2.2.64 Integrals 6301 to 6400

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 6301

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

22 37 26 34 69 24 26 24 23

N.S.

1 1.68 1.18 1.55 3.14 1.09 1.18 1.09 1.05

time (sec)

N/A 0.074 0.111 0.429 0.275 0.341 0.060 0.387 0.084

Problem 6302

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

17 0 15 15 14 14 14 14 14

N.S.

1 0.00 0.88 0.88 0.82 0.82 0.82 0.82 0.82

time (sec)

N/A 0.941 0.082 0.542 0.532 0.403 0.049 0.394 4.511

Problem 6303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 23 129 0 21 20 24 24

N.S.

1 0.00 0.96 5.38 0.00 0.88 0.83 1.00 1.00

time (sec)

N/A 5.935 0.388 6.660 0.000 0.375 7.023 0.893 4.679

Problem 6304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 25 21 22 21 21 20 28 -1

N.S.

1 0.89 0.75 0.79 0.75 0.75 0.71 1.00 -0.04

time (sec)

N/A 0.232 0.042 9.386 0.545 0.393 0.058 0.427 0.000

Problem 6305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A A B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

19 64 17 18 44 16 15 22 46

N.S.

1 3.37 0.89 0.95 2.32 0.84 0.79 1.16 2.42

time (sec)

N/A 0.114 0.101 0.218 0.710 0.370 0.138 0.460 4.375

Problem 6306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A A A A A B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 164 33 31 50 52 31 78 -1

N.S.

1 4.56 0.92 0.86 1.39 1.44 0.86 2.17 -0.03

time (sec)

N/A 1.315 0.073 58.697 0.540 0.371 0.077 0.412 0.000

Problem 6307

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

24 25 25 25 24 24 20 24 24

N.S.

1 1.04 1.04 1.04 1.00 1.00 0.83 1.00 1.00

time (sec)

N/A 0.532 0.062 0.272 0.574 0.399 0.103 0.410 4.294

Problem 6308

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 31 27 21 15 15 27 15 22

N.S.

1 1.35 1.17 0.91 0.65 0.65 1.17 0.65 0.96

time (sec)

N/A 0.006 0.002 0.255 0.282 0.354 0.078 0.391 0.048

Problem 6309

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 17 17 17 16 16 15 16 16

N.S.

1 1.06 1.06 1.06 1.00 1.00 0.94 1.00 1.00

time (sec)

N/A 0.003 0.003 0.020 0.290 0.356 0.025 0.391 4.175

Problem 6310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A B C A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 51 18 38 372 21 20 35 16

N.S.

1 2.83 1.00 2.11 20.67 1.17 1.11 1.94 0.89

time (sec)

N/A 0.283 0.435 0.450 0.358 0.357 0.092 0.389 4.039

Problem 6311

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

20 29 29 28 31 20 19 20 20

N.S.

1 1.45 1.45 1.40 1.55 1.00 0.95 1.00 1.00

time (sec)

N/A 0.057 0.055 0.574 0.304 0.402 0.066 0.382 0.083

Problem 6312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 29 29 40 27 36 34 0 29

N.S.

1 0.97 0.97 1.33 0.90 1.20 1.13 0.00 0.97

time (sec)

N/A 1.274 0.385 0.984 0.364 0.378 0.312 0.000 4.248

Problem 6313

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

14 0 14 19 15 18 15 18 18

N.S.

1 0.00 1.00 1.36 1.07 1.29 1.07 1.29 1.29

time (sec)

N/A 0.259 0.041 13.003 0.528 0.370 0.047 0.387 4.399

Problem 6314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A B A B

verified

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

size

35 0 43 48 44 42 60 54 179

N.S.

1 0.00 1.23 1.37 1.26 1.20 1.71 1.54 5.11

time (sec)

N/A 3.587 0.072 0.309 0.327 0.362 0.116 0.393 4.448

Problem 6315

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 19 19 20 19 21 17 19 19

N.S.

