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Integrals 201 to 300

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 201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

407 407 257 477 561 445 0 2434 0

N.S.

1 1.00 0.63 1.17 1.38 1.09 0.00 5.98 0.00

time (sec)

N/A 0.783 0.307 34.412 0.377 0.285 0.000 2.667 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 112 104 150 0 244 0 0 0

N.S.

1 1.00 0.93 1.34 0.00 2.18 0.00 0.00 0.00

time (sec)

N/A 0.209 0.796 3.778 0.000 0.275 0.000 0.000 0.000

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 83 72 112 0 162 0 0 0

N.S.

1 1.00 0.87 1.35 0.00 1.95 0.00 0.00 0.00

time (sec)

N/A 0.194 0.138 2.604 0.000 0.259 0.000 0.000 0.000

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 33 33 60 0 45 0 206 56

N.S.

1 1.00 1.00 1.82 0.00 1.36 0.00 6.24 1.70

time (sec)

N/A 0.065 0.042 2.530 0.000 0.255 0.000 0.304 24.447

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

180 180 159 240 3740 508 0 0 0

N.S.

1 1.00 0.88 1.33 20.78 2.82 0.00 0.00 0.00

time (sec)

N/A 0.453 0.473 4.583 0.638 0.281 0.000 0.000 0.000

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 106 111 170 2842 370 0 0 0

N.S.

1 1.00 1.05 1.60 26.81 3.49 0.00 0.00 0.00

time (sec)

N/A 0.322 0.418 4.300 0.500 0.296 0.000 0.000 0.000

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

73 73 62 109 1718 203 0 0 0

N.S.

1 1.00 0.85 1.49 23.53 2.78 0.00 0.00 0.00

time (sec)

N/A 0.199 0.191 4.210 0.363 0.274 0.000 0.000 0.000

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

14 14 16 20 22 22 20 22 24

N.S.

1 1.00 1.14 1.43 1.57 1.57 1.43 1.57 1.71

time (sec)

N/A 0.023 3.724 0.340 0.341 0.264 30.374 0.288 24.671

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 158 157 625 803 1410 0 0 0

N.S.

1 1.00 0.99 3.96 5.08 8.92 0.00 0.00 0.00

time (sec)

N/A 0.255 0.156 1.240 0.413 0.311 0.000 0.000 0.000

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

132 132 126 432 497 974 0 0 0

N.S.

1 1.00 0.95 3.27 3.77 7.38 0.00 0.00 0.00

time (sec)

N/A 0.206 0.151 1.215 0.382 0.295 0.000 0.000 0.000

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 96 100 266 284 594 0 0 0

N.S.

1 1.00 1.04 2.77 2.96 6.19 0.00 0.00 0.00

time (sec)

N/A 0.192 0.089 1.186 0.388 0.303 0.000 0.000 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 70 123 115 310 0 0 148

N.S.

1 1.00 1.06 1.86 1.74 4.70 0.00 0.00 2.24

time (sec)

N/A 0.105 0.180 1.026 0.370 0.263 0.000 0.000 25.461

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

14 14 16 20 22 22 19 22 24

N.S.

1 1.00 1.14 1.43 1.57 1.57 1.36 1.57 1.71

time (sec)

N/A 0.029 5.281 0.536 0.428 0.246 0.594 0.295 25.425

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

14 14 16 20 22 33 20 22 24

N.S.

1 1.00 1.14 1.43 1.57 2.36 1.43 1.57 1.71

time (sec)

N/A 0.027 3.484 0.534 0.549 0.240 0.964 2.223 26.122

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 22 24 27 22 24 26

N.S.

1 1.00 1.10 1.10 1.20 1.35 1.10 1.20 1.30

time (sec)

N/A 0.167 11.880 0.552 0.680 0.246 121.927 0.299 25.232

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

275 275 557 901 934 1075 0 0 0

N.S.

