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Integrals 2301 to 2400

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

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

Problem 2301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

365 365 437 360 0 58 0 0 0

N.S.

1 1.00 1.20 0.99 0.00 0.16 0.00 0.00 0.00

time (sec)

N/A 0.140 32.422 0.722 0.000 0.084 0.000 0.000 0.000

Problem 2302

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

326 326 423 345 0 46 0 0 0

N.S.

1 1.00 1.30 1.06 0.00 0.14 0.00 0.00 0.00

time (sec)

N/A 0.106 32.135 0.487 0.000 0.097 0.000 0.000 0.000

Problem 2303

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

275 275 389 313 0 18 0 0 0

N.S.

1 1.00 1.41 1.14 0.00 0.07 0.00 0.00 0.00

time (sec)

N/A 0.083 31.825 0.639 0.000 0.083 0.000 0.000 0.000

Problem 2304

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

304 304 417 341 0 62 0 0 0

N.S.

1 1.00 1.37 1.12 0.00 0.20 0.00 0.00 0.00

time (sec)

N/A 0.116 31.700 1.014 0.000 0.105 0.000 0.000 0.000

Problem 2305

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

351 351 435 360 0 95 0 0 0

N.S.

1 1.00 1.24 1.03 0.00 0.27 0.00 0.00 0.00

time (sec)

N/A 0.133 32.179 1.289 0.000 0.108 0.000 0.000 0.000

Problem 2306

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

134 133 251 271 244 244 332 324 270

N.S.

1 0.99 1.87 2.02 1.82 1.82 2.48 2.42 2.01

time (sec)

N/A 0.174 0.090 0.283 0.193 0.273 0.041 0.269 0.136

Problem 2307

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

134 133 192 207 188 188 252 247 206

N.S.

1 0.99 1.43 1.54 1.40 1.40 1.88 1.84 1.54

time (sec)

N/A 0.131 0.059 0.278 0.196 0.380 0.034 0.293 11.026

Problem 2308

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

134 133 137 144 132 132 172 171 143

N.S.

1 0.99 1.02 1.07 0.99 0.99 1.28 1.28 1.07

time (sec)

N/A 0.089 0.040 0.273 0.185 0.440 0.028 0.275 10.950

Problem 2309

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

80 80 80 76 76 76 94 94 79

N.S.

1 1.00 1.00 0.95 0.95 0.95 1.18 1.18 0.99

time (sec)

N/A 0.056 0.018 0.045 0.187 0.457 0.022 0.267 0.035

Problem 2310

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

42 42 42 37 36 36 39 40 38

N.S.

1 1.00 1.00 0.88 0.86 0.86 0.93 0.95 0.90

time (sec)

N/A 0.023 0.008 0.023 0.187 0.423 0.019 0.264 0.046

Problem 2311

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

111 109 100 124 122 123 107 140 130

N.S.

1 0.98 0.90 1.12 1.10 1.11 0.96 1.26 1.17

time (sec)

N/A 0.085 0.035 0.277 0.189 0.670 0.230 0.275 11.031

Problem 2312

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

116 114 106 129 126 192 143 203 137

N.S.

1 0.98 0.91 1.11 1.09 1.66 1.23 1.75 1.18

time (sec)

N/A 0.084 0.049 0.299 0.186 0.280 0.492 0.265 0.096

Problem 2313

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

119 119 135 131 136 203 162 132 142

N.S.

1 1.00 1.13 1.10 1.14 1.71 1.36 1.11 1.19

time (sec)

N/A 0.076 0.046 0.274 0.191 0.306 1.690 0.273 0.129

Problem 2314

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

127 126 130 133 154 185 184 141 154

N.S.

1 0.99 1.02 1.05 1.21 1.46 1.45 1.11 1.21

time (sec)

N/A 0.071 0.043 0.276 0.185 0.305 5.252 0.272 11.048

Problem 2315

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

132 131 118 126 157 157 194 207 158

N.S.

