Integrals 301 to 397

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

verified

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

size

22 22 24 22 1331 24 20 24 26

N.S.

1 1.00 1.09 1.00 60.50 1.09 0.91 1.09 1.18

time (sec)

N/A 0.100 32.615 0.345 2.046 0.257 0.441 5.855 25.069

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 1645 35 22 24 26

N.S.

1 1.00 1.09 1.00 74.77 1.59 1.00 1.09 1.18

time (sec)

N/A 0.103 33.366 0.376 5.264 0.261 0.708 28.890 25.722

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

16 16 18 16 18 18 15 18 18

N.S.

1 1.00 1.12 1.00 1.12 1.12 0.94 1.12 1.12

time (sec)

N/A 0.042 10.901 0.194 0.760 0.245 1.555 0.855 25.339

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

259 259 814 729 2413 592 0 0 0

N.S.

1 1.00 3.14 2.81 9.32 2.29 0.00 0.00 0.00

time (sec)

N/A 0.406 6.923 0.725 0.899 0.266 0.000 0.000 0.000

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

169 169 454 409 1228 354 0 0 0

N.S.

1 1.00 2.69 2.42 7.27 2.09 0.00 0.00 0.00

time (sec)

N/A 0.255 6.738 0.698 0.500 0.263 0.000 0.000 0.000

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 240 183 517 168 0 0 0

N.S.

1 1.00 2.22 1.69 4.79 1.56 0.00 0.00 0.00

time (sec)

N/A 0.136 6.260 0.492 0.436 0.257 0.000 0.000 0.000

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

16 16 18 16 1077 18 14 18 18

N.S.

1 1.00 1.12 1.00 67.31 1.12 0.88 1.12 1.12

time (sec)

N/A 0.043 9.480 0.280 1.605 0.236 0.366 0.837 25.567

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

16 16 18 16 1386 29 15 18 18

N.S.

1 1.00 1.12 1.00 86.62 1.81 0.94 1.12 1.12

time (sec)

N/A 0.042 9.172 0.314 6.830 0.240 0.530 12.457 28.069

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 24 24 0 24 26

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.18

time (sec)

N/A 0.330 21.030 0.192 0.551 0.272 0.000 0.326 25.794

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

399 399 2227 1729 8853 0 0 0 0

N.S.

1 1.00 5.58 4.33 22.19 0.00 0.00 0.00 0.00

time (sec)

N/A 1.135 7.646 1.026 4.271 0.000 0.000 0.000 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

325 325 1535 1115 4954 2268 0 0 0

N.S.

1 1.00 4.72 3.43 15.24 6.98 0.00 0.00 0.00

time (sec)

N/A 0.814 6.934 0.924 1.408 0.423 0.000 0.000 0.000

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

201 201 883 614 2447 1404 0 0 0

N.S.

1 1.00 4.39 3.05 12.17 6.99 0.00 0.00 0.00

time (sec)

N/A 0.512 6.649 0.836 0.630 0.360 0.000 0.000 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 141 224 270 1028 760 0 0 0

N.S.

1 1.01 1.61 1.94 7.40 5.47 0.00 0.00 0.00

time (sec)

N/A 0.150 1.111 0.612 0.465 0.320 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 1865 24 20 24 26

N.S.

1 1.00 1.09 1.00 84.77 1.09 0.91 1.09 1.18

time (sec)

N/A 0.211 7.899 0.418 1.712 0.326 2.522 0.681 25.311

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 2516 35 22 0 26

N.S.

1 1.00 1.09 1.00 114.36 1.59 1.00 0.00 1.18

time (sec)

N/A 0.246 5.651 0.398 5.429 0.354 4.866 0.000 25.463

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 26 26 0 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.00 1.08 1.08

time (sec)

N/A 0.325 25.379 0.192 0.833 0.262 0.000 0.361 25.381

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

486 486 819 1629 8046 2226 0 0 0

N.S.

1 1.00 1.69 3.35 16.56 4.58 0.00 0.00 0.00

time (sec)

N/A 1.409 7.510 1.356 3.832 0.434 0.000 0.000 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

341 341 889 770 3828 1366 0 0 0

N.S.

