Integrals 1301 to 1400

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 1301

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

21 0 21 28 24 26 24 28 22

N.S.

1 0.00 1.00 1.33 1.14 1.24 1.14 1.33 1.05

time (sec)

N/A 0.000 0.212 0.115 0.270 0.254 0.138 0.282 8.671

Problem 1302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B F B B B B

verified

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

size

26 0 130 227 0 169 212 759 269

N.S.

1 0.00 5.00 8.73 0.00 6.50 8.15 29.19 10.35

time (sec)

N/A 0.000 0.292 0.126 0.000 0.253 0.350 0.301 12.201

Problem 1303

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 4 4 5 4 4 3 5 4

N.S.

1 0.40 0.40 0.50 0.40 0.40 0.30 0.50 0.40

time (sec)

N/A 0.001 0.001 0.014 0.182 0.240 0.025 0.250 0.015

Problem 1304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 129 34 32 136 31 27 31 23

N.S.

1 6.79 1.79 1.68 7.16 1.63 1.42 1.63 1.21

time (sec)

N/A 0.386 0.103 0.163 0.702 0.257 0.069 0.306 8.609

Problem 1305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B A A B

verified

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

size

30 0 31 38 77 77 42 49 259

N.S.

1 0.00 1.03 1.27 2.57 2.57 1.40 1.63 8.63

time (sec)

N/A 0.000 0.072 1.041 0.248 0.261 0.114 0.322 8.494

Problem 1306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 24 23 51 25 36 54 0

N.S.

1 0.00 1.00 0.96 2.12 1.04 1.50 2.25 0.00

time (sec)

N/A 0.000 0.145 0.233 0.375 0.258 0.255 0.250 0.000

Problem 1307

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 37 28 49 31 24 34 30

N.S.

1 1.03 1.28 0.97 1.69 1.07 0.83 1.17 1.03

time (sec)

N/A 0.035 0.013 0.083 0.187 0.243 0.133 0.255 8.396

Problem 1308

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

25 0 25 23 26 36 27 38 100

N.S.

1 0.00 1.00 0.92 1.04 1.44 1.08 1.52 4.00

time (sec)

N/A 0.000 0.258 0.400 0.235 0.267 0.087 0.272 9.376

Problem 1309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 22 30 20 43 17 43 20

N.S.

1 1.00 1.00 1.36 0.91 1.95 0.77 1.95 0.91

time (sec)

N/A 0.036 0.031 0.128 0.181 0.278 0.109 0.255 8.746

Problem 1310

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 20 25 19 17 18 17

N.S.

1 0.00 0.75 0.71 0.89 0.68 0.61 0.64 0.61

time (sec)

N/A 0.000 0.249 0.280 0.210 0.259 0.174 0.253 8.579

Problem 1311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 22 28 60 24 24 0 0

N.S.

1 0.00 0.85 1.08 2.31 0.92 0.92 0.00 0.00

time (sec)

N/A 0.000 0.684 7.020 0.270 0.258 0.161 0.000 0.000

Problem 1312

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

23 30 26 24 25 25 41 25 20

N.S.

1 1.30 1.13 1.04 1.09 1.09 1.78 1.09 0.87

time (sec)

N/A 0.007 0.003 0.033 0.176 0.248 0.022 0.246 8.399

Problem 1313

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 24 22 21 21 19 21 59

N.S.

1 0.00 1.00 0.92 0.88 0.88 0.79 0.88 2.46

time (sec)

N/A 0.000 0.865 0.358 0.212 0.249 0.106 0.261 8.596

Problem 1314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 129 70 108 110 622 0

N.S.

1 0.00 0.00 4.16 2.26 3.48 3.55 20.06 0.00

time (sec)

N/A 0.000 0.000 0.017 0.998 0.263 2.842 0.343 0.000

Problem 1315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 18 18 17 0 14 15 27 17

N.S.

