2.2.14 Integrals 1301 to 1400

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 1301

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

106 106 95 99 106 106 124 114 98

N.S.

1 1.00 0.90 0.93 1.00 1.00 1.17 1.08 0.92

time (sec)

N/A 0.306 0.029 0.247 0.191 0.239 0.026 0.252 10.602

Problem 1302

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

45 45 60 51 50 50 58 50 50

N.S.

1 1.00 1.33 1.13 1.11 1.11 1.29 1.11 1.11

time (sec)

N/A 0.184 0.002 0.221 0.205 0.245 0.022 0.259 0.025

Problem 1303

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

169 169 174 224 242 243 207 258 260

N.S.

1 1.00 1.03 1.33 1.43 1.44 1.22 1.53 1.54

time (sec)

N/A 0.405 0.064 0.254 0.203 0.253 0.298 0.264 0.067

Problem 1304

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

180 180 175 233 249 354 246 328 311

N.S.

1 1.00 0.97 1.29 1.38 1.97 1.37 1.82 1.73

time (sec)

N/A 0.414 0.100 0.247 0.214 0.272 0.560 0.278 0.089

Problem 1305

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

185 185 174 233 258 394 282 251 275

N.S.

1 1.00 0.94 1.26 1.39 2.13 1.52 1.36 1.49

time (sec)

N/A 0.414 0.102 0.250 0.200 0.256 1.353 0.270 10.496

Problem 1306

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

189 189 232 233 270 411 294 251 268

N.S.

1 1.00 1.23 1.23 1.43 2.17 1.56 1.33 1.42

time (sec)

N/A 0.425 0.073 0.255 0.207 0.271 4.166 0.267 10.411

Problem 1307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

189 189 221 240 279 405 304 373 277

N.S.

1 1.00 1.17 1.27 1.48 2.14 1.61 1.97 1.47

time (sec)

N/A 0.394 0.071 0.254 0.211 0.289 59.710 0.275 10.491

Problem 1308

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

197 197 212 234 298 365 0 252 243

N.S.

1 1.00 1.08 1.19 1.51 1.85 0.00 1.28 1.23

time (sec)

N/A 0.398 0.071 0.274 0.220 0.269 0.000 0.272 10.597

Problem 1309

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

204 204 198 219 292 292 0 254 273

N.S.

1 1.00 0.97 1.07 1.43 1.43 0.00 1.25 1.34

time (sec)

N/A 0.383 0.060 0.250 0.227 0.272 0.000 0.260 0.112

Problem 1310

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

206 206 202 233 317 317 0 258 299

N.S.

1 1.00 0.98 1.13 1.54 1.54 0.00 1.25 1.45

time (sec)

N/A 0.394 0.063 0.253 0.206 0.274 0.000 0.262 10.627

Problem 1311

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

206 206 202 233 328 328 0 258 310

N.S.

1 1.00 0.98 1.13 1.59 1.59 0.00 1.25 1.50

time (sec)

N/A 0.380 0.062 0.260 0.212 0.265 0.000 0.273 0.118

Problem 1312

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

206 206 202 233 339 339 0 258 321

N.S.

1 1.00 0.98 1.13 1.65 1.65 0.00 1.25 1.56

time (sec)

N/A 0.385 0.071 0.247 0.211 0.293 0.000 0.266 10.629

Problem 1313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

334 334 542 557 584 584 694 658 542

N.S.

1 1.00 1.62 1.67 1.75 1.75 2.08 1.97 1.62

time (sec)

N/A 0.841 0.133 0.265 0.215 0.287 0.057 0.263 10.778

Problem 1314

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

334 334 436 455 478 478 564 536 438

N.S.

1 1.00 1.31 1.36 1.43 1.43 1.69 1.60 1.31

time (sec)

N/A 0.731 0.083 0.253 0.202 0.262 0.048 0.266 0.217

Problem 1315

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

334 334 323 353 363 363 435 411 317

N.S.