1 1.00 2.61 2.26 11.23 4.01 0.00 0.00 0.00

time (sec)

N/A 0.745 7.326 1.050 1.116 0.370 0.000 0.000 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

162 182 669 344 0 592 0 0 0

N.S.

1 1.12 4.13 2.12 0.00 3.65 0.00 0.00 0.00

time (sec)

N/A 0.206 6.962 0.900 0.000 0.322 0.000 0.000 0.000

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 3695 26 22 26 26

N.S.

1 1.00 1.08 1.00 153.96 1.08 0.92 1.08 1.08

time (sec)

N/A 0.258 14.975 0.401 2.620 0.286 7.450 117.094 25.835

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 4747 37 24 0 26

N.S.

1 1.00 1.08 1.00 197.79 1.54 1.00 0.00 1.08

time (sec)

N/A 0.260 18.717 0.364 7.398 0.314 14.814 0.000 25.670

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 26 26 0 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.00 1.08 1.08

time (sec)

N/A 0.276 28.976 0.221 0.593 0.243 0.000 0.367 25.125

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

318 318 483 1329 5646 4193 0 0 0

N.S.

1 1.00 1.52 4.18 17.75 13.19 0.00 0.00 0.00

time (sec)

N/A 0.359 6.266 1.224 2.417 0.474 0.000 0.000 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

190 190 381 716 2728 2387 0 0 0

N.S.

1 1.00 2.01 3.77 14.36 12.56 0.00 0.00 0.00

time (sec)

N/A 0.230 7.567 0.964 0.761 0.401 0.000 0.000 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 110 236 325 1070 1193 0 0 0

N.S.

1 1.00 2.15 2.95 9.73 10.85 0.00 0.00 0.00

time (sec)

N/A 0.120 1.894 0.799 0.512 0.329 0.000 0.000 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 2410 26 22 26 26

N.S.

1 1.00 1.08 1.00 100.42 1.08 0.92 1.08 1.08

time (sec)

N/A 0.097 21.758 0.475 3.931 0.281 20.257 3.106 26.024

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 3083 37 24 0 26

N.S.

1 1.00 1.08 1.00 128.46 1.54 1.00 0.00 1.08

time (sec)

N/A 0.102 24.774 0.358 13.684 0.323 41.092 0.000 26.574

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

83 83 73 0 0 0 0 0 0

N.S.

1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.063 0.416 0.000 0.000 0.000 0.000 0.000 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

60 60 51 0 0 0 0 0 0

N.S.

1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.044 0.419 0.000 0.000 0.000 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

60 60 52 0 0 0 0 0 0

N.S.

1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.042 0.248 0.000 0.000 0.000 0.000 0.000 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 33 66 310 0 0 0 0 0

N.S.

1 1.00 2.00 9.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.029 0.694 0.365 0.000 0.000 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 33 33 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.029 0.271 0.000 0.000 0.000 0.000 0.000 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

60 60 54 0 0 0 0 0 0

N.S.

1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.042 0.285 0.000 0.000 0.000 0.000 0.000 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

60 60 53 0 0 0 0 0 0

N.S.

1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.042 0.321 0.000 0.000 0.000 0.000 0.000 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

83 83 65 0 0 0 0 0 0

N.S.

1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.059 0.345 0.000 0.000 0.000 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

103 103 65 0 0 0 0 0 0

N.S.

1 1.00 0.63 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.069 0.369 0.000 0.000 0.000 0.000 0.000 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

80 80 61 0 0 0 0 0 0

N.S.

1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.068 0.298 0.000 0.000 0.000 0.000 0.000 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

80 80 54 0 0 0 0 0 0

N.S.

1 1.00 0.68 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.058 0.275 0.000 0.000 0.000 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

53 53 42 0 0 0 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.045 0.221 0.000 0.000 0.000 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

53 53 66 310 0 0 0 0 0

N.S.