1 0.86 0.86 0.91 0.86 0.95 0.77 0.86 0.86

time (sec)

N/A 0.005 0.002 0.313 0.273 0.370 0.015 0.373 0.037

Problem 6316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A A A F

verified

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

size

26 0 28 25 585 42 24 44 -1

N.S.

1 0.00 1.08 0.96 22.50 1.62 0.92 1.69 -0.04

time (sec)

N/A 1.822 1.556 1.735 0.567 0.416 0.094 0.462 0.000

Problem 6317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A C A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 55 24 314 42 21 27 21 22

N.S.

1 2.39 1.04 13.65 1.83 0.91 1.17 0.91 0.96

time (sec)

N/A 0.869 0.824 0.665 0.310 0.352 0.331 0.405 4.269

Problem 6318

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 21 21 21 20 20 19 22 20

N.S.

1 0.95 0.95 0.95 0.91 0.91 0.86 1.00 0.91

time (sec)

N/A 0.039 0.011 0.331 0.302 0.351 0.477 0.391 4.373

Problem 6319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B B C B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 74 68 879 189 152 104 205 170

N.S.

1 3.36 3.09 39.95 8.59 6.91 4.73 9.32 7.73

time (sec)

N/A 0.730 0.088 3.327 0.324 0.418 0.102 0.398 4.911

Problem 6320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B B A B A B

verified

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

size

20 0 20 58 107 26 39 38 41

N.S.

1 0.00 1.00 2.90 5.35 1.30 1.95 1.90 2.05

time (sec)

N/A 0.921 0.188 0.896 0.365 0.348 0.190 0.415 4.475

Problem 6321

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

13 12 12 266 14 25 10 14 28

N.S.

1 0.92 0.92 20.46 1.08 1.92 0.77 1.08 2.15

time (sec)

N/A 0.043 0.132 2.479 0.282 0.361 0.038 0.379 4.163

Problem 6322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A A F A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 54 21 20 0 23 19 27 18

N.S.

1 2.45 0.95 0.91 0.00 1.05 0.86 1.23 0.82

time (sec)

N/A 0.168 0.046 0.312 0.000 0.356 0.086 0.380 4.456

Problem 6323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A F A A F B

verified

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

size

28 0 42 28 0 40 34 0 73

N.S.

1 0.00 1.50 1.00 0.00 1.43 1.21 0.00 2.61

time (sec)

N/A 18.028 0.155 2.691 0.000 0.412 8.283 0.000 4.513

Problem 6324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A F F

verified

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

size

25 0 25 24 26 22 20 0 -1

N.S.

1 0.00 1.00 0.96 1.04 0.88 0.80 0.00 -0.04

time (sec)

N/A 6.782 0.077 0.080 0.347 0.388 0.121 0.000 0.000

Problem 6325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A B A B

verified

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

size

30 0 42 42 63 42 41 42 121

N.S.

1 0.00 1.40 1.40 2.10 1.40 1.37 1.40 4.03

time (sec)

N/A 7.927 0.075 1.084 0.544 0.362 4.884 1.003 5.187

Problem 6326

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

28 99 34 71 147 44 32 42 40

N.S.

1 3.54 1.21 2.54 5.25 1.57 1.14 1.50 1.43

time (sec)

N/A 0.261 0.112 0.579 0.339 0.366 0.114 0.392 4.349

Problem 6327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A F A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 45 71 27 30 28 26 29 33

N.S.

1 1.29 2.03 0.77 0.86 0.80 0.74 0.83 0.94

time (sec)

N/A 0.788 1.025 0.076 0.810 0.404 0.219 0.435 4.365

Problem 6328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A A A A A F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

15 54 13 13 12 12 12 0 12

N.S.

1 3.60 0.87 0.87 0.80 0.80 0.80 0.00 0.80

time (sec)

N/A 0.146 0.108 0.298 0.318 0.356 7.099 0.000 4.332

Problem 6329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F F A F A A A F

verified

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

size

32 0 84 44 0 32 27 53 -1

N.S.

