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 B B B B B B B B B

verified

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

size

29 711 207 603 610 374 442 627 547 309

N.S.

1 24.52 7.14 20.79 21.03 12.90 15.24 21.62 18.86 10.66

time (sec)

N/A 0.982 0.058 0.122 0.049 0.091 0.430 0.129 0.255 3.044

Problem 402

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 30 27 30 30 24 29 30 28

N.S.

1 0.00 1.00 0.90 1.00 1.00 0.80 0.97 1.00 0.93

time (sec)

N/A 0.000 3.444 0.132 0.070 0.082 0.134 0.120 0.263 0.131

Problem 403

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 149 24 24 157 32 0 0 30 71

N.S.

1 5.73 0.92 0.92 6.04 1.23 0.00 0.00 1.15 2.73

time (sec)

N/A 1.750 0.065 88.858 0.306 0.076 0.000 0.000 0.260 2.708

Problem 404

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

18 18 18 16 15 17 14 17 16 17

N.S.

1 1.00 1.00 0.89 0.83 0.94 0.78 0.94 0.89 0.94

time (sec)

N/A 0.302 0.004 0.260 0.036 0.080 0.083 0.113 0.217 2.423

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

20 20 13 13 27 12 10 12 10 10

N.S.

1 1.00 0.65 0.65 1.35 0.60 0.50 0.60 0.50 0.50

time (sec)

N/A 0.329 0.007 0.227 0.046 0.076 0.118 0.113 0.218 2.485

Problem 406

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 0 47 44 65 68 71 82 88 0

N.S.

1 0.00 1.57 1.47 2.17 2.27 2.37 2.73 2.93 0.00

time (sec)

N/A 0.000 0.122 55.962 0.146 0.093 0.645 0.226 0.262 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

2 2 2 3 2 2 2 3 2 2

N.S.

1 1.00 1.00 1.50 1.00 1.00 1.00 1.50 1.00 1.00

time (sec)

N/A 0.130 0.000 0.023 0.029 0.083 0.097 0.117 0.230 0.004

Problem 408

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 0 28 29 73 28 100 47 98 0

N.S.

1 0.00 0.97 1.00 2.52 0.97 3.45 1.62 3.38 0.00

time (sec)

N/A 0.000 0.244 1.140 0.134 0.088 0.587 0.422 0.245 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

9 7 7 7 6 6 3 6 7 6

N.S.

1 0.78 0.78 0.78 0.67 0.67 0.33 0.67 0.78 0.67

time (sec)

N/A 0.241 0.001 0.040 0.026 0.070 0.056 0.107 0.238 0.014

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

20 13 12 12 19 14 8 11 15 9

N.S.

1 0.65 0.60 0.60 0.95 0.70 0.40 0.55 0.75 0.45

time (sec)

N/A 0.514 0.027 0.117 0.033 0.077 0.119 0.112 0.222 0.048

Problem 411

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 23 23 38 37 55 0 0 44 38

N.S.

1 0.92 0.92 1.52 1.48 2.20 0.00 0.00 1.76 1.52

time (sec)

N/A 0.949 0.047 0.499 0.089 0.085 0.000 0.000 0.242 2.722

Problem 412

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

28 220 129 303 249 275 326 423 489 205

N.S.

1 7.86 4.61 10.82 8.89 9.82 11.64 15.11 17.46 7.32

time (sec)

N/A 2.095 0.668 1.882 0.161 0.096 0.217 0.346 0.226 2.869

Problem 413

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 127 25 21 22 39 26 0 65 22

N.S.

1 5.08 1.00 0.84 0.88 1.56 1.04 0.00 2.60 0.88

time (sec)

N/A 0.748 0.429 49.931 0.240 0.084 4.565 0.000 200.023 2.698

Problem 414

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

22 0 22 21 20 20 19 20 27 21

N.S.

1 0.00 1.00 0.95 0.91 0.91 0.86 0.91 1.23 0.95

time (sec)

N/A 0.000 0.033 0.065 0.038 0.103 0.117 0.116 0.248 2.440

Problem 415

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 55 64 32 53 55 56 58 66 73

N.S.

