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

verified

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

size

221 206 171 723 0 286 0 0 82 0

N.S.

1 0.93 0.77 3.27 0.00 1.29 0.00 0.00 0.37 0.00

time (sec)

N/A 1.267 2.907 6.386 0.000 0.106 0.000 0.000 0.208 0.000

Problem 402

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 178 125 650 0 247 0 0 82 0

N.S.

1 1.01 0.71 3.67 0.00 1.40 0.00 0.00 0.46 0.00

time (sec)

N/A 1.100 4.351 5.400 0.000 0.100 0.000 0.000 0.208 0.000

Problem 403

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 164 124 404 0 208 0 0 82 0

N.S.

1 1.02 0.77 2.51 0.00 1.29 0.00 0.00 0.51 0.00

time (sec)

N/A 1.003 3.732 5.195 0.000 0.104 0.000 0.000 0.243 0.000

Problem 404

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

171 174 128 487 0 226 0 0 84 0

N.S.

1 1.02 0.75 2.85 0.00 1.32 0.00 0.00 0.49 0.00

time (sec)

N/A 1.014 4.352 11.151 0.000 0.098 0.000 0.000 0.179 0.000

Problem 405

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 202 161 548 0 254 0 0 93 0

N.S.

1 0.95 0.76 2.57 0.00 1.19 0.00 0.00 0.44 0.00

time (sec)

N/A 1.181 4.527 18.325 0.000 0.110 0.000 0.000 0.199 0.000

Problem 406

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

254 230 189 610 0 282 0 0 93 0

N.S.

1 0.91 0.74 2.40 0.00 1.11 0.00 0.00 0.37 0.00

time (sec)

N/A 1.388 4.782 27.253 0.000 0.111 0.000 0.000 0.177 0.000

Problem 407

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

345 305 381 1166 0 401 0 0 117 0

N.S.

1 0.88 1.10 3.38 0.00 1.16 0.00 0.00 0.34 0.00

time (sec)

N/A 1.976 7.134 16.684 0.000 0.122 0.000 0.000 0.187 0.000

Problem 408

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

295 277 225 917 0 364 0 0 108 0

N.S.

1 0.94 0.76 3.11 0.00 1.23 0.00 0.00 0.37 0.00

time (sec)

N/A 1.791 3.891 12.725 0.000 0.105 0.000 0.000 0.177 0.000

Problem 409

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

244 248 190 970 0 326 0 0 108 0

N.S.

1 1.02 0.78 3.98 0.00 1.34 0.00 0.00 0.44 0.00

time (sec)

N/A 1.611 10.698 10.804 0.000 0.119 0.000 0.000 0.190 0.000

Problem 410

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

239 238 166 886 0 298 0 0 108 0

N.S.

1 1.00 0.69 3.71 0.00 1.25 0.00 0.00 0.45 0.00

time (sec)

N/A 1.559 7.170 9.117 0.000 0.105 0.000 0.000 0.175 0.000

Problem 411

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

236 240 172 641 0 270 0 0 108 0

N.S.

1 1.02 0.73 2.72 0.00 1.14 0.00 0.00 0.46 0.00

time (sec)

N/A 1.594 6.631 11.898 0.000 0.108 0.000 0.000 0.179 0.000

Problem 412

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

245 253 180 664 0 295 0 0 110 0

N.S.

1 1.03 0.73 2.71 0.00 1.20 0.00 0.00 0.45 0.00

time (sec)

N/A 1.571 7.212 16.921 0.000 0.108 0.000 0.000 0.188 0.000

Problem 413

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

295 281 219 745 0 332 0 0 119 0

N.S.

1 0.95 0.74 2.53 0.00 1.13 0.00 0.00 0.40 0.00

time (sec)

N/A 1.818 7.660 26.774 0.000 0.116 0.000 0.000 0.179 0.000

Problem 414

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

345 309 256 825 0 369 0 0 119 0

N.S.

