Integrals 401 to 500

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 401

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B A F B F B

verified

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

size

18 18 18 20 65 27 0 39 41 61

N.S.

1 1.00 1.00 1.11 3.61 1.50 0.00 2.17 2.28 3.39

time (sec)

N/A 0.291 0.033 0.392 0.119 0.080 0.000 0.472 0.178 0.403

Problem 402

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 31 32 31 51 84 0 0 41 0

N.S.

1 1.00 1.03 1.00 1.65 2.71 0.00 0.00 1.32 0.00

time (sec)

N/A 0.305 0.028 0.506 0.027 0.090 0.000 0.000 0.172 0.000

Problem 403

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 68 58 83 81 79 0 0 43 0

N.S.

1 1.03 0.88 1.26 1.23 1.20 0.00 0.00 0.65 0.00

time (sec)

N/A 0.346 0.225 0.557 0.112 0.088 0.000 0.000 0.173 0.000

Problem 404

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 81 66 132 1518 80 0 188 43 0

N.S.

1 0.89 0.73 1.45 16.68 0.88 0.00 2.07 0.47 0.00

time (sec)

N/A 0.552 0.154 0.555 0.316 0.096 0.000 0.526 0.180 0.000

Problem 405

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 55 43 106 527 67 0 158 43 0

N.S.

1 0.89 0.69 1.71 8.50 1.08 0.00 2.55 0.69 0.00

time (sec)

N/A 0.450 0.052 0.520 0.168 0.092 0.000 0.518 0.174 0.000

Problem 406

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 32 90 36 0 0 43 37

N.S.

1 1.00 1.00 1.28 3.60 1.44 0.00 0.00 1.72 1.48

time (sec)

N/A 0.381 0.034 0.503 0.156 0.079 0.000 0.000 0.177 35.019

Problem 407

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

60 46 37 64 525 58 0 0 43 118

N.S.

1 0.77 0.62 1.07 8.75 0.97 0.00 0.00 0.72 1.97

time (sec)

N/A 0.407 0.074 0.510 0.166 0.082 0.000 0.000 0.171 40.242

Problem 408

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

96 56 49 74 1236 79 0 0 43 491

N.S.

1 0.58 0.51 0.77 12.88 0.82 0.00 0.00 0.45 5.11

time (sec)

N/A 0.414 0.088 0.536 0.166 0.111 0.000 0.000 0.166 43.877

Problem 409

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A F B

verified

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

size

68 74 51 51 69 50 0 93 52 583

N.S.

1 1.09 0.75 0.75 1.01 0.74 0.00 1.37 0.76 8.57

time (sec)

N/A 0.368 0.258 0.625 0.041 0.085 0.000 0.778 0.190 71.399

Problem 410

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F B F B

verified

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

size

44 53 34 41 48 40 0 80 52 389

N.S.

1 1.20 0.77 0.93 1.09 0.91 0.00 1.82 1.18 8.84

time (sec)

N/A 0.359 0.186 0.534 0.042 0.081 0.000 0.698 0.184 41.061

Problem 411

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A B A F B F B

verified

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

size

21 21 21 21 95 28 0 54 50 72

N.S.

1 1.00 1.00 1.00 4.52 1.33 0.00 2.57 2.38 3.43

time (sec)

N/A 0.299 0.033 0.402 0.121 0.075 0.000 0.653 0.181 38.860

Problem 412

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 55 37 75 73 58 0 0 50 0

N.S.

1 1.04 0.70 1.42 1.38 1.09 0.00 0.00 0.94 0.00

time (sec)

N/A 0.323 0.103 0.623 0.030 0.084 0.000 0.000 0.176 0.000

Problem 413

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 70 59 67 100 83 0 0 52 0

N.S.

1 1.06 0.89 1.02 1.52 1.26 0.00 0.00 0.79 0.00

time (sec)

N/A 0.359 0.141 0.595 0.037 0.089 0.000 0.000 0.174 0.000

Problem 414

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

106 84 59 104 1532 77 0 99 52 0

N.S.

