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Integrals 1 to 51

Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 1

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

975 975 623 17768518 0 5023 0 0 0

N.S.

1 1.00 0.64 18224.12 0.00 5.15 0.00 0.00 0.00

time (sec)

N/A 25.239 6.283 3.570 0.000 1.251 0.000 0.000 0.000

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

889 889 511 17248526 0 4855 0 0 0

N.S.

1 1.00 0.57 19402.17 0.00 5.46 0.00 0.00 0.00

time (sec)

N/A 24.642 5.621 2.219 0.000 1.130 0.000 0.000 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

748 748 386 17766953 0 4793 0 0 0

N.S.

1 1.00 0.52 23752.61 0.00 6.41 0.00 0.00 0.00

time (sec)

N/A 24.326 2.571 2.790 0.000 0.903 0.000 0.000 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

676 676 329 17248163 0 4685 0 0 0

N.S.

1 1.00 0.49 25515.03 0.00 6.93 0.00 0.00 0.00

time (sec)

N/A 27.178 1.179 2.329 0.000 0.805 0.000 0.000 0.000

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

601 601 252 17767879 0 4660 0 0 0

N.S.

1 1.00 0.42 29563.86 0.00 7.75 0.00 0.00 0.00

time (sec)

N/A 23.865 0.426 1.919 0.000 0.738 0.000 0.000 0.000

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-2) B F F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

574 574 228 17248000 0 4547 0 0 0

N.S.

1 1.00 0.40 30048.78 0.00 7.92 0.00 0.00 0.00

time (sec)

N/A 23.908 0.146 1.568 0.000 0.567 0.000 0.000 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F(-2) B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

571 571 223 0 0 9103 0 0 0

N.S.

1 1.00 0.39 0.00 0.00 15.94 0.00 0.00 0.00

time (sec)

N/A 24.313 0.464 180.000 0.000 0.827 0.000 0.000 0.000

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

612 612 261 0 0 9221 0 0 0

N.S.

1 1.00 0.43 0.00 0.00 15.07 0.00 0.00 0.00

time (sec)

N/A 24.421 1.217 180.000 0.000 1.049 0.000 0.000 0.000

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

690 690 289 0 0 9425 0 0 0

N.S.

1 1.00 0.42 0.00 0.00 13.66 0.00 0.00 0.00

time (sec)

N/A 24.436 2.003 180.000 0.000 1.153 0.000 0.000 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

548 548 456 9581953 0 10457 0 0 0

N.S.

1 1.00 0.83 17485.32 0.00 19.08 0.00 0.00 0.00

time (sec)

N/A 1.203 6.140 1.652 0.000 1.201 0.000 0.000 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

495 495 283 7492392 0 10089 0 0 0

N.S.

1 1.00 0.57 15136.15 0.00 20.38 0.00 0.00 0.00

time (sec)

N/A 0.911 2.521 1.180 0.000 1.132 0.000 0.000 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

383 383 252 9581103 0 10337 0 0 0

N.S.

1 1.00 0.66 25015.93 0.00 26.99 0.00 0.00 0.00

time (sec)

N/A 0.803 0.906 1.566 0.000 1.046 0.000 0.000 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

352 352 228 7491751 0 9961 0 0 0

N.S.

1 1.00 0.65 21283.38 0.00 28.30 0.00 0.00 0.00

time (sec)

N/A 0.389 0.252 1.020 0.000 0.988 0.000 0.000 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-2) B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

294 294 173 9339203 0 5045 0 0 0

N.S.

1 1.00 0.59 31766.00 0.00 17.16 0.00 0.00 0.00

time (sec)

N/A 0.322 0.108 2.298 0.000 0.810 0.000 0.000 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-2) B F F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

298 298 173 7300729 0 4891 0 0 0

N.S.

1 1.00 0.58 24499.09 0.00 16.41 0.00 0.00 0.00

time (sec)

N/A 0.351 0.195 0.710 0.000 0.762 0.000 0.000 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

350 350 223 0 0 20605 0 0 0

N.S.

1 1.00 0.64 0.00 0.00 58.87 0.00 0.00 0.00

time (sec)

N/A 0.770 0.444 180.000 0.000 2.291 0.000 0.000 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

395 395 264 0 0 20189 0 0 0

N.S.

