trial  0 N=3: D_1 exact 0.284822 numeric 0.284816 | ||H-PH|| exact 0.242667 numeric 0.242667 | dev 5.3e-06
trial  1 N=2: D_1 exact 0.320000 numeric 0.320014 | ||H-PH|| exact 0.222667 numeric 0.222681 | dev 1.4e-05
trial  2 N=5: D_1 exact 0.033333 numeric 0.033343 | ||H-PH|| exact 0.033333 numeric 0.033333 | dev 1.0e-05
trial  3 N=4: D_1 exact 0.110163 numeric 0.110161 | ||H-PH|| exact 0.070193 numeric 0.070192 | dev 2.8e-06
trial  4 N=3: D_1 exact 0.111111 numeric 0.111105 | ||H-PH|| exact 0.000000 numeric 0.000000 | dev 6.1e-06
trial  5 N=3: D_1 exact 0.284722 numeric 0.284716 | ||H-PH|| exact 0.277778 numeric 0.277775 | dev 6.6e-06
trial  6 N=5: D_1 exact 0.033333 numeric 0.033343 | ||H-PH|| exact 0.033333 numeric 0.033333 | dev 1.0e-05
trial  7 N=3: D_1 exact 0.158238 numeric 0.158225 | ||H-PH|| exact 0.128143 numeric 0.128141 | dev 1.3e-05
max deviation exact vs midpoint(K=3000): 1.45e-05  (midpoint error is O(1/K) for these discontinuous integrands)
RESULT: AGREE
