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2.2.4 Integrals 301 to 365

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 301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 109 107 127 149 219 0 568 286

N.S.

1 0.90 0.88 1.05 1.23 1.81 0.00 4.69 2.36

time (sec)

N/A 0.316 0.338 1.268 0.201 0.319 0.000 1.557 14.901

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 74 62 72 74 102 0 313 124

N.S.

1 1.00 0.84 0.97 1.00 1.38 0.00 4.23 1.68

time (sec)

N/A 0.293 0.183 0.836 0.209 0.295 0.000 0.649 14.307

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 50 54 49 41 46 0 238 257

N.S.

1 0.93 1.00 0.91 0.76 0.85 0.00 4.41 4.76

time (sec)

N/A 0.250 0.030 0.496 0.200 0.289 0.000 0.368 14.368

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 139 136 114 142 234 0 303 160

N.S.

1 1.01 0.99 0.83 1.03 1.70 0.00 2.20 1.16

time (sec)

N/A 0.367 0.431 1.048 0.204 0.345 0.000 0.321 14.617

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

197 199 187 164 303 693 0 656 313

N.S.

1 1.01 0.95 0.83 1.54 3.52 0.00 3.33 1.59

time (sec)

N/A 0.465 1.770 1.468 0.217 0.411 0.000 0.379 14.957

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

278 285 283 230 558 1378 0 795 471

N.S.

1 1.03 1.02 0.83 2.01 4.96 0.00 2.86 1.69

time (sec)

N/A 0.603 6.451 2.361 0.214 0.618 0.000 0.434 15.760

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 283 559 365 0 843 0 411 9452

N.S.

1 1.42 2.80 1.82 0.00 4.22 0.00 2.06 47.26

time (sec)

N/A 0.781 6.180 2.076 0.000 0.560 0.000 2.113 17.227

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

150 174 327 219 0 584 0 294 7044

N.S.

1 1.16 2.18 1.46 0.00 3.89 0.00 1.96 46.96

time (sec)

N/A 0.824 1.534 1.152 0.000 0.343 0.000 0.936 16.187

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 90 80 115 0 383 0 144 551

N.S.

1 1.06 0.94 1.35 0.00 4.51 0.00 1.69 6.48

time (sec)

N/A 0.485 0.311 0.789 0.000 0.301 0.000 0.535 14.685

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

227 227 209 184 0 705 0 332 6093

N.S.

1 1.00 0.92 0.81 0.00 3.11 0.00 1.46 26.84

time (sec)

N/A 0.712 1.625 1.440 0.000 0.324 0.000 0.335 18.955

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

360 360 303 260 0 1481 0 487 8348

N.S.

1 1.00 0.84 0.72 0.00 4.11 0.00 1.35 23.19

time (sec)

N/A 0.914 2.111 1.815 0.000 0.358 0.000 0.383 19.430

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

761 0 1846 2967 0 0 0 0 0

N.S.

1 0.00 2.43 3.90 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 52.967 3.689 0.000 0.000 0.000 0.000 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

740 0 548 1651 0 0 0 0 0

N.S.

1 0.00 0.74 2.23 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 21.452 3.363 0.000 0.000 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No No No TBD TBD TBD TBD TBD

size

415 352 646 820 0 0 0 0 0

N.S.

1 0.85 1.56 1.98 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.353 5.978 2.538 0.000 0.000 0.000 0.000 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No No No TBD TBD TBD TBD TBD

size

422 412 1475 1919 0 0 0 0 0

N.S.

1 0.98 3.50 4.55 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.237 38.297 3.578 0.000 0.000 0.000 0.000 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

863 0 1571 4016 0 0 0 0 0

N.S.

1 0.00 1.82 4.65 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 23.898 3.274 0.000 0.000 0.000 0.000 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

836 0 2169 7581 0 0 0 0 0

N.S.

1 0.00 2.59 9.07 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 33.622 4.790 0.000 0.000 0.000 0.000 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

169 132 152 883 191 425 0 966 0

N.S.

1 0.78 0.90 5.22 1.13 2.51 0.00 5.72 0.00

time (sec)

N/A 0.363 1.908 16.530 0.284 0.438 0.000 1.758 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

100 81 87 465 108 311 0 539 0

N.S.

1 0.81 0.87 4.65 1.08 3.11 0.00 5.39 0.00

time (sec)

N/A 0.299 0.700 10.670 0.303 0.441 0.000 0.705 0.000

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 49 49 42 67 192 0 185 47

N.S.

