When the Shell is active, the Run menu is disabled, but its shortcuts are not.  These are F5 Run Module, Shift-F5 Run ... Custom, and Alt-X Check Module.  If Shell has not been saved, the shortcuts do nothing, but once Shell has been saved, they try to compile the entire shell session.

The result is that the '3' in 'Python 3.8 ...' on the first line is highlighted as an error and the SyntaxError box pops up.  When the box is dismissed, the cursor is placed after the '3'.

Instead of calling compile, IDLE should beep and continue.

Trying to compile grep output is also bad.  The ultimate fix is to subclass the specialized code editor from the general text editor, instead of vice versa as at present, but I leave that for later, and will simply check if the window about to be compiled is an instance of OutputWindow (which is also the PyShell superclass).

New changeset e3f90b217a5152275b180b466bd503658a734462 by Terry Jan Reedy in branch 'master':
bpo-38598: Do not try to compile IDLE shell or output windows (GH-16939)
https://github.com/python/cpython/commit/e3f90b217a5152275b180b466bd503658a734462

New changeset 849b1b9f6c538085839f8059e0d6a5536d2fdb52 by Miss Skeleton (bot) in branch '3.7':
bpo-38598: Do not try to compile IDLE shell or output windows (GH-16939)
https://github.com/python/cpython/commit/849b1b9f6c538085839f8059e0d6a5536d2fdb52

New changeset e3a477aa072a737d5119b0778d14d9f3ddb9f587 by Miss Skeleton (bot) in branch '3.8':
bpo-38598: Do not try to compile IDLE shell or output windows (GH-16939)
https://github.com/python/cpython/commit/e3a477aa072a737d5119b0778d14d9f3ddb9f587

As a better design for a long-term fix, I suggest:

* Avoiding isinstance() checks by instead using a dedicated class attribute and checking that. (I've recently used this pattern for line numbers.)
* Instead of baling out inside the "check module" and "run" handlers, don't include the related items in the menus in the first place. (Make them conditional on the above-mentioned class attribute's value.)