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Integrals 301 to 371

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 Reduce Mupad

grade

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

verified

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

size

321 332 223 0 0 0 258 0 665 0

N.S.

1 1.03 0.69 0.00 0.00 0.00 0.80 0.00 2.07 0.00

time (sec)

N/A 0.727 0.273 0.000 0.000 0.000 119.079 0.000 0.306 0.000

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

246 252 186 0 0 0 202 0 411 0

N.S.

1 1.02 0.76 0.00 0.00 0.00 0.82 0.00 1.67 0.00

time (sec)

N/A 0.474 0.134 0.000 0.000 0.000 77.694 0.000 0.270 0.000

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

193 204 166 0 0 0 144 0 271 0

N.S.

1 1.06 0.86 0.00 0.00 0.00 0.75 0.00 1.40 0.00

time (sec)

N/A 0.299 0.060 0.000 0.000 0.000 48.854 0.000 0.273 0.000

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

146 146 112 0 0 0 87 0 129 0

N.S.

1 1.00 0.77 0.00 0.00 0.00 0.60 0.00 0.88 0.00

time (sec)

N/A 0.241 0.030 0.000 0.000 0.000 27.359 0.000 0.260 0.000

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 74 66 0 0 0 37 0 68 0

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.50 0.00 0.92 0.00

time (sec)

N/A 0.177 0.014 0.000 0.000 0.000 6.680 0.000 0.275 0.000

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

209 224 0 0 0 0 0 0 38 0

N.S.

1 1.07 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.00

time (sec)

N/A 0.390 0.000 0.000 0.000 0.000 0.000 0.000 0.268 0.000

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 242 0 0 0 0 0 0 172 0

N.S.

1 0.96 0.00 0.00 0.00 0.00 0.00 0.00 0.68 0.00

time (sec)

N/A 0.489 0.000 0.000 0.000 0.000 0.000 0.000 0.258 0.000

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

407 398 0 0 0 0 0 0 680 0

N.S.

1 0.98 0.00 0.00 0.00 0.00 0.00 0.00 1.67 0.00

time (sec)

N/A 0.699 0.000 0.000 0.000 0.000 0.000 0.000 0.271 0.000

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

309 318 227 0 0 0 280 0 503 0

N.S.

1 1.03 0.73 0.00 0.00 0.00 0.91 0.00 1.63 0.00

time (sec)

N/A 0.768 0.103 0.000 0.000 0.000 139.985 0.000 0.250 0.000

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

236 239 221 0 0 0 228 0 357 0

N.S.

1 1.01 0.94 0.00 0.00 0.00 0.97 0.00 1.51 0.00

time (sec)

N/A 0.473 0.086 0.000 0.000 0.000 93.577 0.000 0.272 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

185 188 155 0 0 0 160 0 206 0

N.S.

1 1.02 0.84 0.00 0.00 0.00 0.86 0.00 1.11 0.00

time (sec)

N/A 0.300 0.053 0.000 0.000 0.000 57.412 0.000 0.247 0.000

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 138 108 0 0 0 105 0 102 0

N.S.

1 1.00 0.78 0.00 0.00 0.00 0.76 0.00 0.74 0.00

time (sec)

N/A 0.241 0.032 0.000 0.000 0.000 27.503 0.000 0.287 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 61 61 0 0 0 46 0 33 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.75 0.00 0.54 0.00

time (sec)

N/A 0.170 0.005 0.000 0.000 0.000 6.164 0.000 0.275 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 160 0 0 0 0 0 0 44 0

N.S.

1 1.05 0.00 0.00 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.345 0.000 0.000 0.000 0.000 0.000 0.000 0.296 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

301 294 0 0 0 0 0 0 350 0

N.S.

1 0.98 0.00 0.00 0.00 0.00 0.00 0.00 1.16 0.00

time (sec)

N/A 0.567 0.000 0.000 0.000 0.000 0.000 0.000 0.302 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

590 562 0 0 0 0 0 0 0 0

N.S.

1 0.95 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.968 0.000 0.000 0.000 0.000 0.000 0.000 0.748 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

310 307 226 0 0 0 292 0 586 0

N.S.