1 1.00 1.25 5.85 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.048 0.637 0.300 0.000 0.000 0.000 0.000 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

80 80 63 0 0 0 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.068 0.359 0.000 0.000 0.000 0.000 0.000 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

80 80 97 0 0 0 0 0 0

N.S.

1 1.00 1.21 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.068 0.827 0.000 0.000 0.000 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

103 103 89 0 0 0 0 0 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.088 0.423 0.000 0.000 0.000 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

88 88 67 0 0 0 0 0 0

N.S.

1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.059 0.565 0.000 0.000 0.000 0.000 0.000 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

65 65 108 0 0 0 0 0 0

N.S.

1 1.00 1.66 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.046 2.158 0.000 0.000 0.000 0.000 0.000 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

65 65 56 0 0 0 0 0 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.046 0.263 0.000 0.000 0.000 0.000 0.000 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 86 308 0 0 0 0 0

N.S.

1 1.00 2.26 8.11 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.031 6.569 0.368 0.000 0.000 0.000 0.000 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

38 38 37 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.032 0.312 0.000 0.000 0.000 0.000 0.000 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

65 65 56 0 0 0 0 0 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.043 0.271 0.000 0.000 0.000 0.000 0.000 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

65 65 57 0 0 0 0 0 0

N.S.

1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.046 0.312 0.000 0.000 0.000 0.000 0.000 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

88 88 73 0 0 0 0 0 0

N.S.

1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.063 0.345 0.000 0.000 0.000 0.000 0.000 0.000

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

108 108 73 0 0 0 0 0 0

N.S.

1 1.00 0.68 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.078 0.395 0.000 0.000 0.000 0.000 0.000 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

85 85 65 0 0 0 0 0 0

N.S.

1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.052 0.405 0.000 0.000 0.000 0.000 0.000 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

85 85 56 0 0 0 0 0 0

N.S.

1 1.00 0.66 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.061 0.291 0.000 0.000 0.000 0.000 0.000 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

58 58 46 0 0 0 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.041 0.258 0.000 0.000 0.000 0.000 0.000 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 58 106 308 0 0 0 0 0

N.S.

1 1.00 1.83 5.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.040 1.866 0.349 0.000 0.000 0.000 0.000 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

85 85 65 0 0 0 0 0 0

N.S.

1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.053 0.381 0.000 0.000 0.000 0.000 0.000 0.000

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

85 85 114 0 0 0 0 0 0

N.S.

1 1.00 1.34 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.061 1.283 0.000 0.000 0.000 0.000 0.000 0.000

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

108 108 93 0 0 0 0 0 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.076 0.511 0.000 0.000 0.000 0.000 0.000 0.000

Problem 360

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

31 31 22 19 18 17 19 18 18

N.S.

1 1.00 0.71 0.61 0.58 0.55 0.61 0.58 0.58

time (sec)

N/A 0.049 0.014 0.316 0.208 0.239 0.981 0.261 0.120

Problem 361

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

131 131 154 174 146 200 223 167 212

N.S.

1 1.00 1.18 1.33 1.11 1.53 1.70 1.27 1.62

time (sec)

N/A 0.240 0.143 2.125 0.244 0.249 14.916 0.274 26.263

Problem 362

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

115 115 109 119 101 127 139 112 136

N.S.

1 1.00 0.95 1.03 0.88 1.10 1.21 0.97 1.18

time (sec)

N/A 0.181 0.113 1.126 0.204 0.247 7.780 0.279 0.437

Problem 363

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

73 73 60 70 60 70 75 64 73

N.S.

1 1.00 0.82 0.96 0.82 0.96 1.03 0.88 1.00

time (sec)

N/A 0.133 0.077 0.791 0.228 0.246 3.887 0.265 25.723

Problem 364

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

41 41 34 28 27 27 29 27 30

N.S.

1 1.00 0.83 0.68 0.66 0.66 0.71 0.66 0.73

time (sec)

N/A 0.078 0.052 0.437 0.216 0.245 1.689 0.260 26.281

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 49 58 97 51 0 51 0

N.S.

