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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

388 416 628 974 0 3865 0 845 1486

N.S.

1 1.07 1.62 2.51 0.00 9.96 0.00 2.18 3.83

time (sec)

N/A 0.986 0.561 17.477 0.000 0.374 0.000 0.287 12.178

Problem 2202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

169 180 413 667 0 2631 1355 649 798

N.S.

1 1.07 2.44 3.95 0.00 15.57 8.02 3.84 4.72

time (sec)

N/A 0.326 0.321 17.509 0.000 0.330 64.941 0.272 10.352

Problem 2203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 162 308 485 0 2084 1180 457 636

N.S.

1 1.03 1.95 3.07 0.00 13.19 7.47 2.89 4.03

time (sec)

N/A 0.296 0.236 13.193 0.000 0.316 4.483 0.263 10.186

Problem 2204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

198 210 203 351 0 1555 1052 309 517

N.S.

1 1.06 1.03 1.77 0.00 7.85 5.31 1.56 2.61

time (sec)

N/A 0.397 0.168 13.078 0.000 0.311 1.833 0.272 10.069

Problem 2205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 135 128 137 0 1116 651 199 353

N.S.

1 1.03 0.98 1.05 0.00 8.52 4.97 1.52 2.69

time (sec)

N/A 0.270 0.078 16.894 0.000 0.278 1.001 0.273 0.296

Problem 2206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 112 97 116 0 785 474 136 285

N.S.

1 1.11 0.96 1.15 0.00 7.77 4.69 1.35 2.82

time (sec)

N/A 0.245 0.067 13.484 0.000 0.304 0.585 0.267 9.840

Problem 2207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

429 510 429 1102 0 7575 0 1461 3292

N.S.

1 1.19 1.00 2.57 0.00 17.66 0.00 3.41 7.67

time (sec)

N/A 1.061 0.636 13.821 0.000 209.032 0.000 0.288 19.546

Problem 2208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

239 280 221 404 0 2280 0 309 1255

N.S.

1 1.17 0.92 1.69 0.00 9.54 0.00 1.29 5.25

time (sec)

N/A 0.553 0.248 17.111 0.000 0.712 0.000 0.276 11.172

Problem 2209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

306 334 269 462 0 2669 0 410 1404

N.S.

1 1.09 0.88 1.51 0.00 8.72 0.00 1.34 4.59

time (sec)

N/A 0.647 0.292 12.942 0.000 2.210 0.000 0.264 11.293

Problem 2210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

349 387 435 730 0 3314 2769 467 1159

N.S.

1 1.11 1.25 2.09 0.00 9.50 7.93 1.34 3.32

time (sec)

N/A 0.792 0.372 16.958 0.000 0.472 19.679 0.291 10.940

Problem 2211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

291 338 386 681 0 2884 2565 418 1055

N.S.

1 1.16 1.33 2.34 0.00 9.91 8.81 1.44 3.63

time (sec)

N/A 0.683 0.317 16.880 0.000 0.795 11.191 0.300 11.186

Problem 2212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 169 314 531 0 1675 938 386 656

N.S.

1 1.16 2.15 3.64 0.00 11.47 6.42 2.64 4.49

time (sec)

N/A 0.312 0.123 13.189 0.000 0.301 1.835 0.270 9.993

Problem 2213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 168 266 486 0 1594 898 326 563

N.S.

1 1.16 1.83 3.35 0.00 10.99 6.19 2.25 3.88

time (sec)

N/A 0.313 0.158 17.186 0.000 0.298 1.400 0.274 9.929

Problem 2214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

259 258 572 1205 0 4631 0 1167 1463

N.S.

1 1.00 2.21 4.65 0.00 17.88 0.00 4.51 5.65

time (sec)

N/A 0.497 0.557 17.285 0.000 0.345 0.000 0.272 10.888

Problem 2215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

306 332 401 885 0 3608 2057 848 1126

N.S.

1 1.08 1.31 2.89 0.00 11.79 6.72 2.77 3.68

time (sec)

N/A 0.584 0.416 17.249 0.000 0.342 11.895 0.273 10.613

Problem 2216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

260 259 258 649 0 2761 1635 607 872

N.S.

1 1.00 0.99 2.50 0.00 10.62 6.29 2.33 3.35

time (sec)

N/A 0.454 0.318 17.355 0.000 0.415 3.346 0.272 10.410

Problem 2217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

173 181 168 185 0 1960 1062 365 633

N.S.

