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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

135 150 155 182 347 204 269 0 0

N.S.

1 1.11 1.15 1.35 2.57 1.51 1.99 0.00 0.00

time (sec)

N/A 0.639 0.206 0.085 0.222 0.275 0.432 0.000 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 137 135 166 230 178 224 0 0

N.S.

1 1.10 1.08 1.33 1.84 1.42 1.79 0.00 0.00

time (sec)

N/A 0.571 0.108 0.067 0.212 0.275 0.235 0.000 0.000

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

166 228 226 415 0 0 0 0 0

N.S.

1 1.37 1.36 2.50 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.390 0.292 0.171 0.000 0.000 0.000 0.000 0.000

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 167 192 239 0 0 0 0 0

N.S.

1 1.27 1.47 1.82 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.166 0.316 0.120 0.000 0.000 0.000 0.000 0.000

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

180 227 241 404 0 0 0 0 0

N.S.

1 1.26 1.34 2.24 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.651 0.226 0.195 0.000 0.000 0.000 0.000 0.000

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 208 245 240 0 0 0 0 0

N.S.

1 1.32 1.55 1.52 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.163 0.609 0.171 0.000 0.000 0.000 0.000 0.000

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

386 506 251 427 760 368 563 0 0

N.S.

1 1.31 0.65 1.11 1.97 0.95 1.46 0.00 0.00

time (sec)

N/A 2.439 0.269 0.299 0.225 0.291 1.676 0.000 0.000

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

296 583 237 343 762 348 515 0 0

N.S.

1 1.97 0.80 1.16 2.57 1.18 1.74 0.00 0.00

time (sec)

N/A 2.443 0.240 0.217 0.251 0.280 1.320 0.000 0.000

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

303 380 227 345 619 327 483 0 0

N.S.

1 1.25 0.75 1.14 2.04 1.08 1.59 0.00 0.00

time (sec)

N/A 1.878 1.131 0.237 0.221 0.290 0.982 0.000 0.000

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 204 208 247 621 307 430 0 0

N.S.

1 1.00 1.02 1.21 3.04 1.50 2.11 0.00 0.00

time (sec)

N/A 0.826 1.155 0.250 0.242 0.296 0.788 0.000 0.000

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

214 239 191 264 457 278 389 0 0

N.S.

1 1.12 0.89 1.23 2.14 1.30 1.82 0.00 0.00

time (sec)

N/A 0.918 0.926 0.202 0.234 0.285 0.461 0.000 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

257 378 326 573 0 0 0 0 0

N.S.

1 1.47 1.27 2.23 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.492 0.411 0.310 0.000 0.000 0.000 0.000 0.000

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

229 302 306 364 0 0 0 0 0

N.S.

1 1.32 1.34 1.59 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.079 0.878 0.243 0.000 0.000 0.000 0.000 0.000

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

272 375 329 584 0 0 0 0 0

N.S.

1 1.38 1.21 2.15 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.611 0.754 0.277 0.000 0.000 0.000 0.000 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

248 348 357 363 0 0 0 0 0

N.S.

1 1.40 1.44 1.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.162 0.662 0.257 0.000 0.000 0.000 0.000 0.000

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

465 692 299 519 1109 444 702 0 0

N.S.

1 1.49 0.64 1.12 2.38 0.95 1.51 0.00 0.00

time (sec)

N/A 3.823 0.284 0.306 0.231 0.284 3.485 0.000 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

376 899 285 414 1112 424 654 0 0

N.S.

1 2.39 0.76 1.10 2.96 1.13 1.74 0.00 0.00

time (sec)

N/A 3.902 0.280 0.295 0.275 0.269 2.552 0.000 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

382 526 275 437 922 403 626 0 0

N.S.

1 1.38 0.72 1.14 2.41 1.05 1.64 0.00 0.00

time (sec)

N/A 2.897 1.295 0.234 0.249 0.264 1.809 0.000 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

261 254 256 306 925 383 573 0 0

N.S.

