  We study the conformal bootstrap of 1D CFTs on the straight Maldacena-Wilson
line in 4D ${\cal N}=4$ super-Yang-Mills theory. We introduce an improved
truncation scheme with an 'OPE tail' approximation and use it to reproduce the
'bootstrability' results of Cavagli\`a et al. for the OPE-coefficients squared
of the first three unprotected operators. For example, for the first
OPE-coefficient squared at 't Hooft coupling $(4\pi)^2$, linear-functional
methods with two sum rules from integrated correlators give the rigorous result
$0.294014873 \pm 4.88 \cdot 10^{-8}$, whereas our methods give with
machine-precision computations $0.294014228 \pm 6.77 \cdot 10^{-7}$. For our
numerical searches, we benchmark the Reinforcement Learning Soft Actor-Critic
algorithm against an Interior Point Method algorithm (IPOPT) and comment on the
merits of each algorithm.