1 0.79 0.56 0.98 14.45 0.73 0.00 0.93 0.49 0.00

time (sec)

N/A 0.572 0.108 0.589 0.315 0.097 0.000 0.644 0.188 0.000

Problem 415

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 44 44 123 220 66 0 0 52 0

N.S.

1 0.70 0.70 1.95 3.49 1.05 0.00 0.00 0.83 0.00

time (sec)

N/A 0.410 0.091 0.572 0.175 0.088 0.000 0.000 0.175 0.000

Problem 416

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 29 35 382 50 0 0 52 88

N.S.

1 1.00 0.76 0.92 10.05 1.32 0.00 0.00 1.37 2.32

time (sec)

N/A 0.397 0.047 0.563 0.163 0.078 0.000 0.000 0.179 39.113

Problem 417

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 53 41 47 1063 75 0 0 52 393

N.S.

1 0.69 0.53 0.61 13.81 0.97 0.00 0.00 0.68 5.10

time (sec)

N/A 0.424 0.109 0.530 0.168 0.084 0.000 0.000 0.176 40.671

Problem 418

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 65 51 57 2026 100 0 0 52 589

N.S.

1 0.57 0.44 0.50 17.62 0.87 0.00 0.00 0.45 5.12

time (sec)

N/A 0.442 0.149 0.563 0.197 0.084 0.000 0.000 0.183 71.756

Problem 419

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 177 143 721 230 369 0 0 24 0

N.S.

1 1.00 0.81 4.07 1.30 2.08 0.00 0.00 0.14 0.00

time (sec)

N/A 0.349 0.652 0.622 0.124 0.560 0.000 0.000 0.187 0.000

Problem 420

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

118 113 84 403 127 249 0 959 24 0

N.S.

1 0.96 0.71 3.42 1.08 2.11 0.00 8.13 0.20 0.00

time (sec)

N/A 0.295 0.465 0.526 0.114 0.325 0.000 0.642 0.173 0.000

Problem 421

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 60 60 129 122 160 0 313 22 0

N.S.

1 1.03 1.03 2.22 2.10 2.76 0.00 5.40 0.38 0.00

time (sec)

N/A 0.242 0.074 0.470 0.144 0.211 0.000 0.452 0.174 0.000

Problem 422

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 56 51 58 43 154 0 0 22 0

N.S.

1 1.04 0.94 1.07 0.80 2.85 0.00 0.00 0.41 0.00

time (sec)

N/A 0.260 0.055 0.467 0.038 0.465 0.000 0.000 0.174 0.000

Problem 423

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

110 100 77 122 113 256 0 0 24 0

N.S.

1 0.91 0.70 1.11 1.03 2.33 0.00 0.00 0.22 0.00

time (sec)

N/A 0.287 0.227 0.454 0.034 0.730 0.000 0.000 0.177 0.000

Problem 424

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 152 103 212 215 432 0 0 24 0

N.S.

1 0.92 0.62 1.28 1.30 2.62 0.00 0.00 0.15 0.00

time (sec)

N/A 0.321 0.629 0.520 0.036 1.023 0.000 0.000 0.179 0.000

Problem 425

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

236 243 198 380 0 0 0 0 24 0

N.S.

1 1.03 0.84 1.61 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.477 2.663 5.510 0.000 0.000 0.000 0.000 0.174 0.000

Problem 426

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

171 164 140 222 0 0 0 0 24 0

N.S.

1 0.96 0.82 1.30 0.00 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 0.363 0.857 4.120 0.000 0.000 0.000 0.000 0.168 0.000

Problem 427

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

52 51 61 71 0 0 0 0 15 0

N.S.

1 0.98 1.17 1.37 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.281 0.073 1.515 0.000 0.000 0.000 0.000 0.171 0.000

Problem 428

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

174 167 143 156 0 0 0 0 24 0

N.S.