1 1.00 2.03 3.28 3.40 3.91 0.00 0.00 0.00

time (sec)

N/A 0.260 1.573 2.507 0.517 0.306 0.000 0.000 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 186 315 512 516 656 0 0 0

N.S.

1 1.00 1.69 2.75 2.77 3.53 0.00 0.00 0.00

time (sec)

N/A 0.177 0.926 2.193 0.394 0.288 0.000 0.000 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

103 103 213 180 0 331 0 0 0

N.S.

1 1.00 2.07 1.75 0.00 3.21 0.00 0.00 0.00

time (sec)

N/A 0.088 0.498 1.386 0.000 0.278 0.000 0.000 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 22 210 27 20 24 26

N.S.

1 1.00 1.10 1.10 10.50 1.35 1.00 1.20 1.30

time (sec)

N/A 0.144 3.402 0.885 0.658 0.251 1.318 0.551 24.449

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 22 270 38 22 24 26

N.S.

1 1.00 1.10 1.10 13.50 1.90 1.10 1.20 1.30

time (sec)

N/A 0.177 7.189 0.904 0.867 0.243 2.020 3.020 24.921

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 24 33 0 24 26

N.S.

1 1.00 1.09 1.00 1.09 1.50 0.00 1.09 1.18

time (sec)

N/A 0.205 13.664 0.677 0.685 0.234 0.000 0.314 25.789

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

251 251 1731 650 692 1134 0 0 0

N.S.

1 1.00 6.90 2.59 2.76 4.52 0.00 0.00 0.00

time (sec)

N/A 0.329 6.528 3.112 0.438 0.321 0.000 0.000 0.000

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 184 518 388 383 688 0 0 0

N.S.

1 1.00 2.82 2.11 2.08 3.74 0.00 0.00 0.00

time (sec)

N/A 0.263 6.579 2.634 0.428 0.287 0.000 0.000 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 134 179 146 346 0 0 0

N.S.

1 1.00 1.17 1.56 1.27 3.01 0.00 0.00 0.00

time (sec)

N/A 0.150 0.713 2.572 0.336 0.280 0.000 0.000 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 182 33 0 24 26

N.S.

1 1.00 1.09 1.00 8.27 1.50 0.00 1.09 1.18

time (sec)

N/A 0.171 0.886 1.004 0.486 0.241 0.000 0.325 25.531

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 242 44 0 24 26

N.S.

1 1.00 1.09 1.00 11.00 2.00 0.00 1.09 1.18

time (sec)

N/A 0.200 2.961 1.030 0.772 0.245 0.000 2.803 25.569

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 22 22 20 22 26

N.S.

1 1.00 1.10 1.00 1.10 1.10 1.00 1.10 1.30

time (sec)

N/A 0.232 10.153 0.307 0.394 0.233 33.987 0.310 25.956

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

247 247 578 1242 1794 0 0 0 0

N.S.

1 1.00 2.34 5.03 7.26 0.00 0.00 0.00 0.00

time (sec)

N/A 0.265 1.231 1.332 0.521 0.000 0.000 0.000 0.000

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

197 197 350 816 1078 1786 0 0 0

N.S.

1 1.00 1.78 4.14 5.47 9.07 0.00 0.00 0.00

time (sec)

N/A 0.213 1.079 1.303 0.506 0.379 0.000 0.000 0.000

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

127 127 213 469 599 1098 0 0 0

N.S.

1 1.00 1.68 3.69 4.72 8.65 0.00 0.00 0.00

time (sec)

N/A 0.148 0.744 1.208 0.422 0.323 0.000 0.000 0.000

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 141 208 269 554 0 0 0

N.S.

1 1.00 1.99 2.93 3.79 7.80 0.00 0.00 0.00

time (sec)

N/A 0.066 0.210 1.010 0.411 0.318 0.000 0.000 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 22 22 19 22 26

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.95 1.10 1.30

time (sec)

N/A 0.053 5.046 0.720 0.545 0.243 0.614 0.396 25.325

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 22 33 20 22 26

N.S.