1 1.05 0.97 1.07 0.00 11.33 6.14 2.11 3.66

time (sec)

N/A 0.323 0.123 17.147 0.000 0.340 1.635 0.296 10.114

Problem 2218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 160 134 164 0 1337 777 220 0

N.S.

1 1.18 0.99 1.21 0.00 9.83 5.71 1.62 0.00

time (sec)

N/A 0.288 0.099 17.285 0.000 0.402 0.955 0.266 0.000

Problem 2219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

771 887 769 2811 0 0 0 3418 13834

N.S.

1 1.15 1.00 3.65 0.00 0.00 0.00 4.43 17.94

time (sec)

N/A 3.100 1.736 18.533 0.000 0.000 0.000 0.317 44.925

Problem 2220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

352 410 329 712 0 3934 0 496 1856

N.S.

1 1.16 0.93 2.02 0.00 11.18 0.00 1.41 5.27

time (sec)

N/A 0.784 0.459 17.211 0.000 1.785 0.000 0.276 11.796

Problem 2221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

388 391 985 2344 0 8858 0 2431 2722

N.S.

1 1.01 2.54 6.04 0.00 22.83 0.00 6.27 7.02

time (sec)

N/A 0.710 1.468 17.484 0.000 0.539 0.000 0.297 12.198

Problem 2222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

545 587 713 1832 0 7259 0 1900 2337

N.S.

1 1.08 1.31 3.36 0.00 13.32 0.00 3.49 4.29

time (sec)

N/A 0.946 1.070 17.166 0.000 0.460 0.000 0.287 11.711

Problem 2223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

378 381 467 1365 0 5818 2994 1431 1711

N.S.

1 1.01 1.24 3.61 0.00 15.39 7.92 3.79 4.53

time (sec)

N/A 0.662 0.774 17.139 0.000 0.379 54.780 0.279 11.396

Problem 2224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

330 309 326 1017 0 4491 2407 1013 1348

N.S.

1 0.94 0.99 3.08 0.00 13.61 7.29 3.07 4.08

time (sec)

N/A 0.506 0.539 20.809 0.000 0.372 6.742 0.282 11.047

Problem 2225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

219 229 209 233 0 3202 1564 591 992

N.S.

1 1.05 0.95 1.06 0.00 14.62 7.14 2.70 4.53

time (sec)

N/A 0.360 0.177 13.013 0.000 0.409 2.845 0.281 0.839

Problem 2226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

171 208 167 212 0 2217 1153 336 0

N.S.

1 1.22 0.98 1.24 0.00 12.96 6.74 1.96 0.00

time (sec)

N/A 0.337 0.105 17.322 0.000 0.392 1.535 0.266 0.000

Problem 2227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1324 1470 1289 5748 0 0 0 6749 59814

N.S.

1 1.11 0.97 4.34 0.00 0.00 0.00 5.10 45.18

time (sec)

N/A 6.086 4.429 22.754 0.000 0.000 0.000 0.337 34.810

Problem 2228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1761 1894 2147 6980 0 0 0 8577 78821

N.S.

1 1.08 1.22 3.96 0.00 0.00 0.00 4.87 44.76

time (sec)

N/A 6.747 6.586 18.928 0.000 0.000 0.000 1.001 36.661

Problem 2229

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

89 99 78 68 77 136 90 68 82

N.S.

1 1.11 0.88 0.76 0.87 1.53 1.01 0.76 0.92

time (sec)

N/A 0.286 0.067 23.851 0.297 0.348 0.117 0.263 0.132

Problem 2230

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

114 124 98 77 87 161 102 108 93

N.S.

1 1.09 0.86 0.68 0.76 1.41 0.89 0.95 0.82

time (sec)

N/A 0.301 0.049 21.201 0.292 0.341 0.131 0.270 0.123

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

110 125 88 78 97 186 110 78 102

N.S.

1 1.14 0.80 0.71 0.88 1.69 1.00 0.71 0.93

time (sec)

N/A 0.326 0.076 17.249 0.283 0.389 0.141 0.263 0.114

Problem 2232

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

142 157 119 87 107 211 122 126 113

N.S.

1 1.11 0.84 0.61 0.75 1.49 0.86 0.89 0.80

time (sec)

N/A 0.353 0.066 17.404 0.286 0.410 0.152 0.275 0.112

Problem 2233

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

47 47 47 29 35 54 44 44 34

N.S.

1 1.00 1.00 0.62 0.74 1.15 0.94 0.94 0.72

time (sec)

N/A 0.236 0.033 21.302 0.280 0.323 0.049 0.270 0.139

Problem 2234

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

41 46 41 31 32 32 41 33 46

N.S.

