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2.2.4 Integrals 301 to 400

Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

205 204 331 215 0 0 0 232 5368

N.S.

1 1.00 1.61 1.05 0.00 0.00 0.00 1.13 26.19

time (sec)

N/A 0.530 0.215 0.497 0.000 0.000 0.000 0.541 65.887

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

268 266 426 284 0 0 0 327 10300

N.S.

1 0.99 1.59 1.06 0.00 0.00 0.00 1.22 38.43

time (sec)

N/A 0.651 0.277 0.541 0.000 0.000 0.000 0.601 141.998

Problem 303

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

387 387 463 413 0 24520 0 12525 41755

N.S.

1 1.00 1.20 1.07 0.00 63.36 0.00 32.36 107.89

time (sec)

N/A 2.600 0.407 0.474 0.000 164.883 0.000 2.845 11.970

Problem 304

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

323 323 385 331 0 20147 0 11046 33892

N.S.

1 1.00 1.19 1.02 0.00 62.37 0.00 34.20 104.93

time (sec)

N/A 1.138 0.337 0.487 0.000 25.695 0.000 2.443 11.481

Problem 305

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

280 280 323 264 0 15553 0 8670 25202

N.S.

1 1.00 1.15 0.94 0.00 55.55 0.00 30.96 90.01

time (sec)

N/A 0.886 0.222 0.431 0.000 2.574 0.000 2.271 10.978

Problem 306

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

251 251 277 213 0 12269 0 6936 19401

N.S.

1 1.00 1.10 0.85 0.00 48.88 0.00 27.63 77.29

time (sec)

N/A 0.591 0.320 0.436 0.000 1.116 0.000 1.777 10.548

Problem 307

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

254 254 274 215 0 16013 0 7664 23640

N.S.

1 1.00 1.08 0.85 0.00 63.04 0.00 30.17 93.07

time (sec)

N/A 0.627 0.173 0.337 0.000 13.244 0.000 1.783 11.030

Problem 308

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

298 298 340 276 0 20595 0 10072 33644

N.S.

1 1.00 1.14 0.93 0.00 69.11 0.00 33.80 112.90

time (sec)

N/A 0.930 0.262 0.462 0.000 166.674 0.000 2.513 11.326

Problem 309

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

348 348 410 349 0 24988 0 12281 42882

N.S.

1 1.00 1.18 1.00 0.00 71.80 0.00 35.29 123.22

time (sec)

N/A 1.284 0.357 0.488 0.000 293.422 0.000 2.650 11.881

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

866 878 215 264 0 0 0 0 43112

N.S.

1 1.01 0.25 0.30 0.00 0.00 0.00 0.00 49.78

time (sec)

N/A 1.833 0.304 1.988 0.000 0.000 0.000 0.000 12.008

Problem 311

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

272 296 259 369 0 1525 0 0 0

N.S.

1 1.09 0.95 1.36 0.00 5.61 0.00 0.00 0.00

time (sec)

N/A 0.659 0.970 0.571 0.000 94.121 0.000 0.000 0.000

Problem 312

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

208 219 199 286 0 1231 0 0 0

N.S.

1 1.05 0.96 1.38 0.00 5.92 0.00 0.00 0.00

time (sec)

N/A 0.486 0.646 0.456 0.000 10.363 0.000 0.000 0.000

Problem 313

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

168 172 160 190 0 1050 0 0 0

N.S.

1 1.02 0.95 1.13 0.00 6.25 0.00 0.00 0.00

time (sec)

N/A 0.387 0.941 0.404 0.000 0.871 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 186 174 240 0 2367 0 0 0

N.S.

1 1.00 0.94 1.29 0.00 12.73 0.00 0.00 0.00

time (sec)

N/A 0.470 0.457 0.446 0.000 42.124 0.000 0.000 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

361 354 158 225 0 1094 0 214 0

N.S.

1 0.98 0.44 0.62 0.00 3.03 0.00 0.59 0.00

time (sec)

N/A 0.644 0.638 0.453 0.000 0.476 0.000 0.341 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

424 435 209 246 0 0 0 0 0

N.S.

1 1.03 0.49 0.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.106 5.769 4.103 0.000 0.000 0.000 0.000 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

417 408 204 239 0 0 0 0 0

N.S.

1 0.98 0.49 0.57 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.855 5.058 1.366 0.000 0.000 0.000 0.000 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

381 401 127 341 0 0 0 0 0

N.S.

1 1.05 0.33 0.90 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.641 9.622 0.621 0.000 0.000 0.000 0.000 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

399 400 208 240 0 0 0 0 0

N.S.

