2.2.3 Integrals 201 to 300

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 201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

350 372 0 2734 0 448 0 0 0

N.S.

1 1.06 0.00 7.81 0.00 1.28 0.00 0.00 0.00

time (sec)

N/A 0.976 0.000 0.959 0.000 0.311 0.000 0.000 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

390 371 463 0 993 584 0 0 0

N.S.

1 0.95 1.19 0.00 2.55 1.50 0.00 0.00 0.00

time (sec)

N/A 0.525 1.295 0.000 0.589 0.129 0.000 0.000 0.000

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

251 244 835 0 503 364 0 0 0

N.S.

1 0.97 3.33 0.00 2.00 1.45 0.00 0.00 0.00

time (sec)

N/A 0.354 1.925 0.000 0.351 0.121 0.000 0.000 0.000

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

115 114 166 0 151 152 0 0 0

N.S.

1 0.99 1.44 0.00 1.31 1.32 0.00 0.00 0.00

time (sec)

N/A 0.274 0.292 0.000 0.220 0.102 0.000 0.000 0.000

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 20 22 59 32 22 22

N.S.

1 1.00 1.09 0.91 1.00 2.68 1.45 1.00 1.00

time (sec)

N/A 0.176 11.035 0.180 0.899 0.264 28.566 0.601 5.879

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 20 22 70 0 22 22

N.S.

1 1.00 1.09 0.91 1.00 3.18 0.00 1.00 1.00

time (sec)

N/A 0.180 15.252 0.178 1.161 0.284 0.000 0.758 5.952

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

633 638 256 2704 2151 333 0 1558 0

N.S.

1 1.01 0.40 4.27 3.40 0.53 0.00 2.46 0.00

time (sec)

N/A 0.780 1.665 0.462 0.308 0.289 0.000 0.335 0.000

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

288 293 147 801 681 142 0 453 0

N.S.

1 1.02 0.51 2.78 2.36 0.49 0.00 1.57 0.00

time (sec)

N/A 0.438 0.533 0.530 0.227 0.270 0.000 0.329 0.000

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 65 134 120 58 94 82 69

N.S.

1 1.00 0.76 1.58 1.41 0.68 1.11 0.96 0.81

time (sec)

N/A 0.374 0.077 0.151 0.193 0.272 0.284 0.302 5.803

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

396 424 118 327 0 448 0 0 0

N.S.

1 1.07 0.30 0.83 0.00 1.13 0.00 0.00 0.00

time (sec)

N/A 1.407 25.223 0.283 0.000 0.293 0.000 0.000 0.000

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

555 567 180 1176 0 730 0 0 0

N.S.

1 1.02 0.32 2.12 0.00 1.32 0.00 0.00 0.00

time (sec)

N/A 1.637 0.872 0.356 0.000 0.383 0.000 0.000 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

513 482 432 366 561 308 0 780 0

N.S.

1 0.94 0.84 0.71 1.09 0.60 0.00 1.52 0.00

time (sec)

N/A 0.661 1.621 1.276 0.267 0.285 0.000 0.423 0.000

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

243 228 213 175 248 159 0 409 0

N.S.

1 0.94 0.88 0.72 1.02 0.65 0.00 1.68 0.00

time (sec)

N/A 0.383 0.701 0.406 0.206 0.271 0.000 0.372 0.000

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

130 129 114 86 92 98 0 172 0

N.S.

1 0.99 0.88 0.66 0.71 0.75 0.00 1.32 0.00

time (sec)

N/A 0.349 0.110 0.103 0.205 0.283 0.000 0.329 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 20 22 22 19 22 22

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.86 1.00 1.00

time (sec)

N/A 0.178 63.335 0.102 1.033 0.258 1.700 0.386 6.182

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 20 22 33 20 22 22

N.S.

