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2.2.24 Integrals 2301 to 2400

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 2301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

360 365 371 335 0 3449 0 3656 8768

N.S.

1 1.01 1.03 0.93 0.00 9.58 0.00 10.16 24.36

time (sec)

N/A 1.211 1.803 0.297 0.000 2.327 0.000 0.653 12.414

Problem 2302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

751 674 720 785 0 8780 0 3037 20000

N.S.

1 0.90 0.96 1.05 0.00 11.69 0.00 4.04 26.63

time (sec)

N/A 1.479 15.346 3.078 0.000 2.184 0.000 2.000 35.392

Problem 2303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

577 517 506 639 0 5124 0 2512 13637

N.S.

1 0.90 0.88 1.11 0.00 8.88 0.00 4.35 23.63

time (sec)

N/A 1.081 13.143 1.099 0.000 0.558 0.000 1.263 27.216

Problem 2304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

441 469 817 530 0 11128 0 2116 13764

N.S.

1 1.06 1.85 1.20 0.00 25.23 0.00 4.80 31.21

time (sec)

N/A 0.966 15.795 0.727 0.000 0.727 0.000 1.290 32.390

Problem 2305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

634 601 580 778 0 30962 0 5171 23750

N.S.

1 0.95 0.91 1.23 0.00 48.84 0.00 8.16 37.46

time (sec)

N/A 1.342 12.277 1.714 0.000 23.161 0.000 2.146 87.097

Problem 2306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

835 807 799 1027 0 55168 0 9101 132771

N.S.

1 0.97 0.96 1.23 0.00 66.07 0.00 10.90 159.01

time (sec)

N/A 2.330 13.357 46.461 0.000 135.890 0.000 2.429 26.912

Problem 2307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

629 733 232 691 0 753 0 0 711

N.S.

1 1.17 0.37 1.10 0.00 1.20 0.00 0.00 1.13

time (sec)

N/A 1.290 0.674 1.680 0.000 0.285 0.000 0.000 10.630

Problem 2308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

705 802 188 714 0 2759 0 0 4530

N.S.

1 1.14 0.27 1.01 0.00 3.91 0.00 0.00 6.43

time (sec)

N/A 1.128 0.754 0.452 0.000 0.312 0.000 0.000 12.182

Problem 2309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

279 330 124 281 0 200 0 614 200

N.S.

1 1.18 0.44 1.01 0.00 0.72 0.00 2.20 0.72

time (sec)

N/A 0.665 0.698 1.349 0.000 0.302 0.000 0.702 9.896

Problem 2310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 310 119 276 0 195 0 605 191

N.S.

1 1.17 0.45 1.04 0.00 0.73 0.00 2.27 0.72

time (sec)

N/A 0.606 0.441 0.556 0.000 0.282 0.000 0.706 0.152

Problem 2311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

253 292 114 273 0 190 0 594 182

N.S.

1 1.15 0.45 1.08 0.00 0.75 0.00 2.35 0.72

time (sec)

N/A 0.555 0.395 0.600 0.000 0.292 0.000 0.724 0.160

Problem 2312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

222 260 100 241 0 169 0 461 116

N.S.

1 1.17 0.45 1.09 0.00 0.76 0.00 2.08 0.52

time (sec)

N/A 0.528 0.319 0.516 0.000 0.322 0.000 0.704 0.144

Problem 2313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

218 254 100 249 0 181 0 279 167

N.S.

1 1.17 0.46 1.14 0.00 0.83 0.00 1.28 0.77

time (sec)

N/A 0.461 0.221 0.484 0.000 0.283 0.000 0.494 9.818

Problem 2314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

253 294 114 294 0 217 0 594 182

N.S.

1 1.16 0.45 1.16 0.00 0.86 0.00 2.35 0.72

time (sec)

N/A 0.524 0.558 0.575 0.000 0.334 0.000 0.489 10.549

Problem 2315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 316 119 307 0 249 0 599 187

N.S.

1 1.19 0.45 1.15 0.00 0.94 0.00 2.25 0.70

time (sec)

N/A 0.609 0.695 0.564 0.000 0.415 0.000 0.509 0.156

Problem 2316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

296 345 136 317 0 252 0 633 216

N.S.

1 1.17 0.46 1.07 0.00 0.85 0.00 2.14 0.73

time (sec)

N/A 0.649 1.182 0.603 0.000 0.399 0.000 0.677 0.165

Problem 2317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

283 327 129 312 0 247 0 624 208

N.S.