1 1.00 0.52 0.60 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.713 10.182 1.897 0.000 0.000 0.000 0.000 0.000

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

360 311 154 153 0 0 0 0 0

N.S.

1 0.86 0.43 0.42 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.724 10.173 3.190 0.000 0.000 0.000 0.000 0.000

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

546 535 224 263 0 0 0 0 0

N.S.

1 0.98 0.41 0.48 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.418 10.222 4.095 0.000 0.000 0.000 0.000 0.000

Problem 322

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

482 517 545 620 0 0 0 0 0

N.S.

1 1.07 1.13 1.29 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.049 10.668 0.635 0.000 0.000 0.000 0.000 0.000

Problem 323

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

360 384 345 494 0 0 0 0 0

N.S.

1 1.07 0.96 1.37 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.845 1.942 0.685 0.000 0.000 0.000 0.000 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

269 289 266 361 0 1589 0 0 0

N.S.

1 1.07 0.99 1.34 0.00 5.91 0.00 0.00 0.00

time (sec)

N/A 0.621 1.602 0.535 0.000 111.846 0.000 0.000 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

350 344 258 360 0 0 0 0 0

N.S.

1 0.98 0.74 1.03 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.792 0.955 0.474 0.000 0.000 0.000 0.000 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

562 558 230 344 0 0 0 0 0

N.S.

1 0.99 0.41 0.61 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.988 1.099 0.559 0.000 0.000 0.000 0.000 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

463 454 214 251 0 0 0 0 0

N.S.

1 0.98 0.46 0.54 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.328 8.963 2.839 0.000 0.000 0.000 0.000 0.000

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

428 430 209 246 0 0 0 0 0

N.S.

1 1.00 0.49 0.57 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.038 10.196 1.351 0.000 0.000 0.000 0.000 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

722 423 213 258 0 0 0 0 0

N.S.

1 0.59 0.30 0.36 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.131 10.236 2.964 0.000 0.000 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

625 468 219 258 0 0 0 0 0

N.S.

1 0.75 0.35 0.41 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.242 10.246 4.107 0.000 0.000 0.000 0.000 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

553 535 224 263 0 0 0 0 0

N.S.

1 0.97 0.41 0.48 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.448 10.272 5.107 0.000 0.000 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

173 181 166 211 0 1364 0 0 0

N.S.

1 1.05 0.96 1.22 0.00 7.88 0.00 0.00 0.00

time (sec)

N/A 0.401 0.781 0.442 0.000 12.718 0.000 0.000 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 136 146 171 0 1084 0 0 0

N.S.

1 0.99 1.07 1.25 0.00 7.91 0.00 0.00 0.00

time (sec)

N/A 0.309 0.416 0.362 0.000 0.964 0.000 0.000 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 96 101 0 357 0 74 0

N.S.

1 1.00 1.12 1.17 0.00 4.15 0.00 0.86 0.00

time (sec)

N/A 0.226 0.280 0.349 0.000 0.337 0.000 0.276 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 138 144 166 0 1097 0 0 0

N.S.

1 1.00 1.04 1.20 0.00 7.95 0.00 0.00 0.00

time (sec)

N/A 0.351 0.476 0.402 0.000 0.458 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

218 214 209 206 0 1414 0 207 0

N.S.

1 0.98 0.96 0.94 0.00 6.49 0.00 0.95 0.00

time (sec)

N/A 0.422 1.005 0.456 0.000 0.679 0.000 0.296 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

418 410 127 222 0 0 0 0 0

N.S.

1 0.98 0.30 0.53 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.605 10.208 1.890 0.000 0.000 0.000 0.000 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

247 268 99 134 0 0 0 0 0

N.S.

1 1.09 0.40 0.54 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.402 10.122 0.750 0.000 0.000 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

245 266 80 70 0 0 0 0 0

N.S.

1 1.09 0.33 0.29 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.388 10.072 0.643 0.000 0.000 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

399 427 147 178 0 0 0 0 0

N.S.

1 1.07 0.37 0.45 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.796 10.185 1.931 0.000 0.000 0.000 0.000 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

422 444 219 258 0 0 0 0 0

N.S.

1 1.05 0.52 0.61 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.981 10.181 3.456 0.000 0.000 0.000 0.000 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

236 269 251 365 0 4901 0 0 0

N.S.

1 1.14 1.06 1.55 0.00 20.77 0.00 0.00 0.00

time (sec)

N/A 0.563 0.938 0.586 0.000 37.451 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

167 168 180 229 0 1381 0 468 0

N.S.