1 0.00 2.62 1.38 0.00 1.00 0.84 1.66 -0.03

time (sec)

N/A 9.041 1.285 0.300 0.000 0.367 0.401 0.414 0.000

Problem 6330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B A A A A B

verified

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

size

24 0 31 936 26 28 22 26 46

N.S.

1 0.00 1.29 39.00 1.08 1.17 0.92 1.08 1.92

time (sec)

N/A 1.624 0.095 21.366 0.300 0.378 0.072 0.415 4.600

Problem 6331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 34 43 51 78 62 60 48 32

N.S.

1 1.31 1.65 1.96 3.00 2.38 2.31 1.85 1.23

time (sec)

N/A 1.243 0.069 1.179 0.528 0.348 0.217 0.391 4.237

Problem 6332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 0 19 0 18 0 18 19

N.S.

1 0.00 0.00 0.73 0.00 0.69 0.00 0.69 0.73

time (sec)

N/A 1.808 0.146 0.853 0.000 0.388 0.000 0.388 4.216

Problem 6333

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 25 22 21 22 22 21 20

N.S.

1 0.89 0.89 0.79 0.75 0.79 0.79 0.75 0.71

time (sec)

N/A 0.009 0.005 0.328 0.285 0.345 0.042 0.397 0.052

Problem 6334

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

11 5 5 6 5 5 3 5 5

N.S.

1 0.45 0.45 0.55 0.45 0.45 0.27 0.45 0.45

time (sec)

N/A 0.001 0.000 0.008 0.288 0.341 0.008 0.388 0.031

Problem 6335

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

36 30 31 27 26 26 34 26 24

N.S.

1 0.83 0.86 0.75 0.72 0.72 0.94 0.72 0.67

time (sec)

N/A 0.011 0.011 0.432 0.278 0.393 0.069 0.396 0.049

Problem 6336

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 18 18 18 17 17 14 17 17

N.S.

1 0.90 0.90 0.90 0.85 0.85 0.70 0.85 0.85

time (sec)

N/A 0.009 0.008 0.335 0.287 0.404 0.041 0.393 4.111

Problem 6337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 28 24 33 29 31 56 35 31

N.S.

1 1.27 1.09 1.50 1.32 1.41 2.55 1.59 1.41

time (sec)

N/A 1.059 0.040 0.632 0.315 0.368 0.362 0.441 4.577

Problem 6338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A A A C B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 52 45 587 38 51 36 60 36

N.S.

1 1.58 1.36 17.79 1.15 1.55 1.09 1.82 1.09

time (sec)

N/A 4.060 0.119 1.061 0.524 0.368 0.616 0.429 4.516

Problem 6339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A B B

verified

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

size

23 0 32 35 44 44 29 78 32

N.S.

1 0.00 1.39 1.52 1.91 1.91 1.26 3.39 1.39

time (sec)

N/A 0.373 0.026 5.217 0.559 0.374 0.053 0.784 0.297

Problem 6340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 36 32 26 31 43 29 24 24

N.S.

1 1.71 1.52 1.24 1.48 2.05 1.38 1.14 1.14

time (sec)

N/A 0.033 0.017 0.492 0.278 0.331 0.079 0.403 0.079

Problem 6341

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

29 28 28 28 25 42 24 59 27

N.S.

1 0.97 0.97 0.97 0.86 1.45 0.83 2.03 0.93

time (sec)

N/A 0.150 0.051 7.066 0.310 0.352 0.042 0.398 4.336

Problem 6342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 27 27 399 26 25 24 26 23

N.S.

1 0.93 0.93 13.76 0.90 0.86 0.83 0.90 0.79

time (sec)

N/A 0.131 0.040 0.678 0.315 0.357 0.123 0.398 4.383

Problem 6343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A F

verified

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

size

26 0 25 29 25 31 27 25 -1

N.S.

1 0.00 0.96 1.12 0.96 1.19 1.04 0.96 -0.04

time (sec)

N/A 2.332 0.153 0.360 0.333 0.370 0.095 0.398 0.000

Problem 6344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A C B A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

31 86 35 1157 71 43 76 88 46

N.S.