1 1.00 1.10 1.00 1.10 1.65 1.00 1.10 1.30

time (sec)

N/A 0.055 6.558 0.727 0.985 0.243 1.003 4.083 24.844

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 24 24 22 24 26

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.18

time (sec)

N/A 0.252 23.115 0.287 0.538 0.243 118.630 0.331 25.445

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

350 350 739 1158 3257 1753 0 0 0

N.S.

1 1.00 2.11 3.31 9.31 5.01 0.00 0.00 0.00

time (sec)

N/A 0.766 6.389 1.922 0.992 0.359 0.000 0.000 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

226 226 593 556 1638 1067 0 0 0

N.S.

1 1.00 2.62 2.46 7.25 4.72 0.00 0.00 0.00

time (sec)

N/A 0.444 6.277 1.608 0.502 0.318 0.000 0.000 0.000

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

131 131 517 235 0 434 0 0 0

N.S.

1 1.00 3.95 1.79 0.00 3.31 0.00 0.00 0.00

time (sec)

N/A 0.149 3.826 1.200 0.000 0.294 0.000 0.000 0.000

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 677 24 20 24 26

N.S.

1 1.00 1.09 1.00 30.77 1.09 0.91 1.09 1.18

time (sec)

N/A 0.201 22.399 0.609 0.797 0.257 1.114 5.153 24.817

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 1008 35 22 3 26

N.S.

1 1.00 1.09 1.00 45.82 1.59 1.00 0.14 1.18

time (sec)

N/A 0.201 21.434 0.634 1.570 0.245 2.029 4.246 25.028

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 24 24 0 24 26

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.18

time (sec)

N/A 0.294 26.593 0.316 0.535 0.241 0.000 0.327 24.774

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

325 325 1526 1223 5165 3475 0 0 0

N.S.

1 1.00 4.70 3.76 15.89 10.69 0.00 0.00 0.00

time (sec)

N/A 0.922 6.997 1.829 1.623 0.420 0.000 0.000 0.000

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

201 201 880 632 2528 1995 0 0 0

N.S.

1 1.00 4.38 3.14 12.58 9.93 0.00 0.00 0.00

time (sec)

N/A 0.483 6.925 1.500 0.608 0.363 0.000 0.000 0.000

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 141 224 270 1028 942 0 0 0

N.S.

1 1.00 1.59 1.91 7.29 6.68 0.00 0.00 0.00

time (sec)

N/A 0.146 1.715 1.065 0.460 0.311 0.000 0.000 0.000

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 2040 24 20 24 26

N.S.

1 1.00 1.09 1.00 92.73 1.09 0.91 1.09 1.18

time (sec)

N/A 0.199 19.660 0.626 2.698 0.290 2.586 0.757 24.859

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 2702 35 22 0 26

N.S.

1 1.00 1.09 1.00 122.82 1.59 1.00 0.00 1.18

time (sec)

N/A 0.195 18.156 0.642 9.087 0.370 4.941 0.000 24.831

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 22 22 20 22 24

N.S.

1 1.00 1.10 1.00 1.10 1.10 1.00 1.10 1.20

time (sec)

N/A 0.179 3.089 0.293 0.639 0.247 3.972 0.342 23.762

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

227 227 428 767 2944 1190 0 0 0

N.S.

1 1.00 1.89 3.38 12.97 5.24 0.00 0.00 0.00

time (sec)

N/A 0.206 1.153 4.669 0.588 0.309 0.000 0.000 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 159 256 463 1770 783 0 0 0

N.S.

1 1.00 1.61 2.91 11.13 4.92 0.00 0.00 0.00

time (sec)

N/A 0.148 0.796 2.236 0.439 0.288 0.000 0.000 0.000

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 174 227 0 446 0 0 0

N.S.

1 1.00 1.79 2.34 0.00 4.60 0.00 0.00 0.00

time (sec)

N/A 0.078 1.842 1.230 0.000 0.291 0.000 0.000 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 93 67 259 60 0 1267 78

N.S.

