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2.2.4 Integrals 301 to 400

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

96 106 303 177 347 1472 0 218 327

N.S.

1 1.10 3.16 1.84 3.61 15.33 0.00 2.27 3.41

time (sec)

N/A 0.285 6.164 57.092 0.308 0.279 0.000 0.307 1.717

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 52 69 129 698 403 0 128 464

N.S.

1 0.91 1.21 2.26 12.25 7.07 0.00 2.25 8.14

time (sec)

N/A 0.268 1.021 109.805 0.203 0.268 0.000 0.287 1.609

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

131 134 715 208 483 2824 0 291 582

N.S.

1 1.02 5.46 1.59 3.69 21.56 0.00 2.22 4.44

time (sec)

N/A 0.306 7.355 204.409 0.280 0.275 0.000 0.306 1.664

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

238 237 144 267 363 376 774 293 209

N.S.

1 1.00 0.61 1.12 1.53 1.58 3.25 1.23 0.88

time (sec)

N/A 0.419 2.626 0.073 0.200 0.256 1.364 0.305 0.609

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 87 83 92 349 324 182 286 112

N.S.

1 0.89 0.85 0.94 3.56 3.31 1.86 2.92 1.14

time (sec)

N/A 0.288 0.185 0.054 0.201 0.271 0.967 0.304 0.320

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

203 211 120 216 287 257 559 231 166

N.S.

1 1.04 0.59 1.06 1.41 1.27 2.75 1.14 0.82

time (sec)

N/A 0.409 2.354 0.053 0.226 0.278 0.702 0.301 0.481

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

67 59 59 56 63 209 75 222 58

N.S.

1 0.88 0.88 0.84 0.94 3.12 1.12 3.31 0.87

time (sec)

N/A 0.247 0.114 0.040 0.216 0.262 0.472 0.293 0.164

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 78 100 114 233 1114 0 204 294

N.S.

1 0.91 1.16 1.33 2.71 12.95 0.00 2.37 3.42

time (sec)

N/A 0.285 0.211 0.085 0.313 0.286 0.000 0.317 1.809

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 107 78 131 215 178 0 197 141

N.S.

1 1.16 0.85 1.42 2.34 1.93 0.00 2.14 1.53

time (sec)

N/A 0.328 1.683 0.156 0.228 0.272 0.000 0.318 1.768

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

91 89 347 219 357 1679 0 247 308

N.S.

1 0.98 3.81 2.41 3.92 18.45 0.00 2.71 3.38

time (sec)

N/A 0.297 6.897 0.141 0.317 0.268 0.000 0.312 3.262

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 91 84 148 382 321 0 208 273

N.S.

1 1.11 1.02 1.80 4.66 3.91 0.00 2.54 3.33

time (sec)

N/A 0.315 1.983 0.126 0.240 0.261 0.000 0.318 0.176

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

103 105 472 273 489 2245 0 301 430

N.S.

1 1.02 4.58 2.65 4.75 21.80 0.00 2.92 4.17

time (sec)

N/A 0.326 9.512 0.145 0.317 0.287 0.000 0.334 0.216

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 75 103 199 824 530 0 213 563

N.S.

1 1.01 1.39 2.69 11.14 7.16 0.00 2.88 7.61

time (sec)

N/A 0.284 1.388 222.626 0.241 0.293 0.000 0.323 0.120

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

154 170 1192 314 646 3675 0 383 601

N.S.

1 1.10 7.74 2.04 4.19 23.86 0.00 2.49 3.90

time (sec)

N/A 0.347 10.910 0.129 0.325 0.295 0.000 0.341 0.203

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 72 163 289 1754 814 0 260 994

N.S.

1 0.90 2.04 3.61 21.92 10.18 0.00 3.25 12.42

time (sec)

N/A 0.287 2.540 0.118 0.239 0.244 0.000 0.340 1.800

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 100 117 123 0 3066 0 0 954

N.S.

