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DenseResults.txt
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Testing linear differential equation (no traces, final state error):
acc Goal=0.001 : err=7.14899e-06, numEvals=6, numMatExp=12
acc Goal=0.0001 : err=2.37391e-06, numEvals=6, numMatExp=12
acc Goal=1e-05 : err=2.07431e-07, numEvals=6, numMatExp=12
acc Goal=1e-06 : err=1.92516e-08, numEvals=6, numMatExp=16
acc Goal=1e-07 : err=1.47674e-09, numEvals=6, numMatExp=16
acc Goal=1e-08 : err=7.82678e-11, numEvals=6, numMatExp=16
acc Goal=1e-09 : err=5.91549e-12, numEvals=6, numMatExp=16
acc Goal=1e-10 : err=6.36569e-13, numEvals=6, numMatExp=16
acc Goal=1e-11 : err=1.18134e-13, numEvals=6, numMatExp=16
acc Goal=1e-12 : err=8.02418e-14, numEvals=6, numMatExp=16
Err ~ 9.75115e-07
Err ~ 9.75115e-07
Testing linear differential equation (with trace error):
acc Goal=0.001 : err=4.23272e-06, numEvals=308, numMatExp=409
acc Goal=0.0001 : err=2.66109e-07, numEvals=308, numMatExp=409
acc Goal=1e-05 : err=1.52072e-08, numEvals=308, numMatExp=409
acc Goal=1e-06 : err=7.96598e-10, numEvals=308, numMatExp=409
acc Goal=1e-07 : err=3.84104e-11, numEvals=308, numMatExp=409
acc Goal=1e-08 : err=3.84104e-11, numEvals=308, numMatExp=409
acc Goal=1e-09 : err=1.64169e-12, numEvals=310, numMatExp=413
acc Goal=1e-10 : err=1.82132e-13, numEvals=310, numMatExp=413
acc Goal=1e-11 : err=1.21979e-13, numEvals=310, numMatExp=413
acc Goal=1e-12 : err=1.23588e-13, numEvals=310, numMatExp=413
Err ~ (numEvals/304.187)^-1531.08
Err ~ (numMatrixExp/304.187)^-1531.08
Testing non-linear differential equation (no traces, final state error):
acc Goal=0.001 : err=0.00160314, numEvals=32, numMatExp=57
acc Goal=0.0001 : err=0.000132778, numEvals=56, numMatExp=95
acc Goal=1e-05 : err=1.55379e-05, numEvals=106, numMatExp=169
acc Goal=1e-06 : err=1.81312e-06, numEvals=202, numMatExp=309
acc Goal=1e-07 : err=1.28834e-07, numEvals=394, numMatExp=593
acc Goal=1e-08 : err=7.27028e-09, numEvals=766, numMatExp=1153
acc Goal=1e-09 : err=4.57662e-10, numEvals=1482, numMatExp=2225
acc Goal=1e-10 : err=3.18073e-11, numEvals=2862, numMatExp=4295
acc Goal=1e-11 : err=2.10565e-12, numEvals=5534, numMatExp=8311
acc Goal=1e-12 : err=1.08691e-13, numEvals=10684, numMatExp=16035
Err ~ (numEvals/6.69679)^-3.99534
Err ~ (numMatrixExp/6.69679)^-3.99534
Testing non-linear differential equation: (with trace error)
acc Goal=0.001 : err=6.54061e-07, numEvals=212, numMatExp=281
acc Goal=0.0001 : err=1.19124e-07, numEvals=232, numMatExp=303
acc Goal=1e-05 : err=1.19062e-07, numEvals=298, numMatExp=369
acc Goal=1e-06 : err=8.16166e-08, numEvals=410, numMatExp=525
acc Goal=1e-07 : err=1.74011e-08, numEvals=616, numMatExp=823
acc Goal=1e-08 : err=4.23725e-09, numEvals=980, numMatExp=1365
acc Goal=1e-09 : err=3.44347e-10, numEvals=1680, numMatExp=2415
acc Goal=1e-10 : err=3.4841e-11, numEvals=3104, numMatExp=4553
acc Goal=1e-11 : err=3.11795e-12, numEvals=5756, numMatExp=8535
acc Goal=1e-12 : err=2.53464e-13, numEvals=10918, numMatExp=16275
Err ~ (numEvals/3.83494)^-3.60087
Err ~ (numMatrixExp/3.83494)^-3.60087
Testing stiff non-linear differential equation (no traces, final state error):
acc Goal=0.001 : err=3.98909e-05, numEvals=3250, numMatExp=5156
acc Goal=0.0001 : err=3.04842e-06, numEvals=6376, numMatExp=10253
acc Goal=1e-05 : err=2.60034e-07, numEvals=11938, numMatExp=18627
acc Goal=1e-06 : err=1.8592e-08, numEvals=22644, numMatExp=34331
acc Goal=1e-07 : err=1.10088e-09, numEvals=43611, numMatExp=65488
acc Goal=1e-08 : err=5.47218e-11, numEvals=84327, numMatExp=126494
acc Goal=1e-09 : err=3.53447e-12, numEvals=162943, numMatExp=244416
acc Goal=1e-10 : err=2.48811e-13, numEvals=314675, numMatExp=472012
acc Goal=1e-11 : err=1.32405e-12, numEvals=607591, numMatExp=911386
acc Goal=1e-12 : err=1.52451e-13, numEvals=1172971, numMatExp=1759456
Err ~ (numEvals/136.374)^-3.47545
Err ~ (numMatrixExp/136.374)^-3.47545
Testing stiff non-linear differential equation (with trace error):
acc Goal=0.001 : err=1.44301e-05, numEvals=3739, numMatExp=5676
acc Goal=0.0001 : err=2.57044e-06, numEvals=6847, numMatExp=10528
acc Goal=1e-05 : err=3.17283e-07, numEvals=12507, numMatExp=19058
acc Goal=1e-06 : err=1.94186e-08, numEvals=23267, numMatExp=35004
acc Goal=1e-07 : err=1.67918e-09, numEvals=44119, numMatExp=66076
acc Goal=1e-08 : err=8.26129e-11, numEvals=84547, numMatExp=126670
acc Goal=1e-09 : err=4.94704e-12, numEvals=162467, numMatExp=243550
acc Goal=1e-10 : err=1.64517e-12, numEvals=312739, numMatExp=468958
acc Goal=1e-11 : err=2.27929e-12, numEvals=602863, numMatExp=904144
acc Goal=1e-12 : err=1.55206e-12, numEvals=1162771, numMatExp=1744006
Err ~ (numEvals/82.7036)^-3.12418
Err ~ (numMatrixExp/82.7036)^-3.12418
Total elapsed time: 48.867260s