1 0.99 0.89 0.95 1.19 1.19 1.47 1.57 1.20

time (sec)

N/A 0.066 0.040 0.276 0.204 0.309 15.254 0.274 0.080

Problem 2316

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

134 133 122 136 173 173 212 143 180

N.S.

1 0.99 0.91 1.01 1.29 1.29 1.58 1.07 1.34

time (sec)

N/A 0.066 0.041 0.290 0.202 0.328 80.686 0.276 0.088

Problem 2317

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

134 133 119 127 178 178 0 140 182

N.S.

1 0.99 0.89 0.95 1.33 1.33 0.00 1.04 1.36

time (sec)

N/A 0.069 0.043 0.279 0.187 0.300 0.000 0.272 11.034

Problem 2318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

304 302 665 671 648 648 957 919 739

N.S.

1 0.99 2.19 2.21 2.13 2.13 3.15 3.02 2.43

time (sec)

N/A 0.526 0.243 0.368 0.191 0.300 0.065 0.280 11.254

Problem 2319

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

304 302 550 545 532 532 765 743 594

N.S.

1 0.99 1.81 1.79 1.75 1.75 2.52 2.44 1.95

time (sec)

N/A 0.394 0.175 0.364 0.188 0.319 0.063 0.281 11.280

Problem 2320

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

304 302 421 419 416 416 583 568 450

N.S.

1 0.99 1.38 1.38 1.37 1.37 1.92 1.87 1.48

time (sec)

N/A 0.330 0.133 0.337 0.185 0.330 0.051 0.286 0.145

Problem 2321

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

304 302 301 293 300 300 405 396 310

N.S.

1 0.99 0.99 0.96 0.99 0.99 1.33 1.30 1.02

time (sec)

N/A 0.268 0.096 0.367 0.187 0.315 0.050 0.272 11.037

Problem 2322

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

180 180 180 167 184 184 231 225 184

N.S.

1 1.00 1.00 0.93 1.02 1.02 1.28 1.25 1.02

time (sec)

N/A 0.181 0.054 0.359 0.196 0.289 0.035 0.271 11.026

Problem 2323

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

96 96 96 90 90 90 100 99 89

N.S.

1 1.00 1.00 0.94 0.94 0.94 1.04 1.03 0.93

time (sec)

N/A 0.065 0.017 0.343 0.177 0.299 0.029 0.274 10.955

Problem 2324

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

257 257 298 424 378 379 372 494 423

N.S.

1 1.00 1.16 1.65 1.47 1.47 1.45 1.92 1.65

time (sec)

N/A 0.311 0.123 0.385 0.192 0.423 0.594 0.268 0.088

Problem 2325

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

267 264 250 445 387 567 442 575 499

N.S.

1 0.99 0.94 1.67 1.45 2.12 1.66 2.15 1.87

time (sec)

N/A 0.280 0.074 0.365 0.200 0.433 1.670 0.267 0.128

Problem 2326

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

281 280 262 438 397 620 534 461 468

N.S.

1 1.00 0.93 1.56 1.41 2.21 1.90 1.64 1.67

time (sec)

N/A 0.285 0.085 0.373 0.202 0.375 9.344 0.261 11.002

Problem 2327

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

286 284 263 438 409 618 547 455 465

N.S.

1 0.99 0.92 1.53 1.43 2.16 1.91 1.59 1.63

time (sec)

N/A 0.257 0.079 0.365 0.198 0.382 167.869 0.293 11.057

Problem 2328

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

289 287 391 434 417 572 0 719 475

N.S.

1 0.99 1.35 1.50 1.44 1.98 0.00 2.49 1.64

time (sec)

N/A 0.229 0.182 0.370 0.198 0.363 0.000 0.284 11.353

Problem 2329

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

297 295 386 440 438 505 0 456 483

N.S.

