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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 A A F(-2) F(-1) F F(-1) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

754 775 641 1324 0 0 0 0 0

N.S.

1 1.03 0.85 1.76 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.136 4.828 0.962 0.000 0.000 0.000 0.000 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

824 840 817 1781 0 0 0 2628 0

N.S.

1 1.02 0.99 2.16 0.00 0.00 0.00 3.19 0.00

time (sec)

N/A 1.972 11.634 1.051 0.000 0.000 0.000 0.665 0.000

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

833 846 983 2704 0 0 0 7155 0

N.S.

1 1.02 1.18 3.25 0.00 0.00 0.00 8.59 0.00

time (sec)

N/A 2.076 13.344 1.044 0.000 0.000 0.000 5.099 0.000

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1097 1146 1005 4359 0 0 0 0 0

N.S.

1 1.04 0.92 3.97 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.662 15.586 1.214 0.000 0.000 0.000 0.000 0.000

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1226 1291 1363 13372 0 0 0 0 0

N.S.

1 1.05 1.11 10.91 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.642 16.342 1.390 0.000 0.000 0.000 0.000 0.000

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

657 549 1222 20684 0 0 0 48343 0

N.S.

1 0.84 1.86 31.48 0.00 0.00 0.00 73.58 0.00

time (sec)

N/A 0.965 16.264 1.817 0.000 0.000 0.000 9.703 0.000

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1062 823 1636 31330 0 0 0 75375 0

N.S.

1 0.77 1.54 29.50 0.00 0.00 0.00 70.97 0.00

time (sec)

N/A 1.708 16.323 2.517 0.000 0.000 0.000 31.742 0.000

Problem 208

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

143 163 80 60 126 83 76 78 170

N.S.

1 1.14 0.56 0.42 0.88 0.58 0.53 0.55 1.19

time (sec)

N/A 0.383 0.422 0.700 0.270 0.337 0.478 0.283 14.570

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

118 133 75 55 109 78 70 73 153

N.S.

1 1.13 0.64 0.47 0.92 0.66 0.59 0.62 1.30

time (sec)

N/A 0.337 0.340 0.672 0.272 0.321 0.465 0.293 14.200

Problem 210

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

93 103 70 50 92 73 63 68 136

N.S.

1 1.11 0.75 0.54 0.99 0.78 0.68 0.73 1.46

time (sec)

N/A 0.270 0.264 0.672 0.276 0.271 0.492 0.287 13.873

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 107 104 70 96 115 0 126 0

N.S.

1 1.06 1.03 0.69 0.95 1.14 0.00 1.25 0.00

time (sec)

N/A 0.350 0.242 0.689 0.292 0.306 0.000 0.312 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 114 110 87 103 133 0 380 0

N.S.

1 1.06 1.02 0.81 0.95 1.23 0.00 3.52 0.00

time (sec)

N/A 0.340 0.419 0.657 0.271 0.350 0.000 0.486 0.000

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 121 111 87 114 149 0 251 0

N.S.

1 1.05 0.97 0.76 0.99 1.30 0.00 2.18 0.00

time (sec)

N/A 0.357 0.451 0.765 0.278 0.280 0.000 0.318 0.000

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 183 90 70 155 93 90 88 0

N.S.

1 1.16 0.57 0.44 0.98 0.59 0.57 0.56 0.00

time (sec)

N/A 0.445 0.646 0.789 0.281 0.268 0.580 0.272 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 161 85 65 138 88 82 83 0

N.S.

1 1.14 0.60 0.46 0.98 0.62 0.58 0.59 0.00

time (sec)

N/A 0.382 0.544 0.794 0.265 0.270 0.535 0.288 0.000

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 131 80 60 121 83 76 78 0

N.S.

1 1.13 0.69 0.52 1.04 0.72 0.66 0.67 0.00

time (sec)

N/A 0.305 0.402 0.761 0.269 0.272 0.553 0.282 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 135 114 80 125 125 0 136 0

N.S.

1 1.09 0.92 0.65 1.01 1.01 0.00 1.10 0.00

time (sec)

N/A 0.392 0.382 0.663 0.286 0.267 0.000 0.395 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 142 121 97 132 143 0 570 0

N.S.

