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2.2.27 Integrals 2601 to 2700

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 2601

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

26 32 35 32 28 31 37 28 31

N.S.

1 1.23 1.35 1.23 1.08 1.19 1.42 1.08 1.19

time (sec)

N/A 0.200 0.015 1.445 0.195 0.242 0.143 0.267 12.895

Problem 2602

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

31 243 36 178 210 166 204 227 32

N.S.

1 7.84 1.16 5.74 6.77 5.35 6.58 7.32 1.03

time (sec)

N/A 0.413 0.053 0.359 0.192 0.249 0.162 0.267 13.845

Problem 2603

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

20 41 18 17 16 16 15 16 16

N.S.

1 2.05 0.90 0.85 0.80 0.80 0.75 0.80 0.80

time (sec)

N/A 0.261 0.088 0.372 0.267 0.234 0.141 0.263 12.976

Problem 2604

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 25 36 41 30 32 39 32

N.S.

1 0.00 1.04 1.50 1.71 1.25 1.33 1.62 1.33

time (sec)

N/A 0.000 0.113 7.899 0.302 0.249 0.241 0.409 12.611

Problem 2605

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 25 25 51 24 22 43 24

N.S.

1 0.00 0.96 0.96 1.96 0.92 0.85 1.65 0.92

time (sec)

N/A 0.000 0.057 4.753 0.355 0.244 0.113 0.360 15.501

Problem 2606

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 33 27 34 29 29 34 30

N.S.

1 0.00 1.38 1.12 1.42 1.21 1.21 1.42 1.25

time (sec)

N/A 0.000 1.117 0.781 0.287 0.253 0.361 0.315 13.459

Problem 2607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 367 128 39 546 40 36 40 40

N.S.

1 14.12 4.92 1.50 21.00 1.54 1.38 1.54 1.54

time (sec)

N/A 0.766 0.142 0.520 0.302 0.254 0.133 0.259 0.127

Problem 2608

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 13 12 12 12 13 12

N.S.

1 1.00 1.00 1.00 0.92 0.92 0.92 1.00 0.92

time (sec)

N/A 0.455 0.242 0.068 0.219 0.248 0.086 0.283 13.160

Problem 2609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 0 38 29 0 31 39 79 39

N.S.

1 0.00 1.06 0.81 0.00 0.86 1.08 2.19 1.08

time (sec)

N/A 0.000 4.393 0.122 0.000 0.239 0.124 0.349 14.273

Problem 2610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

28 0 34 67 58 52 0 58 51

N.S.

1 0.00 1.21 2.39 2.07 1.86 0.00 2.07 1.82

time (sec)

N/A 0.000 0.292 1.262 0.302 0.243 0.000 0.281 13.924

Problem 2611

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

26 67 23 22 32 24 29 24 34

N.S.

1 2.58 0.88 0.85 1.23 0.92 1.12 0.92 1.31

time (sec)

N/A 1.605 0.985 0.628 0.255 0.243 0.110 0.292 13.931

Problem 2612

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 25 19 16 15 15 17 15 15

N.S.

1 1.25 0.95 0.80 0.75 0.75 0.85 0.75 0.75

time (sec)

N/A 0.149 0.009 0.035 0.183 0.243 0.053 0.264 0.055

Problem 2613

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 11 11 9 8 8 7 8 8

N.S.

1 1.00 1.00 0.82 0.73 0.73 0.64 0.73 0.73

time (sec)

N/A 0.145 0.002 0.085 0.181 0.258 0.042 0.259 0.024

Problem 2614

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

17 25 17 18 17 17 14 17 17

N.S.

1 1.47 1.00 1.06 1.00 1.00 0.82 1.00 1.00

time (sec)

N/A 0.458 0.118 0.551 0.220 0.238 0.046 0.262 13.861

Problem 2615

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

26 47 21 23 0 37 20 18 18

N.S.

1 1.81 0.81 0.88 0.00 1.42 0.77 0.69 0.69

time (sec)

N/A 0.596 1.243 0.072 0.000 0.239 0.061 0.274 13.706

Problem 2616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 43 59 43 56 23 19 56 23

N.S.

1 1.95 2.68 1.95 2.55 1.05 0.86 2.55 1.05

time (sec)

N/A 0.180 0.064 0.089 0.191 0.261 0.064 0.258 0.178

Problem 2617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 133 40 43 0 45 0 80 0

N.S.

