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 B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 15 18 15 15 31 16 15

N.S.

1 1.00 1.00 1.20 1.00 1.00 2.07 1.07 1.00

time (sec)

N/A 0.147 0.026 3.892 0.200 0.286 0.717 0.291 5.748

Problem 2602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 26 25 23 28 22 41 0 22

N.S.

1 1.13 1.09 1.00 1.22 0.96 1.78 0.00 0.96

time (sec)

N/A 0.156 0.009 3.863 0.210 0.303 0.313 0.000 0.025

Problem 2603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 33 41 42 37 73 0 0

N.S.

1 1.00 0.87 1.08 1.11 0.97 1.92 0.00 0.00

time (sec)

N/A 0.183 0.063 3.751 0.214 0.284 1.540 0.000 0.000

Problem 2604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 54 48 58 58 59 95 0 0

N.S.

1 0.95 0.84 1.02 1.02 1.04 1.67 0.00 0.00

time (sec)

N/A 0.200 0.108 3.810 0.211 0.272 2.990 0.000 0.000

Problem 2605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 70 63 75 71 72 110 0 0

N.S.

1 0.92 0.83 0.99 0.93 0.95 1.45 0.00 0.00

time (sec)

N/A 0.207 0.127 3.827 0.209 0.305 5.616 0.000 0.000

Problem 2606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 71 65 79 72 65 90 0 0

N.S.

1 0.87 0.79 0.96 0.88 0.79 1.10 0.00 0.00

time (sec)

N/A 0.208 0.003 3.867 0.210 0.269 2.675 0.000 0.000

Problem 2607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 56 52 63 60 52 75 0 0

N.S.

1 0.88 0.81 0.98 0.94 0.81 1.17 0.00 0.00

time (sec)

N/A 0.193 0.003 3.972 0.206 0.288 1.500 0.000 0.000

Problem 2608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 41 38 47 45 38 60 0 0

N.S.

1 0.89 0.83 1.02 0.98 0.83 1.30 0.00 0.00

time (sec)

N/A 0.182 0.009 3.821 0.226 0.294 1.229 0.000 0.000

Problem 2609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 26 27 31 32 24 44 0 0

N.S.

1 0.93 0.96 1.11 1.14 0.86 1.57 0.00 0.00

time (sec)

N/A 0.172 0.007 3.813 0.205 0.262 0.797 0.000 0.000

Problem 2610

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

15 15 15 18 15 15 31 16 15

N.S.

1 1.00 1.00 1.20 1.00 1.00 2.07 1.07 1.00

time (sec)

N/A 0.139 0.002 3.896 0.210 0.270 0.717 0.302 0.002

Problem 2611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 26 25 23 28 22 41 0 22

N.S.

1 1.13 1.09 1.00 1.22 0.96 1.78 0.00 0.96

time (sec)

N/A 0.152 0.003 3.839 0.215 0.301 0.309 0.000 0.002

Problem 2612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 33 41 42 37 73 0 0

N.S.

1 1.00 0.87 1.08 1.11 0.97 1.92 0.00 0.00

time (sec)

N/A 0.179 0.001 3.929 0.208 0.267 1.485 0.000 0.000

Problem 2613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 54 48 58 58 59 95 0 0

N.S.

1 0.95 0.84 1.02 1.02 1.04 1.67 0.00 0.00

time (sec)

N/A 0.195 0.011 3.763 0.213 0.363 3.045 0.000 0.000

Problem 2614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 70 63 75 71 72 110 0 0

N.S.

1 0.92 0.83 0.99 0.93 0.95 1.45 0.00 0.00

time (sec)

N/A 0.200 0.010 3.913 0.202 0.266 5.598 0.000 0.000

Problem 2615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 60 54 70 63 55 82 0 0

N.S.

1 0.85 0.76 0.99 0.89 0.77 1.15 0.00 0.00

time (sec)

N/A 0.192 0.064 3.767 0.224 0.257 1.783 0.000 0.000

Problem 2616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 48 43 57 52 44 66 0 0

N.S.

1 0.86 0.77 1.02 0.93 0.79 1.18 0.00 0.00

time (sec)

N/A 0.189 0.056 3.766 0.203 0.259 1.139 0.000 0.000

Problem 2617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 38 33 44 42 34 56 0 0

N.S.