1 0.90 0.90 0.85 0.00 0.70 0.75 1.35 0.85

time (sec)

N/A 0.012 0.024 0.046 0.000 0.260 0.077 0.247 0.061

Problem 1316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 90 57 58 147 64 63 57 62

N.S.

1 2.73 1.73 1.76 4.45 1.94 1.91 1.73 1.88

time (sec)

N/A 0.409 0.115 0.086 0.235 0.251 0.170 0.251 8.388

Problem 1317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A F B

verified

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

size

25 0 38 36 74 40 41 0 138

N.S.

1 0.00 1.52 1.44 2.96 1.60 1.64 0.00 5.52

time (sec)

N/A 0.000 0.483 3.915 0.323 0.275 0.200 0.000 8.897

Problem 1318

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

29 0 30 31 26 31 24 0 29

N.S.

1 0.00 1.03 1.07 0.90 1.07 0.83 0.00 1.00

time (sec)

N/A 0.000 0.327 51.421 0.323 0.255 9.272 0.000 9.160

Problem 1319

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 6 6 5 6 6 5 7 4

N.S.

1 0.75 0.75 0.62 0.75 0.75 0.62 0.88 0.50

time (sec)

N/A 0.001 0.001 0.121 0.192 0.242 0.023 0.254 0.100

Problem 1320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 31 47 43 40 56 46 0

N.S.

1 0.00 1.07 1.62 1.48 1.38 1.93 1.59 0.00

time (sec)

N/A 0.000 0.538 16.319 0.323 0.265 0.396 5.307 0.000

Problem 1321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C B A B B

verified

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

size

25 0 26 22 42 48 19 65 39

N.S.

1 0.00 1.04 0.88 1.68 1.92 0.76 2.60 1.56

time (sec)

N/A 0.000 2.238 0.087 0.224 0.273 0.128 0.281 8.582

Problem 1322

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

29 32 28 25 24 24 27 28 0

N.S.

1 1.10 0.97 0.86 0.83 0.83 0.93 0.97 0.00

time (sec)

N/A 0.423 0.273 0.439 0.230 0.268 0.164 0.321 0.000

Problem 1323

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

28 31 33 30 30 32 24 34 0

N.S.

1 1.11 1.18 1.07 1.07 1.14 0.86 1.21 0.00

time (sec)

N/A 0.338 0.229 0.257 0.221 0.273 0.111 0.257 0.000

Problem 1324

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

27 0 26 27 31 31 27 26 30

N.S.

1 0.00 0.96 1.00 1.15 1.15 1.00 0.96 1.11

time (sec)

N/A 0.000 0.240 0.261 0.206 0.264 0.117 0.247 8.700

Problem 1325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 25 52 17 15 15 63 19 19

N.S.

1 1.19 2.48 0.81 0.71 0.71 3.00 0.90 0.90

time (sec)

N/A 0.039 0.035 0.183 0.191 0.266 4.038 0.252 8.577

Problem 1326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 25 74 83 23 0 0 42

N.S.

1 0.00 1.00 2.96 3.32 0.92 0.00 0.00 1.68

time (sec)

N/A 0.000 0.442 0.331 0.391 0.261 0.000 0.000 9.505

Problem 1327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 173 46 0 74 42 42 0 87

N.S.

1 6.65 1.77 0.00 2.85 1.62 1.62 0.00 3.35

time (sec)

N/A 0.373 2.194 0.000 0.403 0.269 16.753 0.000 9.009

Problem 1328

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 15 17 14 13 13 12 15 15

N.S.

1 0.56 0.63 0.52 0.48 0.48 0.44 0.56 0.56

time (sec)

N/A 0.223 0.059 0.205 0.224 0.248 0.065 0.248 8.443

Problem 1329

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 29 31 39 30 27 29 50

N.S.

