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2.2.24 Integrals 2301 to 2400

Detailed conclusion table per each integral is given by 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 just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 2301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

365 365 437 608 0 58 0 0 -1

N.S.

1 1.00 1.20 1.67 0.00 0.16 0.00 0.00 -0.00

time (sec)

N/A 0.152 31.210 0.139 0.000 0.462 0.000 0.000 0.000

Problem 2302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

326 326 423 596 0 46 0 0 -1

N.S.

1 1.00 1.30 1.83 0.00 0.14 0.00 0.00 -0.00

time (sec)

N/A 0.118 31.033 0.058 0.000 0.611 0.000 0.000 0.000

Problem 2303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

275 275 389 313 0 18 0 0 -1

N.S.

1 1.00 1.41 1.14 0.00 0.07 0.00 0.00 -0.00

time (sec)

N/A 0.079 30.727 0.064 0.000 0.818 0.000 0.000 0.000

Problem 2304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

304 304 417 584 0 62 0 0 -1

N.S.

1 1.00 1.37 1.92 0.00 0.20 0.00 0.00 -0.00

time (sec)

N/A 0.124 30.643 0.092 0.000 0.445 0.000 0.000 0.000

Problem 2305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

351 351 435 1152 0 95 0 0 -1

N.S.

1 1.00 1.24 3.28 0.00 0.27 0.00 0.00 -0.00

time (sec)

N/A 0.144 31.100 0.100 0.000 0.742 0.000 0.000 0.000

Problem 2306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

134 133 251 283 248 248 332 312 270

N.S.

1 0.99 1.87 2.11 1.85 1.85 2.48 2.33 2.01

time (sec)

N/A 0.179 0.096 0.031 0.272 2.590 0.028 1.446 0.130

Problem 2307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

134 133 192 214 192 193 252 241 206

N.S.

1 0.99 1.43 1.60 1.43 1.44 1.88 1.80 1.54

time (sec)

N/A 0.126 0.062 0.030 0.279 2.870 0.023 1.306 2.355

Problem 2308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

134 133 137 145 136 138 172 171 143

N.S.

1 0.99 1.02 1.08 1.01 1.03 1.28 1.28 1.07

time (sec)

N/A 0.092 0.043 0.029 0.267 2.713 0.018 0.819 2.324

Problem 2309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

80 80 80 76 80 83 94 100 79

N.S.

1 1.00 1.00 0.95 1.00 1.04 1.18 1.25 0.99

time (sec)

N/A 0.055 0.021 0.024 0.291 2.636 0.011 1.583 0.034

Problem 2310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.010 0.023 0.269 2.615 0.009 0.965 0.042

Problem 2311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

111 109 100 135 126 118 107 136 130

N.S.

1 0.98 0.90 1.22 1.14 1.06 0.96 1.23 1.17

time (sec)

N/A 0.091 0.036 0.020 0.297 2.989 0.221 0.775 2.365

Problem 2312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

116 114 106 129 131 183 143 200 137

N.S.

1 0.98 0.91 1.11 1.13 1.58 1.23 1.72 1.18

time (sec)

N/A 0.088 0.055 0.023 0.277 3.418 0.523 1.263 0.091

Problem 2313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

119 119 135 133 138 193 162 129 142

N.S.

1 1.00 1.13 1.12 1.16 1.62 1.36 1.08 1.19

time (sec)

N/A 0.078 0.051 0.022 0.267 2.376 2.054 1.899 0.123

Problem 2314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

127 126 130 140 154 173 184 138 154

N.S.

1 0.99 1.02 1.10 1.21 1.36 1.45 1.09 1.21

time (sec)

N/A 0.074 0.050 0.025 0.263 2.919 6.793 1.541 2.374

Problem 2315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

132 131 118 142 153 143 194 220 158

N.S.

1 0.99 0.89 1.08 1.16 1.08 1.47 1.67 1.20

time (sec)

N/A 0.069 0.043 0.025 0.273 2.306 18.800 1.805 0.075

Problem 2316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

134 133 122 142 170 155 212 135 180

N.S.