1 0.88 0.77 1.02 0.98 0.79 1.30 0.00 0.00

time (sec)

N/A 0.178 0.051 3.891 0.210 0.259 0.911 0.000 0.000

Problem 2618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 25 26 30 31 23 42 0 0

N.S.

1 0.93 0.96 1.11 1.15 0.85 1.56 0.00 0.00

time (sec)

N/A 0.172 0.046 3.979 0.199 0.272 0.656 0.000 0.000

Problem 2619

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

15 15 15 18 15 15 31 16 15

N.S.

1 1.00 1.00 1.20 1.00 1.00 2.07 1.07 1.00

time (sec)

N/A 0.145 0.024 3.996 0.204 0.260 0.620 0.302 5.725

Problem 2620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 25 24 21 23 20 29 0 18

N.S.

1 1.14 1.09 0.95 1.05 0.91 1.32 0.00 0.82

time (sec)

N/A 0.151 0.039 3.857 0.214 0.264 0.273 0.000 5.612

Problem 2621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 34 33 34 34 51 0 0

N.S.

1 1.00 0.94 0.92 0.94 0.94 1.42 0.00 0.00

time (sec)

N/A 0.173 0.058 3.916 0.199 0.261 1.146 0.000 0.000

Problem 2622

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

53 50 45 48 47 50 66 0 0

N.S.

1 0.94 0.85 0.91 0.89 0.94 1.25 0.00 0.00

time (sec)

N/A 0.184 0.088 3.667 0.203 0.273 2.254 0.000 0.000

Problem 2623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

68 62 56 61 58 61 78 0 0

N.S.

1 0.91 0.82 0.90 0.85 0.90 1.15 0.00 0.00

time (sec)

N/A 0.195 0.098 3.830 0.212 0.298 4.248 0.000 0.000

Problem 2624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 58 74 67 78 76 178 0 0

N.S.

1 0.88 1.12 1.02 1.18 1.15 2.70 0.00 0.00

time (sec)

N/A 0.203 0.082 4.014 0.202 0.281 5.561 0.000 0.000

Problem 2625

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 43 55 51 61 59 133 0 0

N.S.

1 0.90 1.15 1.06 1.27 1.23 2.77 0.00 0.00

time (sec)

N/A 0.190 0.076 3.911 0.221 0.256 4.681 0.000 0.000

Problem 2626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 31 39 36 39 36 99 0 0

N.S.

1 0.94 1.18 1.09 1.18 1.09 3.00 0.00 0.00

time (sec)

N/A 0.183 0.062 3.920 0.273 0.258 4.319 0.000 0.000

Problem 2627

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

17 17 17 18 17 17 65 17 21

N.S.

1 1.00 1.00 1.06 1.00 1.00 3.82 1.00 1.24

time (sec)

N/A 0.150 0.026 3.772 0.256 0.249 0.704 0.282 5.824

Problem 2628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

39 39 44 40 43 50 160 0 39

N.S.

1 1.00 1.13 1.03 1.10 1.28 4.10 0.00 1.00

time (sec)

N/A 0.188 0.017 3.722 0.201 0.361 0.642 0.000 5.656

Problem 2629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 54 49 60 62 82 262 0 0

N.S.

1 0.95 0.86 1.05 1.09 1.44 4.60 0.00 0.00

time (sec)

N/A 0.199 0.147 3.847 0.211 0.265 7.269 0.000 0.000

Problem 2630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

78 72 71 79 0 105 345 0 0

N.S.

1 0.92 0.91 1.01 0.00 1.35 4.42 0.00 0.00

time (sec)

N/A 0.213 0.157 4.016 0.000 0.273 16.800 0.000 0.000

Problem 2631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 85 83 95 94 116 384 0 0

N.S.

1 0.90 0.88 1.01 1.00 1.23 4.09 0.00 0.00

time (sec)

N/A 0.232 0.240 4.041 0.198 0.266 35.925 0.000 0.000

Problem 2632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 62 68 61 91 102 309 0 0

N.S.

1 0.89 0.97 0.87 1.30 1.46 4.41 0.00 0.00

time (sec)

N/A 0.210 0.102 3.951 0.241 0.257 9.408 0.000 0.000

Problem 2633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 51 47 47 66 76 260 0 0

N.S.

1 0.91 0.84 0.84 1.18 1.36 4.64 0.00 0.00

time (sec)

N/A 0.198 0.102 3.945 0.202 0.274 15.374 0.000 0.000

Problem 2634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 29 26 41 41 88 0 37

N.S.

