closed form vs. log form: max relative difference 5.08e-50
integer grid N=24, A=2000: 34012224 configurations, 41472 trivial splits (equality), 546048 with RHS = 0; min delta over the others = 7.144439e-03 at (x1,x0,y1,y0,z1,z0) = (1, 4, 1, 4, 14, 9)  [38s]
integer grid N=24, A=30: 34012224 configurations, 41472 trivial splits (equality), 546048 with RHS = 0; min delta over the others = 7.630646e-04 at (x1,x0,y1,y0,z1,z0) = (1, 4, 1, 4, 12, 8)  [75s]
integer grid N=24, A=inf: 34012224 configurations, 41472 trivial splits (equality), 546048 with RHS = 0; min delta over the others = 7.258190e-03 at (x1,x0,y1,y0,z1,z0) = (1, 4, 1, 4, 14, 9)  [112s]
random 'generic', A=2000: 214515 samples (+185485 with RHS = 0), min delta = 1.0210e-03, min s^2 delta (s >= 10) = 0.9762, min delta/dist(u, trivial) = 0.0008  [122s]
random 'balanced', A=2000: 368294 samples (+31706 with RHS = 0), min delta = 2.3293e-09, min s^2 delta (s >= 10) = 0.9811, min delta/dist(u, trivial) = 0.0000  [139s]
random 'faces', A=2000: 68463 samples (+331537 with RHS = 0), min delta = 2.4560e-12, min s^2 delta (s >= 10) = 0.0000, min delta/dist(u, trivial) = 0.0100  [143s]
random 'near_trivial', A=2000: 384027 samples (+15973 with RHS = 0), min delta = 1.6409e-10, min s^2 delta (s >= 10) = 0.0000, min delta/dist(u, trivial) = 0.0219  [157s]
random 'child_boundary', A=2000: 399707 samples (+293 with RHS = 0), min delta = 6.6370e-04, min s^2 delta (s >= 10) = 1.0359, min delta/dist(u, trivial) = 0.0051  [173s]
random 'generic', A=30: 214515 samples (+185485 with RHS = 0), min delta = 4.9185e-04, min s^2 delta (s >= 10) = 0.2576, min delta/dist(u, trivial) = 0.0004  [183s]
random 'balanced', A=30: 368294 samples (+31706 with RHS = 0), min delta = 6.3595e-10, min s^2 delta (s >= 10) = 0.1808, min delta/dist(u, trivial) = 0.0000  [199s]
random 'faces', A=30: 68463 samples (+331537 with RHS = 0), min delta = 2.4389e-12, min s^2 delta (s >= 10) = 0.0000, min delta/dist(u, trivial) = 0.0086  [204s]
random 'near_trivial', A=30: 384027 samples (+15973 with RHS = 0), min delta = 1.6376e-10, min s^2 delta (s >= 10) = 0.0000, min delta/dist(u, trivial) = 0.0167  [218s]
random 'child_boundary', A=30: 399707 samples (+293 with RHS = 0), min delta = 6.6231e-04, min s^2 delta (s >= 10) = 0.4253, min delta/dist(u, trivial) = 0.0016  [233s]
random 'generic', A=inf: 214515 samples (+185485 with RHS = 0), min delta = 1.1291e-03, min s^2 delta (s >= 10) = 0.9901, min delta/dist(u, trivial) = 0.0009  [241s]
random 'balanced', A=inf: 368294 samples (+31706 with RHS = 0), min delta = 2.6906e-07, min s^2 delta (s >= 10) = 0.9941, min delta/dist(u, trivial) = 0.0000  [255s]
random 'faces', A=inf: 68463 samples (+331537 with RHS = 0), min delta = 2.4563e-12, min s^2 delta (s >= 10) = 0.0000, min delta/dist(u, trivial) = 0.0101  [258s]
random 'near_trivial', A=inf: 384027 samples (+15973 with RHS = 0), min delta = 1.6417e-10, min s^2 delta (s >= 10) = 0.0000, min delta/dist(u, trivial) = 0.0221  [270s]
random 'child_boundary', A=inf: 399707 samples (+293 with RHS = 0), min delta = 6.6436e-04, min s^2 delta (s >= 10) = 1.0480, min delta/dist(u, trivial) = 0.0052  [283s]
worst case s=10, A=2000: min s^2 delta = 0.68673 (xi = -0.469,0.271; u = 0.1999, 0.6045, 0.1999)
worst case s=30, A=2000: min s^2 delta = 3.77915 (xi = -0.696,-0.402; u = 0.1798, 0.4209, 0.4209)
worst case s=100, A=2000: min s^2 delta = 18.89189 (xi = 0.646,-0.373; u = 0.3943, 0.2207, 0.3943)
worst case s=300, A=2000: min s^2 delta = 61.57135 (xi = -0.603,-0.348; u = 0.2596, 0.3721, 0.3721)
