Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`((2*(tan(((((sin(alpha)) / (cos(alpha)))^2 + ((3*(tan(alpha / 3)) + (-1)*(tan(alpha))^3) / (1 + (-1)*3*(tan(alpha))^2))^4) / ((tan(alpha))^2)) / 2))) / (1 + (tan(((((sin(alpha)) / (cos(alpha)))^2 + ((3*(tan(alpha / 3)) + (-1)*(tan(alpha))^3) / (1 + (-1)*3*(tan(alpha))^2))^4) / ((tan(alpha))^2)) / 2))^2))*(cos((-1)*(tan(alpha))^2)) + (2*(cos((((tan(alpha))^2 + ((sin(alpha)) / (cos(alpha)))^4) / ((tan(alpha))^2)) / 2))^2 + -1)*(-1)*(sin((-1)*(-1)*((sin(2*alpha))*(1 + (tan(alpha))^2 / 2))^2))`

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