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2.2.7 Integrals 601 to 700

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 601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 32 578 500 62 61 0 94

N.S.

1 0.00 1.33 24.08 20.83 2.58 2.54 0.00 3.92

time (sec)

N/A 0.000 0.368 0.066 4.959 0.249 3.381 0.000 10.487

Problem 602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B A B B B

verified

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

size

13 0 23 28 29 15 27 28 15

N.S.

1 0.00 1.77 2.15 2.23 1.15 2.08 2.15 1.15

time (sec)

N/A 0.000 0.332 0.531 0.232 0.238 0.275 0.323 8.622

Problem 603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

30 0 29 24 32 25 24 29 26

N.S.

1 0.00 0.97 0.80 1.07 0.83 0.80 0.97 0.87

time (sec)

N/A 0.000 9.555 0.158 1.414 0.252 0.112 0.316 0.174

Problem 604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

31 0 28 31 33 43 34 36 42

N.S.

1 0.00 0.90 1.00 1.06 1.39 1.10 1.16 1.35

time (sec)

N/A 0.000 0.123 274.354 0.288 0.244 0.203 0.319 8.586

Problem 605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A F A A A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

22 57 22 29 0 28 29 19 62

N.S.

1 2.59 1.00 1.32 0.00 1.27 1.32 0.86 2.82

time (sec)

N/A 2.133 0.657 5.795 0.000 0.241 0.282 0.748 8.669

Problem 606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A A A A B B

verified

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

size

22 0 0 24 30 23 22 73 21

N.S.

1 0.00 0.00 1.09 1.36 1.05 1.00 3.32 0.95

time (sec)

N/A 0.000 0.000 62.118 0.322 0.244 0.736 3.234 9.930

Problem 607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

5 3 3 4 3 3 3 4 3

N.S.

1 0.60 0.60 0.80 0.60 0.60 0.60 0.80 0.60

time (sec)

N/A 0.143 0.001 0.020 0.182 0.232 0.036 0.283 9.633

Problem 608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 50 26 18 23 28 15 30 19

N.S.

1 1.61 0.84 0.58 0.74 0.90 0.48 0.97 0.61

time (sec)

N/A 0.340 0.490 0.056 0.292 0.252 0.068 0.292 0.215

Problem 609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 16 16 26 24 25 27 14 15

N.S.

1 1.00 1.00 1.62 1.50 1.56 1.69 0.88 0.94

time (sec)

N/A 0.206 0.029 0.064 0.171 0.244 0.094 0.289 9.461

Problem 610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 22 20 0 19 17 19 19

N.S.

1 1.00 1.00 0.91 0.00 0.86 0.77 0.86 0.86

time (sec)

N/A 0.407 0.184 0.081 0.000 0.240 0.073 0.277 8.540

Problem 611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

31 0 26 26 35 29 27 35 143

N.S.

1 0.00 0.84 0.84 1.13 0.94 0.87 1.13 4.61

time (sec)

N/A 0.000 0.156 5.060 0.270 0.247 0.178 0.503 9.147

Problem 612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

32 0 35 35 31 57 27 35 69

N.S.

1 0.00 1.09 1.09 0.97 1.78 0.84 1.09 2.16

time (sec)

N/A 0.000 1.137 1.777 0.261 0.265 0.101 0.299 8.881

Problem 613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 13 12 11 13 7 11 11

N.S.

1 1.00 1.00 0.92 0.85 1.00 0.54 0.85 0.85

time (sec)

N/A 0.153 0.005 0.023 0.176 0.219 0.036 0.277 0.040

Problem 614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 33 33 18 18 30 15 18 17

N.S.

1 1.38 1.38 0.75 0.75 1.25 0.62 0.75 0.71

time (sec)

N/A 0.337 0.020 0.081 0.170 0.252 0.115 0.283 9.000

Problem 615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 41 39 29 33 33 27 33 33

N.S.

1 1.41 1.34 1.00 1.14 1.14 0.93 1.14 1.14

time (sec)

N/A 0.169 0.004 0.023 0.168 0.226 0.022 0.278 9.036

Problem 616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

26 0 24 30 36 28 22 43 1156

N.S.

1 0.00 0.92 1.15 1.38 1.08 0.85 1.65 44.46

time (sec)

N/A 0.000 1.234 122.320 0.363 0.240 0.832 0.433 11.067

Problem 617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 27 27 82 57 49 19 1737 27

N.S.

