Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`(log(e^(Im(((e^(i*(cos(pi / 2 + (-1)*(pi / 2)))*(tan((1 + (-2)*((e^(i*((e^(i*(pi / 2)) + (-1)*e^((-1)*i*(pi / 2))) / (2*i))*2*(log(e^pi))) + (-1)*e^((-1)*i*((e^(i*(pi / 2)) + (-1)*e^((-1)*i*(pi / 2))) / (2*i))*2*(log(e^pi)))) / (2*i))^2)*(alpha + (log(e^(log(1)))))))))^2 + (e^(i*(Im(e^(i*(pi / 2))))*(tan((1 + (-2)*(sin((sin(pi / 2))*2*(log(e^pi))))^2)*(alpha + (log(e^(log(1)))))))))^4) / ((e^(i*(sin(pi / 2))*(tan((1 + (-2)*(sin((sin(pi / 2))*2*(log(e^pi))))^2)*(alpha + (log(e^(log(1)))))))))^2) + (-1)*(e^(i*(pi / 2 + (-1)*((pi / 2)^3 / (((3)!))) + (pi / 2)^5 / (((5)!)) + (-1)*((pi / 2)^7 / (((7)!))) + (O((pi / 2)^9)))*((sin((1 + (-2)*(cos(pi / 2 + (-1)*(sin(pi / 2))*2*(log(e^pi))))^2)*(alpha + (log(e^(log(1))))))) / (cos((1 + (-2)*(cos(pi / 2 + (-1)*(sin(pi / 2))*2*(log(e^pi))))^2)*(alpha + (log(e^(log(1))))))))))^2)))) + (log(1))`

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