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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

218 184 173 200 0 443 0 536 0

N.S.

1 0.84 0.79 0.92 0.00 2.03 0.00 2.46 0.00

time (sec)

N/A 0.325 1.164 0.155 0.000 0.883 0.000 0.393 0.000

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

403 370 258 492 0 276 0 0 0

N.S.

1 0.92 0.64 1.22 0.00 0.68 0.00 0.00 0.00

time (sec)

N/A 0.566 2.517 5.142 0.000 0.123 0.000 0.000 0.000

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

312 294 212 351 0 185 0 0 0

N.S.

1 0.94 0.68 1.12 0.00 0.59 0.00 0.00 0.00

time (sec)

N/A 0.417 2.018 3.931 0.000 0.120 0.000 0.000 0.000

Problem 304

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

252 251 86 127 0 130 0 0 0

N.S.

1 1.00 0.34 0.50 0.00 0.52 0.00 0.00 0.00

time (sec)

N/A 0.339 1.038 1.146 0.000 0.110 0.000 0.000 0.000

Problem 305

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

289 284 111 297 0 156 0 0 0

N.S.

1 0.98 0.38 1.03 0.00 0.54 0.00 0.00 0.00

time (sec)

N/A 0.394 2.082 4.657 0.000 0.112 0.000 0.000 0.000

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

375 348 238 377 0 206 0 0 0

N.S.

1 0.93 0.63 1.01 0.00 0.55 0.00 0.00 0.00

time (sec)

N/A 0.509 2.415 6.213 0.000 0.109 0.000 0.000 0.000

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

354 289 247 318 0 781 0 0 0

N.S.

1 0.82 0.70 0.90 0.00 2.21 0.00 0.00 0.00

time (sec)

N/A 0.431 4.435 0.240 0.000 1.251 0.000 0.000 0.000

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

202 208 179 257 0 585 0 0 0

N.S.

1 1.03 0.89 1.27 0.00 2.90 0.00 0.00 0.00

time (sec)

N/A 0.413 2.612 0.205 0.000 0.702 0.000 0.000 0.000

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

146 113 138 234 0 443 0 0 0

N.S.

1 0.77 0.95 1.60 0.00 3.03 0.00 0.00 0.00

time (sec)

N/A 0.255 1.860 0.181 0.000 0.540 0.000 0.000 0.000

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

152 169 189 401 0 1293 0 0 0

N.S.

1 1.11 1.24 2.64 0.00 8.51 0.00 0.00 0.00

time (sec)

N/A 0.371 2.092 0.143 0.000 0.906 0.000 0.000 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

170 113 148 242 0 469 0 0 0

N.S.

1 0.66 0.87 1.42 0.00 2.76 0.00 0.00 0.00

time (sec)

N/A 0.300 2.515 0.205 0.000 1.292 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(-1) F(-2) F(-1)

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

255 209 189 274 0 613 0 0 0

N.S.

1 0.82 0.74 1.07 0.00 2.40 0.00 0.00 0.00

time (sec)

N/A 0.417 4.200 0.227 0.000 3.953 0.000 0.000 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

453 406 271 780 0 425 0 0 0

N.S.

1 0.90 0.60 1.72 0.00 0.94 0.00 0.00 0.00

time (sec)

N/A 0.652 5.549 9.940 0.000 0.121 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

378 344 219 643 0 305 0 0 0

N.S.

1 0.91 0.58 1.70 0.00 0.81 0.00 0.00 0.00

time (sec)

N/A 0.485 4.909 8.864 0.000 0.116 0.000 0.000 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

327 306 203 514 0 251 0 0 0

N.S.

1 0.94 0.62 1.57 0.00 0.77 0.00 0.00 0.00

time (sec)

N/A 0.412 1.317 3.379 0.000 0.107 0.000 0.000 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

380 360 223 650 0 269 0 0 0

N.S.

1 0.95 0.59 1.71 0.00 0.71 0.00 0.00 0.00

time (sec)

N/A 0.550 5.132 8.116 0.000 0.105 0.000 0.000 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

444 412 266 866 0 374 0 0 0

N.S.