1 1.01 1.08 1.37 0.00 8.27 0.00 2.80 0.00

time (sec)

N/A 0.362 0.643 0.437 0.000 0.543 0.000 0.306 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 162 178 216 0 1349 0 451 0

N.S.

1 1.02 1.12 1.36 0.00 8.48 0.00 2.84 0.00

time (sec)

N/A 0.339 0.699 0.432 0.000 0.582 0.000 0.293 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

166 167 182 223 0 1379 0 468 0

N.S.

1 1.01 1.10 1.34 0.00 8.31 0.00 2.82 0.00

time (sec)

N/A 0.331 0.904 0.395 0.000 0.558 0.000 0.282 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 268 247 285 0 4909 0 0 0

N.S.

1 1.01 0.93 1.07 0.00 18.45 0.00 0.00 0.00

time (sec)

N/A 0.539 1.139 0.677 0.000 2.444 0.000 0.000 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

419 416 363 413 0 6486 0 777 0

N.S.

1 0.99 0.87 0.99 0.00 15.48 0.00 1.85 0.00

time (sec)

N/A 0.660 1.681 0.945 0.000 5.173 0.000 0.480 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

449 459 199 246 0 0 0 0 0

N.S.

1 1.02 0.44 0.55 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.941 10.268 4.935 0.000 0.000 0.000 0.000 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

423 464 199 246 0 0 0 0 0

N.S.

1 1.10 0.47 0.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.847 9.675 2.516 0.000 0.000 0.000 0.000 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

422 455 199 244 0 0 0 0 0

N.S.

1 1.08 0.47 0.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.821 7.104 1.646 0.000 0.000 0.000 0.000 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

423 457 199 246 0 0 0 0 0

N.S.

1 1.08 0.47 0.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.849 6.996 1.274 0.000 0.000 0.000 0.000 0.000

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

422 459 199 246 0 0 0 0 0

N.S.

1 1.09 0.47 0.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.875 10.150 1.319 0.000 0.000 0.000 0.000 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

468 489 211 253 0 0 0 0 0

N.S.

1 1.04 0.45 0.54 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.222 10.208 1.975 0.000 0.000 0.000 0.000 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

406 397 475 473 0 5829 0 959 11195

N.S.

1 0.98 1.17 1.17 0.00 14.36 0.00 2.36 27.57

time (sec)

N/A 4.298 1.304 2.388 0.000 257.626 0.000 0.329 8.899

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

324 320 383 396 0 4182 0 776 8222

N.S.

1 0.99 1.18 1.22 0.00 12.91 0.00 2.40 25.38

time (sec)

N/A 2.095 0.979 0.870 0.000 102.891 0.000 0.322 8.681

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

292 303 350 316 0 2435 0 626 5705

N.S.

1 1.04 1.20 1.08 0.00 8.34 0.00 2.14 19.54

time (sec)

N/A 1.124 0.954 0.607 0.000 29.968 0.000 0.327 9.191

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

202 236 256 227 0 1085 0 449 717

N.S.

1 1.17 1.27 1.12 0.00 5.37 0.00 2.22 3.55

time (sec)

N/A 0.394 0.586 0.387 0.000 6.081 0.000 0.306 8.603

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

281 288 274 358 0 3126 0 724 10964

N.S.

1 1.02 0.98 1.27 0.00 11.12 0.00 2.58 39.02

time (sec)

N/A 0.920 0.636 0.465 0.000 49.740 0.000 0.313 11.487

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

382 388 348 364 0 6592 0 784 19959

N.S.

1 1.02 0.91 0.95 0.00 17.26 0.00 2.05 52.25

time (sec)

N/A 2.385 1.054 0.825 0.000 260.181 0.000 0.325 10.828

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

552 587 445 463 0 0 0 1057 33925

N.S.

1 1.06 0.81 0.84 0.00 0.00 0.00 1.91 61.46

time (sec)

N/A 2.154 1.700 1.153 0.000 0.000 0.000 0.346 11.971

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

390 388 786 360 0 6534 0 0 0

N.S.

1 0.99 2.02 0.92 0.00 16.75 0.00 0.00 0.00

time (sec)

N/A 1.840 1.010 2.623 0.000 14.868 0.000 0.000 0.000

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

324 326 7468 368 0 3260 0 0 0

N.S.

1 1.01 23.05 1.14 0.00 10.06 0.00 0.00 0.00

time (sec)

N/A 0.963 16.200 0.400 0.000 2.498 0.000 0.000 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

240 321 2607 233 0 985 0 0 0

N.S.

