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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 C C F F F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

497 497 359 112 0 0 0 0 0

N.S.

1 1.00 0.72 0.23 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.303 0.066 0.582 0.000 0.000 0.000 0.000 0.000

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

536 536 536 132 0 0 0 0 0

N.S.

1 1.00 1.00 0.25 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.611 0.579 0.654 0.000 0.000 0.000 0.000 0.000

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 91 95 98 102 117 134 183 104

N.S.

1 1.00 1.04 1.08 1.12 1.29 1.47 2.01 1.14

time (sec)

N/A 0.048 0.040 0.335 0.200 0.299 0.636 0.300 1.282

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 150 265 187 219 252 424 212

N.S.

1 1.00 1.25 2.21 1.56 1.82 2.10 3.53 1.77

time (sec)

N/A 0.083 0.099 0.457 0.222 0.328 4.497 0.312 1.285

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

149 149 226 428 284 336 410 770 352

N.S.

1 1.00 1.52 2.87 1.91 2.26 2.75 5.17 2.36

time (sec)

N/A 0.084 0.142 0.721 0.206 0.307 19.603 0.325 1.388

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

63 63 62 217 0 0 0 0 0

N.S.

1 1.00 0.98 3.44 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.071 0.011 0.242 0.000 0.000 0.000 0.000 0.000

Problem 307

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

74 74 57 127 86 95 333 88 84

N.S.

1 1.00 0.77 1.72 1.16 1.28 4.50 1.19 1.14

time (sec)

N/A 0.059 0.045 0.351 0.192 0.322 34.401 0.360 1.990

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 112 83 283 169 272 0 201 173

N.S.

1 1.00 0.74 2.53 1.51 2.43 0.00 1.79 1.54

time (sec)

N/A 0.083 0.061 0.612 0.205 0.330 0.000 0.345 1.717

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

247 247 247 220 298 0 0 0 0

N.S.

1 1.00 1.00 0.89 1.21 0.00 0.00 0.00 0.00

time (sec)

N/A 0.248 0.126 0.362 0.336 0.000 0.000 0.000 0.000

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

831 831 862 0 0 0 0 0 0

N.S.

1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.783 0.887 0.000 0.000 0.000 0.000 0.000 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

499 499 637 0 0 0 0 0 0

N.S.

1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.502 0.485 0.000 0.000 0.000 0.000 0.000 0.000

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

317 317 464 0 0 0 0 0 0

N.S.

1 1.00 1.46 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.268 0.318 0.000 0.000 0.000 0.000 0.000 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

397 397 576 0 0 0 0 0 0

N.S.

1 1.00 1.45 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.438 0.162 0.000 0.000 0.000 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

551 551 811 0 0 0 0 0 0

N.S.

1 1.00 1.47 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.630 0.351 0.000 0.000 0.000 0.000 0.000 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

701 701 821 0 0 0 0 0 0

N.S.

1 1.00 1.17 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.663 1.007 0.000 0.000 0.000 0.000 0.000 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

447 447 623 0 0 0 0 0 0

N.S.

1 1.00 1.39 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.420 0.687 0.000 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 F F F F(-1) F F(-1)

verified

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

size

371 371 485 0 0 0 0 0 0

N.S.

1 1.00 1.31 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.266 0.475 0.000 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 F F F F(-1) F F(-1)

verified

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

size

461 461 668 0 0 0 0 0 0

N.S.

1 1.00 1.45 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.426 0.529 0.000 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 F F F F(-1) F F(-1)

verified

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

size

694 694 930 0 0 0 0 0 0

N.S.

1 1.00 1.34 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.757 0.863 0.000 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 F F F F(-1) F F(-1)

verified

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

size

936 936 1254 0 0 0 0 0 0

N.S.

1 1.00 1.34 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.090 1.802 0.000 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 F F F F(-1) F F(-1)

verified

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

size

739 739 1103 0 0 0 0 0 0

N.S.

1 1.00 1.49 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.858 1.512 0.000 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 C C F F F(-1) F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

430 430 590 1231 0 0 0 0 0

N.S.

1 1.00 1.37 2.86 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.386 0.493 1.542 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 C F F F F(-1) F F(-1)

verified

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

size

814 814 1209 0 0 0 0 0 0

N.S.

1 1.00 1.49 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.907 1.267 0.000 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 C F F F F(-1) F F(-1)

verified

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

size

970 970 1391 0 0 0 0 0 0

N.S.

1 1.00 1.43 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.131 1.903 0.000 0.000 0.000 0.000 0.000 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

897 897 1237 0 0 0 0 0 0

N.S.

1 1.00 1.38 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.230 3.561 0.000 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 C F F F F(-1) F F(-1)

verified

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

size

815 815 1132 0 0 0 0 0 0

N.S.

