On Sat, Aug 20, 2022 at 11:15:25PM -0700, 'Nasser M. Abbasi' via FriCAS -
computer algebra system wrote:
> FYI,
>
> (Posted at https://groups.google.com/g/fricas-devel and
> https://groups.google.com/g/sci.math.symbolic)
>
> Independent CAS integration tests summer 2022 edition is now complete.
> (It took about 5 months since I initially started working on it!)
>
> <https://www.12000.org/my_notes/CAS_integration_tests/reports/summer_2022/index.htm>
>
Thanks for your effort.
I looked at integrals were you report much higher size than
"optimal". For FriCAS there are several cases where you
report size thousends time larger than other systems.
However, when I try the examples I see large result,
but much smaller and quite different than result on
your pages. In particular:
File nr command
25 1276 integrate(1/(b*x^5+a), x)
29 186 integrate((h*x^5+g*x^4+f*x^3+e*x^2+d*x+c)/(-b*x^4+a),x)
42 21 integrate((f*x^2+e*x+d)/(c*x^4+b*x^2+a),x)
43 22 integrate(x^3*(C*x^2+B*x+A)/(c*x^4+b*x^2+a),x)
51 134 integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x),x)
79 254 integrate(1/(a-b*sin(x)^8),x)
95 79 integrate(1/(a-b*cos(x)^8),x)
103 1257 integrate(1/(a+b*tan(f*x+e))/(c+d*tan(f*x+e))^(3/2),x)
104 354 integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x)
ATM my guess is that Sage is transforming FriCAS result making
it _much_ larger. AFAICS in all FriCAS result involve implict
algebraic quantities (constants).
BTW: looking earlier I noticed some discrepancies between pages,
summary claimed that result is big, specific page claimed timeout.
--
Waldek Hebisch
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