1 1.00 1.09 0.91 1.00 1.50 0.91 1.00 1.00

time (sec)

N/A 0.175 58.438 0.105 1.705 0.259 10.580 0.395 6.575

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

855 866 929 936 1003 576 0 11931 0

N.S.

1 1.01 1.09 1.09 1.17 0.67 0.00 13.95 0.00

time (sec)

N/A 1.125 2.980 1.894 0.668 0.300 0.000 0.952 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

419 427 540 391 458 258 0 3727 0

N.S.

1 1.02 1.29 0.93 1.09 0.62 0.00 8.89 0.00

time (sec)

N/A 0.623 0.701 1.181 0.447 0.349 0.000 0.662 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 127 133 108 138 121 0 663 0

N.S.

1 0.93 0.98 0.79 1.01 0.89 0.00 4.88 0.00

time (sec)

N/A 0.635 0.072 0.898 0.425 0.266 0.000 0.510 0.000

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

434 462 170 156 0 548 0 0 0

N.S.

1 1.06 0.39 0.36 0.00 1.26 0.00 0.00 0.00

time (sec)

N/A 1.697 25.311 0.993 0.000 0.389 0.000 0.000 0.000

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

566 584 313 1554 0 798 0 0 0

N.S.

1 1.03 0.55 2.75 0.00 1.41 0.00 0.00 0.00

time (sec)

N/A 1.812 0.939 1.081 0.000 0.334 0.000 0.000 0.000

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

630 599 613 424 1260 461 0 0 0

N.S.

1 0.95 0.97 0.67 2.00 0.73 0.00 0.00 0.00

time (sec)

N/A 0.830 1.950 1.921 0.778 0.306 0.000 0.000 0.000

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

318 305 378 225 584 247 0 0 0

N.S.

1 0.96 1.19 0.71 1.84 0.78 0.00 0.00 0.00

time (sec)

N/A 0.505 0.851 0.654 0.466 0.336 0.000 0.000 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

141 150 146 105 219 143 0 0 0

N.S.

1 1.06 1.04 0.74 1.55 1.01 0.00 0.00 0.00

time (sec)

N/A 0.456 0.105 0.227 0.319 0.284 0.000 0.000 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 20 22 36 19 22 22

N.S.

1 1.00 1.09 0.91 1.00 1.64 0.86 1.00 1.00

time (sec)

N/A 0.177 63.411 0.191 0.825 0.305 2.925 0.458 6.430

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 20 22 47 20 22 22

N.S.

1 1.00 1.09 0.91 1.00 2.14 0.91 1.00 1.00

time (sec)

N/A 0.180 46.459 0.185 1.102 0.277 22.101 0.518 6.537

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

289 234 226 0 175 234 0 486 0

N.S.

1 0.81 0.78 0.00 0.61 0.81 0.00 1.68 0.00

time (sec)

N/A 0.927 0.514 0.000 0.382 0.725 0.000 0.387 0.000

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

202 168 111 0 193 143 0 286 0

N.S.

1 0.83 0.55 0.00 0.96 0.71 0.00 1.42 0.00

time (sec)

N/A 0.652 0.290 0.000 0.373 0.698 0.000 0.340 0.000

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

160 135 97 0 156 128 0 192 0

N.S.

1 0.84 0.61 0.00 0.98 0.80 0.00 1.20 0.00

time (sec)

N/A 0.525 0.235 0.000 0.379 0.662 0.000 0.337 0.000

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

85 72 70 0 129 84 0 90 0

N.S.

1 0.85 0.82 0.00 1.52 0.99 0.00 1.06 0.00

time (sec)

N/A 0.318 0.097 0.000 0.363 0.679 0.000 0.303 0.000

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

42 42 42 0 23 46 0 37 0

N.S.

1 1.00 1.00 0.00 0.55 1.10 0.00 0.88 0.00

time (sec)

N/A 0.248 0.111 0.000 0.217 0.269 0.000 0.310 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

120 88 85 0 126 0 0 0 0

N.S.