1 1.00 1.39 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.099 3.069 0.000 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 F F F F(-1) F F(-1)

verified

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

size

821 821 1143 0 0 0 0 0 0

N.S.

1 1.00 1.39 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.589 3.375 0.000 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 F F F F(-1) F F(-1)

verified

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

size

919 919 1304 0 0 0 0 0 0

N.S.

1 1.00 1.42 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.184 3.683 0.000 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 F F(-2) F F F F(-1)

verified

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

size

477 477 754 0 0 0 0 0 0

N.S.

1 1.00 1.58 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.393 0.388 0.000 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 F F(-2) F F F F(-1)

verified

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

size

347 347 488 0 0 0 0 0 0

N.S.

1 1.00 1.41 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.239 0.253 0.000 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 A C F(-2) F F F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

229 229 178 392 0 0 0 0 0

N.S.

1 1.00 0.78 1.71 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.127 0.088 0.746 0.000 0.000 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

22 22 24 22 24 24 19 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.86 1.09 1.09

time (sec)

N/A 0.082 0.394 0.150 0.276 0.300 21.008 0.316 1.271

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 29 27 0 33 0 0 0

N.S.

1 1.00 1.07 1.00 0.00 1.22 0.00 0.00 0.00

time (sec)

N/A 0.090 0.019 2.548 0.000 0.350 0.000 0.000 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 29 27 0 33 0 0 0

N.S.

1 1.00 1.07 1.00 0.00 1.22 0.00 0.00 0.00

time (sec)

N/A 0.118 0.003 2.303 0.000 0.319 0.000 0.000 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 31 30 0 35 0 0 0

N.S.

1 1.00 1.11 1.07 0.00 1.25 0.00 0.00 0.00

time (sec)

N/A 0.089 0.018 2.878 0.000 0.328 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(-2) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 31 30 0 35 0 0 0

N.S.

1 1.00 1.11 1.07 0.00 1.25 0.00 0.00 0.00

time (sec)

N/A 0.126 0.003 2.796 0.000 0.306 0.000 0.000 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 27 20 120 21 0 0 19

N.S.

1 1.00 1.12 0.83 5.00 0.88 0.00 0.00 0.79

time (sec)

N/A 0.022 0.005 0.713 0.199 0.304 0.000 0.000 1.284

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 27 20 120 21 0 0 19

N.S.

1 1.00 1.12 0.83 5.00 0.88 0.00 0.00 0.79

time (sec)

N/A 0.091 0.002 0.831 0.211 0.291 0.000 0.000 1.203

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 252 24 246 34 0 0 0

N.S.

1 1.00 6.81 0.65 6.65 0.92 0.00 0.00 0.00

time (sec)

N/A 0.018 0.143 0.925 0.213 0.327 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 252 24 246 34 0 0 0

N.S.

1 1.00 9.33 0.89 9.11 1.26 0.00 0.00 0.00

time (sec)

N/A 0.052 0.122 0.938 0.210 0.327 0.000 0.000 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 259 24 243 34 0 0 0

N.S.

1 1.00 9.59 0.89 9.00 1.26 0.00 0.00 0.00

time (sec)

N/A 0.014 0.199 0.921 0.210 0.312 0.000 0.000 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 259 24 243 34 0 0 0

N.S.

1 1.00 9.59 0.89 9.00 1.26 0.00 0.00 0.00

time (sec)

N/A 0.089 0.135 0.955 0.206 0.309 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

238 238 494 1756 0 0 0 0 0

N.S.

1 1.00 2.08 7.38 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.255 0.144 2.022 0.000 0.000 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

168 168 292 761 0 0 0 0 0

N.S.

1 1.00 1.74 4.53 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.178 0.086 1.280 0.000 0.000 0.000 0.000 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 98 156 123 0 0 0 0

N.S.

1 1.00 1.01 1.61 1.27 0.00 0.00 0.00 0.00

time (sec)

N/A 0.089 0.020 0.700 0.237 0.000 0.000 0.000 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

24 24 26 24 26 26 19 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.79 1.08 1.08

time (sec)

N/A 0.075 0.423 0.154 0.262 0.307 0.976 0.304 1.168

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

500 500 993 0 0 0 0 0 0

N.S.

1 1.00 1.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.462 0.522 0.000 0.000 0.000 0.000 0.000 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

372 372 655 0 0 0 0 0 0

N.S.

1 1.00 1.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.268 0.371 0.000 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 A C F(-2) F F(-1) F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

243 243 194 616 0 0 0 0 0

N.S.

1 1.00 0.80 2.53 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.150 0.157 1.289 0.000 0.000 0.000 0.000 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 25 27 27 0 27 27

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.00 1.08 1.08

time (sec)

N/A 0.122 0.620 0.623 0.257 0.290 0.000 0.338 1.200

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

286 286 464 766 0 0 0 0 0

N.S.

