2.2.23 Integrals 2201 to 2300

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 2201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 54 66 62 65 61 68 0

N.S.

1 0.00 1.80 2.20 2.07 2.17 2.03 2.27 0.00

time (sec)

N/A 0.000 1.228 0.701 0.527 0.264 0.437 0.880 0.000

Problem 2202

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

27 0 39 28 37 49 32 37 31

N.S.

1 0.00 1.44 1.04 1.37 1.81 1.19 1.37 1.15

time (sec)

N/A 0.000 0.089 0.592 0.360 0.268 0.082 0.350 14.165

Problem 2203

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 12 10 11 13 13 8 16 15

N.S.

1 1.20 1.00 1.10 1.30 1.30 0.80 1.60 1.50

time (sec)

N/A 0.159 0.008 0.024 0.187 0.251 0.045 0.275 11.999

Problem 2204

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 5 5 5 4 4 3 4 4

N.S.

1 0.36 0.36 0.36 0.29 0.29 0.21 0.29 0.29

time (sec)

N/A 0.131 0.001 0.059 0.190 0.237 0.028 0.257 0.014

Problem 2205

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 27 33 37 31 31 41 33

N.S.

1 0.00 0.93 1.14 1.28 1.07 1.07 1.41 1.14

time (sec)

N/A 0.000 0.579 10.110 0.289 0.253 0.508 0.367 12.566

Problem 2206

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

19 0 18 23 22 22 24 0 22

N.S.

1 0.00 0.95 1.21 1.16 1.16 1.26 0.00 1.16

time (sec)

N/A 0.000 0.138 0.203 0.240 0.254 0.451 0.000 12.326

Problem 2207

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

14 0 14 15 12 14 12 14 14

N.S.

1 0.00 1.00 1.07 0.86 1.00 0.86 1.00 1.00

time (sec)

N/A 0.000 0.100 1.018 0.229 0.251 0.059 0.263 12.026

Problem 2208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B B B B F B

verified

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

size

34 0 204 89 627 285 1028 0 520

N.S.

1 0.00 6.00 2.62 18.44 8.38 30.24 0.00 15.29

time (sec)

N/A 0.000 0.140 19.553 0.323 0.260 1.348 0.000 13.041

Problem 2209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 45 51 44 44 44 381 0

N.S.

1 0.00 1.55 1.76 1.52 1.52 1.52 13.14 0.00

time (sec)

N/A 0.000 0.171 0.907 0.366 0.263 0.248 0.378 0.000

Problem 2210

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 24 23 23 24 44 21

N.S.

1 0.00 0.84 0.77 0.74 0.74 0.77 1.42 0.68

time (sec)

N/A 0.000 0.976 0.633 0.363 0.242 0.110 0.406 11.597

Problem 2211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B A B

verified

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

size

33 0 30 29 38 40 53 45 28

N.S.

1 0.00 0.91 0.88 1.15 1.21 1.61 1.36 0.85

time (sec)

N/A 0.000 5.083 1.122 0.247 0.260 0.202 0.337 12.296

Problem 2212

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 38 38 32 33 37 26 39 29

N.S.

1 1.65 1.65 1.39 1.43 1.61 1.13 1.70 1.26

time (sec)

N/A 0.300 0.016 0.096 0.190 0.243 0.115 0.265 11.146

Problem 2213

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

15 15 15 15 14 14 15 14 14

N.S.

1 1.00 1.00 1.00 0.93 0.93 1.00 0.93 0.93

time (sec)

N/A 0.153 0.015 0.162 0.182 0.263 0.039 0.272 0.026

Problem 2214

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

35 28 24 19 18 21 17 19 18

N.S.

1 0.80 0.69 0.54 0.51 0.60 0.49 0.54 0.51

time (sec)

N/A 0.233 0.010 0.048 0.177 0.246 0.051 0.268 0.067

Problem 2215

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 21 27 20 15 20 20

N.S.

1 0.00 1.00 0.95 1.23 0.91 0.68 0.91 0.91

time (sec)

N/A 0.000 0.427 0.757 0.305 0.240 0.072 0.372 0.695

Problem 2216

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

21 43 29 35 76 30 37 30 22

N.S.

1 2.05 1.38 1.67 3.62 1.43 1.76 1.43 1.05

time (sec)

N/A 0.605 0.068 0.668 0.226 0.252 0.241 0.272 11.825

Problem 2217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

14 40 36 37 36 36 37 36 0

N.S.

