3.17.21 \(\int \frac {e^{\frac {-256 x+512 x^2+128 x^3-646 x^4-11 x^5+320 x^6+32 x^7-64 x^8-16 x^9}{512-1024 x-256 x^2+1280 x^3+22 x^4-640 x^5-64 x^6+128 x^7+32 x^8}} (-65536+262144 x-196608 x^2-464896 x^3+642560 x^4+340480 x^5-721920 x^6-161536 x^7+456711 x^8+80384 x^9-178368 x^{10}-41984 x^{11}+39584 x^{12}+14336 x^{13}-3072 x^{14}-2048 x^{15}-256 x^{16})}{131072-524288 x+393216 x^2+917504 x^3-1266688 x^4-677888 x^5+1436160 x^6+323072 x^7-917262 x^8-161536 x^9+359040 x^{10}+84736 x^{11}-79168 x^{12}-28672 x^{13}+6144 x^{14}+4096 x^{15}+512 x^{16}} \, dx\)

Optimal. Leaf size=33 \[ e^{\frac {1}{2} \left (\frac {6}{5-16 \left (\frac {2-x}{x}-x\right )^4}-x\right )} \]

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Rubi [F]  time = 180.00, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \text {\$Aborted} \end {gather*}

Verification is not applicable to the result.

[In]

Int[(E^((-256*x + 512*x^2 + 128*x^3 - 646*x^4 - 11*x^5 + 320*x^6 + 32*x^7 - 64*x^8 - 16*x^9)/(512 - 1024*x - 2
56*x^2 + 1280*x^3 + 22*x^4 - 640*x^5 - 64*x^6 + 128*x^7 + 32*x^8))*(-65536 + 262144*x - 196608*x^2 - 464896*x^
3 + 642560*x^4 + 340480*x^5 - 721920*x^6 - 161536*x^7 + 456711*x^8 + 80384*x^9 - 178368*x^10 - 41984*x^11 + 39
584*x^12 + 14336*x^13 - 3072*x^14 - 2048*x^15 - 256*x^16))/(131072 - 524288*x + 393216*x^2 + 917504*x^3 - 1266
688*x^4 - 677888*x^5 + 1436160*x^6 + 323072*x^7 - 917262*x^8 - 161536*x^9 + 359040*x^10 + 84736*x^11 - 79168*x
^12 - 28672*x^13 + 6144*x^14 + 4096*x^15 + 512*x^16),x]

[Out]

$Aborted

Rubi steps

Aborted

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Mathematica [A]  time = 0.13, size = 55, normalized size = 1.67 \begin {gather*} e^{-\frac {x}{2}-\frac {3 x^4}{256-512 x-128 x^2+640 x^3+11 x^4-320 x^5-32 x^6+64 x^7+16 x^8}} \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(E^((-256*x + 512*x^2 + 128*x^3 - 646*x^4 - 11*x^5 + 320*x^6 + 32*x^7 - 64*x^8 - 16*x^9)/(512 - 1024
*x - 256*x^2 + 1280*x^3 + 22*x^4 - 640*x^5 - 64*x^6 + 128*x^7 + 32*x^8))*(-65536 + 262144*x - 196608*x^2 - 464
896*x^3 + 642560*x^4 + 340480*x^5 - 721920*x^6 - 161536*x^7 + 456711*x^8 + 80384*x^9 - 178368*x^10 - 41984*x^1
1 + 39584*x^12 + 14336*x^13 - 3072*x^14 - 2048*x^15 - 256*x^16))/(131072 - 524288*x + 393216*x^2 + 917504*x^3
- 1266688*x^4 - 677888*x^5 + 1436160*x^6 + 323072*x^7 - 917262*x^8 - 161536*x^9 + 359040*x^10 + 84736*x^11 - 7
9168*x^12 - 28672*x^13 + 6144*x^14 + 4096*x^15 + 512*x^16),x]

[Out]

E^(-1/2*x - (3*x^4)/(256 - 512*x - 128*x^2 + 640*x^3 + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8))

