Integrals 401 to 500

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 401

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 18 17 17 15 17 18 17

N.S.

1 1.00 1.00 0.90 0.85 0.85 0.75 0.85 0.90 0.85

time (sec)

N/A 0.169 0.014 0.118 0.030 0.068 0.039 0.113 0.364 0.459

Problem 402

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 90 18 23 48 22 19 77 20 18

N.S.

1 5.00 1.00 1.28 2.67 1.22 1.06 4.28 1.11 1.00

time (sec)

N/A 0.679 0.015 0.341 0.079 0.065 0.085 0.117 0.239 0.499

Problem 403

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 15 15 14 13 29 10 13 17 13

N.S.

1 0.88 0.88 0.82 0.76 1.71 0.59 0.76 1.00 0.76

time (sec)

N/A 0.177 0.037 0.092 0.025 0.064 0.055 0.110 0.298 0.059

Problem 404

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 99 72 84 87 87 92 87 95 84

N.S.

1 3.67 2.67 3.11 3.22 3.22 3.41 3.22 3.52 3.11

time (sec)

N/A 0.286 0.017 0.154 0.025 0.056 0.037 0.112 0.267 0.501

Problem 405

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 12 14 13 14 12 10 14 12 12

N.S.

1 0.71 0.82 0.76 0.82 0.71 0.59 0.82 0.71 0.71

time (sec)

N/A 0.171 0.006 0.064 0.030 0.057 0.040 0.112 0.247 0.021

Problem 406

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 0 0 30 41 36 31 28 35 0

N.S.

1 0.00 0.00 1.25 1.71 1.50 1.29 1.17 1.46 0.00

time (sec)

N/A 0.000 0.000 1.642 0.154 0.073 0.290 0.133 0.267 0.000

Problem 407

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 13 13 14 13 13 8 13 14 12

N.S.

1 0.93 0.93 1.00 0.93 0.93 0.57 0.93 1.00 0.86

time (sec)

N/A 0.372 0.035 0.075 0.061 0.065 0.064 0.114 0.250 0.065

Problem 408

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 16 16 15 14 14 14 14 16 0

N.S.

1 0.89 0.89 0.83 0.78 0.78 0.78 0.78 0.89 0.00

time (sec)

N/A 0.472 0.019 0.587 0.075 0.073 0.084 0.140 0.252 0.000

Problem 409

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 24 11 11 11 10 8 10 12 10

N.S.

1 1.50 0.69 0.69 0.69 0.62 0.50 0.62 0.75 0.62

time (sec)

N/A 0.188 0.018 0.241 0.042 0.061 0.042 0.116 0.268 0.034

Problem 410

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 37 36 30 28 53 24 30 63 27

N.S.

1 1.06 1.03 0.86 0.80 1.51 0.69 0.86 1.80 0.77

time (sec)

N/A 0.448 0.023 0.177 0.042 0.061 0.595 0.123 0.289 0.479

Problem 411

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 34 221 72 54 24 77 74 0

N.S.

1 0.00 1.06 6.91 2.25 1.69 0.75 2.41 2.31 0.00

time (sec)

N/A 0.000 0.120 2.703 0.147 0.076 0.264 0.813 0.256 0.000

Problem 412

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 0 31 31 79 30 0 79 60 78

N.S.

1 0.00 1.07 1.07 2.72 1.03 0.00 2.72 2.07 2.69

time (sec)

N/A 0.000 0.264 0.062 0.469 0.072 0.000 1.281 0.259 1.025

Problem 413

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 0 27 32 0 46 31 0 35 28

N.S.

1 0.00 0.96 1.14 0.00 1.64 1.11 0.00 1.25 1.00

time (sec)

N/A 0.000 0.202 7.525 0.000 0.077 0.836 0.000 0.243 0.608

Problem 414

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 0 0 33 50 51 34 56 58 0

N.S.

1 0.00 0.00 1.10 1.67 1.70 1.13 1.87 1.93 0.00

time (sec)

N/A 0.000 0.000 0.744 0.171 0.072 0.091 0.139 0.259 0.000

Problem 415

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 74 35 19 168 18 29 41 19 26

N.S.