1 0.96 0.82 0.90 0.00 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 0.376 1.053 3.202 0.000 0.000 0.000 0.000 0.170 0.000

Problem 429

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

232 238 197 351 0 0 0 0 24 0

N.S.

1 1.03 0.85 1.51 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.476 3.844 3.802 0.000 0.000 0.000 0.000 0.192 0.000

Problem 430

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

220 202 160 711 238 398 0 3585 61 0

N.S.

1 0.92 0.73 3.23 1.08 1.81 0.00 16.30 0.28 0.00

time (sec)

N/A 0.363 2.207 0.571 0.120 0.453 0.000 2.129 0.268 0.000

Problem 431

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

148 138 116 426 169 278 0 2073 61 0

N.S.

1 0.93 0.78 2.88 1.14 1.88 0.00 14.01 0.41 0.00

time (sec)

N/A 0.308 0.622 0.517 0.117 0.303 0.000 1.306 0.232 0.000

Problem 432

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 85 79 211 157 199 0 1270 57 0

N.S.

1 1.01 0.94 2.51 1.87 2.37 0.00 15.12 0.68 0.00

time (sec)

N/A 0.253 0.177 0.509 0.134 0.250 0.000 0.683 0.192 0.000

Problem 433

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

78 79 69 86 61 190 0 0 57 0

N.S.

1 1.01 0.88 1.10 0.78 2.44 0.00 0.00 0.73 0.00

time (sec)

N/A 0.261 0.126 0.450 0.030 0.472 0.000 0.000 0.212 0.000

Problem 434

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

140 123 90 165 148 297 0 0 61 0

N.S.

1 0.88 0.64 1.18 1.06 2.12 0.00 0.00 0.44 0.00

time (sec)

N/A 0.299 0.519 0.477 0.038 0.764 0.000 0.000 0.243 0.000

Problem 435

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

208 177 123 257 272 457 0 0 61 0

N.S.

1 0.85 0.59 1.24 1.31 2.20 0.00 0.00 0.29 0.00

time (sec)

N/A 0.343 0.888 0.494 0.040 1.047 0.000 0.000 0.289 0.000

Problem 436

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

275 283 211 419 0 0 0 0 61 0

N.S.

1 1.03 0.77 1.52 0.00 0.00 0.00 0.00 0.22 0.00

time (sec)

N/A 0.542 3.529 6.672 0.000 0.000 0.000 0.000 0.240 0.000

Problem 437

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

222 223 174 389 0 0 0 0 61 0

N.S.

1 1.00 0.78 1.75 0.00 0.00 0.00 0.00 0.27 0.00

time (sec)

N/A 0.422 3.371 5.928 0.000 0.000 0.000 0.000 0.219 0.000

Problem 438

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

156 155 156 266 0 0 0 0 44 0

N.S.

1 0.99 1.00 1.71 0.00 0.00 0.00 0.00 0.28 0.00

time (sec)

N/A 0.807 0.796 2.613 0.000 0.000 0.000 0.000 0.167 0.000

Problem 439

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

223 224 173 204 0 0 0 0 61 0

N.S.

1 1.00 0.78 0.91 0.00 0.00 0.00 0.00 0.27 0.00

time (sec)

N/A 0.437 2.782 4.890 0.000 0.000 0.000 0.000 0.229 0.000

Problem 440

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

276 282 218 419 0 0 0 0 61 0

N.S.

1 1.02 0.79 1.52 0.00 0.00 0.00 0.00 0.22 0.00

time (sec)

N/A 0.549 5.612 4.700 0.000 0.000 0.000 0.000 0.273 0.000

Problem 441

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

134 149 108 644 248 343 0 2448 38 0

N.S.

1 1.11 0.81 4.81 1.85 2.56 0.00 18.27 0.28 0.00

time (sec)

N/A 0.329 0.551 0.554 0.123 0.293 0.000 0.560 0.179 0.000

Problem 442

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 83 77 353 124 235 0 753 38 0

N.S.