1 1.00 1.62 2.68 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.293 0.458 1.212 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 A B F(-2) F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

234 234 434 543 0 0 0 0 0

N.S.

1 1.00 1.85 2.32 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.242 0.221 1.101 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 A B F(-2) F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 193 210 361 0 0 0 0 0

N.S.

1 1.00 1.09 1.87 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.124 0.095 1.053 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(-2) F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 153 144 169 0 0 0 0 0

N.S.

1 1.00 0.94 1.10 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.095 0.051 1.094 0.000 0.000 0.000 0.000 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 204 227 370 0 0 0 0 0

N.S.

1 1.00 1.11 1.81 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.195 0.160 1.066 0.000 0.000 0.000 0.000 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

251 251 255 552 0 0 0 0 0

N.S.

1 1.00 1.02 2.20 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.257 0.265 1.178 0.000 0.000 0.000 0.000 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

308 308 311 782 0 0 0 0 0

N.S.

1 1.00 1.01 2.54 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.338 0.320 1.155 0.000 0.000 0.000 0.000 0.000

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

232 232 221 1180 231 0 0 0 0

N.S.

1 1.00 0.95 5.09 1.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.148 0.144 78.149 0.232 0.000 0.000 0.000 0.000

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

195 195 197 1012 207 0 0 0 0

N.S.

1 1.00 1.01 5.19 1.06 0.00 0.00 0.00 0.00

time (sec)

N/A 0.123 0.131 32.940 0.246 0.000 0.000 0.000 0.000

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

158 158 164 843 178 0 0 0 0

N.S.

1 1.00 1.04 5.34 1.13 0.00 0.00 0.00 0.00

time (sec)

N/A 0.095 0.101 13.040 0.237 0.000 0.000 0.000 0.000

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

99 99 116 657 139 0 0 0 0

N.S.

1 1.00 1.17 6.64 1.40 0.00 0.00 0.00 0.00

time (sec)

N/A 0.064 0.077 5.247 0.235 0.000 0.000 0.000 0.000

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

88 88 128 756 0 0 0 0 0

N.S.

1 1.00 1.45 8.59 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.052 0.073 4.598 0.000 0.000 0.000 0.000 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

102 102 111 709 162 0 0 0 0

N.S.

1 1.00 1.09 6.95 1.59 0.00 0.00 0.00 0.00

time (sec)

N/A 0.052 0.098 5.356 0.252 0.000 0.000 0.000 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

156 156 204 901 198 0 0 0 0

N.S.

1 1.00 1.31 5.78 1.27 0.00 0.00 0.00 0.00

time (sec)

N/A 0.090 0.104 5.392 0.243 0.000 0.000 0.000 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

193 193 240 1070 229 0 0 0 0

N.S.

1 1.00 1.24 5.54 1.19 0.00 0.00 0.00 0.00

time (sec)

N/A 0.127 0.114 13.378 0.241 0.000 0.000 0.000 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

230 230 273 1237 253 0 0 0 0

N.S.

1 1.00 1.19 5.38 1.10 0.00 0.00 0.00 0.00

time (sec)

N/A 0.172 0.118 32.955 0.240 0.000 0.000 0.000 0.000

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

705 863 976 0 0 0 0 0 0

N.S.

1 1.22 1.38 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.332 0.287 0.000 0.000 0.000 0.000 0.000 0.000

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

602 602 825 0 0 0 0 0 0

N.S.

1 1.00 1.37 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.886 0.170 0.000 0.000 0.000 0.000 0.000 0.000

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

309 309 457 0 0 0 0 0 0

N.S.

1 1.00 1.48 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.321 0.178 0.000 0.000 0.000 0.000 0.000 0.000

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

823 0 823 0 0 0 0 0 0

N.S.

1 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.232 0.000 0.000 0.000 0.000 0.000 0.000

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

607 0 513 0 0 0 0 0 0

N.S.

1 0.00 0.85 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.471 0.000 0.000 0.000 0.000 0.000 0.000

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

939 0 781 0 0 0 0 0 0

N.S.

1 0.00 0.83 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.619 0.000 0.000 0.000 0.000 0.000 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

522 522 1163 0 0 0 0 0 0

N.S.

1 1.00 2.23 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.615 0.465 0.000 0.000 0.000 0.000 0.000 0.000

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

519 0 519 0 0 0 0 0 0

N.S.

1 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.071 0.000 0.000 0.000 0.000 0.000 0.000

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

23 23 25 23 25 25 20 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.87 1.09 1.09

time (sec)

N/A 0.008 0.049 0.038 0.302 0.308 2.757 0.323 1.213

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

23 23 25 23 108 45 22 25 25

N.S.