1 0.93 0.93 2.83 1.97 1.69 0.66 59.90 0.93

time (sec)

N/A 5.128 0.181 2.059 0.376 0.259 0.161 2.304 9.755

Problem 618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 0 31 30 34 0 34 51

N.S.

1 0.00 0.00 1.35 1.30 1.48 0.00 1.48 2.22

time (sec)

N/A 0.000 0.000 0.280 0.341 0.250 0.000 0.312 9.279

Problem 619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 108 26 44 96 43 46 51 43

N.S.

1 4.70 1.13 1.91 4.17 1.87 2.00 2.22 1.87

time (sec)

N/A 1.330 1.599 0.099 0.224 0.249 0.105 0.293 8.452

Problem 620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 55 55 60 61 57 65 65 56

N.S.

1 1.83 1.83 2.00 2.03 1.90 2.17 2.17 1.87

time (sec)

N/A 0.288 0.026 0.049 0.174 0.229 0.236 0.279 0.175

Problem 621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A C A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 80 37 38 100 38 60 74 58

N.S.

1 2.76 1.28 1.31 3.45 1.31 2.07 2.55 2.00

time (sec)

N/A 0.337 0.593 0.081 0.236 0.238 0.077 0.297 0.137

Problem 622

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 12 23 11 12 11 11

N.S.

1 1.00 1.00 1.09 2.09 1.00 1.09 1.00 1.00

time (sec)

N/A 0.408 0.286 0.076 0.295 0.259 0.061 0.302 8.643

Problem 623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

26 0 22 26 31 26 17 26 25

N.S.

1 0.00 0.85 1.00 1.19 1.00 0.65 1.00 0.96

time (sec)

N/A 0.000 0.343 0.766 0.324 0.238 0.072 0.300 9.527

Problem 624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 51 32 26 27 31 27 31 24

N.S.

1 2.43 1.52 1.24 1.29 1.48 1.29 1.48 1.14

time (sec)

N/A 0.897 0.248 0.082 0.223 0.248 0.131 0.305 9.142

Problem 625

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 43 43 41 49 35 37 38 43

N.S.

1 2.53 2.53 2.41 2.88 2.06 2.18 2.24 2.53

time (sec)

N/A 0.231 0.020 0.025 0.199 0.246 0.074 0.281 8.570

Problem 626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 54 54 53 54 52 51 56 52

N.S.

1 2.45 2.45 2.41 2.45 2.36 2.32 2.55 2.36

time (sec)

N/A 1.061 0.063 0.042 0.182 0.268 0.077 0.299 8.612

Problem 627

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 20 20 18 17 19 19 20 17

N.S.

1 0.71 0.71 0.64 0.61 0.68 0.68 0.71 0.61

time (sec)

N/A 0.255 0.016 0.046 0.203 0.228 0.252 0.284 8.520

Problem 628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B F B

verified

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

size

31 0 31 36 38 42 46 0 41

N.S.

1 0.00 1.00 1.16 1.23 1.35 1.48 0.00 1.32

time (sec)

N/A 0.000 2.548 0.847 0.318 0.243 0.173 0.000 9.387

Problem 629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

35 0 61 828 1058 114 0 0 76

N.S.

1 0.00 1.74 23.66 30.23 3.26 0.00 0.00 2.17

time (sec)

N/A 0.000 0.452 0.137 3.738 0.256 0.000 0.000 10.530

Problem 630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 30 20 18 19 32 17 19 19

N.S.

1 1.30 0.87 0.78 0.83 1.39 0.74 0.83 0.83

time (sec)

N/A 0.777 0.036 0.271 0.223 0.249 0.091 0.309 8.515

Problem 631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 37 40 35 32 43 29 32 31

N.S.

1 1.23 1.33 1.17 1.07 1.43 0.97 1.07 1.03

time (sec)

N/A 0.514 0.064 0.067 0.185 0.242 0.169 0.309 8.463

Problem 632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A A B

verified

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

size

21 0 21 17 17 46 14 17 17

N.S.

1 0.00 1.00 0.81 0.81 2.19 0.67 0.81 0.81

time (sec)

N/A 0.000 0.136 0.028 0.294 0.244 0.081 0.305 0.128

Problem 633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 25 41 27 38 32 31 86 0

N.S.

1 1.00 1.64 1.08 1.52 1.28 1.24 3.44 0.00

time (sec)

N/A 0.477 7.321 0.207 0.285 0.268 0.167 0.326 0.000

Problem 634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A A B

verified

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

size

35 0 36 33 0 58 27 58 32

N.S.