1 2.50 2.91 1.45 2.41 2.50 2.55 2.64 3.00 3.32

time (sec)

N/A 0.320 0.023 0.245 0.028 0.081 0.228 0.112 0.219 0.143

Problem 416

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 103 16 34 33 33 37 33 45 36

N.S.

1 5.72 0.89 1.89 1.83 1.83 2.06 1.83 2.50 2.00

time (sec)

N/A 0.336 1.039 0.388 0.158 0.082 0.091 0.148 0.224 2.476

Problem 417

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 17 20 21 20 20 19 20 20 20

N.S.

1 1.00 1.18 1.24 1.18 1.18 1.12 1.18 1.18 1.18

time (sec)

N/A 0.570 0.218 0.174 0.068 0.082 0.124 0.126 0.227 0.189

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

11 8 8 7 6 6 7 6 8 6

N.S.

1 0.73 0.73 0.64 0.55 0.55 0.64 0.55 0.73 0.55

time (sec)

N/A 0.132 0.000 0.014 0.033 0.073 0.016 0.113 0.234 0.002

Problem 419

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

11 11 11 10 9 9 8 9 9 9

N.S.

1 1.00 1.00 0.91 0.82 0.82 0.73 0.82 0.82 0.82

time (sec)

N/A 0.164 0.004 0.109 0.036 0.081 0.053 0.116 0.241 2.404

Problem 420

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 28 30 30 30 26 30 29 29

N.S.

1 0.00 1.22 1.30 1.30 1.30 1.13 1.30 1.26 1.26

time (sec)

N/A 0.000 0.010 0.078 0.028 0.070 0.328 0.116 0.289 0.124

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

19 19 17 16 15 16 17 16 17 16

N.S.

1 1.00 0.89 0.84 0.79 0.84 0.89 0.84 0.89 0.84

time (sec)

N/A 0.296 0.018 0.119 0.178 0.072 0.103 0.112 0.255 2.934

Problem 422

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 15 15 12 15 15 12 16 22 11

N.S.

1 1.00 1.00 0.80 1.00 1.00 0.80 1.07 1.47 0.73

time (sec)

N/A 0.193 0.004 0.125 0.027 0.070 0.051 0.115 0.270 0.048

Problem 423

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

27 0 25 33 25 33 24 33 65 213

N.S.

1 0.00 0.93 1.22 0.93 1.22 0.89 1.22 2.41 7.89

time (sec)

N/A 0.000 0.051 2.378 0.095 0.084 0.132 0.310 0.219 11.132

Problem 424

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

21 11 11 9 9 9 10 9 8 8

N.S.

1 0.52 0.52 0.43 0.43 0.43 0.48 0.43 0.38 0.38

time (sec)

N/A 0.140 0.001 0.018 0.037 0.066 0.019 0.111 0.247 0.028

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

24 23 26 23 22 22 17 22 23 22

N.S.

1 0.96 1.08 0.96 0.92 0.92 0.71 0.92 0.96 0.92

time (sec)

N/A 0.591 0.043 0.346 0.033 0.078 0.113 0.121 0.235 2.512

Problem 426

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 0 46 42 82 46 45 0 45

N.S.

1 0.00 0.00 1.44 1.31 2.56 1.44 1.41 0.00 1.41

time (sec)

N/A 0.000 0.000 11.043 0.420 0.106 0.434 0.152 122.772 3.263

Problem 427

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

32 66 59 56 0 77 48 105 99 71

N.S.

1 2.06 1.84 1.75 0.00 2.41 1.50 3.28 3.09 2.22

time (sec)

N/A 1.290 0.043 1.694 0.000 0.076 0.114 0.142 0.438 2.600

Problem 428

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

27 0 20 23 63 26 24 48 27 49

N.S.

1 0.00 0.74 0.85 2.33 0.96 0.89 1.78 1.00 1.81

time (sec)

N/A 0.000 0.136 1.086 0.155 0.073 0.075 0.133 0.475 2.701

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 29 28 28 35 28 27 35 30 28

N.S.