1 0.97 0.98 1.17 3.54 1.47 2.20 0.00 0.00

time (sec)

N/A 1.064 1.376 0.220 0.247 0.264 1.392 0.000 0.000

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

291 342 239 354 712 354 524 0 0

N.S.

1 1.18 0.82 1.22 2.45 1.22 1.80 0.00 0.00

time (sec)

N/A 1.323 1.227 0.234 0.220 0.298 0.897 0.000 0.000

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

337 570 419 687 0 0 0 0 0

N.S.

1 1.69 1.24 2.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 4.094 0.693 0.330 0.000 0.000 0.000 0.000 0.000

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 451 466 463 0 0 0 0 0

N.S.

1 1.47 1.52 1.51 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.171 1.074 0.281 0.000 0.000 0.000 0.000 0.000

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

354 0 496 772 0 0 0 0 0

N.S.

1 0.00 1.40 2.18 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.621 0.335 0.000 0.000 0.000 0.000 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

326 529 461 468 0 0 0 0 0

N.S.

1 1.62 1.41 1.44 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.435 0.792 0.257 0.000 0.000 0.000 0.000 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

277 290 365 0 0 0 0 0 0

N.S.

1 1.05 1.32 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.910 0.828 0.000 0.000 0.000 0.000 0.000 0.000

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

199 199 294 343 0 0 0 0 0

N.S.

1 1.00 1.48 1.72 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.567 0.346 0.283 0.000 0.000 0.000 0.000 0.000

Problem 227

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

198 173 317 0 0 0 0 0 0

N.S.

1 0.87 1.60 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.139 0.454 0.000 0.000 0.000 0.000 0.000 0.000

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 105 281 180 0 0 0 0 0

N.S.

1 1.00 2.68 1.71 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.571 0.210 0.210 0.000 0.000 0.000 0.000 0.000

Problem 229

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

138 111 274 0 0 0 0 0 0

N.S.

1 0.80 1.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.491 0.184 0.000 0.000 0.000 0.000 0.000 0.000

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 121 400 392 0 0 0 0 0

N.S.

1 1.04 3.45 3.38 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.606 0.276 0.244 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 F F F F F F(-1)

verified

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

size

204 186 363 0 0 0 0 0 0

N.S.

1 0.91 1.78 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.490 0.803 0.000 0.000 0.000 0.000 0.000 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

194 183 411 540 0 0 0 0 0

N.S.

1 0.94 2.12 2.78 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.440 1.043 0.273 0.000 0.000 0.000 0.000 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

297 310 602 0 0 0 0 0 0

N.S.

1 1.04 2.03 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.497 7.325 0.000 0.000 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 F F F F(-2) F(-1)

verified

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

size

279 284 482 0 0 0 0 0 0

N.S.

1 1.02 1.73 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.880 1.542 0.000 0.000 0.000 0.000 0.000 0.000

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

213 214 320 320 0 0 0 0 0

N.S.

1 1.00 1.50 1.50 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.648 0.741 0.257 0.000 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 F F F F F(-1)

verified

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

size

213 191 385 0 0 0 0 0 0

N.S.

1 0.90 1.81 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.187 1.470 0.000 0.000 0.000 0.000 0.000 0.000

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 82 145 147 0 185 0 0 0

N.S.

1 0.96 1.71 1.73 0.00 2.18 0.00 0.00 0.00

time (sec)

N/A 0.365 0.454 0.219 0.000 0.269 0.000 0.000 0.000

Problem 238

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

210 187 403 0 0 0 0 0 0

N.S.

1 0.89 1.92 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.157 1.307 0.000 0.000 0.000 0.000 0.000 0.000

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 199 428 532 0 0 0 0 0

N.S.

1 1.03 2.22 2.76 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.120 1.652 0.263 0.000 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 F F F F F(-1)

verified

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

size

287 305 549 0 0 0 0 0 0

N.S.

1 1.06 1.91 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.827 7.056 0.000 0.000 0.000 0.000 0.000 0.000

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

253 311 506 586 0 0 0 0 0

N.S.

