Integrals 401 to 500

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 401

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

104 106 229 280 0 304 0 501 192 577

N.S.

1 1.02 2.20 2.69 0.00 2.92 0.00 4.82 1.85 5.55

time (sec)

N/A 0.422 1.127 1.904 0.000 0.079 0.000 0.180 0.215 11.882

Problem 402

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 158 229 282 0 317 0 517 240 577

N.S.

1 0.98 1.42 1.75 0.00 1.97 0.00 3.21 1.49 3.58

time (sec)

N/A 0.459 1.112 2.255 0.000 0.079 0.000 0.167 0.232 11.676

Problem 403

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

222 191 233 286 0 332 0 532 251 577

N.S.

1 0.86 1.05 1.29 0.00 1.50 0.00 2.40 1.13 2.60

time (sec)

N/A 0.674 1.113 2.619 0.000 0.077 0.000 0.177 0.200 11.214

Problem 404

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

298 191 229 278 0 335 0 543 262 577

N.S.

1 0.64 0.77 0.93 0.00 1.12 0.00 1.82 0.88 1.94

time (sec)

N/A 0.646 1.112 3.128 0.000 0.082 0.000 0.196 0.209 11.617

Problem 405

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

298 191 232 286 0 354 0 560 273 577

N.S.

1 0.64 0.78 0.96 0.00 1.19 0.00 1.88 0.92 1.94

time (sec)

N/A 0.614 1.119 3.759 0.000 0.090 0.000 0.180 0.216 11.637

Problem 406

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

298 191 232 286 0 365 0 575 284 577

N.S.

1 0.64 0.78 0.96 0.00 1.22 0.00 1.93 0.95 1.94

time (sec)

N/A 0.624 1.115 4.579 0.000 0.085 0.000 0.191 0.203 11.650

Problem 407

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

298 191 233 286 0 376 0 588 295 577

N.S.

1 0.64 0.78 0.96 0.00 1.26 0.00 1.97 0.99 1.94

time (sec)

N/A 0.634 1.118 5.904 0.000 0.093 0.000 0.174 0.246 11.518

Problem 408

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

436 275 876 1198 1744 964 137712 1945 690 0

N.S.

1 0.63 2.01 2.75 4.00 2.21 315.85 4.46 1.58 0.00

time (sec)

N/A 1.670 1.408 2.247 0.050 0.088 2.575 0.210 0.205 0.000

Problem 409

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

383 271 740 1033 1330 813 82268 1647 581 0

N.S.

1 0.71 1.93 2.70 3.47 2.12 214.80 4.30 1.52 0.00

time (sec)

N/A 1.430 1.329 1.820 0.055 0.084 2.222 0.208 0.224 0.000

Problem 410

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

324 232 611 861 1004 677 48020 1351 472 0

N.S.

1 0.72 1.89 2.66 3.10 2.09 148.21 4.17 1.46 0.00

time (sec)

N/A 1.210 1.268 1.625 0.049 0.079 2.352 0.177 0.208 0.000

Problem 411

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

259 187 478 676 698 532 26879 1051 363 0

N.S.

1 0.72 1.85 2.61 2.69 2.05 103.78 4.06 1.40 0.00

time (sec)

N/A 0.981 1.234 1.453 0.054 0.079 1.759 0.204 0.211 0.000

Problem 412

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

198 146 347 480 456 384 13857 753 254 0

N.S.

1 0.74 1.75 2.42 2.30 1.94 69.98 3.80 1.28 0.00

time (sec)

N/A 0.790 1.177 1.290 0.068 0.075 1.758 0.195 0.260 0.000

Problem 413

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 103 214 284 254 239 6004 458 145 0

N.S.

1 0.76 1.59 2.10 1.88 1.77 44.47 3.39 1.07 0.00

time (sec)

N/A 0.585 1.114 1.216 0.038 0.070 1.732 0.189 0.206 0.000

Problem 414

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 71 121 138 125 115 2147 217 65 0

N.S.

1 1.00 1.70 1.94 1.76 1.62 30.24 3.06 0.92 0.00

time (sec)

N/A 0.341 0.055 1.125 0.030 0.073 0.874 0.178 0.201 0.000

Problem 415

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

340 216 386 697 0 555 0 957 411 0

N.S.