1 0.90 0.74 2.39 0.00 1.07 0.00 0.00 0.34 0.00

time (sec)

N/A 2.124 9.769 41.402 0.000 0.125 0.000 0.000 0.176 0.000

Problem 415

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

277 295 664 758 0 0 0 0 18 0

N.S.

1 1.06 2.40 2.74 0.00 0.00 0.00 0.00 0.06 0.00

time (sec)

N/A 2.379 41.415 32.772 0.000 0.000 0.000 0.000 0.154 0.000

Problem 416

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

210 225 225 439 0 0 0 0 18 0

N.S.

1 1.07 1.07 2.09 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 1.738 9.314 11.809 0.000 0.000 0.000 0.000 0.173 0.000

Problem 417

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 126 123 298 0 0 0 0 16 0

N.S.

1 1.00 0.98 2.37 0.00 0.00 0.00 0.00 0.13 0.00

time (sec)

N/A 0.944 2.096 2.725 0.000 0.000 0.000 0.000 0.149 0.000

Problem 418

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 101 76 217 0 0 0 0 9 0

N.S.

1 1.00 0.75 2.15 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 0.678 0.927 1.888 0.000 0.000 0.000 0.000 0.163 0.000

Problem 419

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

149 127 220 295 0 0 0 0 18 0

N.S.

1 0.85 1.48 1.98 0.00 0.00 0.00 0.00 0.12 0.00

time (sec)

N/A 0.881 20.040 3.937 0.000 0.000 0.000 0.000 0.150 0.000

Problem 420

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

196 202 278 822 0 0 0 0 18 0

N.S.

1 1.03 1.42 4.19 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 1.375 4.840 6.025 0.000 0.000 0.000 0.000 0.153 0.000

Problem 421

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

242 254 299 1074 0 0 0 0 18 0

N.S.

1 1.05 1.24 4.44 0.00 0.00 0.00 0.00 0.07 0.00

time (sec)

N/A 1.912 5.691 4.824 0.000 0.000 0.000 0.000 0.152 0.000

Problem 422

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

406 389 733 997 0 0 0 0 30 0

N.S.

1 0.96 1.81 2.46 0.00 0.00 0.00 0.00 0.07 0.00

time (sec)

N/A 2.909 6.932 41.941 0.000 0.000 0.000 0.000 0.183 0.000

Problem 423

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

315 305 680 850 0 0 0 0 30 0

N.S.

1 0.97 2.16 2.70 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 2.209 6.763 34.051 0.000 0.000 0.000 0.000 0.154 0.000

Problem 424

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

257 249 444 715 0 0 0 0 28 0

N.S.

1 0.97 1.73 2.78 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 1.582 6.015 4.168 0.000 0.000 0.000 0.000 0.160 0.000

Problem 425

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

263 252 470 803 0 0 0 0 22 0

N.S.

1 0.96 1.79 3.05 0.00 0.00 0.00 0.00 0.08 0.00

time (sec)

N/A 1.612 6.559 4.435 0.000 0.000 0.000 0.000 0.157 0.000

Problem 426

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

283 275 460 843 0 0 0 0 31 0

N.S.

1 0.97 1.63 2.98 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 1.744 6.701 6.164 0.000 0.000 0.000 0.000 0.158 0.000

Problem 427

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

365 350 699 1059 0 0 0 0 33 0

N.S.

1 0.96 1.92 2.90 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 2.386 6.841 10.317 0.000 0.000 0.000 0.000 0.154 0.000

Problem 428

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

583 575 897 2151 0 0 0 0 46 0

N.S.

1 0.99 1.54 3.69 0.00 0.00 0.00 0.00 0.08 0.00

time (sec)

N/A 4.288 7.116 163.155 0.000 0.000 0.000 0.000 0.153 0.000

Problem 429

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

480 475 842 1997 0 0 0 0 46 0

N.S.

1 0.99 1.75 4.16 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 3.360 6.966 156.508 0.000 0.000 0.000 0.000 0.157 0.000

Problem 430

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

402 401 795 1768 0 0 0 0 46 0

N.S.