1 1.00 0.97 1.06 1.09 1.09 1.30 1.23 0.95

time (sec)

N/A 0.647 0.063 0.256 0.222 0.260 0.043 0.267 0.176

Problem 1316

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

334 334 238 251 262 262 306 287 227

N.S.

1 1.00 0.71 0.75 0.78 0.78 0.92 0.86 0.68

time (sec)

N/A 0.607 0.040 0.262 0.196 0.256 0.039 0.265 10.626

Problem 1317

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

148 148 135 143 154 154 182 165 140

N.S.

1 1.00 0.91 0.97 1.04 1.04 1.23 1.11 0.95

time (sec)

N/A 0.404 0.034 0.240 0.192 0.243 0.032 0.277 0.068

Problem 1318

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 55 85 74 73 73 85 73 73

N.S.

1 0.98 1.52 1.32 1.30 1.30 1.52 1.30 1.30

time (sec)

N/A 0.197 0.002 0.220 0.190 0.234 0.026 0.262 0.032

Problem 1319

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

290 290 311 414 447 448 410 488 494

N.S.

1 1.00 1.07 1.43 1.54 1.54 1.41 1.68 1.70

time (sec)

N/A 0.619 0.110 0.254 0.200 0.249 0.476 0.271 0.079

Problem 1320

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

309 309 405 433 456 621 454 563 826

N.S.

1 1.00 1.31 1.40 1.48 2.01 1.47 1.82 2.67

time (sec)

N/A 0.655 0.117 0.240 0.197 0.257 0.938 0.306 10.606

Problem 1321

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

300 300 414 425 464 691 490 469 681

N.S.

1 1.00 1.38 1.42 1.55 2.30 1.63 1.56 2.27

time (sec)

N/A 0.620 0.132 0.256 0.197 0.282 2.468 0.264 0.147

Problem 1322

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

310 310 294 431 478 732 530 464 548

N.S.

1 1.00 0.95 1.39 1.54 2.36 1.71 1.50 1.77

time (sec)

N/A 0.643 0.085 0.262 0.204 0.276 47.395 0.263 10.672

Problem 1323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

314 314 405 432 487 746 0 653 501

N.S.

1 1.00 1.29 1.38 1.55 2.38 0.00 2.08 1.60

time (sec)

N/A 0.627 0.134 0.256 0.206 0.271 0.000 0.271 10.727

Problem 1324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

313 313 388 433 499 730 0 458 494

N.S.

1 1.00 1.24 1.38 1.59 2.33 0.00 1.46 1.58

time (sec)

N/A 0.606 0.129 0.292 0.212 0.272 0.000 0.269 0.164

Problem 1325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

320 320 377 435 511 695 0 454 505

N.S.

1 1.00 1.18 1.36 1.60 2.17 0.00 1.42 1.58

time (sec)

N/A 0.593 0.133 0.269 0.211 0.263 0.000 0.260 10.765

Problem 1326

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

327 327 366 426 527 624 0 459 448

N.S.

1 1.00 1.12 1.30 1.61 1.91 0.00 1.40 1.37

time (sec)

N/A 0.588 0.130 0.283 0.225 0.277 0.000 0.264 10.792

Problem 1327

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

330 330 357 422 532 532 0 488 570

N.S.

1 1.00 1.08 1.28 1.61 1.61 0.00 1.48 1.73

time (sec)

N/A 0.576 0.118 0.263 0.221 0.276 0.000 0.260 0.157

Problem 1328

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

334 334 359 425 546 546 0 488 513

N.S.

1 1.00 1.07 1.27 1.63 1.63 0.00 1.46 1.54

time (sec)

N/A 0.570 0.113 0.254 0.225 0.263 0.000 0.266 10.702

Problem 1329

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

334 334 357 425 557 557 0 488 524

N.S.

