@Carl Love As you noted, the help page for plots:-display doesn't mention that it can handle a bare sequence of plots.  I have verified that there are tests in place to verify that, so it should be relatively safe to use.  Note that you can intersperse the plots with options.  For example

(plots:-display)('axes=boxed', plot(sin), 'title'="Sine and Cosine",  plot(cos));

The call to int is raising

Error, (in int/ellalg/hermite) unexpected square free base 17*_z^2+6*_z*2^(1/2)-2*_z+5+2*2^(1/2)

If the code is modified to call int again, the second call will occasionally run for as long as I care to wait, but other times will succeed in a few seconds.

The mw file is badly formatted.  If you export it as an mpl file (Maple Input Format), the third arguments (eta) in the last two function calls do not exist.  Am guessing there is a weird character in the input.

No file was attached to the question.

I see you've corrected that.

@C_R Just to check, I restored the use of the default page in my Maple 2023, then restarted my linux machine and launched standard Maple.  Didn't notice any obvious slowness when dealing with the default opening page. 

@jalal To remove the two inner circles, add option grid=[0,13].

@C_R I'm not familar with int, but some of the internal procedures, called here, have option cache. While I don't expect that to matter when an error occurs, it's possible that a value could be saved and then later reused without having to attempt the computation that raises an error.  Would have to look closer.

A  problem is the omitted multiplication signs. You should use

   v1 := sin(c)*sin(a)*(a-b);
   v2 := sin(c1)*sin(a1)*(-a+b)
 

@nicolesharp100 Interesting idea (tagging).

@Vector For me, the calls FindLonLat returned nothing.  On debugging them, the record returned by a call to JSON:-ParseFile contains:

error_message = "You must use an API key to authenticate each request to Google Maps Platform APIs. For additional information, please refer to http://g.co/dev/maps-no-account",

Please upload the msim file.  Use the green-uparrow at this site when responding.

I don't understand.  What do you mean by "proper form"?

@emendes It isn't needed here because coefmodel is also an argument of CleanExpr, that is, coefmodel is passed to CleanExpr in the call to Grid:-Seq.  It would be possible to remove it as an argument, then you would have to use Grid:-Set to make it known to the various kernels. 

@Carl Love I could not recall the Statistics:-Tally function and searching for it was hopeless---best I could think of was the more or less equivalent StringTools:-CharacterFrequencies, but the usage is all wrong.  Was hesistant to extend to other than symbols because am not sure about the interpretation of, say, [a, -a].