1 0.99 1.30 1.48 1.47 1.70 0.00 1.54 1.63

time (sec)

N/A 0.219 0.149 0.362 0.203 0.635 0.000 0.272 11.385

Problem 2330

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

302 300 372 431 438 438 0 495 485

N.S.

1 0.99 1.23 1.43 1.45 1.45 0.00 1.64 1.61

time (sec)

N/A 0.195 0.130 0.363 0.210 0.318 0.000 0.270 0.157

Problem 2331

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

304 302 377 439 457 457 0 497 505

N.S.

1 0.99 1.24 1.44 1.50 1.50 0.00 1.63 1.66

time (sec)

N/A 0.195 0.148 0.391 0.208 0.325 0.000 0.271 0.174

Problem 2332

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

304 302 375 439 468 468 0 497 516

N.S.

1 0.99 1.23 1.44 1.54 1.54 0.00 1.63 1.70

time (sec)

N/A 0.192 0.142 0.369 0.210 0.309 0.000 0.285 11.230

Problem 2333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

555 553 1178 1263 1114 1114 1731 1663 1348

N.S.

1 1.00 2.12 2.28 2.01 2.01 3.12 3.00 2.43

time (sec)

N/A 1.040 0.423 0.376 0.194 0.331 0.103 0.288 11.600

Problem 2334

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

555 553 957 1041 919 919 1401 1353 1093

N.S.

1 1.00 1.72 1.88 1.66 1.66 2.52 2.44 1.97

time (sec)

N/A 0.810 0.339 0.378 0.200 0.315 0.088 0.311 0.319

Problem 2335

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

555 553 715 819 713 713 1080 1040 835

N.S.

1 1.00 1.29 1.48 1.28 1.28 1.95 1.87 1.50

time (sec)

N/A 0.695 0.243 0.342 0.189 0.322 0.072 0.269 0.243

Problem 2336

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

555 553 526 594 529 529 753 727 578

N.S.

1 1.00 0.95 1.07 0.95 0.95 1.36 1.31 1.04

time (sec)

N/A 0.546 0.178 0.364 0.186 0.334 0.058 0.267 11.225

Problem 2337

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

310 310 310 339 334 334 435 417 338

N.S.

1 1.00 1.00 1.09 1.08 1.08 1.40 1.35 1.09

time (sec)

N/A 0.405 0.102 0.345 0.181 0.309 0.044 0.272 0.128

Problem 2338

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

158 158 158 164 162 162 190 187 163

N.S.

1 1.00 1.00 1.04 1.03 1.03 1.20 1.18 1.03

time (sec)

N/A 0.142 0.030 0.342 0.188 0.295 0.033 0.286 0.071

Problem 2339

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

544 541 700 1030 842 843 979 1209 968

N.S.

1 0.99 1.29 1.89 1.55 1.55 1.80 2.22 1.78

time (sec)

N/A 0.746 0.304 0.371 0.195 0.313 1.113 0.289 11.152

Problem 2340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

525 522 922 1054 853 1189 1056 1264 1483

N.S.

1 0.99 1.76 2.01 1.62 2.26 2.01 2.41 2.82

time (sec)

N/A 0.675 0.336 0.367 0.192 0.316 3.903 0.282 11.271

Problem 2341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

531 530 503 1044 861 1311 1149 1127 1297

N.S.

1 1.00 0.95 1.97 1.62 2.47 2.16 2.12 2.44

time (sec)

N/A 0.697 0.168 0.365 0.198 0.318 32.646 0.279 11.339

Problem 2342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

521 519 488 1045 875 1369 0 1100 1151

N.S.

1 1.00 0.94 2.01 1.68 2.63 0.00 2.11 2.21

time (sec)

N/A 0.656 0.168 0.362 0.209 0.341 0.000 0.269 11.300

Problem 2343

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

533 531 496 1042 884 1343 0 1581 1106

N.S.