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fricas [B]  time = 0.69, size = 89, normalized size = 2.70 \begin {gather*} e^{\left (-\frac {16 \, x^{9} + 64 \, x^{8} - 32 \, x^{7} - 320 \, x^{6} + 11 \, x^{5} + 646 \, x^{4} - 128 \, x^{3} - 512 \, x^{2} + 256 \, x}{2 \, {\left (16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256\right )}}\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((-256*x^16-2048*x^15-3072*x^14+14336*x^13+39584*x^12-41984*x^11-178368*x^10+80384*x^9+456711*x^8-161
536*x^7-721920*x^6+340480*x^5+642560*x^4-464896*x^3-196608*x^2+262144*x-65536)*exp((-16*x^9-64*x^8+32*x^7+320*
x^6-11*x^5-646*x^4+128*x^3+512*x^2-256*x)/(32*x^8+128*x^7-64*x^6-640*x^5+22*x^4+1280*x^3-256*x^2-1024*x+512))/
(512*x^16+4096*x^15+6144*x^14-28672*x^13-79168*x^12+84736*x^11+359040*x^10-161536*x^9-917262*x^8+323072*x^7+14
36160*x^6-677888*x^5-1266688*x^4+917504*x^3+393216*x^2-524288*x+131072),x, algorithm="fricas")

[Out]

e^(-1/2*(16*x^9 + 64*x^8 - 32*x^7 - 320*x^6 + 11*x^5 + 646*x^4 - 128*x^3 - 512*x^2 + 256*x)/(16*x^8 + 64*x^7 -
32*x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256))

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giac [B]  time = 1.21, size = 423, normalized size = 12.82 \begin {gather*} e^{\left (-\frac {8 \, x^{9}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} - \frac {32 \, x^{8}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} + \frac {16 \, x^{7}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} + \frac {160 \, x^{6}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} - \frac {11 \, x^{5}}{2 \, {\left (16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256\right )}} - \frac {323 \, x^{4}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} + \frac {64 \, x^{3}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} + \frac {256 \, x^{2}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} - \frac {128 \, x}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256}\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((-256*x^16-2048*x^15-3072*x^14+14336*x^13+39584*x^12-41984*x^11-178368*x^10+80384*x^9+456711*x^8-161
536*x^7-721920*x^6+340480*x^5+642560*x^4-464896*x^3-196608*x^2+262144*x-65536)*exp((-16*x^9-64*x^8+32*x^7+320*
x^6-11*x^5-646*x^4+128*x^3+512*x^2-256*x)/(32*x^8+128*x^7-64*x^6-640*x^5+22*x^4+1280*x^3-256*x^2-1024*x+512))/
(512*x^16+4096*x^15+6144*x^14-28672*x^13-79168*x^12+84736*x^11+359040*x^10-161536*x^9-917262*x^8+323072*x^7+14
36160*x^6-677888*x^5-1266688*x^4+917504*x^3+393216*x^2-524288*x+131072),x, algorithm="giac")

[Out]

e^(-8*x^9/(16*x^8 + 64*x^7 - 32*x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256) - 32*x^8/(16*x^8 + 6
4*x^7 - 32*x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256) + 16*x^7/(16*x^8 + 64*x^7 - 32*x^6 - 320*
x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256) + 160*x^6/(16*x^8 + 64*x^7 - 32*x^6 - 320*x^5 + 11*x^4 + 640*x
^3 - 128*x^2 - 512*x + 256) - 11/2*x^5/(16*x^8 + 64*x^7 - 32*x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*
x + 256) - 323*x^4/(16*x^8 + 64*x^7 - 32*x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256) + 64*x^3/(1
6*x^8 + 64*x^7 - 32*x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256) + 256*x^2/(16*x^8 + 64*x^7 - 32*
x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256) - 128*x/(16*x^8 + 64*x^7 - 32*x^6 - 320*x^5 + 11*x^4
+ 640*x^3 - 128*x^2 - 512*x + 256))