1 1.00 0.86 1.02 1.70 0.89 0.00 0.89 0.00

time (sec)

N/A 0.349 0.049 0.681 0.249 0.246 0.000 0.262 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

78 78 61 82 330 76 0 111 0

N.S.

1 1.00 0.78 1.05 4.23 0.97 0.00 1.42 0.00

time (sec)

N/A 0.299 0.114 1.026 0.266 0.257 0.000 0.258 0.000

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 99 77 104 365 128 0 201 0

N.S.

1 1.00 0.78 1.05 3.69 1.29 0.00 2.03 0.00

time (sec)

N/A 0.425 0.181 2.072 0.300 0.255 0.000 0.271 0.000

Problem 368

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

198 198 128 226 244 283 0 1255 344

N.S.

1 1.00 0.65 1.14 1.23 1.43 0.00 6.34 1.74

time (sec)

N/A 0.311 0.427 1.913 0.276 0.257 0.000 0.440 26.454

Problem 369

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

171 171 105 156 173 188 0 682 216

N.S.

1 1.00 0.61 0.91 1.01 1.10 0.00 3.99 1.26

time (sec)

N/A 0.223 0.258 0.974 0.257 0.254 0.000 0.368 26.394

Problem 370

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

112 112 73 95 108 111 0 313 121

N.S.

1 1.00 0.65 0.85 0.96 0.99 0.00 2.79 1.08

time (sec)

N/A 0.168 0.271 0.692 0.236 0.242 0.000 0.317 0.372

Problem 371

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

66 66 46 44 55 54 0 106 53

N.S.

1 1.00 0.70 0.67 0.83 0.82 0.00 1.61 0.80

time (sec)

N/A 0.083 0.134 0.302 0.232 0.254 0.000 0.283 0.271

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 63 106 119 71 0 102 0

N.S.

1 1.00 0.89 1.49 1.68 1.00 0.00 1.44 0.00

time (sec)

N/A 0.333 0.145 0.571 0.265 0.248 0.000 0.290 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

102 102 81 155 120 106 0 308 0

N.S.

1 1.00 0.79 1.52 1.18 1.04 0.00 3.02 0.00

time (sec)

N/A 0.331 0.411 0.971 0.326 0.255 0.000 0.313 0.000

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 136 104 207 132 182 0 704 0

N.S.

1 1.00 0.76 1.52 0.97 1.34 0.00 5.18 0.00

time (sec)

N/A 0.458 0.737 1.795 0.292 0.254 0.000 0.340 0.000

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

205 205 125 243 143 286 0 1305 0

N.S.

1 1.00 0.61 1.19 0.70 1.40 0.00 6.37 0.00

time (sec)

N/A 0.445 0.800 3.634 0.311 0.267 0.000 0.377 0.000

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

255 255 459 849 606 929 0 0 0

N.S.

1 1.00 1.80 3.33 2.38 3.64 0.00 0.00 0.00

time (sec)

N/A 0.410 0.823 2.968 0.420 0.315 0.000 0.000 0.000

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

172 172 223 481 413 566 0 0 0

N.S.

1 1.00 1.30 2.80 2.40 3.29 0.00 0.00 0.00

time (sec)

N/A 0.281 0.602 2.635 0.424 0.313 0.000 0.000 0.000

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

95 95 171 205 0 281 0 0 0

N.S.

1 1.00 1.80 2.16 0.00 2.96 0.00 0.00 0.00

time (sec)

N/A 0.131 0.621 1.230 0.000 0.273 0.000 0.000 0.000

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 25 230 27 24 27 27

N.S.

1 1.00 1.08 1.00 9.20 1.08 0.96 1.08 1.08

time (sec)

N/A 0.293 4.239 0.589 0.358 0.243 125.857 1.174 30.429

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 25 342 38 0 27 27

N.S.

1 1.00 1.08 1.00 13.68 1.52 0.00 1.08 1.08

time (sec)

N/A 0.329 4.563 0.676 0.393 0.248 0.000 1.991 33.087

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 25 463 49 0 27 27

N.S.