1 3.08 1.46 0.79 7.00 0.75 1.21 1.71 0.79 1.08

time (sec)

N/A 0.836 0.062 0.492 0.170 0.073 0.114 0.121 0.237 0.869

Problem 416

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 52 52 66 82 73 58 442 64 90

N.S.

1 2.36 2.36 3.00 3.73 3.32 2.64 20.09 2.91 4.09

time (sec)

N/A 0.238 0.008 0.288 0.026 0.064 0.061 0.111 0.250 0.462

Problem 417

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 147 23 72 133 95 80 125 85 76

N.S.

1 6.39 1.00 3.13 5.78 4.13 3.48 5.43 3.70 3.30

time (sec)

N/A 0.368 0.146 0.534 0.038 0.073 0.162 0.108 0.257 0.514

Problem 418

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

7 7 7 7 6 6 5 6 9 6

N.S.

1 1.00 1.00 1.00 0.86 0.86 0.71 0.86 1.29 0.86

time (sec)

N/A 0.151 0.012 0.074 0.034 0.056 0.034 0.105 0.217 0.019

Problem 419

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A B A A A A B B

verified

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

size

28 0 37 58 45 38 36 38 37 35

N.S.

1 0.00 1.32 2.07 1.61 1.36 1.29 1.36 1.32 1.25

time (sec)

N/A 0.000 0.099 0.038 0.091 0.075 0.110 0.146 0.237 0.609

Problem 420

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 381 51 74 207 138 87 174 170 126

N.S.

1 11.91 1.59 2.31 6.47 4.31 2.72 5.44 5.31 3.94

time (sec)

N/A 3.254 0.180 15.425 0.175 0.076 0.112 0.124 0.290 0.577

Problem 421

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 21 30 22 21 26 19 22 36 19

N.S.

1 0.88 1.25 0.92 0.88 1.08 0.79 0.92 1.50 0.79

time (sec)

N/A 0.180 0.009 0.216 0.024 0.067 0.087 0.109 0.235 0.100

Problem 422

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A B B B

verified

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

size

31 0 31 27 27 27 22 566 45 168

N.S.

1 0.00 1.00 0.87 0.87 0.87 0.71 18.26 1.45 5.42

time (sec)

N/A 0.000 0.317 67.196 0.195 0.071 0.249 0.397 0.263 0.652

Problem 423

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 71 39 46 46 46 42 51 77 48

N.S.

1 2.73 1.50 1.77 1.77 1.77 1.62 1.96 2.96 1.85

time (sec)

N/A 0.463 0.484 0.458 0.035 0.077 0.069 0.121 0.281 0.077

Problem 424

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 87 31 59 86 55 70 63 69 28

N.S.

1 2.64 0.94 1.79 2.61 1.67 2.12 1.91 2.09 0.85

time (sec)

N/A 0.479 0.202 1.006 0.075 0.068 0.125 0.121 0.234 0.465

Problem 425

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 29 22 23 25 28 19 29 30 23

N.S.

1 1.32 1.00 1.05 1.14 1.27 0.86 1.32 1.36 1.05

time (sec)

N/A 0.216 0.053 0.190 0.030 0.066 0.054 0.113 0.212 0.438

Problem 426

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 0 31 36 47 108 31 0 40 49

N.S.

1 0.00 1.03 1.20 1.57 3.60 1.03 0.00 1.33 1.63

time (sec)

N/A 0.000 0.502 17.421 0.220 0.081 5.568 0.000 0.351 0.826

Problem 427

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 24 24 21 20 20 20 20 23 22

N.S.

1 0.86 0.86 0.75 0.71 0.71 0.71 0.71 0.82 0.79

time (sec)

N/A 0.260 0.071 0.269 0.032 0.065 0.058 0.110 0.234 0.086

Problem 428

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 33 33 30 28 30 31 28 30 28

N.S.

1 1.00 1.00 0.91 0.85 0.91 0.94 0.85 0.91 0.85

time (sec)

N/A 0.209 0.003 0.046 0.026 0.061 0.036 0.114 0.235 0.023

Problem 429

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 52 48 39 36 57 34 47 68 45

N.S.

1 2.00 1.85 1.50 1.38 2.19 1.31 1.81 2.62 1.73

time (sec)

N/A 0.462 0.266 0.408 0.038 0.075 0.071 0.126 0.235 0.518

Problem 430

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 56 56 57 63 53 53 56 47 19

N.S.

