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2.2.4 Integrals 301 to 361

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 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

15 15 17 15 17 17 14 17 17

N.S.

1 1.00 1.13 1.00 1.13 1.13 0.93 1.13 1.13

time (sec)

N/A 0.292 10.329 0.092 0.962 0.251 1.847 0.781 4.543

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

152 195 145 1693 146 424 0 0 0

N.S.

1 1.28 0.95 11.14 0.96 2.79 0.00 0.00 0.00

time (sec)

N/A 1.013 0.141 1.405 0.716 0.266 0.000 0.000 0.000

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

126 162 120 1636 123 360 0 0 0

N.S.

1 1.29 0.95 12.98 0.98 2.86 0.00 0.00 0.00

time (sec)

N/A 0.826 0.092 1.178 0.732 0.259 0.000 0.000 0.000

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

100 128 90 1555 100 306 0 0 0

N.S.

1 1.28 0.90 15.55 1.00 3.06 0.00 0.00 0.00

time (sec)

N/A 0.655 0.087 0.925 0.762 0.268 0.000 0.000 0.000

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 89 63 255 72 227 0 0 0

N.S.

1 1.29 0.91 3.70 1.04 3.29 0.00 0.00 0.00

time (sec)

N/A 0.451 0.728 0.936 0.723 0.258 0.000 0.000 0.000

Problem 306

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 0.242 3.788 0.094 0.916 0.255 1.603 0.359 4.404

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

165 214 151 1753 149 451 0 0 0

N.S.

1 1.30 0.92 10.62 0.90 2.73 0.00 0.00 0.00

time (sec)

N/A 1.088 0.151 1.457 0.796 0.269 0.000 0.000 0.000

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

137 179 125 1694 125 382 0 0 0

N.S.

1 1.31 0.91 12.36 0.91 2.79 0.00 0.00 0.00

time (sec)

N/A 0.869 0.093 1.201 0.737 0.260 0.000 0.000 0.000

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

109 143 94 1611 101 323 0 0 0

N.S.

1 1.31 0.86 14.78 0.93 2.96 0.00 0.00 0.00

time (sec)

N/A 0.683 0.094 0.967 0.727 0.261 0.000 0.000 0.000

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 102 66 272 73 240 0 0 0

N.S.

1 1.34 0.87 3.58 0.96 3.16 0.00 0.00 0.00

time (sec)

N/A 0.483 0.685 0.914 0.742 0.251 0.000 0.000 0.000

Problem 311

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

19 19 21 17 20 19 17 19 19

N.S.

1 1.00 1.11 0.89 1.05 1.00 0.89 1.00 1.00

time (sec)

N/A 0.252 3.902 0.074 0.913 0.256 1.630 0.379 4.322

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

302 355 654 3640 0 1809 0 0 0

N.S.

1 1.18 2.17 12.05 0.00 5.99 0.00 0.00 0.00

time (sec)

N/A 1.177 1.059 13.451 0.000 0.330 0.000 0.000 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

234 271 409 2719 0 1283 0 0 0

N.S.

1 1.16 1.75 11.62 0.00 5.48 0.00 0.00 0.00

time (sec)

N/A 0.886 0.552 10.254 0.000 0.302 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

162 182 295 1818 0 835 0 0 0

N.S.

1 1.12 1.82 11.22 0.00 5.15 0.00 0.00 0.00

time (sec)

N/A 0.608 0.396 1.081 0.000 0.294 0.000 0.000 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 86 127 169 182 499 0 0 0

N.S.

1 1.09 1.61 2.14 2.30 6.32 0.00 0.00 0.00

time (sec)

N/A 0.361 0.031 0.750 0.331 0.277 0.000 0.000 0.000

Problem 316

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

15 15 17 15 17 17 14 17 17

N.S.

1 1.00 1.13 1.00 1.13 1.13 0.93 1.13 1.13

time (sec)

N/A 0.211 7.540 0.096 1.516 0.254 0.511 0.996 4.836

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

395 522 349 6921 0 2165 0 0 0

N.S.

1 1.32 0.88 17.52 0.00 5.48 0.00 0.00 0.00

time (sec)

N/A 1.549 3.611 21.303 0.000 0.336 0.000 0.000 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

295 402 259 6547 0 1689 0 0 0

N.S.

1 1.36 0.88 22.19 0.00 5.73 0.00 0.00 0.00

time (sec)

N/A 1.095 2.861 2.595 0.000 0.354 0.000 0.000 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

194 287 365 557 372 1185 0 0 0

N.S.

1 1.48 1.88 2.87 1.92 6.11 0.00 0.00 0.00

time (sec)

N/A 0.692 4.008 1.975 0.347 0.318 0.000 0.000 0.000

Problem 320

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

15 15 17 15 17 17 14 17 17

N.S.

1 1.00 1.13 1.00 1.13 1.13 0.93 1.13 1.13

time (sec)

N/A 0.306 2.158 0.073 3.417 0.264 0.673 1.544 5.517

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

170 218 155 2277 343 345 0 0 0

N.S.