1 2.77 1.13 37.32 2.29 1.39 2.45 2.84 1.48

time (sec)

N/A 3.025 0.064 1.791 0.513 0.397 0.282 0.423 4.217

Problem 6345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 29 22 90 76 0 103 -1

N.S.

1 0.00 1.12 0.85 3.46 2.92 0.00 3.96 -0.04

time (sec)

N/A 0.993 2.080 1.461 0.351 0.355 0.000 0.401 0.000

Problem 6346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A B A A A A B

verified

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

size

26 0 29 61 35 30 34 30 23

N.S.

1 0.00 1.12 2.35 1.35 1.15 1.31 1.15 0.88

time (sec)

N/A 1.198 0.238 1.095 0.334 0.364 0.067 0.405 4.569

Problem 6347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

13 25 13 12 22 11 0 19 78

N.S.

1 1.92 1.00 0.92 1.69 0.85 0.00 1.46 6.00

time (sec)

N/A 0.268 0.057 0.147 0.307 0.361 0.000 0.405 4.248

Problem 6348

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

21 14 16 17 57 16 12 14 14

N.S.

1 0.67 0.76 0.81 2.71 0.76 0.57 0.67 0.67

time (sec)

N/A 0.015 0.029 0.836 0.484 0.351 0.044 0.384 4.219

Problem 6349

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 27 30 25 22 22 19 22 24

N.S.

1 1.17 1.30 1.09 0.96 0.96 0.83 0.96 1.04

time (sec)

N/A 0.008 0.008 0.042 0.267 0.359 0.030 0.383 4.017

Problem 6350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

24 60 30 28 25 32 31 25 21

N.S.

1 2.50 1.25 1.17 1.04 1.33 1.29 1.04 0.88

time (sec)

N/A 0.021 0.040 0.457 0.273 0.351 0.050 0.403 0.059

Problem 6351

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

11 8 8 9 8 8 7 9 8

N.S.

1 0.73 0.73 0.82 0.73 0.73 0.64 0.82 0.73

time (sec)

N/A 0.002 0.001 0.090 0.294 0.379 0.017 0.395 0.016

Problem 6352

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

19 10 10 10 9 9 10 9 9

N.S.

1 0.53 0.53 0.53 0.47 0.47 0.53 0.47 0.47

time (sec)

N/A 0.001 0.000 0.332 0.296 0.345 0.004 0.384 0.002

Problem 6353

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 25 23 19 18 24 15 18 21

N.S.

1 1.09 1.00 0.83 0.78 1.04 0.65 0.78 0.91

time (sec)

N/A 0.097 0.072 0.563 0.278 0.339 0.122 0.397 4.142

Problem 6354

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 6 6 7 6 6 5 7 6

N.S.

1 0.46 0.46 0.54 0.46 0.46 0.38 0.54 0.46

time (sec)

N/A 0.001 0.002 0.180 0.269 0.374 0.016 0.395 0.015

Problem 6355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A A F B

verified

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

size

33 0 34 32 357 30 27 0 46

N.S.

1 0.00 1.03 0.97 10.82 0.91 0.82 0.00 1.39

time (sec)

N/A 79.843 0.277 2.783 0.619 0.363 13.070 0.000 4.755

Problem 6356

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 17 16 14 14 14 14 14 14

N.S.

1 0.77 0.73 0.64 0.64 0.64 0.64 0.64 0.64

time (sec)

N/A 0.094 0.028 0.075 0.274 0.359 0.031 0.389 4.150

Problem 6357

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

16 22 22 22 79 21 15 25 21

N.S.

1 1.38 1.38 1.38 4.94 1.31 0.94 1.56 1.31

time (sec)

N/A 0.196 0.029 0.026 0.272 0.379 0.119 0.383 4.254

Problem 6358

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

33 98 51 66 81 40 48 41 42

N.S.