1 0.64 1.14 2.05 0.00 1.63 0.00 2.81 1.21 0.00

time (sec)

N/A 0.758 1.263 1.451 0.000 0.078 0.000 0.217 0.199 0.000

Problem 416

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

423 262 506 685 0 797 0 944 549 0

N.S.

1 0.62 1.20 1.62 0.00 1.88 0.00 2.23 1.30 0.00

time (sec)

N/A 1.110 1.295 1.523 0.000 0.091 0.000 0.177 0.213 0.000

Problem 417

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

424 263 501 661 0 871 0 924 625 0

N.S.

1 0.62 1.18 1.56 0.00 2.05 0.00 2.18 1.47 0.00

time (sec)

N/A 1.033 1.312 1.660 0.000 0.096 0.000 0.187 0.259 0.000

Problem 418

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

425 264 504 646 0 899 0 911 645 0

N.S.

1 0.62 1.19 1.52 0.00 2.12 0.00 2.14 1.52 0.00

time (sec)

N/A 0.991 1.338 1.793 0.000 0.097 0.000 0.185 0.209 0.000

Problem 419

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

421 260 497 633 0 871 0 907 634 0

N.S.

1 0.62 1.18 1.50 0.00 2.07 0.00 2.15 1.51 0.00

time (sec)

N/A 0.924 1.330 1.915 0.000 0.090 0.000 0.177 0.211 0.000

Problem 420

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

422 261 490 634 0 802 0 899 576 0

N.S.

1 0.62 1.16 1.50 0.00 1.90 0.00 2.13 1.36 0.00

time (sec)

N/A 0.916 1.318 2.435 0.000 0.104 0.000 0.155 0.201 0.000

Problem 421

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

365 211 477 613 0 703 0 907 498 0

N.S.

1 0.58 1.31 1.68 0.00 1.93 0.00 2.48 1.36 0.00

time (sec)

N/A 0.722 1.309 2.902 0.000 0.091 0.000 0.183 0.250 0.000

Problem 422

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

104 106 465 594 0 621 0 1017 383 1489

N.S.

1 1.02 4.47 5.71 0.00 5.97 0.00 9.78 3.68 14.32

time (sec)

N/A 0.414 1.228 3.585 0.000 0.086 0.000 0.177 0.211 11.583

Problem 423

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 158 466 596 0 634 0 1033 453 1489

N.S.

1 0.98 2.89 3.70 0.00 3.94 0.00 6.42 2.81 9.25

time (sec)

N/A 0.460 1.228 4.866 0.000 0.094 0.000 0.195 0.206 11.495

Problem 424

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

222 202 468 596 0 645 0 1046 464 1489

N.S.

1 0.91 2.11 2.68 0.00 2.91 0.00 4.71 2.09 6.71

time (sec)

N/A 0.523 1.226 6.280 0.000 0.091 0.000 0.175 0.206 11.591

Problem 425

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

282 277 468 602 0 662 0 1063 475 1488

N.S.

1 0.98 1.66 2.13 0.00 2.35 0.00 3.77 1.68 5.28

time (sec)

N/A 0.937 1.237 8.461 0.000 0.101 0.000 0.224 0.264 11.597

Problem 426

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

342 277 471 602 0 673 0 1076 486 1489

N.S.

1 0.81 1.38 1.76 0.00 1.97 0.00 3.15 1.42 4.35

time (sec)

N/A 0.847 1.253 11.129 0.000 0.099 0.000 0.191 0.213 11.656

Problem 427

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

438 277 465 590 0 672 0 1087 497 1489

N.S.

1 0.63 1.06 1.35 0.00 1.53 0.00 2.48 1.13 3.40

time (sec)

N/A 0.883 1.231 17.867 0.000 0.105 0.000 0.203 0.209 11.664

Problem 428

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

435 274 471 602 0 695 0 1104 508 1489

N.S.

1 0.63 1.08 1.38 0.00 1.60 0.00 2.54 1.17 3.42

time (sec)

N/A 0.861 1.244 24.193 0.000 0.104 0.000 0.237 0.238 11.658

Problem 429

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

248 149 185 326 438 269 1110 442 32 0

N.S.

1 0.60 0.75 1.31 1.77 1.08 4.48 1.78 0.13 0.00

time (sec)

N/A 0.554 1.148 1.290 0.048 0.075 2.748 0.174 0.221 0.000

Problem 430

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

191 117 118 193 244 158 638 256 21 0

N.S.