1 1.00 1.07 1.27 1.67 1.67 0.00 1.46 1.57

time (sec)

N/A 0.585 0.129 0.267 0.223 0.262 0.000 0.272 10.852

Problem 1330

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

240 240 217 232 230 550 908 257 249

N.S.

1 1.00 0.90 0.97 0.96 2.29 3.78 1.07 1.04

time (sec)

N/A 0.448 0.159 0.399 0.280 0.276 2.863 0.265 0.243

Problem 1331

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

167 167 151 164 160 398 641 171 175

N.S.

1 1.00 0.90 0.98 0.96 2.38 3.84 1.02 1.05

time (sec)

N/A 0.340 0.101 0.365 0.281 0.261 1.030 0.258 10.811

Problem 1332

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

108 108 99 97 100 235 425 102 114

N.S.

1 1.00 0.92 0.90 0.93 2.18 3.94 0.94 1.06

time (sec)

N/A 0.264 0.061 0.347 0.277 0.276 0.731 0.260 0.144

Problem 1333

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

64 64 65 61 56 147 212 56 75

N.S.

1 1.00 1.02 0.95 0.88 2.30 3.31 0.88 1.17

time (sec)

N/A 0.217 0.036 0.292 0.273 0.254 0.383 0.265 10.739

Problem 1334

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

42 42 42 32 31 98 124 31 32

N.S.

1 1.00 1.00 0.76 0.74 2.33 2.95 0.74 0.76

time (sec)

N/A 0.162 0.012 0.267 0.288 0.255 0.125 0.270 0.050

Problem 1335

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

109 109 91 92 98 200 0 103 535

N.S.

1 1.00 0.83 0.84 0.90 1.83 0.00 0.94 4.91

time (sec)

N/A 0.273 0.041 0.362 0.283 0.796 0.000 0.271 12.241

Problem 1336

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

173 173 148 157 216 562 0 237 810

N.S.

1 1.00 0.86 0.91 1.25 3.25 0.00 1.37 4.68

time (sec)

N/A 0.367 0.118 0.322 0.286 4.156 0.000 0.265 12.463

Problem 1337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

251 251 223 243 419 1350 0 399 1680

N.S.

1 1.00 0.89 0.97 1.67 5.38 0.00 1.59 6.69

time (sec)

N/A 0.507 0.226 0.461 0.295 25.745 0.000 0.265 12.844

Problem 1338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

297 296 307 360 356 1190 1091 366 370

N.S.

1 1.00 1.03 1.21 1.20 4.01 3.67 1.23 1.25

time (sec)

N/A 0.530 0.109 0.398 0.278 0.454 14.417 0.268 0.324

Problem 1339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

220 220 231 263 268 849 836 273 276

N.S.

1 1.00 1.05 1.20 1.22 3.86 3.80 1.24 1.25

time (sec)

N/A 0.434 0.137 0.387 0.282 0.347 7.783 0.260 10.793

Problem 1340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 161 171 188 188 609 583 185 193

N.S.

1 1.00 1.06 1.17 1.17 3.78 3.62 1.15 1.20

time (sec)

N/A 0.361 0.079 0.364 0.293 0.342 2.422 0.255 0.194

Problem 1341

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

112 118 119 127 130 384 382 128 203

N.S.

1 1.05 1.06 1.13 1.16 3.43 3.41 1.14 1.81

time (sec)

N/A 0.244 0.068 0.363 0.281 0.294 1.292 0.269 10.731

Problem 1342

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

79 90 78 75 72 225 133 71 70

N.S.

1 1.14 0.99 0.95 0.91 2.85 1.68 0.90 0.89

time (sec)

N/A 0.195 0.047 0.277 0.277 0.321 0.477 0.255 10.671

Problem 1343

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

57 57 57 49 48 140 90 47 44

N.S.