1 0.93 1.08 1.14 0.00 28.39 0.00 0.00 8.83

time (sec)

N/A 0.317 0.374 0.053 0.000 0.297 0.000 0.000 2.291

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 149 106 431 0 1817 0 0 264

N.S.

1 1.23 0.88 3.56 0.00 15.02 0.00 0.00 2.18

time (sec)

N/A 0.396 0.434 101.976 0.000 0.286 0.000 0.000 2.145

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 72 79 74 0 1490 0 0 668

N.S.

1 0.94 1.03 0.96 0.00 19.35 0.00 0.00 8.68

time (sec)

N/A 0.286 0.234 39.284 0.000 0.299 0.000 0.000 2.054

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

81 99 80 253 0 875 0 0 300

N.S.

1 1.22 0.99 3.12 0.00 10.80 0.00 0.00 3.70

time (sec)

N/A 0.315 0.268 14.602 0.000 0.296 0.000 0.000 2.473

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 50 50 44 0 659 0 0 426

N.S.

1 0.96 0.96 0.85 0.00 12.67 0.00 0.00 8.19

time (sec)

N/A 0.243 0.040 5.179 0.000 0.293 0.000 0.000 1.931

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 57 50 112 0 443 0 0 166

N.S.

1 1.14 1.00 2.24 0.00 8.86 0.00 0.00 3.32

time (sec)

N/A 0.261 0.218 1.584 0.000 0.289 0.000 0.000 0.492

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 32 24 0 459 107 0 23

N.S.

1 1.00 1.00 0.75 0.00 14.34 3.34 0.00 0.72

time (sec)

N/A 0.216 0.011 1.515 0.000 0.291 1.040 0.000 1.821

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 57 54 148 0 511 0 0 648

N.S.

1 0.97 0.92 2.51 0.00 8.66 0.00 0.00 10.98

time (sec)

N/A 0.250 0.134 11.519 0.000 0.291 0.000 0.000 2.299

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 58 60 195 0 709 0 0 265

N.S.

1 0.97 1.00 3.25 0.00 11.82 0.00 0.00 4.42

time (sec)

N/A 0.261 0.317 35.267 0.000 0.315 0.000 0.000 2.358

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 103 91 241 0 1644 0 0 2797

N.S.

1 1.12 0.99 2.62 0.00 17.87 0.00 0.00 30.40

time (sec)

N/A 0.297 0.214 80.565 0.000 0.348 0.000 0.000 7.463

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 83 84 242 0 2444 0 0 710

N.S.

1 0.94 0.95 2.75 0.00 27.77 0.00 0.00 8.07

time (sec)

N/A 0.313 0.536 170.880 0.000 0.296 0.000 0.000 3.540

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 161 139 352 0 5500 0 0 6237

N.S.

1 1.17 1.01 2.55 0.00 39.86 0.00 0.00 45.20

time (sec)

N/A 0.362 0.393 0.137 0.000 0.352 0.000 0.000 13.815

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 118 119 346 0 6046 0 0 1152

N.S.

1 0.94 0.94 2.75 0.00 47.98 0.00 0.00 9.14

time (sec)

N/A 0.349 0.818 0.160 0.000 0.320 0.000 0.000 3.762

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 177 118 425 0 3629 0 0 0

N.S.

1 1.12 0.75 2.69 0.00 22.97 0.00 0.00 0.00

time (sec)

N/A 0.422 0.732 0.172 0.000 0.320 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 99 106 97 0 2739 0 0 0

N.S.

1 0.95 1.02 0.93 0.00 26.34 0.00 0.00 0.00

time (sec)

N/A 0.322 0.244 101.868 0.000 0.298 0.000 0.000 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

100 115 108 315 0 1527 0 0 0

N.S.

1 1.15 1.08 3.15 0.00 15.27 0.00 0.00 0.00

time (sec)

N/A 0.330 0.712 39.809 0.000 0.299 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 75 75 69 0 1615 0 0 0

N.S.

1 0.97 0.97 0.90 0.00 20.97 0.00 0.00 0.00

time (sec)

N/A 0.257 0.265 40.731 0.000 0.282 0.000 0.000 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 77 78 236 0 1421 0 0 0

N.S.