1 1.23 2.00 2.32 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.921 1.543 0.295 0.000 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 F F F F F(-1)

verified

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

size

401 484 764 0 0 0 0 0 0

N.S.

1 1.21 1.91 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 4.391 8.041 0.000 0.000 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 F F F F F(-1)

verified

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

size

320 329 552 0 0 0 0 0 0

N.S.

1 1.03 1.72 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.054 2.354 0.000 0.000 0.000 0.000 0.000 0.000

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

167 181 186 272 0 283 0 0 0

N.S.

1 1.08 1.11 1.63 0.00 1.69 0.00 0.00 0.00

time (sec)

N/A 0.878 0.323 0.268 0.000 0.278 0.000 0.000 0.000

Problem 245

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

318 297 550 0 0 0 0 0 0

N.S.

1 0.93 1.73 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.888 2.030 0.000 0.000 0.000 0.000 0.000 0.000

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 135 152 227 0 273 0 0 0

N.S.

1 0.93 1.05 1.57 0.00 1.88 0.00 0.00 0.00

time (sec)

N/A 0.503 0.466 0.232 0.000 0.272 0.000 0.000 0.000

Problem 247

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

309 289 546 0 0 0 0 0 0

N.S.

1 0.94 1.77 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.783 2.415 0.000 0.000 0.000 0.000 0.000 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

275 324 560 676 0 0 0 0 0

N.S.

1 1.18 2.04 2.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.026 3.163 0.311 0.000 0.000 0.000 0.000 0.000

Problem 249

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

389 466 716 0 0 0 0 0 0

N.S.

1 1.20 1.84 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 4.187 7.508 0.000 0.000 0.000 0.000 0.000 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

381 482 701 832 0 0 0 0 0

N.S.

1 1.27 1.84 2.18 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.447 7.930 0.358 0.000 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 F F F F F(-1)

verified

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

size

529 727 937 0 0 0 0 0 0

N.S.

1 1.37 1.77 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 6.154 8.997 0.000 0.000 0.000 0.000 0.000 0.000

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

300 410 284 397 0 0 583 0 0

N.S.

1 1.37 0.95 1.32 0.00 0.00 1.94 0.00 0.00

time (sec)

N/A 1.426 1.871 0.197 0.000 0.000 28.503 0.000 0.000

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

210 253 202 289 0 0 405 0 0

N.S.

1 1.20 0.96 1.38 0.00 0.00 1.93 0.00 0.00

time (sec)

N/A 0.951 0.999 0.185 0.000 0.000 2.912 0.000 0.000

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

122 119 124 179 0 0 0 0 0

N.S.

1 0.98 1.02 1.47 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.497 0.505 0.198 0.000 0.000 0.000 0.000 0.000

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 25 25 72 47 0 90 0 0

N.S.

1 1.00 1.00 2.88 1.88 0.00 3.60 0.00 0.00

time (sec)

N/A 0.228 0.021 0.207 0.219 0.000 0.896 0.000 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 108 153 243 0 0 0 0 0

N.S.

1 1.04 1.47 2.34 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.568 0.604 0.259 0.000 0.000 0.000 0.000 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 208 293 1729 0 0 0 0 0

N.S.

1 1.02 1.44 8.48 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.203 0.798 0.256 0.000 0.000 0.000 0.000 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

358 351 222 1162 302 316 0 0 0

N.S.

1 0.98 0.62 3.25 0.84 0.88 0.00 0.00 0.00

time (sec)

N/A 1.508 0.259 0.377 0.226 0.272 0.000 0.000 0.000

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

291 295 207 618 0 0 0 0 0

N.S.

1 1.01 0.71 2.12 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.274 1.301 0.273 0.000 0.000 0.000 0.000 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

180 144 166 657 183 249 0 0 0

N.S.

1 0.80 0.92 3.65 1.02 1.38 0.00 0.00 0.00

time (sec)

N/A 0.463 0.449 0.261 0.217 0.271 0.000 0.000 0.000

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 163 200 480 0 0 0 0 0

N.S.