1 1.12 1.00 0.76 0.78 0.78 1.00 0.80 1.12

time (sec)

N/A 0.204 0.022 22.552 0.269 0.278 0.061 0.270 0.094

Problem 2235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 122 108 204 0 162 177 202 178

N.S.

1 1.07 0.95 1.79 0.00 1.42 1.55 1.77 1.56

time (sec)

N/A 0.456 0.088 22.882 0.000 0.281 0.463 0.296 10.132

Problem 2236

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

40 42 40 27 30 30 34 32 26

N.S.

1 1.05 1.00 0.68 0.75 0.75 0.85 0.80 0.65

time (sec)

N/A 0.182 0.004 21.536 0.218 0.266 0.047 0.268 0.045

Problem 2237

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

33 35 33 22 25 25 27 27 21

N.S.

1 1.06 1.00 0.67 0.76 0.76 0.82 0.82 0.64

time (sec)

N/A 0.178 0.004 21.915 0.259 0.294 0.050 0.260 0.046

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

26 28 26 17 20 20 20 22 16

N.S.

1 1.08 1.00 0.65 0.77 0.77 0.77 0.85 0.62

time (sec)

N/A 0.175 0.003 21.642 0.238 0.270 0.049 0.268 9.944

Problem 2239

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 23 21 14 17 17 17 19 13

N.S.

1 1.10 1.00 0.67 0.81 0.81 0.81 0.90 0.62

time (sec)

N/A 0.169 0.004 20.746 0.281 0.265 0.039 0.261 0.071

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

21 23 21 14 17 17 15 19 8

N.S.

1 1.10 1.00 0.67 0.81 0.81 0.71 0.90 0.38

time (sec)

N/A 0.162 0.002 25.132 0.256 0.267 0.044 0.263 0.088

Problem 2241

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 29 27 18 21 21 24 24 17

N.S.

1 1.07 1.00 0.67 0.78 0.78 0.89 0.89 0.63

time (sec)

N/A 0.180 0.004 25.115 0.266 0.270 0.059 0.258 9.970

Problem 2242

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

34 36 34 27 26 30 31 29 22

N.S.

1 1.06 1.00 0.79 0.76 0.88 0.91 0.85 0.65

time (sec)

N/A 0.179 0.004 25.401 0.199 0.339 0.074 0.272 9.887

Problem 2243

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

41 43 41 31 31 39 36 34 26

N.S.

1 1.05 1.00 0.76 0.76 0.95 0.88 0.83 0.63

time (sec)

N/A 0.184 0.006 25.466 0.199 0.368 0.078 0.255 0.036

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

48 50 48 36 36 44 41 39 32

N.S.

1 1.04 1.00 0.75 0.75 0.92 0.85 0.81 0.67

time (sec)

N/A 0.190 0.004 29.487 0.192 0.356 0.078 0.261 0.041

Problem 2245

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

40 42 40 27 30 30 34 32 26

N.S.

1 1.05 1.00 0.68 0.75 0.75 0.85 0.80 0.65

time (sec)

N/A 0.188 0.003 0.130 0.195 0.355 0.052 0.289 0.027

Problem 2246

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

33 35 33 22 25 25 27 27 21

N.S.

1 1.06 1.00 0.67 0.76 0.76 0.82 0.82 0.64

time (sec)

N/A 0.175 0.003 0.130 0.209 0.412 0.053 0.281 0.029

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

26 28 26 17 20 20 20 22 16

N.S.

1 1.08 1.00 0.65 0.77 0.77 0.77 0.85 0.62

time (sec)

N/A 0.169 0.003 0.164 0.195 0.301 0.050 0.270 0.027

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

21 23 21 14 17 17 17 19 13

N.S.

1 1.10 1.00 0.67 0.81 0.81 0.81 0.90 0.62

time (sec)

N/A 0.166 0.002 0.066 0.202 0.256 0.045 0.269 0.025

Problem 2249

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 23 21 14 17 17 15 19 8

N.S.

1 1.10 1.00 0.67 0.81 0.81 0.71 0.90 0.38

time (sec)

N/A 0.170 0.002 0.089 0.195 0.277 0.041 0.263 0.017

Problem 2250

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 29 27 18 21 21 24 24 17

N.S.

1 1.07 1.00 0.67 0.78 0.78 0.89 0.89 0.63

time (sec)

N/A 0.182 0.003 0.072 0.210 0.290 0.060 0.261 0.028

Problem 2251

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

34 36 34 27 26 30 31 29 22

N.S.

