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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 A B A F B

verified

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

size

33 0 35 34 31 104 32 0 69

N.S.

1 0.00 1.06 1.03 0.94 3.15 0.97 0.00 2.09

time (sec)

N/A 0.000 0.360 0.689 0.891 0.250 0.211 0.000 8.164

Problem 1602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 11 11 12 15 16 7 11 11

N.S.

1 0.92 0.92 1.00 1.25 1.33 0.58 0.92 0.92

time (sec)

N/A 0.299 0.087 0.041 0.220 0.244 0.031 0.267 8.591

Problem 1603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

14 0 14 13 10 12 10 12 12

N.S.

1 0.00 1.00 0.93 0.71 0.86 0.71 0.86 0.86

time (sec)

N/A 0.000 0.294 0.615 0.219 0.245 0.057 0.305 8.711

Problem 1604

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

26 24 24 21 20 20 20 23 20

N.S.

1 0.92 0.92 0.81 0.77 0.77 0.77 0.88 0.77

time (sec)

N/A 0.279 0.013 0.030 0.276 0.262 0.063 0.264 8.168

Problem 1605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

30 0 28 27 28 32 24 24 23

N.S.

1 0.00 0.93 0.90 0.93 1.07 0.80 0.80 0.77

time (sec)

N/A 0.000 0.157 0.321 0.228 0.249 0.057 0.267 8.787

Problem 1606

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

10 10 10 11 10 10 10 10 10

N.S.

1 1.00 1.00 1.10 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.141 0.004 0.068 0.173 0.247 0.048 0.253 8.231

Problem 1607

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

8 11 11 9 11 11 8 11 8

N.S.

1 1.38 1.38 1.12 1.38 1.38 1.00 1.38 1.00

time (sec)

N/A 0.134 0.000 0.020 0.181 0.256 0.016 0.254 0.020

Problem 1608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 24 23 48 0 42 42 0 42

N.S.

1 1.04 1.00 2.09 0.00 1.83 1.83 0.00 1.83

time (sec)

N/A 1.196 0.075 25.638 0.000 0.254 0.162 0.000 9.073

Problem 1609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

23 0 25 23 24 24 20 24 23

N.S.

1 0.00 1.09 1.00 1.04 1.04 0.87 1.04 1.00

time (sec)

N/A 0.000 0.014 0.044 0.175 0.237 0.185 0.255 0.079

Problem 1610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 31 80 181 71 80 0 0

N.S.

1 0.00 1.00 2.58 5.84 2.29 2.58 0.00 0.00

time (sec)

N/A 0.000 0.264 1.611 0.274 0.251 2.993 0.000 0.000

Problem 1611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B F A B B B

verified

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

size

28 0 180 186 0 51 63 338 36

N.S.

1 0.00 6.43 6.64 0.00 1.82 2.25 12.07 1.29

time (sec)

N/A 0.000 0.688 16.490 0.000 0.275 0.336 0.349 9.398

Problem 1612

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

18 15 14 13 15 15 14 16 14

N.S.

1 0.83 0.78 0.72 0.83 0.83 0.78 0.89 0.78

time (sec)

N/A 0.144 0.013 0.209 0.175 0.265 0.075 0.257 8.760

Problem 1613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

23 0 23 24 23 30 17 23 17

N.S.

1 0.00 1.00 1.04 1.00 1.30 0.74 1.00 0.74

time (sec)

N/A 0.000 0.262 0.259 0.228 0.253 0.082 0.256 0.175

Problem 1614

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

29 30 30 28 27 27 22 27 31

N.S.

1 1.03 1.03 0.97 0.93 0.93 0.76 0.93 1.07

time (sec)

N/A 0.350 0.299 0.613 0.257 0.262 0.157 0.276 8.663

Problem 1615

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

28 27 27 28 27 27 24 29 30

N.S.

1 0.96 0.96 1.00 0.96 0.96 0.86 1.04 1.07

time (sec)

N/A 0.257 0.011 0.189 0.170 0.242 0.041 0.251 0.054

Problem 1616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B A A B B B

verified

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

size

24 0 22 51 44 40 53 101 22

N.S.

1 0.00 0.92 2.12 1.83 1.67 2.21 4.21 0.92

time (sec)

N/A 0.000 0.260 4.890 0.211 0.261 0.245 0.505 9.197

Problem 1617

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

30 30 23 20 20 20 17 20 20

N.S.