1 1.12 1.08 1.08 1.35 1.08 1.04 1.35 1.15 1.08

time (sec)

N/A 19.373 0.082 19.806 0.211 0.091 13.790 0.350 0.508 3.221

Problem 430

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 238 28 54 80 45 51 38 103 34

N.S.

1 8.50 1.00 1.93 2.86 1.61 1.82 1.36 3.68 1.21

time (sec)

N/A 1.371 0.064 0.922 0.161 0.079 0.352 0.122 0.508 2.801

Problem 431

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 0 63 47 70 51 0 51 53 0

N.S.

1 0.00 2.17 1.62 2.41 1.76 0.00 1.76 1.83 0.00

time (sec)

N/A 0.000 0.211 271.266 0.118 0.123 0.000 0.289 0.482 0.000

Problem 432

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 0 152 37 0 24 37 0 106 24

N.S.

1 0.00 4.11 1.00 0.00 0.65 1.00 0.00 2.86 0.65

time (sec)

N/A 0.000 0.143 1.335 0.000 0.089 0.960 0.000 200.024 0.649

Problem 433

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 37 32 44 71 49 70 96 34

N.S.

1 0.00 1.42 1.23 1.69 2.73 1.88 2.69 3.69 1.31

time (sec)

N/A 0.000 11.876 3.254 0.140 0.112 0.103 0.217 0.208 2.551

Problem 434

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

28 253 45 77 431 60 129 142 88 140

N.S.

1 9.04 1.61 2.75 15.39 2.14 4.61 5.07 3.14 5.00

time (sec)

N/A 2.793 0.638 14.844 0.150 0.076 13.182 0.123 0.193 3.173

Problem 435

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 17 23 18 15 15 19 15 17 15

N.S.

1 1.31 1.77 1.38 1.15 1.15 1.46 1.15 1.31 1.15

time (sec)

N/A 0.163 0.003 0.067 0.035 0.076 0.070 0.118 0.207 0.058

Problem 436

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 26 0 29 45 26 0 0 93 25

N.S.

1 1.18 0.00 1.32 2.05 1.18 0.00 0.00 4.23 1.14

time (sec)

N/A 0.774 0.000 0.901 0.260 0.108 0.000 0.000 200.028 2.557

Problem 437

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 8 7 7 14 8 8 7

N.S.

1 1.00 1.00 1.00 0.88 0.88 1.75 1.00 1.00 0.88

time (sec)

N/A 0.210 0.001 0.042 0.025 0.076 0.028 0.116 0.190 0.124

Problem 438

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

27 30 26 20 26 19 22 18 41 18

N.S.

1 1.11 0.96 0.74 0.96 0.70 0.81 0.67 1.52 0.67

time (sec)

N/A 0.537 0.128 0.155 0.100 0.089 0.125 0.123 0.186 2.560

Problem 439

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 25 22 16 25 25 31 25 32 15

N.S.

1 1.39 1.22 0.89 1.39 1.39 1.72 1.39 1.78 0.83

time (sec)

N/A 0.258 0.002 0.061 0.040 0.067 0.024 0.118 0.177 0.053

Problem 440

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

24 0 19 29 16 28 26 30 23 39

N.S.

1 0.00 0.79 1.21 0.67 1.17 1.08 1.25 0.96 1.62

time (sec)

N/A 0.000 0.398 0.007 0.100 0.080 99.272 0.179 0.189 2.506

Problem 441

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 0 30 28 105 30 26 30 32 35

N.S.

1 0.00 1.07 1.00 3.75 1.07 0.93 1.07 1.14 1.25

time (sec)

N/A 0.000 0.064 1.066 0.130 0.081 0.132 0.198 0.205 2.695

Problem 442

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

25 0 23 28 34 27 31 34 28 35

N.S.

1 0.00 0.92 1.12 1.36 1.08 1.24 1.36 1.12 1.40

time (sec)

N/A 0.000 0.255 0.262 0.186 0.084 0.095 0.127 0.204 2.639

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

23 37 37 37 37 35 34 35 37 36

N.S.

1 1.61 1.61 1.61 1.61 1.52 1.48 1.52 1.61 1.57

time (sec)

N/A 0.605 0.071 0.125 0.083 0.093 0.126 0.123 0.183 2.525

Problem 444

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 61 22 56 53 53 60 53 54 20

N.S.