1 1.06 1.00 0.79 0.76 0.88 0.91 0.85 0.65

time (sec)

N/A 0.174 0.003 0.047 0.195 0.315 0.072 0.271 0.037

Problem 2252

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

41 43 41 31 31 39 36 34 26

N.S.

1 1.05 1.00 0.76 0.76 0.95 0.88 0.83 0.63

time (sec)

N/A 0.179 0.003 0.021 0.191 0.276 0.073 0.273 0.038

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

48 50 48 36 36 44 41 39 32

N.S.

1 1.04 1.00 0.75 0.75 0.92 0.85 0.81 0.67

time (sec)

N/A 0.185 0.003 0.021 0.211 0.280 0.077 0.259 0.038

Problem 2254

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 12 12 13 12 16 8 13 12

N.S.

1 1.00 1.00 1.08 1.00 1.33 0.67 1.08 1.00

time (sec)

N/A 0.156 0.005 0.167 0.196 0.266 0.026 0.255 0.039

Problem 2255

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 28 26 21 20 20 20 20 20

N.S.

1 1.08 1.00 0.81 0.77 0.77 0.77 0.77 0.77

time (sec)

N/A 0.177 0.003 0.309 0.285 0.254 0.041 0.278 0.036

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

17 17 17 14 13 13 12 15 13

N.S.

1 1.00 1.00 0.82 0.76 0.76 0.71 0.88 0.76

time (sec)

N/A 0.163 0.003 0.168 0.200 0.268 0.038 0.265 0.053

Problem 2257

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 26 28 24 22 28 20 22 24

N.S.

1 1.00 1.08 0.92 0.85 1.08 0.77 0.85 0.92

time (sec)

N/A 0.164 0.010 0.243 0.288 0.323 0.045 0.273 0.036

Problem 2258

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

54 59 49 42 54 71 63 42 56

N.S.

1 1.09 0.91 0.78 1.00 1.31 1.17 0.78 1.04

time (sec)

N/A 0.191 0.018 0.379 0.302 0.370 0.056 0.268 0.054

Problem 2259

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

32 32 32 28 27 27 36 27 29

N.S.

1 1.00 1.00 0.88 0.84 0.84 1.12 0.84 0.91

time (sec)

N/A 0.177 0.006 0.269 0.278 0.350 0.045 0.282 0.034

Problem 2260

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 18 18 15 14 14 12 16 14

N.S.

1 1.00 1.00 0.83 0.78 0.78 0.67 0.89 0.78

time (sec)

N/A 0.164 0.004 0.187 0.191 0.321 0.046 0.267 9.757

Problem 2261

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 15 14 14 17 16 14

N.S.

1 1.00 1.00 0.75 0.70 0.70 0.85 0.80 0.70

time (sec)

N/A 0.163 0.003 0.188 0.190 0.642 0.045 0.264 0.046

Problem 2262

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 23 15 16 15 26 14 15 15

N.S.

1 1.53 1.00 1.07 1.00 1.73 0.93 1.00 1.00

time (sec)

N/A 0.162 0.006 0.207 0.275 0.261 0.039 0.270 0.030

Problem 2263

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 27 27 22 21 21 19 23 21

N.S.

1 1.00 1.00 0.81 0.78 0.78 0.70 0.85 0.78

time (sec)

N/A 0.170 0.003 0.184 0.196 0.263 0.045 0.276 0.030

Problem 2264

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 22 26 21 20 29 19 21 20

N.S.

1 1.00 1.18 0.95 0.91 1.32 0.86 0.95 0.91

time (sec)

N/A 0.165 0.009 0.177 0.191 0.252 0.026 0.264 0.036

Problem 2265

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 26 25 23 22 29 19 23 22

N.S.

1 1.00 0.96 0.88 0.85 1.12 0.73 0.88 0.85

time (sec)

N/A 0.169 0.008 0.186 0.191 0.266 0.029 0.279 0.037

Problem 2266

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 29 30 28 27 34 24 28 27

N.S.

1 1.00 1.03 0.97 0.93 1.17 0.83 0.97 0.93

time (sec)

N/A 0.169 0.007 0.182 0.191 0.253 0.026 0.283 0.024

Problem 2267

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

33 33 33 29 28 28 37 29 28

N.S.

1 1.00 1.00 0.88 0.85 0.85 1.12 0.88 0.85

time (sec)

N/A 0.190 0.007 0.207 0.277 0.285 0.066 0.264 0.063

Problem 2268

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 55 46 59 149 326 538 58

N.S.