1 1.16 0.46 1.10 0.00 0.87 0.00 2.20 0.73

time (sec)

N/A 0.620 1.031 0.626 0.000 0.451 0.000 0.677 0.178

Problem 2318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 309 129 312 0 247 0 622 208

N.S.

1 1.14 0.48 1.16 0.00 0.91 0.00 2.30 0.77

time (sec)

N/A 0.580 0.841 0.560 0.000 0.381 0.000 0.673 9.858

Problem 2319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 307 129 243 0 247 0 622 208

N.S.

1 1.14 0.48 0.90 0.00 0.91 0.00 2.30 0.77

time (sec)

N/A 0.587 0.582 1.092 0.000 0.301 0.000 0.668 9.952

Problem 2320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 315 129 249 0 247 0 622 207

N.S.

1 1.17 0.48 0.92 0.00 0.91 0.00 2.30 0.77

time (sec)

N/A 0.553 0.592 0.907 0.000 0.278 0.000 0.495 9.979

Problem 2321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

283 333 138 338 0 277 0 633 217

N.S.

1 1.18 0.49 1.19 0.00 0.98 0.00 2.24 0.77

time (sec)

N/A 0.631 1.202 0.704 0.000 0.285 0.000 0.538 9.982

Problem 2322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

296 351 143 352 0 309 0 638 226

N.S.

1 1.19 0.48 1.19 0.00 1.04 0.00 2.16 0.76

time (sec)

N/A 0.650 1.351 0.799 0.000 0.292 0.000 0.529 0.188

Problem 2323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

313 362 143 328 0 307 0 642 245

N.S.

1 1.16 0.46 1.05 0.00 0.98 0.00 2.05 0.78

time (sec)

N/A 0.680 1.871 0.780 0.000 0.297 0.000 0.700 10.020

Problem 2324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

300 344 141 328 0 307 0 642 245

N.S.

1 1.15 0.47 1.09 0.00 1.02 0.00 2.14 0.82

time (sec)

N/A 0.647 1.627 0.726 0.000 0.283 0.000 0.711 10.197

Problem 2325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

300 344 143 328 0 307 0 642 245

N.S.

1 1.15 0.48 1.09 0.00 1.02 0.00 2.14 0.82

time (sec)

N/A 0.629 1.412 0.684 0.000 0.277 0.000 0.724 10.564

Problem 2326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

300 350 143 328 0 307 0 640 245

N.S.

1 1.17 0.48 1.09 0.00 1.02 0.00 2.13 0.82

time (sec)

N/A 0.639 1.402 0.691 0.000 0.283 0.000 0.699 10.438

Problem 2327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

300 350 141 324 0 307 0 642 245

N.S.

1 1.17 0.47 1.08 0.00 1.02 0.00 2.14 0.82

time (sec)

N/A 0.635 0.693 1.514 0.000 0.276 0.000 0.713 10.165

Problem 2328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

314 350 143 324 0 307 0 642 246

N.S.

1 1.11 0.46 1.03 0.00 0.98 0.00 2.04 0.78

time (sec)

N/A 0.625 0.715 1.697 0.000 0.276 0.000 0.529 10.112

Problem 2329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F C F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

313 368 148 354 0 337 0 651 252

N.S.

1 1.18 0.47 1.13 0.00 1.08 0.00 2.08 0.81

time (sec)

N/A 0.688 1.840 0.950 0.000 0.279 0.000 0.550 0.197

Problem 2330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

389 388 432 501 0 4275 0 2436 10944

N.S.

1 1.00 1.11 1.29 0.00 10.99 0.00 6.26 28.13

time (sec)

N/A 0.714 3.785 0.451 0.000 0.917 0.000 2.080 14.855

Problem 2331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

458 426 480 521 0 4933 0 5281 12164

N.S.

1 0.93 1.05 1.14 0.00 10.77 0.00 11.53 26.56

time (sec)

N/A 0.752 5.433 0.291 0.000 2.947 0.000 0.703 15.084

Problem 2332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 19 15 16 15 24 16 15

N.S.

1 1.00 0.68 0.54 0.57 0.54 0.86 0.57 0.54

time (sec)

N/A 0.160 0.012 0.020 0.208 0.270 0.412 0.283 0.033

Problem 2333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

248 225 295 391 0 787 887 393 632

N.S.

1 0.91 1.19 1.58 0.00 3.17 3.58 1.58 2.55

time (sec)

N/A 0.410 1.930 0.410 0.000 0.361 0.740 0.299 11.287

Problem 2334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

191 178 195 229 0 505 473 236 332

N.S.

