The holonomic approach is several time faster.

> ti[standard]/ti[holonomy];

[Maple Math]

Moreover, this ratio would increase with the accuracy of the calculations. In this session, we have obtained [Maple Math] up to 332 digits.

> Z3[standard]-Z3[holonomy];

[Maple Math]

However, Maple would be able to compute [Maple Math] for any complex value [Maple Math] , while the holonomic approach only works for [Maple Math] .