1 3.11 3.11 3.17 3.50 2.94 2.94 3.11 2.61 1.06

time (sec)

N/A 0.240 0.013 0.662 0.031 0.069 0.065 0.115 0.207 0.532

Problem 431

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A B B A F F B

verified

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

size

21 0 17 25 49 74 22 0 402 40

N.S.

1 0.00 0.81 1.19 2.33 3.52 1.05 0.00 19.14 1.90

time (sec)

N/A 0.000 5.230 1.747 0.689 0.076 0.640 0.000 0.265 0.620

Problem 432

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A B A A B B B

verified

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

size

32 0 48 51 80 49 44 67 133 110

N.S.

1 0.00 1.50 1.59 2.50 1.53 1.38 2.09 4.16 3.44

time (sec)

N/A 0.000 0.174 1.806 0.367 0.072 0.245 0.644 21.046 0.758

Problem 433

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 180 34 41 36 32 37 0 135 40

N.S.

1 5.14 0.97 1.17 1.03 0.91 1.06 0.00 3.86 1.14

time (sec)

N/A 17.819 0.191 10.593 0.135 0.073 0.194 0.000 200.028 0.734

Problem 434

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 73 31 45 27 41 19 54 69 0

N.S.

1 2.61 1.11 1.61 0.96 1.46 0.68 1.93 2.46 0.00

time (sec)

N/A 1.449 1.237 3.959 0.118 0.077 109.441 0.130 0.240 0.000

Problem 435

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A B A A A A A A F B

verified

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

size

23 62 21 27 29 29 24 30 285 21

N.S.

1 2.70 0.91 1.17 1.26 1.26 1.04 1.30 12.39 0.91

time (sec)

N/A 3.580 0.261 5.244 0.080 0.071 0.286 0.127 0.267 0.576

Problem 436

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A F B B

verified

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

size

27 0 26 30 26 27 31 0 32 47

N.S.

1 0.00 0.96 1.11 0.96 1.00 1.15 0.00 1.19 1.74

time (sec)

N/A 0.000 0.082 19.927 0.209 0.078 2.384 0.000 0.242 0.994

Problem 437

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A B B B B B B B

verified

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

size

25 0 43 53 173 53 41 53 65 48

N.S.

1 0.00 1.72 2.12 6.92 2.12 1.64 2.12 2.60 1.92

time (sec)

N/A 0.000 0.051 6.183 0.154 0.076 0.064 0.280 0.228 0.623

Problem 438

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A B B A F B B

verified

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

size

27 0 30 21 59 56 49 0 72 65

N.S.

1 0.00 1.11 0.78 2.19 2.07 1.81 0.00 2.67 2.41

time (sec)

N/A 0.000 5.072 0.514 0.389 0.085 0.282 0.000 0.228 0.783

Problem 439

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 0 39 32 77 23 49 46 31 43

N.S.

1 0.00 1.39 1.14 2.75 0.82 1.75 1.64 1.11 1.54

time (sec)

N/A 0.000 0.154 0.230 0.077 0.066 0.057 0.118 0.219 0.474

Problem 440

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A F B B

verified

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

size

21 0 21 21 21 21 19 0 23 20

N.S.

1 0.00 1.00 1.00 1.00 1.00 0.90 0.00 1.10 0.95

time (sec)

N/A 0.000 1.980 0.970 0.090 0.066 0.108 0.000 0.225 0.541

Problem 441

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 12 10 11 10 10 7 10 13 10

N.S.

1 0.80 0.67 0.73 0.67 0.67 0.47 0.67 0.87 0.67

time (sec)

N/A 0.171 0.006 0.077 0.027 0.057 0.034 0.117 0.226 0.530

Problem 442

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A A B B

verified

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

size

30 0 27 28 44 56 24 56 58 34

N.S.

1 0.00 0.90 0.93 1.47 1.87 0.80 1.87 1.93 1.13

time (sec)

N/A 0.000 1.618 0.188 0.081 0.071 0.068 0.123 0.224 0.545

Problem 443

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 13 11 12 11 11 10 11 12 9

N.S.