1 0.93 1.02 1.20 0.00 2.64 2.48 1.24 1.74

time (sec)

N/A 0.337 1.224 0.362 0.000 0.329 0.638 0.298 10.670

Problem 2335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 114 115 115 0 297 224 121 145

N.S.

1 0.99 1.00 1.00 0.00 2.58 1.95 1.05 1.26

time (sec)

N/A 0.234 0.539 0.299 0.000 0.304 0.522 0.299 10.297

Problem 2336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 75 65 0 177 119 66 63

N.S.

1 1.00 1.00 0.87 0.00 2.36 1.59 0.88 0.84

time (sec)

N/A 0.192 0.281 0.331 0.000 0.297 0.266 0.287 10.060

Problem 2337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

152 158 175 238 0 992 0 0 0

N.S.

1 1.04 1.15 1.57 0.00 6.53 0.00 0.00 0.00

time (sec)

N/A 0.372 0.879 0.361 0.000 0.942 0.000 0.000 0.000

Problem 2338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

160 167 151 675 0 1456 0 0 0

N.S.

1 1.04 0.94 4.22 0.00 9.10 0.00 0.00 0.00

time (sec)

N/A 0.328 1.239 0.376 0.000 1.314 0.000 0.000 0.000

Problem 2339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 153 149 1138 0 918 0 693 0

N.S.

1 1.00 0.97 7.44 0.00 6.00 0.00 4.53 0.00

time (sec)

N/A 0.287 10.116 0.455 0.000 0.714 0.000 0.311 0.000

Problem 2340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

215 229 206 1253 0 1950 0 1992 0

N.S.

1 1.07 0.96 5.83 0.00 9.07 0.00 9.27 0.00

time (sec)

N/A 0.362 10.264 0.506 0.000 2.137 0.000 0.360 0.000

Problem 2341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

308 325 276 2525 0 3780 0 0 0

N.S.

1 1.06 0.90 8.20 0.00 12.27 0.00 0.00 0.00

time (sec)

N/A 0.512 10.514 0.560 0.000 12.291 0.000 0.000 0.000

Problem 2342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

402 432 367 3912 0 6374 0 8697 0

N.S.

1 1.07 0.91 9.73 0.00 15.86 0.00 21.63 0.00

time (sec)

N/A 0.685 11.651 0.693 0.000 58.981 0.000 0.689 0.000

Problem 2343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

321 267 509 754 0 1359 3259 737 0

N.S.

1 0.83 1.59 2.35 0.00 4.23 10.15 2.30 0.00

time (sec)

N/A 0.454 4.493 0.338 0.000 0.385 0.836 0.294 0.000

Problem 2344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

257 221 337 460 0 899 1656 465 0

N.S.

1 0.86 1.31 1.79 0.00 3.50 6.44 1.81 0.00

time (sec)

N/A 0.387 2.680 0.296 0.000 0.355 0.704 0.292 0.000

Problem 2345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 157 192 233 0 529 711 250 305

N.S.

1 0.98 1.19 1.45 0.00 3.29 4.42 1.55 1.89

time (sec)

N/A 0.272 1.430 0.275 0.000 0.313 0.559 0.291 10.291

Problem 2346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 118 104 104 0 277 539 121 103

N.S.

1 1.05 0.93 0.93 0.00 2.47 4.81 1.08 0.92

time (sec)

N/A 0.228 0.611 0.327 0.000 0.368 0.670 0.279 0.173

Problem 2347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

252 271 247 383 0 1523 0 0 0

N.S.

1 1.08 0.98 1.52 0.00 6.04 0.00 0.00 0.00

time (sec)

N/A 0.594 1.535 0.353 0.000 132.302 0.000 0.000 0.000

Problem 2348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

227 239 214 622 0 1583 0 0 0

N.S.

1 1.05 0.94 2.74 0.00 6.97 0.00 0.00 0.00

time (sec)

N/A 0.536 10.301 0.396 0.000 9.259 0.000 0.000 0.000

Problem 2349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

236 245 311 1177 0 2711 0 794 0

N.S.

1 1.04 1.32 4.99 0.00 11.49 0.00 3.36 0.00

time (sec)

N/A 0.461 10.573 0.438 0.000 15.091 0.000 0.445 0.000

Problem 2350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 355 421 3085 0 4911 0 2059 0

N.S.