1 0.99 0.91 1.06 1.27 1.16 1.58 1.01 1.34

time (sec)

N/A 0.069 0.045 0.026 0.277 2.047 87.857 1.574 0.087

Problem 2317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

134 133 119 142 173 163 0 132 182

N.S.

1 0.99 0.89 1.06 1.29 1.22 0.00 0.99 1.36

time (sec)

N/A 0.069 0.043 0.030 0.278 1.759 0.000 1.568 2.361

Problem 2318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

304 302 665 671 682 653 957 883 739

N.S.

1 0.99 2.19 2.21 2.24 2.15 3.15 2.90 2.43

time (sec)

N/A 0.546 0.217 0.081 0.279 2.628 0.064 1.164 0.274

Problem 2319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

304 302 550 545 560 538 765 719 594

N.S.

1 0.99 1.81 1.79 1.84 1.77 2.52 2.37 1.95

time (sec)

N/A 0.405 0.173 0.064 0.267 2.927 0.054 1.198 2.481

Problem 2320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

304 302 421 419 438 423 583 556 450

N.S.

1 0.99 1.38 1.38 1.44 1.39 1.92 1.83 1.48

time (sec)

N/A 0.329 0.134 0.060 0.288 3.593 0.044 1.737 0.137

Problem 2321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

304 302 301 293 316 308 405 396 310

N.S.

1 0.99 0.99 0.96 1.04 1.01 1.33 1.30 1.02

time (sec)

N/A 0.276 0.100 0.061 0.294 4.137 0.033 1.214 2.331

Problem 2322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

180 180 180 167 194 193 231 237 184

N.S.

1 1.00 1.00 0.93 1.08 1.07 1.28 1.32 1.02

time (sec)

N/A 0.197 0.056 0.052 0.270 3.455 0.023 2.985 2.334

Problem 2323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

96 96 96 91 90 90 100 99 89

N.S.

1 1.00 1.00 0.95 0.94 0.94 1.04 1.03 0.93

time (sec)

N/A 0.065 0.017 0.051 0.275 2.845 0.016 1.716 2.239

Problem 2324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

257 257 298 486 398 371 372 463 423

N.S.

1 1.00 1.16 1.89 1.55 1.44 1.45 1.80 1.65

time (sec)

N/A 0.321 0.127 0.050 0.340 2.644 0.601 1.706 0.083

Problem 2325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

267 264 250 465 408 545 442 551 499

N.S.

1 0.99 0.94 1.74 1.53 2.04 1.66 2.06 1.87

time (sec)

N/A 0.296 0.083 0.057 0.278 2.847 1.918 1.742 0.121

Problem 2326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

281 280 262 450 419 595 534 430 468

N.S.

1 1.00 0.93 1.60 1.49 2.12 1.90 1.53 1.67

time (sec)

N/A 0.286 0.088 0.056 0.284 2.558 11.995 1.777 2.392

Problem 2327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

286 284 263 438 430 590 547 424 465

N.S.

1 0.99 0.92 1.53 1.50 2.06 1.91 1.48 1.63

time (sec)

N/A 0.261 0.082 0.057 0.295 2.835 177.874 1.863 2.371

Problem 2328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

289 287 391 444 433 546 0 719 475

N.S.

1 0.99 1.35 1.54 1.50 1.89 0.00 2.49 1.64

time (sec)

N/A 0.235 0.192 0.057 0.284 2.659 0.000 1.966 2.418

Problem 2329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

297 295 386 451 451 475 0 426 483

N.S.

1 0.99 1.30 1.52 1.52 1.60 0.00 1.43 1.63

time (sec)

N/A 0.223 0.148 0.060 0.282 2.169 0.000 1.545 2.503

Problem 2330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

302 300 372 453 449 411 0 460 485

N.S.

1 0.99 1.23 1.50 1.49 1.36 0.00 1.52 1.61

time (sec)

N/A 0.211 0.135 0.059 0.311 2.458 0.000 2.547 0.156

Problem 2331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

304 302 377 453 467 424 0 462 505

N.S.

1 0.99 1.24 1.49 1.54 1.39 0.00 1.52 1.66

time (sec)

N/A 0.206 0.145 0.061 0.312 2.035 0.000 1.376 0.173

Problem 2332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

304 302 375 453 477 433 0 462 516

N.S.