1 0.93 0.60 1.95 0.00 0.84 0.00 0.00 0.00

time (sec)

N/A 0.634 5.653 8.749 0.000 0.104 0.000 0.000 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

216 203 145 237 328 423 0 218 0

N.S.

1 0.94 0.67 1.10 1.52 1.96 0.00 1.01 0.00

time (sec)

N/A 0.417 0.231 0.233 0.290 0.330 0.000 0.394 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

141 144 107 193 218 325 0 158 0

N.S.

1 1.02 0.76 1.37 1.55 2.30 0.00 1.12 0.00

time (sec)

N/A 0.345 0.141 0.117 0.295 0.315 0.000 0.416 0.000

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 66 85 137 126 267 0 123 120

N.S.

1 0.96 1.23 1.99 1.83 3.87 0.00 1.78 1.74

time (sec)

N/A 0.201 0.094 0.155 0.290 0.290 0.000 0.431 17.767

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 104 102 235 159 927 0 0 0

N.S.

1 1.08 1.06 2.45 1.66 9.66 0.00 0.00 0.00

time (sec)

N/A 0.363 0.151 0.100 0.285 0.349 0.000 0.000 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

104 109 110 189 156 433 0 281 0

N.S.

1 1.05 1.06 1.82 1.50 4.16 0.00 2.70 0.00

time (sec)

N/A 0.312 0.219 0.145 0.298 0.334 0.000 0.387 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

174 184 152 239 322 577 0 713 0

N.S.

1 1.06 0.87 1.37 1.85 3.32 0.00 4.10 0.00

time (sec)

N/A 0.388 0.277 0.167 0.298 0.421 0.000 0.426 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

265 263 216 317 557 755 0 1414 0

N.S.

1 0.99 0.82 1.20 2.10 2.85 0.00 5.34 0.00

time (sec)

N/A 0.476 0.402 0.185 0.314 0.643 0.000 0.421 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

368 403 294 665 0 238 0 0 0

N.S.

1 1.10 0.80 1.81 0.00 0.65 0.00 0.00 0.00

time (sec)

N/A 0.704 10.064 6.524 0.000 0.094 0.000 0.000 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

282 329 243 406 0 166 0 0 0

N.S.

1 1.17 0.86 1.44 0.00 0.59 0.00 0.00 0.00

time (sec)

N/A 0.522 9.204 5.922 0.000 0.109 0.000 0.000 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

213 281 98 199 0 148 0 0 0

N.S.

1 1.32 0.46 0.93 0.00 0.69 0.00 0.00 0.00

time (sec)

N/A 0.401 8.869 1.155 0.000 0.098 0.000 0.000 0.000

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

265 328 136 272 0 196 0 0 0

N.S.

1 1.24 0.51 1.03 0.00 0.74 0.00 0.00 0.00

time (sec)

N/A 0.510 9.541 6.061 0.000 0.098 0.000 0.000 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

362 394 307 569 0 292 0 0 0

N.S.

1 1.09 0.85 1.57 0.00 0.81 0.00 0.00 0.00

time (sec)

N/A 0.634 10.739 6.997 0.000 0.105 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

466 493 400 778 0 411 0 0 0

N.S.

1 1.06 0.86 1.67 0.00 0.88 0.00 0.00 0.00

time (sec)

N/A 0.775 11.323 7.868 0.000 0.128 0.000 0.000 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

249 236 150 295 368 427 0 517 0

N.S.

1 0.95 0.60 1.18 1.48 1.71 0.00 2.08 0.00

time (sec)

N/A 0.485 0.242 0.215 0.306 0.411 0.000 0.802 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

172 175 113 242 247 335 0 475 0

N.S.

1 1.02 0.66 1.41 1.44 1.95 0.00 2.76 0.00

time (sec)

N/A 0.391 0.171 0.184 0.303 0.346 0.000 0.738 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 90 87 187 156 269 0 381 61

N.S.

1 0.96 0.93 1.99 1.66 2.86 0.00 4.05 0.65

time (sec)

N/A 0.218 0.108 0.209 0.297 0.350 0.000 0.716 18.034

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 140 139 652 201 1073 0 0 0

N.S.

