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You should simplify $g_{00}$ in the input, via

g[0,0] = (-1+B**2*  ((d_Ph_X/B**2)**2 +(d_Ph_rh/B**2)**2 +((1/rh*d_Ph_ph/B**2)**2     ))).simplify_full()

Then it works: the Christoffel symbols are displayed in 2 min on my computer.