1 0.99 1.23 1.49 1.57 1.42 0.00 1.52 1.70

time (sec)

N/A 0.204 0.136 0.068 0.317 3.474 0.000 1.451 2.433

Problem 2333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B B A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

555 553 1178 1263 1201 1116 1731 1603 1348

N.S.

1 1.00 2.12 2.28 2.16 2.01 3.12 2.89 2.43

time (sec)

N/A 1.185 0.428 0.069 0.287 2.039 0.107 1.480 2.656

Problem 2334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

555 553 957 1041 990 922 1401 1313 1093

N.S.

1 1.00 1.72 1.88 1.78 1.66 2.52 2.37 1.97

time (sec)

N/A 0.921 0.339 0.066 0.289 2.478 0.086 1.740 0.293

Problem 2335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

555 553 715 819 765 728 1080 1020 835

N.S.

1 1.00 1.29 1.48 1.38 1.31 1.95 1.84 1.50

time (sec)

N/A 0.724 0.248 0.064 0.277 3.539 0.071 1.293 0.217

Problem 2336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

555 553 526 597 568 534 753 727 578

N.S.

1 1.00 0.95 1.08 1.02 0.96 1.36 1.31 1.04

time (sec)

N/A 0.573 0.199 0.060 0.278 2.870 0.052 1.168 2.493

Problem 2337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

310 310 310 375 357 340 435 437 338

N.S.

1 1.00 1.00 1.21 1.15 1.10 1.40 1.41 1.09

time (sec)

N/A 0.434 0.116 0.053 0.281 5.500 0.037 1.482 0.127

Problem 2338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

158 158 158 223 162 162 190 187 163

N.S.

1 1.00 1.00 1.41 1.03 1.03 1.20 1.18 1.03

time (sec)

N/A 0.144 0.031 0.053 0.305 2.628 0.023 1.278 0.070

Problem 2339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

544 541 700 1199 912 829 979 1130 968

N.S.

1 0.99 1.29 2.20 1.68 1.52 1.80 2.08 1.78

time (sec)

N/A 0.803 0.330 0.057 0.277 3.590 1.254 1.134 2.369

Problem 2340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

525 522 922 1156 924 1154 1056 1200 1483

N.S.

1 0.99 1.76 2.20 1.76 2.20 2.01 2.29 2.82

time (sec)

N/A 0.720 0.406 0.064 0.288 3.022 4.997 1.476 2.441

Problem 2341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

531 530 503 1116 932 1273 1149 1048 1297

N.S.

1 1.00 0.95 2.10 1.76 2.40 2.16 1.97 2.44

time (sec)

N/A 0.706 0.200 0.065 0.401 4.030 41.600 1.412 2.506

Problem 2342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

521 519 488 1089 946 1332 0 1021 1151

N.S.

1 1.00 0.94 2.09 1.82 2.56 0.00 1.96 2.21

time (sec)

N/A 0.656 0.185 0.067 0.309 3.894 0.000 1.757 2.528

Problem 2343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

533 531 496 1066 952 1298 0 1567 1106

N.S.

1 1.00 0.93 2.00 1.79 2.44 0.00 2.94 2.08

time (sec)

N/A 0.597 0.186 0.068 0.305 4.114 0.000 0.967 2.537

Problem 2344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

534 532 885 1053 966 1202 0 998 1106

N.S.

1 1.00 1.66 1.97 1.81 2.25 0.00 1.87 2.07

time (sec)

N/A 0.558 0.409 0.069 0.326 2.417 0.000 0.887 0.261

Problem 2345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

541 539 868 1058 968 1104 0 989 1598

N.S.

1 1.00 1.60 1.96 1.79 2.04 0.00 1.83 2.95

time (sec)

N/A 0.501 0.511 0.069 0.322 2.712 0.000 1.519 2.543

Problem 2346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

548 546 863 1065 987 978 0 1001 1353

N.S.

1 1.00 1.57 1.94 1.80 1.78 0.00 1.83 2.47

time (sec)

N/A 0.461 0.353 0.070 0.303 3.153 0.000 2.106 2.577

Problem 2347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

550 548 847 1067 980 883 0 1127 1115

N.S.

