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2.2.17 Integrals 1601 to 1700

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 1601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

109 0 109 130 0 323 0 0 0

N.S.

1 0.00 1.00 1.19 0.00 2.96 0.00 0.00 0.00

time (sec)

N/A 0.000 8.033 35.419 0.000 219.358 0.000 0.000 0.000

Problem 1602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

109 0 113 0 0 96 0 0 0

N.S.

1 0.00 1.04 0.00 0.00 0.88 0.00 0.00 0.00

time (sec)

N/A 0.000 2.393 0.000 0.000 0.265 0.000 0.000 0.000

Problem 1603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

109 0 106 0 0 96 0 0 0

N.S.

1 0.00 0.97 0.00 0.00 0.88 0.00 0.00 0.00

time (sec)

N/A 0.000 2.130 0.000 0.000 0.265 0.000 0.000 0.000

Problem 1604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

109 0 77 29 0 239 42 0 0

N.S.

1 0.00 0.71 0.27 0.00 2.19 0.39 0.00 0.00

time (sec)

N/A 0.000 0.139 0.033 0.000 26.269 0.488 0.000 0.000

Problem 1605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

109 0 109 189 0 93 1100 0 0

N.S.

1 0.00 1.00 1.73 0.00 0.85 10.09 0.00 0.00

time (sec)

N/A 0.000 0.153 0.158 0.000 0.290 4.281 0.000 0.000

Problem 1606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 107 667 0 117 0 0 0

N.S.

1 0.00 0.97 6.06 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 0.000 15.265 1.088 0.000 0.463 0.000 0.000 0.000

Problem 1607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 107 656 0 117 0 0 0

N.S.

1 0.00 0.97 5.96 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 0.000 15.254 1.302 0.000 0.478 0.000 0.000 0.000

Problem 1608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

110 107 138 27 0 113 0 74 0

N.S.

1 0.97 1.25 0.25 0.00 1.03 0.00 0.67 0.00

time (sec)

N/A 0.205 0.196 0.393 0.000 0.254 0.000 0.281 0.000

Problem 1609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 106 110 119 0 136 0 0 0

N.S.

1 0.96 1.00 1.08 0.00 1.24 0.00 0.00 0.00

time (sec)

N/A 0.274 0.204 2.640 0.000 0.532 0.000 0.000 0.000

Problem 1610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 528 104 0 0 0 0 0 0

N.S.

1 4.80 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.142 0.272 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

110 114 122 94 0 233 0 101 0

N.S.

1 1.04 1.11 0.85 0.00 2.12 0.00 0.92 0.00

time (sec)

N/A 0.314 0.567 1.263 0.000 1.039 0.000 0.357 0.000

Problem 1612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 97 106 17 121 100 31 0 0

N.S.

1 0.88 0.96 0.15 1.10 0.91 0.28 0.00 0.00

time (sec)

N/A 0.202 0.631 1.809 0.273 0.268 1.197 0.000 0.000

Problem 1613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 281 110 83 25 0 27 25 25

N.S.

1 2.55 1.00 0.75 0.23 0.00 0.25 0.23 0.23

time (sec)

N/A 0.759 0.207 196.124 0.315 0.000 6.015 0.294 5.938

Problem 1614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 281 110 83 25 0 27 25 25

N.S.

1 2.55 1.00 0.75 0.23 0.00 0.25 0.23 0.23

time (sec)

N/A 0.648 0.001 183.590 0.304 0.000 5.880 0.292 0.002

Problem 1615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 167 83 119 0 0 0 212 77

N.S.

1 1.52 0.75 1.08 0.00 0.00 0.00 1.93 0.70

time (sec)

N/A 0.398 10.049 0.383 0.000 0.000 0.000 0.299 5.906

Problem 1616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 167 138 117 0 0 0 209 71

N.S.

1 1.52 1.25 1.06 0.00 0.00 0.00 1.90 0.65

time (sec)

N/A 0.394 10.104 0.364 0.000 0.000 0.000 0.309 6.218

Problem 1617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 167 138 117 0 0 0 209 71

N.S.