1 0.73 0.71 0.00 1.05 0.00 0.00 0.00 0.00

time (sec)

N/A 0.500 0.184 0.000 0.374 0.000 0.000 0.000 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

175 121 115 0 129 0 0 0 0

N.S.

1 0.69 0.66 0.00 0.74 0.00 0.00 0.00 0.00

time (sec)

N/A 0.607 0.227 0.000 0.386 0.000 0.000 0.000 0.000

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

267 185 184 0 129 0 0 0 0

N.S.

1 0.69 0.69 0.00 0.48 0.00 0.00 0.00 0.00

time (sec)

N/A 0.859 0.337 0.000 0.376 0.000 0.000 0.000 0.000

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

267 222 175 0 386 0 0 0 0

N.S.

1 0.83 0.66 0.00 1.45 0.00 0.00 0.00 0.00

time (sec)

N/A 0.643 0.609 0.000 0.520 0.000 0.000 0.000 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

227 182 160 0 424 0 0 0 0

N.S.

1 0.80 0.70 0.00 1.87 0.00 0.00 0.00 0.00

time (sec)

N/A 0.556 0.382 0.000 0.505 0.000 0.000 0.000 0.000

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

89 74 72 0 129 89 0 0 0

N.S.

1 0.83 0.81 0.00 1.45 1.00 0.00 0.00 0.00

time (sec)

N/A 0.399 0.045 0.000 0.371 0.667 0.000 0.000 0.000

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

44 44 44 0 23 46 0 0 0

N.S.

1 1.00 1.00 0.00 0.52 1.05 0.00 0.00 0.00

time (sec)

N/A 0.317 0.105 0.000 0.218 0.262 0.000 0.000 0.000

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

133 110 96 0 487 0 0 0 0

N.S.

1 0.83 0.72 0.00 3.66 0.00 0.00 0.00 0.00

time (sec)

N/A 0.403 0.153 0.000 0.482 0.000 0.000 0.000 0.000

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

168 143 133 0 380 0 0 0 0

N.S.

1 0.85 0.79 0.00 2.26 0.00 0.00 0.00 0.00

time (sec)

N/A 0.465 0.229 0.000 0.501 0.000 0.000 0.000 0.000

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

126 90 87 0 126 0 0 0 0

N.S.

1 0.71 0.69 0.00 1.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.580 0.197 0.000 0.379 0.000 0.000 0.000 0.000

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

247 180 208 0 129 0 0 0 0

N.S.

1 0.73 0.84 0.00 0.52 0.00 0.00 0.00 0.00

time (sec)

N/A 0.817 0.316 0.000 0.381 0.000 0.000 0.000 0.000

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

168 118 131 0 172 0 0 0 0

N.S.

1 0.70 0.78 0.00 1.02 0.00 0.00 0.00 0.00

time (sec)

N/A 0.599 0.194 0.000 0.372 0.000 0.000 0.000 0.000

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

116 85 88 0 155 0 0 0 0

N.S.

1 0.73 0.76 0.00 1.34 0.00 0.00 0.00 0.00

time (sec)

N/A 0.488 0.204 0.000 0.378 0.000 0.000 0.000 0.000

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

45 45 42 0 31 64 0 0 0

N.S.

1 1.00 0.93 0.00 0.69 1.42 0.00 0.00 0.00

time (sec)

N/A 0.246 0.112 0.000 0.197 0.256 0.000 0.000 0.000

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

91 75 72 0 171 116 0 0 0

N.S.

1 0.82 0.79 0.00 1.88 1.27 0.00 0.00 0.00

time (sec)

N/A 0.318 0.068 0.000 0.377 0.681 0.000 0.000 0.000

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

172 140 113 0 1389 160 0 0 0

N.S.