1 1.00 1.54 1.94 1.78 1.61 0.00 2.05 2.03

time (sec)

N/A 0.420 0.339 0.074 0.318 2.345 0.000 1.327 0.279

Problem 2348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

555 553 852 1067 1003 897 0 1129 1142

N.S.

1 1.00 1.54 1.92 1.81 1.62 0.00 2.03 2.06

time (sec)

N/A 0.422 0.351 0.076 0.326 3.897 0.000 0.874 2.568

Problem 2349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

555 553 849 1067 1013 907 0 1129 1153

N.S.

1 1.00 1.53 1.92 1.83 1.63 0.00 2.03 2.08

time (sec)

N/A 0.419 0.367 0.086 0.371 3.870 0.000 0.935 2.680

Problem 2350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

121 121 142 281 218 274 3267 606 300

N.S.

1 1.00 1.17 2.32 1.80 2.26 27.00 5.01 2.48

time (sec)

N/A 0.055 0.225 0.028 0.291 4.243 0.946 1.117 2.548

Problem 2351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 166 172 159 173 192 177 160

N.S.

1 1.00 1.61 1.67 1.54 1.68 1.86 1.72 1.55

time (sec)

N/A 0.112 0.030 0.031 0.288 3.060 0.023 1.492 2.358

Problem 2352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 140 139 132 141 153 143 132

N.S.

1 1.00 1.36 1.35 1.28 1.37 1.49 1.39 1.28

time (sec)

N/A 0.088 0.023 0.029 0.263 2.375 0.019 0.990 0.056

Problem 2353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 109 106 102 109 116 111 104

N.S.

1 1.00 1.06 1.03 0.99 1.06 1.13 1.08 1.01

time (sec)

N/A 0.071 0.020 0.027 0.262 2.108 0.016 1.432 2.237

Problem 2354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

78 78 70 73 72 77 80 79 73

N.S.

1 1.00 0.90 0.94 0.92 0.99 1.03 1.01 0.94

time (sec)

N/A 0.049 0.017 0.028 0.272 3.054 0.012 1.569 0.033

Problem 2355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

47 47 41 40 42 45 42 46 41

N.S.

1 1.00 0.87 0.85 0.89 0.96 0.89 0.98 0.87

time (sec)

N/A 0.026 0.010 0.024 0.283 2.531 0.009 1.352 0.043

Problem 2356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.001 0.022 0.270 2.347 0.008 1.970 0.029

Problem 2357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

79 79 74 79 79 78 71 82 85

N.S.

1 1.00 0.94 1.00 1.00 0.99 0.90 1.04 1.08

time (sec)

N/A 0.051 0.020 0.023 0.278 3.359 0.114 1.255 2.344

Problem 2358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

84 84 79 78 84 125 82 131 88

N.S.

1 1.00 0.94 0.93 1.00 1.49 0.98 1.56 1.05

time (sec)

N/A 0.062 0.041 0.020 0.265 2.257 0.226 1.897 2.336

Problem 2359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

89 89 80 84 92 139 97 82 96

N.S.

1 1.00 0.90 0.94 1.03 1.56 1.09 0.92 1.08

time (sec)

N/A 0.058 0.039 0.022 0.271 2.605 0.436 1.100 2.351

Problem 2360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

96 96 86 91 106 131 114 88 107

N.S.

1 1.00 0.90 0.95 1.10 1.36 1.19 0.92 1.11

time (sec)

N/A 0.053 0.024 0.022 0.297 2.210 0.743 1.704 0.085

Problem 2361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 77 93 107 106 126 128 111

N.S.

1 1.00 0.76 0.92 1.06 1.05 1.25 1.27 1.10

time (sec)

N/A 0.050 0.021 0.022 0.282 2.226 1.247 1.116 0.057

Problem 2362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 79 93 122 118 141 80 128

N.S.

1 1.00 0.77 0.90 1.18 1.15 1.37 0.78 1.24

time (sec)

N/A 0.050 0.022 0.024 0.272 1.992 2.145 1.327 0.064

Problem 2363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 77 93 126 125 150 78 133

N.S.

1 1.00 0.75 0.90 1.22 1.21 1.46 0.76 1.29

time (sec)

N/A 0.049 0.022 0.026 0.300 2.252 4.001 1.150 2.345

Problem 2364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

357 357 352 437 0 1123 2759 402 539

N.S.