1 1.00 0.77 0.67 0.67 0.67 0.57 0.67 0.67

time (sec)

N/A 0.203 0.137 0.066 0.175 0.255 0.061 0.259 0.187

Problem 1618

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

12 11 11 9 9 9 8 9 9

N.S.

1 0.92 0.92 0.75 0.75 0.75 0.67 0.75 0.75

time (sec)

N/A 0.125 0.000 0.024 0.167 0.227 0.015 0.253 0.002

Problem 1619

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

29 26 26 26 36 22 17 22 20

N.S.

1 0.90 0.90 0.90 1.24 0.76 0.59 0.76 0.69

time (sec)

N/A 0.217 0.037 0.051 0.181 0.248 0.081 0.257 9.243

Problem 1620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

34 0 46 101 168 78 0 0 0

N.S.

1 0.00 1.35 2.97 4.94 2.29 0.00 0.00 0.00

time (sec)

N/A 0.000 0.378 10.914 57.808 0.268 0.000 0.000 0.000

Problem 1621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

33 0 55 87 52 89 85 423 431

N.S.

1 0.00 1.67 2.64 1.58 2.70 2.58 12.82 13.06

time (sec)

N/A 0.000 0.120 2.217 14.629 0.247 0.572 0.343 0.581

Problem 1622

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

22 30 23 22 25 23 26 25 21

N.S.

1 1.36 1.05 1.00 1.14 1.05 1.18 1.14 0.95

time (sec)

N/A 0.214 0.017 0.076 0.193 0.235 0.231 0.256 0.101

Problem 1623

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

15 25 15 22 17 17 20 17 14

N.S.

1 1.67 1.00 1.47 1.13 1.13 1.33 1.13 0.93

time (sec)

N/A 0.345 0.127 0.452 0.306 0.250 0.088 0.257 9.320

Problem 1624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 40 31 69 144 78 169 0

N.S.

1 0.00 1.54 1.19 2.65 5.54 3.00 6.50 0.00

time (sec)

N/A 0.000 0.157 9.671 0.583 0.275 0.208 9.422 0.000

Problem 1625

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

19 16 15 15 13 16 10 14 14

N.S.

1 0.84 0.79 0.79 0.68 0.84 0.53 0.74 0.74

time (sec)

N/A 0.152 0.003 0.046 0.191 0.241 0.033 0.252 0.041

Problem 1626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 73 25 38 40 37 42 41 27

N.S.

1 3.17 1.09 1.65 1.74 1.61 1.83 1.78 1.17

time (sec)

N/A 0.201 0.035 0.132 0.209 0.248 0.068 0.250 0.102

Problem 1627

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

7 7 7 7 6 6 3 6 6

N.S.

1 1.00 1.00 1.00 0.86 0.86 0.43 0.86 0.86

time (sec)

N/A 0.139 0.014 0.031 0.195 0.243 0.036 0.257 0.037

Problem 1628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

35 0 0 62 136 122 85 0 139

N.S.

1 0.00 0.00 1.77 3.89 3.49 2.43 0.00 3.97

time (sec)

N/A 0.000 0.000 0.889 0.344 0.262 0.187 0.000 9.392

Problem 1629

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

9 11 9 9 8 8 5 8 8

N.S.

1 1.22 1.00 1.00 0.89 0.89 0.56 0.89 0.89

time (sec)

N/A 0.357 0.051 0.027 0.248 0.240 0.038 0.252 0.080

Problem 1630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

28 0 36 26 33 33 29 0 39

N.S.

1 0.00 1.29 0.93 1.18 1.18 1.04 0.00 1.39

time (sec)

N/A 0.000 1.308 5.044 0.238 0.264 0.534 0.000 8.900

Problem 1631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

29 0 26 48 49 45 41 45 540

N.S.

1 0.00 0.90 1.66 1.69 1.55 1.41 1.55 18.62

time (sec)

N/A 0.000 0.520 1.230 0.279 0.249 0.132 0.623 9.261

Problem 1632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

35 0 36 44 28 48 26 28 28

N.S.

1 0.00 1.03 1.26 0.80 1.37 0.74 0.80 0.80

time (sec)

N/A 0.000 0.039 0.082 0.208 0.244 0.753 0.264 0.156

Problem 1633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B A B

verified

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

size

25 0 31 51 35 28 66 42 57

N.S.

1 0.00 1.24 2.04 1.40 1.12 2.64 1.68 2.28

time (sec)

N/A 0.000 4.822 0.425 0.249 0.252 0.195 0.282 8.650

Problem 1634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 18 19 59 85 31 41 18

N.S.