1 1.00 1.98 4.40 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 2.593 6.791 154.894 0.000 0.000 0.000 0.000 0.182 0.000

Problem 431

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

402 398 882 1873 0 0 0 0 44 0

N.S.

1 0.99 2.19 4.66 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 2.553 7.110 6.596 0.000 0.000 0.000 0.000 0.166 0.000

Problem 432

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

402 400 885 1960 0 0 0 0 38 0

N.S.

1 1.00 2.20 4.88 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 2.529 7.211 6.965 0.000 0.000 0.000 0.000 0.167 0.000

Problem 433

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

427 427 818 2000 0 0 0 0 47 0

N.S.

1 1.00 1.92 4.68 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 2.866 7.049 8.335 0.000 0.000 0.000 0.000 0.154 0.000

Problem 434

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

521 518 863 2216 0 0 0 0 49 0

N.S.

1 0.99 1.66 4.25 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 3.796 7.169 10.756 0.000 0.000 0.000 0.000 0.168 0.000

Problem 435

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

336 335 422 1472 0 0 0 0 61 0

N.S.

1 1.00 1.26 4.38 0.00 0.00 0.00 0.00 0.18 0.00

time (sec)

N/A 3.387 15.354 25.223 0.000 0.000 0.000 0.000 0.203 0.000

Problem 436

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

253 260 377 742 0 0 0 0 53 0

N.S.

1 1.03 1.49 2.93 0.00 0.00 0.00 0.00 0.21 0.00

time (sec)

N/A 2.600 13.974 15.441 0.000 0.000 0.000 0.000 0.221 0.000

Problem 437

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

208 209 122 800 0 0 0 0 55 0

N.S.

1 1.00 0.59 3.85 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 2.039 27.785 9.391 0.000 0.000 0.000 0.000 0.166 0.000

Problem 438

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

201 202 165 1054 0 452 0 0 63 0

N.S.

1 1.00 0.82 5.24 0.00 2.25 0.00 0.00 0.31 0.00

time (sec)

N/A 1.458 1.028 9.986 0.000 0.108 0.000 0.000 0.164 0.000

Problem 439

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

267 276 200 1535 0 519 0 0 63 0

N.S.

1 1.03 0.75 5.75 0.00 1.94 0.00 0.00 0.24 0.00

time (sec)

N/A 2.052 2.621 21.286 0.000 0.122 0.000 0.000 0.166 0.000

Problem 440

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

343 360 208 2107 0 588 0 0 63 0

N.S.

1 1.05 0.61 6.14 0.00 1.71 0.00 0.00 0.18 0.00

time (sec)

N/A 2.821 1.644 27.956 0.000 0.136 0.000 0.000 0.164 0.000

Problem 441

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

421 429 673 2327 0 0 0 0 98 0

N.S.

1 1.02 1.60 5.53 0.00 0.00 0.00 0.00 0.23 0.00

time (sec)

N/A 4.459 7.003 44.493 0.000 0.000 0.000 0.000 0.246 0.000

Problem 442

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

339 346 595 1674 0 0 0 0 90 0

N.S.

1 1.02 1.76 4.94 0.00 0.00 0.00 0.00 0.27 0.00

time (sec)

N/A 3.540 6.912 28.285 0.000 0.000 0.000 0.000 0.247 0.000

Problem 443

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

272 280 429 1389 0 0 0 0 90 0

N.S.

1 1.03 1.58 5.11 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 2.844 6.182 20.292 0.000 0.000 0.000 0.000 0.201 0.000

Problem 444

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

276 277 437 1394 0 0 0 0 92 0

N.S.

1 1.00 1.58 5.05 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 2.774 4.416 19.819 0.000 0.000 0.000 0.000 0.186 0.000

Problem 445

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

266 269 201 1645 0 520 0 0 100 0

N.S.