1 0.00 1.21 1.29 1.62 1.25 1.12 1.21 2.08

time (sec)

N/A 0.000 1.498 4.713 0.284 0.264 0.424 0.462 9.026

Problem 1330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 49 22 18 69 31 22 27 21

N.S.

1 2.23 1.00 0.82 3.14 1.41 1.00 1.23 0.95

time (sec)

N/A 0.157 0.330 0.045 0.244 0.260 0.059 0.254 0.115

Problem 1331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 43 59 63 49 0 53 87

N.S.

1 0.00 1.48 2.03 2.17 1.69 0.00 1.83 3.00

time (sec)

N/A 0.000 0.132 0.278 0.221 0.257 0.000 0.310 8.571

Problem 1332

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

27 0 26 23 36 36 17 22 22

N.S.

1 0.00 0.96 0.85 1.33 1.33 0.63 0.81 0.81

time (sec)

N/A 0.000 0.180 0.253 0.213 0.253 0.054 0.250 8.950

Problem 1333

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 1209 115 100 1976 94 107 141 107

N.S.

1 44.78 4.26 3.70 73.19 3.48 3.96 5.22 3.96

time (sec)

N/A 1.370 0.101 0.353 0.313 0.260 0.221 0.284 8.963

Problem 1334

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 27 21 42 36 15 42 22

N.S.

1 0.00 1.12 0.88 1.75 1.50 0.62 1.75 0.92

time (sec)

N/A 0.000 3.725 0.185 0.230 0.264 0.081 0.256 8.932

Problem 1335

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 31 43 37 42 37 42 160

N.S.

1 0.00 1.29 1.79 1.54 1.75 1.54 1.75 6.67

time (sec)

N/A 0.000 0.525 0.403 0.216 0.258 0.154 0.244 9.172

Problem 1336

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

24 108 108 94 360 100 112 381 93

N.S.

1 4.50 4.50 3.92 15.00 4.17 4.67 15.88 3.88

time (sec)

N/A 1.339 0.723 0.129 0.208 0.260 0.193 0.266 0.467

Problem 1337

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 40 41 46 46 36 50 32

N.S.

1 0.00 1.43 1.46 1.64 1.64 1.29 1.79 1.14

time (sec)

N/A 0.000 4.504 0.296 0.286 0.276 0.188 0.333 9.024

Problem 1338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 60 30 28 40 27 29 27 24

N.S.

1 2.86 1.43 1.33 1.90 1.29 1.38 1.29 1.14

time (sec)

N/A 0.021 0.045 0.041 0.198 0.266 0.090 0.240 8.913

Problem 1339

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 15 15 15 14 14 12 14 15

N.S.

1 1.00 1.00 1.00 0.93 0.93 0.80 0.93 1.00

time (sec)

N/A 0.175 0.064 0.156 0.231 0.261 0.069 0.256 0.215

Problem 1340

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 21 22 41 27 24 31 32

N.S.

1 0.00 0.91 0.96 1.78 1.17 1.04 1.35 1.39

time (sec)

N/A 0.000 10.641 0.160 0.230 0.254 0.103 0.346 9.265

Problem 1341

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

33 17 17 16 15 15 12 18 15

N.S.

1 0.52 0.52 0.48 0.45 0.45 0.36 0.55 0.45

time (sec)

N/A 0.025 0.015 0.196 0.186 0.253 0.096 0.260 9.092

Problem 1342

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 11 15 12 11 17 7 11 11

N.S.

1 0.55 0.75 0.60 0.55 0.85 0.35 0.55 0.55

time (sec)

N/A 0.006 0.009 0.223 0.189 0.250 0.033 0.246 0.039

Problem 1343

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

16 16 16 14 13 13 14 13 13

N.S.

1 1.00 1.00 0.88 0.81 0.81 0.88 0.81 0.81

time (sec)

N/A 0.045 0.044 0.050 0.231 0.275 0.109 0.248 9.271

Problem 1344

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

17 0 17 17 16 16 17 16 16

N.S.