1 1.02 0.95 4.36 1.53 2.90 0.00 9.30 0.47 0.00

time (sec)

N/A 0.282 0.262 0.538 0.122 0.162 0.000 0.451 0.182 0.000

Problem 443

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 38 103 106 125 0 94 36 0

N.S.

1 1.00 1.06 2.86 2.94 3.47 0.00 2.61 1.00 0.00

time (sec)

N/A 0.240 0.063 0.460 0.135 0.130 0.000 0.305 0.168 0.000

Problem 444

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 33 33 42 25 117 0 0 36 0

N.S.

1 1.00 1.00 1.27 0.76 3.55 0.00 0.00 1.09 0.00

time (sec)

N/A 0.247 0.041 0.485 0.030 0.132 0.000 0.000 0.178 0.000

Problem 445

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 71 71 109 77 235 0 0 38 0

N.S.

1 0.95 0.95 1.45 1.03 3.13 0.00 0.00 0.51 0.00

time (sec)

N/A 0.274 0.182 0.515 0.035 0.159 0.000 0.000 0.170 0.000

Problem 446

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

126 127 101 205 158 403 0 0 38 0

N.S.

1 1.01 0.80 1.63 1.25 3.20 0.00 0.00 0.30 0.00

time (sec)

N/A 0.320 0.405 0.539 0.038 0.161 0.000 0.000 0.171 0.000

Problem 447

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

246 249 188 377 0 845 0 0 38 0

N.S.

1 1.01 0.76 1.53 0.00 3.43 0.00 0.00 0.15 0.00

time (sec)

N/A 0.487 2.751 4.244 0.000 0.146 0.000 0.000 0.180 0.000

Problem 448

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

109 123 100 222 0 730 0 0 38 0

N.S.

1 1.13 0.92 2.04 0.00 6.70 0.00 0.00 0.35 0.00

time (sec)

N/A 0.318 0.782 2.418 0.000 0.122 0.000 0.000 0.170 0.000

Problem 449

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

52 51 60 52 0 305 0 0 30 0

N.S.

1 0.98 1.15 1.00 0.00 5.87 0.00 0.00 0.58 0.00

time (sec)

N/A 0.291 0.060 0.372 0.000 0.104 0.000 0.000 0.174 0.000

Problem 450

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

106 120 101 120 0 723 0 0 38 0

N.S.

1 1.13 0.95 1.13 0.00 6.82 0.00 0.00 0.36 0.00

time (sec)

N/A 0.327 0.807 1.819 0.000 0.120 0.000 0.000 0.164 0.000

Problem 451

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

240 243 186 351 0 1045 0 0 38 0

N.S.

1 1.01 0.78 1.46 0.00 4.35 0.00 0.00 0.16 0.00

time (sec)

N/A 0.490 4.754 2.322 0.000 0.130 0.000 0.000 0.172 0.000

Problem 452

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

177 182 107 3767 334 606 0 2644 54 0

N.S.

1 1.03 0.60 21.28 1.89 3.42 0.00 14.94 0.31 0.00

time (sec)

N/A 0.377 0.547 0.823 0.123 0.266 0.000 1.108 0.187 0.000

Problem 453

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

118 118 75 2541 193 458 0 967 54 0

N.S.

1 1.00 0.64 21.53 1.64 3.88 0.00 8.19 0.46 0.00

time (sec)

N/A 0.311 0.126 0.655 0.119 0.193 0.000 0.627 0.182 0.000

Problem 454

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 65 54 1317 143 293 0 242 52 0

N.S.

1 1.03 0.86 20.90 2.27 4.65 0.00 3.84 0.83 0.00

time (sec)

N/A 0.265 0.093 0.640 0.134 0.133 0.000 0.450 0.178 0.000

Problem 455

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 59 46 62 46 241 0 0 52 0

N.S.

