2.2.94 Integrals 9301 to 9400

Detailed conclusion table per each integral is given by 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 just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 9301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 28 28 27 24 27 22 31 24

N.S.

1 0.93 0.93 0.90 0.80 0.90 0.73 1.03 0.80

time (sec)

N/A 0.330 0.074 0.619 0.268 0.504 0.067 0.415 7.380

Problem 9302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A C B A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

17 21 15 30 36 47 22 21 21

N.S.

1 1.24 0.88 1.76 2.12 2.76 1.29 1.24 1.24

time (sec)

N/A 0.087 0.016 1.809 0.478 0.373 0.045 0.407 9.053

Problem 9303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A B

verified

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

size

28 0 26 26 38 38 22 38 25

N.S.

1 0.00 0.93 0.93 1.36 1.36 0.79 1.36 0.89

time (sec)

N/A 13.842 0.208 0.304 0.355 0.380 0.204 0.456 7.049

Problem 9304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

25 13 13 12 9 11 10 11 11

N.S.

1 0.52 0.52 0.48 0.36 0.44 0.40 0.44 0.44

time (sec)

N/A 0.139 0.036 7.779 0.287 0.383 0.037 0.399 8.779

Problem 9305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

16 14 14 13 12 12 8 14 12

N.S.

1 0.88 0.88 0.81 0.75 0.75 0.50 0.88 0.75

time (sec)

N/A 0.020 0.004 1.390 0.250 0.350 0.028 0.416 7.795

Problem 9306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 48 32 33 37 28 29 28 32

N.S.

1 1.66 1.10 1.14 1.28 0.97 1.00 0.97 1.10

time (sec)

N/A 0.093 0.087 1.727 0.270 0.374 0.246 0.416 0.178

Problem 9307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 25 26 27 24 24 24 24 24

N.S.

1 0.89 0.93 0.96 0.86 0.86 0.86 0.86 0.86

time (sec)

N/A 0.066 0.053 0.096 0.286 0.500 0.084 0.413 7.107

Problem 9308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 32 18 19 0 21 14 18 20

N.S.

1 1.78 1.00 1.06 0.00 1.17 0.78 1.00 1.11

time (sec)

N/A 0.067 0.241 1.065 0.000 0.409 0.035 0.400 0.154

Problem 9309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C B B B B B

verified

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

size

21 0 40 385 42 47 51 51 51

N.S.

1 0.00 1.90 18.33 2.00 2.24 2.43 2.43 2.43

time (sec)

N/A 17.566 0.202 0.663 6.494 0.372 4.081 0.525 8.244

Problem 9310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C A A F(-2) B B

verified

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

size

29 0 33 95 44 45 0 67 55

N.S.

1 0.00 1.14 3.28 1.52 1.55 0.00 2.31 1.90

time (sec)

N/A 6.272 0.150 83.617 0.331 0.396 0.000 0.627 9.716

Problem 9311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B B A B F

verified

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

size

31 0 40 32 59 65 31 59 -1

N.S.

1 0.00 1.29 1.03 1.90 2.10 1.00 1.90 -0.03

time (sec)

N/A 3.707 8.747 0.513 0.328 0.376 0.109 0.433 0.000

Problem 9312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A B

verified

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

size

10 0 11 11 10 10 8 10 10

N.S.

1 0.00 1.10 1.10 1.00 1.00 0.80 1.00 1.00

time (sec)

N/A 0.269 0.123 0.448 0.295 0.369 0.036 0.408 0.132

Problem 9313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 19 19 20 19 19 17 20 19

N.S.

1 0.90 0.90 0.95 0.90 0.90 0.81 0.95 0.90

time (sec)

N/A 0.160 0.012 0.453 0.251 0.459 0.052 0.418 7.571

Problem 9314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F B B F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 30 30 935 0 115 114 0 90

N.S.

1 1.11 1.11 34.63 0.00 4.26 4.22 0.00 3.33

time (sec)

N/A 0.291 0.166 7.023 0.000 0.376 0.477 0.000 9.806

Problem 9315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C F A A A B

verified

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

size

32 0 31 223 0 39 32 33 145

N.S.