1 0.93 0.79 0.86 0.79 0.79 0.71 0.79 0.86 0.64

time (sec)

N/A 0.149 0.002 0.092 0.030 0.062 0.034 0.116 0.220 0.028

Problem 444

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

9 15 13 11 15 9 8 13 9 9

N.S.

1 1.67 1.44 1.22 1.67 1.00 0.89 1.44 1.00 1.00

time (sec)

N/A 0.163 0.003 0.036 0.033 0.066 0.042 0.112 0.247 0.449

Problem 445

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 33 52 0 51 42 0 200 141

N.S.

1 0.00 1.03 1.62 0.00 1.59 1.31 0.00 6.25 4.41

time (sec)

N/A 0.000 0.344 189.573 0.000 0.076 8.220 0.000 200.023 1.020

Problem 446

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 0 0 32 61 29 36 0 29 0

N.S.

1 0.00 0.00 1.60 3.05 1.45 1.80 0.00 1.45 0.00

time (sec)

N/A 0.000 0.000 1.110 0.174 0.070 0.227 0.000 0.872 0.000

Problem 447

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 50 19 15 41 44 17 14 17 14

N.S.

1 2.17 0.83 0.65 1.78 1.91 0.74 0.61 0.74 0.61

time (sec)

N/A 0.400 0.031 0.862 0.166 0.071 0.179 0.118 0.208 0.112

Problem 448

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 2439 69 32 243 55 26 32 73 239

N.S.

1 78.68 2.23 1.03 7.84 1.77 0.84 1.03 2.35 7.71

time (sec)

N/A 6.840 5.072 1.346 0.372 0.066 0.219 0.122 0.209 0.755

Problem 449

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 241 35 73 259 75 90 82 83 31

N.S.

1 10.48 1.52 3.17 11.26 3.26 3.91 3.57 3.61 1.35

time (sec)

N/A 0.585 0.029 0.233 0.042 0.071 0.118 0.117 0.207 0.539

Problem 450

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 16 21 20 18 20 17 18 20 19

N.S.

1 0.84 1.11 1.05 0.95 1.05 0.89 0.95 1.05 1.00

time (sec)

N/A 0.151 0.000 0.088 0.031 0.061 0.020 0.112 0.217 0.001

Problem 451

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 16 16 16 15 15 12 15 16 15

N.S.

1 0.67 0.67 0.67 0.62 0.62 0.50 0.62 0.67 0.62

time (sec)

N/A 0.183 0.016 0.096 0.028 0.072 0.039 0.112 0.252 0.033

Problem 452

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A A B B

verified

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

size

23 0 23 24 41 42 19 42 33 139

N.S.

1 0.00 1.00 1.04 1.78 1.83 0.83 1.83 1.43 6.04

time (sec)

N/A 0.000 0.084 0.791 0.186 0.070 0.134 0.197 0.307 0.795

Problem 453

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

13 13 16 14 13 13 14 13 18 13

N.S.

1 1.00 1.23 1.08 1.00 1.00 1.08 1.00 1.38 1.00

time (sec)

N/A 0.203 0.000 0.062 0.029 0.061 0.013 0.110 0.355 0.001

Problem 454

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 79 21 16 0 15 0 0 17 15

N.S.

1 3.95 1.05 0.80 0.00 0.75 0.00 0.00 0.85 0.75

time (sec)

N/A 0.276 1.720 0.324 0.000 0.069 0.000 0.000 0.398 0.561

Problem 455

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 44 30 27 26 20 32 26 26 24

N.S.

1 1.57 1.07 0.96 0.93 0.71 1.14 0.93 0.93 0.86

time (sec)

N/A 0.543 0.039 0.396 0.069 0.064 0.140 0.110 0.372 0.593

Problem 456

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

13 11 11 12 11 11 10 11 11 11

N.S.

1 0.85 0.85 0.92 0.85 0.85 0.77 0.85 0.85 0.85

time (sec)

N/A 0.147 0.002 1.660 0.027 0.066 0.039 0.110 0.211 0.471

Problem 457

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B A A F B B

verified

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

size

21 22 19 23 65 22 19 0 22 19

N.S.

1 1.05 0.90 1.10 3.10 1.05 0.90 0.00 1.05 0.90

time (sec)

N/A 0.608 0.019 1.355 0.073 0.075 0.126 0.000 0.216 1.091

Problem 458

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 0 23 40 19 47 0 0 29 24

N.S.