1 2.86 2.57 2.64 2.57 2.57 2.64 2.57 0.00

time (sec)

N/A 0.771 0.037 0.953 0.244 0.244 0.099 0.311 0.000

Problem 2218

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

29 24 17 20 27 16 19 16 16

N.S.

1 0.83 0.59 0.69 0.93 0.55 0.66 0.55 0.55

time (sec)

N/A 0.204 0.025 0.055 0.212 0.252 0.085 0.269 12.144

Problem 2219

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 22 19 20 16 19 19 16 19

N.S.

1 1.16 1.00 1.05 0.84 1.00 1.00 0.84 1.00

time (sec)

N/A 0.313 0.054 0.079 0.324 0.236 0.067 0.286 12.248

Problem 2220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

40 0 145 54 77 79 44 53 0

N.S.

1 0.00 3.62 1.35 1.92 1.98 1.10 1.32 0.00

time (sec)

N/A 0.000 0.115 0.904 0.245 0.284 0.249 0.359 0.000

Problem 2221

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 28 26 17 26 22 26 46

N.S.

1 0.00 1.27 1.18 0.77 1.18 1.00 1.18 2.09

time (sec)

N/A 0.000 0.558 0.298 0.367 0.247 0.089 0.316 12.111

Problem 2222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 45 31 37 205 41 39 0 110

N.S.

1 1.45 1.00 1.19 6.61 1.32 1.26 0.00 3.55

time (sec)

N/A 0.439 3.518 0.221 0.342 0.253 0.295 0.000 12.836

Problem 2223

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

19 33 21 21 0 23 19 32 22

N.S.

1 1.74 1.11 1.11 0.00 1.21 1.00 1.68 1.16

time (sec)

N/A 0.421 0.497 0.358 0.000 0.237 0.057 0.286 0.126

Problem 2224

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 14 14 13 14 14 12 16 12

N.S.

1 0.78 0.78 0.72 0.78 0.78 0.67 0.89 0.67

time (sec)

N/A 0.201 0.008 0.407 0.182 0.267 0.042 0.264 11.729

Problem 2225

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

19 12 12 12 42 14 12 14 11

N.S.

1 0.63 0.63 0.63 2.21 0.74 0.63 0.74 0.58

time (sec)

N/A 0.251 0.092 0.044 0.178 0.286 0.120 0.274 0.051

Problem 2226

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

20 88 23 78 61 61 95 61 93

N.S.

1 4.40 1.15 3.90 3.05 3.05 4.75 3.05 4.65

time (sec)

N/A 0.214 0.013 0.156 0.195 0.249 0.031 0.269 0.084

Problem 2227

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

32 82 61 47 93 35 49 58 44

N.S.

1 2.56 1.91 1.47 2.91 1.09 1.53 1.81 1.38

time (sec)

N/A 0.290 0.041 0.095 0.192 0.283 0.083 0.277 12.083

Problem 2228

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 8 8 8 7 7 7 7 7

N.S.

1 0.33 0.33 0.33 0.29 0.29 0.29 0.29 0.29

time (sec)

N/A 0.120 0.001 0.029 0.183 0.239 0.020 0.263 0.040

Problem 2229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A C A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 48 22 39 74 34 41 40 21

N.S.

1 2.29 1.05 1.86 3.52 1.62 1.95 1.90 1.00

time (sec)

N/A 0.343 1.403 0.063 0.217 0.242 0.060 0.263 11.315

Problem 2230

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

31 32 28 29 51 26 32 36 27

N.S.

1 1.03 0.90 0.94 1.65 0.84 1.03 1.16 0.87

time (sec)

N/A 0.232 0.725 0.073 0.224 0.239 0.074 0.268 10.902

Problem 2231

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 21 18 15 13 13 15 13 14

N.S.

1 1.24 1.06 0.88 0.76 0.76 0.88 0.76 0.82

time (sec)

N/A 0.132 0.004 0.074 0.191 0.254 0.042 0.261 10.666

Problem 2232

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

25 25 24 42 26 24 22 0 24

N.S.

1 1.00 0.96 1.68 1.04 0.96 0.88 0.00 0.96

time (sec)

N/A 0.556 0.069 0.895 0.256 0.268 0.230 0.000 11.986

Problem 2233

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

27 0 31 22 28 21 20 21 21

N.S.

1 0.00 1.15 0.81 1.04 0.78 0.74 0.78 0.78

time (sec)

N/A 0.000 5.116 0.971 0.220 0.255 6.523 0.283 11.010

Problem 2234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 25 25 88 48 87 82 56 59

N.S.