1 1.00 0.67 0.00 0.00 51.11 0.00 0.00 0.00

time (sec)

N/A 0.889 1.569 180.000 0.000 2.095 0.000 0.000 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

500 500 315 0 0 20910 0 0 0

N.S.

1 1.00 0.63 0.00 0.00 41.82 0.00 0.00 0.00

time (sec)

N/A 0.895 6.014 180.000 0.000 2.397 0.000 0.000 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-1) B F F(-1) F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

1190 1190 2476 13068421 0 40569 0 0 0

N.S.

1 1.00 2.08 10981.87 0.00 34.09 0.00 0.00 0.00

time (sec)

N/A 7.243 11.263 2.107 0.000 9.007 0.000 0.000 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-1) B F F(-1) F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

864 864 2272 13066870 0 39731 0 0 0

N.S.

1 1.00 2.63 15123.69 0.00 45.98 0.00 0.00 0.00

time (sec)

N/A 5.380 7.695 2.369 0.000 4.700 0.000 0.000 0.000

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-2) B F F(-1) F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

686 686 2339 13067312 0 19371 0 0 0

N.S.

1 1.00 3.41 19048.56 0.00 28.24 0.00 0.00 0.00

time (sec)

N/A 5.058 7.332 1.246 0.000 2.868 0.000 0.000 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-2) B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

638 638 328 11848772 0 19326 0 0 0

N.S.

1 1.00 0.51 18571.74 0.00 30.29 0.00 0.00 0.00

time (sec)

N/A 4.297 5.299 1.134 0.000 3.086 0.000 0.000 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F(-2) B F F(-1) F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

635 635 318 13066372 0 19368 0 0 0

N.S.

1 1.00 0.50 20576.96 0.00 30.50 0.00 0.00 0.00

time (sec)

N/A 4.300 4.802 0.882 0.000 2.909 0.000 0.000 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F(-1) B F F(-1) F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

750 750 450 0 0 78431 0 0 0

N.S.

1 1.00 0.60 0.00 0.00 104.57 0.00 0.00 0.00

time (sec)

N/A 5.146 4.901 180.000 0.000 13.499 0.000 0.000 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F(-1) B F F(-1) F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

829 829 583 0 0 78535 0 0 0

N.S.

1 1.00 0.70 0.00 0.00 94.73 0.00 0.00 0.00

time (sec)

N/A 5.485 6.235 180.000 0.000 12.458 0.000 0.000 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F(-1) F(-1) B F F(-1) F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

1007 1007 786 0 0 79389 0 0 0

N.S.

1 1.00 0.78 0.00 0.00 78.84 0.00 0.00 0.00

time (sec)

N/A 5.626 6.206 180.000 0.000 13.372 0.000 0.000 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 270 290 455 0 1405 0 0 0

N.S.

1 1.00 1.07 1.69 0.00 5.20 0.00 0.00 0.00

time (sec)

N/A 0.665 6.061 0.290 0.000 2.886 0.000 0.000 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

209 209 208 318 0 1199 0 0 0

N.S.

1 1.00 1.00 1.52 0.00 5.74 0.00 0.00 0.00

time (sec)

N/A 0.403 1.942 0.083 0.000 2.253 0.000 0.000 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 180 217 0 1057 0 0 0

N.S.

1 1.00 1.01 1.21 0.00 5.91 0.00 0.00 0.00

time (sec)

N/A 0.263 0.325 0.066 0.000 1.705 0.000 0.000 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F A F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

203 203 192 0 0 2097 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 10.33 0.00 0.00 0.00

time (sec)

N/A 0.316 1.053 0.000 0.000 0.690 0.000 0.000 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F A F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

435 435 187 0 0 1186 0 0 0

N.S.

1 1.00 0.43 0.00 0.00 2.73 0.00 0.00 0.00

time (sec)

N/A 0.658 1.418 0.000 0.000 1.776 0.000 0.000 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F F(-1) F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1254 1254 633 1945 0 0 0 0 0

N.S.