1 1.52 1.25 1.06 0.00 0.00 0.00 1.90 0.65

time (sec)

N/A 0.371 10.077 0.336 0.000 0.000 0.000 0.293 5.812

Problem 1618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 0 137 0 0 0 0 0

N.S.

1 0.00 0.00 1.25 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.000 1.093 0.000 0.000 0.000 0.000 0.000

Problem 1619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 147 97 33 0 27 33 33

N.S.

1 0.00 1.34 0.88 0.30 0.00 0.25 0.30 0.30

time (sec)

N/A 0.000 0.749 0.898 0.225 0.000 6.532 0.734 5.617

Problem 1620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 147 97 33 0 27 33 33

N.S.

1 0.00 1.34 0.88 0.30 0.00 0.25 0.30 0.30

time (sec)

N/A 0.000 0.001 0.444 0.225 0.000 6.471 0.730 0.002

Problem 1621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 73 152 0 146 0 0 0

N.S.

1 0.00 0.66 1.38 0.00 1.33 0.00 0.00 0.00

time (sec)

N/A 0.000 0.830 2.398 0.000 0.396 0.000 0.000 0.000

Problem 1622

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A N/A N/A C N/A N/A N/A

verified

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

size

110 285 100 112 30 1308 24 30 30

N.S.

1 2.59 0.91 1.02 0.27 11.89 0.22 0.27 0.27

time (sec)

N/A 0.829 0.981 0.292 0.260 0.312 15.039 0.321 5.662

Problem 1623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A N/A N/A C N/A N/A N/A

verified

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

size

110 285 100 112 30 1308 24 30 30

N.S.

1 2.59 0.91 1.02 0.27 11.89 0.22 0.27 0.27

time (sec)

N/A 0.666 0.001 0.224 0.257 0.278 15.514 0.304 0.002

Problem 1624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 0 92 0 743 0 0 0

N.S.

1 0.00 0.00 0.84 0.00 6.75 0.00 0.00 0.00

time (sec)

N/A 0.000 0.000 6.708 0.000 0.487 0.000 0.000 0.000

Problem 1625

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 107 84 298 0 87 0 188 0

N.S.

1 0.97 0.76 2.71 0.00 0.79 0.00 1.71 0.00

time (sec)

N/A 0.563 0.175 0.117 0.000 1.578 0.000 0.518 0.000

Problem 1626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 96 84 170 0 74 0 86 0

N.S.

1 0.87 0.76 1.55 0.00 0.67 0.00 0.78 0.00

time (sec)

N/A 0.496 0.101 0.109 0.000 1.666 0.000 0.508 0.000

Problem 1627

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 92 89 71 0 0 122 74 0

N.S.

1 0.84 0.81 0.65 0.00 0.00 1.11 0.67 0.00

time (sec)

N/A 0.365 0.136 0.150 0.000 0.000 0.449 0.605 0.000

Problem 1628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 118 107 106 125 392 126 100 279

N.S.

1 1.07 0.97 0.96 1.14 3.56 1.15 0.91 2.54

time (sec)

N/A 0.737 0.118 0.137 0.178 0.269 5.223 0.273 5.839

Problem 1629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 78 31 0 213 48 0 0

N.S.

1 0.00 0.71 0.28 0.00 1.94 0.44 0.00 0.00

time (sec)

N/A 0.000 0.123 0.034 0.000 22.886 0.580 0.000 0.000

Problem 1630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

110 0 124 0 0 71 0 0 0

N.S.

1 0.00 1.13 0.00 0.00 0.65 0.00 0.00 0.00

time (sec)

N/A 0.000 3.232 0.000 0.000 0.291 0.000 0.000 0.000

Problem 1631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

110 73 105 0 0 66 0 0 0

N.S.

1 0.66 0.95 0.00 0.00 0.60 0.00 0.00 0.00

time (sec)

N/A 0.284 0.147 0.000 0.000 0.273 0.000 0.000 0.000

Problem 1632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 111 307 0 107 0 0 0

N.S.

1 0.00 1.00 2.77 0.00 0.96 0.00 0.00 0.00

time (sec)

N/A 0.000 0.100 1.175 0.000 0.679 0.000 0.000 0.000

Problem 1633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 90 105 0 0 0 0 0

N.S.