1 1.00 0.90 0.95 2.95 4.25 1.55 2.05 0.90

time (sec)

N/A 0.558 0.041 0.304 0.295 0.260 0.057 0.423 9.102

Problem 1635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 26 220 23 37 0 0 32

N.S.

1 0.00 1.00 8.46 0.88 1.42 0.00 0.00 1.23

time (sec)

N/A 0.000 0.136 0.145 0.328 0.257 0.000 0.000 9.478

Problem 1636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 103 32 29 80 32 44 59 23

N.S.

1 3.81 1.19 1.07 2.96 1.19 1.63 2.19 0.85

time (sec)

N/A 0.878 0.072 0.199 0.332 0.271 0.176 0.263 9.086

Problem 1637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 24 26 25 34 24 25 0

N.S.

1 0.00 1.04 1.13 1.09 1.48 1.04 1.09 0.00

time (sec)

N/A 0.000 0.829 1.349 0.283 0.247 0.148 0.293 0.000

Problem 1638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 20 30 31 28 29 28 30

N.S.

1 0.00 0.83 1.25 1.29 1.17 1.21 1.17 1.25

time (sec)

N/A 0.000 0.214 0.220 0.308 0.268 0.124 0.268 13.779

Problem 1639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

28 0 21 18 19 17 12 44 17

N.S.

1 0.00 0.75 0.64 0.68 0.61 0.43 1.57 0.61

time (sec)

N/A 0.000 0.874 0.297 0.265 0.258 2.535 0.281 9.145

Problem 1640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

32 0 28 29 39 35 34 39 36

N.S.

1 0.00 0.88 0.91 1.22 1.09 1.06 1.22 1.12

time (sec)

N/A 0.000 0.630 0.609 0.242 0.270 0.082 0.306 10.058

Problem 1641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A F B

verified

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

size

28 0 26 25 22 154 22 0 24

N.S.

1 0.00 0.93 0.89 0.79 5.50 0.79 0.00 0.86

time (sec)

N/A 0.000 0.193 1.891 0.499 0.263 7.249 0.000 9.448

Problem 1642

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

33 0 48 30 30 49 26 35 43

N.S.

1 0.00 1.45 0.91 0.91 1.48 0.79 1.06 1.30

time (sec)

N/A 0.000 2.465 0.197 0.372 0.263 0.082 0.285 0.164

Problem 1643

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

19 25 17 14 13 13 12 13 13

N.S.

1 1.32 0.89 0.74 0.68 0.68 0.63 0.68 0.68

time (sec)

N/A 0.180 0.027 0.046 0.192 0.246 0.089 0.254 9.493

Problem 1644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

22 0 29 35 32 31 34 58 33

N.S.

1 0.00 1.32 1.59 1.45 1.41 1.55 2.64 1.50

time (sec)

N/A 0.000 0.138 34.770 0.376 0.263 3.334 0.524 11.107

Problem 1645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

22 0 24 44 56 24 24 51 26

N.S.

1 0.00 1.09 2.00 2.55 1.09 1.09 2.32 1.18

time (sec)

N/A 0.000 0.649 0.237 0.247 0.263 0.138 0.428 9.485

Problem 1646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 63 27 40 39 34 0 0

N.S.

1 0.00 2.62 1.12 1.67 1.62 1.42 0.00 0.00

time (sec)

N/A 0.000 0.293 9.785 0.321 0.272 0.167 0.000 0.000

Problem 1647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B B B

verified

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

size

29 0 48 84 163 82 54 135 106

N.S.

1 0.00 1.66 2.90 5.62 2.83 1.86 4.66 3.66

time (sec)

N/A 0.000 0.101 4.220 0.343 0.266 0.138 0.450 9.183

Problem 1648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 22 21 19 38 18 20 38 13

N.S.

1 1.22 1.17 1.06 2.11 1.00 1.11 2.11 0.72

time (sec)

N/A 0.149 0.006 0.073 0.201 0.243 0.043 0.257 8.098

Problem 1649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A C A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 41 18 19 52 21 15 190 16

N.S.

1 2.28 1.00 1.06 2.89 1.17 0.83 10.56 0.89

time (sec)

N/A 0.204 0.017 0.353 0.244 0.251 0.061 0.261 8.159

Problem 1650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C B B B B

verified

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

size

17 0 15 24 186 44 94 187 21

N.S.

1 0.00 0.88 1.41 10.94 2.59 5.53 11.00 1.24

time (sec)

N/A 0.000 0.110 0.714 0.306 0.258 0.139 0.281 8.520

Problem 1651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 54 24 24 24 24 36 24 25

N.S.