1 0.96 0.96 0.82 1.31 3.76 0.00 3.63 0.92

time (sec)

N/A 0.239 0.136 0.659 0.282 0.427 0.000 0.405 13.724

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 118 100 543 0 2132 0 293 0

N.S.

1 1.11 0.94 5.12 0.00 20.11 0.00 2.76 0.00

time (sec)

N/A 0.365 0.234 2.245 0.000 0.604 0.000 0.630 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

215 268 212 2072 0 3523 0 514 0

N.S.

1 1.25 0.99 9.64 0.00 16.39 0.00 2.39 0.00

time (sec)

N/A 0.552 2.452 2.199 0.000 1.810 0.000 0.837 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

344 345 376 1380 0 0 0 0 0

N.S.

1 1.00 1.09 4.01 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.252 11.573 11.952 0.000 0.000 0.000 0.000 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 125 151 182 0 0 0 0 0

N.S.

1 1.00 1.21 1.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.234 0.133 6.573 0.000 0.000 0.000 0.000 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

246 246 154 546 0 0 0 0 0

N.S.

1 1.00 0.63 2.22 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.485 3.607 5.809 0.000 0.000 0.000 0.000 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

148 123 131 646 175 381 0 699 0

N.S.

1 0.83 0.89 4.36 1.18 2.57 0.00 4.72 0.00

time (sec)

N/A 0.337 0.871 16.651 0.278 0.426 0.000 1.807 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

79 71 66 312 92 273 0 265 0

N.S.

1 0.90 0.84 3.95 1.16 3.46 0.00 3.35 0.00

time (sec)

N/A 0.301 0.412 11.293 0.273 0.406 0.000 0.819 0.000

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 31 31 26 49 145 0 102 27

N.S.

1 1.00 1.00 0.84 1.58 4.68 0.00 3.29 0.87

time (sec)

N/A 0.235 0.091 0.742 0.269 0.392 0.000 0.493 14.771

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

106 118 100 658 0 2420 0 0 0

N.S.

1 1.11 0.94 6.21 0.00 22.83 0.00 0.00 0.00

time (sec)

N/A 0.361 0.292 2.292 0.000 1.423 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

260 272 280 3107 0 4336 0 533 0

N.S.

1 1.05 1.08 11.95 0.00 16.68 0.00 2.05 0.00

time (sec)

N/A 0.473 2.382 2.011 0.000 25.895 0.000 0.920 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

404 610 446 2243 0 0 0 0 0

N.S.

1 1.51 1.10 5.55 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.227 15.799 15.874 0.000 0.000 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

310 310 382 1069 0 0 0 0 0

N.S.

1 1.00 1.23 3.45 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.013 12.550 10.915 0.000 0.000 0.000 0.000 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 106 138 147 0 0 0 0 0

N.S.

1 1.00 1.30 1.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.222 0.124 5.436 0.000 0.000 0.000 0.000 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

361 361 366 1374 0 0 0 0 0

N.S.

1 1.00 1.01 3.81 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.759 13.148 7.097 0.000 0.000 0.000 0.000 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

148 119 117 1234 194 467 0 0 0

N.S.

1 0.80 0.79 8.34 1.31 3.16 0.00 0.00 0.00

time (sec)

N/A 0.374 0.560 15.602 0.286 0.503 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

88 79 66 731 110 317 0 258 0

N.S.

1 0.90 0.75 8.31 1.25 3.60 0.00 2.93 0.00

time (sec)

N/A 0.329 0.258 9.564 0.277 0.443 0.000 1.105 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 52 43 45 70 260 0 214 50

N.S.

1 0.96 0.80 0.83 1.30 4.81 0.00 3.96 0.93

time (sec)

N/A 0.249 0.104 0.789 0.263 0.421 0.000 0.778 15.587

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

142 143 212 2692 0 3924 0 0 0

N.S.

1 1.01 1.49 18.96 0.00 27.63 0.00 0.00 0.00

time (sec)

N/A 0.416 0.672 2.217 0.000 24.540 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

236 310 315 6367 0 8098 0 0 0

N.S.

1 1.31 1.33 26.98 0.00 34.31 0.00 0.00 0.00

time (sec)

N/A 0.593 1.092 2.335 0.000 48.259 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

530 907 531 1965 0 0 0 0 0

N.S.

1 1.71 1.00 3.71 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.898 17.412 14.836 0.000 0.000 0.000 0.000 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

344 382 329 828 0 0 0 0 0

N.S.