1 1.00 3.21 2.31 8.93 2.07 0.00 43.69 2.69

time (sec)

N/A 0.021 0.132 0.615 0.330 0.253 0.000 0.610 27.600

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 349 22 19 22 24

N.S.

1 1.00 1.10 1.00 17.45 1.10 0.95 1.10 1.20

time (sec)

N/A 0.121 12.683 0.494 0.573 0.259 0.408 0.818 25.357

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 494 33 20 22 24

N.S.

1 1.00 1.10 1.00 24.70 1.65 1.00 1.10 1.20

time (sec)

N/A 0.136 19.628 0.538 0.851 0.252 0.630 9.173 25.429

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 16 18 18 15 18 18

N.S.

1 1.00 1.12 1.00 1.12 1.12 0.94 1.12 1.12

time (sec)

N/A 0.043 3.147 0.297 0.539 0.233 0.980 0.567 24.711

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

128 128 424 356 1363 373 0 0 0

N.S.

1 1.00 3.31 2.78 10.65 2.91 0.00 0.00 0.00

time (sec)

N/A 0.260 6.537 1.700 0.396 0.255 0.000 0.000 0.000

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 96 276 199 418 210 0 0 0

N.S.

1 1.00 2.88 2.07 4.35 2.19 0.00 0.00 0.00

time (sec)

N/A 0.166 6.397 1.582 0.386 0.242 0.000 0.000 0.000

Problem 256

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

40 40 76 52 237 53 65 203 52

N.S.

1 1.00 1.90 1.30 5.92 1.32 1.62 5.08 1.30

time (sec)

N/A 0.039 0.415 1.182 0.307 0.241 0.156 0.454 25.918

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 16 388 18 14 18 18

N.S.

1 1.00 1.12 1.00 24.25 1.12 0.88 1.12 1.12

time (sec)

N/A 0.050 5.082 0.672 0.483 0.233 0.360 0.580 25.445

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 16 523 29 15 18 18

N.S.

1 1.00 1.12 1.00 32.69 1.81 0.94 1.12 1.12

time (sec)

N/A 0.047 6.351 0.674 0.905 0.227 0.535 7.916 25.268

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 24 24 22 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.09

time (sec)

N/A 0.203 29.048 0.294 1.057 0.239 32.349 0.608 26.245

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

228 228 532 677 11010 896 0 0 0

N.S.

1 1.00 2.33 2.97 48.29 3.93 0.00 0.00 0.00

time (sec)

N/A 0.249 1.676 3.573 1.315 0.314 0.000 0.000 0.000

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

145 145 362 345 0 511 0 0 0

N.S.

1 1.00 2.50 2.38 0.00 3.52 0.00 0.00 0.00

time (sec)

N/A 0.171 3.482 2.273 0.000 0.280 0.000 0.000 0.000

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 56 107 123 2123 93 0 2330 151

N.S.

1 1.00 1.91 2.20 37.91 1.66 0.00 41.61 2.70

time (sec)

N/A 0.061 0.864 1.583 0.323 0.256 0.000 1.110 1.535

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 1268 24 20 24 24

N.S.

1 1.00 1.09 1.00 57.64 1.09 0.91 1.09 1.09

time (sec)

N/A 0.210 4.213 0.421 0.744 0.253 0.634 1.565 27.958

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 1412 35 22 24 24

N.S.

1 1.00 1.09 1.00 64.18 1.59 1.00 1.09 1.09

time (sec)

N/A 0.236 4.485 0.455 1.298 0.256 1.095 18.138 28.434

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 24 24 22 24 26

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.18

time (sec)

N/A 0.282 24.666 0.299 0.656 0.240 118.021 0.308 26.275

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

469 469 694 1866 5709 0 0 0 0

N.S.

1 1.00 1.48 3.98 12.17 0.00 0.00 0.00 0.00

time (sec)

N/A 0.894 3.668 2.047 1.766 0.000 0.000 0.000 0.000

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

343 343 473 1152 3202 1705 0 0 0

N.S.

