J = E[G]                 : 0.7729
b* (formula)             : 0.7636
b* (numerical minimizer) : 0.7636

    baseline    formula  Monte Carlo
           0     3.4782       3.4752
           J     3.0491       3.0463
          b*     3.0490       3.0463

exact gradient   : [-0.44    0.136   0.482  -0.0498 -0.1282]
estimate (b = 0) : [-0.4403  0.1357  0.4824 -0.0494 -0.1284]
estimate (b = b*): [-0.4403  0.1356  0.4821 -0.0495 -0.128 ]
