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 Reduce Mupad

grade

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

verified

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

size

245 281 194 712 0 0 0 0 70 0

N.S.

1 1.15 0.79 2.91 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.489 3.109 6.958 0.000 0.000 0.000 0.000 0.172 0.000

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

225 271 171 485 0 1343 0 0 70 0

N.S.

1 1.20 0.76 2.16 0.00 5.97 0.00 0.00 0.31 0.00

time (sec)

N/A 0.484 2.042 4.274 0.000 0.170 0.000 0.000 0.167 0.000

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

219 254 175 549 0 1394 0 0 70 0

N.S.

1 1.16 0.80 2.51 0.00 6.37 0.00 0.00 0.32 0.00

time (sec)

N/A 0.457 2.045 4.168 0.000 0.167 0.000 0.000 0.171 0.000

Problem 304

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 1.159 1.390 1.200 0.000 0.193 0.000 0.000 0.175 0.000

Problem 305

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

290 351 245 1082 0 1746 0 0 70 0

N.S.

1 1.21 0.84 3.73 0.00 6.02 0.00 0.00 0.24 0.00

time (sec)

N/A 0.570 4.343 6.391 0.000 0.213 0.000 0.000 0.177 0.000

Problem 306

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 No N/A TBD TBD TBD TBD TBD TBD

size

115 115 228 0 0 0 0 0 29 0

N.S.

1 1.00 1.98 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.314 1.672 0.000 0.000 0.000 0.000 0.000 0.181 0.000

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

207 211 191 0 0 0 0 0 25 0

N.S.

1 1.02 0.92 0.00 0.00 0.00 0.00 0.00 0.12 0.00

time (sec)

N/A 0.380 0.498 0.000 0.000 0.000 0.000 0.000 1.007 0.000

Problem 308

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

124 117 120 0 0 0 0 0 25 0

N.S.

1 0.94 0.97 0.00 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.285 0.234 0.000 0.000 0.000 0.000 0.000 0.191 0.000

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 67 67 0 0 0 0 0 151 64

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 2.25 0.96

time (sec)

N/A 0.232 0.033 0.000 0.000 0.000 0.000 0.000 0.185 36.525

Problem 310

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

76 76 0 0 0 0 0 0 23 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.30 0.00

time (sec)

N/A 0.259 0.000 0.000 0.000 0.000 0.000 0.000 0.178 0.000

Problem 311

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

76 76 0 0 0 0 0 0 25 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 0.257 0.000 0.000 0.000 0.000 0.000 0.000 0.202 0.000

Problem 312

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

90 90 199 0 0 0 0 0 25 0

N.S.

1 1.00 2.21 0.00 0.00 0.00 0.00 0.00 0.28 0.00

time (sec)

N/A 0.271 1.048 0.000 0.000 0.000 0.000 0.000 0.205 0.000

Problem 313

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

90 90 195 0 0 0 0 0 25 0

N.S.

1 1.00 2.17 0.00 0.00 0.00 0.00 0.00 0.28 0.00

time (sec)

N/A 0.268 0.899 0.000 0.000 0.000 0.000 0.000 0.173 0.000

Problem 314

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 No N/A TBD TBD TBD TBD TBD TBD

size

90 90 145 0 0 0 0 0 16 0

N.S.

1 1.00 1.61 0.00 0.00 0.00 0.00 0.00 0.18 0.00

time (sec)

N/A 0.238 0.639 0.000 0.000 0.000 0.000 0.000 0.178 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

90 90 0 0 0 0 0 0 25 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.00

time (sec)

N/A 0.269 0.000 0.000 0.000 0.000 0.000 0.000 0.198 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

219 208 203 264 210 3216 0 238 25 229

N.S.

1 0.95 0.93 1.21 0.96 14.68 0.00 1.09 0.11 1.05

time (sec)

N/A 0.483 0.305 1.496 0.109 0.797 0.000 0.438 0.177 35.728

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 155 139 106 159 1049 0 163 25 153

N.S.

1 0.93 0.83 0.63 0.95 6.28 0.00 0.98 0.15 0.92

time (sec)

N/A 0.434 0.182 0.596 0.115 0.758 0.000 0.433 0.175 35.697

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

144 135 116 48 121 401 184 141 90 123

N.S.