1 1.00 1.38 3.36 9.34 4.97 0.00 0.00 0.00

time (sec)

N/A 0.658 1.429 1.861 0.853 0.365 0.000 0.000 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

219 219 317 568 1590 1035 0 0 0

N.S.

1 1.00 1.45 2.59 7.26 4.73 0.00 0.00 0.00

time (sec)

N/A 0.455 2.806 1.651 0.467 0.319 0.000 0.000 0.000

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 122 212 160 800 366 0 0 0

N.S.

1 1.08 1.88 1.42 7.08 3.24 0.00 0.00 0.00

time (sec)

N/A 0.143 1.124 1.162 0.435 0.273 0.000 0.000 0.000

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 603 24 20 24 26

N.S.

1 1.00 1.09 1.00 27.41 1.09 0.91 1.09 1.18

time (sec)

N/A 0.174 19.488 0.617 0.747 0.254 1.189 4.947 25.476

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 931 35 22 3 26

N.S.

1 1.00 1.09 1.00 42.32 1.59 1.00 0.14 1.18

time (sec)

N/A 0.181 19.832 0.594 1.353 0.262 1.971 4.099 26.026

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 26 26 0 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.00 1.08 1.08

time (sec)

N/A 0.285 3.211 0.289 0.481 0.243 0.000 0.338 25.709

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

118 118 285 687 2360 1635 0 0 0

N.S.

1 1.00 2.42 5.82 20.00 13.86 0.00 0.00 0.00

time (sec)

N/A 0.312 2.291 1.994 0.506 0.350 0.000 0.000 0.000

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 277 351 772 950 0 0 0

N.S.

1 1.00 3.15 3.99 8.77 10.80 0.00 0.00 0.00

time (sec)

N/A 0.210 1.876 1.898 0.410 0.317 0.000 0.000 0.000

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 32 72 308 75 0 10271 55

N.S.

1 1.00 0.91 2.06 8.80 2.14 0.00 293.46 1.57

time (sec)

N/A 0.063 0.536 1.524 0.319 0.257 0.000 2.843 27.600

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

24 24 26 24 687 26 22 26 26

N.S.

1 1.00 1.08 1.00 28.62 1.08 0.92 1.08 1.08

time (sec)

N/A 0.099 9.216 0.591 0.781 0.243 2.587 0.308 26.544

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

24 24 26 24 1024 37 24 26 26

N.S.

1 1.00 1.08 1.00 42.67 1.54 1.00 1.08 1.08

time (sec)

N/A 0.096 9.968 0.635 1.731 0.251 4.804 1.527 26.685

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 26 26 0 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.00 1.08 1.08

time (sec)

N/A 0.247 27.554 0.282 0.951 0.248 0.000 0.344 26.971

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

601 601 907 1613 8032 3173 0 0 0

N.S.

1 1.00 1.51 2.68 13.36 5.28 0.00 0.00 0.00

time (sec)

N/A 2.606 8.188 2.444 3.615 0.430 0.000 0.000 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

305 305 889 802 3814 1801 0 0 0

N.S.

1 1.00 2.91 2.63 12.50 5.90 0.00 0.00 0.00

time (sec)

N/A 0.956 7.929 2.014 0.987 0.342 0.000 0.000 0.000

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 174 520 267 1481 621 0 0 0

N.S.

1 1.13 3.38 1.73 9.62 4.03 0.00 0.00 0.00

time (sec)

N/A 0.207 6.158 1.428 0.579 0.284 0.000 0.000 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

24 24 26 24 3697 26 22 26 26

N.S.

1 1.00 1.08 1.00 154.04 1.08 0.92 1.08 1.08

time (sec)

N/A 0.266 23.773 0.647 3.320 0.293 7.687 119.208 26.186

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 4757 37 24 0 26

N.S.

