Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`(log(e^((2*(tan(((2*((((3*(tan((alpha / 2) / 3)) + (-1)*(tan(alpha / 2))^3) / (1 + (-1)*3*(tan(alpha / 2))^2))^2 + (tan(alpha / 2))^4) / (((sin(alpha / 2)) / (cos(alpha / 2)))^2) + (-1)*(tan(alpha / 2))^2)) / (sqrt(((sqrt(((1 + (-1)*((e^(i*(pi / 2)) + (-1)*e^((-1)*i*(pi / 2))) / (2*i))*((3*(tan((alpha / 2 + (log(1))) / 3)) + (-1)*(tan(alpha / 2 + (log(1))))^3) / (1 + (-1)*3*(tan(alpha / 2 + (log(1))))^2)))*(sin(theta)))^2 + ((1 + (-1)*(sin(pi / 2))*((2*(tan((alpha / 2 + (log(1))) / 2))) / ((1 + (-1)*(tan((alpha / 2 + (log(1))) / 2)))^2)))*((1 + (-1)*(tan(theta))^2) / (1 + (tan(theta))^2)))^2))^2*(sin(theta)))^2 + ((sqrt(((1 + (-1)*(cos(pi / 2 + (-1)*(pi / 2)))*((3*(tan((alpha / 2 + (log(1))) / 3)) + (-1)*(tan(alpha / 2 + (log(1))))^3) / (1 + (-1)*3*(tan(alpha / 2 + (log(1))))^2)))*(sin(theta)))^2 + ((1 + (-1)*(sin(pi / 2))*((sin(alpha / 2 + (log(1)))) / (cos(alpha / 2 + (log(1))))))*(cos(theta)))^2))^2*((e^(i*theta) + e^((-1)*i*theta)) / 2))^2))) / 2))) / (1 + (tan(((2*((((3*(tan((alpha / 2) / 3)) + (-1)*(tan(alpha / 2))^3) / (1 + (-1)*3*(tan(alpha / 2))^2))^2 + (tan(alpha / 2))^4) / (((sin(alpha / 2)) / (cos(alpha / 2)))^2) + (-1)*(tan(alpha / 2))^2)) / (sqrt(((sqrt(((1 + (-1)*((e^(i*(pi / 2)) + (-1)*e^((-1)*i*(pi / 2))) / (2*i))*((3*(tan((alpha / 2 + (log(1))) / 3)) + (-1)*(tan(alpha / 2 + (log(1))))^3) / (1 + (-1)*3*(tan(alpha / 2 + (log(1))))^2)))*(sin(theta)))^2 + ((1 + (-1)*(sin(pi / 2))*((2*(tan((alpha / 2 + (log(1))) / 2))) / ((1 + (-1)*(tan((alpha / 2 + (log(1))) / 2)))^2)))*((1 + (-1)*(tan(theta))^2) / (1 + (tan(theta))^2)))^2))^2*(sin(theta)))^2 + ((sqrt(((1 + (-1)*(cos(pi / 2 + (-1)*(pi / 2)))*((3*(tan((alpha / 2 + (log(1))) / 3)) + (-1)*(tan(alpha / 2 + (log(1))))^3) / (1 + (-1)*3*(tan(alpha / 2 + (log(1))))^2)))*(sin(theta)))^2 + ((1 + (-1)*(sin(pi / 2))*((sin(alpha / 2 + (log(1)))) / (cos(alpha / 2 + (log(1))))))*(cos(theta)))^2))^2*((e^(i*theta) + e^((-1)*i*theta)) / 2))^2))) / 2))^2))))`

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