1 1.34 10.86 0.97 0.00 4.10 0.00 0.00 0.00

time (sec)

N/A 0.468 13.416 0.365 0.000 0.832 0.000 0.000 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

291 289 626 326 0 2402 0 0 0

N.S.

1 0.99 2.15 1.12 0.00 8.25 0.00 0.00 0.00

time (sec)

N/A 0.731 0.734 0.771 0.000 1.634 0.000 0.000 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

373 385 7477 398 0 4095 0 0 0

N.S.

1 1.03 20.05 1.07 0.00 10.98 0.00 0.00 0.00

time (sec)

N/A 1.594 16.384 0.906 0.000 6.508 0.000 0.000 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

512 521 10511 500 0 5773 0 0 0

N.S.

1 1.02 20.53 0.98 0.00 11.28 0.00 0.00 0.00

time (sec)

N/A 2.513 16.520 1.214 0.000 15.781 0.000 0.000 0.000

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

460 398 501 447 0 8200 0 867 16951

N.S.

1 0.87 1.09 0.97 0.00 17.83 0.00 1.88 36.85

time (sec)

N/A 0.932 1.763 0.849 0.000 249.643 0.000 0.389 9.376

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

327 310 373 335 0 4444 0 802 12392

N.S.

1 0.95 1.14 1.02 0.00 13.59 0.00 2.45 37.90

time (sec)

N/A 0.611 1.199 0.569 0.000 65.872 0.000 0.341 9.762

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

346 353 379 402 0 0 0 838 28434

N.S.

1 1.02 1.10 1.16 0.00 0.00 0.00 2.42 82.18

time (sec)

N/A 1.141 1.393 0.515 0.000 0.000 0.000 0.341 11.986

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

417 434 427 399 0 0 0 898 35855

N.S.

1 1.04 1.02 0.96 0.00 0.00 0.00 2.15 85.98

time (sec)

N/A 1.804 1.735 0.851 0.000 0.000 0.000 0.331 11.061

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

595 594 1407 460 0 19825 0 0 0

N.S.

1 1.00 2.36 0.77 0.00 33.32 0.00 0.00 0.00

time (sec)

N/A 2.088 2.301 1.366 0.000 290.822 0.000 0.000 0.000

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

491 496 916 394 0 11917 0 0 0

N.S.

1 1.01 1.87 0.80 0.00 24.27 0.00 0.00 0.00

time (sec)

N/A 1.180 1.380 0.753 0.000 54.072 0.000 0.000 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

487 522 8958 411 0 7721 0 0 0

N.S.

1 1.07 18.39 0.84 0.00 15.85 0.00 0.00 0.00

time (sec)

N/A 0.756 16.204 0.406 0.000 15.604 0.000 0.000 0.000

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

260 424 7491 347 0 4059 0 0 0

N.S.

1 1.63 28.81 1.33 0.00 15.61 0.00 0.00 0.00

time (sec)

N/A 0.892 16.330 0.936 0.000 7.918 0.000 0.000 0.000

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

523 529 1095 451 0 7830 0 0 0

N.S.

1 1.01 2.09 0.86 0.00 14.97 0.00 0.00 0.00

time (sec)

N/A 1.742 1.494 1.093 0.000 32.456 0.000 0.000 0.000

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

281 273 346 316 0 3615 0 4637 917

N.S.

1 0.97 1.23 1.12 0.00 12.86 0.00 16.50 3.26

time (sec)

N/A 3.175 0.793 1.055 0.000 3.733 0.000 1.153 8.337

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

229 240 285 228 0 2053 0 4060 776

N.S.

1 1.05 1.24 1.00 0.00 8.97 0.00 17.73 3.39

time (sec)

N/A 0.506 0.543 0.536 0.000 1.470 0.000 1.067 8.350

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

182 198 169 162 0 871 0 591 649

N.S.

1 1.09 0.93 0.89 0.00 4.79 0.00 3.25 3.57

time (sec)

N/A 0.346 0.233 0.452 0.000 0.755 0.000 1.569 8.300

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

241 230 264 271 0 1232 0 3639 669

N.S.

1 0.95 1.10 1.12 0.00 5.11 0.00 15.10 2.78

time (sec)

N/A 0.776 0.523 0.461 0.000 2.718 0.000 0.968 8.398

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

290 290 307 330 0 2799 0 1675 825

N.S.

1 1.00 1.06 1.14 0.00 9.65 0.00 5.78 2.84

time (sec)

N/A 1.331 1.454 0.669 0.000 7.499 0.000 1.569 8.241

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

325 323 588 250 0 2860 0 1710 1024

N.S.

