know how many
programs are accounted for.

I've tried this variation on the word wount, but no success:

=IF(LEN(TRIM(B4))=0,0,LEN(TRIM(B4))-LEN(SUBSTITUTE(B4,CHAR(43)," "))+1)
 
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