1 0.00 0.81 0.95 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 13.284 1.128 0.000 0.000 0.000 0.000 0.000

Problem 1634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A C F B F F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

111 412 106 584 0 373 0 0 509

N.S.

1 3.71 0.95 5.26 0.00 3.36 0.00 0.00 4.59

time (sec)

N/A 1.085 1.149 3.814 0.000 0.306 0.000 0.000 0.222

Problem 1635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F A F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

111 155 129 42 0 119 0 74 44

N.S.

1 1.40 1.16 0.38 0.00 1.07 0.00 0.67 0.40

time (sec)

N/A 0.292 0.189 0.363 0.000 0.288 0.000 0.299 5.869

Problem 1636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F A F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

111 107 138 42 0 119 0 74 44

N.S.

1 0.96 1.24 0.38 0.00 1.07 0.00 0.67 0.40

time (sec)

N/A 0.222 0.176 0.330 0.000 0.262 0.000 0.282 5.536

Problem 1637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 123 146 15 0 108 0 79 0

N.S.

1 1.11 1.32 0.14 0.00 0.97 0.00 0.71 0.00

time (sec)

N/A 0.240 0.233 0.384 0.000 0.253 0.000 0.299 0.000

Problem 1638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 212 0 0 0 0 0 0

N.S.

1 0.00 1.91 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 43.697 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 0 0 0 0 0 312 0

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 2.81 0.00

time (sec)

N/A 0.000 0.000 0.000 0.000 0.000 0.000 0.400 0.000

Problem 1640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 104 111 119 0 133 0 0 0

N.S.

1 0.94 1.00 1.07 0.00 1.20 0.00 0.00 0.00

time (sec)

N/A 0.246 0.243 2.480 0.000 0.621 0.000 0.000 0.000

Problem 1641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 66 97 0 0 0 0 0

N.S.

1 0.00 0.59 0.87 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 11.946 0.946 0.000 0.000 0.000 0.000 0.000

Problem 1642

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 155 139 122 0 622 0 257 0

N.S.

1 1.40 1.25 1.10 0.00 5.60 0.00 2.32 0.00

time (sec)

N/A 0.340 0.461 0.454 0.000 0.317 0.000 0.306 0.000

Problem 1643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 111 104 0 136 0 0 0

N.S.

1 0.00 1.00 0.94 0.00 1.23 0.00 0.00 0.00

time (sec)

N/A 0.000 1.266 6.138 0.000 3.646 0.000 0.000 0.000

Problem 1644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 107 110 0 141 0 0 0

N.S.

1 0.00 0.96 0.99 0.00 1.27 0.00 0.00 0.00

time (sec)

N/A 0.000 1.374 5.631 0.000 4.886 0.000 0.000 0.000

Problem 1645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

111 86 107 58 93 116 167 0 0

N.S.

1 0.77 0.96 0.52 0.84 1.05 1.50 0.00 0.00

time (sec)

N/A 0.216 0.426 3.513 0.269 0.430 1.784 0.000 0.000

Problem 1646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 148 98 33 0 27 33 36

N.S.

1 0.00 1.33 0.88 0.30 0.00 0.24 0.30 0.32

time (sec)

N/A 0.000 0.784 0.736 0.223 0.000 4.474 0.729 5.638

Problem 1647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 0 148 98 33 0 27 33 36

N.S.

1 0.00 1.33 0.88 0.30 0.00 0.24 0.30 0.32

time (sec)

N/A 0.000 0.001 0.463 0.218 0.000 4.533 0.732 0.003

Problem 1648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

111 88 75 639 0 666 0 0 0

N.S.

1 0.79 0.68 5.76 0.00 6.00 0.00 0.00 0.00

time (sec)

N/A 0.312 0.219 8.050 0.000 2.887 0.000 0.000 0.000

Problem 1649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 128 102 160 162 84 187 160 0

N.S.

1 1.15 0.92 1.44 1.46 0.76 1.68 1.44 0.00

time (sec)

N/A 0.681 0.108 0.263 0.190 0.277 0.664 0.267 0.000

Problem 1650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

111 91 90 0 0 68 0 0 0

N.S.