1 0.00 1.00 1.00 0.94 0.94 1.00 0.94 0.94

time (sec)

N/A 0.000 0.129 0.049 0.217 0.254 0.115 0.245 8.970

Problem 1345

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

30 34 34 35 47 45 34 35 0

N.S.

1 1.13 1.13 1.17 1.57 1.50 1.13 1.17 0.00

time (sec)

N/A 0.286 0.072 1.233 0.316 0.271 0.591 0.299 0.000

Problem 1346

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 28 20 18 19 19 17 24 17

N.S.

1 1.17 0.83 0.75 0.79 0.79 0.71 1.00 0.71

time (sec)

N/A 0.036 0.058 0.122 0.203 0.248 0.087 0.242 0.141

Problem 1347

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 25 25 21 20 20 17 20 17

N.S.

1 0.89 0.89 0.75 0.71 0.71 0.61 0.71 0.61

time (sec)

N/A 0.033 0.017 0.139 0.193 0.248 0.058 0.243 9.182

Problem 1348

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

38 0 55 52 60 68 54 62 191

N.S.

1 0.00 1.45 1.37 1.58 1.79 1.42 1.63 5.03

time (sec)

N/A 0.000 0.187 3.391 0.284 0.272 0.206 0.373 9.192

Problem 1349

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 7 7 7 6 6 3 6 6

N.S.

1 0.78 0.78 0.78 0.67 0.67 0.33 0.67 0.67

time (sec)

N/A 0.002 0.001 0.040 0.183 0.250 0.028 0.244 0.017

Problem 1350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 1088 1529 380 1957 362 1402 508 0

N.S.

1 40.30 56.63 14.07 72.48 13.41 51.93 18.81 0.00

time (sec)

N/A 3.145 4.351 0.471 0.408 0.283 2.958 0.293 0.000

Problem 1351

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

25 32 34 27 36 36 29 36 27

N.S.

1 1.28 1.36 1.08 1.44 1.44 1.16 1.44 1.08

time (sec)

N/A 0.006 0.005 0.030 0.188 0.259 0.022 0.242 0.087

Problem 1352

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

16 39 13 13 12 12 15 32 11

N.S.

1 2.44 0.81 0.81 0.75 0.75 0.94 2.00 0.69

time (sec)

N/A 0.008 0.029 0.105 0.202 0.272 0.095 0.241 9.388

Problem 1353

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 23 23 23 37 27 37 54 20

N.S.

1 0.85 0.85 0.85 1.37 1.00 1.37 2.00 0.74

time (sec)

N/A 0.035 0.023 0.139 0.210 0.263 0.081 0.251 9.207

Problem 1354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

28 0 0 68 75 72 68 70 0

N.S.

1 0.00 0.00 2.43 2.68 2.57 2.43 2.50 0.00

time (sec)

N/A 0.000 0.000 0.308 0.322 0.282 0.501 0.576 0.000

Problem 1355

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

24 0 31 136 153 132 134 165 8404

N.S.

1 0.00 1.29 5.67 6.38 5.50 5.58 6.88 350.17

time (sec)

N/A 0.000 5.070 10.388 0.410 0.261 0.302 0.296 16.871

Problem 1356

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 13 13 14 13 13 10 13 13

N.S.

1 0.68 0.68 0.74 0.68 0.68 0.53 0.68 0.68

time (sec)

N/A 0.064 0.008 0.072 0.189 0.267 0.198 0.252 0.132

Problem 1357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B B B

verified

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

size

31 0 33 33 56 53 51 150 56

N.S.

1 0.00 1.06 1.06 1.81 1.71 1.65 4.84 1.81

time (sec)

N/A 0.000 0.201 5.016 0.300 0.286 0.597 0.531 9.817

Problem 1358

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 25 22 25 27 17 27 23

N.S.