1 1.08 0.92 0.74 1.01 1.09 0.00 4.35 0.00

time (sec)

N/A 0.388 0.450 0.743 0.280 0.262 0.000 0.502 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 153 121 97 143 159 0 261 0

N.S.

1 1.11 0.88 0.70 1.04 1.15 0.00 1.89 0.00

time (sec)

N/A 0.387 0.589 0.698 0.304 0.267 0.000 0.307 0.000

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

189 219 100 80 184 103 104 98 0

N.S.

1 1.16 0.53 0.42 0.97 0.54 0.55 0.52 0.00

time (sec)

N/A 0.445 0.838 0.681 0.296 0.257 0.750 0.284 0.000

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

164 189 95 75 167 98 97 93 0

N.S.

1 1.15 0.58 0.46 1.02 0.60 0.59 0.57 0.00

time (sec)

N/A 0.400 0.764 0.670 0.279 0.259 0.661 0.280 0.000

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 159 90 70 150 93 88 88 0

N.S.

1 1.14 0.65 0.50 1.08 0.67 0.63 0.63 0.00

time (sec)

N/A 0.326 0.638 0.680 0.280 0.248 0.658 0.271 0.000

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 163 124 90 154 135 0 146 0

N.S.

1 1.11 0.84 0.61 1.05 0.92 0.00 0.99 0.00

time (sec)

N/A 0.423 0.621 0.694 0.304 0.275 0.000 0.327 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 170 131 107 161 153 0 760 0

N.S.

1 1.10 0.85 0.69 1.05 0.99 0.00 4.94 0.00

time (sec)

N/A 0.429 0.657 0.776 0.285 0.273 0.000 0.571 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 177 131 107 172 169 0 271 0

N.S.

1 1.10 0.81 0.66 1.07 1.05 0.00 1.68 0.00

time (sec)

N/A 0.442 0.784 0.807 0.288 0.267 0.000 0.313 0.000

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

693 709 588 810 0 1435 1613 798 0

N.S.

1 1.02 0.85 1.17 0.00 2.07 2.33 1.15 0.00

time (sec)

N/A 1.638 2.670 1.232 0.000 0.495 1.276 0.312 0.000

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

420 432 341 437 0 861 910 442 0

N.S.

1 1.03 0.81 1.04 0.00 2.05 2.17 1.05 0.00

time (sec)

N/A 0.993 1.264 0.896 0.000 0.361 1.100 0.307 0.000

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 232 178 192 0 461 437 201 0

N.S.

1 1.04 0.80 0.86 0.00 2.07 1.96 0.90 0.00

time (sec)

N/A 0.463 0.630 0.764 0.000 0.409 0.973 0.362 0.000

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 121 98 86 0 227 226 93 0

N.S.

1 1.04 0.84 0.74 0.00 1.96 1.95 0.80 0.00

time (sec)

N/A 0.286 0.032 0.681 0.000 0.277 0.368 0.298 0.000

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 188 187 251 0 0 0 0 0

N.S.

1 1.05 1.04 1.40 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.461 0.685 0.773 0.000 0.000 0.000 0.000 0.000

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

241 277 236 485 0 0 0 0 0

N.S.

1 1.15 0.98 2.01 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.604 1.045 0.836 0.000 0.000 0.000 0.000 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

336 356 471 1013 0 2034 0 2279 0

N.S.

1 1.06 1.40 3.01 0.00 6.05 0.00 6.78 0.00

time (sec)

N/A 0.694 11.211 0.993 0.000 34.051 0.000 0.331 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

504 520 694 997 0 2937 0 1028 0

N.S.

1 1.03 1.38 1.98 0.00 5.83 0.00 2.04 0.00

time (sec)

N/A 1.151 4.716 1.285 0.000 7.715 0.000 0.300 0.000

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

289 302 390 548 0 1769 0 565 0

N.S.

1 1.04 1.35 1.90 0.00 6.12 0.00 1.96 0.00

time (sec)

N/A 0.605 2.452 0.959 0.000 5.980 0.000 0.295 0.000

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 199 194 311 0 905 0 263 0

N.S.

