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0.999  0  30.0092871832121
1.  0  30.039460777744218
]

s_grid = range(0,1,length=1001)
# A and B are interpolated functions of the raw schedules
A = construct_interpolations(s_grid, raw_schedule[:,2])
B = construct_interpolations(s_grid, raw_schedule[:,3])
dA(s) = gradient(A, s)
dB(s) = gradient(B, s)