1 0.94 0.81 0.33 0.84 2.78 1.28 0.98 0.62 0.85

time (sec)

N/A 0.338 0.063 0.467 0.107 0.133 2.424 0.389 0.160 35.662

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

290 276 268 300 288 4396 0 335 76 600

N.S.

1 0.95 0.92 1.03 0.99 15.16 0.00 1.16 0.26 2.07

time (sec)

N/A 0.614 0.262 0.957 0.122 0.885 0.000 0.425 0.184 35.636

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

385 365 362 372 470 10135 0 531 25 898

N.S.

1 0.95 0.94 0.97 1.22 26.32 0.00 1.38 0.06 2.33

time (sec)

N/A 0.740 2.575 1.902 0.119 1.736 0.000 0.409 0.190 36.251

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

767 767 300 121 0 23437 0 0 25 2338

N.S.

1 1.00 0.39 0.16 0.00 30.56 0.00 0.00 0.03 3.05

time (sec)

N/A 1.734 0.643 2.001 0.000 3.461 0.000 0.000 0.175 38.763

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

484 484 231 83 0 8236 0 0 25 951

N.S.

1 1.00 0.48 0.17 0.00 17.02 0.00 0.00 0.05 1.96

time (sec)

N/A 0.957 0.413 0.964 0.000 1.274 0.000 0.000 0.182 37.910

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

245 245 126 83 0 25429 0 0 16 609

N.S.

1 1.00 0.51 0.34 0.00 103.79 0.00 0.00 0.07 2.49

time (sec)

N/A 0.501 0.050 0.424 0.000 1.054 0.000 0.000 0.168 37.405

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

299 0 432 162 0 59362 0 0 25 19737

N.S.

1 0.00 1.44 0.54 0.00 198.54 0.00 0.00 0.08 66.01

time (sec)

N/A 0.000 0.591 2.395 0.000 3.275 0.000 0.000 0.189 39.545

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

1093 0 679 291 0 85064 0 0 0 323390

N.S.

1 0.00 0.62 0.27 0.00 77.83 0.00 0.00 0.00 295.87

time (sec)

N/A 0.000 2.275 4.721 0.000 11.051 0.000 0.000 0.340 47.758

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

284 284 439 311 263 3624 0 287 0 384

N.S.

1 1.00 1.55 1.10 0.93 12.76 0.00 1.01 0.00 1.35

time (sec)

N/A 0.570 3.456 3.513 0.112 1.215 0.000 0.434 0.506 0.397

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

233 239 258 284 213 2255 0 235 0 203

N.S.

1 1.03 1.11 1.22 0.91 9.68 0.00 1.01 0.00 0.87

time (sec)

N/A 0.511 1.054 1.420 0.117 0.919 0.000 0.393 0.294 35.817

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

200 177 184 153 163 665 0 176 41 172

N.S.

1 0.88 0.92 0.76 0.82 3.32 0.00 0.88 0.20 0.86

time (sec)

N/A 0.418 0.835 1.226 0.109 0.145 0.000 0.394 0.187 0.356

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

176 170 152 134 155 655 617 169 239 165

N.S.

1 0.97 0.86 0.76 0.88 3.72 3.51 0.96 1.36 0.94

time (sec)

N/A 0.367 0.536 1.071 0.110 0.148 92.038 0.415 0.185 35.636

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

616 561 564 389 483 10855 0 581 0 980

N.S.

1 0.91 0.92 0.63 0.78 17.62 0.00 0.94 0.00 1.59

time (sec)

N/A 0.936 4.997 2.510 0.113 2.234 0.000 0.403 0.499 36.173

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

776 715 724 483 788 15989 0 843 0 1605

N.S.

1 0.92 0.93 0.62 1.02 20.60 0.00 1.09 0.00 2.07

time (sec)

N/A 1.223 6.498 5.548 0.127 6.432 0.000 0.435 2.944 36.608

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 394 241 0 9984 22 3 5459 2431

N.S.

1 1.00 17.13 10.48 0.00 434.09 0.96 0.13 237.35 105.70

time (sec)

N/A 0.218 1.049 1.988 0.000 8.865 140.691 3.345 0.307 37.126

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 273 175 0 36403 22 3 41 1648

N.S.