1 1.00 0.73 0.61 0.79 1.99 4.35 7.17 0.77

time (sec)

N/A 0.213 0.053 0.207 0.192 0.262 0.408 0.291 0.075

Problem 2269

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

75 75 55 46 59 117 94 345 58

N.S.

1 1.00 0.73 0.61 0.79 1.56 1.25 4.60 0.77

time (sec)

N/A 0.209 0.046 0.173 0.191 0.264 0.682 0.280 9.781

Problem 2270

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

75 75 55 46 59 84 94 190 58

N.S.

1 1.00 0.73 0.61 0.79 1.12 1.25 2.53 0.77

time (sec)

N/A 0.211 0.043 0.154 0.195 0.266 0.689 0.265 0.055

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

73 73 54 46 77 54 102 77 58

N.S.

1 1.00 0.74 0.63 1.05 0.74 1.40 1.05 0.79

time (sec)

N/A 0.207 0.045 0.174 0.185 0.359 0.461 0.281 9.787

Problem 2272

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

71 71 54 47 66 63 94 74 58

N.S.

1 1.00 0.76 0.66 0.93 0.89 1.32 1.04 0.82

time (sec)

N/A 0.208 0.048 0.185 0.193 0.322 1.099 0.300 9.769

Problem 2273

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

71 71 55 46 63 75 252 61 58

N.S.

1 1.00 0.77 0.65 0.89 1.06 3.55 0.86 0.82

time (sec)

N/A 0.200 0.047 0.194 0.196 0.332 0.340 0.275 9.766

Problem 2274

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

73 73 54 48 56 85 376 58 52

N.S.

1 1.00 0.74 0.66 0.77 1.16 5.15 0.79 0.71

time (sec)

N/A 0.200 0.048 0.177 0.198 0.300 0.469 0.272 0.064

Problem 2275

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

166 166 173 136 176 365 277 1411 148

N.S.

1 1.00 1.04 0.82 1.06 2.20 1.67 8.50 0.89

time (sec)

N/A 0.322 0.125 0.254 0.202 0.327 1.081 0.292 9.785

Problem 2276

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

166 166 174 136 176 302 277 943 148

N.S.

1 1.00 1.05 0.82 1.06 1.82 1.67 5.68 0.89

time (sec)

N/A 0.296 0.123 0.221 0.189 0.479 0.968 0.278 9.783

Problem 2277

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

166 166 172 136 176 237 277 547 148

N.S.

1 1.00 1.04 0.82 1.06 1.43 1.67 3.30 0.89

time (sec)

N/A 0.289 0.107 0.211 0.198 0.266 0.901 0.278 0.047

Problem 2278

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

164 164 172 135 237 176 275 236 148

N.S.

1 1.00 1.05 0.82 1.45 1.07 1.68 1.44 0.90

time (sec)

N/A 0.288 0.105 0.251 0.229 0.266 0.817 0.283 0.041

Problem 2279

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

162 162 171 147 184 185 235 257 184

N.S.

1 1.00 1.06 0.91 1.14 1.14 1.45 1.59 1.14

time (sec)

N/A 0.303 0.125 0.275 0.197 0.255 4.617 0.281 0.049

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

162 162 170 129 182 197 211 245 195

N.S.

1 1.00 1.05 0.80 1.12 1.22 1.30 1.51 1.20

time (sec)

N/A 0.296 0.126 0.270 0.192 0.262 4.638 0.289 9.813

Problem 2281

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

162 162 172 144 185 206 1180 239 193

N.S.

1 1.00 1.06 0.89 1.14 1.27 7.28 1.48 1.19

time (sec)

N/A 0.294 0.133 0.468 0.199 0.258 0.556 0.286 9.833

Problem 2282

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

286 286 397 318 407 727 632 2883 297

N.S.

1 1.00 1.39 1.11 1.42 2.54 2.21 10.08 1.04

time (sec)

N/A 0.490 0.306 0.306 0.191 0.270 1.441 0.299 9.811

Problem 2283

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

286 286 396 319 407 619 632 1970 297

N.S.

1 1.00 1.38 1.12 1.42 2.16 2.21 6.89 1.04

time (sec)

N/A 0.430 0.339 0.287 0.192 0.280 1.286 0.282 0.067

Problem 2284

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

286 286 396 324 407 512 632 1177 297

N.S.