1 1.01 0.76 6.18 0.00 1.95 0.00 0.00 0.38 0.00

time (sec)

N/A 2.111 2.452 21.653 0.000 0.120 0.000 0.000 0.184 0.000

Problem 446

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

342 350 255 2107 0 589 0 0 100 0

N.S.

1 1.02 0.75 6.16 0.00 1.72 0.00 0.00 0.29 0.00

time (sec)

N/A 2.805 4.617 28.339 0.000 0.139 0.000 0.000 0.185 0.000

Problem 447

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

427 435 313 2699 0 666 0 0 100 0

N.S.

1 1.02 0.73 6.32 0.00 1.56 0.00 0.00 0.23 0.00

time (sec)

N/A 3.693 3.134 41.493 0.000 0.144 0.000 0.000 0.222 0.000

Problem 448

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

513 0 768 3085 0 0 0 0 135 0

N.S.

1 0.00 1.50 6.01 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 0.000 7.112 61.482 0.000 0.000 0.000 0.000 0.283 0.000

Problem 449

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

422 434 678 2400 0 0 0 0 127 0

N.S.

1 1.03 1.61 5.69 0.00 0.00 0.00 0.00 0.30 0.00

time (sec)

N/A 4.542 6.928 48.481 0.000 0.000 0.000 0.000 0.273 0.000

Problem 450

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

359 360 628 2074 0 0 0 0 127 0

N.S.

1 1.00 1.75 5.78 0.00 0.00 0.00 0.00 0.35 0.00

time (sec)

N/A 3.660 7.686 36.088 0.000 0.000 0.000 0.000 0.240 0.000

Problem 451

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

349 354 599 1914 0 0 0 0 127 0

N.S.

1 1.01 1.72 5.48 0.00 0.00 0.00 0.00 0.36 0.00

time (sec)

N/A 3.657 7.645 30.037 0.000 0.000 0.000 0.000 0.217 0.000

Problem 452

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

342 348 616 1982 0 0 0 0 129 0

N.S.

1 1.02 1.80 5.80 0.00 0.00 0.00 0.00 0.38 0.00

time (sec)

N/A 3.584 8.021 29.363 0.000 0.000 0.000 0.000 0.252 0.000

Problem 453

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

340 348 257 2217 0 589 0 0 137 0

N.S.

1 1.02 0.76 6.52 0.00 1.73 0.00 0.00 0.40 0.00

time (sec)

N/A 2.740 3.212 28.756 0.000 0.131 0.000 0.000 0.193 0.000

Problem 454

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

425 433 313 2699 0 666 0 0 137 0

N.S.

1 1.02 0.74 6.35 0.00 1.57 0.00 0.00 0.32 0.00

time (sec)

N/A 3.570 5.470 41.737 0.000 0.145 0.000 0.000 0.193 0.000

Problem 455

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

519 532 380 3311 0 753 0 0 137 0

N.S.

1 1.03 0.73 6.38 0.00 1.45 0.00 0.00 0.26 0.00

time (sec)

N/A 4.545 4.551 48.077 0.000 0.159 0.000 0.000 0.193 0.000

Problem 456

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

344 343 451 1606 0 0 0 0 29 0

N.S.

1 1.00 1.31 4.67 0.00 0.00 0.00 0.00 0.08 0.00

time (sec)

N/A 3.468 3.171 36.317 0.000 0.000 0.000 0.000 0.159 0.000

Problem 457

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

256 269 339 802 0 0 0 0 27 0

N.S.

1 1.05 1.32 3.13 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 2.376 13.930 19.487 0.000 0.000 0.000 0.000 0.173 0.000

Problem 458

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 138 91 251 0 0 0 0 21 0

N.S.

1 1.00 0.66 1.82 0.00 0.00 0.00 0.00 0.15 0.00

time (sec)

N/A 1.171 0.727 11.025 0.000 0.000 0.000 0.000 0.189 0.000

Problem 459

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

150 150 103 547 0 371 0 0 29 0

N.S.