1 0.99 1.81 0.77 0.00 8.80 0.00 5.26 3.15

time (sec)

N/A 2.031 0.639 2.124 0.000 1.303 0.000 1.418 8.238

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

263 262 412 262 0 1430 0 3580 870

N.S.

1 1.00 1.57 1.00 0.00 5.44 0.00 13.61 3.31

time (sec)

N/A 1.002 0.411 0.319 0.000 0.672 0.000 1.018 8.340

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

220 257 237 168 0 759 0 641 989

N.S.

1 1.17 1.08 0.76 0.00 3.45 0.00 2.91 4.50

time (sec)

N/A 0.391 0.299 0.392 0.000 0.352 0.000 1.076 8.272

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

265 263 471 239 0 1998 0 3965 1234

N.S.

1 0.99 1.78 0.90 0.00 7.54 0.00 14.96 4.66

time (sec)

N/A 0.658 0.451 0.735 0.000 0.492 0.000 0.853 8.169

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 96 199 100 0 318 0 209 383

N.S.

1 1.00 2.07 1.04 0.00 3.31 0.00 2.18 3.99

time (sec)

N/A 0.395 0.439 2.025 0.000 0.286 0.000 0.330 8.390

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

479 479 838 394 0 18271 0 0 0

N.S.

1 1.00 1.75 0.82 0.00 38.14 0.00 0.00 0.00

time (sec)

N/A 1.465 1.372 1.056 0.000 142.828 0.000 0.000 0.000

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

366 366 594 305 0 14654 0 0 0

N.S.

1 1.00 1.62 0.83 0.00 40.04 0.00 0.00 0.00

time (sec)

N/A 1.015 0.775 0.805 0.000 52.679 0.000 0.000 0.000

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

298 298 292 252 0 11094 0 0 0

N.S.

1 1.00 0.98 0.85 0.00 37.23 0.00 0.00 0.00

time (sec)

N/A 0.729 10.674 0.465 0.000 9.052 0.000 0.000 0.000

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

240 240 227 233 0 3395 0 0 0

N.S.

1 1.00 0.95 0.97 0.00 14.15 0.00 0.00 0.00

time (sec)

N/A 0.487 8.657 0.404 0.000 2.462 0.000 0.000 0.000

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

243 243 179 224 0 4557 0 0 0

N.S.

1 1.00 0.74 0.92 0.00 18.75 0.00 0.00 0.00

time (sec)

N/A 0.330 0.137 0.379 0.000 6.168 0.000 0.000 0.000

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

280 280 271 266 0 6431 0 0 0

N.S.

1 1.00 0.97 0.95 0.00 22.97 0.00 0.00 0.00

time (sec)

N/A 0.719 10.804 0.617 0.000 12.662 0.000 0.000 0.000

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

341 341 320 332 0 8187 0 0 0

N.S.

1 1.00 0.94 0.97 0.00 24.01 0.00 0.00 0.00

time (sec)

N/A 0.767 10.590 0.714 0.000 62.573 0.000 0.000 0.000

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

443 443 383 410 0 9998 0 0 0

N.S.

1 1.00 0.86 0.93 0.00 22.57 0.00 0.00 0.00

time (sec)

N/A 1.251 11.235 0.979 0.000 164.999 0.000 0.000 0.000

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

350 456 10546 502 0 0 0 0 0

N.S.

1 1.30 30.13 1.43 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.326 21.270 0.606 0.000 0.000 0.000 0.000 0.000

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

360 343 449 382 0 14462 0 0 0

N.S.

1 0.95 1.25 1.06 0.00 40.17 0.00 0.00 0.00

time (sec)

N/A 0.978 0.686 0.540 0.000 156.125 0.000 0.000 0.000

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

333 317 463 393 0 14146 0 0 0

N.S.

1 0.95 1.39 1.18 0.00 42.48 0.00 0.00 0.00

time (sec)

N/A 0.731 0.636 0.400 0.000 111.971 0.000 0.000 0.000

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

341 325 2061 429 0 17249 0 0 0

N.S.

1 0.95 6.04 1.26 0.00 50.58 0.00 0.00 0.00

time (sec)

N/A 0.746 18.246 0.413 0.000 217.475 0.000 0.000 0.000

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

339 410 2158 513 0 0 0 0 0

N.S.

1 1.21 6.37 1.51 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.602 17.538 1.137 0.000 0.000 0.000 0.000 0.000

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

419 543 2218 610 0 0 0 0 0

N.S.

1 1.30 5.29 1.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.452 17.822 1.315 0.000 0.000 0.000 0.000 0.000

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

243 243 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.462 0.000 0.000 0.000 0.000 0.000 0.000 0.000

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