worst case s=1000, A=2000: min s^2 delta = 167.79406 (xi = 0.000,0.659; u = 0.3552, 0.3552, 0.2909)
worst case s=10000, A=2000: min s^2 delta = 429.84473 (xi = 0.538,-0.310; u = 0.3402, 0.3197, 0.3402)
worst case s=100000, A=2000: min s^2 delta = 506.92956 (xi = 0.000,0.609; u = 0.3355, 0.3355, 0.3290)
worst case s=1e+06, A=2000: min s^2 delta = 516.17806 (xi = -0.000,0.606; u = 0.3340, 0.3340, 0.3320)
worst case s=10, A=30: min s^2 delta = 0.10451 (xi = -0.450,0.260; u = 0.2101, 0.5856, 0.2101)
worst case s=30, A=30: min s^2 delta = 0.07581 (xi = -0.683,-0.394; u = 0.1823, 0.4198, 0.4198)
worst case s=100, A=30: min s^2 delta = 0.30940 (xi = -0.631,-0.364; u = 0.2230, 0.3932, 0.3932)
worst case s=300, A=30: min s^2 delta = 0.85705 (xi = 0.000,0.678; u = 0.3712, 0.3712, 0.2614)
worst case s=1000, A=30: min s^2 delta = 1.32637 (xi = -0.558,-0.322; u = 0.2918, 0.3547, 0.3547)
worst case s=10000, A=30: min s^2 delta = 1.69527 (xi = 0.534,-0.308; u = 0.3401, 0.3198, 0.3401)
worst case s=100000, A=30: min s^2 delta = 1.79453 (xi = 0.527,-0.304; u = 0.3355, 0.3290, 0.3355)
worst case s=1e+06, A=30: min s^2 delta = 1.82352 (xi = -0.525,-0.303; u = 0.3320, 0.3340, 0.3340)
worst case s=10, A=25: min s^2 delta = 0.01235 (xi = 0.503,-0.290; u = 0.4452, 0.1599, 0.4452)
worst case s=30, A=25: min s^2 delta = -0.27757 (xi = -0.000,0.787; u = 0.4197, 0.4197, 0.1826)
worst case s=100, A=25: min s^2 delta = -0.48919 (xi = 0.630,-0.364; u = 0.3931, 0.2231, 0.3931)
worst case s=300, A=25: min s^2 delta = -0.23653 (xi = 0.000,0.677; u = 0.3712, 0.3712, 0.2614)
worst case s=1000, A=25: min s^2 delta = 0.08892 (xi = -0.557,-0.322; u = 0.2918, 0.3547, 0.3547)
worst case s=10000, A=25: min s^2 delta = 0.39449 (xi = -0.000,0.617; u = 0.3401, 0.3401, 0.3198)
worst case s=100000, A=25: min s^2 delta = 0.48715 (xi = 0.000,0.609; u = 0.3355, 0.3355, 0.3290)
worst case s=1e+06, A=25: min s^2 delta = 0.51547 (xi = 0.000,0.606; u = 0.3340, 0.3340, 0.3320)
worst case s=10, A=22: min s^2 delta = -0.05789 (xi = 0.504,-0.291; u = 0.4451, 0.1601, 0.4451)
worst case s=30, A=22: min s^2 delta = -0.52289 (xi = 0.680,-0.393; u = 0.4197, 0.1827, 0.4197)
worst case s=100, A=22: min s^2 delta = -1.00003 (xi = 0.630,-0.364; u = 0.3931, 0.2232, 0.3931)
worst case s=300, A=22: min s^2 delta = -0.90903 (xi = 0.000,0.677; u = 0.3712, 0.3712, 0.2614)
worst case s=1000, A=22: min s^2 delta = -0.65937 (xi = 0.557,-0.322; u = 0.3547, 0.2918, 0.3547)
worst case s=10000, A=22: min s^2 delta = -0.38660 (xi = -0.000,0.617; u = 0.3401, 0.3401, 0.3198)
worst case s=100000, A=22: min s^2 delta = -0.29735 (xi = 0.000,0.609; u = 0.3355, 0.3355, 0.3290)
worst case s=1e+06, A=22: min s^2 delta = -0.26937 (xi = -0.525,-0.303; u = 0.3320, 0.3340, 0.3340)
threshold scan A=25: min over s of the worst-case s^2 delta = -0.48933 at s = 70
threshold scan A=26: min over s of the worst-case s^2 delta = -0.34999 at s = 70
threshold scan A=26.5: min over s of the worst-case s^2 delta = -0.28142 at s = 70
threshold scan A=27: min over s of the worst-case s^2 delta = -0.21356 at s = 70
threshold scan A=27.5: min over s of the worst-case s^2 delta = -0.15643 at s = 50
threshold scan A=28: min over s of the worst-case s^2 delta = -0.10287 at s = 50
threshold scan A=28.5: min over s of the worst-case s^2 delta = -0.05000 at s = 50
threshold scan A=29: min over s of the worst-case s^2 delta = 0.00219 at s = 50
threshold scan A=30: min over s of the worst-case s^2 delta = 0.03966 at s = 7
total 386s; results in results/numerics.json
