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2.2.4 Integrals 301 to 400

Detailed conclusion table per each integral is given by 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 just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

92 92 81 171 0 0 0 0 -1

N.S.

1 1.00 0.88 1.86 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.111 0.158 3.550 0.000 0.000 0.000 0.000 0.000

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 54 55 0 65 0 0 -1

N.S.

1 1.00 1.54 1.57 0.00 1.86 0.00 0.00 -0.03

time (sec)

N/A 0.036 0.081 2.572 0.000 0.379 0.000 0.000 0.000

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.089 0.545 180.000 0.000 0.000 0.000 0.000 0.000

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.090 0.957 180.000 0.000 0.000 0.000 0.000 0.000

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.096 3.387 180.000 0.000 0.000 0.000 0.000 0.000

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.068 5.133 180.000 0.000 0.000 0.000 0.000 0.000

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

28 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04

time (sec)

N/A 0.036 0.114 180.000 0.000 0.000 0.000 0.000 0.000

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.098 2.619 180.000 0.000 0.000 0.000 0.000 0.000

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.098 1.656 180.000 0.000 0.000 0.000 0.000 0.000

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.094 0.790 180.000 0.000 0.000 0.000 0.000 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.084 0.141 180.000 0.000 0.000 0.000 0.000 0.000

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.091 0.465 180.000 0.000 0.000 0.000 0.000 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.099 0.879 180.000 0.000 0.000 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.096 1.271 180.000 0.000 0.000 0.000 0.000 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

98 98 257 109 0 0 0 0 -1

N.S.

1 1.00 2.62 1.11 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.215 0.272 4.332 0.000 0.000 0.000 0.000 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

82 82 194 85 0 0 0 0 -1

N.S.

1 1.00 2.37 1.04 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.201 0.206 2.479 0.000 0.000 0.000 0.000 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A F F F F F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

58 58 217 61 0 0 0 0 -1

N.S.

1 1.00 3.74 1.05 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.154 1.290 2.118 0.000 0.000 0.000 0.000 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

66 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.161 2.273 180.000 0.000 0.000 0.000 0.000 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

68 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.157 9.143 2.007 0.000 0.000 0.000 0.000 0.000

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

350 350 322 1029 0 0 0 0 -1

N.S.

1 1.00 0.92 2.94 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.471 0.558 5.942 0.000 0.000 0.000 0.000 0.000

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

154 154 130 422 0 0 0 0 -1

N.S.

1 1.00 0.84 2.74 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.335 0.350 4.292 0.000 0.000 0.000 0.000 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

248 248 217 622 0 0 0 0 -1

N.S.

1 1.00 0.88 2.51 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.274 0.318 2.668 0.000 0.000 0.000 0.000 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

146 146 121 361 0 0 0 0 -1

N.S.

1 1.00 0.83 2.47 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.123 0.162 4.743 0.000 0.000 0.000 0.000 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

182 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.171 25.464 180.000 0.000 0.000 0.000 0.000 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

98 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.109 8.343 180.000 0.000 0.000 0.000 0.000 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.086 129.824 180.000 0.000 0.000 0.000 0.000 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.085 180.001 180.000 0.000 0.000 0.000 0.000 0.000

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

354 354 338 1176 0 0 0 0 -1

N.S.

1 1.00 0.95 3.32 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.548 0.748 4.971 0.000 0.000 0.000 0.000 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

348 348 327 1029 0 0 0 0 -1

N.S.

1 1.00 0.94 2.96 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.552 0.672 3.149 0.000 0.000 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

246 246 232 737 0 0 0 0 -1

N.S.

1 1.00 0.94 3.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.241 0.428 4.676 0.000 0.000 0.000 0.000 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

291 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.375 23.717 180.000 0.000 0.000 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

158 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.285 48.721 180.000 0.000 0.000 0.000 0.000 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.095 123.138 180.000 0.000 0.000 0.000 0.000 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

107 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.203 180.005 180.000 0.000 0.000 0.000 0.000 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

454 454 446 1676 0 0 0 0 -1

N.S.

1 1.00 0.98 3.69 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.834 1.200 5.314 0.000 0.000 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

448 448 436 1499 0 0 0 0 -1

N.S.

