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How to execute a String code in the form of StandardForm?

I want to get execution results for strings of various forms. For this, I used ToExpression.

case1 = ToExpression["(1/2)^3"]
case2 = ToExpression["\!\(\*SuperscriptBox[FractionBox[\(1\), \(2\)], \(3\)]\)"]
case3 = ToExpression["(\!\(\*FractionBox[\(1\), \(2\)]\)\!\(\*SuperscriptBox[\()\), \\(3\)]\)"]

enter image description here

As a result of execution, Case 3 did not get the result I wanted. How can I solve it?

Here's a GIF showing how 3rd string is created:

gif

As we can see, once the pair of " is added, the size of () becomes a bit weird.

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  • $\begingroup$ Looks like a bug of front-end. The pair of () isn't in a RowBox in 3rd case. If the string is obtained with e.g. ToString[(1/2)^3 // Unevaluated, StandardForm], ToExpression will handle it properly, though. $\endgroup$
    – xzczd ♦
    Commented Nov 15, 2023 at 4:38
  • $\begingroup$ I think it's better to report it to WRI: wolfram.com/support/contact/?topic=feedback $\endgroup$
    – xzczd ♦
    Commented Nov 15, 2023 at 4:54
  • $\begingroup$ Thank you for your answer. You see this as a bug? I've tested it in v11.3~13.3, but it shows the same symptoms. It's a problem that's been happening since the old version! $\endgroup$
    – Milk
    Commented Nov 15, 2023 at 5:04
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    $\begingroup$ Yes, personally I think it's a bug. And it seems to be broken from the beginning (modern front-end is introduced in v3): i.sstatic.net/k5EBi.png $\endgroup$
    – xzczd ♦
    Commented Nov 15, 2023 at 5:21
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    $\begingroup$ @xzczd, oooh, I see it now, sorry. I retract my previous comment (: However, in my opinion, it should be noted that the bug is in this automatic conversion to the wrong box structure after wrapping in ". Perhaps this gif could be included in the question/bug report. $\endgroup$
    – Domen
    Commented Nov 15, 2023 at 14:39

1 Answer 1

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You can do:

"(\!\(\*FractionBox[\(1\), \(2\)]\)\!\(\*SuperscriptBox[\()\), \(3\)]\)" // 
  FrontEnd`ReparseBoxStructurePacket // FrontEndExecute // ToExpression
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  • $\begingroup$ Oh I even upvoted some of those ReparseBoxStructurePacket answers but didn't notice the function is so powerful… Of course +1. $\endgroup$
    – xzczd ♦
    Commented Nov 15, 2023 at 11:01
  • $\begingroup$ @xzczd maybe it is, maybe it is not, worked this time :) $\endgroup$
    – Kuba
    Commented Nov 15, 2023 at 13:54

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