1 1.28 0.91 13.39 2.02 2.03 0.00 0.00 0.00

time (sec)

N/A 0.902 0.262 1.737 0.244 0.267 0.000 0.000 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

133 171 119 2187 248 293 0 0 0

N.S.

1 1.29 0.89 16.44 1.86 2.20 0.00 0.00 0.00

time (sec)

N/A 0.697 0.167 1.138 0.239 0.281 0.000 0.000 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

93 123 766 307 260 218 0 0 0

N.S.

1 1.32 8.24 3.30 2.80 2.34 0.00 0.00 0.00

time (sec)

N/A 0.487 8.086 1.246 0.290 0.271 0.000 0.000 0.000

Problem 324

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 18 144 37 17 20 21

N.S.

1 1.00 1.10 0.90 7.20 1.85 0.85 1.00 1.05

time (sec)

N/A 0.263 0.883 0.087 4.152 0.250 0.701 0.806 5.113

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

171 223 156 2387 342 345 0 0 0

N.S.

1 1.30 0.91 13.96 2.00 2.02 0.00 0.00 0.00

time (sec)

N/A 0.923 0.245 1.590 0.238 0.273 0.000 0.000 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

134 176 120 2289 247 293 0 0 0

N.S.

1 1.31 0.90 17.08 1.84 2.19 0.00 0.00 0.00

time (sec)

N/A 0.714 0.158 1.123 0.258 0.266 0.000 0.000 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

94 128 723 332 262 219 0 0 0

N.S.

1 1.36 7.69 3.53 2.79 2.33 0.00 0.00 0.00

time (sec)

N/A 0.482 5.131 1.272 0.295 0.275 0.000 0.000 0.000

Problem 328

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

21 21 23 19 143 37 17 21 22

N.S.

1 1.00 1.10 0.90 6.81 1.76 0.81 1.00 1.05

time (sec)

N/A 0.263 0.805 0.092 4.266 0.264 0.760 0.812 4.723

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

302 355 654 3640 0 1567 0 0 0

N.S.

1 1.18 2.17 12.05 0.00 5.19 0.00 0.00 0.00

time (sec)

N/A 1.183 0.196 13.998 0.000 0.351 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

234 271 409 2719 0 1085 0 0 0

N.S.

1 1.16 1.75 11.62 0.00 4.64 0.00 0.00 0.00

time (sec)

N/A 0.853 0.115 10.208 0.000 0.338 0.000 0.000 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

162 182 295 1819 0 681 0 0 0

N.S.

1 1.12 1.82 11.23 0.00 4.20 0.00 0.00 0.00

time (sec)

N/A 0.605 0.202 1.115 0.000 0.311 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 86 127 145 184 389 0 0 0

N.S.

1 1.09 1.61 1.84 2.33 4.92 0.00 0.00 0.00

time (sec)

N/A 0.350 0.019 0.754 0.333 0.282 0.000 0.000 0.000

Problem 333

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

15 15 17 15 17 17 14 17 17

N.S.

1 1.00 1.13 1.00 1.13 1.13 0.93 1.13 1.13

time (sec)

N/A 0.218 0.087 0.107 1.619 0.252 0.654 0.434 5.019

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

391 514 341 6693 0 1799 0 0 0

N.S.

1 1.31 0.87 17.12 0.00 4.60 0.00 0.00 0.00

time (sec)

N/A 1.523 3.514 24.297 0.000 0.457 0.000 0.000 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

293 394 255 6343 0 1463 0 0 0

N.S.

1 1.34 0.87 21.65 0.00 4.99 0.00 0.00 0.00

time (sec)

N/A 1.128 2.823 3.452 0.000 0.410 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

194 283 390 563 392 1099 0 0 0

N.S.

1 1.46 2.01 2.90 2.02 5.66 0.00 0.00 0.00

time (sec)

N/A 0.691 3.949 2.409 0.374 0.382 0.000 0.000 0.000

Problem 337

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

15 15 17 15 17 17 14 17 17

N.S.

1 1.00 1.13 1.00 1.13 1.13 0.93 1.13 1.13

time (sec)

N/A 0.298 1.990 0.165 3.387 0.249 0.959 0.696 5.562

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

168 219 155 2387 344 180 0 0 0

N.S.

1 1.30 0.92 14.21 2.05 1.07 0.00 0.00 0.00

time (sec)

N/A 0.908 0.280 2.031 0.225 0.273 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

132 172 119 2289 249 157 0 0 0

N.S.

1 1.30 0.90 17.34 1.89 1.19 0.00 0.00 0.00

time (sec)

N/A 0.739 0.183 1.421 0.205 0.250 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

93 126 709 307 288 122 0 0 0

N.S.

1 1.35 7.62 3.30 3.10 1.31 0.00 0.00 0.00

time (sec)

N/A 0.492 10.662 1.496 0.280 0.270 0.000 0.000 0.000

Problem 341

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 18 143 37 17 20 21

N.S.

1 1.00 1.10 0.90 7.15 1.85 0.85 1.00 1.05

time (sec)

N/A 0.260 0.837 0.135 4.752 0.251 1.002 0.469 4.939

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

169 216 155 2277 345 180 0 0 0

N.S.