1 0.00 1.00 1.74 0.83 2.04 0.00 0.00 1.26 1.04

time (sec)

N/A 0.000 0.188 0.584 0.087 0.072 0.000 0.000 0.245 0.595

Problem 459

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 27 27 26 19 27 19 21 25 17

N.S.

1 0.93 0.93 0.90 0.66 0.93 0.66 0.72 0.86 0.59

time (sec)

N/A 0.500 0.124 36.468 0.164 0.069 0.265 0.168 0.207 1.290

Problem 460

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 21 21 20 33 19 19 19 19 12

N.S.

1 1.24 1.24 1.18 1.94 1.12 1.12 1.12 1.12 0.71

time (sec)

N/A 0.323 0.008 0.449 0.027 0.080 0.046 0.111 0.224 0.470

Problem 461

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 10 10 8 7 16 7 16 8 7

N.S.

1 1.00 1.00 0.80 0.70 1.60 0.70 1.60 0.80 0.70

time (sec)

N/A 0.217 0.001 0.094 0.034 0.059 0.030 0.114 0.254 0.464

Problem 462

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 13 21 15 14 14 14 14 13 14

N.S.

1 0.93 1.50 1.07 1.00 1.00 1.00 1.00 0.93 1.00

time (sec)

N/A 0.280 0.006 0.205 0.029 0.061 0.045 0.107 0.239 0.036

Problem 463

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 32 28 23 31 24 26 24 26 17

N.S.

1 1.78 1.56 1.28 1.72 1.33 1.44 1.33 1.44 0.94

time (sec)

N/A 0.415 0.048 0.421 0.069 0.069 0.067 0.107 0.237 0.541

Problem 464

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 0 97 88 99 116 71 89 97 0

N.S.

1 0.00 3.23 2.93 3.30 3.87 2.37 2.97 3.23 0.00

time (sec)

N/A 0.000 0.146 61.577 0.121 0.079 2.585 0.200 0.247 0.000

Problem 465

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 21 10 8 16 8 10 7 9 7

N.S.

1 1.31 0.62 0.50 1.00 0.50 0.62 0.44 0.56 0.44

time (sec)

N/A 0.185 0.019 0.058 0.032 0.069 0.037 0.107 0.267 0.438

Problem 466

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 49 27 22 22 21 26 31 23 22

N.S.

1 2.13 1.17 0.96 0.96 0.91 1.13 1.35 1.00 0.96

time (sec)

N/A 0.367 0.024 0.389 0.040 0.070 0.423 0.120 0.259 0.117

Problem 467

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A B A A B B B

verified

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

size

32 0 31 28 89 30 26 65 51 68

N.S.

1 0.00 0.97 0.88 2.78 0.94 0.81 2.03 1.59 2.12

time (sec)

N/A 0.000 1.250 0.496 0.338 0.071 0.565 0.119 0.261 1.543

Problem 468

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 11 11 12 11 11 12 12 11 11

N.S.

1 0.65 0.65 0.71 0.65 0.65 0.71 0.71 0.65 0.65

time (sec)

N/A 0.327 0.078 0.318 0.036 0.075 0.148 0.112 0.234 0.792

Problem 469

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

8 8 8 6 5 5 5 5 6 5

N.S.

1 1.00 1.00 0.75 0.62 0.62 0.62 0.62 0.75 0.62

time (sec)

N/A 0.134 0.000 0.086 0.041 0.057 0.021 0.108 0.212 0.013

Problem 470

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 0 23 16 19 23 12 18 21 15

N.S.

1 0.00 1.05 0.73 0.86 1.05 0.55 0.82 0.95 0.68

time (sec)

N/A 0.000 0.103 0.138 0.088 0.069 0.112 0.114 0.242 0.493

Problem 471

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 38 26 23 32 30 22 33 38 23

N.S.

1 1.58 1.08 0.96 1.33 1.25 0.92 1.38 1.58 0.96

time (sec)

N/A 0.372 0.007 0.330 0.032 0.070 0.074 0.119 0.268 0.516

Problem 472

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 19 19 16 18 18 14 18 17 15

N.S.