1 0.61 0.62 1.01 1.28 0.83 3.34 1.34 0.11 0.00

time (sec)

N/A 0.486 1.094 1.038 0.037 0.073 2.114 0.180 0.244 0.000

Problem 431

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

134 85 72 99 101 75 316 117 10 0

N.S.

1 0.63 0.54 0.74 0.75 0.56 2.36 0.87 0.07 0.00

time (sec)

N/A 0.428 1.055 0.802 0.034 0.082 1.536 0.175 0.202 0.000

Problem 432

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B A A A B A B B

verified

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

size

69 69 177 43 52 25 134 45 1 79

N.S.

1 1.00 2.57 0.62 0.75 0.36 1.94 0.65 0.01 1.14

time (sec)

N/A 0.336 0.183 0.865 0.031 0.079 0.843 0.122 0.228 11.459

Problem 433

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 83 255 76 0 53 0 84 10 0

N.S.

1 0.78 2.38 0.71 0.00 0.50 0.00 0.79 0.09 0.00

time (sec)

N/A 0.424 0.968 1.074 0.000 0.080 0.000 0.156 0.212 0.000

Problem 434

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

106 127 97 160 0 148 0 186 12 0

N.S.

1 1.20 0.92 1.51 0.00 1.40 0.00 1.75 0.11 0.00

time (sec)

N/A 0.454 1.134 1.158 0.000 0.083 0.000 0.110 0.213 0.000

Problem 435

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

212 138 131 257 0 343 0 311 23 0

N.S.

1 0.65 0.62 1.21 0.00 1.62 0.00 1.47 0.11 0.00

time (sec)

N/A 0.567 1.159 1.246 0.000 0.086 0.000 0.155 0.238 0.000

Problem 436

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

271 172 168 413 0 608 0 508 34 0

N.S.

1 0.63 0.62 1.52 0.00 2.24 0.00 1.87 0.13 0.00

time (sec)

N/A 0.633 1.165 1.488 0.000 0.096 0.000 0.155 0.217 0.000

Problem 437

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

329 217 373 466 761 668 0 466 297 0

N.S.

1 0.66 1.13 1.42 2.31 2.03 0.00 1.42 0.90 0.00

time (sec)

N/A 0.841 1.269 2.094 0.050 0.089 0.000 0.147 0.211 0.000

Problem 438

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

249 167 256 305 487 442 0 323 197 0

N.S.

1 0.67 1.03 1.22 1.96 1.78 0.00 1.30 0.79 0.00

time (sec)

N/A 0.685 1.186 1.697 0.041 0.083 0.000 0.155 0.205 0.000

Problem 439

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

186 129 151 196 277 258 0 181 112 0

N.S.

1 0.69 0.81 1.05 1.49 1.39 0.00 0.97 0.60 0.00

time (sec)

N/A 0.586 1.114 1.599 0.046 0.084 0.000 0.161 0.207 0.000

Problem 440

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

127 95 86 97 120 110 0 88 49 0

N.S.

1 0.75 0.68 0.76 0.94 0.87 0.00 0.69 0.39 0.00

time (sec)

N/A 0.457 1.057 1.303 0.036 0.078 0.000 0.196 0.250 0.000

Problem 441

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B A A A F A B B

verified

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

size

69 69 176 32 56 38 0 32 12 42

N.S.

1 1.00 2.55 0.46 0.81 0.55 0.00 0.46 0.17 0.61

time (sec)

N/A 0.328 0.157 1.219 0.033 0.072 0.000 0.120 0.209 11.160

Problem 442

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

196 139 132 253 0 361 0 288 115 0

N.S.

1 0.71 0.67 1.29 0.00 1.84 0.00 1.47 0.59 0.00

time (sec)

N/A 0.568 1.121 1.713 0.000 0.086 0.000 0.170 0.207 0.000

Problem 443

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

266 184 174 421 0 803 0 468 459 0

N.S.

1 0.69 0.65 1.58 0.00 3.02 0.00 1.76 1.73 0.00

time (sec)

N/A 0.691 1.167 1.728 0.000 0.102 0.000 0.166 0.211 0.000

Problem 444

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

332 225 220 651 0 1215 0 634 821 0

N.S.

