x + x^2 + O(x^5)
x + x^2 - 1/3*x^3 - x^4 + O(x^5)
O(x^5)
[0.78539816339744830961566084581987572105 + O(x^16)]
x + x^2 + 1/6*x^3 + 1/2*x^4 + O(x^5)
O(x^5)
[1.5707963267948966192313216916397514421 + O(x^8)]
1.5707963267948966192313216916397514421 - x - x^2 - 1/6*x^3 - 1/2*x^4 + O(x^
5)
1.5707963267948966192313216916397514421 + O(x^5)
[O(x^8)]
1 + 1/2*x^2 + x^3 + 13/24*x^4 + O(x^5)
1 + O(x^5)
[1.5430806348152437784779056207570616826 + O(x^16)]
x + x^2 + 1/6*x^3 + 1/2*x^4 + O(x^5)
O(x^5)
[1.1752011936438014568823818505956008152 + O(x^16)]
x + x^2 - 1/3*x^3 - x^4 + O(x^5)
O(x^5)
[0.76159415595576488811945828260479359041 + O(x^16)]
x^-1 - 1 + 4/3*x - 2/3*x^2 + O(x^3)
O(x^5)
[1.3130352854993313036361612469308478329 + O(x^16)]
1.5707963267948966192313216916397514421*I - 1.000000000000000000000000000000
0000000*I*x - 1.0000000000000000000000000000000000000*I*x^2 - 0.166666666666
66666666666666666666666667*I*x^3 - 0.50000000000000000000000000000000000000*
I*x^4 + O(x^5)
1.5707963267948966192313216916397514421*I + O(x^5)
[O(x^8)]
x + x^2 - 1/6*x^3 - 1/2*x^4 + O(x^5)
O(x^5)
[0.88137358701954302523260932497979230903 + O(x^16)]
x + x^2 + 1/3*x^3 + x^4 + O(x^5)
O(x^5)
  ***   at top-level: ...rint(f[i](O(x^5)));print(f[i]([Pol(1)]));)
  ***                                             ^-----------------
  ***   in function f: atanh
  ***                  ^-----
  *** atanh: impossible inverse in div_ser: O(x^16).
O(x^-2)
O(x^-2)
2 + O(x^2)
1 + O(x^2)
1
O(x^0)
2*x + O(x^2)
2*x - 8/3*x^3 + 32/5*x^5 - 128/7*x^7 + 512/9*x^9 - 2048/11*x^11 + 8192/13*x^
13 - 32768/15*x^15 + O(x^17)
error("domain error in sqrtn: valuation != Mod(0, 2)")
((1 + O(y^4))*x + y^3)/(y^3*x)
x + 2*x^2 + O(x^3)
2*x^2 + O(x^3)
O(x^100)
x + O(x^2)
Mod(0, 3)*x + O(x^2)
Mod(0, 3)*x + O(x^2)
1 + 2*x + 3*x^2 + O(x^3)
1 + 2*x + 3*x^2 + O(x^6)
1 + 2*x - 5*x^2 + O(x^3)
1 + 2*y + O(y^2)
1 + 2*y + 3*y^2 + O(y^5)
1 + 2*y + 3*y^2 + O(y^5)
O(x^3)
1 + 2*y + 3*y^2 + O(y^5)
x + O(x^4)
O(x^3)
x + x^2 + O(x^3)
O(x^2)
O(x^0)
O(x^0)
O(x^-1)
O(x^0)
y + x + O(x^2)
(y + O(y^17)) + (1 + O(y^16))*x + O(x^2)
Mod(0, 7)*x^15 + O(x^16)
Mod(1, 7)*x^2 + Mod(1, 7)*x^4 + O(x^5)
Mod(0, 7)*x^15 + O(x^16)
Mod(1, 7) + O(x^16)
Mod(1, 7)*x + O(x^16)
Mod(0, 7)*x^14 + O(x^15)
Mod(0, 7)*x^14 + O(x^15)
Mod(0, 7)*x^15 + O(x^16)
Mod(0, 7)*x^15 + O(x^16)
Mod(0, 7)*x^15 + O(x^16)
Mod(0, 7)*x^15 + O(x^16)
O(x^16)
Mod(0, 7)*x^15 + O(x^16)
O(x^16)
0
Mod(0, 4)*x + O(x^2)
(1 + O(y^2))*x^3
(Mod(1, 3) + O(y^2))*x^3
O(x)
O(3) + O(x)
O(3^2) + O(x)
O(3^3) + O(x)
1 + O(x)