1 0.86 0.86 0.73 0.82 0.82 0.64 0.82 0.77 0.68

time (sec)

N/A 0.276 0.000 0.093 0.034 0.056 0.017 0.112 0.249 0.018

Problem 473

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 62 64 0 58 0 0 91 75

N.S.

1 0.00 1.94 2.00 0.00 1.81 0.00 0.00 2.84 2.34

time (sec)

N/A 0.000 0.292 33.742 0.000 0.076 0.000 0.000 0.233 0.874

Problem 474

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 37 16 17 16 16 12 16 16 16

N.S.

1 1.28 0.55 0.59 0.55 0.55 0.41 0.55 0.55 0.55

time (sec)

N/A 0.351 0.007 0.055 0.038 0.063 0.053 0.114 0.262 0.034

Problem 475

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 13 13 10 13 17 7 13 14 9

N.S.

1 0.68 0.68 0.53 0.68 0.89 0.37 0.68 0.74 0.47

time (sec)

N/A 0.184 0.006 0.255 0.025 0.061 0.032 0.113 0.230 0.024

Problem 476

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A A B B

verified

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

size

31 0 30 28 27 27 24 27 34 28

N.S.

1 0.00 0.97 0.90 0.87 0.87 0.77 0.87 1.10 0.90

time (sec)

N/A 0.000 1.234 0.140 0.064 0.071 0.083 0.123 0.267 0.529

Problem 477

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A B A A F B B B B B

verified

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

size

28 65 49 45 0 70 68 165 59 41

N.S.

1 2.32 1.75 1.61 0.00 2.50 2.43 5.89 2.11 1.46

time (sec)

N/A 0.747 0.449 1.033 0.000 0.101 0.100 0.136 0.252 0.633

Problem 478

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F B A B B B F F B

verified

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

size

32 0 107 58 120 62 65 0 254 138

N.S.

1 0.00 3.34 1.81 3.75 1.94 2.03 0.00 7.94 4.31

time (sec)

N/A 0.000 1.036 0.070 0.417 0.077 18.802 0.000 200.032 0.855

Problem 479

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 26 22 20 22 20 20 22 22 23

N.S.

1 1.18 1.00 0.91 1.00 0.91 0.91 1.00 1.00 1.05

time (sec)

N/A 0.169 0.006 0.102 0.025 0.060 0.070 0.109 0.258 0.448

Problem 480

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A B A B B

verified

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

size

23 0 23 24 25 23 53 35 64 20

N.S.

1 0.00 1.00 1.04 1.09 1.00 2.30 1.52 2.78 0.87

time (sec)

N/A 0.000 1.335 7.313 0.158 0.074 10.695 0.178 0.243 0.622

Problem 481

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A B A F B B

verified

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

size

21 0 21 16 21 61 22 0 27 22

N.S.

1 0.00 1.00 0.76 1.00 2.90 1.05 0.00 1.29 1.05

time (sec)

N/A 0.000 2.444 1.604 0.251 0.075 1.594 0.000 0.227 0.558

Problem 482

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A A B B

verified

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

size

15 0 15 16 15 15 10 15 15 15

N.S.

1 0.00 1.00 1.07 1.00 1.00 0.67 1.00 1.00 1.00

time (sec)

N/A 0.000 0.313 3.138 0.069 0.061 0.055 0.123 0.251 0.122

Problem 483

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 47 17 18 29 17 17 32 17 17

N.S.

1 2.35 0.85 0.90 1.45 0.85 0.85 1.60 0.85 0.85

time (sec)

N/A 0.665 0.085 0.773 0.072 0.074 0.135 0.123 0.281 0.618

Problem 484

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 16 15 13 14 15 16 15

N.S.

1 1.00 1.00 1.00 0.94 0.81 0.88 0.94 1.00 0.94

time (sec)

N/A 0.213 0.015 0.348 0.069 0.066 0.100 0.114 0.217 0.546

Problem 485

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 65 22 37 55 39 51 74 21 25

N.S.

1 2.95 1.00 1.68 2.50 1.77 2.32 3.36 0.95 1.14

time (sec)

N/A 0.241 0.016 1.471 0.024 0.067 0.098 0.108 0.226 0.541

Problem 486

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F F A B A A A B B

verified

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

size

28 0 0 27 50 25 22 29 29 25

N.S.