1 1.11 0.96 2.41 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.379 11.177 9.790 0.000 0.000 0.000 0.000 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

347 376 972 1799 0 0 0 0 0

N.S.

1 1.08 2.80 5.18 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.259 6.080 7.080 0.000 0.000 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

449 664 469 2062 0 0 0 0 0

N.S.

1 1.48 1.04 4.59 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.434 10.812 8.203 0.000 0.000 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

245 245 238 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.524 3.161 0.000 0.000 0.000 0.000 0.000 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

160 160 178 0 0 0 0 0 0

N.S.

1 1.00 1.11 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.400 1.013 0.000 0.000 0.000 0.000 0.000 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

129 129 106 0 0 0 0 0 0

N.S.

1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.381 0.584 0.000 0.000 0.000 0.000 0.000 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

266 0 786 0 0 0 0 0 0

N.S.

1 0.00 2.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 4.223 0.000 0.000 0.000 0.000 0.000 0.000

Problem 348

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

25 25 27 23 25 25 24 25 27

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.96 1.00 1.08

time (sec)

N/A 0.242 29.433 1.182 1.427 0.387 69.961 1.874 18.998

Problem 349

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

25 25 27 23 25 25 24 25 27

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.96 1.00 1.08

time (sec)

N/A 0.236 0.888 1.102 1.331 0.378 1.412 1.040 14.985

Problem 350

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

25 25 27 23 25 25 24 25 27

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.96 1.00 1.08

time (sec)

N/A 0.239 15.729 1.148 1.334 0.385 0.719 0.836 20.955

Problem 351

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

25 25 27 23 25 53 24 25 27

N.S.

1 1.00 1.08 0.92 1.00 2.12 0.96 1.00 1.08

time (sec)

N/A 0.246 19.967 1.130 1.255 0.538 4.317 1.425 28.130

Problem 352

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

23 23 25 23 25 25 22 25 27

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.96 1.09 1.17

time (sec)

N/A 0.221 7.759 1.869 1.886 0.464 33.982 0.829 15.760

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

177 160 137 0 0 0 0 0 0

N.S.

1 0.90 0.77 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.347 1.374 0.000 0.000 0.000 0.000 0.000 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

102 99 80 0 0 0 0 0 0

N.S.

1 0.97 0.78 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.289 0.562 0.000 0.000 0.000 0.000 0.000 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

48 48 48 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.220 0.171 0.000 0.000 0.000 0.000 0.000 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

162 171 132 0 0 0 0 0 0

N.S.

1 1.06 0.81 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.370 0.386 0.000 0.000 0.000 0.000 0.000 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

279 284 186 0 0 0 0 0 0

N.S.

1 1.02 0.67 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.444 0.709 0.000 0.000 0.000 0.000 0.000 0.000

Problem 358

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

21 21 23 21 23 23 20 23 25

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.95 1.10 1.19

time (sec)

N/A 0.212 13.790 1.375 19.761 0.300 29.679 1.547 17.989

Problem 359

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

21 21 23 21 23 23 20 23 25

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.95 1.10 1.19

time (sec)

N/A 0.960 12.262 0.983 5.804 0.274 3.984 0.710 15.068

Problem 360

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

21 21 23 21 23 23 20 23 25

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.95 1.10 1.19

time (sec)

N/A 0.211 8.653 1.199 5.851 0.317 19.226 0.568 18.059

Problem 361

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

21 21 23 21 23 23 0 23 25

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.00 1.10 1.19

time (sec)

N/A 0.223 13.642 1.167 18.680 0.606 0.000 0.679 28.690

Problem 362

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

23 23 25 21 23 23 0 23 25

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.00 1.00 1.09

time (sec)

N/A 0.226 7.605 1.146 1.918 0.355 0.000 0.429 19.280

Problem 363

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

23 23 25 21 23 23 22 23 25

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.96 1.00 1.09

time (sec)

N/A 0.221 10.142 1.515 1.747 0.350 6.022 0.583 14.741

Problem 364

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

23 23 25 21 23 23 22 23 25

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.96 1.00 1.09

time (sec)

N/A 0.218 23.219 1.334 1.934 0.354 2.489 0.752 18.949

Problem 365

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

23 23 25 21 23 23 22 23 25

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.96 1.00 1.09

time (sec)

N/A 0.224 10.638 1.118 1.969 0.439 52.603 0.565 20.456

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