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maple [A]  time = 0.43, size = 87, normalized size = 2.64

method	result	size
gosper	\({\mathrm e}^{-\frac {x \left (16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+646 x^{3}-128 x^{2}-512 x +256\right )}{2 \left (16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+640 x^{3}-128 x^{2}-512 x +256\right )}}\)	\(87\)
risch	\({\mathrm e}^{-\frac {x \left (16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+646 x^{3}-128 x^{2}-512 x +256\right )}{2 \left (16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+640 x^{3}-128 x^{2}-512 x +256\right )}}\)	\(87\)
norman	\(\frac {-512 x \,{\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}-128 x^{2} {\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+640 x^{3} {\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+11 x^{4} {\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}-320 x^{5} {\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}-32 x^{6} {\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+64 x^{7} {\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+16 x^{8} {\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}+256 \,{\mathrm e}^{\frac {-16 x^{9}-64 x^{8}+32 x^{7}+320 x^{6}-11 x^{5}-646 x^{4}+128 x^{3}+512 x^{2}-256 x}{32 x^{8}+128 x^{7}-64 x^{6}-640 x^{5}+22 x^{4}+1280 x^{3}-256 x^{2}-1024 x +512}}}{16 x^{8}+64 x^{7}-32 x^{6}-320 x^{5}+11 x^{4}+640 x^{3}-128 x^{2}-512 x +256}\)	\(877\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((-256*x^16-2048*x^15-3072*x^14+14336*x^13+39584*x^12-41984*x^11-178368*x^10+80384*x^9+456711*x^8-161536*x^
7-721920*x^6+340480*x^5+642560*x^4-464896*x^3-196608*x^2+262144*x-65536)*exp((-16*x^9-64*x^8+32*x^7+320*x^6-11
*x^5-646*x^4+128*x^3+512*x^2-256*x)/(32*x^8+128*x^7-64*x^6-640*x^5+22*x^4+1280*x^3-256*x^2-1024*x+512))/(512*x
^16+4096*x^15+6144*x^14-28672*x^13-79168*x^12+84736*x^11+359040*x^10-161536*x^9-917262*x^8+323072*x^7+1436160*
x^6-677888*x^5-1266688*x^4+917504*x^3+393216*x^2-524288*x+131072),x,method=_RETURNVERBOSE)

[Out]

exp(-1/2*x*(16*x^8+64*x^7-32*x^6-320*x^5+11*x^4+646*x^3-128*x^2-512*x+256)/(16*x^8+64*x^7-32*x^6-320*x^5+11*x^
4+640*x^3-128*x^2-512*x+256))

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maxima [B]  time = 26.12, size = 52, normalized size = 1.58 \begin {gather*} e^{\left (-\frac {3 \, x^{4}}{16 \, x^{8} + 64 \, x^{7} - 32 \, x^{6} - 320 \, x^{5} + 11 \, x^{4} + 640 \, x^{3} - 128 \, x^{2} - 512 \, x + 256} - \frac {1}{2} \, x\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((-256*x^16-2048*x^15-3072*x^14+14336*x^13+39584*x^12-41984*x^11-178368*x^10+80384*x^9+456711*x^8-161
536*x^7-721920*x^6+340480*x^5+642560*x^4-464896*x^3-196608*x^2+262144*x-65536)*exp((-16*x^9-64*x^8+32*x^7+320*
x^6-11*x^5-646*x^4+128*x^3+512*x^2-256*x)/(32*x^8+128*x^7-64*x^6-640*x^5+22*x^4+1280*x^3-256*x^2-1024*x+512))/
(512*x^16+4096*x^15+6144*x^14-28672*x^13-79168*x^12+84736*x^11+359040*x^10-161536*x^9-917262*x^8+323072*x^7+14
36160*x^6-677888*x^5-1266688*x^4+917504*x^3+393216*x^2-524288*x+131072),x, algorithm="maxima")

[Out]

e^(-3*x^4/(16*x^8 + 64*x^7 - 32*x^6 - 320*x^5 + 11*x^4 + 640*x^3 - 128*x^2 - 512*x + 256) - 1/2*x)