1 4.16 1.25 1.34 0.00 1.41 0.00 2.50 0.00

time (sec)

N/A 7.328 0.082 0.377 0.000 0.243 0.000 0.712 0.000

Problem 2618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 67 51 45 65 18 27 41 18

N.S.

1 2.58 1.96 1.73 2.50 0.69 1.04 1.58 0.69

time (sec)

N/A 0.559 0.079 0.207 0.327 0.260 0.142 0.266 14.092

Problem 2619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 889 23 24 29 26 19 80 26

N.S.

1 34.19 0.88 0.92 1.12 1.00 0.73 3.08 1.00

time (sec)

N/A 2.584 0.577 0.372 0.336 0.242 0.096 0.291 0.329

Problem 2620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 21 21 21 0 20 0 20 20

N.S.

1 0.95 0.95 0.95 0.00 0.91 0.00 0.91 0.91

time (sec)

N/A 0.900 0.369 7.361 0.000 0.235 0.000 0.453 14.606

Problem 2621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B A A A B A B

verified

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

size

24 0 59 20 44 35 39 36 36

N.S.

1 0.00 2.46 0.83 1.83 1.46 1.62 1.50 1.50

time (sec)

N/A 0.000 0.483 1.327 0.244 0.251 0.238 0.268 14.194

Problem 2622

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

30 0 33 37 54 52 36 54 0

N.S.

1 0.00 1.10 1.23 1.80 1.73 1.20 1.80 0.00

time (sec)

N/A 0.000 0.123 5.988 0.239 0.241 0.115 0.288 0.000

Problem 2623

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 21 21 20 21 21 15 23 19

N.S.

1 1.00 1.00 0.95 1.00 1.00 0.71 1.10 0.90

time (sec)

N/A 0.229 0.010 0.539 0.181 0.231 0.040 0.272 0.065

Problem 2624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 0 26 54 32 27 20 699 0

N.S.

1 0.00 0.96 2.00 1.19 1.00 0.74 25.89 0.00

time (sec)

N/A 0.000 0.126 1.659 0.346 0.239 0.146 2.447 0.000

Problem 2625

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

22 0 22 20 19 19 15 19 85

N.S.

1 0.00 1.00 0.91 0.86 0.86 0.68 0.86 3.86

time (sec)

N/A 0.000 0.643 0.378 0.239 0.236 0.087 0.290 12.941

Problem 2626

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

19 0 22 20 19 19 19 19 19

N.S.

1 0.00 1.16 1.05 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.000 0.900 0.096 0.227 0.253 0.083 0.270 0.104

Problem 2627

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 23 16 15 14 20 14 20 14

N.S.

1 1.44 1.00 0.94 0.88 1.25 0.88 1.25 0.88

time (sec)

N/A 0.304 0.077 0.065 0.228 0.255 0.065 0.260 12.464

Problem 2628

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 19 13 11 10 10 7 15 10

N.S.

1 0.90 0.62 0.52 0.48 0.48 0.33 0.71 0.48

time (sec)

N/A 0.164 0.008 0.177 0.187 0.242 0.048 0.254 12.333

Problem 2629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A F A B B A A B

verified

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

size

24 24 0 29 47 47 32 28 28

N.S.

1 1.00 0.00 1.21 1.96 1.96 1.33 1.17 1.17

time (sec)

N/A 0.237 0.000 0.635 0.229 0.258 0.337 0.286 12.792

Problem 2630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

23 987 24 43 42 42 0 47 42

N.S.

1 42.91 1.04 1.87 1.83 1.83 0.00 2.04 1.83

time (sec)

N/A 3.322 0.136 0.788 0.329 0.243 0.000 0.301 13.333

Problem 2631

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

18 56 21 21 20 20 17 20 22

N.S.

1 3.11 1.17 1.17 1.11 1.11 0.94 1.11 1.22

time (sec)

N/A 0.220 0.768 0.081 0.284 0.246 0.052 0.265 13.129

Problem 2632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B A F B

verified

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

size

35 0 57 53 264 203 48 0 130

N.S.

1 0.00 1.63 1.51 7.54 5.80 1.37 0.00 3.71

time (sec)

N/A 0.000 1.100 277.958 0.552 0.256 3.206 0.000 16.644

Problem 2633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F A B A A F B

verified

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

size

31 0 0 18 42 22 20 0 19

N.S.

1 0.00 0.00 0.58 1.35 0.71 0.65 0.00 0.61

time (sec)

N/A 0.000 0.000 0.055 0.374 0.250 9.782 0.000 13.298

Problem 2634

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 16 13 14 17 17 14 18 28

N.S.