1 1.00 1.21 1.08 1.71 1.71 3.67 0.00 1.54

time (sec)

N/A 0.150 0.057 3.891 0.205 0.285 1.431 0.000 5.714

Problem 2635

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

19 19 19 18 17 31 136 17 33

N.S.

1 1.00 1.00 0.95 0.89 1.63 7.16 0.89 1.74

time (sec)

N/A 0.143 0.029 4.000 0.212 0.271 1.480 0.281 5.809

Problem 2636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 55 48 53 71 106 415 0 69

N.S.

1 0.95 0.83 0.91 1.22 1.83 7.16 0.00 1.19

time (sec)

N/A 0.199 0.053 3.722 0.196 0.268 1.101 0.000 5.541

Problem 2637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 71 68 70 91 139 547 0 0

N.S.

1 0.92 0.88 0.91 1.18 1.81 7.10 0.00 0.00

time (sec)

N/A 0.215 0.208 3.943 0.220 0.255 21.305 0.000 0.000

Problem 2638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 92 85 90 110 160 629 0 0

N.S.

1 0.91 0.84 0.89 1.09 1.58 6.23 0.00 0.00

time (sec)

N/A 0.236 0.180 3.785 0.203 0.272 41.650 0.000 0.000

Problem 2639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 48 32 79 0 130 41 0 0

N.S.

1 0.96 0.64 1.58 0.00 2.60 0.82 0.00 0.00

time (sec)

N/A 0.181 0.048 3.888 0.000 0.278 0.661 0.000 0.000

Problem 2640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

160 160 34 54 0 178 192 0 0

N.S.

1 1.00 0.21 0.34 0.00 1.11 1.20 0.00 0.00

time (sec)

N/A 0.328 0.046 3.788 0.000 0.317 1.036 0.000 0.000

Problem 2641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

236 259 34 54 0 255 267 0 0

N.S.

1 1.10 0.14 0.23 0.00 1.08 1.13 0.00 0.00

time (sec)

N/A 0.446 0.047 4.103 0.000 0.373 1.124 0.000 0.000

Problem 2642

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 33 41 42 37 73 0 0

N.S.

1 1.00 0.87 1.08 1.11 0.97 1.92 0.00 0.00

time (sec)

N/A 0.191 0.017 3.822 0.218 0.298 1.518 0.000 0.000

Problem 2643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 48 32 79 0 130 41 0 0

N.S.

1 0.96 0.64 1.58 0.00 2.60 0.82 0.00 0.00

time (sec)

N/A 0.174 0.001 3.801 0.000 0.317 0.655 0.000 0.000

Problem 2644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 156 32 57 0 145 189 0 0

N.S.

1 0.99 0.20 0.36 0.00 0.92 1.20 0.00 0.00

time (sec)

N/A 0.321 0.045 3.825 0.000 0.279 1.029 0.000 0.000

Problem 2645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

234 255 32 56 0 197 265 0 0

N.S.

1 1.09 0.14 0.24 0.00 0.84 1.13 0.00 0.00

time (sec)

N/A 0.456 0.044 3.710 0.000 0.301 1.128 0.000 0.000

Problem 2646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

68 70 34 97 0 251 56 0 0

N.S.

1 1.03 0.50 1.43 0.00 3.69 0.82 0.00 0.00

time (sec)

N/A 0.208 0.046 3.797 0.000 0.334 1.056 0.000 0.000

Problem 2647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

176 178 34 73 0 180 230 0 0

N.S.

1 1.01 0.19 0.41 0.00 1.02 1.31 0.00 0.00

time (sec)

N/A 0.352 0.046 3.700 0.000 0.333 1.085 0.000 0.000

Problem 2648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

252 277 34 73 0 261 309 0 0

N.S.

1 1.10 0.13 0.29 0.00 1.04 1.23 0.00 0.00

time (sec)

N/A 0.456 0.046 3.868 0.000 0.436 1.208 0.000 0.000

Problem 2649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 84 57 67 66 66 2572 0 0

N.S.

1 0.91 0.62 0.73 0.72 0.72 27.96 0.00 0.00

time (sec)

N/A 0.207 0.079 3.858 0.242 0.270 4.796 0.000 0.000

Problem 2650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

68 63 44 54 53 53 1015 0 0

N.S.