1 2.97 1.55 2.00 2.45 1.21 1.45 1.24 1.27

time (sec)

N/A 0.088 0.023 0.356 0.281 0.374 0.125 0.381 4.271

Problem 6359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B A B A A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

19 52 24 212 15 30 15 34 19

N.S.

1 2.74 1.26 11.16 0.79 1.58 0.79 1.79 1.00

time (sec)

N/A 0.117 0.410 1.217 0.536 0.360 0.064 0.396 4.296

Problem 6360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 21 42 30 34 19 0 20

N.S.

1 0.00 0.84 1.68 1.20 1.36 0.76 0.00 0.80

time (sec)

N/A 0.238 0.073 5.085 0.309 0.367 0.058 0.000 5.271

Problem 6361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

16 29 40 41 40 23 27 28 16

N.S.

1 1.81 2.50 2.56 2.50 1.44 1.69 1.75 1.00

time (sec)

N/A 0.034 0.022 0.452 0.269 0.382 0.059 0.382 4.259

Problem 6362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F F C F A A F B

verified

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

size

26 0 0 1475 0 42 34 0 38

N.S.

1 0.00 0.00 56.73 0.00 1.62 1.31 0.00 1.46

time (sec)

N/A 5.869 0.532 1.839 0.000 0.428 0.475 0.000 4.537

Problem 6363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 22 22 28 51 28 54 25 29

N.S.

1 1.22 1.22 1.56 2.83 1.56 3.00 1.39 1.61

time (sec)

N/A 0.057 0.023 1.906 0.548 0.379 0.442 0.405 4.394

Problem 6364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B B B B A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 61 51 46 183 16 31 58 16

N.S.

1 2.77 2.32 2.09 8.32 0.73 1.41 2.64 0.73

time (sec)

N/A 0.110 0.039 1.524 0.515 0.376 0.131 0.402 4.656

Problem 6365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 36 36 29 64 36 42 35 192

N.S.

1 1.29 1.29 1.04 2.29 1.29 1.50 1.25 6.86

time (sec)

N/A 0.956 0.719 0.415 0.540 0.407 0.158 0.388 4.466

Problem 6366

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

22 21 21 45 20 23 14 23 20

N.S.

1 0.95 0.95 2.05 0.91 1.05 0.64 1.05 0.91

time (sec)

N/A 0.011 0.013 1.167 0.353 0.380 0.035 0.390 4.120

Problem 6367

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 18 11 15 16 10 14 10 14

N.S.

1 1.50 0.92 1.25 1.33 0.83 1.17 0.83 1.17

time (sec)

N/A 0.008 0.009 0.352 0.271 0.378 0.033 0.406 0.064

Problem 6368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A F

verified

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

size

32 0 33 38 28 28 42 43 -1

N.S.

1 0.00 1.03 1.19 0.88 0.88 1.31 1.34 -0.03

time (sec)

N/A 5.716 4.014 0.098 0.340 0.371 0.130 0.859 0.000

Problem 6369

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

30 0 23 28 23 23 24 23 26

N.S.

1 0.00 0.77 0.93 0.77 0.77 0.80 0.77 0.87

time (sec)

N/A 2.503 0.137 0.325 0.375 0.395 0.281 0.408 4.394

Problem 6370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A F

verified

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

size

22 0 20 20 18 18 17 18 -1

N.S.

1 0.00 0.91 0.91 0.82 0.82 0.77 0.82 -0.05

time (sec)

N/A 1.401 0.109 0.069 0.319 0.371 0.116 0.422 0.000

Problem 6371

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

17 14 12 14 13 13 10 13 12

N.S.

1 0.82 0.71 0.82 0.76 0.76 0.59 0.76 0.71

time (sec)

N/A 0.003 0.000 0.325 0.270 0.343 0.009 0.384 4.101

Problem 6372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A A A A A F

verified

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

size

29 0 30 24 23 36 22 45 -1

N.S.