1 1.16 1.37 10.05 0.00 16.00 0.00 6.71 0.00

time (sec)

N/A 0.636 11.035 0.454 0.000 186.224 0.000 4.240 0.000

Problem 2351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

225 246 222 5074 0 2570 0 0 0

N.S.

1 1.09 0.99 22.55 0.00 11.42 0.00 0.00 0.00

time (sec)

N/A 0.362 10.452 0.583 0.000 10.785 0.000 0.000 0.000

Problem 2352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

296 322 275 5189 0 4830 0 8409 0

N.S.

1 1.09 0.93 17.53 0.00 16.32 0.00 28.41 0.00

time (sec)

N/A 0.447 10.937 0.701 0.000 44.813 0.000 0.979 0.000

Problem 2353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

409 418 349 10397 0 8058 0 14486 0

N.S.

1 1.02 0.85 25.42 0.00 19.70 0.00 35.42 0.00

time (sec)

N/A 0.606 11.397 1.038 0.000 116.606 0.000 7.261 0.000

Problem 2354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

510 524 430 15720 0 0 0 22933 0

N.S.

1 1.03 0.84 30.82 0.00 0.00 0.00 44.97 0.00

time (sec)

N/A 0.809 14.797 1.205 0.000 0.000 0.000 1.890 0.000

Problem 2355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

400 311 280 1207 0 2119 11123 1193 0

N.S.

1 0.78 0.70 3.02 0.00 5.30 27.81 2.98 0.00

time (sec)

N/A 0.487 10.504 0.390 0.000 0.571 0.948 0.303 0.000

Problem 2356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

323 264 541 661 0 1425 5671 770 0

N.S.

1 0.82 1.67 2.05 0.00 4.41 17.56 2.38 0.00

time (sec)

N/A 0.441 6.127 0.388 0.000 0.490 0.824 0.290 0.000

Problem 2357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

207 200 311 314 0 857 2428 423 0

N.S.

1 0.97 1.50 1.52 0.00 4.14 11.73 2.04 0.00

time (sec)

N/A 0.312 2.798 0.365 0.000 0.389 0.674 0.293 0.000

Problem 2358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

149 161 150 143 0 425 1732 206 143

N.S.

1 1.08 1.01 0.96 0.00 2.85 11.62 1.38 0.96

time (sec)

N/A 0.262 1.331 0.325 0.000 0.382 1.387 0.278 10.093

Problem 2359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

459 490 443 715 0 0 0 0 0

N.S.

1 1.07 0.97 1.56 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.054 3.062 0.363 0.000 0.000 0.000 0.000 0.000

Problem 2360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

388 411 370 916 0 0 0 0 0

N.S.

1 1.06 0.95 2.36 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.945 10.733 0.365 0.000 0.000 0.000 0.000 0.000

Problem 2361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

331 349 445 1435 0 3019 0 1500 0

N.S.

1 1.05 1.34 4.34 0.00 9.12 0.00 4.53 0.00

time (sec)

N/A 0.730 11.114 0.455 0.000 73.706 0.000 0.508 0.000

Problem 2362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

337 353 559 2389 0 5131 0 2152 0

N.S.

1 1.05 1.66 7.09 0.00 15.23 0.00 6.39 0.00

time (sec)

N/A 0.704 11.889 0.557 0.000 123.005 0.000 4.466 0.000

Problem 2363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

492 526 593 4043 0 0 0 0 0

N.S.

1 1.07 1.21 8.22 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.006 12.395 0.652 0.000 0.000 0.000 0.000 0.000

Problem 2364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 92 83 71 60 78 0 77 77

N.S.

1 1.05 0.94 0.81 0.68 0.89 0.00 0.88 0.88

time (sec)

N/A 0.251 0.131 0.248 0.282 0.375 0.000 0.349 0.220

Problem 2365

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

68 72 76 60 59 92 0 168 73

N.S.

1 1.06 1.12 0.88 0.87 1.35 0.00 2.47 1.07

time (sec)

N/A 0.242 0.020 0.203 0.305 0.423 0.000 0.367 10.008

Problem 2366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 36 23 41 32 85 25 22

N.S.

1 1.00 0.95 0.61 1.08 0.84 2.24 0.66 0.58

time (sec)

N/A 0.170 0.107 0.259 0.289 0.697 0.095 0.273 10.400

Problem 2367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 59 53 34 52 45 36 45 84

N.S.