1 0.97 0.99 2.99 0.00 17.99 0.00 0.00 0.00

time (sec)

N/A 0.257 0.377 38.106 0.000 0.284 0.000 0.000 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 64 64 55 0 1320 377 0 54

N.S.

1 0.97 0.97 0.83 0.00 20.00 5.71 0.00 0.82

time (sec)

N/A 0.236 0.050 37.015 0.000 0.272 6.194 0.000 1.756

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 116 174 305 0 2143 0 0 0

N.S.

1 1.09 1.64 2.88 0.00 20.22 0.00 0.00 0.00

time (sec)

N/A 0.297 0.310 242.131 0.000 0.309 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 109 105 307 0 3147 0 0 0

N.S.

1 0.96 0.92 2.69 0.00 27.61 0.00 0.00 0.00

time (sec)

N/A 0.364 0.890 0.148 0.000 0.291 0.000 0.000 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 171 230 368 0 6548 0 0 0

N.S.

1 1.09 1.46 2.34 0.00 41.71 0.00 0.00 0.00

time (sec)

N/A 0.375 0.686 0.178 0.000 0.384 0.000 0.000 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

143 135 130 356 0 7894 0 0 0

N.S.

1 0.94 0.91 2.49 0.00 55.20 0.00 0.00 0.00

time (sec)

N/A 0.379 1.640 0.137 0.000 0.389 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

160 181 164 429 0 5511 0 0 0

N.S.

1 1.13 1.02 2.68 0.00 34.44 0.00 0.00 0.00

time (sec)

N/A 0.419 1.303 0.147 0.000 0.324 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 143 149 124 0 5844 0 0 0

N.S.

1 1.08 1.12 0.93 0.00 43.94 0.00 0.00 0.00

time (sec)

N/A 0.316 0.322 0.058 0.000 0.341 0.000 0.000 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 117 102 300 0 4486 0 0 0

N.S.

1 1.03 0.89 2.63 0.00 39.35 0.00 0.00 0.00

time (sec)

N/A 0.286 0.826 0.141 0.000 0.311 0.000 0.000 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 115 114 91 0 4907 0 0 0

N.S.

1 0.98 0.97 0.78 0.00 41.94 0.00 0.00 0.00

time (sec)

N/A 0.278 0.412 0.069 0.000 0.315 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

143 139 124 376 0 5183 0 0 0

N.S.

1 0.97 0.87 2.63 0.00 36.24 0.00 0.00 0.00

time (sec)

N/A 0.305 1.033 0.109 0.000 0.324 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 99 79 85 0 3934 835 0 87

N.S.

1 1.03 0.82 0.89 0.00 40.98 8.70 0.00 0.91

time (sec)

N/A 0.251 0.216 0.037 0.000 0.305 24.952 0.000 1.857

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 183 321 414 0 8083 0 0 0

N.S.

1 1.15 2.02 2.60 0.00 50.84 0.00 0.00 0.00

time (sec)

N/A 0.370 0.588 0.126 0.000 0.395 0.000 0.000 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

172 164 165 394 0 9442 0 0 0

N.S.

1 0.95 0.96 2.29 0.00 54.90 0.00 0.00 0.00

time (sec)

N/A 0.428 1.325 0.115 0.000 0.388 0.000 0.000 0.000

Problem 347

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

217 252 232 477 0 18765 0 0 0

N.S.

1 1.16 1.07 2.20 0.00 86.47 0.00 0.00 0.00

time (sec)

N/A 0.464 1.118 0.167 0.000 0.521 0.000 0.000 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

203 192 169 445 0 19032 0 0 0

N.S.

1 0.95 0.83 2.19 0.00 93.75 0.00 0.00 0.00

time (sec)

N/A 0.501 1.857 0.164 0.000 0.475 0.000 0.000 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 21 24 39 64 70 238 41 56

N.S.

1 1.11 1.26 2.05 3.37 3.68 12.53 2.16 2.95

time (sec)

N/A 0.220 0.047 0.449 0.257 0.279 3.043 0.282 0.147

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

10 10 14 18 39 71 129 37 39

N.S.