1 0.00 1.03 0.94 0.00 1.66 0.77 1.66 0.91

time (sec)

N/A 0.000 0.457 89.719 0.000 0.259 1.398 0.610 9.804

Problem 635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

26 0 22 32 20 29 22 0 54

N.S.

1 0.00 0.85 1.23 0.77 1.12 0.85 0.00 2.08

time (sec)

N/A 0.000 0.509 0.202 0.307 0.279 0.177 0.000 8.903

Problem 636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A A B

verified

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

size

30 0 24 21 76 25 22 27 27

N.S.

1 0.00 0.80 0.70 2.53 0.83 0.73 0.90 0.90

time (sec)

N/A 0.000 1.686 4.732 0.451 0.258 0.261 0.302 9.144

Problem 637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A B B

verified

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

size

22 0 22 28 0 27 20 100 26

N.S.

1 0.00 1.00 1.27 0.00 1.23 0.91 4.55 1.18

time (sec)

N/A 0.000 0.164 0.156 0.000 0.248 0.081 0.328 0.158

Problem 638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 36 37 26 35 35 37 37 48

N.S.

1 1.64 1.68 1.18 1.59 1.59 1.68 1.68 2.18

time (sec)

N/A 0.233 0.025 0.100 0.182 0.249 0.087 0.299 8.446

Problem 639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 69 46 44 77 47 42 55 93

N.S.

1 2.65 1.77 1.69 2.96 1.81 1.62 2.12 3.58

time (sec)

N/A 0.365 0.189 0.072 0.332 0.272 0.110 0.388 8.510

Problem 640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B B B

verified

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

size

35 0 63 103 467 81 75 104 76

N.S.

1 0.00 1.80 2.94 13.34 2.31 2.14 2.97 2.17

time (sec)

N/A 0.000 0.187 22.370 0.331 0.271 0.292 10.329 8.838

Problem 641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

17 0 17 18 83 83 95 7896 0

N.S.

1 0.00 1.00 1.06 4.88 4.88 5.59 464.47 0.00

time (sec)

N/A 0.000 0.157 0.654 0.609 0.263 0.175 3.141 0.000

Problem 642

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 27 23 20 19 19 20 19 16

N.S.

1 1.29 1.10 0.95 0.90 0.90 0.95 0.90 0.76

time (sec)

N/A 0.156 0.002 0.020 0.189 0.234 0.042 0.295 8.476

Problem 643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

30 0 28 29 24 28 29 0 29

N.S.

1 0.00 0.93 0.97 0.80 0.93 0.97 0.00 0.97

time (sec)

N/A 0.000 0.745 0.160 0.299 0.240 0.104 0.000 0.242

Problem 644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C C A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 188 120 31 92 30 32 69 17

N.S.

1 10.44 6.67 1.72 5.11 1.67 1.78 3.83 0.94

time (sec)

N/A 0.457 2.530 0.123 0.194 0.302 0.068 0.275 9.004

Problem 645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 21 23 29 29 26 30 20

N.S.

1 0.00 0.88 0.96 1.21 1.21 1.08 1.25 0.83

time (sec)

N/A 0.000 1.486 0.138 0.313 0.286 0.102 0.270 0.244

Problem 646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 20 16 15 15 19 15 18

N.S.

1 1.00 1.00 0.80 0.75 0.75 0.95 0.75 0.90

time (sec)

N/A 0.348 0.542 0.072 0.172 0.267 0.134 0.292 0.125

Problem 647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 19 11 13 16 21 17 17 13

N.S.

1 1.58 0.92 1.08 1.33 1.75 1.42 1.42 1.08

time (sec)

N/A 0.178 0.003 0.025 0.168 0.251 0.056 0.262 0.050

Problem 648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 70 43 41 41 37 44 38 40

N.S.

1 2.59 1.59 1.52 1.52 1.37 1.63 1.41 1.48

time (sec)

N/A 0.247 0.117 0.356 0.188 0.245 0.167 0.286 7.838

Problem 649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

36 0 52 61 54 58 27 61 68

N.S.

1 0.00 1.44 1.69 1.50 1.61 0.75 1.69 1.89

time (sec)

N/A 0.000 0.210 0.256 0.254 0.280 0.114 0.371 7.703

Problem 650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 6 6 6 5 5 5 5 5

N.S.

1 0.29 0.29 0.29 0.24 0.24 0.24 0.24 0.24

time (sec)

N/A 0.127 0.000 0.009 0.181 0.224 0.013 0.263 0.002

Problem 651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 21 23 21 20 25 20 20 20

N.S.