1 1.00 0.69 3.65 0.00 2.47 0.00 0.00 0.19 0.00

time (sec)

N/A 1.087 3.770 14.268 0.000 0.097 0.000 0.000 0.154 0.000

Problem 460

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

212 216 161 955 0 452 0 0 29 0

N.S.

1 1.02 0.76 4.50 0.00 2.13 0.00 0.00 0.14 0.00

time (sec)

N/A 1.537 1.825 21.839 0.000 0.111 0.000 0.000 0.156 0.000

Problem 461

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

280 292 198 1535 0 520 0 0 29 0

N.S.

1 1.04 0.71 5.48 0.00 1.86 0.00 0.00 0.10 0.00

time (sec)

N/A 2.107 1.672 30.920 0.000 0.118 0.000 0.000 0.162 0.000

Problem 462

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

371 386 518 1546 0 0 0 0 41 0

N.S.

1 1.04 1.40 4.17 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 3.908 4.274 28.802 0.000 0.000 0.000 0.000 0.156 0.000

Problem 463

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

220 229 464 902 0 0 0 0 39 0

N.S.

1 1.04 2.11 4.10 0.00 0.00 0.00 0.00 0.18 0.00

time (sec)

N/A 1.832 3.346 11.227 0.000 0.000 0.000 0.000 0.158 0.000

Problem 464

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

215 226 161 551 0 606 0 0 33 0

N.S.

1 1.05 0.75 2.56 0.00 2.82 0.00 0.00 0.15 0.00

time (sec)

N/A 1.659 0.825 9.980 0.000 0.114 0.000 0.000 0.158 0.000

Problem 465

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

235 249 178 840 0 679 0 0 42 0

N.S.

1 1.06 0.76 3.57 0.00 2.89 0.00 0.00 0.18 0.00

time (sec)

N/A 1.721 1.262 21.353 0.000 0.127 0.000 0.000 0.187 0.000

Problem 466

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

326 333 252 1269 0 792 0 0 44 0

N.S.

1 1.02 0.77 3.89 0.00 2.43 0.00 0.00 0.13 0.00

time (sec)

N/A 2.479 1.856 29.757 0.000 0.146 0.000 0.000 0.159 0.000

Problem 467

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

423 427 316 1756 0 916 0 0 44 0

N.S.

1 1.01 0.75 4.15 0.00 2.17 0.00 0.00 0.10 0.00

time (sec)

N/A 3.297 2.431 41.967 0.000 0.177 0.000 0.000 0.166 0.000

Problem 468

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

399 418 726 2603 0 0 0 0 57 0

N.S.

1 1.05 1.82 6.52 0.00 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 4.025 6.964 26.806 0.000 0.000 0.000 0.000 0.156 0.000

Problem 469

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

329 338 217 1701 0 951 0 0 55 0

N.S.

1 1.03 0.66 5.17 0.00 2.89 0.00 0.00 0.17 0.00

time (sec)

N/A 2.432 1.560 20.056 0.000 0.160 0.000 0.000 0.157 0.000

Problem 470

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

346 359 245 2085 0 1071 0 0 49 0

N.S.

1 1.04 0.71 6.03 0.00 3.10 0.00 0.00 0.14 0.00

time (sec)

N/A 2.502 2.053 22.768 0.000 0.172 0.000 0.000 0.167 0.000

Problem 471

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

368 384 297 2669 0 1186 0 0 58 0

N.S.

1 1.04 0.81 7.25 0.00 3.22 0.00 0.00 0.16 0.00

time (sec)

N/A 2.703 2.363 32.358 0.000 0.179 0.000 0.000 0.195 0.000

Problem 472

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

472 481 353 3221 0 1343 0 0 60 0

N.S.

1 1.02 0.75 6.82 0.00 2.85 0.00 0.00 0.13 0.00

time (sec)

N/A 3.653 2.874 42.116 0.000 0.220 0.000 0.000 0.161 0.000

Problem 473

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

588 594 392 3925 0 1531 0 0 60 0

N.S.