1 1.07 1.04 1.67 0.00 4.87 0.00 1.41 0.00

time (sec)

N/A 0.443 0.907 0.803 0.000 3.865 0.000 0.360 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 106 201 0 429 0 118 143

N.S.

1 1.00 0.95 1.81 0.00 3.86 0.00 1.06 1.29

time (sec)

N/A 0.263 0.145 0.708 0.000 0.474 0.000 0.349 13.602

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

225 225 235 547 0 1905 0 708 0

N.S.

1 1.00 1.04 2.43 0.00 8.47 0.00 3.15 0.00

time (sec)

N/A 0.470 1.020 0.764 0.000 9.787 0.000 0.306 0.000

Problem 238

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

421 419 518 1115 0 5098 0 0 0

N.S.

1 1.00 1.23 2.65 0.00 12.11 0.00 0.00 0.00

time (sec)

N/A 1.046 10.972 0.760 0.000 35.522 0.000 0.000 0.000

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

713 738 847 2268 0 10340 0 5562 0

N.S.

1 1.04 1.19 3.18 0.00 14.50 0.00 7.80 0.00

time (sec)

N/A 3.286 11.870 0.901 0.000 162.168 0.000 0.408 0.000

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 135 70 50 97 73 63 68 0

N.S.

1 1.12 0.58 0.42 0.81 0.61 0.52 0.57 0.00

time (sec)

N/A 0.351 0.341 0.698 0.276 0.280 0.519 0.274 0.000

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

95 105 65 45 80 68 56 63 0

N.S.

1 1.11 0.68 0.47 0.84 0.72 0.59 0.66 0.00

time (sec)

N/A 0.304 0.285 0.695 0.282 0.253 0.494 0.280 0.000

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 75 60 40 63 63 49 58 0

N.S.

1 1.07 0.86 0.57 0.90 0.90 0.70 0.83 0.00

time (sec)

N/A 0.247 0.211 0.671 0.277 0.259 0.521 0.295 0.000

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

78 83 93 60 67 105 0 116 0

N.S.

1 1.06 1.19 0.77 0.86 1.35 0.00 1.49 0.00

time (sec)

N/A 0.292 0.233 0.706 0.290 0.270 0.000 0.315 0.000

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 86 99 67 74 123 0 191 0

N.S.

1 1.04 1.19 0.81 0.89 1.48 0.00 2.30 0.00

time (sec)

N/A 0.297 0.290 0.674 0.282 0.285 0.000 0.424 0.000

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 94 77 68 82 96 0 204 0

N.S.

1 1.06 0.87 0.76 0.92 1.08 0.00 2.29 0.00

time (sec)

N/A 0.280 0.341 0.707 0.297 0.269 0.000 0.320 0.000

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

103 107 70 50 97 97 0 67 0

N.S.

1 1.04 0.68 0.49 0.94 0.94 0.00 0.65 0.00

time (sec)

N/A 0.373 0.479 0.694 0.276 0.262 0.000 0.291 0.000

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 84 65 45 80 92 0 62 0

N.S.

1 1.02 0.79 0.55 0.98 1.12 0.00 0.76 0.00

time (sec)

N/A 0.316 0.438 0.838 0.281 0.256 0.000 0.347 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

63 64 60 40 63 87 0 57 0

N.S.

1 1.02 0.95 0.63 1.00 1.38 0.00 0.90 0.00

time (sec)

N/A 0.239 0.357 0.810 0.305 0.278 0.000 0.292 0.000

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 70 51 64 96 0 91 0

N.S.

1 1.00 1.13 0.82 1.03 1.55 0.00 1.47 0.00

time (sec)

N/A 0.252 0.368 0.799 0.278 0.274 0.000 0.310 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 90 90 63 96 106 0 168 0

N.S.

1 1.03 1.03 0.72 1.10 1.22 0.00 1.93 0.00

time (sec)

N/A 0.285 0.407 0.732 0.281 0.270 0.000 0.303 0.000

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 116 87 68 145 126 0 223 0

N.S.