1 2.35 0.85 2.15 2.04 2.04 2.31 2.04 2.08 0.77

time (sec)

N/A 0.455 2.377 0.595 0.028 0.079 0.071 0.103 0.201 2.544

Problem 445

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 36 102 24 23 23 24 24 24 23

N.S.

1 1.44 4.08 0.96 0.92 0.92 0.96 0.96 0.96 0.92

time (sec)

N/A 0.326 0.016 0.129 0.040 0.077 0.699 0.113 0.203 0.204

Problem 446

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 20 20 25 77 31 42 72 26 16

N.S.

1 0.91 0.91 1.14 3.50 1.41 1.91 3.27 1.18 0.73

time (sec)

N/A 0.177 0.004 0.083 0.028 0.083 0.085 0.112 0.204 2.701

Problem 447

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 29 29 34 52 59 41 74 71 38

N.S.

1 0.94 0.94 1.10 1.68 1.90 1.32 2.39 2.29 1.23

time (sec)

N/A 3.832 0.244 0.950 0.195 0.091 0.278 0.122 0.201 2.717

Problem 448

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 0 96 96 120 90 100 0 201 99

N.S.

1 0.00 3.43 3.43 4.29 3.21 3.57 0.00 7.18 3.54

time (sec)

N/A 0.000 0.112 0.455 0.141 0.091 0.195 0.000 0.229 2.715

Problem 449

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 67 102 22 26 20 24 29 22 21

N.S.

1 2.39 3.64 0.79 0.93 0.71 0.86 1.04 0.79 0.75

time (sec)

N/A 0.639 0.029 1.116 0.165 0.084 0.163 0.116 0.219 2.790

Problem 450

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 119 43 42 41 41 41 0 117 47

N.S.

1 4.25 1.54 1.50 1.46 1.46 1.46 0.00 4.18 1.68

time (sec)

N/A 0.650 0.099 1.582 0.121 0.099 0.122 0.000 200.035 2.705

Problem 451

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

28 0 24 24 23 23 24 25 24 23

N.S.

1 0.00 0.86 0.86 0.82 0.82 0.86 0.89 0.86 0.82

time (sec)

N/A 0.000 0.428 0.797 0.162 0.087 0.102 0.116 0.218 2.728

Problem 452

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

30 34 56 35 36 36 31 34 36 34

N.S.

1 1.13 1.87 1.17 1.20 1.20 1.03 1.13 1.20 1.13

time (sec)

N/A 0.930 0.033 0.448 0.078 0.075 0.155 0.116 0.238 2.574

Problem 453

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 34 17 19 0 19 15 19 25 20

N.S.

1 1.70 0.85 0.95 0.00 0.95 0.75 0.95 1.25 1.00

time (sec)

N/A 0.248 0.308 0.180 0.000 0.074 0.054 0.120 0.241 0.079

Problem 454

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

27 0 25 22 44 60 48 0 39 34

N.S.

1 0.00 0.93 0.81 1.63 2.22 1.78 0.00 1.44 1.26

time (sec)

N/A 0.000 0.316 0.777 0.177 0.077 0.122 0.000 0.456 2.601

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

19 16 19 13 14 14 14 14 13 13

N.S.

1 0.84 1.00 0.68 0.74 0.74 0.74 0.74 0.68 0.68

time (sec)

N/A 0.226 0.001 0.041 0.026 0.067 0.021 0.110 0.233 0.023

Problem 456

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

25 0 26 25 24 24 26 24 26 24

N.S.

1 0.00 1.04 1.00 0.96 0.96 1.04 0.96 1.04 0.96

time (sec)

N/A 0.000 5.031 0.292 0.180 0.084 0.088 0.123 0.209 1.172

Problem 457

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

6 2 2 3 2 2 2 3 2 2

N.S.

1 0.33 0.33 0.50 0.33 0.33 0.33 0.50 0.33 0.33

time (sec)

N/A 0.206 0.000 0.013 0.032 0.075 0.017 0.108 0.212 0.002

Problem 458

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 53 27 41 38 38 44 38 49 25

N.S.