1 0.89 0.89 3.14 1.71 3.11 2.93 2.00 2.11

time (sec)

N/A 7.668 0.358 5.328 0.597 0.258 5.188 16.977 11.268

Problem 2235

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 36 36 34 31 34 32 36 33

N.S.

1 1.44 1.44 1.36 1.24 1.36 1.28 1.44 1.32

time (sec)

N/A 4.310 0.099 1.186 0.262 0.247 0.242 0.285 11.833

Problem 2236

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

24 29 28 21 81 18 24 50 18

N.S.

1 1.21 1.17 0.88 3.38 0.75 1.00 2.08 0.75

time (sec)

N/A 0.608 0.111 0.344 0.338 0.261 0.125 0.281 11.340

Problem 2237

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

27 36 35 24 33 32 66 33 64

N.S.

1 1.33 1.30 0.89 1.22 1.19 2.44 1.22 2.37

time (sec)

N/A 0.165 0.004 0.132 0.185 0.253 0.025 0.268 10.720

Problem 2238

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

15 15 15 15 13 16 14 13 13

N.S.

1 1.00 1.00 1.00 0.87 1.07 0.93 0.87 0.87

time (sec)

N/A 0.294 0.180 0.057 0.266 0.248 0.077 0.265 10.372

Problem 2239

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

22 28 27 26 32 31 29 26 28

N.S.

1 1.27 1.23 1.18 1.45 1.41 1.32 1.18 1.27

time (sec)

N/A 0.277 0.276 0.141 0.216 0.277 0.057 0.270 10.641

Problem 2240

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 22 20 17 17 22 17 14

N.S.

1 0.87 0.96 0.87 0.74 0.74 0.96 0.74 0.61

time (sec)

N/A 0.129 0.002 0.080 0.178 0.241 0.019 0.271 0.066

Problem 2241

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

23 0 21 24 54 26 148 127 21

N.S.

1 0.00 0.91 1.04 2.35 1.13 6.43 5.52 0.91

time (sec)

N/A 0.000 0.322 1.382 0.321 0.268 0.152 0.291 10.637

Problem 2242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 80 47 28 111 59 31 60 58

N.S.

1 2.86 1.68 1.00 3.96 2.11 1.11 2.14 2.07

time (sec)

N/A 2.214 8.169 0.214 0.253 0.247 0.077 0.282 0.325

Problem 2243

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

14 0 17 16 0 18 14 22 15

N.S.

1 0.00 1.21 1.14 0.00 1.29 1.00 1.57 1.07

time (sec)

N/A 0.000 0.084 0.502 0.000 0.256 0.131 0.302 10.748

Problem 2244

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 13 13 12 11 16 22 12 11

N.S.

1 0.81 0.81 0.75 0.69 1.00 1.38 0.75 0.69

time (sec)

N/A 0.148 0.004 0.044 0.179 0.248 0.046 0.258 10.391

Problem 2245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 55 70 58 53 54 58 0 63

N.S.

1 2.04 2.59 2.15 1.96 2.00 2.15 0.00 2.33

time (sec)

N/A 1.020 0.055 0.110 0.176 0.259 3.337 0.000 10.735

Problem 2246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 34 84 59 147 116 898950 0

N.S.

1 0.00 1.48 3.65 2.57 6.39 5.04 39084.78 0.00

time (sec)

N/A 0.000 0.085 50.975 0.269 0.276 0.206 6.975 0.000

Problem 2247

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 12 12 12 11 11 8 11 11

N.S.

1 0.41 0.41 0.41 0.38 0.38 0.28 0.38 0.38

time (sec)

N/A 0.147 0.006 0.059 0.184 0.259 0.059 0.263 10.771

Problem 2248

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 18 18 18 17 17 15 17 17

N.S.

1 0.69 0.69 0.69 0.65 0.65 0.58 0.65 0.65

time (sec)

N/A 0.198 0.047 0.037 0.185 0.261 0.051 0.273 11.167

Problem 2249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 71 95 474 81 0 0 295

N.S.

1 0.00 2.45 3.28 16.34 2.79 0.00 0.00 10.17

time (sec)

N/A 0.000 1.231 1.564 0.358 0.282 0.000 0.000 11.741

Problem 2250

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

27 0 23 30 39 30 29 40 0

N.S.

1 0.00 0.85 1.11 1.44 1.11 1.07 1.48 0.00

time (sec)

N/A 0.000 0.272 2.326 0.328 0.251 0.163 0.294 0.000

Problem 2251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A F B

verified

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

size

37 0 31 29 25 114 31 0 26

N.S.