1 0.68 0.66 1.96 0.00 3.66 0.00 1.91 2.47 0.00

time (sec)

N/A 0.831 1.224 1.686 0.000 0.115 0.000 0.148 0.231 0.000

Problem 445

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

373 251 513 626 1010 914 0 653 469 0

N.S.

1 0.67 1.38 1.68 2.71 2.45 0.00 1.75 1.26 0.00

time (sec)

N/A 0.970 1.368 2.057 0.143 0.102 0.000 0.194 0.224 0.000

Problem 446

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

310 213 331 456 755 619 0 454 309 0

N.S.

1 0.69 1.07 1.47 2.44 2.00 0.00 1.46 1.00 0.00

time (sec)

N/A 0.805 1.246 1.828 0.106 0.089 0.000 0.169 0.231 0.000

Problem 447

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

227 157 239 292 533 359 0 297 180 0

N.S.

1 0.69 1.05 1.29 2.35 1.58 0.00 1.31 0.79 0.00

time (sec)

N/A 0.584 1.171 1.550 0.063 0.090 0.000 0.147 0.233 0.000

Problem 448

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B A F A B B

verified

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

size

104 106 142 161 279 189 0 174 69 302

N.S.

1 1.02 1.37 1.55 2.68 1.82 0.00 1.67 0.66 2.90

time (sec)

N/A 0.419 1.095 1.378 0.042 0.077 0.000 0.161 0.265 11.618

Problem 449

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A B B

verified

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

size

135 101 75 77 121 106 0 77 48 87

N.S.

1 0.75 0.56 0.57 0.90 0.79 0.00 0.57 0.36 0.64

time (sec)

N/A 0.454 1.052 1.225 0.029 0.079 0.000 0.174 0.232 11.490

Problem 450

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A B B

verified

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

size

71 71 39 33 56 61 0 33 34 43

N.S.

1 1.00 0.55 0.46 0.79 0.86 0.00 0.46 0.48 0.61

time (sec)

N/A 0.327 0.026 1.194 0.035 0.074 0.000 0.178 0.222 11.260

Problem 451

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

302 205 182 624 0 969 0 624 499 0

N.S.

1 0.68 0.60 2.07 0.00 3.21 0.00 2.07 1.65 0.00

time (sec)

N/A 0.725 1.159 1.523 0.000 0.107 0.000 0.241 0.220 0.000

Problem 452

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

388 266 250 953 0 1724 0 883 1236 0

N.S.

1 0.69 0.64 2.46 0.00 4.44 0.00 2.28 3.19 0.00

time (sec)

N/A 0.978 1.256 1.708 0.000 0.167 0.000 0.173 0.283 0.000

Problem 453

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

460 313 302 1303 0 2466 0 1145 1840 0

N.S.

1 0.68 0.66 2.83 0.00 5.36 0.00 2.49 4.00 0.00

time (sec)

N/A 1.157 1.355 1.623 0.000 0.300 0.000 0.168 0.234 0.000

Problem 454

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

164 111 88 79 263 230 0 1164 221 0

N.S.

1 0.68 0.54 0.48 1.60 1.40 0.00 7.10 1.35 0.00

time (sec)

N/A 0.458 0.126 2.290 0.059 0.077 0.000 0.202 0.221 0.000

Problem 455

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

164 111 88 79 214 189 0 831 180 0

N.S.

1 0.68 0.54 0.48 1.30 1.15 0.00 5.07 1.10 0.00

time (sec)

N/A 0.432 0.116 2.119 0.047 0.079 0.000 0.210 0.225 0.000

Problem 456

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

164 111 88 79 167 149 0 545 139 0

N.S.

1 0.68 0.54 0.48 1.02 0.91 0.00 3.32 0.85 0.00

time (sec)

N/A 0.442 0.111 2.389 0.047 0.076 0.000 0.174 0.285 0.000

Problem 457

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

164 111 88 79 120 108 0 309 98 0

N.S.

1 0.68 0.54 0.48 0.73 0.66 0.00 1.88 0.60 0.00

time (sec)

N/A 0.445 0.102 2.295 0.044 0.078 0.000 0.213 0.233 0.000

Problem 458

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A F A B B

verified

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

size

162 109 86 79 119 70 0 129 61 156

N.S.