1 1.04 0.81 1.09 0.81 4.23 0.00 0.00 0.91 0.00

time (sec)

N/A 0.278 0.065 0.502 0.033 0.154 0.000 0.000 0.174 0.000

Problem 456

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

110 103 70 148 117 421 0 0 54 0

N.S.

1 0.94 0.64 1.35 1.06 3.83 0.00 0.00 0.49 0.00

time (sec)

N/A 0.305 0.116 0.471 0.036 0.168 0.000 0.000 0.165 0.000

Problem 457

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 158 94 265 219 667 0 0 54 0

N.S.

1 0.95 0.56 1.59 1.31 3.99 0.00 0.00 0.32 0.00

time (sec)

N/A 0.352 0.357 0.537 0.042 0.177 0.000 0.000 0.178 0.000

Problem 458

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

292 311 197 368 0 1228 0 0 54 0

N.S.

1 1.07 0.67 1.26 0.00 4.21 0.00 0.00 0.18 0.00

time (sec)

N/A 0.522 3.022 5.812 0.000 0.185 0.000 0.000 0.184 0.000

Problem 459

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

224 233 145 278 0 1048 0 0 54 0

N.S.

1 1.04 0.65 1.24 0.00 4.68 0.00 0.00 0.24 0.00

time (sec)

N/A 0.450 1.335 3.931 0.000 0.143 0.000 0.000 0.182 0.000

Problem 460

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

102 101 90 103 0 938 0 0 46 0

N.S.

1 0.99 0.88 1.01 0.00 9.20 0.00 0.00 0.45 0.00

time (sec)

N/A 0.426 0.149 0.888 0.000 0.127 0.000 0.000 0.161 0.000

Problem 461

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

209 222 142 141 0 996 0 0 54 0

N.S.

1 1.06 0.68 0.67 0.00 4.77 0.00 0.00 0.26 0.00

time (sec)

N/A 0.453 1.240 3.271 0.000 0.157 0.000 0.000 0.164 0.000

Problem 462

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

297 312 199 353 0 1465 0 0 54 0

N.S.

1 1.05 0.67 1.19 0.00 4.93 0.00 0.00 0.18 0.00

time (sec)

N/A 0.602 4.624 3.931 0.000 0.160 0.000 0.000 0.182 0.000

Problem 463

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

218 212 107 1909 424 1008 0 3688 70 0

N.S.

1 0.97 0.49 8.76 1.94 4.62 0.00 16.92 0.32 0.00

time (sec)

N/A 0.394 0.527 0.638 0.123 0.320 0.000 1.465 0.190 0.000

Problem 464

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

153 150 76 834 262 782 0 1746 70 0

N.S.

1 0.98 0.50 5.45 1.71 5.11 0.00 11.41 0.46 0.00

time (sec)

N/A 0.326 0.135 0.623 0.119 0.230 0.000 0.926 0.186 0.000

Problem 465

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 97 56 963 203 534 0 832 68 0

N.S.

1 1.07 0.62 10.58 2.23 5.87 0.00 9.14 0.75 0.00

time (sec)

N/A 0.282 0.089 0.574 0.150 0.166 0.000 0.645 0.183 0.000

Problem 466

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 87 49 260 66 397 0 0 68 0

N.S.

1 1.05 0.59 3.13 0.80 4.78 0.00 0.00 0.82 0.00

time (sec)

N/A 0.280 0.068 0.566 0.037 0.166 0.000 0.000 0.176 0.000

Problem 467

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 131 69 1038 156 681 0 0 70 0

N.S.

1 0.92 0.48 7.26 1.09 4.76 0.00 0.00 0.49 0.00

time (sec)

N/A 0.316 0.283 0.600 0.036 0.174 0.000 0.000 0.179 0.000

Problem 468

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

208 186 117 988 280 999 0 0 70 0

N.S.

1 0.89 0.56 4.75 1.35 4.80 0.00 0.00 0.34 0.00

time (sec)

N/A 0.356 0.901 0.580 0.039 0.210 0.000 0.000 0.174 0.000

Problem 469

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

348 380 235 667 0 1730 0 0 70 0

N.S.