1 0.82 0.81 0.00 0.00 0.61 0.00 0.00 0.00

time (sec)

N/A 0.483 0.137 0.000 0.000 0.253 0.000 0.000 0.000

Problem 1651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

112 118 153 33 0 107 0 89 0

N.S.

1 1.05 1.37 0.29 0.00 0.96 0.00 0.79 0.00

time (sec)

N/A 0.284 0.704 1.707 0.000 0.363 0.000 0.283 0.000

Problem 1652

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

112 154 183 17 0 108 0 97 0

N.S.

1 1.38 1.63 0.15 0.00 0.96 0.00 0.87 0.00

time (sec)

N/A 0.345 3.226 1.951 0.000 0.398 0.000 0.276 0.000

Problem 1653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C C F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

112 153 107 110 148 279 61 0 72

N.S.

1 1.37 0.96 0.98 1.32 2.49 0.54 0.00 0.64

time (sec)

N/A 0.387 5.624 9.693 0.264 11.771 1.325 0.000 5.792

Problem 1654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 0 112 114 0 137 0 0 0

N.S.

1 0.00 1.00 1.02 0.00 1.22 0.00 0.00 0.00

time (sec)

N/A 0.000 0.448 3.891 0.000 1.282 0.000 0.000 0.000

Problem 1655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

112 128 129 104 0 247 0 100 0

N.S.

1 1.14 1.15 0.93 0.00 2.21 0.00 0.89 0.00

time (sec)

N/A 0.354 0.619 1.566 0.000 1.019 0.000 0.377 0.000

Problem 1656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 142 156 206 0 434 0 97 0

N.S.

1 1.27 1.39 1.84 0.00 3.88 0.00 0.87 0.00

time (sec)

N/A 0.663 0.354 2.358 0.000 10.414 0.000 0.337 0.000

Problem 1657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 55 140 127 0 611 0 208 0

N.S.

1 0.49 1.25 1.13 0.00 5.46 0.00 1.86 0.00

time (sec)

N/A 0.487 0.395 0.533 0.000 42.421 0.000 0.301 0.000

Problem 1658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 176 129 131 0 253 0 261 0

N.S.

1 1.57 1.15 1.17 0.00 2.26 0.00 2.33 0.00

time (sec)

N/A 0.373 0.467 0.419 0.000 0.258 0.000 0.318 0.000

Problem 1659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 0 115 136 0 0 0 0 0

N.S.

1 0.00 1.03 1.21 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 3.341 0.881 0.000 0.000 0.000 0.000 0.000

Problem 1660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 469 0 136 0 0 0 0 0

N.S.

1 4.19 0.00 1.21 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.556 0.000 1.016 0.000 0.000 0.000 0.000 0.000

Problem 1661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

112 96 107 33 122 102 31 0 0

N.S.

1 0.86 0.96 0.29 1.09 0.91 0.28 0.00 0.00

time (sec)

N/A 0.212 1.811 2.138 0.267 0.282 1.615 0.000 0.000

Problem 1662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

112 97 107 33 121 102 32 0 0

N.S.

1 0.87 0.96 0.29 1.08 0.91 0.29 0.00 0.00

time (sec)

N/A 0.208 0.628 1.824 0.275 0.272 1.275 0.000 0.000

Problem 1663

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

112 97 107 33 121 102 34 0 0

N.S.

1 0.87 0.96 0.29 1.08 0.91 0.30 0.00 0.00

time (sec)

N/A 0.211 0.758 2.085 0.271 0.263 1.155 0.000 0.000

Problem 1664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 97 107 17 122 102 29 0 0

N.S.

1 0.87 0.96 0.15 1.09 0.91 0.26 0.00 0.00

time (sec)

N/A 0.202 1.765 2.105 0.264 0.268 1.716 0.000 0.000

Problem 1665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 97 111 17 121 102 31 0 0

N.S.

1 0.87 0.99 0.15 1.08 0.91 0.28 0.00 0.00

time (sec)

N/A 0.204 0.758 1.957 0.254 0.272 1.186 0.000 0.000

Problem 1666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 0 112 85 30 0 49 30 30

N.S.