1 0.67 0.53 0.49 0.73 0.43 0.00 0.80 0.38 0.96

time (sec)

N/A 0.442 0.105 2.517 0.043 0.084 0.000 0.178 0.215 11.470

Problem 459

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A F A B B

verified

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

size

160 107 85 79 75 79 0 148 62 109

N.S.

1 0.67 0.53 0.49 0.47 0.49 0.00 0.92 0.39 0.68

time (sec)

N/A 0.446 0.114 1.507 0.044 0.076 0.000 0.229 0.226 11.719

Problem 460

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A F A B B

verified

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

size

160 107 86 78 96 91 0 130 70 146

N.S.

1 0.67 0.54 0.49 0.60 0.57 0.00 0.81 0.44 0.91

time (sec)

N/A 0.431 0.107 1.608 0.057 0.080 0.000 1.017 0.288 12.160

Problem 461

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 109 86 79 118 101 0 128 81 174

N.S.

1 0.67 0.53 0.49 0.73 0.62 0.00 0.79 0.50 1.07

time (sec)

N/A 0.428 0.105 1.566 0.050 0.076 0.000 0.198 0.228 12.216

Problem 462

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

308 201 245 317 697 633 0 2924 480 0

N.S.

1 0.65 0.80 1.03 2.26 2.06 0.00 9.49 1.56 0.00

time (sec)

N/A 0.660 0.329 1.961 0.061 0.089 0.000 1.001 0.220 0.000

Problem 463

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

308 201 246 317 592 539 0 2139 405 0

N.S.

1 0.65 0.80 1.03 1.92 1.75 0.00 6.94 1.31 0.00

time (sec)

N/A 0.600 0.305 1.932 0.101 0.085 0.000 0.258 0.226 0.000

Problem 464

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

308 201 246 317 488 446 0 1450 330 0

N.S.

1 0.65 0.80 1.03 1.58 1.45 0.00 4.71 1.07 0.00

time (sec)

N/A 0.603 0.288 1.845 0.088 0.080 0.000 0.310 0.229 0.000

Problem 465

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

308 201 245 317 384 353 0 857 255 0

N.S.

1 0.65 0.80 1.03 1.25 1.15 0.00 2.78 0.83 0.00

time (sec)

N/A 0.572 0.271 1.853 0.063 0.087 0.000 0.255 0.268 0.000

Problem 466

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A B B

verified

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

size

306 199 244 317 382 263 0 377 184 434

N.S.

1 0.65 0.80 1.04 1.25 0.86 0.00 1.23 0.60 1.42

time (sec)

N/A 0.582 0.263 1.852 0.066 0.080 0.000 0.170 0.231 12.531

Problem 467

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F B B B

verified

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

size

302 195 240 317 282 272 0 529 186 327

N.S.

1 0.65 0.79 1.05 0.93 0.90 0.00 1.75 0.62 1.08

time (sec)

N/A 0.609 0.275 1.380 0.060 0.090 0.000 0.226 0.230 12.644

Problem 468

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F B B B

verified

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

size

304 197 243 211 304 284 0 508 193 362

N.S.

1 0.65 0.80 0.69 1.00 0.93 0.00 1.67 0.63 1.19

time (sec)

N/A 0.586 0.325 1.439 0.072 0.086 0.000 0.251 0.212 12.904

Problem 469

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F B B B

verified

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

size

304 197 244 252 326 294 0 502 204 377

N.S.

1 0.65 0.80 0.83 1.07 0.97 0.00 1.65 0.67 1.24

time (sec)

N/A 0.585 0.347 1.389 0.077 0.083 0.000 0.236 0.226 12.632

Problem 470

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

452 291 490 689 1241 1137 0 5164 807 0

N.S.

1 0.64 1.08 1.52 2.75 2.52 0.00 11.42 1.79 0.00

time (sec)

N/A 0.864 0.679 1.901 0.072 0.090 0.000 0.324 0.258 0.000

Problem 471

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

452 291 492 689 1080 993 0 3831 698 0

N.S.

1 0.64 1.09 1.52 2.39 2.20 0.00 8.48 1.54 0.00

time (sec)

N/A 0.795 0.697 1.938 0.072 0.094 0.000 0.338 0.236 0.000

Problem 472

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

452 291 491 689 921 848 0 2642 589 0

N.S.