1 0.00 0.97 6.97 0.00 1.22 1.00 1.03 4.53

time (sec)

N/A 11.639 0.247 0.946 0.000 0.377 0.693 1.573 9.090

Problem 9316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 21 27 80 20 20 22 20 22

N.S.

1 1.05 1.35 4.00 1.00 1.00 1.10 1.00 1.10

time (sec)

N/A 1.353 0.164 0.325 0.316 0.361 0.657 0.454 7.233

Problem 9317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B B B B B B

verified

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

size

27 0 37 119 107 93 94 107 123

N.S.

1 0.00 1.37 4.41 3.96 3.44 3.48 3.96 4.56

time (sec)

N/A 24.633 0.189 0.872 0.726 0.362 0.503 0.739 9.175

Problem 9318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

16 11 10 11 10 10 12 10 10

N.S.

1 0.69 0.62 0.69 0.62 0.62 0.75 0.62 0.62

time (sec)

N/A 0.005 0.006 0.234 0.265 0.362 0.045 0.396 7.022

Problem 9319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B B B B F(-1) F

verified

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

size

35 0 54 71 89 86 99 0 -1

N.S.

1 0.00 1.54 2.03 2.54 2.46 2.83 0.00 -0.03

time (sec)

N/A 50.892 0.256 11.374 0.357 0.373 0.247 0.000 0.000

Problem 9320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 26 24 997 26 55 37 36 74

N.S.

1 1.18 1.09 45.32 1.18 2.50 1.68 1.64 3.36

time (sec)

N/A 0.864 0.048 11.146 0.259 0.384 0.106 0.464 7.265

Problem 9321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A F A A A A F

verified

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

size

31 0 28 0 43 35 27 33 -1

N.S.

1 0.00 0.90 0.00 1.39 1.13 0.87 1.06 -0.03

time (sec)

N/A 77.042 0.171 180.000 0.551 0.372 1.233 0.719 0.000

Problem 9322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

2 2 2 3 2 2 2 3 2

N.S.

1 1.00 1.00 1.50 1.00 1.00 1.00 1.50 1.00

time (sec)

N/A 0.000 0.000 0.221 0.272 0.338 0.024 0.395 0.006

Problem 9323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B B B B B

verified

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

size

30 0 32 30 66 62 53 71 44

N.S.

1 0.00 1.07 1.00 2.20 2.07 1.77 2.37 1.47

time (sec)

N/A 7.390 0.179 0.735 0.406 0.389 0.168 0.431 8.922

Problem 9324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 11 11 9 8 8 8 8 8

N.S.

1 0.92 0.92 0.75 0.67 0.67 0.67 0.67 0.67

time (sec)

N/A 0.006 0.003 0.427 0.266 0.383 0.019 0.395 0.057

Problem 9325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

15 15 15 13 12 12 14 12 12

N.S.

1 1.00 1.00 0.87 0.80 0.80 0.93 0.80 0.80

time (sec)

N/A 0.015 0.023 0.240 0.258 0.347 0.029 0.407 0.118

Problem 9326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A B B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 77 23 71 62 62 63 62 21

N.S.

1 3.50 1.05 3.23 2.82 2.82 2.86 2.82 0.95

time (sec)

N/A 0.502 2.814 0.444 0.263 0.361 0.072 0.391 7.064

Problem 9327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A F F(-1) B B B B

verified

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

size

30 0 31 0 0 147 143 175 1157

N.S.

1 0.00 1.03 0.00 0.00 4.90 4.77 5.83 38.57

time (sec)

N/A 104.378 0.443 3.223 0.000 0.375 5.091 21.675 9.001

Problem 9328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

39 51 52 36 35 54 41 35 35

N.S.

1 1.31 1.33 0.92 0.90 1.38 1.05 0.90 0.90

time (sec)

N/A 0.053 0.054 0.577 0.255 0.362 0.149 0.417 0.189

Problem 9329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C B A A A B

verified

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

size

25 0 29 59 50 29 29 40 29

N.S.