1 1.09 0.98 0.63 0.96 0.83 0.67 0.83 1.56

time (sec)

N/A 0.199 0.066 0.267 0.435 0.315 0.453 0.267 11.252

Problem 2368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 59 56 43 52 47 41 32 74

N.S.

1 1.05 1.00 0.77 0.93 0.84 0.73 0.57 1.32

time (sec)

N/A 0.191 0.101 0.264 0.390 0.269 0.449 0.279 0.210

Problem 2369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

61 66 57 50 62 64 0 67 0

N.S.

1 1.08 0.93 0.82 1.02 1.05 0.00 1.10 0.00

time (sec)

N/A 0.237 0.100 0.269 0.205 0.295 0.000 0.273 0.000

Problem 2370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 66 59 46 58 51 0 52 0

N.S.

1 1.02 0.91 0.71 0.89 0.78 0.00 0.80 0.00

time (sec)

N/A 0.243 0.083 0.263 0.291 0.289 0.000 0.267 0.000

Problem 2371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

261 290 193 187 0 431 656 206 0

N.S.

1 1.11 0.74 0.72 0.00 1.65 2.51 0.79 0.00

time (sec)

N/A 0.593 0.520 0.402 0.000 0.346 0.460 0.291 0.000

Problem 2372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

202 226 153 144 0 347 439 159 0

N.S.

1 1.12 0.76 0.71 0.00 1.72 2.17 0.79 0.00

time (sec)

N/A 0.461 0.432 0.348 0.000 0.340 0.410 0.285 0.000

Problem 2373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

296 312 247 276 0 599 622 291 0

N.S.

1 1.05 0.83 0.93 0.00 2.02 2.10 0.98 0.00

time (sec)

N/A 0.600 0.750 0.443 0.000 0.357 0.797 0.316 0.000

Problem 2374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 182 150 162 0 391 393 176 0

N.S.

1 1.05 0.86 0.93 0.00 2.25 2.26 1.01 0.00

time (sec)

N/A 0.354 0.518 0.368 0.000 0.306 0.688 0.306 0.000

Problem 2375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

127 133 106 94 0 247 243 105 0

N.S.

1 1.05 0.83 0.74 0.00 1.94 1.91 0.83 0.00

time (sec)

N/A 0.296 0.384 0.296 0.000 0.280 0.608 0.309 0.000

Problem 2376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

68 68 66 57 0 165 146 61 80

N.S.

1 1.00 0.97 0.84 0.00 2.43 2.15 0.90 1.18

time (sec)

N/A 0.192 0.280 0.328 0.000 0.299 0.419 0.296 10.311

Problem 2377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 35 30 0 106 85 66 29

N.S.

1 1.00 0.97 0.83 0.00 2.94 2.36 1.83 0.81

time (sec)

N/A 0.159 0.071 0.311 0.000 0.290 0.370 0.270 10.090

Problem 2378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 79 92 157 0 343 0 71 0

N.S.

1 1.00 1.16 1.99 0.00 4.34 0.00 0.90 0.00

time (sec)

N/A 0.197 0.319 0.345 0.000 0.324 0.000 0.286 0.000

Problem 2379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 134 125 271 0 652 0 0 0

N.S.

1 1.00 0.93 2.02 0.00 4.87 0.00 0.00 0.00

time (sec)

N/A 0.259 0.595 0.368 0.000 0.421 0.000 0.000 0.000

Problem 2380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

209 230 205 561 0 1362 0 795 0

N.S.

1 1.10 0.98 2.68 0.00 6.52 0.00 3.80 0.00

time (sec)

N/A 0.404 10.186 0.358 0.000 1.169 0.000 0.297 0.000

Problem 2381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

293 337 288 966 0 2688 0 2133 0

N.S.

1 1.15 0.98 3.30 0.00 9.17 0.00 7.28 0.00

time (sec)

N/A 0.587 10.393 0.403 0.000 5.310 0.000 0.327 0.000

Problem 2382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

286 294 317 447 0 1173 0 395 0

N.S.

1 1.03 1.11 1.56 0.00 4.10 0.00 1.38 0.00

time (sec)

N/A 0.526 1.506 0.500 0.000 0.477 0.000 0.305 0.000

Problem 2383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

177 189 194 307 0 755 0 240 0

N.S.

1 1.07 1.10 1.73 0.00 4.27 0.00 1.36 0.00

time (sec)

N/A 0.344 0.845 0.408 0.000 0.430 0.000 0.284 0.000

Problem 2384

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

129 140 118 207 0 461 0 132 150

N.S.

