Slightly different approach by converting over and back from integers and doing 
some arithmetic

     |.@:(+ (+/ @: (1 _1 * 40 41 =/ ]))) &. (3&u:) '1 + (2 * 3) + (4 * (5 + 6))'
((6 + 5) * 4) + (3 * 2) + 1

Cheers, bob

> On Dec 18, 2020, at 12:12, 'Michael Day' via Programming 
> <programm...@jsoftware.com> wrote:
> 
> Yes, I ended up indexing brackets with    I. '()' =/ y ,  assuming that the 
> left & right brackets
> were balanced!
> 
> Part 2 was long-winded, recursive,  but evaluated quickly, luckily.
> 
> My slowest routine for any of these posers is for part 2 of Day 15; best I 
> managed was
> ~ 40 seconds.
> 
> Cheers,
> 
> Mike
> 
> On 18/12/2020 19:50, Joseph Novakovich wrote:
>> For part 1 I used pretty much the same approach, eval by way of
>> reversing (|.&.;:):
>> 
>>    +/ {{".'('c}')'o}y['o c'=. I. 0 1=/'()'i.y=.|.&.;:y}}&> in
>> 
>> Mine differs mostly in avoiding library definitions, amending parens
>> by index. For part 2 I used ;: to calculate a depth vector for the
>> tokens and then I evaluate the deepest nested subexpressions at each
>> iteration reaching fixpoint.
>> 
>> https://github.com/jitwit/aoc/blob/a/J/20/18.ijs
>> 
>> On 12/18/20, 'Michael Day' via Programming <programm...@jsoftware.com> wrote:
>>> Unlike in the K forum,  the J-wires have been virtually silent on this
>>> year's Advent of Code...
>>> 
>>> Anyway,  today's problem,  number 18,  might interest J & APLers as part
>>> 1 is ALMOST
>>> plug-it-in to J/APL;  there's just one twist,  so to speak,  namely we
>>> need to reverse an
>>> arithmetic expression,  eg
>>>     1 + (2 * 3) + (4 * (5 + 6))
>>> needs to be evaluated as
>>>     ((6 + 5) * 4) + (3 * 2) + 1
>>> 
>>> But, even though all numbers are single-digit,  just reversing the
>>> string doesn't work,  fairly obviously:
>>>     |.'1 + (2 * 3) + (4 * (5 + 6))'
>>> ))6 + 5( * 4( + )3 * 2( + 1
>>> 
>>> So the brackets need swapping.  The data is supplied as strings,  so I
>>> expected to use stringreplace,
>>> as found in strings.ijs
>>> 
>>> But:
>>>     |.    (  ')[' , '()' , '[('  ) stringreplace '1 + (2 * 3) + (4 * (5
>>> + 6))'
>>> [[6 + 5) * 4) + [3 * 2) + 1
>>> 
>>> Why don't the intermediate '[' get changed to the final ')'  ?
>>> 
>>> The second action in stringreplace is on the left hand argument:
>>>     _2 [\ ,(')[' , '()' , '[(' )
>>> )[
>>> ()
>>> [(
>>> 
>>> The first column should be items of old text and the second column
>>> their new replacements.  But the third pair seems to be ignored.
>>> 
>>> I did of course get round this little difficulty,  but would have preferred
>>> not to reinvent the wheel.
>>> 
>>> NB. Part 2 is a little more challenging,  as + is defined there as taking
>>> precedence over * .
>>> 
>>> Thanks,
>>> 
>>> Mike
>>> 
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