1 1.00 0.93 1.95 1.66 2.52 0.00 2.97 2.08

time (sec)

N/A 0.625 0.177 0.336 0.213 0.345 0.000 0.304 11.341

Problem 2344

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

534 532 885 1042 898 1247 0 1077 1106

N.S.

1 1.00 1.66 1.95 1.68 2.34 0.00 2.02 2.07

time (sec)

N/A 0.548 0.390 0.374 0.217 0.324 0.000 0.292 11.315

Problem 2345

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

541 539 868 1047 905 1145 0 1067 1598

N.S.

1 1.00 1.60 1.94 1.67 2.12 0.00 1.97 2.95

time (sec)

N/A 0.521 0.520 0.372 0.225 0.329 0.000 0.270 11.510

Problem 2346

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

548 546 863 1047 926 1023 0 1079 1353

N.S.

1 1.00 1.57 1.91 1.69 1.87 0.00 1.97 2.47

time (sec)

N/A 0.476 0.321 0.391 0.226 0.319 0.000 0.284 11.422

Problem 2347

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

550 548 847 1034 922 922 0 1210 1115

N.S.

1 1.00 1.54 1.88 1.68 1.68 0.00 2.20 2.03

time (sec)

N/A 0.462 0.341 0.367 0.224 0.277 0.000 0.280 0.280

Problem 2348

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

555 553 852 1048 945 945 0 1212 1142

N.S.

1 1.00 1.54 1.89 1.70 1.70 0.00 2.18 2.06

time (sec)

N/A 0.437 0.335 0.365 0.229 0.296 0.000 0.281 11.345

Problem 2349

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

555 553 849 1048 956 956 0 1212 1153

N.S.

1 1.00 1.53 1.89 1.72 1.72 0.00 2.18 2.08

time (sec)

N/A 0.429 0.341 0.362 0.248 0.314 0.000 0.276 11.429

Problem 2350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 142 281 215 342 3267 604 300

N.S.

1 1.00 1.17 2.32 1.78 2.83 27.00 4.99 2.48

time (sec)

N/A 0.060 0.233 0.302 0.214 0.326 0.912 0.282 11.281

Problem 2351

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

103 103 166 169 168 168 192 186 160

N.S.

1 1.00 1.61 1.64 1.63 1.63 1.86 1.81 1.55

time (sec)

N/A 0.109 0.031 0.284 0.186 0.279 0.032 0.268 11.137

Problem 2352

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

103 103 140 136 138 138 153 149 132

N.S.

1 1.00 1.36 1.32 1.34 1.34 1.49 1.45 1.28

time (sec)

N/A 0.084 0.023 0.250 0.181 0.287 0.034 0.276 0.057

Problem 2353

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

103 103 109 105 105 105 116 114 104

N.S.

1 1.00 1.06 1.02 1.02 1.02 1.13 1.11 1.01

time (sec)

N/A 0.069 0.021 0.286 0.184 0.280 0.026 0.270 11.069

Problem 2354

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 78 70 73 72 72 80 79 73

N.S.

1 1.00 0.90 0.94 0.92 0.92 1.03 1.01 0.94

time (sec)

N/A 0.048 0.018 0.285 0.181 0.291 0.025 0.272 0.035

Problem 2355

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

47 47 41 40 39 39 42 43 41

N.S.

1 1.00 0.87 0.85 0.83 0.83 0.89 0.91 0.87

time (sec)

N/A 0.025 0.009 0.035 0.188 0.377 0.022 0.263 0.045

Problem 2356

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

25 25 25 20 19 19 19 19 19

N.S.

1 1.00 1.00 0.80 0.76 0.76 0.76 0.76 0.76

time (sec)

N/A 0.005 0.002 0.033 0.178 0.428 0.018 0.259 0.028

Problem 2357

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 79 74 76 81 82 71 84 85

N.S.