1 1.00 1.40 1.80 3.90 7.10 12.90 3.70 3.90

time (sec)

N/A 0.205 0.010 1.846 0.176 0.269 0.657 0.267 0.063

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 43 32 50 75 163 2431 61 66

N.S.

1 1.43 1.07 1.67 2.50 5.43 81.03 2.03 2.20

time (sec)

N/A 0.235 0.039 5.199 0.264 0.274 7.395 0.260 0.081

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 112 124 146 0 3281 0 871 0

N.S.

1 0.96 1.06 1.25 0.00 28.04 0.00 7.44 0.00

time (sec)

N/A 0.295 0.484 0.143 0.000 0.348 0.000 0.569 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 70 96 60 0 2419 0 407 61

N.S.

1 0.97 1.33 0.83 0.00 33.60 0.00 5.65 0.85

time (sec)

N/A 0.240 0.179 0.071 0.000 0.326 0.000 0.425 1.772

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 83 130 51 0 5139 0 0 0

N.S.

1 0.98 1.53 0.60 0.00 60.46 0.00 0.00 0.00

time (sec)

N/A 0.288 0.505 0.115 0.000 0.378 0.000 0.000 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 90 175 35 0 1327 0 0 0

N.S.

1 1.05 2.03 0.41 0.00 15.43 0.00 0.00 0.00

time (sec)

N/A 0.285 1.081 0.162 0.000 0.313 0.000 0.000 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

151 154 684 35 0 3727 0 0 0

N.S.

1 1.02 4.53 0.23 0.00 24.68 0.00 0.00 0.00

time (sec)

N/A 0.329 6.458 0.439 0.000 0.426 0.000 0.000 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

301 348 211 521 0 0 0 0 0

N.S.

1 1.16 0.70 1.73 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.494 1.299 2.976 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 A F F F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 276 168 351 0 0 0 0 0

N.S.

1 1.24 0.75 1.57 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.422 0.784 1.681 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 A F F F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 69 140 0 0 0 0 0

N.S.

1 1.00 1.15 2.33 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.290 0.048 0.990 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 C A F B F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 100 148 177 0 535 0 0 0

N.S.

1 1.43 2.11 2.53 0.00 7.64 0.00 0.00 0.00

time (sec)

N/A 0.278 0.588 1.125 0.000 0.095 0.000 0.000 0.000

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 249 204 318 0 2257 0 0 0

N.S.

1 1.21 0.99 1.54 0.00 10.96 0.00 0.00 0.00

time (sec)

N/A 0.381 2.276 2.796 0.000 0.131 0.000 0.000 0.000

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 144 149 215 0 4603 0 1546 0

N.S.

1 0.92 0.95 1.37 0.00 29.32 0.00 9.85 0.00

time (sec)

N/A 0.307 0.945 0.093 0.000 0.396 0.000 1.002 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 102 93 90 0 3161 0 791 60

N.S.

1 0.98 0.89 0.87 0.00 30.39 0.00 7.61 0.58

time (sec)

N/A 0.259 0.337 0.079 0.000 0.337 0.000 0.697 1.931

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 123 142 63 0 6337 0 0 0

N.S.

1 0.98 1.14 0.50 0.00 50.70 0.00 0.00 0.00

time (sec)

N/A 0.337 0.356 0.137 0.000 0.468 0.000 0.000 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 145 150 63 0 7350 0 0 0

N.S.

1 1.09 1.13 0.47 0.00 55.26 0.00 0.00 0.00

time (sec)

N/A 0.357 0.561 0.182 0.000 0.493 0.000 0.000 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 134 66 63 0 3089 0 2017 0

N.S.

1 1.06 0.52 0.50 0.00 24.52 0.00 16.01 0.00

time (sec)

N/A 0.303 0.095 0.229 0.000 0.417 0.000 0.858 0.000

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

205 198 959 63 0 7633 0 4555 0

N.S.

