Hello Dima,

This was a fast reply!

Fabian

On Tuesday, January 27, 2026 at 6:52:13 PM UTC+1 Dima Pasechnik wrote:

> I can add that I can repeat this at Fricas prompt, it has nothing to
> do with Sage per se.
> It's for me on Gentoo Linux, with
>
> $ fricas
> Checking for foreign routines
> FRICAS="/usr/lib64/fricas/target/x86_64-pc-linux-gnu"
> spad-lib="/usr/lib64/fricas/target/x86_64-pc-linux-gnu/lib/libspad.so"
> foreign routines found
> openServer result 0
> FriCAS Computer Algebra System
> Version: FriCAS 1.3.12 built with sbcl 2.5.11
> Timestamp: Thu Dec 11 00:10:42 CST 2025
>
>
> On Tue, Jan 27, 2026 at 11:42 AM Fabian <[email protected]> wrote:
> >
> > Hello FriCAS group,
> >
> > It looks like I found a bug in FriCAS:
> > F:=integrate(acos(x^2),x)
> > gives:
> > +--------+
> > | 4 2 2
> > - 2 \|- x + 1 + x acos(x )
> > ----------------------------
> > x
> >
> > D(F,x)-acos(x^2)
> > gives the following instead of 0:
> > 2
> > -------------
> > +--------+
> > 2 | 4
> > x \|- x + 1
> >
> > I use FriCAS via https://sagecell.sagemath.org/ . Here is some 
> Sage-code that produces the above output:
> >
> > from sage.interfaces.fricas import fricas
> > fricas.eval(
> > "F:=integrate(acos(x^2),x)"
> > )
> > print("F=\n",fricas("F"))
> > fricas.eval("f:=D(F,x)-acos(x^2)")
> > print("F'-acos(x^2)=\n",fricas("f"))
> >
> > The FriCAS version is 1.3.12. (print(fricas.eval(")lisp 
> |$build_version|") tells me this.)
> >
> > The SageMath version is 10.8, Release Date: 2025-12-18. (version() tells 
> me this.)
> >
> > Fabian
> >
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> .
>

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