1 0.00 0.00 0.96 1.79 0.89 0.79 1.04 1.04 0.89

time (sec)

N/A 0.000 0.000 0.409 0.155 0.069 0.177 0.498 0.244 0.652

Problem 487

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 18 18 17 18 18 15 20 18 18

N.S.

1 0.82 0.82 0.77 0.82 0.82 0.68 0.91 0.82 0.82

time (sec)

N/A 0.591 0.093 0.467 0.141 0.080 0.074 0.112 0.214 0.568

Problem 488

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A B B B

verified

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

size

25 0 23 20 21 19 17 139 21 19

N.S.

1 0.00 0.92 0.80 0.84 0.76 0.68 5.56 0.84 0.76

time (sec)

N/A 0.000 0.182 0.342 0.163 0.071 0.138 0.140 0.241 0.572

Problem 489

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A F A A A A A B B B

verified

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

size

24 0 27 22 25 25 22 67 52 31

N.S.

1 0.00 1.12 0.92 1.04 1.04 0.92 2.79 2.17 1.29

time (sec)

N/A 0.000 0.486 1.102 0.162 0.070 0.142 0.154 0.249 0.737

Problem 490

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 36 21 22 35 30 46 44 40 20

N.S.

1 1.71 1.00 1.05 1.67 1.43 2.19 2.10 1.90 0.95

time (sec)

N/A 0.211 0.005 0.148 0.032 0.068 0.070 0.137 0.281 0.044

Problem 491

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 17 17 16 15 41 15 41 40 15

N.S.

1 0.94 0.94 0.89 0.83 2.28 0.83 2.28 2.22 0.83

time (sec)

N/A 0.204 0.021 0.091 0.041 0.073 0.073 0.115 0.232 0.516

Problem 492

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 13 15 15 14 23 12 17

N.S.

1 1.00 1.00 0.93 1.07 1.07 1.00 1.64 0.86 1.21

time (sec)

N/A 0.186 0.005 0.072 0.036 0.062 0.116 0.111 0.212 0.041

Problem 493

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 13 8 13 8 11 8 8 10 8

N.S.

1 0.87 0.53 0.87 0.53 0.73 0.53 0.53 0.67 0.53

time (sec)

N/A 0.143 0.000 0.047 0.023 0.049 0.015 0.111 0.234 0.001

Problem 494

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 0 0 192 0 40 31 0 33 30

N.S.

1 0.00 0.00 6.19 0.00 1.29 1.00 0.00 1.06 0.97

time (sec)

N/A 0.000 0.000 0.163 0.000 0.070 57.550 0.000 0.284 0.982

Problem 495

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 22 18 22 20 21 20 23 22 16

N.S.

1 1.38 1.12 1.38 1.25 1.31 1.25 1.44 1.38 1.00

time (sec)

N/A 0.179 0.011 0.153 0.026 0.064 0.112 0.108 0.218 0.042

Problem 496

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 39 14 14 13 13 10 13 14 13

N.S.

1 2.79 1.00 1.00 0.93 0.93 0.71 0.93 1.00 0.93

time (sec)

N/A 0.507 0.014 0.165 0.080 0.062 0.082 0.115 0.245 0.738

Problem 497

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 17 17 18 17 15 14 17 17 17

N.S.

1 1.21 1.21 1.29 1.21 1.07 1.00 1.21 1.21 1.21

time (sec)

N/A 0.218 0.002 0.112 0.036 0.065 0.048 0.121 0.239 0.457

Problem 498

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 23 37 23 38 45 36 38 44 44

N.S.

1 0.82 1.32 0.82 1.36 1.61 1.29 1.36 1.57 1.57

time (sec)

N/A 0.303 0.021 0.164 0.027 0.058 0.436 0.109 0.215 0.499

Problem 499

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 0 20 46 55 49 42 57 41 0

N.S.

1 0.00 0.87 2.00 2.39 2.13 1.83 2.48 1.78 0.00

time (sec)

N/A 0.000 5.022 6.032 0.078 0.071 0.171 0.135 0.212 0.000

Problem 500

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 16 16 22 21 21 24 22 21 16

N.S.

1 0.73 0.73 1.00 0.95 0.95 1.09 1.00 0.95 0.73

time (sec)

N/A 0.179 0.002 0.088 0.037 0.068 0.045 0.116 0.248 0.037