1 2.08 0.92 0.92 0.92 0.92 1.38 0.92 0.96

time (sec)

N/A 0.922 0.147 0.458 0.294 0.251 0.100 0.259 8.807

Problem 1652

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

10 10 10 10 9 9 7 9 9

N.S.

1 1.00 1.00 1.00 0.90 0.90 0.70 0.90 0.90

time (sec)

N/A 0.126 0.000 0.025 0.186 0.226 0.020 0.257 0.002

Problem 1653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 54 22 19 33 21 20 0 18

N.S.

1 2.35 0.96 0.83 1.43 0.91 0.87 0.00 0.78

time (sec)

N/A 0.209 0.030 0.205 0.308 0.261 0.120 0.000 0.160

Problem 1654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 74 70 42 108 42 48 43 21

N.S.

1 3.36 3.18 1.91 4.91 1.91 2.18 1.95 0.95

time (sec)

N/A 0.412 0.027 0.132 0.263 0.258 0.099 0.260 8.250

Problem 1655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 27 28 27 27 32 27 0

N.S.

1 0.00 1.04 1.08 1.04 1.04 1.23 1.04 0.00

time (sec)

N/A 0.000 0.409 0.316 0.221 0.249 0.059 0.273 0.000

Problem 1656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 34 29 30 94 24 32 52 26

N.S.

1 1.26 1.07 1.11 3.48 0.89 1.19 1.93 0.96

time (sec)

N/A 0.236 0.545 0.283 0.215 0.252 0.081 0.255 7.887

Problem 1657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 23 21 30 18 0 26 20

N.S.

1 0.00 0.88 0.81 1.15 0.69 0.00 1.00 0.77

time (sec)

N/A 0.000 0.613 1.062 0.317 0.237 0.000 0.270 8.926

Problem 1658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 21 19 18 18 17 18 0

N.S.

1 0.00 0.95 0.86 0.82 0.82 0.77 0.82 0.00

time (sec)

N/A 0.000 0.359 0.113 0.245 0.245 0.077 0.265 0.000

Problem 1659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

28 0 0 59 0 28 0 108 0

N.S.

1 0.00 0.00 2.11 0.00 1.00 0.00 3.86 0.00

time (sec)

N/A 0.000 0.000 0.132 0.000 0.270 0.000 3.416 0.000

Problem 1660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 20 17 60 20 15 20 16

N.S.

1 1.00 1.00 0.85 3.00 1.00 0.75 1.00 0.80

time (sec)

N/A 0.284 0.031 1.300 0.438 0.270 0.071 0.253 8.313

Problem 1661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

18 0 0 17 33 16 0 52 16

N.S.

1 0.00 0.00 0.94 1.83 0.89 0.00 2.89 0.89

time (sec)

N/A 0.000 0.000 4.355 0.356 0.253 0.000 0.278 8.354

Problem 1662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 109 16 108 109 109 109 109 109

N.S.

1 6.06 0.89 6.00 6.06 6.06 6.06 6.06 6.06

time (sec)

N/A 1.151 0.013 0.331 0.178 0.240 0.052 0.254 8.692

Problem 1663

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

9 4 4 5 4 4 3 5 4

N.S.

1 0.44 0.44 0.56 0.44 0.44 0.33 0.56 0.44

time (sec)

N/A 0.117 0.000 0.018 0.186 0.244 0.017 0.259 0.010

Problem 1664

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

24 18 18 17 18 18 19 19 16

N.S.

1 0.75 0.75 0.71 0.75 0.75 0.79 0.79 0.67

time (sec)

N/A 0.160 0.008 0.026 0.181 0.247 0.046 0.261 0.072

Problem 1665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 26 26 29 29 20 29 25

N.S.

1 0.00 1.08 1.08 1.21 1.21 0.83 1.21 1.04

time (sec)

N/A 0.000 2.576 0.070 0.229 0.258 0.074 0.265 0.339

Problem 1666

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

27 39 32 23 25 36 20 34 47

N.S.

1 1.44 1.19 0.85 0.93 1.33 0.74 1.26 1.74

time (sec)

N/A 0.332 0.024 0.114 0.192 0.249 0.100 0.269 8.638

Problem 1667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 36 11 15 64 16 24 28 11

N.S.