1 0.93 0.65 0.79 0.78 0.78 14.93 0.00 0.00

time (sec)

N/A 0.190 0.071 3.894 0.238 0.261 2.994 0.000 0.000

Problem 2651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

44 42 31 41 39 39 338 0 0

N.S.

1 0.95 0.70 0.93 0.89 0.89 7.68 0.00 0.00

time (sec)

N/A 0.173 0.066 4.059 0.220 0.266 1.816 0.000 0.000

Problem 2652

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

21 21 21 18 17 17 48 17 17

N.S.

1 1.00 1.00 0.86 0.81 0.81 2.29 0.81 0.81

time (sec)

N/A 0.144 0.033 3.913 0.193 0.277 1.198 0.285 6.246

Problem 2653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 43 42 36 54 91 76 0 0

N.S.

1 0.96 0.93 0.80 1.20 2.02 1.69 0.00 0.00

time (sec)

N/A 0.169 0.011 3.626 0.273 0.279 0.941 0.000 0.000

Problem 2654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

51 49 48 0 0 119 49 0 0

N.S.

1 0.96 0.94 0.00 0.00 2.33 0.96 0.00 0.00

time (sec)

N/A 0.167 0.137 0.000 0.000 0.283 2.368 0.000 0.000

Problem 2655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

84 77 69 0 0 153 112 0 0

N.S.

1 0.92 0.82 0.00 0.00 1.82 1.33 0.00 0.00

time (sec)

N/A 0.190 0.184 0.000 0.000 0.274 5.876 0.000 0.000

Problem 2656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 109 81 0 0 183 143 0 0

N.S.

1 0.96 0.72 0.00 0.00 1.62 1.27 0.00 0.00

time (sec)

N/A 0.202 0.238 0.000 0.000 0.293 15.857 0.000 0.000

Problem 2657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

142 141 95 0 0 209 178 0 0

N.S.

1 0.99 0.67 0.00 0.00 1.47 1.25 0.00 0.00

time (sec)

N/A 0.217 0.239 0.000 0.000 0.419 50.588 0.000 0.000

Problem 2658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 80 57 54 66 53 2422 0 0

N.S.

1 0.91 0.65 0.61 0.75 0.60 27.52 0.00 0.00

time (sec)

N/A 0.205 0.070 3.865 0.227 0.259 3.426 0.000 0.000

Problem 2659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 61 44 41 53 40 916 0 0

N.S.

1 0.92 0.67 0.62 0.80 0.61 13.88 0.00 0.00

time (sec)

N/A 0.186 0.063 3.984 0.221 0.267 2.043 0.000 0.000

Problem 2660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

42 40 30 28 39 26 275 0 0

N.S.

1 0.95 0.71 0.67 0.93 0.62 6.55 0.00 0.00

time (sec)

N/A 0.176 0.056 3.702 0.200 0.267 1.220 0.000 0.000

Problem 2661

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

19 19 19 18 17 17 44 17 17

N.S.

1 1.00 1.00 0.95 0.89 0.89 2.32 0.89 0.89

time (sec)

N/A 0.143 0.033 3.787 0.197 0.287 0.862 0.289 6.002

Problem 2662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 28 23 39 70 26 0 0

N.S.

1 1.00 1.00 0.82 1.39 2.50 0.93 0.00 0.00

time (sec)

N/A 0.157 0.002 3.755 0.285 0.271 0.649 0.000 0.000

Problem 2663

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

53 51 53 0 0 119 49 0 0

N.S.

1 0.96 1.00 0.00 0.00 2.25 0.92 0.00 0.00

time (sec)

N/A 0.171 0.121 0.000 0.000 0.292 3.155 0.000 0.000

Problem 2664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

87 83 68 0 0 157 117 0 0

N.S.

1 0.95 0.78 0.00 0.00 1.80 1.34 0.00 0.00

time (sec)

N/A 0.187 0.176 0.000 0.000 0.273 8.711 0.000 0.000

Problem 2665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

116 115 81 0 0 183 150 0 0

N.S.

1 0.99 0.70 0.00 0.00 1.58 1.29 0.00 0.00

time (sec)

N/A 0.205 0.186 0.000 0.000 0.298 26.572 0.000 0.000

Problem 2666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

145 147 94 0 0 209 182 0 0

N.S.

1 1.01 0.65 0.00 0.00 1.44 1.26 0.00 0.00

time (sec)

N/A 0.218 0.222 0.000 0.000 0.275 86.342 0.000 0.000

Problem 2667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 67 78 75 362 3536 622 77

N.S.