1 0.99 0.73 0.00 0.00 0.00 0.94 0.00 1.89 0.00

time (sec)

N/A 0.797 0.157 0.000 0.000 0.000 136.613 0.000 0.246 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

233 234 215 0 0 0 233 0 374 0

N.S.

1 1.00 0.92 0.00 0.00 0.00 1.00 0.00 1.61 0.00

time (sec)

N/A 0.485 0.105 0.000 0.000 0.000 95.294 0.000 0.255 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

186 189 153 0 0 0 172 0 177 0

N.S.

1 1.02 0.82 0.00 0.00 0.00 0.92 0.00 0.95 0.00

time (sec)

N/A 0.310 0.076 0.000 0.000 0.000 44.380 0.000 0.259 0.000

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

139 139 108 0 0 0 110 0 110 0

N.S.

1 1.00 0.78 0.00 0.00 0.00 0.79 0.00 0.79 0.00

time (sec)

N/A 0.245 0.042 0.000 0.000 0.000 24.877 0.000 0.233 0.000

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 69 0 0 0 60 0 78 0

N.S.

1 1.00 0.92 0.00 0.00 0.00 0.80 0.00 1.04 0.00

time (sec)

N/A 0.188 0.013 0.000 0.000 0.000 9.854 0.000 0.239 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 160 0 0 0 0 0 0 180 0

N.S.

1 1.05 0.00 0.00 0.00 0.00 0.00 0.00 1.18 0.00

time (sec)

N/A 0.348 0.000 0.000 0.000 0.000 0.000 0.000 0.298 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

315 306 0 0 0 0 0 0 0 0

N.S.

1 0.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.622 0.000 0.000 0.000 0.000 0.000 0.000 0.355 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

590 565 0 0 0 0 0 0 78 0

N.S.

1 0.96 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.00

time (sec)

N/A 1.003 0.000 0.000 0.000 0.000 0.000 0.000 0.332 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

273 284 253 0 0 0 282 0 781 0

N.S.

1 1.04 0.93 0.00 0.00 0.00 1.03 0.00 2.86 0.00

time (sec)

N/A 0.747 0.216 0.000 0.000 0.000 133.675 0.000 0.269 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

230 234 222 0 0 0 230 0 419 0

N.S.

1 1.02 0.97 0.00 0.00 0.00 1.00 0.00 1.82 0.00

time (sec)

N/A 0.495 0.129 0.000 0.000 0.000 74.246 0.000 0.263 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

180 180 159 0 0 0 162 0 272 0

N.S.

1 1.00 0.88 0.00 0.00 0.00 0.90 0.00 1.51 0.00

time (sec)

N/A 0.301 0.085 0.000 0.000 0.000 42.825 0.000 0.252 0.000

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 113 98 0 0 0 109 0 332 0

N.S.

1 1.00 0.87 0.00 0.00 0.00 0.96 0.00 2.94 0.00

time (sec)

N/A 0.224 0.088 0.000 0.000 0.000 33.858 0.000 0.223 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 35 32 32 44 36 44 0 46 36

N.S.

1 1.00 0.91 0.91 1.26 1.03 1.26 0.00 1.31 1.03

time (sec)

N/A 0.152 0.014 0.416 0.039 0.098 8.284 0.000 0.275 9.169

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

193 211 0 0 0 0 0 0 46 0

N.S.

1 1.09 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.372 0.000 0.000 0.000 0.000 0.000 0.000 0.259 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

456 432 0 0 0 0 0 0 0 0

N.S.

1 0.95 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.803 0.000 0.000 0.000 0.000 0.000 0.000 0.558 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

793 730 0 0 0 0 0 0 0 0

N.S.

1 0.92 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.336 0.000 0.000 0.000 0.000 0.000 0.000 2.160 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

302 317 258 0 0 0 298 0 571 0

N.S.

1 1.05 0.85 0.00 0.00 0.00 0.99 0.00 1.89 0.00

time (sec)

N/A 0.801 0.307 0.000 0.000 0.000 106.842 0.000 0.253 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

226 237 220 0 0 0 238 0 424 0

N.S.