1 1.71 0.52 0.71 3.05 0.76 1.14 1.33 0.52

time (sec)

N/A 0.522 0.047 0.061 0.187 0.251 0.077 0.257 8.264

Problem 1668

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

22 19 18 20 17 20 17 17 20

N.S.

1 0.86 0.82 0.91 0.77 0.91 0.77 0.77 0.91

time (sec)

N/A 0.337 0.023 0.490 0.315 0.256 0.070 0.258 8.706

Problem 1669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 54 51 18 306 21 19 21 20

N.S.

1 2.25 2.12 0.75 12.75 0.88 0.79 0.88 0.83

time (sec)

N/A 0.259 0.116 0.074 0.353 0.259 0.067 0.270 7.960

Problem 1670

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

17 16 19 11 14 14 15 14 10

N.S.

1 0.94 1.12 0.65 0.82 0.82 0.88 0.82 0.59

time (sec)

N/A 0.131 0.002 0.033 0.181 0.233 0.021 0.249 0.041

Problem 1671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 12 12 12 92 11 10 11 11

N.S.

1 0.75 0.75 0.75 5.75 0.69 0.62 0.69 0.69

time (sec)

N/A 0.385 0.056 0.117 0.183 0.255 0.037 0.254 7.900

Problem 1672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 21 30 20 23 46 20 19 25

N.S.

1 1.05 1.50 1.00 1.15 2.30 1.00 0.95 1.25

time (sec)

N/A 0.234 0.021 0.066 0.190 0.240 0.067 0.256 8.348

Problem 1673

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

22 22 23 31 30 32 34 30 30

N.S.

1 1.00 1.05 1.41 1.36 1.45 1.55 1.36 1.36

time (sec)

N/A 0.138 0.000 0.036 0.177 0.262 0.015 0.252 0.003

Problem 1674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B B B B B B

verified

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

size

40 0 104 194 290 158 240 485 366

N.S.

1 0.00 2.60 4.85 7.25 3.95 6.00 12.12 9.15

time (sec)

N/A 0.000 0.281 7.965 0.444 0.288 0.356 0.717 8.442

Problem 1675

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

10 6 6 5 4 4 5 5 4

N.S.

1 0.60 0.60 0.50 0.40 0.40 0.50 0.50 0.40

time (sec)

N/A 0.122 0.000 0.008 0.186 0.238 0.018 0.268 8.231

Problem 1676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 0 18 18 25 44 20 0 21

N.S.

1 0.00 0.90 0.90 1.25 2.20 1.00 0.00 1.05

time (sec)

N/A 0.000 0.377 0.332 0.263 0.259 0.113 0.000 8.149

Problem 1677

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

36 39 33 35 29 33 32 31 36

N.S.

1 1.08 0.92 0.97 0.81 0.92 0.89 0.86 1.00

time (sec)

N/A 5.843 1.620 0.992 0.308 0.240 0.174 0.346 9.287

Problem 1678

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

20 22 19 19 18 18 19 18 17

N.S.

1 1.10 0.95 0.95 0.90 0.90 0.95 0.90 0.85

time (sec)

N/A 0.151 0.020 0.022 0.188 0.257 0.073 0.253 7.969

Problem 1679

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

22 24 15 14 16 17 15 17 12

N.S.

1 1.09 0.68 0.64 0.73 0.77 0.68 0.77 0.55

time (sec)

N/A 0.163 0.002 0.205 0.184 0.239 0.034 0.254 0.082

Problem 1680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 74 41 31 33 71 31 20 42

N.S.

1 3.36 1.86 1.41 1.50 3.23 1.41 0.91 1.91

time (sec)

N/A 0.493 0.048 0.175 0.176 0.245 0.364 0.268 8.652

Problem 1681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 145 23 97 96 96 100 96 19

N.S.

1 6.04 0.96 4.04 4.00 4.00 4.17 4.00 0.79

time (sec)

N/A 0.588 0.051 0.167 0.192 0.242 0.112 0.256 8.044

Problem 1682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

19 0 19 36 62 33 19 40 739

N.S.

1 0.00 1.00 1.89 3.26 1.74 1.00 2.11 38.89

time (sec)

N/A 0.000 0.352 4.737 0.317 0.259 0.282 18.488 9.197

Problem 1683

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

26 27 25 22 21 21 17 21 23

N.S.

1 1.04 0.96 0.85 0.81 0.81 0.65 0.81 0.88

time (sec)

N/A 0.167 0.042 0.030 0.183 0.269 0.047 0.250 0.139

Problem 1684

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

26 30 28 25 24 24 26 24 24

N.S.