1 1.00 0.89 1.04 1.00 4.83 47.15 8.29 1.03

time (sec)

N/A 0.211 0.096 3.694 0.187 0.280 2.650 0.285 5.979

Problem 2668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 46 53 51 151 981 238 52

N.S.

1 1.00 0.90 1.04 1.00 2.96 19.24 4.67 1.02

time (sec)

N/A 0.197 0.066 3.869 0.197 0.260 1.257 0.306 5.891

Problem 2669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 27 28 27 43 148 55 27

N.S.

1 1.00 1.00 1.04 1.00 1.59 5.48 2.04 1.00

time (sec)

N/A 0.170 0.043 0.039 0.197 0.274 0.576 0.300 5.863

Problem 2670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

40 40 41 0 0 0 133 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 3.32 0.00 0.00

time (sec)

N/A 0.168 0.039 0.000 0.000 0.000 0.627 0.000 0.000

Problem 2671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

40 40 41 0 0 0 1068 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 26.70 0.00 0.00

time (sec)

N/A 0.161 0.040 0.000 0.000 0.000 1.096 0.000 0.000

Problem 2672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

40 40 41 0 0 0 4539 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 113.48 0.00 0.00

time (sec)

N/A 0.165 0.040 0.000 0.000 0.000 2.275 0.000 0.000

Problem 2673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

55 65 66 0 0 0 73 0 0

N.S.

1 1.18 1.20 0.00 0.00 0.00 1.33 0.00 0.00

time (sec)

N/A 0.191 0.060 0.000 0.000 0.000 7.646 0.000 0.000

Problem 2674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

55 64 65 0 0 0 73 0 0

N.S.

1 1.16 1.18 0.00 0.00 0.00 1.33 0.00 0.00

time (sec)

N/A 0.189 0.047 0.000 0.000 0.000 1.068 0.000 0.000

Problem 2675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

55 64 65 0 0 0 73 0 0

N.S.

1 1.16 1.18 0.00 0.00 0.00 1.33 0.00 0.00

time (sec)

N/A 0.188 0.050 0.000 0.000 0.000 0.830 0.000 0.000

Problem 2676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

55 67 68 0 0 0 73 0 0

N.S.

1 1.22 1.24 0.00 0.00 0.00 1.33 0.00 0.00

time (sec)

N/A 0.192 0.062 0.000 0.000 0.000 1.468 0.000 0.000

Problem 2677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

55 67 68 0 0 0 73 0 0

N.S.

1 1.22 1.24 0.00 0.00 0.00 1.33 0.00 0.00

time (sec)

N/A 0.186 0.063 0.000 0.000 0.000 7.707 0.000 0.000

Problem 2678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

59 70 68 0 0 0 60 0 0

N.S.

1 1.19 1.15 0.00 0.00 0.00 1.02 0.00 0.00

time (sec)

N/A 0.201 0.061 0.000 0.000 0.000 2.313 0.000 0.000

Problem 2679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

56 65 65 0 0 0 58 0 0

N.S.

1 1.16 1.16 0.00 0.00 0.00 1.04 0.00 0.00

time (sec)

N/A 0.192 0.058 0.000 0.000 0.000 1.608 0.000 0.000

Problem 2680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

56 65 64 0 0 0 66 0 0

N.S.

1 1.16 1.14 0.00 0.00 0.00 1.18 0.00 0.00

time (sec)

N/A 0.201 0.062 0.000 0.000 0.000 1.631 0.000 0.000

Problem 2681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

61 72 68 0 0 0 71 0 0

N.S.

1 1.18 1.11 0.00 0.00 0.00 1.16 0.00 0.00

time (sec)

N/A 0.193 0.064 0.000 0.000 0.000 2.551 0.000 0.000

Problem 2682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

66 75 77 0 0 0 82 0 0

N.S.

1 1.14 1.17 0.00 0.00 0.00 1.24 0.00 0.00

time (sec)

N/A 0.205 0.063 0.000 0.000 0.000 0.816 0.000 0.000

Problem 2683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

60 69 69 0 0 0 80 0 0

N.S.

1 1.15 1.15 0.00 0.00 0.00 1.33 0.00 0.00

time (sec)

N/A 0.191 0.063 0.000 0.000 0.000 0.839 0.000 0.000

Problem 2684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

63 72 72 0 0 0 75 0 0

N.S.