1 0.64 1.09 1.52 2.04 1.88 0.00 5.85 1.30 0.00

time (sec)

N/A 0.763 0.646 1.918 0.062 0.082 0.000 0.243 0.282 0.000

Problem 473

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

452 291 490 689 760 702 0 1597 480 0

N.S.

1 0.64 1.08 1.52 1.68 1.55 0.00 3.53 1.06 0.00

time (sec)

N/A 0.764 0.620 1.924 0.103 0.079 0.000 0.218 0.217 0.000

Problem 474

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

448 287 490 689 758 560 0 722 375 826

N.S.

1 0.64 1.09 1.54 1.69 1.25 0.00 1.61 0.84 1.84

time (sec)

N/A 0.740 0.599 1.950 0.080 0.084 0.000 0.182 0.220 12.507

Problem 475

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

446 285 486 681 603 569 0 1133 377 659

N.S.

1 0.64 1.09 1.53 1.35 1.28 0.00 2.54 0.85 1.48

time (sec)

N/A 0.710 0.670 1.290 0.064 0.082 0.000 0.228 0.256 13.130

Problem 476

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

446 285 487 467 625 581 0 1104 384 695

N.S.

1 0.64 1.09 1.05 1.40 1.30 0.00 2.48 0.86 1.56

time (sec)

N/A 0.746 0.676 1.339 0.069 0.087 0.000 0.269 0.221 13.183

Problem 477

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

448 287 489 437 647 592 0 1099 395 718

N.S.

1 0.64 1.09 0.98 1.44 1.32 0.00 2.45 0.88 1.60

time (sec)

N/A 0.742 0.643 1.486 0.079 0.090 0.000 0.230 0.277 13.154

Problem 478

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

289 179 204 351 0 591 0 497 38 0

N.S.

1 0.62 0.71 1.21 0.00 2.04 0.00 1.72 0.13 0.00

time (sec)

N/A 0.537 0.486 1.264 0.000 0.090 0.000 0.226 0.238 0.000

Problem 479

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

230 150 148 225 0 373 0 304 27 0

N.S.

1 0.65 0.64 0.98 0.00 1.62 0.00 1.32 0.12 0.00

time (sec)

N/A 0.485 0.376 1.095 0.000 0.089 0.000 0.230 0.248 0.000

Problem 480

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

173 121 114 133 0 211 0 164 16 0

N.S.

1 0.70 0.66 0.77 0.00 1.22 0.00 0.95 0.09 0.00

time (sec)

N/A 0.462 0.306 1.162 0.000 0.082 0.000 0.178 0.227 0.000

Problem 481

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

124 100 105 97 0 209 0 84 11 0

N.S.

1 0.81 0.85 0.78 0.00 1.69 0.00 0.68 0.09 0.00

time (sec)

N/A 0.399 0.196 1.198 0.000 0.086 0.000 0.202 0.240 0.000

Problem 482

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 114 121 148 0 363 0 111 13 0

N.S.

1 0.83 0.88 1.07 0.00 2.63 0.00 0.80 0.09 0.00

time (sec)

N/A 0.434 0.338 1.155 0.000 0.097 0.000 0.225 0.262 0.000

Problem 483

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 149 136 233 0 486 0 201 20 0

N.S.

1 0.77 0.70 1.20 0.00 2.51 0.00 1.04 0.10 0.00

time (sec)

N/A 0.492 0.485 1.223 0.000 0.105 0.000 0.195 0.214 0.000

Problem 484

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

251 185 193 386 0 882 0 360 31 0

N.S.

1 0.74 0.77 1.54 0.00 3.51 0.00 1.43 0.12 0.00

time (sec)

N/A 0.522 0.623 1.115 0.000 0.122 0.000 0.204 0.216 0.000

Problem 485

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

362 251 331 308 0 1060 0 621 449 0

N.S.

1 0.69 0.91 0.85 0.00 2.93 0.00 1.72 1.24 0.00

time (sec)

N/A 0.651 1.542 1.727 0.000 0.107 0.000 0.237 0.283 0.000

Problem 486

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

296 222 235 234 0 680 0 414 273 0

N.S.

