deriv

-0.65364362086361191463916818309775038142
0.83373002513114904888388539433509447981 - 0.9888977057628650963821295408926
8618864*I
1 - 1/2*x^2 + 1/24*x^4 - 1/720*x^6 + 1/40320*x^8 - 1/3628800*x^10 + 1/479001
600*x^12 - 1/87178291200*x^14 + 1/20922789888000*x^16 + O(x^17)
-0.65364362086361191463916818309775038142
1 + O(t^2)
1 - 1/2*t^2 + 1/24*t^4 - 1/720*t^6 + 1/40320*t^8 - 1/3628800*t^10 + 1/479001
600*t^12 - 1/87178291200*t^14 + 1/20922789888000*t^16 + O(t^17)
0.54030230586813971740093660744297660373 + 0.8414709848078965066525023216302
9899962*t - 1.1116221377419663653529706253517873015*t^2 + 1.2415281265413868
062780218754682257701*t^3 - 1.2086763551283186745359503800028237136*t^4 + 0.
99756648563165528612382129965904293175*t^5 - 0.60046085825628373309052750421
982407285*t^6 + 0.017967952623614463202494741978235548225*t^7 + 0.7405545097
7142910348016232166472688835*t^8 - 1.6567879034733145514106563113137871196*t
^9 + 2.7034410910737658601008510753655794709*t^10 - 3.8444448874661633307934
331097517525113*t^11 + 5.0353559133209458942259649372731155821*t^12 - 6.2239
703711772098957775971680803734805*t^13 + 7.351145435617212277584406723929509
9587*t^14 - 8.3518230734703734024304578550750879236*t^15 + O(t^16)
3.5962749997291581980860017516463603814
0
Mod(x, x^2 + 1)
0
Mod(x, x^2 + 1)
Mod(0, x^2 + 1)
error("incorrect priority in intformal: variable x = x")
Mod(1/2*y^2*x + y, x^2 + 1)
Mod(0, 3)
Mod(0, 3)
Mod(0, 3)
Mod(0, 3)
Mod(0, 3)
Mod(1, 3)*x
Mod(1, 3)*y
0
0
0
0
0
t*x
t*y
y + O(x^2)
y + O(x^2)
O(x)
x + O(x^3)
O(x^3)
x + 1/2*y*x^2 + O(x^4)
y + 1/2*y^2*x + O(x^3)
y/(x^2 + 2*y*x + y^2)
y/(x^2 + 2*y*x + y^2)
-2*y/(x^3 + 3*y*x^2 + 3*y^2*x + y^3)
-x/(x^2 + 2*y*x + y^2)
2*x/(x^3 + 3*y*x^2 + 3*y^2*x + y^3)
error("domain error in intformal: residue(series, pole) != 0")
error("domain error in intformal: residue(series, pole) != 0")
(-x^4 - 6*x^2 - 12*x + 3)/(3*x^6 + 9*x^4 + 9*x^2 + 3)
(-x^4 - 6*x^2 - 12*x + 3)/(3*x^6 + 9*x^4 + 9*x^2 + 3)
(2*x^5 + 20*x^3 + 60*x^2 - 30*x - 12)/(3*x^8 + 12*x^6 + 18*x^4 + 12*x^2 + 3)
0
0
error("domain error in intformal: residue(series, pole) != 0")
(y*x^3 + 3*y*x + 3*y)/(3*x^4 + 6*x^2 + 3)
[y]
[y]
[0]
[x]
[0]
[1/2*y*x^2]
[1/2*y^2*x]
Mat(y)
Mat(y)
Mat(0)
Mat(x)
Mat(0)
Mat(1/2*y*x^2)
Mat(1/2*y^2*x)
-Y*A + Y
0
0
x
x
O(x)
O(x)
x
x
3.0000000000000000000000000000000000000*y
2.0000000000000000000000000000000000000*y
2.0000000000000000000000000000000000000*y
-2.0000000000000000000000000000000000000
0.17600000000000000000000000000000000000
-0.016000000000000000000000000000000000000 - 1.08800000000000000000000000000
00000000*I
-2 + 12*t^2 - 30*t^4 + 56*t^6 - 90*t^8 + 132*t^10 - 182*t^12 + 240*t^14 - 30
6*t^16 + O(t^18)
6*t^4 - 20*t^6 + 42*t^8 - 72*t^10 + 110*t^12 - 156*t^14 + 210*t^16 + O(t^18)
-52635599.000000000000000000000000000000
[1, 1, 1, 0, -3, -8, -3, 56, 217, 64, -2951, -12672, 5973, 309376]
[]
1 + x^2 + 1/2*x^4 + 1/6*x^6 + 1/24*x^8 + 1/120*x^10 + 1/720*x^12 + 1/5040*x^
14 + 1/40320*x^16 + O(x^18)
1 + x^2 + 1/2*x^4 + 1/6*x^6 + 1/24*x^8 + 1/120*x^10 + O(x^12)
0
-16*x/(16*x^4 + 8*x^2 + 1)
  ***   at top-level: derivnum(z=0,0,[0,-1])
  ***                              ^---------
  ***   domain error in derivnumk: derivation order < 0
  ***   at top-level: derivnum(z=0,0,[1,-1])
  ***                              ^---------
  ***   domain error in derivnumk: derivation order < 0
  ***   at top-level: derivnum(z=0,0,x)
  ***                              ^----
  ***   incorrect type in derivnum (t_POL).
  ***   at top-level: derivn(cos,-1)
  ***                 ^--------------
  *** derivn: domain error in derivn: n < 0
  ***   at top-level: derivn(cos,1,'x)
  ***                 ^----------------
  *** derivn: incorrect type in derivn (t_CLOSURE).
  ***   at top-level: sin'("")
  ***                 ^--------
  ***   in function sin: sin'
  ***                    ^----
  *** _derivfun: incorrect type in numerical derivation (t_STR).
  ***   at top-level: sin''("")
  ***                 ^---------
  ***   in function sin: derivn(sin,2)
  ***                    ^-------------
  *** _derivfun: incorrect type in numerical derivation (t_STR).
  ***   at top-level: (x->x)'("")
  ***                 ^-----------
  ***   in anonymous function: ((x)->x)'
  ***                          ^---------
  *** _derivfun: incorrect type in numerical derivation (t_STR).
  ***   at top-level: (x->x)''("")
  ***                 ^------------
  ***   in anonymous function: derivn((x)->x,2)
  ***                          ^----------------
  *** _derivfun: incorrect type in numerical derivation (t_STR).
Total time spent: 3