1 1.33 1.08 1.17 1.42 1.42 1.17 1.50 2.33

time (sec)

N/A 0.145 0.013 0.464 0.198 0.236 0.102 0.259 13.275

Problem 2635

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

23 0 17 18 18 18 14 19 34

N.S.

1 0.00 0.74 0.78 0.78 0.78 0.61 0.83 1.48

time (sec)

N/A 0.000 0.163 0.749 0.230 0.243 0.073 0.279 13.494

Problem 2636

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

8 8 8 7 6 6 5 7 6

N.S.

1 1.00 1.00 0.88 0.75 0.75 0.62 0.88 0.75

time (sec)

N/A 0.121 0.001 0.530 0.200 0.243 0.020 0.278 0.032

Problem 2637

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

9 8 8 9 8 8 7 9 8

N.S.

1 0.89 0.89 1.00 0.89 0.89 0.78 1.00 0.89

time (sec)

N/A 0.134 0.001 0.046 0.190 0.233 0.028 0.257 0.018

Problem 2638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 54 33 33 47 47 36 47 30

N.S.

1 2.70 1.65 1.65 2.35 2.35 1.80 2.35 1.50

time (sec)

N/A 0.175 0.008 0.060 0.197 0.233 0.026 0.259 0.096

Problem 2639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 19 17 17 30 18 19 0 16

N.S.

1 0.90 0.81 0.81 1.43 0.86 0.90 0.00 0.76

time (sec)

N/A 0.190 0.024 0.366 0.315 0.233 0.061 0.000 13.040

Problem 2640

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

29 0 20 24 29 35 17 20 23

N.S.

1 0.00 0.69 0.83 1.00 1.21 0.59 0.69 0.79

time (sec)

N/A 0.000 0.238 0.690 0.223 0.251 0.055 0.282 13.315

Problem 2641

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 50 26 26 27 28 22 28 29

N.S.

1 2.00 1.04 1.04 1.08 1.12 0.88 1.12 1.16

time (sec)

N/A 0.252 0.975 0.139 0.255 0.243 0.058 0.273 12.788

Problem 2642

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

21 0 24 22 31 21 17 21 21

N.S.

1 0.00 1.14 1.05 1.48 1.00 0.81 1.00 1.00

time (sec)

N/A 0.000 0.267 0.181 0.319 0.251 0.089 0.286 12.531

Problem 2643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 35 48 31 30 33 29 35 33

N.S.

1 1.09 1.50 0.97 0.94 1.03 0.91 1.09 1.03

time (sec)

N/A 0.603 0.080 0.129 0.196 0.251 0.696 0.275 12.493

Problem 2644

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 31 21 23 23 23 22 23 21

N.S.

1 1.35 0.91 1.00 1.00 1.00 0.96 1.00 0.91

time (sec)

N/A 0.235 0.012 0.106 0.195 0.235 0.194 0.260 12.370

Problem 2645

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

19 0 19 22 28 25 20 28 0

N.S.

1 0.00 1.00 1.16 1.47 1.32 1.05 1.47 0.00

time (sec)

N/A 0.000 0.863 4.699 0.332 0.239 0.120 0.411 0.000

Problem 2646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B A B B

verified

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

size

26 0 42 70 54 52 37 76 57

N.S.

1 0.00 1.62 2.69 2.08 2.00 1.42 2.92 2.19

time (sec)

N/A 0.000 0.126 0.188 0.241 0.245 0.112 0.283 13.294

Problem 2647

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

19 19 19 19 17 17 19 17 18

N.S.

1 1.00 1.00 1.00 0.89 0.89 1.00 0.89 0.95

time (sec)

N/A 0.140 0.003 0.534 0.212 0.247 0.049 0.263 0.082

Problem 2648

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 11 12 12 11 10 10 11 11

N.S.

1 0.44 0.48 0.48 0.44 0.40 0.40 0.44 0.44

time (sec)

N/A 0.127 0.000 0.025 0.213 0.236 0.018 0.270 0.002

Problem 2649

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 26 20 25 18 26 22 18 22

N.S.

1 1.24 0.95 1.19 0.86 1.24 1.05 0.86 1.05

time (sec)

N/A 0.361 0.097 0.313 0.360 0.237 0.065 0.274 13.457

Problem 2650

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 30 29 27 32 30 22 26 26

N.S.

1 1.11 1.07 1.00 1.19 1.11 0.81 0.96 0.96

time (sec)

N/A 0.291 0.538 0.059 0.203 0.241 0.063 0.265 0.089

Problem 2651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 59 52 49 67 56 44 90 56

N.S.