1 0.00 0.84 0.78 0.68 3.08 0.84 0.00 0.70

time (sec)

N/A 0.000 3.267 0.428 0.397 0.262 0.470 0.000 11.658

Problem 2252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 26 42 44 0 0 44

N.S.

1 0.00 0.00 0.84 1.35 1.42 0.00 0.00 1.42

time (sec)

N/A 0.000 0.000 28.289 0.338 0.255 0.000 0.000 11.619

Problem 2253

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 21 20 20 15 20 27

N.S.

1 0.96 0.96 0.84 0.80 0.80 0.60 0.80 1.08

time (sec)

N/A 0.251 0.313 0.121 0.185 0.238 0.091 0.273 0.115

Problem 2254

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

23 34 32 17 0 25 19 30 18

N.S.

1 1.48 1.39 0.74 0.00 1.09 0.83 1.30 0.78

time (sec)

N/A 0.402 0.173 0.335 0.000 0.250 0.082 0.270 0.114

Problem 2255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B B B B F B

verified

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

size

33 0 77 82 213 246 78 0 232

N.S.

1 0.00 2.33 2.48 6.45 7.45 2.36 0.00 7.03

time (sec)

N/A 0.000 1.812 21.870 1.876 0.255 0.529 0.000 16.703

Problem 2256

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 15 18 17 17 20 17 15

N.S.

1 1.00 0.79 0.95 0.89 0.89 1.05 0.89 0.79

time (sec)

N/A 0.143 0.002 0.021 0.178 0.248 0.042 0.291 10.796

Problem 2257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 0 18 16 33 17 0 17 15

N.S.

1 0.00 0.86 0.76 1.57 0.81 0.00 0.81 0.71

time (sec)

N/A 0.000 0.746 2.437 0.450 0.249 0.000 0.331 10.944

Problem 2258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A F A A A A A B

verified

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

size

25 20 0 19 33 18 17 18 18

N.S.

1 0.80 0.00 0.76 1.32 0.72 0.68 0.72 0.72

time (sec)

N/A 0.378 0.000 0.498 0.372 0.243 0.102 0.300 11.411

Problem 2259

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

19 0 19 20 47 19 15 19 19

N.S.

1 0.00 1.00 1.05 2.47 1.00 0.79 1.00 1.00

time (sec)

N/A 0.000 0.107 0.122 0.219 0.254 0.047 0.281 11.264

Problem 2260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 63 72 60 139 133 0 68 0

N.S.

1 2.17 2.48 2.07 4.79 4.59 0.00 2.34 0.00

time (sec)

N/A 2.599 2.978 0.736 0.312 0.275 0.000 0.481 0.000

Problem 2261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 52 197 0 165 178 0 553

N.S.

1 0.00 1.68 6.35 0.00 5.32 5.74 0.00 17.84

time (sec)

N/A 0.000 0.789 46.772 0.000 0.287 1.814 0.000 16.082

Problem 2262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F C A B B B B B

verified

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

size

38 0 67 63 102 96 56 121 89

N.S.

1 0.00 1.76 1.66 2.68 2.53 1.47 3.18 2.34

time (sec)

N/A 0.000 2.840 1.254 0.259 0.256 0.152 0.379 14.279

Problem 2263

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

20 74 42 31 45 32 29 39 17

N.S.

1 3.70 2.10 1.55 2.25 1.60 1.45 1.95 0.85

time (sec)

N/A 1.260 0.212 0.649 0.307 0.253 0.301 0.286 14.781

Problem 2264

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

30 0 0 174 279 262 260 242 0

N.S.

1 0.00 0.00 5.80 9.30 8.73 8.67 8.07 0.00

time (sec)

N/A 0.000 0.000 1.092 0.380 0.276 1.105 0.367 0.000

Problem 2265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 29 0 47 48 45 20 61 0

N.S.

1 1.16 0.00 1.88 1.92 1.80 0.80 2.44 0.00

time (sec)

N/A 1.452 0.000 0.336 0.314 0.251 0.114 0.286 0.000

Problem 2266

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

23 43 26 25 56 34 22 37 24

N.S.

1 1.87 1.13 1.09 2.43 1.48 0.96 1.61 1.04

time (sec)

N/A 0.444 0.085 0.589 0.211 0.242 0.120 0.269 14.238

Problem 2267

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

22 0 22 29 35 29 31 454 112

N.S.