1 0.97 4.68 0.31 0.00 37.23 0.00 22.22 0.00

time (sec)

N/A 0.357 6.683 0.941 0.000 0.824 0.000 1.794 0.000

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

357 415 256 730 0 0 0 0 0

N.S.

1 1.16 0.72 2.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.578 2.218 3.986 0.000 0.000 0.000 0.000 0.000

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

299 347 213 535 0 0 0 0 0

N.S.

1 1.16 0.71 1.79 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.497 1.210 3.008 0.000 0.000 0.000 0.000 0.000

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 175 169 428 0 0 0 0 0

N.S.

1 1.01 0.97 2.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.886 0.569 1.805 0.000 0.000 0.000 0.000 0.000

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

210 278 160 334 0 0 0 0 0

N.S.

1 1.32 0.76 1.59 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.429 1.025 1.893 0.000 0.000 0.000 0.000 0.000

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 237 197 324 0 2071 0 0 0

N.S.

1 1.23 1.02 1.68 0.00 10.73 0.00 0.00 0.00

time (sec)

N/A 0.392 1.710 2.368 0.000 0.117 0.000 0.000 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 77 77 93 0 2479 0 433 0

N.S.

1 0.97 0.97 1.18 0.00 31.38 0.00 5.48 0.00

time (sec)

N/A 0.270 0.074 0.112 0.000 0.343 0.000 0.442 0.000

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 38 34 0 1990 0 0 33

N.S.

1 1.00 1.00 0.89 0.00 52.37 0.00 0.00 0.87

time (sec)

N/A 0.227 0.015 0.123 0.000 0.317 0.000 0.000 1.914

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 46 46 35 0 598 0 80 0

N.S.

1 1.00 1.00 0.76 0.00 13.00 0.00 1.74 0.00

time (sec)

N/A 0.255 0.031 0.157 0.000 0.277 0.000 0.357 0.000

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

97 101 417 35 0 1503 0 693 0

N.S.

1 1.04 4.30 0.36 0.00 15.49 0.00 7.14 0.00

time (sec)

N/A 0.301 6.255 1.518 0.000 0.322 0.000 0.431 0.000

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

241 292 179 356 0 0 0 806 0

N.S.

1 1.21 0.74 1.48 0.00 0.00 0.00 3.34 0.00

time (sec)

N/A 0.438 0.981 1.587 0.000 0.000 0.000 1.218 0.000

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

177 228 95 86 0 0 0 375 0

N.S.

1 1.29 0.54 0.49 0.00 0.00 0.00 2.12 0.00

time (sec)

N/A 0.371 0.375 0.956 0.000 0.000 0.000 0.877 0.000

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 68 86 0 147 0 0 0

N.S.

1 1.00 1.13 1.43 0.00 2.45 0.00 0.00 0.00

time (sec)

N/A 0.296 0.041 0.400 0.000 0.081 0.000 0.000 0.000

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

160 283 159 131 0 576 0 282 0

N.S.

1 1.77 0.99 0.82 0.00 3.60 0.00 1.76 0.00

time (sec)

N/A 0.412 0.747 0.896 0.000 0.092 0.000 0.457 0.000

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

219 270 219 343 0 2443 0 1142 0

N.S.

1 1.23 1.00 1.57 0.00 11.16 0.00 5.21 0.00

time (sec)

N/A 0.398 1.859 1.609 0.000 0.128 0.000 1.447 0.000

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 75 89 85 0 3126 0 0 0

N.S.

1 0.97 1.16 1.10 0.00 40.60 0.00 0.00 0.00

time (sec)

N/A 0.286 0.130 0.141 0.000 0.354 0.000 0.000 0.000

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 29 28 236 245 0 118 191

N.S.

1 1.00 1.00 0.97 8.14 8.45 0.00 4.07 6.59

time (sec)

N/A 0.225 0.022 0.116 0.293 0.272 0.000 0.493 1.966

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

85 83 254 101 0 1717 0 294 0

N.S.