1 1.04 0.78 0.61 1.29 1.12 0.00 1.99 0.00

time (sec)

N/A 0.380 0.493 0.675 0.284 0.259 0.000 0.315 0.000

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 90 70 50 202 117 0 67 0

N.S.

1 1.05 0.81 0.58 2.35 1.36 0.00 0.78 0.00

time (sec)

N/A 0.327 0.651 0.672 0.294 0.259 0.000 0.303 0.000

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

68 71 65 45 185 112 0 62 0

N.S.

1 1.04 0.96 0.66 2.72 1.65 0.00 0.91 0.00

time (sec)

N/A 0.281 0.563 0.691 0.289 0.248 0.000 0.297 0.000

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 33 30 76 51 0 28 49

N.S.

1 1.00 0.70 0.64 1.62 1.09 0.00 0.60 1.04

time (sec)

N/A 0.213 0.405 0.728 0.212 0.260 0.000 0.280 13.336

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 90 80 80 93 126 0 101 0

N.S.

1 1.06 0.94 0.94 1.09 1.48 0.00 1.19 0.00

time (sec)

N/A 0.283 0.504 0.660 0.294 0.264 0.000 0.292 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 118 92 73 125 141 0 233 0

N.S.

1 1.07 0.84 0.66 1.14 1.28 0.00 2.12 0.00

time (sec)

N/A 0.363 0.579 0.701 0.282 0.267 0.000 0.318 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

135 146 105 78 174 156 0 233 0

N.S.

1 1.08 0.78 0.58 1.29 1.16 0.00 1.73 0.00

time (sec)

N/A 0.475 0.649 0.703 0.290 0.274 0.000 0.308 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

208 217 219 324 0 465 0 0 1089

N.S.

1 1.04 1.05 1.56 0.00 2.24 0.00 0.00 5.24

time (sec)

N/A 0.566 0.291 0.934 0.000 13.842 0.000 0.000 14.730

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

906 927 15669 1736 0 1023 0 0 0

N.S.

1 1.02 17.29 1.92 0.00 1.13 0.00 0.00 0.00

time (sec)

N/A 2.194 35.798 3.458 0.000 0.106 0.000 0.000 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

668 685 9965 1202 0 764 0 0 0

N.S.

1 1.03 14.92 1.80 0.00 1.14 0.00 0.00 0.00

time (sec)

N/A 1.214 35.384 2.446 0.000 0.105 0.000 0.000 0.000

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

749 774 1276 1215 0 814 0 0 0

N.S.

1 1.03 1.70 1.62 0.00 1.09 0.00 0.00 0.00

time (sec)

N/A 1.477 35.140 4.020 0.000 0.118 0.000 0.000 0.000

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

712 722 8456 1340 0 1385 0 0 0

N.S.

1 1.01 11.88 1.88 0.00 1.95 0.00 0.00 0.00

time (sec)

N/A 1.302 35.077 4.858 0.000 0.148 0.000 0.000 0.000

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

992 1013 12997 1766 0 2430 0 0 0

N.S.

1 1.02 13.10 1.78 0.00 2.45 0.00 0.00 0.00

time (sec)

N/A 1.899 35.861 3.215 0.000 0.308 0.000 0.000 0.000

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

1363 1413 19853 2484 0 4543 0 0 0

N.S.

1 1.04 14.57 1.82 0.00 3.33 0.00 0.00 0.00

time (sec)

N/A 3.274 36.637 4.214 0.000 0.779 0.000 0.000 0.000

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

1904 1966 29140 3498 0 7780 0 0 0

N.S.

1 1.03 15.30 1.84 0.00 4.09 0.00 0.00 0.00

time (sec)

N/A 4.553 38.306 4.813 0.000 2.280 0.000 0.000 0.000

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

724 740 1314 1261 0 761 0 0 0

N.S.

1 1.02 1.81 1.74 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 1.561 33.480 3.446 0.000 0.107 0.000 0.000 0.000

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

557 568 862 955 0 571 0 0 0

N.S.