1 1.11 1.10 5.17 1.60 8.52 0.00 0.00 0.00

time (sec)

N/A 0.402 0.213 0.127 0.299 0.402 0.000 0.000 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

138 122 124 251 202 404 0 0 0

N.S.

1 0.88 0.90 1.82 1.46 2.93 0.00 0.00 0.00

time (sec)

N/A 0.331 0.207 0.191 0.292 0.393 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

205 212 153 274 313 557 0 0 0

N.S.

1 1.03 0.75 1.34 1.53 2.72 0.00 0.00 0.00

time (sec)

N/A 0.447 0.228 0.227 0.312 0.621 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 F(-1)

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

292 297 226 371 534 733 0 0 0

N.S.

1 1.02 0.77 1.27 1.83 2.51 0.00 0.00 0.00

time (sec)

N/A 0.566 0.565 0.263 0.316 0.884 0.000 0.000 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

405 434 312 1065 0 233 0 0 0

N.S.

1 1.07 0.77 2.63 0.00 0.58 0.00 0.00 0.00

time (sec)

N/A 0.778 10.628 11.572 0.000 0.108 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

331 371 256 820 0 204 0 0 0

N.S.

1 1.12 0.77 2.48 0.00 0.62 0.00 0.00 0.00

time (sec)

N/A 0.606 10.419 9.350 0.000 0.094 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

260 325 229 515 0 160 0 0 0

N.S.

1 1.25 0.88 1.98 0.00 0.62 0.00 0.00 0.00

time (sec)

N/A 0.475 10.415 3.373 0.000 0.108 0.000 0.000 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

312 393 270 873 0 251 0 0 0

N.S.

1 1.26 0.87 2.80 0.00 0.80 0.00 0.00 0.00

time (sec)

N/A 0.648 10.447 9.403 0.000 0.109 0.000 0.000 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

388 440 352 1037 0 284 0 0 0

N.S.

1 1.13 0.91 2.67 0.00 0.73 0.00 0.00 0.00

time (sec)

N/A 0.769 10.923 10.724 0.000 0.121 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

494 521 472 1170 0 393 0 0 0

N.S.

1 1.05 0.96 2.37 0.00 0.80 0.00 0.00 0.00

time (sec)

N/A 0.931 11.228 11.584 0.000 0.106 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

225 227 148 239 340 425 0 225 0

N.S.

1 1.01 0.66 1.06 1.51 1.89 0.00 1.00 0.00

time (sec)

N/A 0.419 0.233 0.143 0.292 0.304 0.000 0.389 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

148 146 108 195 223 333 0 166 0

N.S.

1 0.99 0.73 1.32 1.51 2.25 0.00 1.12 0.00

time (sec)

N/A 0.335 0.143 0.115 0.283 0.306 0.000 0.388 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 68 88 134 129 267 0 128 111

N.S.

1 0.94 1.22 1.86 1.79 3.71 0.00 1.78 1.54

time (sec)

N/A 0.204 0.099 1.023 0.302 0.293 0.000 0.370 18.016

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 104 101 313 155 972 0 0 0

N.S.

1 1.08 1.05 3.26 1.61 10.12 0.00 0.00 0.00

time (sec)

N/A 0.331 0.124 0.084 0.303 0.364 0.000 0.000 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

108 113 114 197 173 451 0 292 0

N.S.

1 1.05 1.06 1.82 1.60 4.18 0.00 2.70 0.00

time (sec)

N/A 0.308 0.228 0.138 0.298 0.356 0.000 0.405 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

177 188 149 236 359 593 0 778 0

N.S.

1 1.06 0.84 1.33 2.03 3.35 0.00 4.40 0.00

time (sec)

N/A 0.375 0.259 0.174 0.300 0.400 0.000 0.407 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

443 413 298 664 0 240 0 0 0

N.S.

1 0.93 0.67 1.50 0.00 0.54 0.00 0.00 0.00

time (sec)

N/A 0.701 8.775 8.058 0.000 0.110 0.000 0.000 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

354 335 248 409 0 168 0 0 0

N.S.