1 1.00 0.99 1.22 0.00 3.15 7.73 1.13 1.51

time (sec)

N/A 0.452 0.211 0.163 0.000 2.383 16.160 1.714 3.106

Problem 2365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

205 205 203 221 0 667 1532 219 316

N.S.

1 1.00 0.99 1.08 0.00 3.25 7.47 1.07 1.54

time (sec)

N/A 0.252 0.119 0.111 0.000 2.583 6.558 1.634 2.783

Problem 2366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

108 108 108 108 0 375 677 112 163

N.S.

1 1.00 1.00 1.00 0.00 3.47 6.27 1.04 1.51

time (sec)

N/A 0.077 0.065 0.089 0.000 2.116 2.122 1.109 2.704

Problem 2367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) A B A B

verified

N/A Yes Yes TBD 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 0.025 0.039 0.065 0.000 2.030 0.417 0.797 0.115

Problem 2368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

146 146 125 145 0 417 0 155 1027

N.S.

1 1.00 0.86 0.99 0.00 2.86 0.00 1.06 7.03

time (sec)

N/A 0.142 0.085 0.125 0.000 10.361 0.000 0.799 8.696

Problem 2369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 219 276 0 1589 0 383 2650

N.S.

1 1.00 0.86 1.08 0.00 6.23 0.00 1.50 10.39

time (sec)

N/A 0.285 0.257 0.168 0.000 145.199 0.000 0.858 7.218

Problem 2370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

414 414 413 487 0 0 0 797 2500

N.S.

1 1.00 1.00 1.18 0.00 0.00 0.00 1.93 6.04

time (sec)

N/A 0.512 0.325 0.279 0.000 0.000 0.000 0.849 26.751

Problem 2371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

543 543 897 1501 0 5701 0 1316 1763

N.S.

1 1.00 1.65 2.76 0.00 10.50 0.00 2.42 3.25

time (sec)

N/A 0.814 1.285 0.182 0.000 4.122 0.000 0.711 5.593

Problem 2372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

195 195 550 982 0 3977 0 979 1167

N.S.

1 1.00 2.82 5.04 0.00 20.39 0.00 5.02 5.98

time (sec)

N/A 0.110 0.670 0.102 0.000 3.132 0.000 1.271 3.356

Problem 2373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F(-2) B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

305 303 408 646 0 2944 2076 645 913

N.S.

1 0.99 1.34 2.12 0.00 9.65 6.81 2.11 2.99

time (sec)

N/A 0.250 0.444 0.103 0.000 3.136 70.353 2.079 3.226

Problem 2374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

221 219 216 381 0 1873 1234 369 555

N.S.

1 0.99 0.98 1.72 0.00 8.48 5.58 1.67 2.51

time (sec)

N/A 0.120 0.269 0.085 0.000 3.853 7.424 1.380 0.594

Problem 2375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B B A B

verified

N/A Yes Yes TBD 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 0.036 0.091 0.074 0.000 3.771 0.994 1.704 2.571

Problem 2376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

666 664 668 2087 0 0 0 2288 2500

N.S.

1 1.00 1.00 3.13 0.00 0.00 0.00 3.44 3.75

time (sec)

N/A 1.761 1.861 0.250 0.000 0.000 0.000 1.494 8.102

Problem 2377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

1043 1043 1050 3177 0 0 0 3417 2500

N.S.

1 1.00 1.01 3.05 0.00 0.00 0.00 3.28 2.40

time (sec)

N/A 4.158 5.729 0.331 0.000 0.000 0.000 3.263 12.999

Problem 2378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 43 34 33 33 41 35 31

N.S.

1 1.00 1.00 0.79 0.77 0.77 0.95 0.81 0.72

time (sec)

N/A 0.016 0.016 0.035 0.287 4.531 0.047 0.878 0.054

Problem 2379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 36 35 29 28 28 34 30 26

N.S.

1 1.00 0.97 0.81 0.78 0.78 0.94 0.83 0.72

time (sec)

N/A 0.015 0.011 0.033 0.296 3.454 0.046 1.490 2.305

Problem 2380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 34 24 23 23 27 25 21

N.S.