1 0.75 0.79 0.79 0.00 2.30 0.00 1.40 0.92 0.00

time (sec)

N/A 0.589 1.217 1.608 0.000 0.108 0.000 0.212 0.217 0.000

Problem 487

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

235 192 162 204 0 703 0 250 127 0

N.S.

1 0.82 0.69 0.87 0.00 2.99 0.00 1.06 0.54 0.00

time (sec)

N/A 0.569 1.081 1.665 0.000 0.101 0.000 0.190 0.283 0.000

Problem 488

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

204 171 166 555 0 721 0 259 129 0

N.S.

1 0.84 0.81 2.72 0.00 3.53 0.00 1.27 0.63 0.00

time (sec)

N/A 0.525 1.047 1.546 0.000 0.102 0.000 0.204 0.233 0.000

Problem 489

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

215 177 167 556 0 808 0 294 156 0

N.S.

1 0.82 0.78 2.59 0.00 3.76 0.00 1.37 0.73 0.00

time (sec)

N/A 0.542 1.042 1.506 0.000 0.136 0.000 0.190 0.223 0.000

Problem 490

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

263 213 215 681 0 1410 0 412 220 0

N.S.

1 0.81 0.82 2.59 0.00 5.36 0.00 1.57 0.84 0.00

time (sec)

N/A 0.597 1.486 1.702 0.000 0.130 0.000 0.197 0.273 0.000

Problem 491

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

330 250 311 928 0 1756 0 536 493 0

N.S.

1 0.76 0.94 2.81 0.00 5.32 0.00 1.62 1.49 0.00

time (sec)

N/A 0.649 2.035 1.835 0.000 0.185 0.000 0.239 0.227 0.000

Problem 492

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

398 286 427 1230 0 2657 0 717 804 0

N.S.

1 0.72 1.07 3.09 0.00 6.68 0.00 1.80 2.02 0.00

time (sec)

N/A 0.697 2.275 1.649 0.000 0.401 0.000 0.221 0.224 0.000

Problem 493

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

492 315 583 513 0 2006 0 1121 1000 0

N.S.

1 0.64 1.18 1.04 0.00 4.08 0.00 2.28 2.03 0.00

time (sec)

N/A 0.723 3.412 2.173 0.000 0.186 0.000 0.236 0.271 0.000

Problem 494

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

424 286 444 439 0 1414 0 824 674 0

N.S.

1 0.67 1.05 1.04 0.00 3.33 0.00 1.94 1.59 0.00

time (sec)

N/A 0.688 3.831 1.535 0.000 0.158 0.000 0.210 0.238 0.000

Problem 495

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

361 256 329 409 0 1485 0 570 383 0

N.S.

1 0.71 0.91 1.13 0.00 4.11 0.00 1.58 1.06 0.00

time (sec)

N/A 0.642 3.417 1.602 0.000 0.135 0.000 0.185 0.231 0.000

Problem 496

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

329 235 328 1273 0 1547 0 579 410 0

N.S.

1 0.71 1.00 3.87 0.00 4.70 0.00 1.76 1.25 0.00

time (sec)

N/A 0.594 3.376 1.520 0.000 0.145 0.000 0.158 0.299 0.000

Problem 497

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

339 241 328 1273 0 1706 0 617 470 0

N.S.

1 0.71 0.97 3.76 0.00 5.03 0.00 1.82 1.39 0.00

time (sec)

N/A 0.605 3.145 1.511 0.000 0.172 0.000 0.179 0.232 0.000

Problem 498

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

348 255 326 1296 0 1841 0 659 536 0

N.S.

1 0.73 0.94 3.72 0.00 5.29 0.00 1.89 1.54 0.00

time (sec)

N/A 0.608 2.367 1.526 0.000 0.156 0.000 0.183 0.223 0.000

Problem 499

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

359 269 325 1296 0 1980 0 693 597 0

N.S.

1 0.75 0.91 3.61 0.00 5.52 0.00 1.93 1.66 0.00

time (sec)

N/A 0.649 2.009 1.536 0.000 0.154 0.000 0.180 0.290 0.000

Problem 500

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

403 305 425 1493 0 2968 0 852 702 0

N.S.

1 0.76 1.05 3.70 0.00 7.36 0.00 2.11 1.74 0.00

time (sec)

N/A 0.671 4.010 1.555 0.000 0.360 0.000 0.218 0.245 0.000