1 0.00 1.00 0.76 0.27 0.00 0.44 0.27 0.27

time (sec)

N/A 0.000 0.226 158.563 0.323 0.000 54.695 0.278 5.892

Problem 1667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 0 112 85 30 0 49 30 30

N.S.

1 0.00 1.00 0.76 0.27 0.00 0.44 0.27 0.27

time (sec)

N/A 0.000 0.001 152.099 0.324 0.000 53.335 0.285 0.002

Problem 1668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 587 112 0 37 0 0 37 37

N.S.

1 5.24 1.00 0.00 0.33 0.00 0.00 0.33 0.33

time (sec)

N/A 1.340 0.236 0.000 0.323 0.000 0.000 0.325 6.110

Problem 1669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 587 112 0 37 0 0 37 37

N.S.

1 5.24 1.00 0.00 0.33 0.00 0.00 0.33 0.33

time (sec)

N/A 1.141 0.001 0.000 0.314 0.000 0.000 0.326 0.002

Problem 1670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 679 112 0 30 0 0 30 30

N.S.

1 6.06 1.00 0.00 0.27 0.00 0.00 0.27 0.27

time (sec)

N/A 1.157 0.220 0.000 0.317 0.000 0.000 0.300 6.000

Problem 1671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

112 679 112 1803 30 0 0 30 30

N.S.

1 6.06 1.00 16.10 0.27 0.00 0.00 0.27 0.27

time (sec)

N/A 1.009 0.001 5.320 0.315 0.000 0.000 0.298 0.002

Problem 1672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

112 505 112 9294 37 0 0 37 36

N.S.

1 4.51 1.00 82.98 0.33 0.00 0.00 0.33 0.32

time (sec)

N/A 1.125 0.240 33.408 0.328 0.000 0.000 0.279 5.891

Problem 1673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

112 505 112 7521 37 0 0 37 36

N.S.

1 4.51 1.00 67.15 0.33 0.00 0.00 0.33 0.32

time (sec)

N/A 0.912 0.001 37.957 0.318 0.000 0.000 0.298 0.002

Problem 1674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 615 112 85 39 0 0 0 39

N.S.

1 5.49 1.00 0.76 0.35 0.00 0.00 0.00 0.35

time (sec)

N/A 1.313 0.229 152.860 0.332 0.000 0.000 0.000 5.938

Problem 1675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 615 112 85 39 0 0 0 39

N.S.

1 5.49 1.00 0.76 0.35 0.00 0.00 0.00 0.35

time (sec)

N/A 1.082 0.001 138.905 0.320 0.000 0.000 0.000 0.002

Problem 1676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

112 0 112 114 0 152 0 0 0

N.S.

1 0.00 1.00 1.02 0.00 1.36 0.00 0.00 0.00

time (sec)

N/A 0.000 1.404 34.090 0.000 11.165 0.000 0.000 0.000

Problem 1677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A N/A N/A C N/A N/A N/A

verified

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

size

112 0 94 24 26 6296 31 26 26

N.S.

1 0.00 0.84 0.21 0.23 56.21 0.28 0.23 0.23

time (sec)

N/A 0.000 0.228 0.015 0.324 9.682 10.701 0.301 5.661

Problem 1678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A N/A N/A C N/A N/A N/A

verified

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

size

112 0 94 24 26 6296 31 26 26

N.S.

1 0.00 0.84 0.21 0.23 56.21 0.28 0.23 0.23

time (sec)

N/A 0.000 0.001 0.002 0.329 9.656 10.641 0.323 0.002

Problem 1679

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

112 93 91 0 0 72 0 0 0

N.S.

1 0.83 0.81 0.00 0.00 0.64 0.00 0.00 0.00

time (sec)

N/A 0.283 0.127 0.000 0.000 0.260 0.000 0.000 0.000

Problem 1680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 0 95 0 0 0 0 0 0

N.S.

1 0.00 0.84 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 3.291 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 145 153 15 0 105 0 88 0

N.S.

1 1.28 1.35 0.13 0.00 0.93 0.00 0.78 0.00

time (sec)

N/A 0.281 0.271 0.648 0.000 0.266 0.000 0.276 0.000

Problem 1682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 0 151 0 0 0 0 0 0

N.S.