1 1.00 11.87 7.61 0.00 1582.74 0.96 0.13 1.78 71.65

time (sec)

N/A 0.222 0.933 2.348 0.000 2.853 119.448 3.159 0.202 37.052

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 502 349 0 70185 15 3 32 1567

N.S.

1 1.00 35.86 24.93 0.00 5013.21 1.07 0.21 2.29 111.93

time (sec)

N/A 0.189 0.764 3.155 0.000 7.644 85.567 3.140 0.193 38.991

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 845 398 0 102913 0 3 47824 3148

N.S.

1 1.00 36.74 17.30 0.00 4474.48 0.00 0.13 2079.30 136.87

time (sec)

N/A 0.224 2.534 7.599 0.000 40.607 0.000 3.077 1.208 41.902

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 1158 525 0 133123 0 3 225974 4657

N.S.

1 1.00 50.35 22.83 0.00 5787.96 0.00 0.13 9824.96 202.48

time (sec)

N/A 0.224 2.477 12.033 0.000 127.922 0.000 3.096 42.232 46.296

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

131 123 207 178 177 1429 0 376 29 1931

N.S.

1 0.94 1.58 1.36 1.35 10.91 0.00 2.87 0.22 14.74

time (sec)

N/A 0.372 0.315 3.136 0.113 0.303 0.000 0.395 0.205 0.750

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 108 189 152 158 1041 0 322 29 1097

N.S.

1 0.96 1.67 1.35 1.40 9.21 0.00 2.85 0.26 9.71

time (sec)

N/A 0.352 0.235 1.618 0.117 0.205 0.000 0.421 0.205 0.548

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 96 160 136 121 631 0 288 29 489

N.S.

1 1.01 1.68 1.43 1.27 6.64 0.00 3.03 0.31 5.15

time (sec)

N/A 0.299 0.097 0.831 0.108 0.157 0.000 0.403 0.198 35.843

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 69 54 48 100 161 129 232 64 40

N.S.

1 0.97 0.76 0.68 1.41 2.27 1.82 3.27 0.90 0.56

time (sec)

N/A 0.246 0.030 0.528 0.114 0.108 2.342 0.358 0.196 35.524

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 112 184 185 167 1329 0 384 77 3891

N.S.

1 0.96 1.57 1.58 1.43 11.36 0.00 3.28 0.66 33.26

time (sec)

N/A 0.340 0.221 1.168 0.111 0.201 0.000 0.418 0.187 37.942

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

151 164 255 241 244 2529 0 496 29 7758

N.S.

1 1.09 1.69 1.60 1.62 16.75 0.00 3.28 0.19 51.38

time (sec)

N/A 0.403 1.233 2.412 0.111 0.529 0.000 0.395 0.214 39.086

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

182 200 200 224 0 2433 0 836 29 8773

N.S.

1 1.10 1.10 1.23 0.00 13.37 0.00 4.59 0.16 48.20

time (sec)

N/A 0.516 1.456 4.112 0.000 0.735 0.000 0.886 0.197 37.907

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 162 194 179 0 1751 0 995 29 3088

N.S.

1 1.05 1.25 1.15 0.00 11.30 0.00 6.42 0.19 19.92

time (sec)

N/A 0.436 1.006 2.174 0.000 0.443 0.000 0.749 0.200 37.851

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

127 131 171 148 0 1197 0 906 29 4299

N.S.

1 1.03 1.35 1.17 0.00 9.43 0.00 7.13 0.23 33.85

time (sec)

N/A 0.403 0.616 0.999 0.000 0.275 0.000 0.758 0.191 37.082

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

125 161 158 73 0 541 0 560 29 1409

N.S.

1 1.29 1.26 0.58 0.00 4.33 0.00 4.48 0.23 11.27

time (sec)

N/A 0.312 0.635 0.786 0.000 0.205 0.000 0.717 0.183 36.274

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

142 137 175 166 0 2589 0 1211 29 2832

N.S.

1 0.96 1.23 1.17 0.00 18.23 0.00 8.53 0.20 19.94

time (sec)

N/A 0.383 0.913 1.639 0.000 0.398 0.000 0.775 0.207 37.389

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 153 205 230 0 4113 0 2183 0 4664

N.S.