1 0.00 1.25 1.10 1.25 1.35 0.85 1.35 1.15

time (sec)

N/A 0.000 2.172 0.150 0.220 0.256 0.058 0.249 0.117

Problem 1359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A A A A F B

verified

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

size

18 0 0 24 26 21 24 0 29

N.S.

1 0.00 0.00 1.33 1.44 1.17 1.33 0.00 1.61

time (sec)

N/A 0.000 0.000 3.977 0.314 0.261 0.670 0.000 10.129

Problem 1360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B F B

verified

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

size

27 0 45 58 873 60 60 0 217

N.S.

1 0.00 1.67 2.15 32.33 2.22 2.22 0.00 8.04

time (sec)

N/A 0.000 0.318 1.502 0.954 0.260 0.776 0.000 9.908

Problem 1361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 333 35 32 67 34 27 34 31

N.S.

1 10.09 1.06 0.97 2.03 1.03 0.82 1.03 0.94

time (sec)

N/A 0.623 0.158 0.161 0.340 0.266 0.100 0.275 9.453

Problem 1362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A B A A B B

verified

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

size

22 0 0 29 49 28 29 51 28

N.S.

1 0.00 0.00 1.32 2.23 1.27 1.32 2.32 1.27

time (sec)

N/A 0.000 0.000 1.103 0.300 0.263 0.253 0.383 10.214

Problem 1363

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 48 43 37 36 36 39 36 36

N.S.

1 1.85 1.65 1.42 1.38 1.38 1.50 1.38 1.38

time (sec)

N/A 0.033 0.114 0.125 0.213 0.259 0.149 0.256 9.164

Problem 1364

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 27 21 18 20 22 20 22 21

N.S.

1 1.12 0.88 0.75 0.83 0.92 0.83 0.92 0.88

time (sec)

N/A 0.183 0.854 0.135 0.284 0.253 0.199 0.254 9.515

Problem 1365

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 16 16 15 16 16 17 16 14

N.S.

1 0.80 0.80 0.75 0.80 0.80 0.85 0.80 0.70

time (sec)

N/A 0.138 0.152 0.152 0.222 0.261 0.097 0.245 9.493

Problem 1366

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

24 41 37 27 36 37 37 38 31

N.S.

1 1.71 1.54 1.12 1.50 1.54 1.54 1.58 1.29

time (sec)

N/A 0.048 0.029 0.124 0.186 0.264 0.329 0.254 0.209

Problem 1367

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 20 28 21 23 24 27 19

N.S.

1 0.00 0.71 1.00 0.75 0.82 0.86 0.96 0.68

time (sec)

N/A 0.000 0.388 0.372 0.236 0.265 0.078 0.270 9.565

Problem 1368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 26 38 0 67 36 0 0

N.S.

1 0.00 1.00 1.46 0.00 2.58 1.38 0.00 0.00

time (sec)

N/A 0.000 0.345 0.376 0.000 0.259 0.187 0.000 0.000

Problem 1369

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

29 81 91 77 297 76 65 76 101

N.S.

1 2.79 3.14 2.66 10.24 2.62 2.24 2.62 3.48

time (sec)

N/A 1.893 0.050 0.624 0.274 0.254 0.119 0.270 9.500

Problem 1370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 72 133 180 130 133 0 135

N.S.

1 0.00 2.18 4.03 5.45 3.94 4.03 0.00 4.09

time (sec)

N/A 0.000 0.267 1.517 0.292 0.274 0.392 0.000 12.012

Problem 1371

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

19 31 15 13 250 17 19 22 14

N.S.

1 1.63 0.79 0.68 13.16 0.89 1.00 1.16 0.74

time (sec)

N/A 0.144 0.154 0.066 0.243 0.275 0.097 0.275 9.015

Problem 1372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 54 42 39 54 32 34 35 26

N.S.