1 0.89 1.09 2.61 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.579 1.019 0.218 0.000 0.000 0.000 0.000 0.000

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

338 212 352 764 0 0 0 0 0

N.S.

1 0.63 1.04 2.26 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.038 0.977 0.323 0.000 0.000 0.000 0.000 0.000

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

209 192 232 579 0 0 0 0 0

N.S.

1 0.92 1.11 2.77 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.171 1.243 0.286 0.000 0.000 0.000 0.000 0.000

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

358 224 446 755 0 0 0 0 0

N.S.

1 0.63 1.25 2.11 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.291 3.786 0.349 0.000 0.000 0.000 0.000 0.000

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

294 219 240 1729 0 0 0 0 0

N.S.

1 0.74 0.82 5.88 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.010 0.681 0.335 0.000 0.000 0.000 0.000 0.000

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

482 541 251 1766 346 402 0 0 0

N.S.

1 1.12 0.52 3.66 0.72 0.83 0.00 0.00 0.00

time (sec)

N/A 2.657 0.370 0.388 0.230 0.268 0.000 0.000 0.000

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

405 495 508 1552 0 0 0 0 0

N.S.

1 1.22 1.25 3.83 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.308 2.111 0.361 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 B A A F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

267 183 198 1149 230 332 0 0 0

N.S.

1 0.69 0.74 4.30 0.86 1.24 0.00 0.00 0.00

time (sec)

N/A 0.568 1.239 0.374 0.227 0.274 0.000 0.000 0.000

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

294 320 329 959 0 0 0 0 0

N.S.

1 1.09 1.12 3.26 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.066 2.341 0.262 0.000 0.000 0.000 0.000 0.000

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

498 351 520 1053 0 0 0 0 0

N.S.

1 0.70 1.04 2.11 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.891 1.782 0.352 0.000 0.000 0.000 0.000 0.000

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

398 381 369 473 0 0 0 0 0

N.S.

1 0.96 0.93 1.19 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.949 3.497 0.309 0.000 0.000 0.000 0.000 0.000

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

541 348 771 933 0 0 0 0 0

N.S.

1 0.64 1.43 1.72 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.966 7.791 0.369 0.000 0.000 0.000 0.000 0.000

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

378 414 458 1929 0 0 0 0 0

N.S.

1 1.10 1.21 5.10 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.580 1.322 0.368 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 B A A F(-1) F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

625 771 277 2014 390 525 0 0 0

N.S.

1 1.23 0.44 3.22 0.62 0.84 0.00 0.00 0.00

time (sec)

N/A 4.224 0.448 0.401 0.223 0.278 0.000 0.000 0.000

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

536 743 619 2280 0 0 0 0 0

N.S.

1 1.39 1.15 4.25 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.734 2.836 0.404 0.000 0.000 0.000 0.000 0.000

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

366 220 224 1773 274 446 0 0 0

N.S.

1 0.60 0.61 4.84 0.75 1.22 0.00 0.00 0.00

time (sec)

N/A 0.702 1.393 0.370 0.228 0.276 0.000 0.000 0.000

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

420 502 499 1568 0 0 0 0 0

N.S.

1 1.20 1.19 3.73 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.689 2.296 0.303 0.000 0.000 0.000 0.000 0.000

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

635 530 757 1321 0 0 0 0 0

N.S.

1 0.83 1.19 2.08 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.227 3.560 0.323 0.000 0.000 0.000 0.000 0.000

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

530 622 550 589 0 0 0 0 0

N.S.

1 1.17 1.04 1.11 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.475 2.788 0.345 0.000 0.000 0.000 0.000 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

687 526 990 720 0 0 0 0 0

N.S.

1 0.77 1.44 1.05 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.355 8.037 0.331 0.000 0.000 0.000 0.000 0.000

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

561 0 616 2297 0 0 0 0 0

N.S.