1 0.81 0.66 0.00 8.08 0.93 0.00 0.00 0.00

time (sec)

N/A 0.537 0.167 0.000 1.173 0.777 0.000 0.000 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

217 173 112 0 1943 181 0 0 0

N.S.

1 0.80 0.52 0.00 8.95 0.83 0.00 0.00 0.00

time (sec)

N/A 0.661 0.262 0.000 1.667 0.780 0.000 0.000 0.000

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

299 237 237 0 1120 0 0 0 0

N.S.

1 0.79 0.79 0.00 3.75 0.00 0.00 0.00 0.00

time (sec)

N/A 0.747 0.701 0.000 1.021 0.000 0.000 0.000 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

262 204 228 0 749 0 0 0 0

N.S.

1 0.78 0.87 0.00 2.86 0.00 0.00 0.00 0.00

time (sec)

N/A 0.679 0.312 0.000 0.770 0.000 0.000 0.000 0.000

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

168 120 113 0 129 0 0 0 0

N.S.

1 0.71 0.67 0.00 0.77 0.00 0.00 0.00 0.00

time (sec)

N/A 0.696 0.294 0.000 0.399 0.000 0.000 0.000 0.000

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

122 87 90 0 126 0 0 0 0

N.S.

1 0.71 0.74 0.00 1.03 0.00 0.00 0.00 0.00

time (sec)

N/A 0.580 0.232 0.000 0.375 0.000 0.000 0.000 0.000

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

164 140 136 0 383 0 0 0 0

N.S.

1 0.85 0.83 0.00 2.34 0.00 0.00 0.00 0.00

time (sec)

N/A 0.523 0.273 0.000 0.487 0.000 0.000 0.000 0.000

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

141 113 96 0 487 0 0 0 0

N.S.

1 0.80 0.68 0.00 3.45 0.00 0.00 0.00 0.00

time (sec)

N/A 0.423 0.185 0.000 0.499 0.000 0.000 0.000 0.000

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

47 47 44 0 31 64 0 0 0

N.S.

1 1.00 0.94 0.00 0.66 1.36 0.00 0.00 0.00

time (sec)

N/A 0.327 0.119 0.000 0.210 0.270 0.000 0.000 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

95 77 72 0 129 133 0 0 0

N.S.

1 0.81 0.76 0.00 1.36 1.40 0.00 0.00 0.00

time (sec)

N/A 0.410 0.072 0.000 0.382 0.719 0.000 0.000 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

237 185 165 0 408 0 0 0 0

N.S.

1 0.78 0.70 0.00 1.72 0.00 0.00 0.00 0.00

time (sec)

N/A 0.604 0.768 0.000 0.498 0.000 0.000 0.000 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

277 224 192 0 405 0 0 0 0

N.S.

1 0.81 0.69 0.00 1.46 0.00 0.00 0.00 0.00

time (sec)

N/A 0.716 0.944 0.000 0.505 0.000 0.000 0.000 0.000

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

18 18 20 18 20 20 17 20 20

N.S.

1 1.00 1.11 1.00 1.11 1.11 0.94 1.11 1.11

time (sec)

N/A 0.171 10.993 0.054 0.438 0.276 8.020 0.320 6.135

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

503 483 384 0 0 0 0 0 0

N.S.

1 0.96 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.599 0.550 0.000 0.000 0.000 0.000 0.000 0.000

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

369 355 288 0 0 0 0 0 0

N.S.

1 0.96 0.78 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.446 0.365 0.000 0.000 0.000 0.000 0.000 0.000

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

243 235 192 0 0 0 0 0 0

N.S.

1 0.97 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.313 0.330 0.000 0.000 0.000 0.000 0.000 0.000

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

117 117 121 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

time (sec)

N/A 0.241 0.078 0.000 0.000 0.000 0.000 0.000 0.000

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

16 16 18 16 18 18 14 18 18

N.S.