1 0.00 1.16 2.36 2.00 1.16 1.16 1.60 1.16

time (sec)

N/A 0.588 0.117 22.042 0.506 0.365 0.208 0.434 7.541

Problem 9330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

25 107 45 160 54 33 0 0 39

N.S.

1 4.28 1.80 6.40 2.16 1.32 0.00 0.00 1.56

time (sec)

N/A 1.001 0.099 1.076 0.687 0.409 0.000 0.000 8.077

Problem 9331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F F C A B B B B

verified

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

size

29 0 0 1028 38 97 90 125 78

N.S.

1 0.00 0.00 35.45 1.31 3.34 3.10 4.31 2.69

time (sec)

N/A 4.078 0.585 65.041 0.535 0.380 0.622 4.182 8.282

Problem 9332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 22 33 0 32 0 20 21

N.S.

1 0.00 0.88 1.32 0.00 1.28 0.00 0.80 0.84

time (sec)

N/A 5.678 0.054 0.261 0.000 0.356 0.000 0.450 8.035

Problem 9333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

31 31 27 33 27 40 19 25 25

N.S.

1 1.00 0.87 1.06 0.87 1.29 0.61 0.81 0.81

time (sec)

N/A 0.142 0.019 0.243 0.269 0.351 0.048 0.409 0.083

Problem 9334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

16 12 12 12 11 11 12 11 11

N.S.

1 0.75 0.75 0.75 0.69 0.69 0.75 0.69 0.69

time (sec)

N/A 0.140 0.057 0.127 0.303 0.480 0.315 0.423 7.573

Problem 9335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 24 26 28 22 33 22 22 21

N.S.

1 1.04 1.13 1.22 0.96 1.43 0.96 0.96 0.91

time (sec)

N/A 0.066 0.023 3.273 0.260 0.347 0.105 0.406 0.190

Problem 9336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B F B B F B

verified

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

size

29 0 25 113 0 93 654 0 155

N.S.

1 0.00 0.86 3.90 0.00 3.21 22.55 0.00 5.34

time (sec)

N/A 18.679 0.341 1.026 0.000 0.365 0.455 0.000 9.708

Problem 9337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A C A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 24 24 23 79 26 20 30 24

N.S.

1 1.09 1.09 1.05 3.59 1.18 0.91 1.36 1.09

time (sec)

N/A 0.037 0.045 0.395 0.285 0.437 0.075 0.422 8.382

Problem 9338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A C A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 43 26 27 37 26 31 35 -1

N.S.

1 1.59 0.96 1.00 1.37 0.96 1.15 1.30 -0.04

time (sec)

N/A 1.005 0.195 0.074 0.314 0.376 0.203 0.437 0.000

Problem 9339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

19 22 22 52 30 22 32 22 22

N.S.

1 1.16 1.16 2.74 1.58 1.16 1.68 1.16 1.16

time (sec)

N/A 0.378 0.055 1.178 0.281 0.373 0.225 0.416 7.699

Problem 9340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A F F A F(-1) F B

verified

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

size

23 0 23 0 0 39 0 0 20

N.S.

1 0.00 1.00 0.00 0.00 1.70 0.00 0.00 0.87

time (sec)

N/A 1.925 0.138 0.227 0.000 0.369 0.000 0.000 7.780

Problem 9341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A B

verified

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

size

25 0 28 27 28 28 41 28 26

N.S.

1 0.00 1.12 1.08 1.12 1.12 1.64 1.12 1.04

time (sec)

N/A 1.997 0.145 47.129 0.282 0.370 0.136 0.430 7.485

Problem 9342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F(-1) A F F B B F B

verified

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

size

22 0 22 0 0 119 117 0 122

N.S.

1 0.00 1.00 0.00 0.00 5.41 5.32 0.00 5.55

time (sec)

N/A 180.036 0.287 0.107 0.000 0.403 0.515 0.000 7.373

Problem 9343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A A B B

verified

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

size

17 0 19 20 36 19 14 72 19

N.S.

