What does the hypothesis function for a simple neural network (MLP with logistic activation, single output) look like in simplified form?

Question

Neural networks are normally displayed in 'computational graph' form, because it's a more logical and simple display. But there's no reason we couldn't write it in standard, simplified form. Even though it would be ugly, what does the function look like in simplified form (say 3 inputs, 2 hidden layers of 3 inputs each, logistic activation, 1 output). Weights can be marked as $w_1,w_2,w_3$, etc. So $$f(x_1,x_2,x_3) = …$$