1 1.00 1.08 1.00 198.21 1.54 1.00 0.00 1.08

time (sec)

N/A 0.253 29.139 0.596 11.085 0.334 14.706 0.000 26.580

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 22 22 0 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.00 1.10 1.10

time (sec)

N/A 1.141 46.748 0.183 0.815 0.249 0.000 0.338 26.526

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

387 387 672 0 3940 1747 0 0 0

N.S.

1 1.00 1.74 0.00 10.18 4.51 0.00 0.00 0.00

time (sec)

N/A 1.225 7.307 0.000 0.768 0.364 0.000 0.000 0.000

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

235 235 613 429 2205 1237 0 0 0

N.S.

1 1.00 2.61 1.83 9.38 5.26 0.00 0.00 0.00

time (sec)

N/A 0.562 6.898 1.461 0.526 0.333 0.000 0.000 0.000

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 126 282 519 1173 531 0 0 0

N.S.

1 1.00 2.24 4.12 9.31 4.21 0.00 0.00 0.00

time (sec)

N/A 0.175 3.693 0.698 0.493 0.262 0.000 0.000 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 1872 22 19 22 22

N.S.

1 1.00 1.10 1.00 93.60 1.10 0.95 1.10 1.10

time (sec)

N/A 0.590 54.244 0.316 1.001 0.256 8.697 1.199 26.042

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

20 20 22 20 1884 22 20 22 22

N.S.

1 1.00 1.10 1.00 94.20 1.10 1.00 1.10 1.10

time (sec)

N/A 0.652 23.742 0.309 1.089 0.246 11.405 1.821 26.392

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 24 24 22 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.09

time (sec)

N/A 0.236 6.619 0.168 0.634 0.242 9.714 0.365 25.501

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 139 418 489 3446 892 0 0 0

N.S.

1 1.00 3.01 3.52 24.79 6.42 0.00 0.00 0.00

time (sec)

N/A 0.279 6.600 4.888 0.489 0.313 0.000 0.000 0.000

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 286 301 668 540 0 0 0

N.S.

1 1.00 2.49 2.62 5.81 4.70 0.00 0.00 0.00

time (sec)

N/A 0.190 6.401 3.176 0.443 0.294 0.000 0.000 0.000

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 66 149 988 86 0 4331 150

N.S.

1 1.00 1.20 2.71 17.96 1.56 0.00 78.75 2.73

time (sec)

N/A 0.065 0.651 1.529 0.307 0.259 0.000 1.104 27.525

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 48 61 283 36 0 571 53

N.S.

1 1.00 1.37 1.74 8.09 1.03 0.00 16.31 1.51

time (sec)

N/A 0.035 0.641 0.878 0.209 0.254 0.000 0.384 26.279

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 1090 24 20 24 24

N.S.

1 1.00 1.09 1.00 49.55 1.09 0.91 1.09 1.09

time (sec)

N/A 0.132 8.444 0.389 0.769 0.254 0.460 0.439 24.834

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 1396 35 22 24 24

N.S.

1 1.00 1.09 1.00 63.45 1.59 1.00 1.09 1.09

time (sec)

N/A 0.178 12.786 0.349 1.705 0.244 0.712 6.735 26.933

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 24 24 22 24 26

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.18

time (sec)

N/A 0.095 51.865 0.175 1.079 0.257 9.301 0.604 28.195

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

337 337 530 1127 3831 1315 0 0 0

N.S.

1 1.00 1.57 3.34 11.37 3.90 0.00 0.00 0.00

time (sec)

N/A 0.474 3.749 2.008 1.370 0.330 0.000 0.000 0.000

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 193 526 584 1891 795 0 0 0

N.S.

1 1.00 2.73 3.03 9.80 4.12 0.00 0.00 0.00

time (sec)

N/A 0.301 7.704 1.252 0.567 0.300 0.000 0.000 0.000

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

117 117 555 267 0 435 0 0 0

N.S.

1 1.00 4.74 2.28 0.00 3.72 0.00 0.00 0.00

time (sec)

N/A 0.139 7.029 0.704 0.000 0.300 0.000 0.000 0.000

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