1 0.00 1.03 0.83 0.79 1.24 0.76 1.55 -0.03

time (sec)

N/A 0.786 3.675 0.618 0.332 0.387 0.064 0.400 0.000

Problem 6373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F F C A A A A F

verified

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

size

27 0 0 1010 43 28 31 40 -1

N.S.

1 0.00 0.00 37.41 1.59 1.04 1.15 1.48 -0.04

time (sec)

N/A 3.165 6.922 1.406 0.331 0.412 0.092 0.406 0.000

Problem 6374

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

11 9 9 8 7 7 5 7 8

N.S.

1 0.82 0.82 0.73 0.64 0.64 0.45 0.64 0.73

time (sec)

N/A 0.008 0.007 0.036 0.263 0.367 0.035 0.385 0.039

Problem 6375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A C A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 35 20 37 40 26 34 32 33

N.S.

1 1.35 0.77 1.42 1.54 1.00 1.31 1.23 1.27

time (sec)

N/A 0.046 0.029 3.126 0.293 0.366 0.069 0.381 4.162

Problem 6376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 29 30 0 29 26 0 31

N.S.

1 0.00 0.88 0.91 0.00 0.88 0.79 0.00 0.94

time (sec)

N/A 3.444 0.172 1.152 0.000 0.370 0.129 0.000 4.523

Problem 6377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A C C A B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 45 85 11 39 13 10 13 13

N.S.

1 2.25 4.25 0.55 1.95 0.65 0.50 0.65 0.65

time (sec)

N/A 0.126 0.029 1.752 0.280 0.407 0.040 0.385 4.169

Problem 6378

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 24 21 22 148 21 24 21 21

N.S.

1 1.71 1.50 1.57 10.57 1.50 1.71 1.50 1.50

time (sec)

N/A 0.126 0.058 2.828 0.542 0.362 0.057 0.409 0.617

Problem 6379

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 27 24 26 25 26 19 25 27

N.S.

1 0.84 0.75 0.81 0.78 0.81 0.59 0.78 0.84

time (sec)

N/A 0.013 0.006 0.637 0.298 0.367 0.043 0.395 0.058

Problem 6380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F F C A A A A B

verified

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

size

37 0 0 46 53 45 36 51 48

N.S.

1 0.00 0.00 1.24 1.43 1.22 0.97 1.38 1.30

time (sec)

N/A 13.684 6.676 5.798 0.528 0.377 0.579 0.495 4.745

Problem 6381

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

10 15 15 15 14 14 17 14 8

N.S.

1 1.50 1.50 1.50 1.40 1.40 1.70 1.40 0.80

time (sec)

N/A 0.002 0.001 0.452 0.281 0.362 0.009 0.379 0.046

Problem 6382

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

26 0 25 23 102 21 24 80 149

N.S.

1 0.00 0.96 0.88 3.92 0.81 0.92 3.08 5.73

time (sec)

N/A 0.492 0.093 3.819 0.551 0.371 0.114 0.484 4.554

Problem 6383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 31 27 78 23 26 24 23 30

N.S.

1 1.11 0.96 2.79 0.82 0.93 0.86 0.82 1.07

time (sec)

N/A 0.166 0.031 165.301 0.528 0.352 0.375 0.405 4.796

Problem 6384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A A A B

verified

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

size

26 0 21 24 63 21 22 24 21

N.S.

1 0.00 0.81 0.92 2.42 0.81 0.85 0.92 0.81

time (sec)

N/A 0.607 0.056 0.762 0.595 0.364 0.212 0.473 4.543

Problem 6385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A A B A A A B

verified

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

size

30 0 35 30 65 31 24 31 29

N.S.

1 0.00 1.17 1.00 2.17 1.03 0.80 1.03 0.97

time (sec)

N/A 73.712 0.107 0.236 0.527 0.398 0.098 0.403 4.389

Problem 6386

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 30 28 33 31 31 24 31 26

N.S.

1 1.20 1.12 1.32 1.24 1.24 0.96 1.24 1.04

time (sec)

N/A 0.014 0.033 0.519 0.282 0.388 0.075 0.384 4.238

Problem 6387

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 10 19 7 8 8 7 13 6

N.S.