1 1.05 0.97 0.00 0.00 0.00 1.05 0.00 1.88 0.00

time (sec)

N/A 0.365 0.132 0.000 0.000 0.000 67.569 0.000 0.284 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 165 172 0 0 0 178 0 447 0

N.S.

1 1.02 1.06 0.00 0.00 0.00 1.10 0.00 2.76 0.00

time (sec)

N/A 0.299 0.091 0.000 0.000 0.000 57.950 0.000 0.259 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 113 96 0 0 0 112 0 356 0

N.S.

1 1.00 0.85 0.00 0.00 0.00 0.99 0.00 3.15 0.00

time (sec)

N/A 0.230 0.083 0.000 0.000 0.000 34.003 0.000 0.241 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 72 0 0 0 63 0 81 0

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.84 0.00 1.08 0.00

time (sec)

N/A 0.185 0.016 0.000 0.000 0.000 8.491 0.000 0.251 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

194 211 0 0 0 0 0 0 0 0

N.S.

1 1.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.383 0.000 0.000 0.000 0.000 0.000 0.000 0.348 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

400 377 0 0 0 0 0 0 0 0

N.S.

1 0.94 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.733 0.000 0.000 0.000 0.000 0.000 0.000 0.489 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

792 729 0 0 0 0 0 0 78 0

N.S.

1 0.92 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 1.312 0.000 0.000 0.000 0.000 0.000 0.000 0.322 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 158 117 0 0 0 258 0 533 0

N.S.

1 1.02 0.75 0.00 0.00 0.00 1.66 0.00 3.44 0.00

time (sec)

N/A 0.269 0.038 0.000 0.000 0.000 34.748 0.000 0.243 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 155 117 0 0 0 258 0 533 0

N.S.

1 1.00 0.75 0.00 0.00 0.00 1.66 0.00 3.44 0.00

time (sec)

N/A 0.269 0.039 0.000 0.000 0.000 34.215 0.000 0.243 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 113 96 0 0 0 112 0 356 0

N.S.

1 1.00 0.85 0.00 0.00 0.00 0.99 0.00 3.15 0.00

time (sec)

N/A 0.232 0.005 0.000 0.000 0.000 33.916 0.000 0.244 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 113 98 0 0 0 109 0 332 0

N.S.

1 1.00 0.87 0.00 0.00 0.00 0.96 0.00 2.94 0.00

time (sec)

N/A 0.216 0.081 0.000 0.000 0.000 33.536 0.000 0.258 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

139 139 108 0 0 0 110 0 110 0

N.S.

1 1.00 0.78 0.00 0.00 0.00 0.79 0.00 0.79 0.00

time (sec)

N/A 0.238 0.036 0.000 0.000 0.000 23.235 0.000 0.252 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 138 108 0 0 0 105 0 102 0

N.S.

1 1.00 0.78 0.00 0.00 0.00 0.76 0.00 0.74 0.00

time (sec)

N/A 0.239 0.034 0.000 0.000 0.000 28.279 0.000 0.283 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

146 146 112 0 0 0 87 0 129 0

N.S.

1 1.00 0.77 0.00 0.00 0.00 0.60 0.00 0.88 0.00

time (sec)

N/A 0.242 0.032 0.000 0.000 0.000 27.163 0.000 0.241 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

146 146 115 0 0 0 104 0 202 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.71 0.00 1.38 0.00

time (sec)

N/A 0.244 0.033 0.000 0.000 0.000 33.343 0.000 0.241 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

146 146 117 0 0 0 104 0 269 0

N.S.

1 1.00 0.80 0.00 0.00 0.00 0.71 0.00 1.84 0.00

time (sec)

N/A 0.249 0.045 0.000 0.000 0.000 34.735 0.000 0.269 0.000

Problem 350

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

24 24 26 22 24 24 0 24 30653 24

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.00 1.00 1277.21 1.00

time (sec)

N/A 0.151 6.679 0.178 0.078 0.148 0.000 0.608 103.400 8.857

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A 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 TBD

size

24 24 26 22 24 24 22 24 7829 24

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.92 1.00 326.21 1.00

time (sec)

N/A 0.152 8.376 0.168 0.077 0.119 111.011 0.432 30.824 8.855

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A 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 TBD

size

24 24 26 22 24 24 22 24 32 24

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.92 1.00 1.33 1.00

time (sec)

N/A 0.163 7.491 0.181 0.081 0.113 96.483 0.269 1.140 9.305

Problem 353

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

24 24 26 22 24 42 0 24 43 24

N.S.