1 0.91 1.00 0.91 0.87 1.09 0.87 0.87 0.87

time (sec)

N/A 0.404 0.232 0.042 0.236 0.247 0.115 0.289 7.654

Problem 652

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 20 20 30 29 29 29 29 29

N.S.

1 0.87 0.87 1.30 1.26 1.26 1.26 1.26 1.26

time (sec)

N/A 2.668 0.651 0.511 0.238 0.244 0.192 0.422 0.264

Problem 653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 23 18 18 17 22 18 19

N.S.

1 1.00 1.00 0.78 0.78 0.74 0.96 0.78 0.83

time (sec)

N/A 0.261 0.084 0.026 0.273 0.250 0.076 0.275 7.907

Problem 654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 21 21 21 22 22 22 23 21

N.S.

1 0.91 0.91 0.91 0.96 0.96 0.96 1.00 0.91

time (sec)

N/A 0.803 0.349 0.319 0.321 0.251 0.446 0.362 8.557

Problem 655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 14 14 28 66 49 15 12 12

N.S.

1 0.88 0.88 1.75 4.12 3.06 0.94 0.75 0.75

time (sec)

N/A 0.287 0.066 4.335 0.183 0.241 0.052 0.266 7.988

Problem 656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A F B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 156 47 35 0 49 31 52 30

N.S.

1 6.24 1.88 1.40 0.00 1.96 1.24 2.08 1.20

time (sec)

N/A 0.830 0.217 0.164 0.000 0.243 0.116 0.270 0.294

Problem 657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 9 9 9 8 8 8 8 8

N.S.

1 0.50 0.50 0.50 0.44 0.44 0.44 0.44 0.44

time (sec)

N/A 0.135 0.001 0.020 0.180 0.235 0.028 0.276 8.064

Problem 658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

20 0 18 28 20 27 22 56 60

N.S.

1 0.00 0.90 1.40 1.00 1.35 1.10 2.80 3.00

time (sec)

N/A 0.000 1.467 0.156 0.294 0.238 0.084 0.278 8.091

Problem 659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 94 0 50 71 46 0 42 47

N.S.

1 2.94 0.00 1.56 2.22 1.44 0.00 1.31 1.47

time (sec)

N/A 0.730 0.000 3.355 0.390 0.245 0.000 0.592 8.701

Problem 660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 25 19 17 16 16 15 16 16

N.S.

1 1.19 0.90 0.81 0.76 0.76 0.71 0.76 0.76

time (sec)

N/A 0.147 0.017 0.021 0.168 0.243 0.043 0.268 0.065

Problem 661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

26 0 26 21 20 24 26 24 22

N.S.

1 0.00 1.00 0.81 0.77 0.92 1.00 0.92 0.85

time (sec)

N/A 0.000 0.660 0.036 0.212 0.241 0.133 0.295 8.248

Problem 662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C A A A B

verified

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

size

20 0 20 24 31 27 15 23 18

N.S.

1 0.00 1.00 1.20 1.55 1.35 0.75 1.15 0.90

time (sec)

N/A 0.000 0.091 0.173 0.230 0.244 0.090 0.274 8.441

Problem 663

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 25 29 21 18 26 19 18 22

N.S.

1 1.14 1.32 0.95 0.82 1.18 0.86 0.82 1.00

time (sec)

N/A 0.184 0.016 0.110 0.182 0.227 0.072 0.271 8.361

Problem 664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B B B

verified

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

size

26 0 38 46 44 44 42 51 101

N.S.

1 0.00 1.46 1.77 1.69 1.69 1.62 1.96 3.88

time (sec)

N/A 0.000 0.095 1.425 0.327 0.265 0.167 0.530 1.560

Problem 665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 24 24 24 30 33 22 33 23

N.S.

1 0.96 0.96 0.96 1.20 1.32 0.88 1.32 0.92

time (sec)

N/A 2.270 0.136 4.305 0.243 0.261 0.238 0.286 8.071

Problem 666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 9 9 7 6 6 7 6 6

N.S.

1 0.82 0.82 0.64 0.55 0.55 0.64 0.55 0.55

time (sec)

N/A 0.148 0.009 0.019 0.172 0.229 0.028 0.259 0.027

Problem 667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A A B

verified

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

size

23 0 25 19 0 18 19 34 18

N.S.