1 0.77 1.46 0.54 0.62 0.62 0.54 1.00 0.46

time (sec)

N/A 0.002 0.002 1.159 0.287 0.335 0.023 0.392 0.057

Problem 6388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F A C A A A A F

verified

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

size

32 0 49 321 44 44 42 46 -1

N.S.

1 0.00 1.53 10.03 1.38 1.38 1.31 1.44 -0.03

time (sec)

N/A 7.758 0.160 0.825 0.496 0.377 6.096 1.386 0.000

Problem 6389

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 21 21 16 15 17 17 17 15

N.S.

1 1.00 1.00 0.76 0.71 0.81 0.81 0.81 0.71

time (sec)

N/A 0.025 0.005 1.173 0.259 0.370 0.026 0.378 4.085

Problem 6390

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

32 0 31 30 50 66 34 54 48

N.S.

1 0.00 0.97 0.94 1.56 2.06 1.06 1.69 1.50

time (sec)

N/A 3.896 0.070 0.388 0.334 0.393 0.094 0.416 4.318

Problem 6391

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

26 174 32 443 368 86 105 103 31

N.S.

1 6.69 1.23 17.04 14.15 3.31 4.04 3.96 1.19

time (sec)

N/A 0.409 1.379 1.239 0.295 0.352 0.093 0.386 4.362

Problem 6392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A F B A B B B B F

verified

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

size

28 0 66 23 106 113 60 130 -1

N.S.

1 0.00 2.36 0.82 3.79 4.04 2.14 4.64 -0.04

time (sec)

N/A 1.590 3.772 1.422 0.368 0.420 0.176 0.553 0.000

Problem 6393

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 26 29 22 19 19 44 19 17

N.S.

1 0.87 0.97 0.73 0.63 0.63 1.47 0.63 0.57

time (sec)

N/A 0.008 0.003 0.404 0.366 0.369 0.072 0.391 4.138

Problem 6394

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

35 0 34 28 27 29 29 0 27

N.S.

1 0.00 0.97 0.80 0.77 0.83 0.83 0.00 0.77

time (sec)

N/A 6.385 0.163 0.552 0.691 0.402 26.246 0.000 4.698

Problem 6395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B B B B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 299 277 401 606 45 51 45 400

N.S.

1 11.50 10.65 15.42 23.31 1.73 1.96 1.73 15.38

time (sec)

N/A 0.368 0.270 1.813 0.524 0.399 0.099 0.394 5.262

Problem 6396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A C B B C B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 217 111 232 219 131 122 230 207

N.S.

1 7.48 3.83 8.00 7.55 4.52 4.21 7.93 7.14

time (sec)

N/A 1.061 0.051 6.628 0.351 0.427 0.119 0.399 4.851

Problem 6397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A B B C B B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 66 60 187 67 151 76 16 84

N.S.

1 3.00 2.73 8.50 3.05 6.86 3.45 0.73 3.82

time (sec)

N/A 0.168 0.040 1.893 0.271 0.358 0.539 0.400 4.332

Problem 6398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 39 39 127 36 36 36 38 36

N.S.

1 1.86 1.86 6.05 1.71 1.71 1.71 1.81 1.71

time (sec)

N/A 0.099 0.057 1.681 0.280 0.367 5.411 0.398 4.374

Problem 6399

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 9 9 10 9 9 7 9 7

N.S.

1 0.45 0.45 0.50 0.45 0.45 0.35 0.45 0.35

time (sec)

N/A 0.001 0.000 0.006 0.279 0.365 0.008 0.387 0.029

Problem 6400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A C C A B A A B B

verified

N/A NO NO TBD TBD TBD TBD TBD TBD

size

24 3127 10260 29 60 28 24 60 25

N.S.

1 130.29 427.50 1.21 2.50 1.17 1.00 2.50 1.04

time (sec)

N/A 5.461 9.195 2.270 0.959 0.369 0.083 0.527 4.390