1 1.00 1.38 1.13 1.42 1.79 2.21 4.12 1.04

time (sec)

N/A 0.422 0.279 0.279 0.189 0.261 1.179 0.280 0.069

Problem 2285

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

282 282 396 326 525 408 631 526 297

N.S.

1 1.00 1.40 1.16 1.86 1.45 2.24 1.87 1.05

time (sec)

N/A 0.422 0.220 0.289 0.197 0.278 1.153 0.275 9.783

Problem 2286

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

280 280 394 324 415 417 530 639 386

N.S.

1 1.00 1.41 1.16 1.48 1.49 1.89 2.28 1.38

time (sec)

N/A 0.424 0.261 0.302 0.201 0.361 21.542 0.293 0.073

Problem 2287

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

282 282 395 329 413 429 449 617 448

N.S.

1 1.00 1.40 1.17 1.46 1.52 1.59 2.19 1.59

time (sec)

N/A 0.414 0.301 0.332 0.199 0.371 21.807 0.288 0.076

Problem 2288

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

278 278 391 333 413 440 403 611 445

N.S.

1 1.00 1.41 1.20 1.49 1.58 1.45 2.20 1.60

time (sec)

N/A 0.421 0.288 0.313 0.206 0.401 22.515 0.276 9.836

Problem 2289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

459 387 504 472 0 6701 0 1030 16475

N.S.

1 0.84 1.10 1.03 0.00 14.60 0.00 2.24 35.89

time (sec)

N/A 1.026 1.773 0.694 0.000 3.240 0.000 0.363 12.595

Problem 2290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

322 300 364 344 0 2770 0 797 8334

N.S.

1 0.93 1.13 1.07 0.00 8.60 0.00 2.48 25.88

time (sec)

N/A 0.597 1.136 0.384 0.000 0.479 0.000 0.361 11.631

Problem 2291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

198 233 252 222 0 715 0 445 709

N.S.

1 1.18 1.27 1.12 0.00 3.61 0.00 2.25 3.58

time (sec)

N/A 0.366 0.624 0.373 0.000 0.314 0.000 0.305 10.115

Problem 2292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

199 207 198 194 0 2641 0 414 4449

N.S.

1 1.04 0.99 0.97 0.00 13.27 0.00 2.08 22.36

time (sec)

N/A 0.296 0.620 0.329 0.000 0.311 0.000 0.293 10.819

Problem 2293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

310 290 305 297 0 11293 0 1488 23975

N.S.

1 0.94 0.98 0.96 0.00 36.43 0.00 4.80 77.34

time (sec)

N/A 0.550 0.880 0.380 0.000 0.728 0.000 0.353 14.599

Problem 2294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

414 426 367 419 0 25912 0 3302 58096

N.S.

1 1.03 0.89 1.01 0.00 62.59 0.00 7.98 140.33

time (sec)

N/A 0.808 1.530 0.431 0.000 4.978 0.000 0.605 17.982

Problem 2295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

691 597 771 644 0 10077 0 1785 32541

N.S.

1 0.86 1.12 0.93 0.00 14.58 0.00 2.58 47.09

time (sec)

N/A 1.430 10.009 1.034 0.000 14.686 0.000 0.888 12.747

Problem 2296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

504 440 796 542 0 5256 0 1398 21160

N.S.

1 0.87 1.58 1.08 0.00 10.43 0.00 2.77 41.98

time (sec)

N/A 0.972 7.092 0.714 0.000 1.212 0.000 0.803 13.515

Problem 2297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

363 350 410 454 0 2396 0 1193 5326

N.S.

1 0.96 1.13 1.25 0.00 6.60 0.00 3.29 14.67

time (sec)

N/A 0.667 3.387 0.537 0.000 0.455 0.000 0.544 6.247

Problem 2298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

287 283 314 419 0 6393 0 1005 5740

N.S.

1 0.99 1.09 1.46 0.00 22.28 0.00 3.50 20.00

time (sec)

N/A 0.534 1.602 0.490 0.000 0.450 0.000 0.531 16.598

Problem 2299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

428 430 439 532 0 20436 0 2866 45676

N.S.

1 1.00 1.03 1.24 0.00 47.75 0.00 6.70 106.72

time (sec)

N/A 0.810 2.907 0.615 0.000 4.033 0.000 0.597 16.228

Problem 2300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

604 577 601 653 0 40675 0 5642 126405

N.S.

1 0.96 1.00 1.08 0.00 67.34 0.00 9.34 209.28

time (sec)

N/A 1.341 7.444 1.045 0.000 35.758 0.000 1.386 28.916

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