1 2.36 2.08 1.96 2.68 2.24 1.76 3.60 2.24

time (sec)

N/A 0.652 10.830 0.136 0.246 0.251 0.094 0.279 13.536

Problem 2652

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

33 0 42 21 41 41 17 41 23

N.S.

1 0.00 1.27 0.64 1.24 1.24 0.52 1.24 0.70

time (sec)

N/A 0.000 5.416 0.302 0.244 0.259 0.067 0.270 13.223

Problem 2653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B A B B B B B

verified

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

size

22 0 226 38 53 53 51 50 229

N.S.

1 0.00 10.27 1.73 2.41 2.41 2.32 2.27 10.41

time (sec)

N/A 0.000 6.147 1.249 0.314 0.255 0.069 0.277 14.270

Problem 2654

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

31 39 25 39 68 36 39 38 22

N.S.

1 1.26 0.81 1.26 2.19 1.16 1.26 1.23 0.71

time (sec)

N/A 0.333 0.086 1.366 0.212 0.251 2.928 0.280 14.547

Problem 2655

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 43 38 43 35 32 43 49

N.S.

1 0.00 1.43 1.27 1.43 1.17 1.07 1.43 1.63

time (sec)

N/A 0.000 0.180 0.283 0.516 0.242 0.439 0.426 14.780

Problem 2656

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

10 6 6 7 6 6 5 7 6

N.S.

1 0.60 0.60 0.70 0.60 0.60 0.50 0.70 0.60

time (sec)

N/A 0.120 0.001 0.510 0.196 0.230 0.018 0.262 0.023

Problem 2657

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 14 14 15 14 14 10 14 13

N.S.

1 0.88 0.88 0.94 0.88 0.88 0.62 0.88 0.81

time (sec)

N/A 0.143 0.000 0.046 0.185 0.233 0.021 0.258 0.026

Problem 2658

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

19 26 23 24 25 17 17 25 23

N.S.

1 1.37 1.21 1.26 1.32 0.89 0.89 1.32 1.21

time (sec)

N/A 0.428 0.130 0.299 0.237 0.266 1.223 0.268 14.920

Problem 2659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 20 18 24 17 17 74 17

N.S.

1 1.00 0.91 0.82 1.09 0.77 0.77 3.36 0.77

time (sec)

N/A 0.303 0.044 0.787 0.356 0.237 0.737 0.325 14.559

Problem 2660

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

14 12 12 13 12 12 12 14 12

N.S.

1 0.86 0.86 0.93 0.86 0.86 0.86 1.00 0.86

time (sec)

N/A 0.169 0.006 0.477 0.199 0.255 0.044 0.282 0.050

Problem 2661

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

25 0 33 25 25 29 20 31 25

N.S.

1 0.00 1.32 1.00 1.00 1.16 0.80 1.24 1.00

time (sec)

N/A 0.000 8.810 0.075 0.245 0.241 0.113 0.264 0.226

Problem 2662

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 17 17 18 17 17 17 18 17

N.S.

1 0.85 0.85 0.90 0.85 0.85 0.85 0.90 0.85

time (sec)

N/A 0.164 0.002 0.089 0.186 0.228 0.032 0.269 0.037

Problem 2663

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

33 96 40 36 35 35 37 35 40

N.S.

1 2.91 1.21 1.09 1.06 1.06 1.12 1.06 1.21

time (sec)

N/A 0.419 7.423 0.154 0.364 0.241 0.075 0.324 14.187

Problem 2664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B A B A A A B

verified

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

size

24 0 53 15 36 13 19 25 24

N.S.

1 0.00 2.21 0.62 1.50 0.54 0.79 1.04 1.00

time (sec)

N/A 0.000 0.512 0.286 0.323 0.276 81.358 0.291 14.193

Problem 2665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 49 43 79 166 191 0 89 33761

N.S.

1 1.88 1.65 3.04 6.38 7.35 0.00 3.42 1298.50

time (sec)

N/A 11.179 0.096 0.609 0.227 0.262 0.000 0.374 24.855

Problem 2666

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

20 0 22 22 38 38 17 38 65

N.S.

1 0.00 1.10 1.10 1.90 1.90 0.85 1.90 3.25

time (sec)

N/A 0.000 0.315 1.908 0.236 0.253 0.098 0.272 14.101

Problem 2667

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

26 33 27 18 21 20 14 25 21

N.S.