1 0.95 1.27 1.43 0.00 25.55 0.00 13.56 0.00 28.97

time (sec)

N/A 0.490 1.422 2.654 0.000 0.632 0.000 0.904 0.264 37.970

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

204 193 253 311 0 5587 0 3106 0 6534

N.S.

1 0.95 1.24 1.52 0.00 27.39 0.00 15.23 0.00 32.03

time (sec)

N/A 0.526 1.925 3.949 0.000 1.122 0.000 0.902 0.357 38.932

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

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 0.216 7.268 1.168 1.612 0.428 0.000 1.014 0.193 42.163

Problem 351

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

197 199 141 0 0 0 0 0 25 0

N.S.

1 1.01 0.72 0.00 0.00 0.00 0.00 0.00 0.13 0.00

time (sec)

N/A 0.417 0.188 0.000 0.000 0.000 0.000 0.000 0.180 0.000

Problem 352

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

140 138 106 0 0 0 0 0 25 0

N.S.

1 0.99 0.76 0.00 0.00 0.00 0.00 0.00 0.18 0.00

time (sec)

N/A 0.309 0.065 0.000 0.000 0.000 0.000 0.000 0.194 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 67 67 0 0 0 0 0 151 64

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 2.25 0.96

time (sec)

N/A 0.237 0.021 0.000 0.000 0.000 0.000 0.000 0.203 35.812

Problem 354

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

158 156 0 0 0 0 0 0 23 0

N.S.

1 0.99 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.00

time (sec)

N/A 0.363 0.000 0.000 0.000 0.000 0.000 0.000 0.226 0.000

Problem 355

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

239 234 0 0 0 0 0 0 25 0

N.S.

1 0.98 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.444 0.000 0.000 0.000 0.000 0.000 0.000 0.235 0.000

Problem 356

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 0.225 3.859 1.584 2.572 0.107 0.000 0.980 0.216 36.740

Problem 357

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 0.222 5.078 1.547 1.653 0.096 0.000 0.995 0.184 36.135

Problem 358

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

14 14 16 14 16 28 0 16 16 16

N.S.

1 1.00 1.14 1.00 1.14 2.00 0.00 1.14 1.14 1.14

time (sec)

N/A 0.187 1.260 0.808 0.766 0.095 0.000 0.635 0.177 35.780

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 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 4.794 1.285 1.670 0.117 0.000 1.377 0.195 37.958

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

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 0.221 7.907 1.345 2.851 0.148 0.000 0.977 0.187 38.482

Problem 361

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 25 0 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.09 1.09

time (sec)

N/A 0.226 5.514 0.422 3.243 0.097 0.000 6.138 0.171 36.074

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

226 221 155 0 0 0 0 0 25 0

N.S.

1 0.98 0.69 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 0.409 0.263 0.000 0.000 0.000 0.000 0.000 0.177 0.000

Problem 363

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

148 146 114 0 0 0 0 0 25 0

N.S.

1 0.99 0.77 0.00 0.00 0.00 0.00 0.00 0.17 0.00

time (sec)

N/A 0.344 0.106 0.000 0.000 0.000 0.000 0.000 0.175 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 B

verified

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

size

69 69 69 0 0 0 0 0 153 70

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 2.22 1.01

time (sec)

N/A 0.240 0.028 0.000 0.000 0.000 0.000 0.000 0.190 36.559

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

21 21 23 21 23 23 0 23 23 25

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.00 1.10 1.10 1.19

time (sec)

N/A 0.214 4.159 0.581 1.964 0.092 0.000 0.525 0.168 35.798

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

23 23 25 23 25 25 0 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.09 1.09

time (sec)

N/A 0.221 8.390 0.606 2.059 0.089 0.000 0.554 0.177 35.789

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

23 23 25 23 25 25 0 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.09 1.09

time (sec)

N/A 0.224 11.212 0.851 5.513 0.090 0.000 12.866 0.180 35.883

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 N/A 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 25 22 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.96 1.09 1.09 1.09

time (sec)

N/A 0.220 9.392 0.619 3.711 0.102 56.412 10.775 0.172 34.749

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

verified

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

size

14 14 16 14 16 16 14 16 16 16

N.S.