1 1.00 0.94 0.96 1.03 1.04 0.90 1.06 1.08

time (sec)

N/A 0.049 0.019 0.295 0.191 0.418 0.138 0.265 11.104

Problem 2358

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 84 79 78 85 131 82 134 88

N.S.

1 1.00 0.94 0.93 1.01 1.56 0.98 1.60 1.05

time (sec)

N/A 0.064 0.041 0.280 0.185 0.409 0.226 0.270 11.091

Problem 2359

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

89 89 80 83 96 147 97 83 96

N.S.

1 1.00 0.90 0.93 1.08 1.65 1.09 0.93 1.08

time (sec)

N/A 0.053 0.036 0.286 0.186 0.342 0.414 0.266 11.129

Problem 2360

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

96 96 86 84 113 141 114 89 107

N.S.

1 1.00 0.90 0.88 1.18 1.47 1.19 0.93 1.11

time (sec)

N/A 0.053 0.024 0.280 0.187 0.563 0.701 0.276 11.148

Problem 2361

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

101 101 77 79 116 116 126 122 111

N.S.

1 1.00 0.76 0.78 1.15 1.15 1.25 1.21 1.10

time (sec)

N/A 0.049 0.020 0.280 0.191 0.265 1.059 0.273 0.057

Problem 2362

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

103 103 79 84 132 132 141 84 128

N.S.

1 1.00 0.77 0.82 1.28 1.28 1.37 0.82 1.24

time (sec)

N/A 0.050 0.021 0.267 0.179 0.293 1.801 0.280 0.065

Problem 2363

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

103 103 77 78 137 137 150 82 133

N.S.

1 1.00 0.75 0.76 1.33 1.33 1.46 0.80 1.29

time (sec)

N/A 0.050 0.021 0.287 0.196 0.304 3.705 0.269 0.075

Problem 2364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

357 357 352 437 0 1139 2759 421 539

N.S.

1 1.00 0.99 1.22 0.00 3.19 7.73 1.18 1.51

time (sec)

N/A 0.423 0.189 0.546 0.000 0.565 13.658 0.268 11.904

Problem 2365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

205 205 203 221 0 673 1532 223 316

N.S.

1 1.00 0.99 1.08 0.00 3.28 7.47 1.09 1.54

time (sec)

N/A 0.249 0.104 0.497 0.000 0.324 5.606 0.273 11.772

Problem 2366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 108 108 0 369 677 106 163

N.S.

1 1.00 1.00 1.00 0.00 3.42 6.27 0.98 1.51

time (sec)

N/A 0.075 0.052 0.468 0.000 0.323 1.864 0.273 0.409

Problem 2367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 64 66 62 0 207 280 63 162

N.S.

1 1.00 1.03 0.97 0.00 3.23 4.38 0.98 2.53

time (sec)

N/A 0.029 0.036 0.413 0.000 0.290 0.391 0.267 0.119

Problem 2368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 146 125 145 0 409 0 152 1027

N.S.

1 1.00 0.86 0.99 0.00 2.80 0.00 1.04 7.03

time (sec)

N/A 0.137 0.078 0.541 0.000 3.332 0.000 0.272 18.563

Problem 2369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

255 255 219 276 0 1594 0 392 2650

N.S.

1 1.00 0.86 1.08 0.00 6.25 0.00 1.54 10.39

time (sec)

N/A 0.271 0.213 0.458 0.000 48.330 0.000 0.289 16.805

Problem 2370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

414 414 413 487 0 0 0 844 7042

N.S.

1 1.00 1.00 1.18 0.00 0.00 0.00 2.04 17.01

time (sec)

N/A 0.496 0.294 0.447 0.000 0.000 0.000 0.290 43.997

Problem 2371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

543 543 897 1501 0 5676 0 1368 1763

N.S.

1 1.00 1.65 2.76 0.00 10.45 0.00 2.52 3.25

time (sec)

N/A 0.838 1.158 0.559 0.000 1.724 0.000 0.293 14.897

Problem 2372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

195 195 550 982 0 3941 0 1002 1167

N.S.