1 1.00 1.00 0.86 0.84 2.46 1.58 0.82 0.77

time (sec)

N/A 0.169 0.020 0.275 0.277 0.275 0.149 0.253 0.052

Problem 1344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

195 213 158 215 243 795 0 280 1086

N.S.

1 1.09 0.81 1.10 1.25 4.08 0.00 1.44 5.57

time (sec)

N/A 0.465 0.111 0.458 0.279 9.803 0.000 0.264 12.921

Problem 1345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

290 302 251 304 511 1940 0 518 2029

N.S.

1 1.04 0.87 1.05 1.76 6.69 0.00 1.79 7.00

time (sec)

N/A 0.581 0.227 0.364 0.295 47.971 0.000 0.262 13.215

Problem 1346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

304 318 341 404 438 1403 0 422 424

N.S.

1 1.05 1.12 1.33 1.44 4.62 0.00 1.39 1.39

time (sec)

N/A 0.610 0.160 0.395 0.290 0.524 0.000 0.255 0.299

Problem 1347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

216 236 263 309 352 1055 0 324 763

N.S.

1 1.09 1.22 1.43 1.63 4.88 0.00 1.50 3.53

time (sec)

N/A 0.387 0.134 0.380 0.326 0.444 0.000 0.271 11.657

Problem 1348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 127 186 215 248 752 468 239 265

N.S.

1 1.02 1.49 1.72 1.98 6.02 3.74 1.91 2.12

time (sec)

N/A 0.233 0.066 0.306 0.271 0.402 35.599 0.277 0.233

Problem 1349

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

142 157 158 148 184 537 274 170 154

N.S.

1 1.11 1.11 1.04 1.30 3.78 1.93 1.20 1.08

time (sec)

N/A 0.297 0.070 0.302 0.286 0.774 3.039 0.263 10.875

Problem 1350

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

110 119 101 95 114 355 180 98 100

N.S.

1 1.08 0.92 0.86 1.04 3.23 1.64 0.89 0.91

time (sec)

N/A 0.217 0.065 0.288 0.279 0.329 0.819 0.266 10.817

Problem 1351

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

75 82 71 70 74 212 124 60 64

N.S.

1 1.09 0.95 0.93 0.99 2.83 1.65 0.80 0.85

time (sec)

N/A 0.183 0.035 0.271 0.303 0.333 0.234 0.267 10.772

Problem 1352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 350 263 435 525 1797 0 562 2415

N.S.

1 1.14 0.86 1.42 1.71 5.85 0.00 1.83 7.87

time (sec)

N/A 0.706 0.189 0.523 0.304 92.995 0.000 0.259 13.663

Problem 1353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

443 480 378 567 997 4009 0 884 3015

N.S.

1 1.08 0.85 1.28 2.25 9.05 0.00 2.00 6.81

time (sec)

N/A 0.930 0.332 0.604 0.324 233.395 0.000 0.280 14.604

Problem 1354

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

29 29 31 20 21 21 26 24 19

N.S.

1 1.00 1.07 0.69 0.72 0.72 0.90 0.83 0.66

time (sec)

N/A 0.178 0.013 0.256 0.201 0.274 0.062 0.261 0.066

Problem 1355

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

39 44 28 29 32 40 27 27 29

N.S.

1 1.13 0.72 0.74 0.82 1.03 0.69 0.69 0.74

time (sec)

N/A 0.174 0.015 0.286 0.278 0.255 0.067 0.249 0.042

Problem 1356

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

122 141 76 55 90 70 131 64 55

N.S.

1 1.16 0.62 0.45 0.74 0.57 1.07 0.52 0.45

time (sec)

N/A 0.267 0.218 0.331 0.293 0.324 0.461 0.270 10.227

Problem 1357

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

100 123 71 50 76 65 63 57 50

N.S.

1 1.23 0.71 0.50 0.76 0.65 0.63 0.57 0.50

time (sec)

N/A 0.240 0.157 0.277 0.290 0.368 1.007 0.272 10.245

Problem 1358

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

78 92 66 45 62 60 95 54 45

N.S.