1 1.00 1.12 1.00 1.12 1.12 0.88 1.12 1.12

time (sec)

N/A 0.168 1.027 0.049 0.502 0.265 1.878 0.338 6.331

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

16 16 18 16 18 18 15 18 18

N.S.

1 1.00 1.12 1.00 1.12 1.12 0.94 1.12 1.12

time (sec)

N/A 0.170 0.905 0.049 0.508 0.274 7.610 0.325 6.314

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

519 519 411 0 0 0 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.797 0.621 0.000 0.000 0.000 0.000 0.000 0.000

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

383 383 313 0 0 0 0 0 0

N.S.

1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.590 0.402 0.000 0.000 0.000 0.000 0.000 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

255 255 215 0 0 0 0 0 0

N.S.

1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.423 0.388 0.000 0.000 0.000 0.000 0.000 0.000

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

122 122 126 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

time (sec)

N/A 0.224 0.196 0.000 0.000 0.000 0.000 0.000 0.000

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 25 22 17 22 22

N.S.

1 1.00 1.10 1.00 1.25 1.10 0.85 1.10 1.10

time (sec)

N/A 0.182 2.165 0.048 0.482 0.286 4.458 0.328 6.146

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 27 22 19 22 22

N.S.

1 1.00 1.10 1.00 1.35 1.10 0.95 1.10 1.10

time (sec)

N/A 0.182 1.835 0.043 0.489 0.275 19.634 0.319 6.073

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

856 819 648 0 0 0 0 0 0

N.S.

1 0.96 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.017 1.114 0.000 0.000 0.000 0.000 0.000 0.000

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

556 534 434 0 0 0 0 0 0

N.S.

1 0.96 0.78 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.598 1.075 0.000 0.000 0.000 0.000 0.000 0.000

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

261 261 247 0 0 0 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.392 0.479 0.000 0.000 0.000 0.000 0.000 0.000

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 62 52 19 24 24

N.S.

1 1.00 1.09 1.00 2.82 2.36 0.86 1.09 1.09

time (sec)

N/A 0.179 3.245 0.326 1.041 0.301 18.645 0.384 6.223

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 67 52 20 24 24

N.S.

1 1.00 1.09 1.00 3.05 2.36 0.91 1.09 1.09

time (sec)

N/A 0.183 2.811 0.371 1.035 0.283 51.056 0.382 6.065

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 24 24 0 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.00 1.09 1.09

time (sec)

N/A 0.186 2.040 0.066 0.982 0.255 0.000 0.347 6.107

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 22 22 17 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.10 0.85 1.10 1.10

time (sec)

N/A 0.176 1.782 0.098 0.861 0.290 103.165 0.353 5.884

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

18 18 20 18 20 20 17 20 20

N.S.

1 1.00 1.11 1.00 1.11 1.11 0.94 1.11 1.11

time (sec)

N/A 0.169 0.189 0.084 0.560 0.261 41.919 0.322 6.071

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 24 23 19 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.05 0.86 1.09 1.09

time (sec)

N/A 0.182 1.508 0.092 0.524 0.259 106.656 0.326 5.842

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 24 27 0 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.23 0.00 1.09 1.09

time (sec)

N/A 0.188 1.328 0.066 0.527 0.275 0.000 0.332 5.948

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 0 22 1509 54 0 24 24

N.S.

1 1.00 0.00 1.00 68.59 2.45 0.00 1.09 1.09

time (sec)

N/A 0.181 0.000 0.304 4.797 0.272 0.000 0.403 5.915

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 0 20 1476 52 0 22 22

N.S.

1 1.00 0.00 1.00 73.80 2.60 0.00 1.10 1.10

time (sec)

N/A 0.176 0.000 0.273 4.587 0.276 0.000 0.425 6.055

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

18 18 20 18 1403 51 0 20 20

N.S.

1 1.00 1.11 1.00 77.94 2.83 0.00 1.11 1.11

time (sec)

N/A 0.163 7.925 0.296 1.468 0.279 0.000 0.347 6.012

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 0 22 5041 53 0 24 24

N.S.

