I forgot, FriCAS in march 2020:
)set mess type off
)set output length 45
x : UP(x,INT)
y : UP(y,UP(x,INT))
z : UP(z,UP(y,UP(x,INT)))
t : UP(t,UP(z,UP(y,UP(x,INT))))
f := x + y + z + t + 1
p := f^30;
)set mess time on
q := p*(p+1);
Type:
UnivariatePolynomial(t,UnivariatePolynomial(z,UnivariatePolynomial(y,UnivariatePolynomial(x,Integer))))
Time: 184.01 (EV) = 184.01 sec
f : MPOLY([x,y,z,t],INT) := x + y + z + t + 1
p := f^30;
)set message time on
q := p*(p+1);
(3) -> q := p*(p+1);
Type: MultivariatePolynomial([x,y,z,t],Integer)
Time: 283.59 (EV) = 283.59 sec
So an amelioration for nested univariate polynomials.
Today (multivariate):
(2) -> f : MPOLY([x,y,z,t],INT) := x + y + z + t + 1
p := f^30;
(2) x + y + z + t + 1
Type: MultivariatePolynomial([x,y,z,t],Integer)
(3) -> )set message time on
Type: MultivariatePolynomial([x,y,z,t],Integer)
(4) -> (4) -> q := p*(p+1);
(3) -> q := p*(p+1);
Type: MultivariatePolynomial([x,y,z,t],Integer)
Time: 0 (IN) + 227.10 (EV) + 0 (OT) = 227.10 sec
(5) -> q := p*(p+1);
Type: MultivariatePolynomial([x,y,z,t],Integer)
Time: 0 (IN) + 227.53 (EV) + 0 (OT) = 227.53 sec
Idem.
That's all.
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