1 1.00 1.14 1.00 1.14 1.14 1.00 1.14 1.14 1.14

time (sec)

N/A 0.185 2.249 0.244 1.794 0.113 5.329 3.253 0.178 35.049

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

23 23 25 23 25 25 0 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.09 1.09

time (sec)

N/A 0.221 5.236 0.576 2.138 0.090 0.000 3.252 0.173 34.874

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(-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 25 0 25 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.09 1.09

time (sec)

N/A 0.222 8.602 0.618 2.220 0.088 0.000 3.464 0.174 34.841

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 139 113 114 273 179 0 218 1041 115

N.S.

1 1.09 0.88 0.89 2.13 1.40 0.00 1.70 8.13 0.90

time (sec)

N/A 0.337 0.343 4.660 0.037 0.286 0.000 0.555 0.314 34.806

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

94 102 78 83 159 118 0 152 689 90

N.S.

1 1.09 0.83 0.88 1.69 1.26 0.00 1.62 7.33 0.96

time (sec)

N/A 0.307 0.298 2.346 0.035 0.163 0.000 0.644 0.245 34.766

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

64 69 52 58 82 78 0 91 374 52

N.S.

1 1.08 0.81 0.91 1.28 1.22 0.00 1.42 5.84 0.81

time (sec)

N/A 0.269 0.119 1.244 0.032 0.117 0.000 0.592 0.198 34.655

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 47 37 42 43 37 0 53 128 28

N.S.

1 1.09 0.86 0.98 1.00 0.86 0.00 1.23 2.98 0.65

time (sec)

N/A 0.224 0.042 0.809 0.032 0.096 0.000 0.513 0.186 34.730

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 39 38 54 37 35 0 38 116 41

N.S.

1 1.03 1.00 1.42 0.97 0.92 0.00 1.00 3.05 1.08

time (sec)

N/A 0.222 0.030 0.993 0.027 0.096 0.000 0.504 0.183 34.755

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 58 50 101 56 91 0 68 316 69

N.S.

1 0.92 0.79 1.60 0.89 1.44 0.00 1.08 5.02 1.10

time (sec)

N/A 0.269 0.159 1.831 0.027 0.107 0.000 0.522 0.185 34.712

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

89 81 72 161 92 198 0 108 521 103

N.S.

1 0.91 0.81 1.81 1.03 2.22 0.00 1.21 5.85 1.16

time (sec)

N/A 0.287 0.594 3.628 0.033 0.138 0.000 0.668 0.207 34.821

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

121 110 100 253 137 371 0 154 743 138

N.S.

1 0.91 0.83 2.09 1.13 3.07 0.00 1.27 6.14 1.14

time (sec)

N/A 0.309 0.308 7.536 0.036 0.193 0.000 0.582 0.201 35.289

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 109 147 120 180 602 0 543 2952 141

N.S.

1 0.91 1.22 1.00 1.50 5.02 0.00 4.52 24.60 1.18

time (sec)

N/A 0.320 4.890 6.547 0.113 0.132 0.000 0.743 2.524 34.668

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 89 111 121 130 472 0 330 2081 112

N.S.

1 0.92 1.14 1.25 1.34 4.87 0.00 3.40 21.45 1.15

time (sec)

N/A 0.296 1.262 3.279 0.113 0.119 0.000 0.753 1.028 34.634

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 69 75 78 85 366 0 170 1290 83

N.S.

1 0.93 1.01 1.05 1.15 4.95 0.00 2.30 17.43 1.12

time (sec)

N/A 0.284 0.605 1.726 0.111 0.108 0.000 0.765 0.411 34.689

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 51 53 51 51 300 0 66 582 53

N.S.

1 0.96 1.00 0.96 0.96 5.66 0.00 1.25 10.98 1.00

time (sec)

N/A 0.242 0.403 0.980 0.113 0.103 0.000 0.591 0.412 34.669

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

52 50 52 55 50 290 0 85 559 44

N.S.

1 0.96 1.00 1.06 0.96 5.58 0.00 1.63 10.75 0.85

time (sec)

N/A 0.244 0.600 1.365 0.106 0.101 0.000 0.685 0.193 34.644

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 74 72 79 76 402 0 120 1013 64

N.S.

1 1.04 1.01 1.11 1.07 5.66 0.00 1.69 14.27 0.90

time (sec)

N/A 0.261 0.671 2.593 0.113 0.102 0.000 0.610 0.200 34.729

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

96 98 101 115 111 576 0 171 1480 82

N.S.