1 1.00 1.08 1.00 18.52 1.96 0.00 1.08 1.08

time (sec)

N/A 0.399 5.423 0.637 0.427 0.247 0.000 4.521 34.237

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

299 299 2529 965 610 1652 0 0 0

N.S.

1 1.00 8.46 3.23 2.04 5.53 0.00 0.00 0.00

time (sec)

N/A 0.583 6.404 6.243 0.360 0.350 0.000 0.000 0.000

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

242 242 1730 648 444 1126 0 0 0

N.S.

1 1.00 7.15 2.68 1.83 4.65 0.00 0.00 0.00

time (sec)

N/A 0.501 6.364 2.876 0.336 0.345 0.000 0.000 0.000

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

173 173 516 386 303 681 0 0 0

N.S.

1 1.00 2.98 2.23 1.75 3.94 0.00 0.00 0.00

time (sec)

N/A 0.378 6.375 1.389 0.322 0.296 0.000 0.000 0.000

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 107 257 177 0 340 0 0 0

N.S.

1 1.00 2.40 1.65 0.00 3.18 0.00 0.00 0.00

time (sec)

N/A 0.207 3.786 2.028 0.000 0.275 0.000 0.000 0.000

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 23 182 25 0 25 27

N.S.

1 1.00 1.09 1.00 7.91 1.09 0.00 1.09 1.17

time (sec)

N/A 0.334 2.892 0.545 0.331 0.262 0.000 0.308 29.129

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 23 242 36 0 25 27

N.S.

1 1.00 1.09 1.00 10.52 1.57 0.00 1.09 1.17

time (sec)

N/A 0.397 3.384 0.556 0.431 0.254 0.000 0.335 30.660

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 23 308 47 0 25 27

N.S.

1 1.00 1.09 1.00 13.39 2.04 0.00 1.09 1.17

time (sec)

N/A 0.493 4.682 0.502 0.429 0.261 0.000 0.401 30.449

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

230 230 532 677 0 896 0 0 0

N.S.

1 1.00 2.31 2.94 0.00 3.90 0.00 0.00 0.00

time (sec)

N/A 0.396 1.706 8.568 0.000 0.303 0.000 0.000 0.000

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 364 334 0 513 0 0 0

N.S.

1 1.00 2.48 2.27 0.00 3.49 0.00 0.00 0.00

time (sec)

N/A 0.255 2.624 4.242 0.000 0.281 0.000 0.000 0.000

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 105 96 3330 93 0 365 150

N.S.

1 1.00 1.84 1.68 58.42 1.63 0.00 6.40 2.63

time (sec)

N/A 0.124 0.810 1.595 0.395 0.271 0.000 0.372 1.761

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 25 1275 27 0 27 27

N.S.

1 1.00 1.08 1.00 51.00 1.08 0.00 1.08 1.08

time (sec)

N/A 0.411 11.006 0.613 0.413 0.252 0.000 1.901 29.934

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 25 1419 38 0 27 27

N.S.

1 1.00 1.08 1.00 56.76 1.52 0.00 1.08 1.08

time (sec)

N/A 0.469 15.403 0.733 0.474 0.255 0.000 4.137 32.112

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 25 1563 49 0 27 27

N.S.

1 1.00 1.08 1.00 62.52 1.96 0.00 1.08 1.08

time (sec)

N/A 0.536 17.357 0.756 0.574 0.250 0.000 7.781 34.205

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 77 66 0 106 0 0 46

N.S.

1 1.00 1.35 1.16 0.00 1.86 0.00 0.00 0.81

time (sec)

N/A 0.087 0.035 1.681 0.000 0.256 0.000 0.000 26.551

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

14 14 14 15 111 26 144 118 31

N.S.

1 1.00 1.00 1.07 7.93 1.86 10.29 8.43 2.21

time (sec)

N/A 0.037 0.029 3.395 0.301 0.250 3.962 0.270 28.408

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

67 67 146 102 0 144 0 0 63

N.S.

1 1.00 2.18 1.52 0.00 2.15 0.00 0.00 0.94

time (sec)

N/A 0.160 0.235 9.372 0.000 0.254 0.000 0.000 27.652