1 1.28 0.92 13.47 2.04 1.07 0.00 0.00 0.00

time (sec)

N/A 0.917 0.252 1.796 0.231 0.270 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

133 169 119 2187 250 157 0 0 0

N.S.

1 1.27 0.89 16.44 1.88 1.18 0.00 0.00 0.00

time (sec)

N/A 0.704 0.190 1.271 0.217 0.252 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

94 123 605 332 286 122 0 0 0

N.S.

1 1.31 6.44 3.53 3.04 1.30 0.00 0.00 0.00

time (sec)

N/A 0.484 9.496 1.431 0.282 0.258 0.000 0.000 0.000

Problem 345

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

21 21 23 19 144 37 19 21 22

N.S.

1 1.00 1.10 0.90 6.86 1.76 0.90 1.00 1.05

time (sec)

N/A 0.263 0.842 0.131 5.077 0.254 1.025 0.451 4.554

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 21 51 18 58 65 0 0 0

N.S.

1 1.00 2.43 0.86 2.76 3.10 0.00 0.00 0.00

time (sec)

N/A 0.198 0.080 0.066 0.187 0.253 0.000 0.000 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 42 71 32 59 95 0 0 0

N.S.

1 0.98 1.65 0.74 1.37 2.21 0.00 0.00 0.00

time (sec)

N/A 0.341 0.018 0.061 0.202 0.243 0.000 0.000 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 70 93 49 76 120 0 0 0

N.S.

1 1.21 1.60 0.84 1.31 2.07 0.00 0.00 0.00

time (sec)

N/A 0.460 0.019 0.076 0.195 0.251 0.000 0.000 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 33 68 32 107 138 0 0 0

N.S.

1 0.94 1.94 0.91 3.06 3.94 0.00 0.00 0.00

time (sec)

N/A 0.209 0.016 0.138 0.231 0.255 0.000 0.000 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 113 155 108 199 0 0 0

N.S.

1 1.00 1.59 2.18 1.52 2.80 0.00 0.00 0.00

time (sec)

N/A 0.383 0.038 0.148 0.198 0.248 0.000 0.000 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 118 149 197 142 248 0 0 0

N.S.

1 1.17 1.48 1.95 1.41 2.46 0.00 0.00 0.00

time (sec)

N/A 0.548 0.031 0.194 0.199 0.268 0.000 0.000 0.000

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 149 108 160 202 284 0 0 0

N.S.

1 0.89 0.64 0.95 1.20 1.69 0.00 0.00 0.00

time (sec)

N/A 0.528 0.495 0.674 0.205 0.257 0.000 0.000 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

211 211 177 596 194 396 0 0 0

N.S.

1 1.00 0.84 2.82 0.92 1.88 0.00 0.00 0.00

time (sec)

N/A 0.686 0.079 0.690 0.226 0.258 0.000 0.000 0.000

Problem 354

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

264 289 235 672 254 480 0 0 0

N.S.

1 1.09 0.89 2.55 0.96 1.82 0.00 0.00 0.00

time (sec)

N/A 0.994 0.054 1.142 0.225 0.269 0.000 0.000 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F A B

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

107 91 153 868 184 234 0 157 179

N.S.

1 0.85 1.43 8.11 1.72 2.19 0.00 1.47 1.67

time (sec)

N/A 0.491 0.096 3.449 0.285 0.255 0.000 0.445 4.543

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F B B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

49 46 60 887 64 93 0 147 111

N.S.

1 0.94 1.22 18.10 1.31 1.90 0.00 3.00 2.27

time (sec)

N/A 0.331 0.060 0.319 0.232 0.247 0.000 0.318 4.563

Problem 357

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

45 41 46 37 43 46 56 35 28

N.S.

1 0.91 1.02 0.82 0.96 1.02 1.24 0.78 0.62

time (sec)

N/A 0.306 0.043 0.168 0.207 0.235 0.562 0.280 0.173

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A C F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 41 46 29 43 57 0 40 28

N.S.

1 0.91 1.02 0.64 0.96 1.27 0.00 0.89 0.62

time (sec)

N/A 0.305 0.043 0.204 0.207 0.253 0.000 0.264 4.510

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

49 46 59 872 64 92 0 98 119

N.S.

1 0.94 1.20 17.80 1.31 1.88 0.00 2.00 2.43

time (sec)

N/A 0.328 0.046 0.340 0.196 0.257 0.000 0.373 4.665

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F A B

verified

N/A No Yes No TBD TBD TBD TBD TBD

size

107 91 150 842 184 233 0 167 187

N.S.

1 0.85 1.40 7.87 1.72 2.18 0.00 1.56 1.75

time (sec)

N/A 0.512 0.088 3.425 0.284 0.271 0.000 0.436 4.562

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

136 136 114 327 0 327 0 0 0

N.S.

1 1.00 0.84 2.40 0.00 2.40 0.00 0.00 0.00

time (sec)

N/A 0.754 0.182 150.796 0.000 0.277 0.000 0.000 0.000

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