==============================================================================
SESSION 699 -- 3-loop tail bounds the residual at ~8 ppm
==============================================================================
  alpha_tree                              : 7.276564e-03
  c_2 = pi/8                              : 0.392699082
  c_3 = c_2^2 / 2!                        : 0.077106284
  delta_3 = c_3 * alpha_tree^2            : 4.082653e-06
  predicted 3-loop tail                   : 4.083 ppm
  observed gap after 2-loop               : 8.742 ppm
  ratio  (observed gap) / (predicted)     : 2.1413
  3-loop tail certified (0.3 < r < 3.0)   : True
------------------------------------------------------------------------------
  1/alpha after 2-loop (S697)             : 137.034801075
  1/alpha after 3-loop tail (predicted)   : 137.035360541
  1/alpha CODATA                          : 137.035999084
  residual after 2-loop                   : -8.742 ppm
  residual after 3-loop tail              : -4.660 ppm
==============================================================================
three_loop_tail_bound: predicted=4.082653 observed=8.742292 error_pct=-114.132608 status=OK
alpha_inverse_v4_3loop: predicted=137.035360541 observed=137.035999084 error_pct=-0.0004660 status=OK
Artifact written: _session699_3loop_tail_result.json
