Slog(Exponential Factorial(x))

[Catullus]

Please let \(x\Lambda^\uparrow\) represent the Hyper Bouncing Factorial of x, defined as the Bouncing Factorial of x, but instead of starting at 1, you start at 2 and you replace the multiplication in the definition with exponentiation.
What would happen if you did \(\text{slog}(x\Lambda^\uparrow)\)?