1 0.00 1.09 0.83 0.00 0.78 0.83 1.48 0.78

time (sec)

N/A 0.000 0.116 0.165 0.000 0.243 0.101 0.301 7.964

Problem 668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 13 13 16 15 13 17 15 13

N.S.

1 0.52 0.52 0.64 0.60 0.52 0.68 0.60 0.52

time (sec)

N/A 0.418 0.074 0.117 0.202 0.272 0.238 0.285 8.101

Problem 669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 15 20 11 21 10 10 10 10

N.S.

1 1.15 1.54 0.85 1.62 0.77 0.77 0.77 0.77

time (sec)

N/A 0.154 0.017 0.035 0.259 0.248 0.042 0.285 8.430

Problem 670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

25 0 25 38 34 36 32 86 53

N.S.

1 0.00 1.00 1.52 1.36 1.44 1.28 3.44 2.12

time (sec)

N/A 0.000 3.237 3.860 0.360 0.258 0.291 0.507 8.262

Problem 671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 36 0 20 114 54 0 54 68

N.S.

1 1.38 0.00 0.77 4.38 2.08 0.00 2.08 2.62

time (sec)

N/A 3.079 0.000 0.579 0.645 0.268 0.000 0.285 8.606

Problem 672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 25 25 21 21 19 19 21 18

N.S.

1 0.93 0.93 0.78 0.78 0.70 0.70 0.78 0.67

time (sec)

N/A 0.171 0.007 0.022 0.187 0.236 0.053 0.264 7.796

Problem 673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 15 15 14 13 15 12 14 13

N.S.

1 0.94 0.94 0.88 0.81 0.94 0.75 0.88 0.81

time (sec)

N/A 0.144 0.003 0.017 0.190 0.233 0.032 0.262 0.029

Problem 674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 22 22 21 20 22 15 20 20

N.S.

1 0.96 0.96 0.91 0.87 0.96 0.65 0.87 0.87

time (sec)

N/A 0.199 0.030 0.059 0.198 0.262 0.075 0.269 7.906

Problem 675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 0 33 40 48 40 0 48 32

N.S.

1 0.00 1.03 1.25 1.50 1.25 0.00 1.50 1.00

time (sec)

N/A 0.000 0.204 105.990 0.339 0.263 0.000 0.350 9.138

Problem 676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 0 36 41 36 49 609 0

N.S.

1 0.00 0.00 1.38 1.58 1.38 1.88 23.42 0.00

time (sec)

N/A 0.000 0.000 1.234 0.366 0.242 0.162 0.595 0.000

Problem 677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 380 162 38 641 37 31 546 27

N.S.

1 14.62 6.23 1.46 24.65 1.42 1.19 21.00 1.04

time (sec)

N/A 1.595 0.142 0.319 0.264 0.232 0.116 0.390 1.374

Problem 678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 87 19 27 28 17 19 30 17

N.S.

1 4.58 1.00 1.42 1.47 0.89 1.00 1.58 0.89

time (sec)

N/A 0.602 0.122 0.265 0.287 0.231 0.165 0.283 8.420

Problem 679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

31 0 30 24 28 24 26 36 24

N.S.

1 0.00 0.97 0.77 0.90 0.77 0.84 1.16 0.77

time (sec)

N/A 0.000 1.962 0.234 0.265 0.248 0.076 0.261 0.223

Problem 680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 36 21 33 32 32 41 32 34

N.S.

1 1.71 1.00 1.57 1.52 1.52 1.95 1.52 1.62

time (sec)

N/A 0.203 0.052 8.933 0.243 0.248 0.179 0.282 8.053

Problem 681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 16 16 16 43 15 14 15 15

N.S.

1 1.07 1.07 1.07 2.87 1.00 0.93 1.00 1.00

time (sec)

N/A 0.319 0.026 0.074 0.191 0.254 0.060 0.265 0.269

Problem 682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 119 26 59 72 57 51 75 20

N.S.

1 5.17 1.13 2.57 3.13 2.48 2.22 3.26 0.87

time (sec)

N/A 0.276 0.356 0.087 0.188 0.253 0.145 0.278 7.782

Problem 683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A B B B

verified

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

size

30 0 43 31 55 44 44 57 34

N.S.

1 0.00 1.43 1.03 1.83 1.47 1.47 1.90 1.13

time (sec)

N/A 0.000 2.871 0.256 0.240 0.238 0.148 0.300 8.002

Problem 684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A A B

verified

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

size

26 0 21 21 74 23 17 23 23

N.S.