1 1.00 0.00 1.00 229.14 2.41 0.00 1.09 1.09

time (sec)

N/A 0.185 0.000 0.369 24.272 0.288 0.000 0.366 5.969

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 0 22 5369 59 0 24 24

N.S.

1 1.00 0.00 1.00 244.05 2.68 0.00 1.09 1.09

time (sec)

N/A 0.185 0.000 0.280 33.204 0.286 0.000 0.363 5.859

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 24 26 24 26 26 0 26 26

N.S.

1 1.00 1.08 1.00 1.08 1.08 0.00 1.08 1.08

time (sec)

N/A 0.186 1.843 0.113 1.935 0.271 0.000 171.343 5.808

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

224 224 150 188 258 185 0 1263 0

N.S.

1 1.00 0.67 0.84 1.15 0.83 0.00 5.64 0.00

time (sec)

N/A 0.623 0.421 0.558 0.292 0.287 0.000 0.375 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

118 118 79 109 153 108 0 520 0

N.S.

1 1.00 0.67 0.92 1.30 0.92 0.00 4.41 0.00

time (sec)

N/A 0.396 0.183 0.404 0.258 0.283 0.000 0.317 0.000

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 50 43 65 40 0 137 0

N.S.

1 1.00 1.32 1.13 1.71 1.05 0.00 3.61 0.00

time (sec)

N/A 0.229 0.034 0.317 0.233 0.296 0.000 0.382 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

103 108 83 129 0 100 0 169 0

N.S.

1 1.05 0.81 1.25 0.00 0.97 0.00 1.64 0.00

time (sec)

N/A 0.448 0.157 0.468 0.000 0.264 0.000 0.295 0.000

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 96 85 131 0 129 0 339 0

N.S.

1 1.02 0.90 1.39 0.00 1.37 0.00 3.61 0.00

time (sec)

N/A 0.432 0.538 0.547 0.000 0.270 0.000 0.312 0.000

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

233 237 151 423 0 328 0 1501 0

N.S.

1 1.02 0.65 1.82 0.00 1.41 0.00 6.44 0.00

time (sec)

N/A 0.655 1.290 0.652 0.000 0.297 0.000 0.377 0.000

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

254 254 252 249 321 240 0 1125 0

N.S.

1 1.00 0.99 0.98 1.26 0.94 0.00 4.43 0.00

time (sec)

N/A 0.779 0.342 0.599 0.305 0.303 0.000 0.317 0.000

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 94 105 100 137 103 0 305 0

N.S.

1 1.00 1.12 1.06 1.46 1.10 0.00 3.24 0.00

time (sec)

N/A 0.444 0.094 0.424 0.250 0.267 0.000 0.385 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

255 266 195 302 0 217 0 362 0

N.S.

1 1.04 0.76 1.18 0.00 0.85 0.00 1.42 0.00

time (sec)

N/A 0.822 0.303 0.622 0.000 0.271 0.000 0.343 0.000

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

195 201 263 292 0 271 0 686 0

N.S.

1 1.03 1.35 1.50 0.00 1.39 0.00 3.52 0.00

time (sec)

N/A 0.653 1.003 0.675 0.000 0.315 0.000 0.306 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

470 482 740 866 0 710 0 3078 0

N.S.

1 1.03 1.57 1.84 0.00 1.51 0.00 6.55 0.00

time (sec)

N/A 1.184 2.341 0.962 0.000 0.331 0.000 0.587 0.000

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 24 35 0 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.59 0.00 1.09 1.09

time (sec)

N/A 0.199 0.833 0.247 2.614 0.275 0.000 1.219 6.304

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 20 22 24 0 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.20 0.00 1.10 1.10

time (sec)

N/A 0.190 0.407 0.232 0.615 0.260 0.000 1.125 6.077