1 1.01 0.67 6.68 0.00 2.60 0.00 0.00 0.10 0.00

time (sec)

N/A 4.813 3.549 46.533 0.000 0.277 0.000 0.000 0.162 0.000

Problem 474

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 27 23 25 0 24 25 40 29

N.S.

1 1.00 1.08 0.92 1.00 0.00 0.96 1.00 1.60 1.16

time (sec)

N/A 0.478 117.111 0.146 1.097 0.000 4.158 0.690 0.182 14.029

Problem 475

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 27 23 25 0 24 25 40 29

N.S.

1 1.00 1.08 0.92 1.00 0.00 0.96 1.00 1.60 1.16

time (sec)

N/A 0.464 118.675 0.139 1.074 0.000 1.611 0.615 0.182 13.891

Problem 476

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 27 23 25 0 24 25 40 29

N.S.

1 1.00 1.08 0.92 1.00 0.00 0.96 1.00 1.60 1.16

time (sec)

N/A 0.463 23.618 0.135 1.083 0.000 1.150 0.726 0.176 13.277

Problem 477

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 27 23 25 0 24 25 40 29

N.S.

1 1.00 1.08 0.92 1.00 0.00 0.96 1.00 1.60 1.16

time (sec)

N/A 0.479 24.638 0.139 1.085 0.000 1.268 0.903 0.165 13.535

Problem 478

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A 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 TBD

size

33 33 35 33 35 35 32 35 61 41

N.S.

1 1.00 1.06 1.00 1.06 1.06 0.97 1.06 1.85 1.24

time (sec)

N/A 0.274 19.022 0.368 7.497 0.124 47.922 0.737 0.239 16.030

Problem 479

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

544 539 365 0 0 0 0 0 140 0

N.S.

1 0.99 0.67 0.00 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 3.472 3.073 0.000 0.000 0.000 0.000 0.000 0.192 0.000

Problem 480

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

366 372 307 0 0 0 0 0 113 0

N.S.

1 1.02 0.84 0.00 0.00 0.00 0.00 0.00 0.31 0.00

time (sec)

N/A 2.083 1.498 0.000 0.000 0.000 0.000 0.000 0.180 0.000

Problem 481

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

261 264 239 0 0 0 0 0 86 0

N.S.

1 1.01 0.92 0.00 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 1.332 0.637 0.000 0.000 0.000 0.000 0.000 0.180 0.000

Problem 482

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 185 168 0 0 0 0 0 59 0

N.S.

1 1.05 0.95 0.00 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 0.639 0.266 0.000 0.000 0.000 0.000 0.000 0.174 0.000

Problem 483

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 130 872 383 0 179 0 0 103 166

N.S.

1 0.98 6.61 2.90 0.00 1.36 0.00 0.00 0.78 1.26

time (sec)

N/A 0.738 6.964 11.490 0.000 0.102 0.000 0.000 0.282 0.886

Problem 484

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 103 363 355 0 161 0 0 103 128

N.S.

1 1.02 3.59 3.51 0.00 1.59 0.00 0.00 1.02 1.27

time (sec)

N/A 0.698 5.105 9.787 0.000 0.098 0.000 0.000 0.255 0.353

Problem 485

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 73 309 321 0 142 0 0 95 85

N.S.

1 1.04 4.41 4.59 0.00 2.03 0.00 0.00 1.36 1.21

time (sec)

N/A 0.618 4.584 2.829 0.000 0.097 0.000 0.000 0.232 11.915

Problem 486

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 252 240 0 173 0 0 70 96

N.S.

1 1.00 3.82 3.64 0.00 2.62 0.00 0.00 1.06 1.45

time (sec)

N/A 0.614 4.413 2.124 0.000 0.092 0.000 0.000 0.199 12.378

Problem 487

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 97 293 399 0 196 0 0 103 150

N.S.