1 0.00 1.00 1.32 1.59 1.32 1.41 20.64 5.09

time (sec)

N/A 0.000 0.528 1.071 0.312 0.244 0.099 0.356 14.750

Problem 2268

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 16 16 14 20 20 22 20 13

N.S.

1 0.89 0.89 0.78 1.11 1.11 1.22 1.11 0.72

time (sec)

N/A 0.577 0.359 0.061 0.231 0.238 0.057 0.278 0.147

Problem 2269

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

27 0 38 27 42 57 29 25 26

N.S.

1 0.00 1.41 1.00 1.56 2.11 1.07 0.93 0.96

time (sec)

N/A 0.000 5.152 1.327 0.223 0.247 0.199 0.273 13.950

Problem 2270

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

31 0 32 28 30 30 24 30 0

N.S.

1 0.00 1.03 0.90 0.97 0.97 0.77 0.97 0.00

time (sec)

N/A 0.000 0.120 0.157 0.236 0.247 0.102 0.302 0.000

Problem 2271

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 9 9 8 7 7 7 7 7

N.S.

1 1.00 1.00 0.89 0.78 0.78 0.78 0.78 0.78

time (sec)

N/A 0.161 0.009 0.040 0.183 0.265 0.065 0.264 0.049

Problem 2272

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 58 63 61 62 26 61 33

N.S.

1 0.00 1.81 1.97 1.91 1.94 0.81 1.91 1.03

time (sec)

N/A 0.000 0.160 8.785 0.328 0.240 0.165 0.671 14.148

Problem 2273

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 23 22 22 20 22 23

N.S.

1 0.89 0.89 0.85 0.81 0.81 0.74 0.81 0.85

time (sec)

N/A 0.488 0.046 0.530 0.273 0.241 0.069 0.262 0.099

Problem 2274

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 41 23 28 38 27 27 33 36

N.S.

1 1.52 0.85 1.04 1.41 1.00 1.00 1.22 1.33

time (sec)

N/A 0.336 0.049 0.158 0.223 0.247 0.065 0.255 14.006

Problem 2275

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 32 18 19 35 18 14 18 21

N.S.

1 1.60 0.90 0.95 1.75 0.90 0.70 0.90 1.05

time (sec)

N/A 0.766 0.343 0.069 0.231 0.251 0.058 0.258 14.057

Problem 2276

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

24 0 33 28 41 27 22 0 27

N.S.

1 0.00 1.38 1.17 1.71 1.12 0.92 0.00 1.12

time (sec)

N/A 0.000 0.392 0.163 0.254 0.238 2.079 0.000 14.225

Problem 2277

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 19 15 10 9 9 10 9 9

N.S.

1 1.46 1.15 0.77 0.69 0.69 0.77 0.69 0.69

time (sec)

N/A 0.181 0.026 0.060 0.185 0.257 0.035 0.263 0.049

Problem 2278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 24 21 44 57 43 41 405 25

N.S.

1 0.92 0.81 1.69 2.19 1.65 1.58 15.58 0.96

time (sec)

N/A 0.315 0.023 0.517 0.283 0.266 0.072 1.544 17.174

Problem 2279

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

28 0 31 28 49 62 27 0 28

N.S.

1 0.00 1.11 1.00 1.75 2.21 0.96 0.00 1.00

time (sec)

N/A 0.000 1.100 3.151 0.205 0.249 0.609 0.000 14.751

Problem 2280

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

15 12 12 13 12 12 12 12 12

N.S.

1 0.80 0.80 0.87 0.80 0.80 0.80 0.80 0.80

time (sec)

N/A 0.328 0.094 0.457 0.219 0.255 0.059 0.266 14.444

Problem 2281

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 42 33 22 32 20 19 32 34

N.S.

1 1.83 1.43 0.96 1.39 0.87 0.83 1.39 1.48

time (sec)

N/A 0.248 0.274 0.031 0.266 0.246 0.051 0.274 0.129

Problem 2282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 0 93 77 42 77 116 163 0

N.S.

1 0.00 2.58 2.14 1.17 2.14 3.22 4.53 0.00

time (sec)

N/A 0.000 0.184 1.640 0.328 0.269 0.461 0.469 0.000

Problem 2283

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

12 12 12 13 20 12 12 12 12

N.S.

1 1.00 1.00 1.08 1.67 1.00 1.00 1.00 1.00

time (sec)

N/A 0.216 0.063 12.622 0.286 0.261 0.108 0.279 15.429

Problem 2284

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 18 18 16 18 14 12 18 16

N.S.