1 0.98 2.99 1.19 0.00 20.20 0.00 3.46 0.00

time (sec)

N/A 0.281 3.151 0.186 0.000 0.342 0.000 0.430 0.000

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

142 149 231 95 0 4845 0 984 0

N.S.

1 1.05 1.63 0.67 0.00 34.12 0.00 6.93 0.00

time (sec)

N/A 0.353 0.343 0.101 0.000 0.495 0.000 0.731 0.000

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

325 365 196 498 0 0 0 1201 0

N.S.

1 1.12 0.60 1.53 0.00 0.00 0.00 3.70 0.00

time (sec)

N/A 0.508 1.173 2.672 0.000 0.000 0.000 3.137 0.000

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

244 291 155 334 0 0 0 641 0

N.S.

1 1.19 0.64 1.37 0.00 0.00 0.00 2.63 0.00

time (sec)

N/A 0.422 0.719 2.262 0.000 0.000 0.000 2.437 0.000

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 119 143 181 0 1068 0 0 0

N.S.

1 1.31 1.57 1.99 0.00 11.74 0.00 0.00 0.00

time (sec)

N/A 0.298 0.481 1.231 0.000 0.106 0.000 0.000 0.000

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 100 252 0 1464 0 0 0

N.S.

1 1.00 0.87 2.19 0.00 12.73 0.00 0.00 0.00

time (sec)

N/A 0.457 0.112 0.667 0.000 0.105 0.000 0.000 0.000

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

217 277 178 342 0 2786 0 0 0

N.S.

1 1.28 0.82 1.58 0.00 12.84 0.00 0.00 0.00

time (sec)

N/A 0.408 1.185 2.164 0.000 0.152 0.000 0.000 0.000

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 137 126 208 0 6774 0 0 0

N.S.

1 1.02 0.94 1.55 0.00 50.55 0.00 0.00 0.00

time (sec)

N/A 0.324 0.648 0.201 0.000 0.622 0.000 0.000 0.000

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

73 73 50 138 927 945 0 333 144

N.S.

1 1.00 0.68 1.89 12.70 12.95 0.00 4.56 1.97

time (sec)

N/A 0.279 0.086 0.187 0.323 0.373 0.000 1.080 2.709

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 63 47 56 485 912 0 333 129

N.S.

1 0.97 0.72 0.86 7.46 14.03 0.00 5.12 1.98

time (sec)

N/A 0.242 0.047 1.138 0.306 0.364 0.000 0.750 2.370

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

134 144 1331 169 0 5396 0 1177 0

N.S.

1 1.07 9.93 1.26 0.00 40.27 0.00 8.78 0.00

time (sec)

N/A 0.349 7.100 2.361 0.000 0.546 0.000 0.603 0.000

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

330 370 206 812 0 0 0 1141 0

N.S.

1 1.12 0.62 2.46 0.00 0.00 0.00 3.46 0.00

time (sec)

N/A 0.521 2.184 3.461 0.000 0.000 0.000 5.753 0.000

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 270 178 597 0 4355 0 0 0

N.S.

1 1.21 0.80 2.68 0.00 19.53 0.00 0.00 0.00

time (sec)

N/A 0.406 1.381 2.538 0.000 0.190 0.000 0.000 0.000

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

228 273 193 662 0 4770 0 0 0

N.S.

1 1.20 0.85 2.90 0.00 20.92 0.00 0.00 0.00

time (sec)

N/A 0.393 1.265 2.283 0.000 0.188 0.000 0.000 0.000

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

251 258 190 406 0 5442 0 0 0

N.S.

1 1.03 0.76 1.62 0.00 21.68 0.00 0.00 0.00

time (sec)

N/A 1.274 0.942 1.228 0.000 0.220 0.000 0.000 0.000

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

292 365 260 1002 0 8928 0 0 0

N.S.

1 1.25 0.89 3.43 0.00 30.58 0.00 0.00 0.00

time (sec)

N/A 0.492 2.824 3.227 0.000 0.377 0.000 0.000 0.000

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

117 117 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.317 0.000 0.000 0.000 0.000 0.000 0.000 0.000

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