1 0.00 1.10 4.09 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 2.220 0.385 0.000 0.000 0.000 0.000 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 221 98 125 0 131 146 0 0

N.S.

1 1.44 0.64 0.82 0.00 0.86 0.95 0.00 0.00

time (sec)

N/A 1.025 0.055 0.216 0.000 0.279 0.592 0.000 0.000

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

122 154 79 113 101 98 121 0 0

N.S.

1 1.26 0.65 0.93 0.83 0.80 0.99 0.00 0.00

time (sec)

N/A 0.737 0.043 0.266 0.218 0.265 0.462 0.000 0.000

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 96 72 69 0 102 78 0 0

N.S.

1 1.10 0.83 0.79 0.00 1.17 0.90 0.00 0.00

time (sec)

N/A 0.507 0.035 0.188 0.000 0.248 0.391 0.000 0.000

Problem 285

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

52 54 48 64 48 70 49 74 0

N.S.

1 1.04 0.92 1.23 0.92 1.35 0.94 1.42 0.00

time (sec)

N/A 0.300 0.027 0.276 0.196 0.248 0.333 0.298 0.000

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 13 12 11 23 10 0 11

N.S.

1 1.00 1.00 0.92 0.85 1.77 0.77 0.00 0.85

time (sec)

N/A 0.197 0.007 0.202 0.189 0.275 0.234 0.000 3.065

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

68 80 100 144 0 0 0 0 0

N.S.

1 1.18 1.47 2.12 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.487 0.117 0.276 0.000 0.000 0.000 0.000 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 83 65 132 0 0 0 0 0

N.S.

1 1.26 0.98 2.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.536 0.264 0.190 0.000 0.000 0.000 0.000 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

135 141 188 233 0 0 0 0 0

N.S.

1 1.04 1.39 1.73 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.950 0.919 0.302 0.000 0.000 0.000 0.000 0.000

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

383 397 230 1227 353 319 0 0 0

N.S.

1 1.04 0.60 3.20 0.92 0.83 0.00 0.00 0.00

time (sec)

N/A 1.642 0.308 0.331 0.213 0.275 0.000 0.000 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

323 337 268 992 0 0 0 0 0

N.S.

1 1.04 0.83 3.07 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.423 1.047 0.256 0.000 0.000 0.000 0.000 0.000

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

265 236 176 706 243 254 0 0 0

N.S.

1 0.89 0.66 2.66 0.92 0.96 0.00 0.00 0.00

time (sec)

N/A 0.907 0.295 0.291 0.215 0.292 0.000 0.000 0.000

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 171 198 506 0 0 0 0 0

N.S.

1 0.84 0.97 2.48 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.651 1.197 0.230 0.000 0.000 0.000 0.000 0.000

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 95 127 296 125 179 0 0 0

N.S.

1 0.69 0.92 2.14 0.91 1.30 0.00 0.00 0.00

time (sec)

N/A 0.337 0.571 0.236 0.202 0.275 0.000 0.000 0.000

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 115 120 47 0 0 0 0

N.S.

1 1.00 2.45 2.55 1.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.236 0.146 0.211 0.202 0.000 0.000 0.000 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 125 266 546 0 0 0 0 0

N.S.

1 0.56 1.19 2.45 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.631 0.762 0.281 0.000 0.000 0.000 0.000 0.000

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

167 150 168 478 0 0 0 0 0

N.S.

1 0.90 1.01 2.86 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.744 0.687 0.263 0.000 0.000 0.000 0.000 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

360 227 455 780 0 0 0 0 0

N.S.

1 0.63 1.26 2.17 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.369 3.807 0.307 0.000 0.000 0.000 0.000 0.000

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

299 263 278 1506 0 0 0 0 0

N.S.

1 0.88 0.93 5.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.412 0.611 0.309 0.000 0.000 0.000 0.000 0.000

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

515 477 427 520 0 0 0 0 0

N.S.

1 0.93 0.83 1.01 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.826 0.810 0.325 0.000 0.000 0.000 0.000 0.000