1 1.00 1.17 0.83 0.79 0.79 0.93 0.86 0.72

time (sec)

N/A 0.014 0.011 0.033 0.266 3.024 0.044 1.326 0.034

Problem 2381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 22 22 19 18 18 20 20 16

N.S.

1 1.00 1.00 0.86 0.82 0.82 0.91 0.91 0.73

time (sec)

N/A 0.009 0.004 0.026 0.304 2.308 0.041 1.141 0.038

Problem 2382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

17 17 17 16 15 15 15 17 13

N.S.

1 1.00 1.00 0.94 0.88 0.88 0.88 1.00 0.76

time (sec)

N/A 0.004 0.003 0.027 0.280 2.640 0.034 0.778 2.323

Problem 2383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 27 24 23 23 26 26 19

N.S.

1 1.00 1.00 0.89 0.85 0.85 0.96 0.96 0.70

time (sec)

N/A 0.016 0.006 0.035 0.272 2.696 0.051 0.708 0.053

Problem 2384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 38 33 32 48 32 40 28

N.S.

1 1.00 1.00 0.87 0.84 1.26 0.84 1.05 0.74

time (sec)

N/A 0.020 0.019 0.035 0.295 2.992 0.066 0.783 2.289

Problem 2385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

49 49 47 42 42 71 41 40 36

N.S.

1 1.00 0.96 0.86 0.86 1.45 0.84 0.82 0.73

time (sec)

N/A 0.021 0.018 0.036 0.271 3.758 0.076 0.764 0.042

Problem 2386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

60 60 62 51 52 96 51 45 46

N.S.

1 1.00 1.03 0.85 0.87 1.60 0.85 0.75 0.77

time (sec)

N/A 0.025 0.022 0.037 0.279 2.472 0.084 1.080 0.041

Problem 2387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.034 0.025 0.036 0.266 3.293 0.065 0.983 0.039

Problem 2388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.030 0.023 0.034 0.330 2.799 0.063 1.509 2.258

Problem 2389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.035 0.270 2.631 0.060 1.470 0.050

Problem 2390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.010 0.031 0.266 3.372 0.050 1.583 2.270

Problem 2391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.030 0.266 2.797 0.046 1.165 2.261

Problem 2392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.025 0.023 0.038 0.296 4.243 0.078 1.124 0.040

Problem 2393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.022 0.038 0.263 2.816 0.082 1.622 2.322

Problem 2394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD 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 0.032 0.024 0.041 0.265 3.427 0.093 2.217 2.315

Problem 2395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

88 88 75 67 72 146 71 67 66

N.S.

1 1.00 0.85 0.76 0.82 1.66 0.81 0.76 0.75

time (sec)

N/A 0.037 0.031 0.040 0.269 3.422 0.102 2.202 2.366

Problem 2396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

64 64 81 51 57 103 58 49 52

N.S.

1 1.00 1.27 0.80 0.89 1.61 0.91 0.77 0.81

time (sec)

N/A 0.052 0.023 0.037 0.290 3.165 0.082 2.781 2.439

Problem 2397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

59 59 62 48 54 93 53 46 49

N.S.

1 1.00 1.05 0.81 0.92 1.58 0.90 0.78 0.83

time (sec)

N/A 0.032 0.026 0.036 0.279 2.486 0.079 2.691 2.447

Problem 2398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

69 69 59 48 54 93 51 46 45

N.S.

1 1.00 0.86 0.70 0.78 1.35 0.74 0.67 0.65

time (sec)

N/A 0.020 0.020 0.034 0.259 2.834 0.069 2.979 0.048

Problem 2399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

57 57 56 48 54 93 51 46 45

N.S.

1 1.00 0.98 0.84 0.95 1.63 0.89 0.81 0.79

time (sec)

N/A 0.028 0.022 0.035 0.270 2.851 0.067 2.523 2.837

Problem 2400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

57 57 57 48 54 93 51 46 45

N.S.

1 1.00 1.00 0.84 0.95 1.63 0.89 0.81 0.79

time (sec)

N/A 0.013 0.014 0.032 0.295 1.833 0.067 2.872 2.302

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