[Maxima-discuss] modest calculation that calls infsimp 2.4 million times

[Barton W. <wi...@un...>]

If you all are looking for a puzzle that is possibly more fun than Sudoko or Queens, figure out why infsimp is called over 2.4 million times to do the following modest calculation:

(%i1) timer(?infsimp)$

(%i2) xxx : product(f(i),i,1,inf)$

(%i3) xxx : subst(f(i) = product(g(k),k,1,inf), xxx)$

(%i4) xxx : subst(g(k) = product(w(m),m,1,inf), xxx)$

(%i5) timer_info();
(%o5) matrix(
            [function,  time\/call, calls,      runtime,    gctime],
            [infsimp,   6.329070747905959*10^-5*sec,  2400382,    151.921875*sec,   0],
            [total,     6.329070747905959*10^-5*sec,  2400382,    151.921875*sec,   0]
      )

I haven't tried to figure this out.

--Barton