1 1.14 1.14 0.00 0.00 0.00 1.19 0.00 0.00

time (sec)

N/A 0.194 0.062 0.000 0.000 0.000 0.845 0.000 0.000

Problem 2685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

66 75 77 0 0 0 80 0 0

N.S.

1 1.14 1.17 0.00 0.00 0.00 1.21 0.00 0.00

time (sec)

N/A 0.198 0.065 0.000 0.000 0.000 0.891 0.000 0.000

Problem 2686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

15 126 111 0 13 0 114 0 0

N.S.

1 8.40 7.40 0.00 0.87 0.00 7.60 0.00 0.00

time (sec)

N/A 0.262 0.337 0.000 0.273 0.000 1.791 0.000 0.000

Problem 2687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 191 100 98 0 175 148 0 0

N.S.

1 1.48 0.78 0.76 0.00 1.36 1.15 0.00 0.00

time (sec)

N/A 0.225 0.282 3.734 0.000 0.362 7.684 0.000 0.000

Problem 2688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 139 100 82 0 150 116 0 0

N.S.

1 1.42 1.02 0.84 0.00 1.53 1.18 0.00 0.00

time (sec)

N/A 0.211 0.099 4.044 0.000 0.292 2.757 0.000 0.000

Problem 2689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 85 81 64 0 114 49 0 0

N.S.

1 1.37 1.31 1.03 0.00 1.84 0.79 0.00 0.00

time (sec)

N/A 0.182 0.089 3.749 0.000 0.301 1.428 0.000 0.000

Problem 2690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

35 35 59 0 0 0 24 0 0

N.S.

1 1.00 1.69 0.00 0.00 0.00 0.69 0.00 0.00

time (sec)

N/A 0.163 0.055 0.000 0.000 0.000 0.726 0.000 0.000

Problem 2691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 26 26 0 0 0 22 0 24

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.85 0.00 0.92

time (sec)

N/A 0.150 0.046 0.000 0.000 0.000 0.518 0.000 6.217

Problem 2692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

58 58 36 0 0 0 51 0 0

N.S.

1 1.00 0.62 0.00 0.00 0.00 0.88 0.00 0.00

time (sec)

N/A 0.182 0.056 0.000 0.000 0.000 0.606 0.000 0.000

Problem 2693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

89 95 51 0 0 0 354 0 0

N.S.

1 1.07 0.57 0.00 0.00 0.00 3.98 0.00 0.00

time (sec)

N/A 0.204 0.059 0.000 0.000 0.000 0.837 0.000 0.000

Problem 2694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

120 132 64 0 0 0 605 0 0

N.S.

1 1.10 0.53 0.00 0.00 0.00 5.04 0.00 0.00

time (sec)

N/A 0.239 0.062 0.000 0.000 0.000 1.021 0.000 0.000

Problem 2695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

65 81 75 0 0 0 110 0 0

N.S.

1 1.25 1.15 0.00 0.00 0.00 1.69 0.00 0.00

time (sec)

N/A 0.214 0.212 0.000 0.000 0.000 1.188 0.000 0.000

Problem 2696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

67 81 79 0 0 0 128 0 0

N.S.

1 1.21 1.18 0.00 0.00 0.00 1.91 0.00 0.00

time (sec)

N/A 0.223 0.172 0.000 0.000 0.000 1.137 0.000 0.000

Problem 2697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 160 128 40 37 0 194 0 0

N.S.

1 6.15 4.92 1.54 1.42 0.00 7.46 0.00 0.00

time (sec)

N/A 0.288 1.036 3.846 0.254 0.000 1.725 0.000 0.000

Problem 2698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F A A C F B

verified

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

size

15 15 111 0 13 16 122 0 13

N.S.

1 1.00 7.40 0.00 0.87 1.07 8.13 0.00 0.87

time (sec)

N/A 0.162 0.049 0.000 0.286 0.271 5.293 0.000 6.002

Problem 2699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

15 126 111 0 13 0 114 0 0

N.S.

1 8.40 7.40 0.00 0.87 0.00 7.60 0.00 0.00

time (sec)

N/A 0.246 0.001 0.000 0.253 0.000 1.739 0.000 0.000

Problem 2700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

97 92 67 0 0 0 107 0 0

N.S.

1 0.95 0.69 0.00 0.00 0.00 1.10 0.00 0.00

time (sec)

N/A 0.191 0.082 0.000 0.000 0.000 0.852 0.000 0.000