1 1.02 1.55 1.71 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 1.038 31.143 2.562 0.000 0.099 0.000 0.000 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

471 476 980 823 0 451 0 0 0

N.S.

1 1.01 2.08 1.75 0.00 0.96 0.00 0.00 0.00

time (sec)

N/A 0.684 30.184 3.816 0.000 0.090 0.000 0.000 0.000

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

508 522 772 965 0 708 0 0 0

N.S.

1 1.03 1.52 1.90 0.00 1.39 0.00 0.00 0.00

time (sec)

N/A 0.804 26.426 4.171 0.000 0.107 0.000 0.000 0.000

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

684 697 1194 1248 0 1305 0 0 0

N.S.

1 1.02 1.75 1.82 0.00 1.91 0.00 0.00 0.00

time (sec)

N/A 1.328 31.720 3.611 0.000 0.154 0.000 0.000 0.000

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

944 986 1746 1757 0 2656 0 0 0

N.S.

1 1.04 1.85 1.86 0.00 2.81 0.00 0.00 0.00

time (sec)

N/A 2.018 34.764 4.391 0.000 0.402 0.000 0.000 0.000

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

510 503 0 0 0 0 0 0 0

N.S.

1 0.99 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.788 0.000 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 F F F F F F F(-1)

verified

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

size

496 492 0 0 0 0 0 0 0

N.S.

1 0.99 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.701 0.000 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 F F F F F(-1) F F(-1)

verified

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

size

590 589 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 0.883 0.000 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 A C A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 119 36 59 75 211 141 58

N.S.

1 1.00 2.90 0.88 1.44 1.83 5.15 3.44 1.41

time (sec)

N/A 0.207 0.277 0.496 0.307 0.260 3.225 0.293 13.562

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 46 34 39 66 83 280 181 78

N.S.

1 1.00 0.74 0.85 1.43 1.80 6.09 3.93 1.70

time (sec)

N/A 0.231 0.433 0.684 0.238 0.266 53.167 0.305 13.489

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 43 51 98 123 483 296 120

N.S.

1 1.00 0.75 0.89 1.72 2.16 8.47 5.19 2.11

time (sec)

N/A 0.291 0.744 0.658 0.234 0.263 58.819 0.304 13.572

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 167 2052 1779 1779 2281 2467 2026

N.S.

1 1.00 8.35 102.60 88.95 88.95 114.05 123.35 101.30

time (sec)

N/A 0.865 0.300 0.906 0.210 0.272 0.162 0.284 14.160

Problem 279

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

26 26 26 19 18 18 20 20 18

N.S.

1 1.00 1.00 0.73 0.69 0.69 0.77 0.77 0.69

time (sec)

N/A 0.187 0.008 0.518 0.203 0.252 0.045 0.281 0.052

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

346 370 282 314 0 701 700 321 0

N.S.

1 1.07 0.82 0.91 0.00 2.03 2.02 0.93 0.00

time (sec)

N/A 0.847 1.097 0.837 0.000 0.366 0.873 0.320 0.000

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

245 261 199 210 0 499 479 221 0

N.S.

1 1.07 0.81 0.86 0.00 2.04 1.96 0.90 0.00

time (sec)

N/A 0.569 0.708 0.755 0.000 0.304 0.840 0.329 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

177 190 139 134 0 341 347 144 0

N.S.

1 1.07 0.79 0.76 0.00 1.93 1.96 0.81 0.00

time (sec)

N/A 0.427 0.522 0.727 0.000 0.303 0.476 0.338 0.000

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 168 135 223 0 733 0 0 0

N.S.

1 1.08 0.87 1.44 0.00 4.73 0.00 0.00 0.00

time (sec)

N/A 0.511 0.638 0.717 0.000 2.076 0.000 0.000 0.000

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 152 146 156 0 703 0 170 166

N.S.

1 1.09 1.05 1.12 0.00 5.06 0.00 1.22 1.19

time (sec)

N/A 0.471 0.934 0.775 0.000 1.343 0.000 0.345 13.669

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 175 170 134 0 783 0 346 0

N.S.