1 0.00 1.34 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 2.598 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 0 0 0 0 0 0 0 0

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 136 113 94 0 555 0 0 0

N.S.

1 1.20 1.00 0.83 0.00 4.91 0.00 0.00 0.00

time (sec)

N/A 0.377 0.323 0.671 0.000 0.374 0.000 0.000 0.000

Problem 1685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 0 0 0 0 0 0 0 0

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A N/A N/A C N/A C N/A

verified

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

size

113 422 144 175 24 451 31 57 24

N.S.

1 3.73 1.27 1.55 0.21 3.99 0.27 0.50 0.21

time (sec)

N/A 1.217 0.364 23.171 0.326 0.281 0.962 0.313 5.664

Problem 1687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 59 149 130 0 622 0 213 0

N.S.

1 0.52 1.32 1.15 0.00 5.50 0.00 1.88 0.00

time (sec)

N/A 0.508 0.420 0.556 0.000 42.721 0.000 0.298 0.000

Problem 1688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 0 68 0 0 0 0 0 0

N.S.

1 0.00 0.60 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 10.325 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 0 155 0 0 0 0 0 0

N.S.

1 0.00 1.37 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 4.446 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A N/A N/A C N/A C N/A

verified

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

size

113 152 142 121 53 1149 32 218 22

N.S.

1 1.35 1.26 1.07 0.47 10.17 0.28 1.93 0.19

time (sec)

N/A 1.050 0.347 48.372 0.335 3.560 0.670 0.315 5.559

Problem 1691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A N/A N/A C N/A C N/A

verified

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

size

113 152 142 121 53 1149 32 218 22

N.S.

1 1.35 1.26 1.07 0.47 10.17 0.28 1.93 0.19

time (sec)

N/A 1.015 0.002 45.010 0.321 3.595 0.683 0.317 0.003

Problem 1692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 884 148 100 100 3429 37 0 25

N.S.

1 7.82 1.31 0.88 0.88 30.35 0.33 0.00 0.22

time (sec)

N/A 2.129 0.358 102.074 0.331 10.149 1.410 0.000 5.584

Problem 1693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 884 148 100 100 3429 37 0 25

N.S.

1 7.82 1.31 0.88 0.88 30.35 0.33 0.00 0.22

time (sec)

N/A 1.746 0.001 127.428 0.310 10.119 1.398 0.000 0.002

Problem 1694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 0 107 375 0 154 0 0 0

N.S.

1 0.00 0.95 3.32 0.00 1.36 0.00 0.00 0.00

time (sec)

N/A 0.000 3.019 1.383 0.000 0.259 0.000 0.000 0.000

Problem 1695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

114 131 109 33 170 106 32 0 0

N.S.

1 1.15 0.96 0.29 1.49 0.93 0.28 0.00 0.00

time (sec)

N/A 0.240 0.278 1.060 0.273 0.255 18.657 0.000 0.000

Problem 1696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

114 100 131 27 0 137 0 74 0

N.S.

1 0.88 1.15 0.24 0.00 1.20 0.00 0.65 0.00

time (sec)

N/A 0.253 0.171 0.376 0.000 0.246 0.000 0.287 0.000

Problem 1697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

114 100 131 40 0 137 0 74 0

N.S.

1 0.88 1.15 0.35 0.00 1.20 0.00 0.65 0.00

time (sec)

N/A 0.238 0.181 0.398 0.000 0.251 0.000 0.277 0.000

Problem 1698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

114 2392 116 0 0 0 0 0 0

N.S.

1 20.98 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 10.625 0.280 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

114 0 135 74 29 0 26 1 29

N.S.

1 0.00 1.18 0.65 0.25 0.00 0.23 0.01 0.25

time (sec)

N/A 0.000 1.785 168.425 0.326 0.000 1.709 0.380 5.649

Problem 1700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

114 797 87 390 0 413 0 0 0

N.S.

1 6.99 0.76 3.42 0.00 3.62 0.00 0.00 0.00

time (sec)

N/A 1.710 1.651 3.275 0.000 4.548 0.000 0.000 0.000

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