1 0.00 0.81 0.81 2.85 0.88 0.65 0.88 0.88

time (sec)

N/A 0.000 0.169 12.861 0.280 0.260 0.167 0.334 8.430

Problem 685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 42 32 23 43 27 24 35 33

N.S.

1 1.91 1.45 1.05 1.95 1.23 1.09 1.59 1.50

time (sec)

N/A 0.288 0.137 0.096 0.172 0.256 0.110 0.281 8.366

Problem 686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B A A A A B

verified

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

size

24 0 37 47 34 32 34 34 30

N.S.

1 0.00 1.54 1.96 1.42 1.33 1.42 1.42 1.25

time (sec)

N/A 0.000 0.250 0.138 0.302 0.229 0.691 0.287 8.634

Problem 687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 18 18 18 60 18 14 18 18

N.S.

1 0.67 0.67 0.67 2.22 0.67 0.52 0.67 0.67

time (sec)

N/A 0.177 0.032 0.032 0.240 0.232 0.049 0.295 0.096

Problem 688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 17 17 16 15 21 15 15 15

N.S.

1 0.94 0.94 0.89 0.83 1.17 0.83 0.83 0.83

time (sec)

N/A 0.169 0.008 0.035 0.185 0.241 0.057 0.284 8.158

Problem 689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

31 0 27 42 23 40 39 30 103

N.S.

1 0.00 0.87 1.35 0.74 1.29 1.26 0.97 3.32

time (sec)

N/A 0.000 1.529 0.169 0.458 0.232 0.143 0.401 8.560

Problem 690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B C A A A B

verified

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

size

25 0 24 56 53 38 19 25 25

N.S.

1 0.00 0.96 2.24 2.12 1.52 0.76 1.00 1.00

time (sec)

N/A 0.000 0.099 0.347 0.313 0.251 0.134 0.822 9.103

Problem 691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 10 10 11 10 10 8 11 8

N.S.

1 0.62 0.62 0.69 0.62 0.62 0.50 0.69 0.50

time (sec)

N/A 0.133 0.004 0.071 0.180 0.234 0.029 0.287 0.060

Problem 692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 39 39 40 39 32 39 39 39

N.S.

1 1.86 1.86 1.90 1.86 1.52 1.86 1.86 1.86

time (sec)

N/A 0.203 0.010 0.031 0.187 0.228 0.056 0.292 7.858

Problem 693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 52 32 28 60 27 27 36 26

N.S.

1 2.00 1.23 1.08 2.31 1.04 1.04 1.38 1.00

time (sec)

N/A 0.393 0.324 0.056 0.266 0.243 0.113 0.295 8.007

Problem 694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 33 41 50 48 0 40 104

N.S.

1 0.00 1.27 1.58 1.92 1.85 0.00 1.54 4.00

time (sec)

N/A 0.000 0.419 0.355 0.307 0.242 0.000 0.426 0.635

Problem 695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 125 34 34 117 45 31 52 37

N.S.

1 4.03 1.10 1.10 3.77 1.45 1.00 1.68 1.19

time (sec)

N/A 3.046 10.179 0.125 0.263 0.242 0.099 0.282 8.003

Problem 696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B C B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 62 55 74 116 83 110 86 112

N.S.

1 1.94 1.72 2.31 3.62 2.59 3.44 2.69 3.50

time (sec)

N/A 0.475 0.064 0.225 0.251 0.242 0.149 0.289 7.945

Problem 697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 24 26 28 28 29 28 0

N.S.

1 0.00 1.00 1.08 1.17 1.17 1.21 1.17 0.00

time (sec)

N/A 0.000 0.106 25.331 0.368 0.238 0.356 0.753 0.000

Problem 698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 27 124 30 39 0 0 39

N.S.

1 0.00 0.93 4.28 1.03 1.34 0.00 0.00 1.34

time (sec)

N/A 0.000 0.269 0.099 0.489 0.262 0.000 0.000 8.731

Problem 699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 112 35 108 128 91 87 113 107

N.S.

1 4.67 1.46 4.50 5.33 3.79 3.62 4.71 4.46

time (sec)

N/A 0.523 0.115 0.092 0.196 0.242 0.154 0.292 7.922

Problem 700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

34 0 40 147 32 31 0 0 31

N.S.

1 0.00 1.18 4.32 0.94 0.91 0.00 0.00 0.91

time (sec)

N/A 0.000 0.113 0.139 0.358 0.284 0.000 0.000 17.286

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