1 1.09 0.91 1.60 0.00 3.57 0.00 1.02 1.16

time (sec)

N/A 0.281 0.670 0.380 0.000 0.391 0.000 0.292 10.430

Problem 2385

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

45 45 43 45 0 74 0 55 45

N.S.

1 1.00 0.96 1.00 0.00 1.64 0.00 1.22 1.00

time (sec)

N/A 0.165 0.356 0.346 0.000 0.344 0.000 0.290 10.072

Problem 2386

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

32 32 32 33 0 61 0 41 31

N.S.

1 1.00 1.00 1.03 0.00 1.91 0.00 1.28 0.97

time (sec)

N/A 0.157 0.248 0.332 0.000 0.301 0.000 0.290 9.979

Problem 2387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 155 190 400 0 1349 0 461 0

N.S.

1 1.00 1.23 2.58 0.00 8.70 0.00 2.97 0.00

time (sec)

N/A 0.301 0.994 0.322 0.000 0.588 0.000 0.300 0.000

Problem 2388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

255 281 250 655 0 3004 0 0 0

N.S.

1 1.10 0.98 2.57 0.00 11.78 0.00 0.00 0.00

time (sec)

N/A 0.472 10.259 0.368 0.000 1.175 0.000 0.000 0.000

Problem 2389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

371 0 353 1189 0 5732 0 2718 0

N.S.

1 0.00 0.95 3.20 0.00 15.45 0.00 7.33 0.00

time (sec)

N/A 0.000 10.789 0.444 0.000 4.642 0.000 0.365 0.000

Problem 2390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

519 567 486 1978 0 9408 0 5445 0

N.S.

1 1.09 0.94 3.81 0.00 18.13 0.00 10.49 0.00

time (sec)

N/A 1.068 11.366 0.554 0.000 28.620 0.000 0.599 0.000

Problem 2391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

389 417 566 1931 0 2249 0 820 0

N.S.

1 1.07 1.46 4.96 0.00 5.78 0.00 2.11 0.00

time (sec)

N/A 0.774 2.949 0.650 0.000 1.497 0.000 0.315 0.000

Problem 2392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

295 323 401 1132 0 1515 0 564 0

N.S.

1 1.09 1.36 3.84 0.00 5.14 0.00 1.91 0.00

time (sec)

N/A 0.619 2.131 0.447 0.000 1.448 0.000 0.311 0.000

Problem 2393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

118 118 190 287 0 366 0 333 528

N.S.

1 1.00 1.61 2.43 0.00 3.10 0.00 2.82 4.47

time (sec)

N/A 0.239 1.168 0.422 0.000 1.235 0.000 0.292 10.528

Problem 2394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 98 167 206 0 305 0 263 321

N.S.

1 1.00 1.70 2.10 0.00 3.11 0.00 2.68 3.28

time (sec)

N/A 0.218 1.008 0.316 0.000 0.788 0.000 0.305 10.164

Problem 2395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 91 110 122 0 247 0 197 121

N.S.

1 1.00 1.21 1.34 0.00 2.71 0.00 2.16 1.33

time (sec)

N/A 0.206 0.808 0.296 0.000 0.724 0.000 0.293 10.151

Problem 2396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 70 55 67 0 192 0 144 57

N.S.

1 1.00 0.79 0.96 0.00 2.74 0.00 2.06 0.81

time (sec)

N/A 0.186 0.623 0.302 0.000 0.343 0.000 0.282 9.916

Problem 2397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

310 350 309 766 0 4612 0 8447 0

N.S.

1 1.13 1.00 2.47 0.00 14.88 0.00 27.25 0.00

time (sec)

N/A 0.528 10.334 0.345 0.000 2.152 0.000 0.515 0.000

Problem 2398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

473 532 482 1143 0 8874 0 5572 0

N.S.

1 1.12 1.02 2.42 0.00 18.76 0.00 11.78 0.00

time (sec)

N/A 0.887 11.103 0.392 0.000 7.451 0.000 0.841 0.000

Problem 2399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

621 692 626 2043 0 14440 0 26254 0

N.S.

1 1.11 1.01 3.29 0.00 23.25 0.00 42.28 0.00

time (sec)

N/A 1.320 11.594 0.490 0.000 37.630 0.000 1.002 0.000

Problem 2400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 40 22 23 44 19 21 46

N.S.

1 1.00 1.38 0.76 0.79 1.52 0.66 0.72 1.59

time (sec)

N/A 0.168 0.093 0.241 0.282 0.295 0.426 0.264 10.143

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