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mupad [B]  time = 0.51, size = 431, normalized size = 13.06 \begin {gather*} {\mathrm {e}}^{-\frac {128\,x}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{-\frac {8\,x^9}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{\frac {16\,x^7}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{-\frac {32\,x^8}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{\frac {64\,x^3}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{\frac {160\,x^6}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{\frac {256\,x^2}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{-\frac {323\,x^4}{16\,x^8+64\,x^7-32\,x^6-320\,x^5+11\,x^4+640\,x^3-128\,x^2-512\,x+256}}\,{\mathrm {e}}^{-\frac {11\,x^5}{32\,x^8+128\,x^7-64\,x^6-640\,x^5+22\,x^4+1280\,x^3-256\,x^2-1024\,x+512}} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-(exp(-(256*x - 512*x^2 - 128*x^3 + 646*x^4 + 11*x^5 - 320*x^6 - 32*x^7 + 64*x^8 + 16*x^9)/(1280*x^3 - 256
*x^2 - 1024*x + 22*x^4 - 640*x^5 - 64*x^6 + 128*x^7 + 32*x^8 + 512))*(196608*x^2 - 262144*x + 464896*x^3 - 642
560*x^4 - 340480*x^5 + 721920*x^6 + 161536*x^7 - 456711*x^8 - 80384*x^9 + 178368*x^10 + 41984*x^11 - 39584*x^1
2 - 14336*x^13 + 3072*x^14 + 2048*x^15 + 256*x^16 + 65536))/(393216*x^2 - 524288*x + 917504*x^3 - 1266688*x^4
- 677888*x^5 + 1436160*x^6 + 323072*x^7 - 917262*x^8 - 161536*x^9 + 359040*x^10 + 84736*x^11 - 79168*x^12 - 28
672*x^13 + 6144*x^14 + 4096*x^15 + 512*x^16 + 131072),x)

[Out]

exp(-(128*x)/(640*x^3 - 128*x^2 - 512*x + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8 + 256))*exp(-(8*x^9)/(64
0*x^3 - 128*x^2 - 512*x + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8 + 256))*exp((16*x^7)/(640*x^3 - 128*x^2
- 512*x + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8 + 256))*exp(-(32*x^8)/(640*x^3 - 128*x^2 - 512*x + 11*x^
4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8 + 256))*exp((64*x^3)/(640*x^3 - 128*x^2 - 512*x + 11*x^4 - 320*x^5 - 32
*x^6 + 64*x^7 + 16*x^8 + 256))*exp((160*x^6)/(640*x^3 - 128*x^2 - 512*x + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 +
16*x^8 + 256))*exp((256*x^2)/(640*x^3 - 128*x^2 - 512*x + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8 + 256))
*exp(-(323*x^4)/(640*x^3 - 128*x^2 - 512*x + 11*x^4 - 320*x^5 - 32*x^6 + 64*x^7 + 16*x^8 + 256))*exp(-(11*x^5)
/(1280*x^3 - 256*x^2 - 1024*x + 22*x^4 - 640*x^5 - 64*x^6 + 128*x^7 + 32*x^8 + 512))

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sympy [B]  time = 1.56, size = 85, normalized size = 2.58 \begin {gather*} e^{\frac {- 16 x^{9} - 64 x^{8} + 32 x^{7} + 320 x^{6} - 11 x^{5} - 646 x^{4} + 128 x^{3} + 512 x^{2} - 256 x}{32 x^{8} + 128 x^{7} - 64 x^{6} - 640 x^{5} + 22 x^{4} + 1280 x^{3} - 256 x^{2} - 1024 x + 512}} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((-256*x**16-2048*x**15-3072*x**14+14336*x**13+39584*x**12-41984*x**11-178368*x**10+80384*x**9+456711
*x**8-161536*x**7-721920*x**6+340480*x**5+642560*x**4-464896*x**3-196608*x**2+262144*x-65536)*exp((-16*x**9-64
*x**8+32*x**7+320*x**6-11*x**5-646*x**4+128*x**3+512*x**2-256*x)/(32*x**8+128*x**7-64*x**6-640*x**5+22*x**4+12
80*x**3-256*x**2-1024*x+512))/(512*x**16+4096*x**15+6144*x**14-28672*x**13-79168*x**12+84736*x**11+359040*x**1
0-161536*x**9-917262*x**8+323072*x**7+1436160*x**6-677888*x**5-1266688*x**4+917504*x**3+393216*x**2-524288*x+1
31072),x)

[Out]

exp((-16*x**9 - 64*x**8 + 32*x**7 + 320*x**6 - 11*x**5 - 646*x**4 + 128*x**3 + 512*x**2 - 256*x)/(32*x**8 + 12
8*x**7 - 64*x**6 - 640*x**5 + 22*x**4 + 1280*x**3 - 256*x**2 - 1024*x + 512))

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