1 1.83 0.93 1.41 1.31 1.31 1.52 1.31 1.69 0.86

time (sec)

N/A 0.392 0.162 0.350 0.027 0.099 0.060 0.111 0.227 0.072

Problem 459

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 44 24 26 25 25 32 25 21 25

N.S.

1 2.75 1.50 1.62 1.56 1.56 2.00 1.56 1.31 1.56

time (sec)

N/A 10.473 0.007 0.069 0.034 0.078 0.173 0.114 0.212 2.455

Problem 460

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

21 0 23 23 10 10 7 10 22 164

N.S.

1 0.00 1.10 1.10 0.48 0.48 0.33 0.48 1.05 7.81

time (sec)

N/A 0.000 0.142 2.435 0.090 0.085 0.050 0.141 0.225 2.933

Problem 461

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

24 344 152 149 308 106 124 188 137 21

N.S.

1 14.33 6.33 6.21 12.83 4.42 5.17 7.83 5.71 0.88

time (sec)

N/A 0.651 0.153 0.010 0.044 0.084 0.153 0.117 0.207 2.718

Problem 462

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 17 13 13 0 12 14 15 14 12

N.S.

1 0.89 0.68 0.68 0.00 0.63 0.74 0.79 0.74 0.63

time (sec)

N/A 0.326 0.039 0.182 0.000 0.086 0.103 0.116 0.218 2.544

Problem 463

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

20 0 22 28 19 19 17 21 25 21

N.S.

1 0.00 1.10 1.40 0.95 0.95 0.85 1.05 1.25 1.05

time (sec)

N/A 0.000 0.153 1.496 0.087 0.085 0.198 0.127 0.214 2.596

Problem 464

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 21 21 20 24 19 19 0 28 19

N.S.

1 1.00 1.00 0.95 1.14 0.90 0.90 0.00 1.33 0.90

time (sec)

N/A 1.284 0.471 20.579 0.177 0.082 0.212 0.000 0.242 0.208

Problem 465

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 44 44 0 99 97 99 219 508

N.S.

1 0.00 1.69 1.69 0.00 3.81 3.73 3.81 8.42 19.54

time (sec)

N/A 0.000 0.066 1.464 0.000 0.078 0.256 0.772 200.034 2.808

Problem 466

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 21 21 21 59 67 82 215 81 0

N.S.

1 1.11 1.11 1.11 3.11 3.53 4.32 11.32 4.26 0.00

time (sec)

N/A 1.167 0.027 1.864 0.155 0.077 0.123 0.138 0.241 0.000

Problem 467

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

32 153 137 69 151 129 175 160 59 262

N.S.

1 4.78 4.28 2.16 4.72 4.03 5.47 5.00 1.84 8.19

time (sec)

N/A 0.803 0.037 0.299 0.044 0.105 1.079 0.113 0.244 2.600

Problem 468

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 0 24 28 25 28 24 27 88 26

N.S.

1 0.00 1.04 1.22 1.09 1.22 1.04 1.17 3.83 1.13

time (sec)

N/A 0.000 0.216 0.468 0.062 0.078 0.080 0.148 63.148 2.665

Problem 469

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 19 12 11 13 10 18 11 11

N.S.

1 1.00 1.73 1.09 1.00 1.18 0.91 1.64 1.00 1.00

time (sec)

N/A 0.306 0.032 0.096 0.025 0.100 0.047 0.111 0.237 2.518

Problem 470

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 34 19 18 20 22 19 19 15

N.S.

1 1.00 1.70 0.95 0.90 1.00 1.10 0.95 0.95 0.75

time (sec)

N/A 0.171 0.013 0.128 0.029 0.094 0.196 0.119 0.234 0.175

Problem 471

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

26 0 43 43 35 30 41 45 56 41

N.S.

1 0.00 1.65 1.65 1.35 1.15 1.58 1.73 2.15 1.58

time (sec)

N/A 0.000 0.152 0.514 0.165 0.078 0.216 0.126 0.224 2.854

Problem 472

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 27 44 50 40 22 44 310 34

N.S.