1 1.27 1.04 0.69 0.81 0.77 0.54 0.96 0.81

time (sec)

N/A 0.258 0.031 0.230 0.236 0.241 0.057 0.270 12.984

Problem 2668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 35 32 21 20 49 20 76 20

N.S.

1 1.35 1.23 0.81 0.77 1.88 0.77 2.92 0.77

time (sec)

N/A 0.585 0.151 0.391 0.257 0.258 0.165 0.277 12.976

Problem 2669

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 34 19 21 15 27 26 20 15

N.S.

1 1.55 0.86 0.95 0.68 1.23 1.18 0.91 0.68

time (sec)

N/A 0.224 0.041 0.102 0.269 0.249 0.072 0.271 12.844

Problem 2670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 0 38 38 51 49 32 37 0

N.S.

1 0.00 1.90 1.90 2.55 2.45 1.60 1.85 0.00

time (sec)

N/A 0.000 0.626 76.105 0.243 0.259 0.471 0.374 0.000

Problem 2671

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 14 14 12 14 14 12 14 11

N.S.

1 0.58 0.58 0.50 0.58 0.58 0.50 0.58 0.46

time (sec)

N/A 0.143 0.000 0.059 0.190 0.257 0.018 0.264 0.027

Problem 2672

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 31 31 40 28 23 32 35 35

N.S.

1 1.41 1.41 1.82 1.27 1.05 1.45 1.59 1.59

time (sec)

N/A 0.851 0.201 0.575 0.282 0.277 0.136 0.289 13.382

Problem 2673

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 28 21 19 44 20 15 18 16

N.S.

1 1.27 0.95 0.86 2.00 0.91 0.68 0.82 0.73

time (sec)

N/A 0.197 0.010 0.078 0.198 0.253 0.074 0.269 13.764

Problem 2674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 0 23 28 87 87 34 68 0

N.S.

1 0.00 0.72 0.88 2.72 2.72 1.06 2.12 0.00

time (sec)

N/A 0.000 0.049 0.591 0.236 0.282 0.079 0.282 0.000

Problem 2675

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 30 23 25 24 24 26 24 28

N.S.

1 1.20 0.92 1.00 0.96 0.96 1.04 0.96 1.12

time (sec)

N/A 0.300 0.560 0.117 0.196 0.250 0.057 0.267 0.180

Problem 2676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A F B

verified

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

size

21 0 17 16 40 34 15 0 19

N.S.

1 0.00 0.81 0.76 1.90 1.62 0.71 0.00 0.90

time (sec)

N/A 0.000 1.219 0.811 0.323 0.267 0.165 0.000 14.537

Problem 2677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

30 0 26 54 68 66 71 140 70

N.S.

1 0.00 0.87 1.80 2.27 2.20 2.37 4.67 2.33

time (sec)

N/A 0.000 0.102 4.521 0.222 0.274 0.304 0.343 14.365

Problem 2678

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

12 22 12 12 27 14 10 14 11

N.S.

1 1.83 1.00 1.00 2.25 1.17 0.83 1.17 0.92

time (sec)

N/A 0.803 0.304 0.184 0.214 0.253 0.046 0.263 13.809

Problem 2679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 55 42 48 26 40 20 0 0

N.S.

1 1.83 1.40 1.60 0.87 1.33 0.67 0.00 0.00

time (sec)

N/A 1.716 0.145 34.147 0.247 0.246 0.199 0.000 0.000

Problem 2680

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 24 24 25 29 24 22 24 24

N.S.

1 0.89 0.89 0.93 1.07 0.89 0.81 0.89 0.89

time (sec)

N/A 0.311 0.084 0.691 0.302 0.242 0.109 0.270 14.717

Problem 2681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

28 0 48 52 39 43 146 55 0

N.S.

1 0.00 1.71 1.86 1.39 1.54 5.21 1.96 0.00

time (sec)

N/A 0.000 5.124 0.230 0.234 0.243 0.301 0.253 0.000

Problem 2682

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 17 17 14 13 17 14 14 13

N.S.

1 0.59 0.59 0.48 0.45 0.59 0.48 0.48 0.45

time (sec)

N/A 0.154 0.004 0.033 0.182 0.248 0.035 0.256 13.355

Problem 2683

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

18 0 20 17 16 16 17 16 63

N.S.

1 0.00 1.11 0.94 0.89 0.89 0.94 0.89 3.50

time (sec)

N/A 0.000 0.146 0.724 0.215 0.263 0.083 0.282 14.469

Problem 2684

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 16 16 16 39 17 14 15 15

N.S.