1 0.00 1.12 1.18 2.12 1.12 0.82 4.24 1.12

time (sec)

N/A 0.321 0.064 55.152 0.311 0.341 0.052 0.416 0.316

Problem 9344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 30 22 26 62 25 24 25 38

N.S.

1 1.11 0.81 0.96 2.30 0.93 0.89 0.93 1.41

time (sec)

N/A 8.451 0.181 2.617 0.555 0.363 0.232 0.645 8.263

Problem 9345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B F(-2) A B B F

verified

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

size

35 0 36 60 0 50 46 122 -1

N.S.

1 0.00 1.03 1.71 0.00 1.43 1.31 3.49 -0.03

time (sec)

N/A 8.097 0.209 1.151 0.000 0.408 0.536 0.463 0.000

Problem 9346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 34 32 27 27 27 32 27 13

N.S.

1 1.89 1.78 1.50 1.50 1.50 1.78 1.50 0.72

time (sec)

N/A 0.014 0.004 0.310 0.261 0.364 0.011 0.410 0.037

Problem 9347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A B A A B

verified

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

size

31 0 30 29 36 64 29 52 50

N.S.

1 0.00 0.97 0.94 1.16 2.06 0.94 1.68 1.61

time (sec)

N/A 1.447 3.148 0.843 0.327 0.377 0.143 0.629 0.351

Problem 9348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 24 24 26 20 40 26 22 22

N.S.

1 1.04 1.04 1.13 0.87 1.74 1.13 0.96 0.96

time (sec)

N/A 0.123 0.051 0.484 0.262 0.382 0.101 0.412 7.439

Problem 9349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 49 45 40 39 39 42 39 41

N.S.

1 1.69 1.55 1.38 1.34 1.34 1.45 1.34 1.41

time (sec)

N/A 0.049 0.187 0.686 0.254 0.387 0.050 0.398 0.215

Problem 9350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C B A A A B

verified

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

size

23 0 29 1016 139 34 31 34 24

N.S.

1 0.00 1.26 44.17 6.04 1.48 1.35 1.48 1.04

time (sec)

N/A 23.230 0.270 2.646 0.257 0.383 0.069 0.419 1.286

Problem 9351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 23 20 19 19 19 19 19

N.S.

1 1.00 1.15 1.00 0.95 0.95 0.95 0.95 0.95

time (sec)

N/A 0.023 0.019 0.625 0.261 0.387 0.029 0.426 7.190

Problem 9352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F C A A A A A B

verified

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

size

23 0 30 19 23 23 14 27 18

N.S.

1 0.00 1.30 0.83 1.00 1.00 0.61 1.17 0.78

time (sec)

N/A 0.728 0.101 3.637 0.305 0.365 0.164 0.411 7.487

Problem 9353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A B F(-1) F

verified

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

size

33 0 60 57 55 53 71 0 -1

N.S.

1 0.00 1.82 1.73 1.67 1.61 2.15 0.00 -0.03

time (sec)

N/A 2.725 8.181 1.877 0.323 0.374 0.108 0.000 0.000

Problem 9354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A F(-1) A B

verified

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

size

30 0 29 34 68 33 0 41 22

N.S.

1 0.00 0.97 1.13 2.27 1.10 0.00 1.37 0.73

time (sec)

N/A 1.296 0.144 1.283 0.523 0.479 0.000 0.435 7.746

Problem 9355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 21 21 20 26 20 19 26 26

N.S.

1 1.05 1.05 1.00 1.30 1.00 0.95 1.30 1.30

time (sec)

N/A 0.297 0.122 2.283 0.522 0.374 0.160 0.492 8.246

Problem 9356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

14 27 27 24 32 21 24 21 13

N.S.

1 1.93 1.93 1.71 2.29 1.50 1.71 1.50 0.93

time (sec)

N/A 0.050 0.012 0.230 0.268 0.346 0.050 0.413 7.301

Problem 9357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A C A B B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

19 370 19 412 259 257 296 271 231

N.S.