1 1.02 1.05 1.20 1.16 6.00 0.00 1.78 15.42 0.85

time (sec)

N/A 0.281 1.390 5.381 0.114 0.111 0.000 0.710 0.217 35.294

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 122 135 155 154 834 0 238 1969 100

N.S.

1 1.04 1.15 1.32 1.32 7.13 0.00 2.03 16.83 0.85

time (sec)

N/A 0.296 3.670 10.400 0.109 0.123 0.000 0.757 0.227 37.898

Problem 388

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

64 70 42 49 69 47 0 128 27 326

N.S.

1 1.09 0.66 0.77 1.08 0.73 0.00 2.00 0.42 5.09

time (sec)

N/A 0.358 0.241 0.711 0.037 0.085 0.000 0.828 0.180 40.341

Problem 389

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

38 49 29 28 46 34 0 37 27 69

N.S.

1 1.29 0.76 0.74 1.21 0.89 0.00 0.97 0.71 1.82

time (sec)

N/A 0.344 0.146 0.572 0.035 0.086 0.000 0.653 0.185 0.698

Problem 390

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

19 19 19 21 20 17 0 37 25 20

N.S.

1 1.00 1.00 1.11 1.05 0.89 0.00 1.95 1.32 1.05

time (sec)

N/A 0.289 0.045 0.448 0.115 0.078 0.000 0.573 0.168 34.742

Problem 391

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

50 52 47 54 70 57 0 0 25 0

N.S.

1 1.04 0.94 1.08 1.40 1.14 0.00 0.00 0.50 0.00

time (sec)

N/A 0.312 0.097 0.647 0.109 0.092 0.000 0.000 0.191 0.000

Problem 392

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

87 90 97 102 99 88 0 0 27 0

N.S.

1 1.03 1.11 1.17 1.14 1.01 0.00 0.00 0.31 0.00

time (sec)

N/A 0.350 1.656 0.705 0.114 0.093 0.000 0.000 0.187 0.000

Problem 393

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

130 102 75 157 1955 87 0 234 27 0

N.S.

1 0.78 0.58 1.21 15.04 0.67 0.00 1.80 0.21 0.00

time (sec)

N/A 0.427 0.299 0.659 0.882 0.097 0.000 0.517 0.187 0.000

Problem 394

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

94 71 55 131 827 77 0 197 27 0

N.S.

1 0.76 0.59 1.39 8.80 0.82 0.00 2.10 0.29 0.00

time (sec)

N/A 0.384 0.239 0.618 0.219 0.093 0.000 0.603 0.193 0.000

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 40 40 96 73 55 0 127 27 0

N.S.

1 0.70 0.70 1.68 1.28 0.96 0.00 2.23 0.47 0.00

time (sec)

N/A 0.373 0.060 0.571 0.164 0.093 0.000 0.481 0.181 0.000

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 38 35 42 42 42 0 0 27 88

N.S.

1 0.67 0.61 0.74 0.74 0.74 0.00 0.00 0.47 1.54

time (sec)

N/A 0.403 0.083 0.566 0.110 0.081 0.000 0.000 0.189 37.803

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 54 47 75 57 66 0 0 27 364

N.S.

1 0.59 0.52 0.82 0.63 0.73 0.00 0.00 0.30 4.00

time (sec)

N/A 0.409 0.092 0.635 0.134 0.087 0.000 0.000 0.183 39.456

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

124 62 67 85 68 86 0 0 27 555

N.S.

1 0.50 0.54 0.69 0.55 0.69 0.00 0.00 0.22 4.48

time (sec)

N/A 0.420 0.224 0.658 0.119 0.085 0.000 0.000 0.184 55.796

Problem 399

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

65 72 43 48 69 50 0 67 43 486

N.S.

1 1.11 0.66 0.74 1.06 0.77 0.00 1.03 0.66 7.48

time (sec)

N/A 0.355 0.204 0.506 0.036 0.102 0.000 0.551 0.187 45.617

Problem 400

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

42 51 31 38 46 40 0 54 43 100

N.S.

1 1.21 0.74 0.90 1.10 0.95 0.00 1.29 1.02 2.38

time (sec)

N/A 0.344 0.150 0.479 0.034 0.078 0.000 0.505 0.173 39.832