  *** _+_: Warning: normalizing a series with 0 leading term.
x^-1 + O(x)
[0, 1, 1]
[0, 1, 1]
[0, 1, 1]
Mod(0, 9)*x + O(x^2)
0.E-38*x^-1 + O(x^0)
O(x^0)
Mod(0, 2)*x^-1 + O(x^0)
1 + O(y)
1 + y^2 + O(y^4)
1
1
0
1 + O(x^200)
1
1 + x^3 + O(x^6)
1 + x^2 + O(x^4)
1 + x^3 + 4*x^4 + O(x^5)
0
Mod(0, 3)
O(3^2)*x^2 + O(x^3)
1
Mod(1, 3)
1 + O(3)*x + O(x^2)
1 + z^2 + O(z^3)
y^2 + (1 + z^2 + O(z^3))
x^-1 - 1/6*x + 1/120*x^3 + O(x^4)
t^-1 - 1/6*t + 1/120*t^3 + O(t^4)
-1/2*x + 1/24*x^3 - 1/720*x^5 + 1/40320*x^7 - 1/3628800*x^9 + 1/479001600*x^
11 - 1/87178291200*x^13 + 1/20922789888000*x^15 - 1/6402373705728000*x^17 + 
O(x^18)
  ***   at top-level: subst(x^-1+O(x),x,Mod(0,3))
  ***                 ^---------------------------
  *** subst: impossible inverse in gsubst: Mod(0, 3).
  ***   at top-level: subst(O(x^-1),x,Mod(0,3))
  ***                 ^-------------------------
  *** subst: impossible inverse in gsubst: Mod(0, 3).
  ***   at top-level: subst(x^-1+O(x),x,0*x)
  ***                 ^----------------------
  *** subst: impossible inverse in gsubst: 0.
  ***   at top-level: subst(O(x^-1),x,0*x)
  ***                 ^--------------------
  *** subst: impossible inverse in gsubst: 0.
  ***   at top-level: Ser(1/x,y)
  ***                 ^----------
  *** Ser: incorrect priority in Ser: variable x < y
  ***   at top-level: Ser(x,y)
  ***                 ^--------
  *** Ser: incorrect priority in Ser: variable x < y
  ***   at top-level: Ser([x],y)
  ***                 ^----------
  *** Ser: incorrect priority in Ser: variable x <= y
  ***   at top-level: Ser(x,,-5)
  ***                 ^----------
  *** Ser: domain error in Ser: precision < 0
  ***   at top-level: Ser("")
  ***                 ^-------
  *** Ser: incorrect type in Ser (t_STR).
  *** _/_: Warning: normalizing a series with 0 leading term.
  ***   at top-level: O(13^-5)/Mat(Mod(2,26)*y*x+(Mod(1,2)*y^-1+O(y^
  ***                         ^--------------------------------------
  *** _/_: impossible inverse in div_ser: O(13^0) + O(13^0)*y + O(13^0)*y^2 + O(13^0)*y^3 + O(y^4).
  ***   at top-level: laurentseries(1)
  ***                 ^----------------
  *** laurentseries: incorrect type in laurentseries (t_INT).
  ***   at top-level: laurentseries((x,y)->1)
  ***                 ^-----------------------
  *** laurentseries: incorrect type in laurentseries (t_CLOSURE).
Total time spent: 16