1 19.47 1.00 21.68 13.63 13.53 15.58 14.26 12.16

time (sec)

N/A 0.472 0.055 0.602 0.498 0.418 0.245 0.419 0.412

Problem 9358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A B A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 63 20 64 37 37 32 37 32

N.S.

1 3.50 1.11 3.56 2.06 2.06 1.78 2.06 1.78

time (sec)

N/A 1.028 0.074 3.363 0.290 0.355 0.053 0.401 8.369

Problem 9359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F C B B B B B B

verified

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

size

32 0 277 65 93 59 80 141 39

N.S.

1 0.00 8.66 2.03 2.91 1.84 2.50 4.41 1.22

time (sec)

N/A 36.086 0.613 3.690 0.535 0.362 0.298 0.492 0.462

Problem 9360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 34 25 35 29 27 29 31 684

N.S.

1 1.62 1.19 1.67 1.38 1.29 1.38 1.48 32.57

time (sec)

N/A 0.166 0.024 0.465 0.260 0.439 0.408 0.432 10.305

Problem 9361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

13 13 11 22 33 11 10 11 11

N.S.

1 1.00 0.85 1.69 2.54 0.85 0.77 0.85 0.85

time (sec)

N/A 0.081 0.052 0.636 0.301 0.366 0.050 0.401 7.688

Problem 9362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 16 17 16 11 11 14 12 11

N.S.

1 0.89 0.94 0.89 0.61 0.61 0.78 0.67 0.61

time (sec)

N/A 0.013 0.004 0.651 0.275 0.364 0.038 0.394 7.969

Problem 9363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B A B B B F

verified

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

size

28 0 54 72 43 105 60 55 -1

N.S.

1 0.00 1.93 2.57 1.54 3.75 2.14 1.96 -0.04

time (sec)

N/A 24.116 0.181 0.204 0.307 0.427 3.359 0.453 0.000

Problem 9364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A B

verified

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

size

22 0 20 19 30 30 14 21 18

N.S.

1 0.00 0.91 0.86 1.36 1.36 0.64 0.95 0.82

time (sec)

N/A 0.263 2.303 46.833 0.294 0.371 0.048 0.401 7.598

Problem 9365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A B

verified

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

size

24 0 23 23 35 29 15 37 45

N.S.

1 0.00 0.96 0.96 1.46 1.21 0.62 1.54 1.88

time (sec)

N/A 1.225 1.762 26.246 0.290 0.379 0.100 0.417 6.338

Problem 9366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B B F(-2) B B

verified

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

size

23 0 35 33 52 62 0 66 30

N.S.

1 0.00 1.52 1.43 2.26 2.70 0.00 2.87 1.30

time (sec)

N/A 1.421 1.720 0.555 0.299 0.377 0.000 0.425 0.270

Problem 9367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 12 12 9 8 8 12 9 8

N.S.

1 0.60 0.60 0.45 0.40 0.40 0.60 0.45 0.40

time (sec)

N/A 0.004 0.002 0.234 0.251 0.355 0.018 0.421 5.432

Problem 9368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

9 9 9 11 8 8 7 8 8

N.S.

1 1.00 1.00 1.22 0.89 0.89 0.78 0.89 0.89

time (sec)

N/A 0.016 0.004 0.490 0.271 0.368 0.031 0.408 5.429

Problem 9369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A C A B F A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

34 167 36 119 0 66 66 177 39

N.S.

1 4.91 1.06 3.50 0.00 1.94 1.94 5.21 1.15

time (sec)

N/A 4.189 0.094 1.879 0.000 0.385 0.316 0.410 7.785

Problem 9370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F(-1) A A A A A A B

verified

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

size

20 0 22 19 16 16 24 16 16

N.S.

1 0.00 1.10 0.95 0.80 0.80 1.20 0.80 0.80

time (sec)

N/A 0.000 0.066 1.177 0.300 0.378 0.100 0.702 7.460

Problem 9371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A B F B

verified

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

size

29 0 50 54 50 53 51 0 47

N.S.

1 0.00 1.72 1.86 1.72 1.83 1.76 0.00 1.62

time (sec)

N/A 1.628 0.726 0.469 0.338 0.398 0.162 0.000 9.272

Problem 9372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 46 35 27 50 39 29 34 22

N.S.