1 0.95 0.70 1.16 0.00 0.47 0.00 0.00 0.00

time (sec)

N/A 0.526 7.620 5.995 0.000 0.101 0.000 0.000 0.000

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

286 287 107 164 0 127 0 0 0

N.S.

1 1.00 0.37 0.57 0.00 0.44 0.00 0.00 0.00

time (sec)

N/A 0.404 7.333 1.148 0.000 0.102 0.000 0.000 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

343 329 151 345 0 239 0 0 0

N.S.

1 0.96 0.44 1.01 0.00 0.70 0.00 0.00 0.00

time (sec)

N/A 0.508 8.738 6.062 0.000 0.101 0.000 0.000 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

435 402 299 568 0 297 0 0 0

N.S.

1 0.92 0.69 1.31 0.00 0.68 0.00 0.00 0.00

time (sec)

N/A 0.621 9.846 7.003 0.000 0.108 0.000 0.000 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

310 254 183 303 389 675 0 663 0

N.S.

1 0.82 0.59 0.98 1.25 2.18 0.00 2.14 0.00

time (sec)

N/A 0.430 0.330 0.227 0.302 0.408 0.000 0.682 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

187 170 144 248 262 541 0 552 0

N.S.

1 0.91 0.77 1.33 1.40 2.89 0.00 2.95 0.00

time (sec)

N/A 0.420 0.232 0.198 0.300 0.359 0.000 0.610 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

100 99 114 217 161 395 0 0 61

N.S.

1 0.99 1.14 2.17 1.61 3.95 0.00 0.00 0.61

time (sec)

N/A 0.225 0.129 1.135 0.287 0.343 0.000 0.000 18.323

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

134 137 140 1015 201 1477 0 0 0

N.S.

1 1.02 1.04 7.57 1.50 11.02 0.00 0.00 0.00

time (sec)

N/A 0.392 0.415 0.129 0.295 0.471 0.000 0.000 0.000

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

146 112 148 244 247 599 0 0 0

N.S.

1 0.77 1.01 1.67 1.69 4.10 0.00 0.00 0.00

time (sec)

N/A 0.358 0.239 0.211 0.305 0.392 0.000 0.000 0.000

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

212 199 192 279 450 961 0 0 0

N.S.

1 0.94 0.91 1.32 2.12 4.53 0.00 0.00 0.00

time (sec)

N/A 0.444 0.333 0.248 0.318 0.733 0.000 0.000 0.000

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

482 450 296 879 0 436 0 0 0

N.S.

1 0.93 0.61 1.82 0.00 0.90 0.00 0.00 0.00

time (sec)

N/A 0.815 10.611 11.979 0.000 0.120 0.000 0.000 0.000

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

409 386 253 667 0 326 0 0 0

N.S.

1 0.94 0.62 1.63 0.00 0.80 0.00 0.00 0.00

time (sec)

N/A 0.619 10.409 9.204 0.000 0.115 0.000 0.000 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

356 339 240 466 0 327 0 0 0

N.S.

1 0.95 0.67 1.31 0.00 0.92 0.00 0.00 0.00

time (sec)

N/A 0.475 10.434 3.383 0.000 0.118 0.000 0.000 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

410 405 261 685 0 432 0 0 0

N.S.

1 0.99 0.64 1.67 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 0.626 10.513 11.043 0.000 0.108 0.000 0.000 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

490 470 306 1080 0 601 0 0 0

N.S.

1 0.96 0.62 2.20 0.00 1.23 0.00 0.00 0.00

time (sec)

N/A 0.767 10.788 10.811 0.000 0.121 0.000 0.000 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 67 59 48 0 169 0 113 0

N.S.

1 0.89 0.79 0.64 0.00 2.25 0.00 1.51 0.00

time (sec)

N/A 0.196 0.018 1.023 0.000 0.349 0.000 0.394 0.000

Problem 367

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

50 44 52 40 0 153 0 68 0

N.S.