1 1.00 1.00 1.63 1.85 1.48 0.81 1.63 11.48 1.26

time (sec)

N/A 2.242 5.062 6.083 0.172 0.088 0.228 0.123 0.311 2.682

Problem 473

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 29 29 28 28 33 26 37 31 25

N.S.

1 1.00 1.00 0.97 0.97 1.14 0.90 1.28 1.07 0.86

time (sec)

N/A 0.518 0.038 0.266 0.214 0.088 0.119 0.117 0.201 2.386

Problem 474

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

32 0 32 30 36 41 31 26 33 37

N.S.

1 0.00 1.00 0.94 1.12 1.28 0.97 0.81 1.03 1.16

time (sec)

N/A 0.000 0.054 27.831 0.205 0.080 0.196 0.124 0.215 2.732

Problem 475

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 0 18 22 64 37 19 37 34 21

N.S.

1 0.00 0.95 1.16 3.37 1.95 1.00 1.95 1.79 1.11

time (sec)

N/A 0.000 0.086 0.316 0.096 0.075 0.066 0.273 0.213 2.712

Problem 476

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 38 27 18 29 29 20 29 36 17

N.S.

1 1.73 1.23 0.82 1.32 1.32 0.91 1.32 1.64 0.77

time (sec)

N/A 0.237 0.037 0.368 0.065 0.080 0.121 0.111 0.226 2.621

Problem 477

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

25 67 67 64 82 57 70 63 56 23

N.S.

1 2.68 2.68 2.56 3.28 2.28 2.80 2.52 2.24 0.92

time (sec)

N/A 0.250 0.036 0.612 0.057 0.078 0.092 0.107 0.236 2.562

Problem 478

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 16 16 13 15 15 12 15 14 15

N.S.

1 1.14 1.14 0.93 1.07 1.07 0.86 1.07 1.00 1.07

time (sec)

N/A 0.155 0.002 0.059 0.029 0.068 0.068 0.104 0.226 2.570

Problem 479

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 32 33 53 32 48 70 54 63 56

N.S.

1 1.07 1.10 1.77 1.07 1.60 2.33 1.80 2.10 1.87

time (sec)

N/A 0.303 0.040 0.443 0.186 0.078 0.271 0.153 0.216 2.907

Problem 480

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 0 74 98 105 113 0 87 119 0

N.S.

1 0.00 2.24 2.97 3.18 3.42 0.00 2.64 3.61 0.00

time (sec)

N/A 0.000 28.252 0.162 0.211 0.099 0.000 0.167 0.244 0.000

Problem 481

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 0 23 29 125 37 39 0 0 62

N.S.

1 0.00 1.00 1.26 5.43 1.61 1.70 0.00 0.00 2.70

time (sec)

N/A 0.000 0.381 2.424 0.345 0.083 0.875 0.000 1.646 4.750

Problem 482

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 35 14 12 25 19 8 12 18 11

N.S.

1 1.35 0.54 0.46 0.96 0.73 0.31 0.46 0.69 0.42

time (sec)

N/A 0.260 0.043 0.087 0.037 0.074 0.041 0.112 0.214 0.057

Problem 483

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

23 26 24 24 25 25 22 26 28 22

N.S.

1 1.13 1.04 1.04 1.09 1.09 0.96 1.13 1.22 0.96

time (sec)

N/A 0.201 0.010 0.109 0.030 0.071 0.228 0.114 0.242 2.536

Problem 484

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

29 0 30 29 25 25 26 29 30 25

N.S.

1 0.00 1.03 1.00 0.86 0.86 0.90 1.00 1.03 0.86

time (sec)

N/A 0.000 0.094 0.849 0.194 0.106 0.124 0.117 0.241 2.808

Problem 485

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 0 0 59 80 102 71 94 67 0

N.S.

1 0.00 0.00 2.11 2.86 3.64 2.54 3.36 2.39 0.00

time (sec)

N/A 0.000 0.000 1.823 0.183 0.093 1.814 0.173 0.221 0.000

Problem 486

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

22 0 27 19 21 21 22 21 21 20

N.S.