1 1.18 0.85 0.58 0.79 0.77 1.22 0.69 0.58

time (sec)

N/A 0.206 0.123 0.275 0.286 0.282 0.203 0.259 10.526

Problem 1359

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 69 61 40 48 55 48 48 40

N.S.

1 1.23 1.09 0.71 0.86 0.98 0.86 0.86 0.71

time (sec)

N/A 0.178 0.104 0.277 0.282 0.271 0.647 0.270 0.034

Problem 1360

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

49 51 54 35 36 50 61 44 33

N.S.

1 1.04 1.10 0.71 0.73 1.02 1.24 0.90 0.67

time (sec)

N/A 0.159 0.067 0.256 0.287 0.327 0.093 0.262 0.031

Problem 1361

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

72 77 92 58 70 90 0 104 66

N.S.

1 1.07 1.28 0.81 0.97 1.25 0.00 1.44 0.92

time (sec)

N/A 0.206 0.311 0.292 0.276 0.295 0.000 0.288 0.188

Problem 1362

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

73 73 95 77 76 109 0 285 80

N.S.

1 1.00 1.30 1.05 1.04 1.49 0.00 3.90 1.10

time (sec)

N/A 0.214 0.337 0.279 0.279 0.394 0.000 0.394 0.114

Problem 1363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 84 103 77 99 126 0 205 92

N.S.

1 1.06 1.30 0.97 1.25 1.59 0.00 2.59 1.16

time (sec)

N/A 0.208 0.469 0.303 0.274 0.389 0.000 0.300 0.117

Problem 1364

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

82 87 78 70 115 104 0 232 106

N.S.

1 1.06 0.95 0.85 1.40 1.27 0.00 2.83 1.29

time (sec)

N/A 0.204 0.571 0.708 0.282 0.431 0.000 0.293 10.538

Problem 1365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 114 83 75 148 119 0 181 140

N.S.

1 1.10 0.80 0.72 1.42 1.14 0.00 1.74 1.35

time (sec)

N/A 0.234 0.696 0.734 0.285 0.397 0.000 0.299 0.122

Problem 1366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 141 88 80 186 134 0 322 178

N.S.

1 1.12 0.70 0.63 1.48 1.06 0.00 2.56 1.41

time (sec)

N/A 0.265 0.906 0.740 0.278 0.593 0.000 0.294 10.578

Problem 1367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

148 168 93 85 229 149 0 367 223

N.S.

1 1.14 0.63 0.57 1.55 1.01 0.00 2.48 1.51

time (sec)

N/A 0.292 1.123 0.330 0.288 0.384 0.000 0.301 0.130

Problem 1368

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

138 167 86 65 102 80 162 72 65

N.S.

1 1.21 0.62 0.47 0.74 0.58 1.17 0.52 0.47

time (sec)

N/A 0.276 0.259 0.319 0.276 0.270 2.058 0.269 10.498

Problem 1369

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

116 144 81 60 88 75 144 66 60

N.S.

1 1.24 0.70 0.52 0.76 0.65 1.24 0.57 0.52

time (sec)

N/A 0.252 0.206 0.277 0.272 0.305 1.404 0.271 10.538

Problem 1370

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

94 117 76 55 74 70 129 62 55

N.S.

1 1.24 0.81 0.59 0.79 0.74 1.37 0.66 0.59

time (sec)

N/A 0.218 0.176 0.276 0.282 0.320 0.883 0.268 10.596

Problem 1371

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

72 90 71 50 60 65 110 56 50

N.S.

1 1.25 0.99 0.69 0.83 0.90 1.53 0.78 0.69

time (sec)

N/A 0.191 0.144 0.267 0.275 0.295 0.621 0.282 10.582

Problem 1372

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

67 72 66 45 48 60 97 53 45

N.S.