1 2.45 1.91 1.77 2.45 1.45 1.55 1.59 1.18

time (sec)

N/A 0.070 0.034 0.065 0.192 0.251 0.103 0.266 9.428

Problem 1373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

30 36 32 210 33 31 29 1340 0

N.S.

1 1.20 1.07 7.00 1.10 1.03 0.97 44.67 0.00

time (sec)

N/A 1.021 0.182 0.079 1.029 0.254 1.297 4.020 0.000

Problem 1374

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 23 37 37 34 31 37 22

N.S.

1 0.00 0.96 1.54 1.54 1.42 1.29 1.54 0.92

time (sec)

N/A 0.000 0.155 8.479 0.224 0.258 0.485 0.329 8.700

Problem 1375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B F B

verified

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

size

31 0 40 103 74 412 83 0 87

N.S.

1 0.00 1.29 3.32 2.39 13.29 2.68 0.00 2.81

time (sec)

N/A 0.000 0.671 99.124 2.096 0.270 4.033 0.000 9.804

Problem 1376

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 12 12 12 11 11 10 11 11

N.S.

1 1.00 1.00 1.00 0.92 0.92 0.83 0.92 0.92

time (sec)

N/A 0.003 0.000 0.049 0.190 0.255 0.018 0.260 0.041

Problem 1377

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 32 30 32 29 31 29 31 33

N.S.

1 1.19 1.11 1.19 1.07 1.15 1.07 1.15 1.22

time (sec)

N/A 0.318 0.612 0.329 0.388 0.243 0.109 0.296 8.417

Problem 1378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B A B B B B

verified

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

size

27 0 33 75 42 73 71 97 74

N.S.

1 0.00 1.22 2.78 1.56 2.70 2.63 3.59 2.74

time (sec)

N/A 0.000 0.177 0.734 7.161 0.257 0.629 5.629 10.028

Problem 1379

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

26 0 23 46 29 29 32 41 41

N.S.

1 0.00 0.88 1.77 1.12 1.12 1.23 1.58 1.58

time (sec)

N/A 0.000 0.222 0.102 0.436 0.257 16.393 0.267 10.610

Problem 1380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C A A A B

verified

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

size

37 0 36 40 35 57 27 32 33

N.S.

1 0.00 0.97 1.08 0.95 1.54 0.73 0.86 0.89

time (sec)

N/A 0.000 1.048 0.280 0.346 0.252 0.327 0.289 8.240

Problem 1381

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 9 9 9 8 8 7 8 8

N.S.

1 0.64 0.64 0.64 0.57 0.57 0.50 0.57 0.57

time (sec)

N/A 0.003 0.003 0.057 0.175 0.235 0.038 0.253 0.028

Problem 1382

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

24 0 56 67 65 72 75 80 201

N.S.

1 0.00 2.33 2.79 2.71 3.00 3.12 3.33 8.38

time (sec)

N/A 0.000 0.121 141.997 0.817 0.243 0.278 0.552 8.572

Problem 1383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 973 30 29 191 29 24 37 33

N.S.

1 32.43 1.00 0.97 6.37 0.97 0.80 1.23 1.10

time (sec)

N/A 4.049 1.267 0.324 1.103 0.253 0.120 0.269 8.817

Problem 1384

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

22 0 54 44 188 57 53 73 59

N.S.

1 0.00 2.45 2.00 8.55 2.59 2.41 3.32 2.68

time (sec)

N/A 0.000 0.135 0.459 0.289 0.249 0.137 0.293 8.901

Problem 1385

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 38 33 34 48 25 26 26 28

N.S.

1 1.31 1.14 1.17 1.66 0.86 0.90 0.90 0.97

time (sec)

N/A 0.229 0.075 0.237 0.228 0.260 0.140 0.260 8.562

Problem 1386

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

23 0 18 22 16 70 17 0 18

N.S.