1 1.09 0.68 1.92 0.00 4.97 0.00 0.00 0.20 0.00

time (sec)

N/A 0.628 4.427 7.406 0.000 0.291 0.000 0.000 0.190 0.000

Problem 470

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

292 310 199 851 0 1632 0 0 70 0

N.S.

1 1.06 0.68 2.91 0.00 5.59 0.00 0.00 0.24 0.00

time (sec)

N/A 0.520 3.464 6.351 0.000 0.206 0.000 0.000 0.191 0.000

Problem 471

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

225 228 172 547 0 1531 0 0 62 0

N.S.

1 1.01 0.76 2.43 0.00 6.80 0.00 0.00 0.28 0.00

time (sec)

N/A 1.190 1.436 1.281 0.000 0.179 0.000 0.000 0.167 0.000

Problem 472

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

282 308 209 411 0 1595 0 0 70 0

N.S.

1 1.09 0.74 1.46 0.00 5.66 0.00 0.00 0.25 0.00

time (sec)

N/A 0.583 3.500 5.559 0.000 0.199 0.000 0.000 0.183 0.000

Problem 473

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

344 375 226 633 0 1971 0 0 70 0

N.S.

1 1.09 0.66 1.84 0.00 5.73 0.00 0.00 0.20 0.00

time (sec)

N/A 0.698 3.994 5.352 0.000 0.219 0.000 0.000 0.170 0.000

Problem 474

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 147 121 0 0 0 0 0 29 0

N.S.

1 1.22 1.01 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.392 1.324 0.000 0.000 0.000 0.000 0.000 0.192 0.000

Problem 475

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

102 104 83 0 0 0 0 0 25 0

N.S.

1 1.02 0.81 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.282 0.288 0.000 0.000 0.000 0.000 0.000 0.205 0.000

Problem 476

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 59 61 0 0 0 0 0 23 0

N.S.

1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 0.39 0.00

time (sec)

N/A 0.230 0.093 0.000 0.000 0.000 0.000 0.000 0.172 0.000

Problem 477

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 54 0 0 0 0 0 23 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.43 0.00

time (sec)

N/A 0.241 0.074 0.000 0.000 0.000 0.000 0.000 0.192 0.000

Problem 478

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 91 73 0 0 0 0 0 25 0

N.S.

1 0.96 0.77 0.00 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 0.260 0.569 0.000 0.000 0.000 0.000 0.000 0.189 0.000

Problem 479

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 101 102 0 0 0 0 0 25 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.294 7.992 0.000 0.000 0.000 0.000 0.000 0.231 0.000

Problem 480

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 101 102 0 0 0 0 0 25 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.290 0.766 0.000 0.000 0.000 0.000 0.000 0.195 0.000

Problem 481

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 97 98 0 0 0 0 0 25 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 0.289 0.625 0.000 0.000 0.000 0.000 0.000 0.185 0.000

Problem 482

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 101 102 0 0 0 0 0 25 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.290 3.743 0.000 0.000 0.000 0.000 0.000 0.194 0.000

Problem 483

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A C F A F B

verified

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

size

153 153 143 110 152 874 0 144 508 2003

N.S.

1 1.00 0.93 0.72 0.99 5.71 0.00 0.94 3.32 13.09

time (sec)

N/A 0.443 0.359 3.234 0.111 0.818 0.000 0.121 0.194 38.060

Problem 484

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 45 45 0 52 0 0 38 14 0

N.S.

1 1.00 1.00 0.00 1.16 0.00 0.00 0.84 0.31 0.00

time (sec)

N/A 0.255 0.032 0.000 0.111 0.000 0.000 0.113 0.191 0.000

Problem 485

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 28 28 0 39 0 0 24 24 0

N.S.

1 1.00 1.00 0.00 1.39 0.00 0.00 0.86 0.86 0.00

time (sec)

N/A 0.248 0.019 0.000 0.110 0.000 0.000 0.110 0.168 0.000

Problem 486

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 56 54 60 68 192 0 0 22 0

N.S.