1 1.15 1.08 0.96 0.92 0.92 1.00 0.92 0.92

time (sec)

N/A 0.155 0.013 0.030 0.188 0.245 0.045 0.262 8.513

Problem 1685

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

19 15 15 16 15 15 10 15 15

N.S.

1 0.79 0.79 0.84 0.79 0.79 0.53 0.79 0.79

time (sec)

N/A 0.169 0.006 0.179 0.200 0.256 0.031 0.246 0.047

Problem 1686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 33 29 33 36 33 56 35 33

N.S.

1 0.97 0.85 0.97 1.06 0.97 1.65 1.03 0.97

time (sec)

N/A 2.006 0.077 1.771 0.310 0.248 0.521 0.312 8.600

Problem 1687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 0 21 26 20 27 0 0 20

N.S.

1 0.00 1.00 1.24 0.95 1.29 0.00 0.00 0.95

time (sec)

N/A 0.000 0.989 2.859 0.541 0.246 0.000 0.000 8.610

Problem 1688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 158 89 78 575 132 128 141 124

N.S.

1 6.58 3.71 3.25 23.96 5.50 5.33 5.88 5.17

time (sec)

N/A 1.238 0.922 2.099 0.215 0.264 0.196 0.260 8.636

Problem 1689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 28 28 31 29 33 31 49 42

N.S.

1 1.08 1.08 1.19 1.12 1.27 1.19 1.88 1.62

time (sec)

N/A 0.167 0.010 0.057 0.188 0.250 0.059 0.254 0.126

Problem 1690

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

17 22 16 14 13 13 10 14 13

N.S.

1 1.29 0.94 0.82 0.76 0.76 0.59 0.82 0.76

time (sec)

N/A 0.433 0.081 0.044 0.190 0.240 0.083 0.269 8.044

Problem 1691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 89 58 69 72 72 66 72 63

N.S.

1 3.30 2.15 2.56 2.67 2.67 2.44 2.67 2.33

time (sec)

N/A 0.224 0.023 0.135 0.174 0.247 0.028 0.260 0.084

Problem 1692

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

14 14 14 14 13 15 12 15 14

N.S.

1 1.00 1.00 1.00 0.93 1.07 0.86 1.07 1.00

time (sec)

N/A 0.156 0.026 0.065 0.173 0.254 0.043 0.257 8.315

Problem 1693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 0 31 31 33 69 31 0 0

N.S.

1 0.00 0.97 0.97 1.03 2.16 0.97 0.00 0.00

time (sec)

N/A 0.000 0.145 0.832 0.322 0.261 1.426 0.000 0.000

Problem 1694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A F A A A A B

verified

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

size

14 0 14 0 12 12 12 12 13

N.S.

1 0.00 1.00 0.00 0.86 0.86 0.86 0.86 0.93

time (sec)

N/A 0.000 0.098 0.000 0.266 0.255 0.105 0.254 8.972

Problem 1695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 43 41 0 40 0 0 44

N.S.

1 0.00 1.39 1.32 0.00 1.29 0.00 0.00 1.42

time (sec)

N/A 0.000 0.246 0.536 0.000 0.245 0.000 0.000 9.153

Problem 1696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 36 97 37 64 79 60 87 303

N.S.

1 1.50 4.04 1.54 2.67 3.29 2.50 3.62 12.62

time (sec)

N/A 0.407 0.084 0.132 0.177 0.247 0.654 0.260 9.252

Problem 1697

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

24 23 24 22 21 38 19 22 28

N.S.

1 0.96 1.00 0.92 0.88 1.58 0.79 0.92 1.17

time (sec)

N/A 0.390 0.027 0.198 0.176 0.249 0.662 0.260 8.844

Problem 1698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

20 0 20 20 22 22 20 22 68

N.S.

1 0.00 1.00 1.00 1.10 1.10 1.00 1.10 3.40

time (sec)

N/A 0.000 0.425 0.162 0.229 0.258 0.084 0.271 9.025

Problem 1699

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

19 11 11 10 9 9 8 8 9

N.S.

1 0.58 0.58 0.53 0.47 0.47 0.42 0.42 0.47

time (sec)

N/A 0.151 0.018 0.029 0.180 0.233 0.041 0.263 9.014

Problem 1700

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

18 15 15 14 15 17 12 15 13

N.S.

1 0.83 0.83 0.78 0.83 0.94 0.67 0.83 0.72

time (sec)

N/A 0.151 0.004 0.051 0.172 0.232 0.032 0.259 0.035

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