We had the same thoughts but you were quicker and more concise :)

On Friday, 26 September 2014 03:15:01 UTC+2, Bill Page wrote:
>
> OK on second thought I guess I agree that it is only safe to simplify
>
>    sin(arcsin(z)) to z
>
> for all z (including complex z) but it in general it is wrong to simplify 
>
>   arcsin(sin(z)) to z
>
> since z is only one of the possible branches.
>
>
> On 25 September 2014 20:25, Bill Page <[email protected] 
> <javascript:>> wrote:
>
>> Although I agree that such auto-simplification would hide what is 
>> happening in normalize but otherwise why do you say that it is undesirable?
>>
>>
>> On 25 September 2014 20:16, Waldek Hebisch <[email protected] 
>> <javascript:>> wrote:
>>
>>> kfp wrote:
>>> >
>>> > BTW OpenAxiom gives a correct answer.
>>>
>>> Well, old version of FriCAS did:
>>>
>>> (3) -> asin(sin(x))
>>>
>>>    (3)  x
>>>                                                     Type: 
>>> Expression(Integer)
>>>
>>> But this simplification is undesirable outside of 'normalize'
>>> and is no longer applied by default.
>>>
>>>
>>>
>>>
>>> --
>>>                               Waldek Hebisch
>>> [email protected] <javascript:>
>>>
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>>
>>
>

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