1 1.64 1.25 0.96 1.79 1.39 1.04 1.21 0.79

time (sec)

N/A 0.116 0.258 1.136 0.292 0.398 0.224 0.405 0.490

Problem 9373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A B

verified

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

size

23 0 22 23 29 29 19 22 22

N.S.

1 0.00 0.96 1.00 1.26 1.26 0.83 0.96 0.96

time (sec)

N/A 1.292 0.162 2.004 0.295 0.361 0.122 0.407 7.537

Problem 9374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 24 24 21 20 20 22 20 22

N.S.

1 1.09 1.09 0.95 0.91 0.91 1.00 0.91 1.00

time (sec)

N/A 0.043 0.011 0.666 0.252 0.380 0.186 0.409 0.159

Problem 9375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C A A A B B

verified

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

size

28 0 27 157 32 32 31 50 32

N.S.

1 0.00 0.96 5.61 1.14 1.14 1.11 1.79 1.14

time (sec)

N/A 65.322 0.136 0.720 0.272 0.369 0.116 0.419 9.210

Problem 9376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B B A C A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 42 42 37 48 29 31 28 17

N.S.

1 2.10 2.10 1.85 2.40 1.45 1.55 1.40 0.85

time (sec)

N/A 0.313 0.040 0.448 0.288 0.376 0.087 0.406 8.856

Problem 9377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A B B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 67 43 66 59 59 82 63 55

N.S.

1 2.39 1.54 2.36 2.11 2.11 2.93 2.25 1.96

time (sec)

N/A 0.054 0.037 0.719 0.257 0.431 0.100 0.404 5.475

Problem 9378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A F B

verified

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

size

25 0 26 25 30 24 20 0 22

N.S.

1 0.00 1.04 1.00 1.20 0.96 0.80 0.00 0.88

time (sec)

N/A 4.024 0.582 0.284 0.333 0.369 0.285 0.000 6.290

Problem 9379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 15 18 18 11 11 17 11 12

N.S.

1 0.71 0.86 0.86 0.52 0.52 0.81 0.52 0.57

time (sec)

N/A 0.016 0.007 0.447 0.251 0.349 0.143 0.399 0.097

Problem 9380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

13 18 16 20 16 16 19 16 15

N.S.

1 1.38 1.23 1.54 1.23 1.23 1.46 1.23 1.15

time (sec)

N/A 0.003 0.003 0.423 0.269 0.358 0.009 0.403 0.174

Problem 9381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 34 34 47 40 40 32 40 30

N.S.

1 1.55 1.55 2.14 1.82 1.82 1.45 1.82 1.36

time (sec)

N/A 0.019 0.008 0.612 0.267 0.371 0.015 0.418 0.043

Problem 9382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

25 70 31 43 36 42 34 36 28

N.S.

1 2.80 1.24 1.72 1.44 1.68 1.36 1.44 1.12

time (sec)

N/A 0.127 1.084 1.174 0.314 0.382 0.108 0.422 0.194

Problem 9383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 38 28 48 48 49 42 66 42

N.S.

1 1.36 1.00 1.71 1.71 1.75 1.50 2.36 1.50

time (sec)

N/A 0.303 0.037 0.522 0.268 0.379 0.088 0.421 6.340

Problem 9384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

32 29 29 29 30 22 22 22 21

N.S.

1 0.91 0.91 0.91 0.94 0.69 0.69 0.69 0.66

time (sec)

N/A 0.058 0.015 0.953 0.270 0.368 0.079 0.420 7.960

Problem 9385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A A A A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 83 25 24 23 23 22 57 24

N.S.

1 3.07 0.93 0.89 0.85 0.85 0.81 2.11 0.89

time (sec)

N/A 1.213 0.642 0.171 0.311 0.370 0.608 0.435 7.539

Problem 9386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 32 30 64 67 59 58 72 31

N.S.