1 1.07 0.99 0.67 0.72 0.90 1.45 0.79 0.67

time (sec)

N/A 0.170 0.103 0.242 0.274 0.292 0.393 0.274 0.038

Problem 1373

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

92 102 104 70 93 102 0 116 76

N.S.

1 1.11 1.13 0.76 1.01 1.11 0.00 1.26 0.83

time (sec)

N/A 0.233 0.257 0.290 0.281 0.295 0.000 0.301 0.129

Problem 1374

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

97 107 111 87 99 121 0 475 108

N.S.

1 1.10 1.14 0.90 1.02 1.25 0.00 4.90 1.11

time (sec)

N/A 0.238 0.427 0.293 0.284 0.279 0.000 0.447 0.120

Problem 1375

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

104 114 113 87 122 136 0 219 117

N.S.

1 1.10 1.09 0.84 1.17 1.31 0.00 2.11 1.12

time (sec)

N/A 0.252 0.585 0.290 0.275 0.316 0.000 0.294 10.731

Problem 1376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 116 113 87 150 151 0 265 133

N.S.

1 1.09 1.07 0.82 1.42 1.42 0.00 2.50 1.25

time (sec)

N/A 0.257 0.798 0.299 0.304 0.304 0.000 0.295 0.124

Problem 1377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 116 113 87 183 166 0 245 155

N.S.

1 1.09 1.07 0.82 1.73 1.57 0.00 2.31 1.46

time (sec)

N/A 0.256 1.022 0.758 0.280 0.290 0.000 0.408 0.124

Problem 1378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 119 88 80 209 134 0 318 179

N.S.

1 1.09 0.81 0.73 1.92 1.23 0.00 2.92 1.64

time (sec)

N/A 0.233 1.316 0.309 0.295 0.261 0.000 0.300 10.704

Problem 1379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 146 93 85 252 149 0 367 223

N.S.

1 1.11 0.71 0.65 1.92 1.14 0.00 2.80 1.70

time (sec)

N/A 0.259 1.485 0.323 0.285 0.273 0.000 0.301 10.684

Problem 1380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 173 98 90 300 164 0 408 272

N.S.

1 1.13 0.64 0.59 1.96 1.07 0.00 2.67 1.78

time (sec)

N/A 0.298 1.695 0.325 0.283 0.298 0.000 0.298 0.140

Problem 1381

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

154 188 96 75 114 90 199 82 75

N.S.

1 1.22 0.62 0.49 0.74 0.58 1.29 0.53 0.49

time (sec)

N/A 0.291 0.387 0.317 0.311 0.327 8.230 0.284 10.603

Problem 1382

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

132 165 91 70 100 85 180 76 70

N.S.

1 1.25 0.69 0.53 0.76 0.64 1.36 0.58 0.53

time (sec)

N/A 0.259 0.298 0.295 0.273 0.302 5.840 0.297 10.572

Problem 1383

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

110 134 86 65 86 80 162 72 65

N.S.

1 1.22 0.78 0.59 0.78 0.73 1.47 0.65 0.59

time (sec)

N/A 0.235 0.250 0.286 0.274 0.286 4.162 0.264 10.603

Problem 1384

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

88 111 81 60 72 75 143 63 60

N.S.

1 1.26 0.92 0.68 0.82 0.85 1.62 0.72 0.68

time (sec)

N/A 0.202 0.218 0.293 0.274 0.276 2.872 0.267 10.579

Problem 1385

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

83 93 76 55 60 70 131 61 55

N.S.

1 1.12 0.92 0.66 0.72 0.84 1.58 0.73 0.66

time (sec)

N/A 0.182 0.164 0.269 0.297 0.273 1.982 0.269 0.037

Problem 1386

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

112 127 114 80 116 112 0 125 86

N.S.