1 1.00 1.08 0.92 1.00 1.75 0.00 1.00 1.79 1.00

time (sec)

N/A 0.155 4.989 0.181 0.078 0.134 0.000 0.173 2.785 9.252

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

670 2533 0 0 0 0 0 0 0 0

N.S.

1 3.78 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.076 0.000 0.000 0.000 0.000 0.000 0.000 157.729 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

482 1261 0 0 0 0 0 0 0 0

N.S.

1 2.62 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.842 0.000 0.000 0.000 0.000 0.000 0.000 1.014 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

381 625 0 0 0 0 0 0 0 0

N.S.

1 1.64 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.031 0.000 0.000 0.000 0.000 0.000 0.000 0.695 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

192 307 0 0 0 0 0 0 0 0

N.S.

1 1.60 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.628 0.000 0.000 0.000 0.000 0.000 0.000 0.301 0.000

Problem 358

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

152 152 157 0 0 0 0 0 0 0

N.S.

1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.413 0.038 0.000 0.000 0.000 0.000 0.000 0.312 0.000

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A 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 TBD

size

20 20 22 20 22 22 17 22 213 22

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.85 1.10 10.65 1.10

time (sec)

N/A 0.245 0.819 0.008 0.082 0.088 71.989 0.123 0.218 8.642

Problem 360

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

20 20 22 20 22 22 0 22 669 22

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.00 1.10 33.45 1.10

time (sec)

N/A 0.241 0.717 0.007 0.074 0.100 0.000 0.124 0.251 8.961

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

613 1576 0 0 0 0 0 0 101 0

N.S.

1 2.57 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.00

time (sec)

N/A 2.870 0.000 0.000 0.000 0.000 0.000 0.000 0.252 0.000

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

443 649 0 0 0 0 0 0 81 0

N.S.

1 1.47 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.00

time (sec)

N/A 1.091 0.000 0.000 0.000 0.000 0.000 0.000 0.230 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

206 368 0 0 0 0 0 0 59 0

N.S.

1 1.79 0.00 0.00 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.684 0.000 0.000 0.000 0.000 0.000 0.000 0.248 0.000

Problem 364

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

155 155 160 0 0 0 0 0 38 0

N.S.

1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.427 0.071 0.000 0.000 0.000 0.000 0.000 0.216 0.000

Problem 365

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

22 22 24 24 26 26 0 26 26 26

N.S.

1 1.00 1.09 1.09 1.18 1.18 0.00 1.18 1.18 1.18

time (sec)

N/A 0.257 0.918 0.007 0.083 0.094 0.000 0.119 0.232 8.669

Problem 366

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

24 24 26 24 26 26 0 26 57 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.00 1.08 2.38 1.08

time (sec)

N/A 0.267 0.918 0.008 0.073 0.103 0.000 0.124 0.242 8.761

Problem 367

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

22 22 24 20 22 22 0 22 24938 22

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.00 1.00 1133.55 1.00

time (sec)

N/A 0.254 2.324 0.177 0.073 0.120 0.000 0.246 7.226 9.077

Problem 368

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

22 22 24 20 22 22 0 22 7323 22

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.00 1.00 332.86 1.00

time (sec)

N/A 0.248 2.409 0.179 0.077 0.146 0.000 0.247 3.098 8.659

Problem 369

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

22 22 24 20 22 22 0 22 653 22

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.00 1.00 29.68 1.00

time (sec)

N/A 0.253 3.605 0.177 0.079 0.141 0.000 0.238 0.958 8.964

Problem 370

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

22 22 24 20 22 22 0 22 963 22

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.00 1.00 43.77 1.00

time (sec)

N/A 0.250 2.321 0.178 0.077 0.130 0.000 0.134 0.440 8.981

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 24 22 24 24 0 24 14831 24

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 674.14 1.09

time (sec)

N/A 0.255 0.994 0.007 0.075 0.123 0.000 0.303 0.556 8.777

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