1 0.00 1.23 0.86 0.95 0.95 1.00 0.95 0.95 0.91

time (sec)

N/A 0.000 0.222 0.163 0.109 0.088 0.087 0.122 0.219 2.476

Problem 487

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 0 17 17 77 34 31 56 61 35

N.S.

1 0.00 0.89 0.89 4.05 1.79 1.63 2.95 3.21 1.84

time (sec)

N/A 0.000 0.436 0.224 2.904 0.082 0.102 0.115 0.211 2.621

Problem 488

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 11 11 10 11 11 10 12 11 11

N.S.

1 0.58 0.58 0.53 0.58 0.58 0.53 0.63 0.58 0.58

time (sec)

N/A 0.158 0.004 0.033 0.026 0.076 0.037 0.119 0.211 0.058

Problem 489

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

22 0 22 23 16 22 22 16 19 16

N.S.

1 0.00 1.00 1.05 0.73 1.00 1.00 0.73 0.86 0.73

time (sec)

N/A 0.000 0.292 0.542 0.233 0.093 0.199 0.114 0.194 2.596

Problem 490

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

22 0 25 23 29 24 22 21 23 23

N.S.

1 0.00 1.14 1.05 1.32 1.09 1.00 0.95 1.05 1.05

time (sec)

N/A 0.000 0.064 0.263 0.142 0.084 0.063 0.118 0.205 2.690

Problem 491

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 0 30 30 39 39 0 29 42 28

N.S.

1 0.00 1.11 1.11 1.44 1.44 0.00 1.07 1.56 1.04

time (sec)

N/A 0.000 0.180 0.492 0.085 0.084 0.000 0.135 0.215 2.591

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

24 29 27 27 28 26 20 37 27 26

N.S.

1 1.21 1.12 1.12 1.17 1.08 0.83 1.54 1.12 1.08

time (sec)

N/A 5.143 1.368 1.433 0.109 0.089 0.326 0.222 0.216 0.403

Problem 493

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 0 64 74 175 73 70 68 78 71

N.S.

1 0.00 2.67 3.08 7.29 3.04 2.92 2.83 3.25 2.96

time (sec)

N/A 0.000 0.098 72.083 0.524 0.095 0.355 0.449 0.230 2.727

Problem 494

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 0 42 124 60 60 65 108 64 0

N.S.

1 0.00 1.27 3.76 1.82 1.82 1.97 3.27 1.94 0.00

time (sec)

N/A 0.000 0.095 0.038 0.188 0.098 0.366 0.252 0.215 0.000

Problem 495

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 37 34 34 46 37 29 38 41 33

N.S.

1 1.95 1.79 1.79 2.42 1.95 1.53 2.00 2.16 1.74

time (sec)

N/A 0.265 0.029 0.488 0.039 0.079 0.065 0.109 0.207 0.066

Problem 496

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

25 0 26 23 25 25 22 42 26 23

N.S.

1 0.00 1.04 0.92 1.00 1.00 0.88 1.68 1.04 0.92

time (sec)

N/A 0.000 1.459 0.168 0.118 0.085 0.120 0.122 0.244 2.605

Problem 497

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 24 17 17 22 15 14 50 24 31

N.S.

1 1.14 0.81 0.81 1.05 0.71 0.67 2.38 1.14 1.48

time (sec)

N/A 0.218 0.062 0.093 0.118 0.083 0.087 0.118 0.238 0.141

Problem 498

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 0 32 49 0 45 19 326 138 21

N.S.

1 0.00 1.10 1.69 0.00 1.55 0.66 11.24 4.76 0.72

time (sec)

N/A 0.000 0.060 3.273 0.000 0.092 0.170 0.194 200.022 2.574

Problem 499

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

20 0 20 18 26 25 27 25 26 28

N.S.

1 0.00 1.00 0.90 1.30 1.25 1.35 1.25 1.30 1.40

time (sec)

N/A 0.000 0.159 0.315 0.163 0.087 0.078 0.114 0.247 2.662

Problem 500

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

29 0 24 23 29 24 22 22 25 22

N.S.

1 0.00 0.83 0.79 1.00 0.83 0.76 0.76 0.86 0.76

time (sec)

N/A 0.000 5.064 3.253 0.125 0.079 0.237 0.158 0.252 0.418