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z=(3*x^4+(sqrt(y)))*sin(y^2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
    /   4     ___\    / 2\
z = \3*x  + \/ y /*sin\y /
$$z = \left(3 x^{4} + \sqrt{y}\right) \sin{\left(y^{2} \right)}$$
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Respuesta rápida [src] 
       //   _________________                                                             \                                            /                         _________________                                            \                                         \   /                         _________________                                            \                                            /   _________________                                                             \                                         
       ||4 /   2        2        /atan2(im(y), re(y))\        3                 3         |                        /  2        2   \   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |    /  2        2   \                    |   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |                        /  2        2   \   |4 /   2        2        /atan2(im(y), re(y))\        3                 3         |    /  2        2   \                    
z1 = I*||\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
       \\                        \         2         /                                    /                                            \                                              \         2         /                   /                                         /   \                                              \         2         /                   /                                            \                        \         2         /                                    /
$$z_{1} = i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$ 
z1 = i*(((re(y)^2 + im(y)^2)^(1/4)*sin(atan2(im(y, re(y))/2) + 12*re(x)^3*im(x) - 12*re(x)*im(x)^3)*sin(re(y)^2 - im(y)^2)*cosh(2*re(y)*im(y)) + ((re(y)^2 + im(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) + 3*re(x)^4 - 18*re(x)^2*im(x)^2 + 3*im(x)^4)*cos(re(y)^2 - im(y)^2)*sinh(2*re(y)*im(y))) - ((re(y)^2 + im(y)^2)^(1/4)*sin(atan2(im(y), re(y))/2) + 12*re(x)^3*im(x) - 12*re(x)*im(x)^3)*cos(re(y)^2 - im(y)^2)*sinh(2*re(y)*im(y)) + ((re(y)^2 + im(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) + 3*re(x)^4 - 18*re(x)^2*im(x)^2 + 3*im(x)^4)*sin(re(y)^2 - im(y)^2)*cosh(2*re(y)*im(y)))
Suma y producto de raíces [src] 
suma
  //   _________________                                                             \                                            /                         _________________                                            \                                         \   /                         _________________                                            \                                            /   _________________                                                             \                                         
  ||4 /   2        2        /atan2(im(y), re(y))\        3                 3         |                        /  2        2   \   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |    /  2        2   \                    |   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |                        /  2        2   \   |4 /   2        2        /atan2(im(y), re(y))\        3                 3         |    /  2        2   \                    
I*||\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
  \\                        \         2         /                                    /                                            \                                              \         2         /                   /                                         /   \                                              \         2         /                   /                                            \                        \         2         /                                    /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$ 
=
  //   _________________                                                             \                                            /                         _________________                                            \                                         \   /                         _________________                                            \                                            /   _________________                                                             \                                         
  ||4 /   2        2        /atan2(im(y), re(y))\        3                 3         |                        /  2        2   \   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |    /  2        2   \                    |   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |                        /  2        2   \   |4 /   2        2        /atan2(im(y), re(y))\        3                 3         |    /  2        2   \                    
I*||\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
  \\                        \         2         /                                    /                                            \                                              \         2         /                   /                                         /   \                                              \         2         /                   /                                            \                        \         2         /                                    /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$ 
producto
  //   _________________                                                             \                                            /                         _________________                                            \                                         \   /                         _________________                                            \                                            /   _________________                                                             \                                         
  ||4 /   2        2        /atan2(im(y), re(y))\        3                 3         |                        /  2        2   \   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |    /  2        2   \                    |   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |                        /  2        2   \   |4 /   2        2        /atan2(im(y), re(y))\        3                 3         |    /  2        2   \                    
I*||\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
  \\                        \         2         /                                    /                                            \                                              \         2         /                   /                                         /   \                                              \         2         /                   /                                            \                        \         2         /                                    /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$ 
=
  //   _________________                                                             \                                            /                         _________________                                            \                                         \   /                         _________________                                            \                                            /   _________________                                                             \                                         
  ||4 /   2        2        /atan2(im(y), re(y))\        3                 3         |                        /  2        2   \   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |    /  2        2   \                    |   |    4          4      4 /   2        2        /atan2(im(y), re(y))\        2      2   |                        /  2        2   \   |4 /   2        2        /atan2(im(y), re(y))\        3                 3         |    /  2        2   \                    
I*||\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/  im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/  im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
  \\                        \         2         /                                    /                                            \                                              \         2         /                   /                                         /   \                                              \         2         /                   /                                            \                        \         2         /                                    /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$ 
i*(((im(y)^2 + re(y)^2)^(1/4)*sin(atan2(im(y), re(y))/2) - 12*im(x)^3*re(x) + 12*re(x)^3*im(x))*cosh(2*im(y)*re(y))*sin(re(y)^2 - im(y)^2) + (3*im(x)^4 + 3*re(x)^4 + (im(y)^2 + re(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) - 18*im(x)^2*re(x)^2)*cos(re(y)^2 - im(y)^2)*sinh(2*im(y)*re(y))) + (3*im(x)^4 + 3*re(x)^4 + (im(y)^2 + re(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) - 18*im(x)^2*re(x)^2)*cosh(2*im(y)*re(y))*sin(re(y)^2 - im(y)^2) - ((im(y)^2 + re(y)^2)^(1/4)*sin(atan2(im(y), re(y))/2) - 12*im(x)^3*re(x) + 12*re(x)^3*im(x))*cos(re(y)^2 - im(y)^2)*sinh(2*im(y)*re(y))
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