1 1.10 1.07 0.84 0.00 4.92 0.00 2.18 0.00

time (sec)

N/A 0.517 1.131 0.746 0.000 1.745 0.000 0.346 0.000

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 201 178 150 0 365 0 680 0

N.S.

1 1.08 0.96 0.81 0.00 1.96 0.00 3.66 0.00

time (sec)

N/A 0.524 0.926 0.818 0.000 1.889 0.000 0.306 0.000

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 291 237 236 0 525 0 1433 0

N.S.

1 1.08 0.88 0.87 0.00 1.94 0.00 5.31 0.00

time (sec)

N/A 0.676 1.573 0.857 0.000 4.408 0.000 0.328 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

371 401 328 350 0 727 0 2155 0

N.S.

1 1.08 0.88 0.94 0.00 1.96 0.00 5.81 0.00

time (sec)

N/A 0.907 2.137 0.986 0.000 11.939 0.000 0.313 0.000

Problem 289

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

258 258 212 200 206 206 230 237 196

N.S.

1 1.00 0.82 0.78 0.80 0.80 0.89 0.92 0.76

time (sec)

N/A 0.572 0.027 0.475 0.200 0.244 0.040 0.275 0.127

Problem 290

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

157 157 136 139 145 145 158 160 137

N.S.

1 1.00 0.87 0.89 0.92 0.92 1.01 1.02 0.87

time (sec)

N/A 0.414 0.021 0.541 0.194 0.275 0.029 0.287 13.307

Problem 291

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

93 93 93 78 79 79 87 83 77

N.S.

1 1.00 1.00 0.84 0.85 0.85 0.94 0.89 0.83

time (sec)

N/A 0.327 0.009 0.072 0.191 0.245 0.024 0.265 0.049

Problem 292

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

42 42 42 35 34 34 37 34 34

N.S.

1 1.00 1.00 0.83 0.81 0.81 0.88 0.81 0.81

time (sec)

N/A 0.196 0.002 0.047 0.194 0.241 0.023 0.268 0.027

Problem 293

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

228 228 179 220 228 230 235 249 260

N.S.

1 1.00 0.79 0.96 1.00 1.01 1.03 1.09 1.14

time (sec)

N/A 0.428 0.038 0.576 0.196 0.241 0.244 0.302 0.065

Problem 294

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

228 228 223 232 234 319 238 325 363

N.S.

1 1.00 0.98 1.02 1.03 1.40 1.04 1.43 1.59

time (sec)

N/A 0.447 0.052 0.463 0.204 0.243 0.448 0.430 13.313

Problem 295

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

231 231 204 225 240 360 248 237 297

N.S.

1 1.00 0.88 0.97 1.04 1.56 1.07 1.03 1.29

time (sec)

N/A 0.445 0.039 0.461 0.207 0.248 0.854 0.353 0.095

Problem 296

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

391 391 277 254 263 263 298 305 251

N.S.

1 1.00 0.71 0.65 0.67 0.67 0.76 0.78 0.64

time (sec)

N/A 0.792 0.026 0.546 0.195 0.236 0.045 0.271 13.410

Problem 297

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

201 201 201 177 185 185 206 206 175

N.S.

1 1.00 1.00 0.88 0.92 0.92 1.02 1.02 0.87

time (sec)

N/A 0.495 0.022 0.559 0.194 0.251 0.036 0.265 0.132

Problem 298

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

121 121 121 100 105 105 112 107 101

N.S.

1 1.00 1.00 0.83 0.87 0.87 0.93 0.88 0.83

time (sec)

N/A 0.403 0.012 0.526 0.194 0.235 0.030 0.277 0.092

Problem 299

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

60 60 60 45 44 44 56 44 44

N.S.

1 1.00 1.00 0.75 0.73 0.73 0.93 0.73 0.73

time (sec)

N/A 0.216 0.001 0.529 0.197 0.229 0.024 0.267 0.036

Problem 300

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

352 352 262 354 366 368 372 416 434

N.S.

1 1.00 0.74 1.01 1.04 1.05 1.06 1.18 1.23

time (sec)

N/A 0.601 0.079 0.556 0.189 0.234 0.360 0.264 0.082

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