1 1.00 2.82 5.04 0.00 20.21 0.00 5.14 5.98

time (sec)

N/A 0.110 0.553 0.441 0.000 0.600 0.000 0.297 12.538

Problem 2373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

305 303 408 646 0 2906 2076 647 913

N.S.

1 0.99 1.34 2.12 0.00 9.53 6.81 2.12 2.99

time (sec)

N/A 0.252 0.407 0.441 0.000 0.583 56.989 0.308 12.381

Problem 2374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

221 219 216 381 0 1879 1234 353 555

N.S.

1 0.99 0.98 1.72 0.00 8.50 5.58 1.60 2.51

time (sec)

N/A 0.113 0.217 0.414 0.000 0.446 5.778 0.293 0.616

Problem 2375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 128 137 0 1116 651 199 353

N.S.

1 1.00 0.98 1.05 0.00 8.52 4.97 1.52 2.69

time (sec)

N/A 0.038 0.084 0.447 0.000 0.361 1.020 0.272 11.655

Problem 2376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

666 664 668 2087 0 0 0 2398 25467

N.S.

1 1.00 1.00 3.13 0.00 0.00 0.00 3.60 38.24

time (sec)

N/A 1.672 1.843 0.582 0.000 0.000 0.000 0.309 18.281

Problem 2377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1043 1043 1050 3177 0 0 0 3633 40079

N.S.

1 1.00 1.01 3.05 0.00 0.00 0.00 3.48 38.43

time (sec)

N/A 4.250 5.113 1.512 0.000 0.000 0.000 0.765 22.095

Problem 2378

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

43 43 43 32 33 33 41 35 31

N.S.

1 1.00 1.00 0.74 0.77 0.77 0.95 0.81 0.72

time (sec)

N/A 0.016 0.018 0.308 0.180 0.279 0.059 0.269 0.054

Problem 2379

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

36 36 35 27 28 28 34 30 26

N.S.

1 1.00 0.97 0.75 0.78 0.78 0.94 0.83 0.72

time (sec)

N/A 0.016 0.012 0.306 0.187 0.291 0.056 0.262 11.756

Problem 2380

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 34 22 23 23 27 25 21

N.S.

1 1.00 1.17 0.76 0.79 0.79 0.93 0.86 0.72

time (sec)

N/A 0.014 0.012 0.280 0.183 0.278 0.056 0.277 0.035

Problem 2381

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 17 18 18 20 20 16

N.S.

1 1.00 1.00 0.77 0.82 0.82 0.91 0.91 0.73

time (sec)

N/A 0.009 0.005 0.301 0.178 0.274 0.052 0.279 0.039

Problem 2382

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

17 17 17 14 15 15 15 17 13

N.S.

1 1.00 1.00 0.82 0.88 0.88 0.88 1.00 0.76

time (sec)

N/A 0.004 0.003 0.290 0.180 0.278 0.048 0.271 11.747

Problem 2383

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

27 27 27 20 23 23 26 26 19

N.S.

1 1.00 1.00 0.74 0.85 0.85 0.96 0.96 0.70

time (sec)

N/A 0.015 0.006 0.309 0.175 0.288 0.077 0.268 0.056

Problem 2384

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

38 38 38 31 32 48 32 40 28

N.S.

1 1.00 1.00 0.82 0.84 1.26 0.84 1.05 0.74

time (sec)

N/A 0.020 0.017 0.315 0.177 0.305 0.081 0.269 0.039

Problem 2385

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 49 47 37 42 71 41 40 36

N.S.

1 1.00 0.96 0.76 0.86 1.45 0.84 0.82 0.73

time (sec)

N/A 0.022 0.018 0.324 0.176 0.294 0.092 0.262 0.043

Problem 2386

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

60 60 62 42 52 96 51 45 46

N.S.