1 0.88 1.04 0.80 0.00 3.06 0.00 1.36 0.00

time (sec)

N/A 0.180 0.010 0.957 0.000 0.367 0.000 0.373 0.000

Problem 368

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

24 24 34 17 0 98 0 58 0

N.S.

1 1.00 1.42 0.71 0.00 4.08 0.00 2.42 0.00

time (sec)

N/A 0.161 0.006 0.955 0.000 0.360 0.000 0.322 0.000

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 23 18 41 17 0 28 17

N.S.

1 1.00 1.00 0.78 1.78 0.74 0.00 1.22 0.74

time (sec)

N/A 0.142 0.004 0.921 0.298 0.294 0.000 0.335 18.648

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 52 30 25 50 25 0 0 29

N.S.

1 1.06 0.61 0.51 1.02 0.51 0.00 0.00 0.59

time (sec)

N/A 0.162 0.006 0.899 0.283 0.282 0.000 0.000 17.851

Problem 371

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

37 26 23 18 26 29 0 29 0

N.S.

1 0.70 0.62 0.49 0.70 0.78 0.00 0.78 0.00

time (sec)

N/A 0.150 0.041 2.069 0.271 0.297 0.000 0.306 0.000

Problem 372

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

37 26 23 18 26 29 0 29 0

N.S.

1 0.70 0.62 0.49 0.70 0.78 0.00 0.78 0.00

time (sec)

N/A 0.153 0.001 1.483 0.275 0.340 0.000 0.315 0.000

Problem 373

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

71 37 34 29 40 41 0 42 0

N.S.

1 0.52 0.48 0.41 0.56 0.58 0.00 0.59 0.00

time (sec)

N/A 0.167 0.043 1.492 0.270 0.307 0.000 0.320 0.000

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 49 42 37 42 256 0 48 0

N.S.

1 1.00 0.86 0.76 0.86 5.22 0.00 0.98 0.00

time (sec)

N/A 0.167 0.049 0.934 0.268 0.286 0.000 0.340 0.000

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 49 42 37 42 256 0 48 0

N.S.

1 1.00 0.86 0.76 0.86 5.22 0.00 0.98 0.00

time (sec)

N/A 0.173 0.003 0.938 0.279 0.320 0.000 0.324 0.000

Problem 376

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

44 37 30 26 32 127 0 43 0

N.S.

1 0.84 0.68 0.59 0.73 2.89 0.00 0.98 0.00

time (sec)

N/A 0.156 0.023 1.309 0.279 0.290 0.000 0.343 0.000

Problem 377

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

44 34 42 27 0 42 0 27 0

N.S.

1 0.77 0.95 0.61 0.00 0.95 0.00 0.61 0.00

time (sec)

N/A 0.144 0.034 0.893 0.000 0.267 0.000 0.318 0.000

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 77 43 22 0 31 0 0 0

N.S.

1 0.93 0.52 0.27 0.00 0.37 0.00 0.00 0.00

time (sec)

N/A 0.175 10.018 0.977 0.000 0.088 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 A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 22 19 19 18 17 19 19

N.S.

1 1.00 1.00 0.86 0.86 0.82 0.77 0.86 0.86

time (sec)

N/A 0.137 0.005 0.893 0.272 0.302 0.123 0.339 16.433

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 163 27 20 0 12 36 0 0

N.S.

1 1.24 0.21 0.15 0.00 0.09 0.27 0.00 0.00

time (sec)

N/A 0.255 10.020 0.925 0.000 0.078 0.532 0.000 0.000

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 27 22 0 9 0 0 0

N.S.

1 1.00 0.50 0.41 0.00 0.17 0.00 0.00 0.00

time (sec)

N/A 0.157 10.020 0.957 0.000 0.083 0.000 0.000 0.000

Problem 382

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

22 22 22 19 0 76 0 30 0

N.S.

1 1.00 1.00 0.86 0.00 3.45 0.00 1.36 0.00

time (sec)

N/A 0.148 0.018 0.864 0.000 0.306 0.000 0.329 0.000

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 139 27 22 0 30 0 0 0

N.S.

