Thanks for your explanation regarding how radcan works.
If radcan ignores assumptions, how can one explain the following behavior:
sage: assume(x<0)
sage: sqrt(x^2).simplify_radical()
x
sage: maxima_calculus.eval('domain:real')
'real'
sage: sqrt(x^2).simplify_radical()
-x
It seems that assuming the domain is 'real' had an effect on radcan.
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