In a general sense, this result seems to accurately describe the true opioid epidemic. The opioid-related overdose rate has increased near linearly over the past twenty years, and continues to increase despite decreased prescription rates in recent years.
We also examined the step-size used by Adam's method at each time step. Unsurprisingly, the step size is lowest at the beginning time steps, when the derivatives are changing rapidly. As time goes on and the system moves toward equilibrium, the step sizes tend to be larger.