1 0.95 0.92 1.02 1.15 3.25 0.00 0.00 0.37 0.00

time (sec)

N/A 0.268 0.067 0.533 0.104 0.168 0.000 0.000 0.185 0.000

Problem 487

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

89 93 89 0 0 361 0 0 38 0

N.S.

1 1.04 1.00 0.00 0.00 4.06 0.00 0.00 0.43 0.00

time (sec)

N/A 0.304 0.216 0.000 0.000 0.182 0.000 0.000 0.178 0.000

Problem 488

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 54 65 72 0 240 0 0 36 0

N.S.

1 1.06 1.27 1.41 0.00 4.71 0.00 0.00 0.71 0.00

time (sec)

N/A 0.242 0.110 1.711 0.000 0.165 0.000 0.000 0.171 0.000

Problem 489

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 35 35 42 50 137 0 0 36 0

N.S.

1 1.00 1.00 1.20 1.43 3.91 0.00 0.00 1.03 0.00

time (sec)

N/A 0.261 0.031 0.565 0.109 0.137 0.000 0.000 0.178 0.000

Problem 490

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 66 66 0 79 244 0 0 38 0

N.S.

1 0.94 0.94 0.00 1.13 3.49 0.00 0.00 0.54 0.00

time (sec)

N/A 0.292 0.103 0.000 0.113 0.151 0.000 0.000 0.170 0.000

Problem 491

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

108 109 141 0 166 368 0 0 38 0

N.S.

1 1.01 1.31 0.00 1.54 3.41 0.00 0.00 0.35 0.00

time (sec)

N/A 0.331 3.291 0.000 0.112 0.164 0.000 0.000 0.175 0.000

Problem 492

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

409 454 291 0 0 0 0 0 38 0

N.S.

1 1.11 0.71 0.00 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 0.578 5.434 0.000 0.000 0.000 0.000 0.000 0.179 0.000

Problem 493

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 162 195 396 0 0 0 0 30 0

N.S.

1 1.00 1.20 2.44 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.295 0.500 2.341 0.000 0.000 0.000 0.000 0.169 0.000

Problem 494

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

470 502 378 0 0 0 0 0 38 0

N.S.

1 1.07 0.80 0.00 0.00 0.00 0.00 0.00 0.08 0.00

time (sec)

N/A 0.582 10.285 0.000 0.000 0.000 0.000 0.000 0.182 0.000

Problem 495

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 25 23 25 37 0 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.61 0.00 1.09 1.09 1.09

time (sec)

N/A 0.214 6.128 1.858 1.829 1.313 0.000 2.752 0.193 41.803

Problem 496

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No N/A TBD TBD TBD TBD TBD TBD

size

279 265 810 0 0 0 0 0 25 0

N.S.

1 0.95 2.90 0.00 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 0.453 14.815 0.000 0.000 0.000 0.000 0.000 0.186 0.000

Problem 497

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No N/A TBD TBD TBD TBD TBD TBD

size

141 139 466 0 0 0 0 0 23 0

N.S.

1 0.99 3.30 0.00 0.00 0.00 0.00 0.00 0.16 0.00

time (sec)

N/A 0.305 7.881 0.000 0.000 0.000 0.000 0.000 0.181 0.000

Problem 498

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 54 0 0 0 0 0 23 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.43 0.00

time (sec)

N/A 0.246 0.125 0.000 0.000 0.000 0.000 0.000 0.178 0.000

Problem 499

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

127 126 119 0 0 0 0 0 25 0

N.S.

1 0.99 0.94 0.00 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.301 0.621 0.000 0.000 0.000 0.000 0.000 0.204 0.000

Problem 500

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 25 23 25 37 0 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.61 0.00 1.09 1.09 1.09

time (sec)

N/A 0.218 22.693 1.578 13.356 0.147 0.000 1.144 0.200 39.242