1 1.13 1.02 0.71 1.04 1.00 0.00 1.12 0.77

time (sec)

N/A 0.264 0.393 0.289 0.275 0.346 0.000 0.299 10.675

Problem 1387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 127 121 97 122 131 0 665 138

N.S.

1 1.09 1.03 0.83 1.04 1.12 0.00 5.68 1.18

time (sec)

N/A 0.268 0.553 0.326 0.302 0.326 0.000 0.497 0.139

Problem 1388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 141 121 97 145 146 0 230 147

N.S.

1 1.12 0.96 0.77 1.15 1.16 0.00 1.83 1.17

time (sec)

N/A 0.274 0.643 0.303 0.279 0.306 0.000 0.305 0.129

Problem 1389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 146 128 97 173 167 0 275 161

N.S.

1 1.10 0.96 0.73 1.30 1.26 0.00 2.07 1.21

time (sec)

N/A 0.277 0.903 0.323 0.288 0.295 0.000 0.299 0.131

Problem 1390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 148 121 97 206 176 0 440 180

N.S.

1 1.11 0.91 0.73 1.55 1.32 0.00 3.31 1.35

time (sec)

N/A 0.287 1.056 0.320 0.287 0.291 0.000 0.427 0.133

Problem 1391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 148 123 97 244 191 0 355 206

N.S.

1 1.11 0.92 0.73 1.83 1.44 0.00 2.67 1.55

time (sec)

N/A 0.285 1.221 0.325 0.296 0.442 0.000 0.315 10.693

Problem 1392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 148 121 97 287 206 0 389 238

N.S.

1 1.11 0.91 0.73 2.16 1.55 0.00 2.92 1.79

time (sec)

N/A 0.288 1.317 0.372 0.295 0.386 0.000 0.313 0.139

Problem 1393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 151 98 90 323 164 0 408 272

N.S.

1 1.11 0.72 0.66 2.38 1.21 0.00 3.00 2.00

time (sec)

N/A 0.260 1.543 0.386 0.296 0.350 0.000 0.327 10.694

Problem 1394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 178 103 95 376 179 0 457 326

N.S.

1 1.13 0.65 0.60 2.38 1.13 0.00 2.89 2.06

time (sec)

N/A 0.306 1.897 0.428 0.301 0.379 0.000 0.309 10.754

Problem 1395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

180 205 108 100 434 194 0 502 385

N.S.

1 1.14 0.60 0.56 2.41 1.08 0.00 2.79 2.14

time (sec)

N/A 0.343 2.089 0.478 0.301 0.653 0.000 0.328 0.182

Problem 1396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

202 232 113 105 497 209 0 547 449

N.S.

1 1.15 0.56 0.52 2.46 1.03 0.00 2.71 2.22

time (sec)

N/A 0.367 2.499 0.507 0.302 0.382 0.000 0.338 10.919

Problem 1397

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

106 128 66 45 78 60 97 53 45

N.S.

1 1.21 0.62 0.42 0.74 0.57 0.92 0.50 0.42

time (sec)

N/A 0.253 0.202 0.318 0.278 0.288 0.328 0.271 0.041

Problem 1398

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

84 101 61 40 64 55 80 49 40

N.S.

1 1.20 0.73 0.48 0.76 0.65 0.95 0.58 0.48

time (sec)

N/A 0.230 0.197 0.297 0.270 0.282 0.217 0.276 0.034

Problem 1399

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

62 74 56 35 50 50 63 42 35

N.S.

1 1.19 0.90 0.56 0.81 0.81 1.02 0.68 0.56

time (sec)

N/A 0.194 0.147 0.279 0.274 0.301 0.150 0.267 0.033

Problem 1400

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

40 51 49 28 36 43 44 37 28

N.S.

1 1.28 1.22 0.70 0.90 1.08 1.10 0.92 0.70

time (sec)

N/A 0.165 0.115 0.249 0.268 0.324 0.108 0.279 0.031