1 0.64 0.64 0.64 1.56 0.68 0.56 0.60 0.60

time (sec)

N/A 0.272 0.041 0.092 0.190 0.249 0.039 0.255 13.811

Problem 2685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 79 28 39 34 40 39 51 44

N.S.

1 3.16 1.12 1.56 1.36 1.60 1.56 2.04 1.76

time (sec)

N/A 1.371 1.160 21.481 0.261 0.275 0.132 0.259 14.217

Problem 2686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 36 140 23 36 28 31 30 21

N.S.

1 1.29 5.00 0.82 1.29 1.00 1.11 1.07 0.75

time (sec)

N/A 0.199 0.637 0.172 0.198 0.258 0.084 0.260 0.191

Problem 2687

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

26 0 39 29 54 51 73 71 562

N.S.

1 0.00 1.50 1.12 2.08 1.96 2.81 2.73 21.62

time (sec)

N/A 0.000 5.050 1.518 0.322 0.251 0.120 0.321 14.805

Problem 2688

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

34 0 27 25 24 24 26 24 27

N.S.

1 0.00 0.79 0.74 0.71 0.71 0.76 0.71 0.79

time (sec)

N/A 0.000 2.333 0.885 0.283 0.271 0.133 0.264 13.630

Problem 2689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 66 55 51 52 65 57 0

N.S.

1 0.00 3.00 2.50 2.32 2.36 2.95 2.59 0.00

time (sec)

N/A 0.000 0.545 0.829 0.252 0.259 0.152 0.272 0.000

Problem 2690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 0 137 136 138 173 150 0

N.S.

1 0.00 0.00 5.71 5.67 5.75 7.21 6.25 0.00

time (sec)

N/A 0.000 0.000 1.601 0.336 0.287 0.952 1.130 0.000

Problem 2691

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

22 0 20 20 17 17 22 0 17

N.S.

1 0.00 0.91 0.91 0.77 0.77 1.00 0.00 0.77

time (sec)

N/A 0.000 0.367 2.953 0.218 0.258 0.334 0.000 13.931

Problem 2692

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 28 27 28 19 28 25

N.S.

1 0.00 0.85 1.08 1.04 1.08 0.73 1.08 0.96

time (sec)

N/A 0.000 4.053 69.646 0.322 0.255 2.319 0.260 13.311

Problem 2693

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

25 18 16 15 74 16 15 24 16

N.S.

1 0.72 0.64 0.60 2.96 0.64 0.60 0.96 0.64

time (sec)

N/A 0.205 0.075 0.101 0.208 0.271 0.088 0.252 0.097

Problem 2694

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 27 20 19 18 26 15 18 18

N.S.

1 1.35 1.00 0.95 0.90 1.30 0.75 0.90 0.90

time (sec)

N/A 0.162 0.011 0.038 0.189 0.255 0.057 0.255 12.920

Problem 2695

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

22 68 20 29 101 28 42 38 47

N.S.

1 3.09 0.91 1.32 4.59 1.27 1.91 1.73 2.14

time (sec)

N/A 0.747 0.140 0.182 0.240 0.271 0.065 0.251 13.607

Problem 2696

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

28 0 39 26 31 25 24 25 0

N.S.

1 0.00 1.39 0.93 1.11 0.89 0.86 0.89 0.00

time (sec)

N/A 0.000 1.129 0.398 0.225 0.274 0.091 0.306 0.000

Problem 2697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 40 27 16 40 40 37 40 39

N.S.

1 2.00 1.35 0.80 2.00 2.00 1.85 2.00 1.95

time (sec)

N/A 0.194 0.011 0.288 0.185 0.261 0.033 0.251 0.054

Problem 2698

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

35 0 51 45 43 43 42 47 47

N.S.

1 0.00 1.46 1.29 1.23 1.23 1.20 1.34 1.34

time (sec)

N/A 0.000 4.923 0.097 0.219 0.265 0.125 0.295 13.766

Problem 2699

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 11 13 9 9 9 10 9 8

N.S.

1 0.61 0.72 0.50 0.50 0.50 0.56 0.50 0.44

time (sec)

N/A 0.128 0.001 0.043 0.180 0.248 0.019 0.257 0.033

Problem 2700

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 20 15 20 19 19 17 19 17

N.S.

1 1.11 0.83 1.11 1.06 1.06 0.94 1.06 0.94

time (sec)

N/A 0.216 0.128 0.064 0.186 0.259 0.046 0.259 0.064

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