1 0.82 0.82 0.73 0.82 0.64 0.55 0.82 0.73

time (sec)

N/A 0.170 0.005 0.047 0.191 0.266 0.051 0.268 14.246

Problem 2285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 31 0 24 0 0 0 22

N.S.

1 0.00 1.24 0.00 0.96 0.00 0.00 0.00 0.88

time (sec)

N/A 0.000 0.206 0.000 0.251 0.000 0.000 0.000 16.010

Problem 2286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 0 27 198 0 23 0 0 23

N.S.

1 0.00 1.00 7.33 0.00 0.85 0.00 0.00 0.85

time (sec)

N/A 0.000 0.245 1.239 0.000 0.260 0.000 0.000 14.910

Problem 2287

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

43 0 0 23 68 33 24 0 38

N.S.

1 0.00 0.00 0.53 1.58 0.77 0.56 0.00 0.88

time (sec)

N/A 0.000 0.000 3.765 0.397 0.249 0.388 0.000 14.310

Problem 2288

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 39 37 40 0 43 32 46 37

N.S.

1 1.50 1.42 1.54 0.00 1.65 1.23 1.77 1.42

time (sec)

N/A 0.277 0.220 0.109 0.000 0.260 0.123 0.263 14.343

Problem 2289

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 32 27 31 26 29 26 26

N.S.

1 0.00 1.03 0.87 1.00 0.84 0.94 0.84 0.84

time (sec)

N/A 0.000 0.103 0.921 0.359 0.255 0.242 0.407 14.531

Problem 2290

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 30 30 27 30 30 29 30 30

N.S.

1 1.36 1.36 1.23 1.36 1.36 1.32 1.36 1.36

time (sec)

N/A 0.171 0.000 0.038 0.178 0.235 0.022 0.277 0.043

Problem 2291

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 9 11 12 14 14 14 14 14

N.S.

1 0.75 0.92 1.00 1.17 1.17 1.17 1.17 1.17

time (sec)

N/A 0.131 0.000 0.031 0.182 0.239 0.015 0.273 0.003

Problem 2292

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 25 23 20 24 19 17 21 21

N.S.

1 1.09 1.00 0.87 1.04 0.83 0.74 0.91 0.91

time (sec)

N/A 0.480 0.281 0.573 0.306 0.275 0.074 0.266 14.715

Problem 2293

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 25 39 35 34 45 27

N.S.

1 0.00 1.00 0.96 1.50 1.35 1.31 1.73 1.04

time (sec)

N/A 0.000 0.512 1.733 0.264 0.274 0.188 0.330 14.696

Problem 2294

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

19 0 19 21 79 76 90 74 58

N.S.

1 0.00 1.00 1.11 4.16 4.00 4.74 3.89 3.05

time (sec)

N/A 0.000 0.794 0.292 0.346 0.256 0.158 0.267 14.014

Problem 2295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 34 19 18 18 18 15 51 29

N.S.

1 1.42 0.79 0.75 0.75 0.75 0.62 2.12 1.21

time (sec)

N/A 0.187 0.078 0.076 0.250 0.254 1.880 0.271 14.007

Problem 2296

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 13 11 10 9 12 7 9 9

N.S.

1 0.81 0.69 0.62 0.56 0.75 0.44 0.56 0.56

time (sec)

N/A 0.140 0.001 0.021 0.185 0.234 0.028 0.265 0.025

Problem 2297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 93 48 46 2490 45 0 0 1132

N.S.

1 3.21 1.66 1.59 85.86 1.55 0.00 0.00 39.03

time (sec)

N/A 10.629 0.474 58.472 0.466 0.256 0.000 0.000 14.234

Problem 2298

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

16 0 16 17 48 48 48 101 0

N.S.

1 0.00 1.00 1.06 3.00 3.00 3.00 6.31 0.00

time (sec)

N/A 0.000 0.160 0.640 0.241 0.240 0.090 0.285 0.000

Problem 2299

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 15 16 26 26 14 15 33

N.S.

1 0.00 0.71 0.76 1.24 1.24 0.67 0.71 1.57

time (sec)

N/A 0.000 0.162 0.510 0.224 0.250 0.066 0.274 13.388

Problem 2300

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

13 0 13 12 11 11 8 11 11

N.S.

1 0.00 1.00 0.92 0.85 0.85 0.62 0.85 0.85

time (sec)

N/A 0.000 0.155 0.070 0.227 0.266 0.087 0.286 13.124