1 1.39 1.30 2.78 2.91 2.57 2.52 3.13 1.35

time (sec)

N/A 0.373 0.064 2.094 0.466 0.371 0.142 0.532 10.412

Problem 9387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 44 33 51 43 27 34 27 37

N.S.

1 1.63 1.22 1.89 1.59 1.00 1.26 1.00 1.37

time (sec)

N/A 0.051 0.025 0.459 0.258 0.375 0.110 0.406 8.112

Problem 9388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F(-2) F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

24 26 24 24 0 26 0 0 -1

N.S.

1 1.08 1.00 1.00 0.00 1.08 0.00 0.00 -0.04

time (sec)

N/A 0.211 0.136 0.629 0.000 0.366 0.000 0.000 0.000

Problem 9389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 24 22 20 19 19 17 19 19

N.S.

1 1.14 1.05 0.95 0.90 0.90 0.81 0.90 0.90

time (sec)

N/A 0.024 0.007 3.031 0.259 0.354 0.078 0.397 7.582

Problem 9390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C A B B B B

verified

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

size

25 0 44 371 49 53 49 61 50

N.S.

1 0.00 1.76 14.84 1.96 2.12 1.96 2.44 2.00

time (sec)

N/A 12.712 0.131 12.034 0.569 0.379 1.460 0.831 9.882

Problem 9391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A B B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 56 24 46 142 32 31 32 21

N.S.

1 2.67 1.14 2.19 6.76 1.52 1.48 1.52 1.00

time (sec)

N/A 0.368 0.205 0.143 0.268 0.371 0.040 0.420 8.741

Problem 9392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A B

verified

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

size

21 0 21 21 35 20 17 20 20

N.S.

1 0.00 1.00 1.00 1.67 0.95 0.81 0.95 0.95

time (sec)

N/A 10.066 0.339 0.286 0.297 0.420 0.112 0.478 6.743

Problem 9393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C A A A A B

verified

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

size

30 0 32 149 32 31 29 33 31

N.S.

1 0.00 1.07 4.97 1.07 1.03 0.97 1.10 1.03

time (sec)

N/A 7.304 0.079 0.808 0.740 0.357 3.992 0.570 8.803

Problem 9394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

13 11 12 13 12 12 12 13 12

N.S.

1 0.85 0.92 1.00 0.92 0.92 0.92 1.00 0.92

time (sec)

N/A 0.011 0.004 1.794 0.262 0.366 0.082 0.404 0.107

Problem 9395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A F A A A B

verified

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

size

23 0 23 20 0 20 17 20 20

N.S.

1 0.00 1.00 0.87 0.00 0.87 0.74 0.87 0.87

time (sec)

N/A 4.502 0.401 0.505 0.000 0.394 13.437 0.412 8.156

Problem 9396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

16 14 14 15 14 14 14 14 12

N.S.

1 0.88 0.88 0.94 0.88 0.88 0.88 0.88 0.75

time (sec)

N/A 0.005 0.000 0.612 0.259 0.343 0.008 0.407 0.029

Problem 9397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B B B F B B B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 87 87 81 0 83 75 119 -1

N.S.

1 3.95 3.95 3.68 0.00 3.77 3.41 5.41 -0.05

time (sec)

N/A 1.769 0.391 0.416 0.000 0.361 3.149 0.413 0.000

Problem 9398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 15 14 18 14 13 14 14 13

N.S.

1 0.83 0.78 1.00 0.78 0.72 0.78 0.78 0.72

time (sec)

N/A 0.004 0.000 0.017 0.259 0.355 0.006 0.424 0.002

Problem 9399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 25 31 57 49 49 20 23 27

N.S.

1 0.96 1.19 2.19 1.88 1.88 0.77 0.88 1.04

time (sec)

N/A 0.573 0.143 2.397 0.287 0.380 0.044 0.425 7.503

Problem 9400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F(-1) A A B B A F(-1) B

verified

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

size

37 0 67 44 474 86 41 0 83

N.S.

1 0.00 1.81 1.19 12.81 2.32 1.11 0.00 2.24

time (sec)

N/A 180.001 0.991 0.851 2.350 0.390 1.258 0.000 9.524