1 1.00 0.50 1.55 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.157 20.584 0.711 0.000 0.000 0.000 0.000 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F F(-1) F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

829 829 428 1497 0 0 0 0 0

N.S.

1 1.00 0.52 1.81 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.613 12.265 0.422 0.000 0.000 0.000 0.000 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F(-1) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

861 861 1258 0 0 0 0 0 0

N.S.

1 1.00 1.46 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.673 20.249 0.000 0.000 0.000 0.000 0.000 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

943 943 1590 0 0 0 0 0 0

N.S.

1 1.00 1.69 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.783 22.592 0.000 0.000 0.000 0.000 0.000 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F(-1) A F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

182 182 173 232 0 1226 0 0 0

N.S.

1 1.00 0.95 1.27 0.00 6.74 0.00 0.00 0.00

time (sec)

N/A 0.389 3.270 0.113 0.000 1.317 0.000 0.000 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 141 136 153 0 993 0 0 0

N.S.

1 1.00 0.96 1.09 0.00 7.04 0.00 0.00 0.00

time (sec)

N/A 0.234 0.278 0.075 0.000 1.094 0.000 0.000 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 79 79 102 0 299 0 0 0

N.S.

1 1.00 1.00 1.29 0.00 3.78 0.00 0.00 0.00

time (sec)

N/A 0.136 0.129 0.220 0.000 0.478 0.000 0.000 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F A F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

142 142 139 0 0 1015 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 7.15 0.00 0.00 0.00

time (sec)

N/A 0.267 0.965 0.000 0.000 0.962 0.000 0.000 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F(-1) A F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

249 249 188 0 0 1350 0 0 0

N.S.

1 1.00 0.76 0.00 0.00 5.42 0.00 0.00 0.00

time (sec)

N/A 0.372 4.422 0.000 0.000 1.291 0.000 0.000 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F F F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

662 662 533 646 0 0 0 0 0

N.S.

1 1.00 0.81 0.98 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.473 16.753 0.791 0.000 0.000 0.000 0.000 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F F F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

436 436 311 402 0 0 0 0 0

N.S.

1 1.00 0.71 0.92 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.409 4.111 0.612 0.000 0.000 0.000 0.000 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F F(-1) F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

436 436 235 231 0 0 0 0 0

N.S.

1 1.00 0.54 0.53 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.386 11.113 0.446 0.000 0.000 0.000 0.000 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F(-1) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

707 707 683 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.819 22.211 0.000 0.000 0.000 0.000 0.000 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F(-2) B F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

235 235 274 684 0 3773 0 0 0

N.S.

1 1.00 1.17 2.91 0.00 16.06 0.00 0.00 0.00

time (sec)

N/A 0.691 7.138 0.520 0.000 2.487 0.000 0.000 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 159 206 509 0 1095 0 0 0

N.S.

1 1.00 1.30 3.20 0.00 6.89 0.00 0.00 0.00

time (sec)

N/A 0.490 4.898 0.099 0.000 0.651 0.000 0.000 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 154 155 456 0 1077 0 0 0

N.S.

1 1.00 1.01 2.96 0.00 6.99 0.00 0.00 0.00

time (sec)

N/A 0.351 3.167 0.089 0.000 0.627 0.000 0.000 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 155 156 406 0 1099 0 0 0

N.S.

1 1.00 1.01 2.62 0.00 7.09 0.00 0.00 0.00

time (sec)

N/A 0.291 3.203 0.061 0.000 0.656 0.000 0.000 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F(-2) B F F(-1) F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

280 280 278 0 0 3951 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 14.11 0.00 0.00 0.00

time (sec)

N/A 0.484 3.888 0.000 0.000 2.617 0.000 0.000 0.000

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F(-1) B F F(-1) F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

477 477 555 0 0 5189 0 0 0

N.S.

1 1.00 1.16 0.00 0.00 10.88 0.00 0.00 0.00

time (sec)

N/A 0.646 6.096 0.000 0.000 3.268 0.000 0.000 0.000

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F F(-1) F F(-1) F(-1)

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

981 981 831 3598 0 0 0 0 0

N.S.

1 1.00 0.85 3.67 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.937 19.767 0.603 0.000 0.000 0.000 0.000 0.000

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