1 1.00 1.09 1.00 4.70 1.96 0.96 1.09 1.09

time (sec)

N/A 0.008 0.346 0.033 0.384 0.297 31.823 0.311 1.235

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 23 0 25 0 25 25

N.S.

1 1.00 1.09 1.00 0.00 1.09 0.00 1.09 1.09

time (sec)

N/A 0.007 0.066 0.049 0.000 0.296 0.000 0.452 1.305

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

364 364 394 0 0 0 0 0 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.035 0.043 0.000 0.000 0.000 0.000 0.000 0.000

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

258 258 205 354 274 329 384 741 323

N.S.

1 1.00 0.79 1.37 1.06 1.28 1.49 2.87 1.25

time (sec)

N/A 0.213 0.128 0.655 0.195 0.287 1.175 0.314 1.466

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

196 196 152 284 224 256 296 467 203

N.S.

1 1.00 0.78 1.45 1.14 1.31 1.51 2.38 1.04

time (sec)

N/A 0.182 0.079 0.565 0.204 0.294 0.646 0.315 1.453

Problem 381

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

110 110 76 116 165 156 189 209 102

N.S.

1 1.00 0.69 1.05 1.50 1.42 1.72 1.90 0.93

time (sec)

N/A 0.124 0.017 0.399 0.211 0.285 0.299 0.338 1.343

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

158 158 227 626 0 0 0 0 0

N.S.

1 1.00 1.44 3.96 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.166 0.074 0.757 0.000 0.000 0.000 0.000 0.000

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

96 96 180 517 0 0 0 0 0

N.S.

1 1.00 1.88 5.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.133 0.025 0.373 0.000 0.000 0.000 0.000 0.000

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

156 156 251 589 0 0 0 0 0

N.S.

1 1.00 1.61 3.78 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.220 0.086 0.389 0.000 0.000 0.000 0.000 0.000

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

234 234 327 642 0 0 0 0 0

N.S.

1 1.00 1.40 2.74 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.322 0.117 0.441 0.000 0.000 0.000 0.000 0.000

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

742 742 605 2094 0 0 0 0 0

N.S.

1 1.00 0.82 2.82 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.594 0.715 0.065 0.000 0.000 0.000 0.000 0.000

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

558 558 492 1724 0 0 0 0 0

N.S.

1 1.00 0.88 3.09 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.426 0.501 234.845 0.000 0.000 0.000 0.000 0.000

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

397 397 341 1372 0 0 0 0 0

N.S.

1 1.00 0.86 3.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.305 0.329 111.258 0.000 0.000 0.000 0.000 0.000

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

232 232 329 1012 0 0 0 0 0

N.S.

1 1.00 1.42 4.36 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.205 0.139 49.443 0.000 0.000 0.000 0.000 0.000

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

637 637 605 0 0 0 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.314 0.191 0.000 0.000 0.000 0.000 0.000 0.000

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

270 270 476 0 0 0 0 0 0

N.S.

1 1.00 1.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.233 0.159 0.000 0.000 0.000 0.000 0.000 0.000

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

421 421 765 0 0 0 0 0 0

N.S.

1 1.00 1.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.320 0.213 0.000 0.000 0.000 0.000 0.000 0.000

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

1210 1210 2067 0 0 0 0 0 0

N.S.

1 1.00 1.71 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.963 0.582 0.000 0.000 0.000 0.000 0.000 0.000

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

649 649 1355 0 0 0 0 0 0

N.S.

1 1.00 2.09 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.068 0.318 0.000 0.000 0.000 0.000 0.000 0.000

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

34 34 36 34 168 93 0 36 36

N.S.

1 1.00 1.06 1.00 4.94 2.74 0.00 1.06 1.06

time (sec)

N/A 0.025 0.664 0.098 0.464 0.360 0.000 0.367 1.881

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

34 34 36 34 207 93 0 36 36

N.S.

1 1.00 1.06 1.00 6.09 2.74 0.00 1.06 1.06

time (sec)

N/A 0.027 0.814 0.187 0.515 0.325 0.000 0.505 2.328

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

2050 2050 4971 0 0 0 0 0 0

N.S.

1 1.00 2.42 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 4.770 1.318 0.000 0.000 0.000 0.000 0.000 0.000

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

1147 1147 3163 0 0 0 0 0 0

N.S.

1 1.00 2.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.178 0.645 0.000 0.000 0.000 0.000 0.000 0.000

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

34 34 36 34 292 135 0 36 36

N.S.

1 1.00 1.06 1.00 8.59 3.97 0.00 1.06 1.06

time (sec)

N/A 0.025 1.454 0.108 0.513 0.309 0.000 0.601 2.791

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

34 34 36 34 335 135 0 36 36

N.S.

1 1.00 1.06 1.00 9.85 3.97 0.00 1.06 1.06

time (sec)

N/A 0.027 2.144 0.120 0.558 0.316 0.000 0.594 2.745

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