1 1.00 1.03 0.70 0.87 1.60 0.85 0.75 0.77

time (sec)

N/A 0.025 0.028 0.309 0.178 0.276 0.097 0.259 11.648

Problem 2387

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

50 50 56 40 42 68 42 44 38

N.S.

1 1.00 1.12 0.80 0.84 1.36 0.84 0.88 0.76

time (sec)

N/A 0.035 0.022 0.321 0.176 0.276 0.085 0.271 0.041

Problem 2388

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

43 43 47 35 37 63 36 39 33

N.S.

1 1.00 1.09 0.81 0.86 1.47 0.84 0.91 0.77

time (sec)

N/A 0.033 0.026 0.323 0.178 0.270 0.080 0.273 11.476

Problem 2389

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

38 38 38 32 34 53 31 36 30

N.S.

1 1.00 1.00 0.84 0.89 1.39 0.82 0.95 0.79

time (sec)

N/A 0.024 0.020 0.306 0.181 0.255 0.076 0.262 0.053

Problem 2390

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

36 36 34 32 34 53 29 36 26

N.S.

1 1.00 0.94 0.89 0.94 1.47 0.81 1.00 0.72

time (sec)

N/A 0.010 0.011 0.287 0.174 0.265 0.063 0.269 0.041

Problem 2391

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

34 34 33 32 34 53 29 36 26

N.S.

1 1.00 0.97 0.94 1.00 1.56 0.85 1.06 0.76

time (sec)

N/A 0.007 0.009 0.319 0.183 0.287 0.063 0.274 11.399

Problem 2392

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

48 48 48 40 42 71 41 45 36

N.S.

1 1.00 1.00 0.83 0.88 1.48 0.85 0.94 0.75

time (sec)

N/A 0.026 0.023 0.330 0.174 0.282 0.096 0.272 0.042

Problem 2393

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

66 66 57 49 52 96 51 77 46

N.S.

1 1.00 0.86 0.74 0.79 1.45 0.77 1.17 0.70

time (sec)

N/A 0.029 0.020 0.310 0.187 0.268 0.094 0.271 0.042

Problem 2394

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

77 77 66 58 62 121 60 62 56

N.S.

1 1.00 0.86 0.75 0.81 1.57 0.78 0.81 0.73

time (sec)

N/A 0.030 0.022 0.316 0.179 0.280 0.101 0.263 11.335

Problem 2395

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 88 75 64 72 146 71 67 66

N.S.

1 1.00 0.85 0.73 0.82 1.66 0.81 0.76 0.75

time (sec)

N/A 0.035 0.031 0.319 0.185 0.287 0.109 0.273 11.748

Problem 2396

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

64 64 81 48 57 103 58 49 52

N.S.

1 1.00 1.27 0.75 0.89 1.61 0.91 0.77 0.81

time (sec)

N/A 0.054 0.023 0.317 0.185 0.287 0.093 0.268 11.721

Problem 2397

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

59 59 62 44 54 93 53 46 49

N.S.

1 1.00 1.05 0.75 0.92 1.58 0.90 0.78 0.83

time (sec)

N/A 0.036 0.024 0.312 0.175 0.265 0.099 0.262 0.056

Problem 2398

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

69 69 59 44 54 93 51 46 45

N.S.

1 1.00 0.86 0.64 0.78 1.35 0.74 0.67 0.65

time (sec)

N/A 0.020 0.020 0.309 0.177 0.288 0.076 0.266 11.750

Problem 2399

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 56 44 54 93 51 46 45

N.S.

1 1.00 0.98 0.77 0.95 1.63 0.89 0.81 0.79

time (sec)

N/A 0.029 0.021 0.328 0.186 0.292 0.074 0.280 11.525

Problem 2400

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 44 54 93 51 46 45

N.S.

1 1.00 1.00 0.77 0.95 1.63 0.89 0.81 0.79

time (sec)

N/A 0.013 0.013 0.299 0.180 0.274 0.071 0.271 0.044

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