1 0.87 0.17 0.14 0.00 0.19 0.00 0.00 0.00

time (sec)

N/A 0.236 10.017 1.020 0.000 0.089 0.000 0.000 0.000

Problem 384

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

21 21 21 18 23 30 0 22 18

N.S.

1 1.00 1.00 0.86 1.10 1.43 0.00 1.05 0.86

time (sec)

N/A 0.133 0.022 0.921 0.278 0.298 0.000 0.332 16.616

Problem 385

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

25 25 25 20 28 19 0 12 20

N.S.

1 1.00 1.00 0.80 1.12 0.76 0.00 0.48 0.80

time (sec)

N/A 0.134 0.006 0.892 0.288 0.281 0.000 0.319 16.785

Problem 386

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

292 292 29 22 0 0 0 0 0

N.S.

1 1.00 0.10 0.08 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.391 10.023 2.305 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 C C F C F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

260 252 29 22 0 19 0 0 0

N.S.

1 0.97 0.11 0.08 0.00 0.07 0.00 0.00 0.00

time (sec)

N/A 0.324 10.018 1.105 0.000 0.088 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 A B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 32 15 0 85 14 35 0

N.S.

1 1.00 1.39 0.65 0.00 3.70 0.61 1.52 0.00

time (sec)

N/A 0.167 0.212 1.915 0.000 0.320 0.524 0.322 0.000

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 116 27 22 0 11 0 0 0

N.S.

1 1.00 0.23 0.19 0.00 0.09 0.00 0.00 0.00

time (sec)

N/A 0.224 10.025 1.771 0.000 0.080 0.000 0.000 0.000

Problem 390

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

24 24 24 19 0 68 0 31 0

N.S.

1 1.00 1.00 0.79 0.00 2.83 0.00 1.29 0.00

time (sec)

N/A 0.154 0.004 0.909 0.000 0.299 0.000 0.363 0.000

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

312 310 27 22 0 14 0 0 0

N.S.

1 0.99 0.09 0.07 0.00 0.04 0.00 0.00 0.00

time (sec)

N/A 0.426 10.013 2.239 0.000 0.094 0.000 0.000 0.000

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

281 271 27 22 0 37 0 0 0

N.S.

1 0.96 0.10 0.08 0.00 0.13 0.00 0.00 0.00

time (sec)

N/A 0.328 10.015 1.194 0.000 0.094 0.000 0.000 0.000

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 37 36 0 0 0 0 0

N.S.

1 1.00 1.00 0.97 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.169 0.030 1.086 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 A A F F(-2) F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 62 40 35 0 0 0 0 0

N.S.

1 1.29 0.83 0.73 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.175 0.028 0.957 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 A A F F(-2) F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 66 44 37 0 0 0 0 0

N.S.

1 1.27 0.85 0.71 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.177 0.030 1.072 0.000 0.000 0.000 0.000 0.000

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 80 33 30 18 0 0 0 43

N.S.

1 2.35 0.97 0.88 0.53 0.00 0.00 0.00 1.26

time (sec)

N/A 0.205 0.054 0.956 0.243 0.000 0.000 0.000 16.697

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 114 106 191 0 274 0 0 0

N.S.

1 1.00 0.93 1.68 0.00 2.40 0.00 0.00 0.00

time (sec)

N/A 0.226 2.793 1.036 0.000 0.136 0.000 0.000 0.000

Problem 398

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

16 16 16 17 17 20 29 20 16

N.S.

1 1.00 1.00 1.06 1.06 1.25 1.81 1.25 1.00

time (sec)

N/A 0.145 0.004 0.064 0.199 0.280 0.399 0.309 17.502

Problem 399

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

26 26 26 27 32 32 112 32 26

N.S.

1 1.00 1.00 1.04 1.23 1.23 4.31 1.23 1.00

time (sec)

N/A 0.152 0.006 0.714 0.212 0.306 11.021 0.339 16.726

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 36 37 44 44 0 44 36

N.S.

1 1.00 1.00 1.03 1.22 1.22 0.00 1.22 1.00

time (sec)

N/A 0.157 0.009 49.960 0.239 0.268 0.000 0.324 16.584

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