1 0.00 0.78 0.96 0.70 3.04 0.74 0.00 0.78

time (sec)

N/A 0.000 0.288 0.243 0.304 0.247 0.107 0.000 8.616

Problem 1387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 0 25 30 30 31 0 50 68

N.S.

1 0.00 0.93 1.11 1.11 1.15 0.00 1.85 2.52

time (sec)

N/A 0.000 0.452 129.774 0.323 0.245 0.000 0.267 8.759

Problem 1388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A A B B A B

verified

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

size

27 0 0 43 44 52 54 45 42

N.S.

1 0.00 0.00 1.59 1.63 1.93 2.00 1.67 1.56

time (sec)

N/A 0.000 0.000 0.119 0.221 0.247 0.170 0.273 8.603

Problem 1389

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

28 22 22 30 19 29 27 53 63

N.S.

1 0.79 0.79 1.07 0.68 1.04 0.96 1.89 2.25

time (sec)

N/A 0.480 0.424 1.650 0.235 0.254 0.320 0.409 8.813

Problem 1390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 36 23 23 0 23 31 23 19

N.S.

1 1.80 1.15 1.15 0.00 1.15 1.55 1.15 0.95

time (sec)

N/A 0.138 0.644 0.344 0.000 0.242 0.123 0.266 0.151

Problem 1391

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 9 9 8 7 7 5 7 7

N.S.

1 0.60 0.60 0.53 0.47 0.47 0.33 0.47 0.47

time (sec)

N/A 0.001 0.001 0.016 0.179 0.238 0.017 0.247 0.017

Problem 1392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 49 28 21 20 21 24 0 21

N.S.

1 1.69 0.97 0.72 0.69 0.72 0.83 0.00 0.72

time (sec)

N/A 0.398 0.042 0.128 0.378 0.248 0.142 0.000 0.132

Problem 1393

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

16 23 20 18 19 19 15 20 16

N.S.

1 1.44 1.25 1.12 1.19 1.19 0.94 1.25 1.00

time (sec)

N/A 0.014 0.012 0.095 0.176 0.232 0.177 0.257 7.745

Problem 1394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 76 25 24 23 23 19 48 23

N.S.

1 2.53 0.83 0.80 0.77 0.77 0.63 1.60 0.77

time (sec)

N/A 0.189 5.106 0.517 0.219 0.258 132.558 0.290 0.180

Problem 1395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A A A A A B

verified

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

size

32 0 0 36 36 36 31 36 32

N.S.

1 0.00 0.00 1.12 1.12 1.12 0.97 1.12 1.00

time (sec)

N/A 0.000 0.000 0.861 0.264 0.249 0.179 0.273 7.525

Problem 1396

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 30 26 32 34 31 32 34 121

N.S.

1 1.25 1.08 1.33 1.42 1.29 1.33 1.42 5.04

time (sec)

N/A 0.201 0.397 1.349 0.230 0.242 0.169 0.316 8.664

Problem 1397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 0 50 81 50 44 0 44

N.S.

1 0.00 0.00 2.27 3.68 2.27 2.00 0.00 2.00

time (sec)

N/A 0.000 0.000 1.267 0.439 0.249 0.243 0.000 8.185

Problem 1398

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

20 20 18 18 19 18 17 36 21

N.S.

1 1.00 0.90 0.90 0.95 0.90 0.85 1.80 1.05

time (sec)

N/A 0.026 0.036 0.082 0.182 0.249 0.107 0.256 7.595

Problem 1399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 51 36 25 0 25 29 36 35

N.S.

1 1.55 1.09 0.76 0.00 0.76 0.88 1.09 1.06

time (sec)

N/A 0.219 0.863 0.227 0.000 0.260 0.145 0.261 7.544

Problem 1400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 0 42 62 58 50 24 0 33

N.S.

1 0.00 1.17 1.72 1.61 1.39 0.67 0.00 0.92

time (sec)

N/A 0.000 0.330 0.370 0.252 0.247 0.143 0.000 7.689