1 1.02 3.08 4.20 0.00 2.06 0.00 0.00 1.08 1.58

time (sec)

N/A 0.713 6.476 3.092 0.000 0.093 0.000 0.000 0.199 12.825

Problem 488

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 126 865 634 0 219 0 0 103 177

N.S.

1 0.95 6.55 4.80 0.00 1.66 0.00 0.00 0.78 1.34

time (sec)

N/A 0.739 6.766 4.664 0.000 0.095 0.000 0.000 0.209 13.073

Problem 489

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 190 1086 413 0 223 0 0 163 266

N.S.

1 0.98 5.60 2.13 0.00 1.15 0.00 0.00 0.84 1.37

time (sec)

N/A 1.107 7.085 20.735 0.000 0.099 0.000 0.000 0.358 12.642

Problem 490

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 162 1040 385 0 203 0 0 163 231

N.S.

1 1.01 6.46 2.39 0.00 1.26 0.00 0.00 1.01 1.43

time (sec)

N/A 1.070 6.894 18.806 0.000 0.093 0.000 0.000 0.326 12.198

Problem 491

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 132 994 357 0 179 0 0 163 153

N.S.

1 1.05 7.89 2.83 0.00 1.42 0.00 0.00 1.29 1.21

time (sec)

N/A 0.948 7.530 17.042 0.000 0.094 0.000 0.000 0.334 12.071

Problem 492

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 119 735 245 0 198 0 0 151 134

N.S.

1 1.03 6.34 2.11 0.00 1.71 0.00 0.00 1.30 1.16

time (sec)

N/A 0.889 7.520 3.310 0.000 0.090 0.000 0.000 0.326 12.246

Problem 493

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 124 333 513 0 210 0 0 114 196

N.S.

1 1.03 2.78 4.28 0.00 1.75 0.00 0.00 0.95 1.63

time (sec)

N/A 0.937 6.502 3.748 0.000 0.096 0.000 0.000 0.222 13.075

Problem 494

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

159 156 1025 714 0 239 0 0 163 229

N.S.

1 0.98 6.45 4.49 0.00 1.50 0.00 0.00 1.03 1.44

time (sec)

N/A 1.063 7.913 4.912 0.000 0.112 0.000 0.000 0.217 13.347

Problem 495

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 186 1067 824 0 263 0 0 163 235

N.S.

1 0.96 5.50 4.25 0.00 1.36 0.00 0.00 0.84 1.21

time (sec)

N/A 1.094 8.206 6.780 0.000 0.107 0.000 0.000 0.219 13.667

Problem 496

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

157 149 1056 282 0 269 0 0 71 0

N.S.

1 0.95 6.73 1.80 0.00 1.71 0.00 0.00 0.45 0.00

time (sec)

N/A 0.782 7.674 6.139 0.000 0.103 0.000 0.000 0.179 0.000

Problem 497

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

124 121 1003 262 0 250 0 0 67 0

N.S.

1 0.98 8.09 2.11 0.00 2.02 0.00 0.00 0.54 0.00

time (sec)

N/A 0.716 7.255 4.330 0.000 0.099 0.000 0.000 0.194 0.000

Problem 498

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

88 93 972 244 0 241 0 0 55 0

N.S.

1 1.06 11.05 2.77 0.00 2.74 0.00 0.00 0.62 0.00

time (sec)

N/A 0.612 6.996 3.094 0.000 0.089 0.000 0.000 0.209 0.000

Problem 499

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 88 968 243 0 237 0 0 79 0

N.S.

1 1.06 11.66 2.93 0.00 2.86 0.00 0.00 0.95 0.00

time (sec)

N/A 0.606 7.131 1.699 0.000 0.087 0.000 0.000 0.169 0.000

Problem 500

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 113 1004 318 0 292 0 0 87 0

N.S.

1 1.00 8.88 2.81 0.00 2.58 0.00 0.00 0.77 0.00

time (sec)

N/A 0.715 7.240 2.173 0.000 0.094 0.000 0.000 0.169 0.000