>
> I gave you times on my machine in the post. The timings above are given
> by Nasser. What timing do you get?
>
(I replaced lines of output which are not interesting with "...". This is
on a Intel(R) Celeron(R) CPU N2940 @ 1.83GHz)
...
│ SageMath version 8.3.rc1, Release Date: 2018-07-14 │
...
sage: fricas.console()
;;; Loading #P"/home/martin/sage-develop/local/lib/ecl/cmp.fas"
...
Version: FriCAS 1.3.2
...
(1) -> )set messages time on
(1) -> integrate(sqrt(2*x + 1),x)
+-------+
(2 x + 1)\|2 x + 1
(1) -------------------
3
Type:
Union(Expression(Integer),...)
Time: 0.03 (IN) + 0.08 (EV) + 0.67 (OT) = 0.78
sec
(2) -> integrate(sqrt(2*x + 1),x)
+-------+
(2 x + 1)\|2 x + 1
(2) -------------------
3
Type:
Union(Expression(Integer),...)
Time: 0.00 (IN) + 0.01 (EV) + 0.01 (OT) = 0.03
sec
(3) -> integrate(sqrt(2*x + 1),x)
+-------+
(2 x + 1)\|2 x + 1
(3) -------------------
3
Type:
Union(Expression(Integer),...)
Time: 0.00 (IN) + 0.01 (EV) + 0.01 (OT) = 0.03
sec
(4) -> integrate(sqrt(3*x + 1)*x,x)
2 +-------+
(54 x + 6 x - 4)\|3 x + 1
(4) ---------------------------
135
Type:
Union(Expression(Integer),...)
Time: 0.01 (IN) + 0.01 (EV) + 0.02 (OT) = 0.04
sec
(5) -> integrate(sqrt(3*x + 1)*x,x)
2 +-------+
(54 x + 6 x - 4)\|3 x + 1
(5) ---------------------------
135
Type:
Union(Expression(Integer),...)
Time: 0.00 (IN) + 0.01 (EV) + 0.02 (OT) = 0.03
sec
(6) -> integrate(sqrt(3*x + 1)*x,x)
2 +-------+
(54 x + 6 x - 4)\|3 x + 1
(6) ---------------------------
135
Type:
Union(Expression(Integer),...)
Time: 0.00 (IN) + 0.01 (EV) + 0.01 (OT) = 0.02
sec
(7) -> integrate(sqrt(3*x + 1)*x,x)
2 +-------+
(54 x + 6 x - 4)\|3 x + 1
(7) ---------------------------
135
Type:
Union(Expression(Integer),...)
Time: 0.00 (IN) + 0.01 (EV) + 0.01 (OT) = 0.02
sec
(8) -> integrate(sqrt(x + 1)*x^2,x)
3 2 +-----+
(30 x + 6 x - 8 x + 16)\|x + 1
(8) ---------------------------------
105
Type:
Union(Expression(Integer),...)
Time: 0.01 (IN) + 0.01 (EV) + 0.03 (OT) = 0.05
sec
(9) -> integrate(sqrt(x + 1)*x^2,x)
3 2 +-----+
(30 x + 6 x - 8 x + 16)\|x + 1
(9) ---------------------------------
105
Type:
Union(Expression(Integer),...)
Time: 0.00 (IN) + 0.01 (EV) + 0.01 (OT) = 0.02
sec
(10) -> integrate(sqrt(x + 1)*x^2,x)
3 2 +-----+
(30 x + 6 x - 8 x + 16)\|x + 1
(10) ---------------------------------
105
Type:
Union(Expression(Integer),...)
Time: 0.00 (IN) + 0.01 (EV) + 0.01 (OT) = 0.02
sec
(11) -> )qu
sage: %timeit integrate(sqrt(2*x + 1),x,algorithm="fricas")
10 loops, best of 3: 21.3 ms per loop
sage: %timeit integrate(sqrt(3*x + 1)*x,x,algorithm="fricas")
10 loops, best of 3: 24.1 ms per loop
sage: %timeit integrate(sqrt(x + 1)*x^2,x,algorithm="fricas")
10 loops, best of 3: 24.7 ms per loop
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