1 1.00 0.97 3.35 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.789 1.007 4.500 0.000 0.000 0.000 0.000 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

351 351 343 1176 0 0 0 0 -1

N.S.

1 1.00 0.98 3.35 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.350 0.719 4.028 0.000 0.000 0.000 0.000 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

386 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.553 5.946 180.000 0.000 0.000 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

162 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.430 11.892 180.000 0.000 0.000 0.000 0.000 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.091 15.707 180.000 0.000 0.000 0.000 0.000 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.095 15.423 180.000 0.000 0.000 0.000 0.000 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

337 337 190 1044 0 0 0 0 -1

N.S.

1 1.00 0.56 3.10 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.309 0.559 6.857 0.000 0.000 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

236 236 149 758 0 0 0 0 -1

N.S.

1 1.00 0.63 3.21 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.249 0.348 6.070 0.000 0.000 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

237 237 144 632 0 0 0 0 -1

N.S.

1 1.00 0.61 2.67 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.245 0.330 4.914 0.000 0.000 0.000 0.000 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

136 136 117 377 0 0 0 0 -1

N.S.

1 1.00 0.86 2.77 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.178 0.211 6.347 0.000 0.000 0.000 0.000 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

130 130 107 281 0 0 0 0 -1

N.S.

1 1.00 0.82 2.16 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.123 0.160 2.946 0.000 0.000 0.000 0.000 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

37 37 50 57 0 75 0 0 59

N.S.

1 1.00 1.35 1.54 0.00 2.03 0.00 0.00 1.59

time (sec)

N/A 0.033 0.024 1.375 0.000 0.349 0.000 0.000 0.451

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

85 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.113 3.366 180.000 0.000 0.000 0.000 0.000 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

85 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.113 1.122 180.000 0.000 0.000 0.000 0.000 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.100 21.746 180.000 0.000 0.000 0.000 0.000 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

107 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.242 4.708 180.000 0.000 0.000 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 A F(-2) A

verified

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

size

29 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.068 15.543 180.000 0.000 0.000 0.000 0.000 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

102 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.178 1.649 180.000 0.000 0.000 0.000 0.000 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.098 16.290 180.000 0.000 0.000 0.000 0.000 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.096 14.557 180.000 0.000 0.000 0.000 0.000 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

109 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.295 4.090 180.000 0.000 0.000 0.000 0.000 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.098 35.324 180.000 0.000 0.000 0.000 0.000 0.000

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.100 5.247 180.000 0.000 0.000 0.000 0.000 0.000

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.073 31.668 180.000 0.000 0.000 0.000 0.000 0.000

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

102 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.173 2.539 180.000 0.000 0.000 0.000 0.000 0.000

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.099 26.680 180.000 0.000 0.000 0.000 0.000 0.000

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

31 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.097 10.230 180.000 0.000 0.000 0.000 0.000 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.107 0.894 180.000 0.000 0.000 0.000 0.000 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.105 0.167 180.000 0.000 0.000 0.000 0.000 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

92 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.127 0.545 180.000 0.000 0.000 0.000 0.000 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.100 1.023 180.000 0.000 0.000 0.000 0.000 0.000

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03

time (sec)

N/A 0.102 1.380 180.000 0.000 0.000 0.000 0.000 0.000

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

32 32 45 51 0 56 0 0 48

N.S.

1 1.00 1.41 1.59 0.00 1.75 0.00 0.00 1.50

time (sec)

N/A 0.025 0.021 1.415 0.000 0.344 0.000 0.000 0.412

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

259 259 300 0 0 0 0 0 -1

N.S.

1 1.00 1.16 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.114 1.860 180.000 0.000 0.000 0.000 0.000 0.000

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

340 340 384 0 0 0 0 0 -1

N.S.

1 1.00 1.13 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.109 1.054 180.000 0.000 0.000 0.000 0.000 0.000

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

241 241 331 0 0 0 0 0 -1

N.S.

1 1.00 1.37 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.686 2.847 180.000 0.000 0.000 0.000 0.000 0.000

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

233 233 246 0 0 0 0 0 -1

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.422 1.205 180.000 0.000 0.000 0.000 0.000 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

187 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.949 2.951 180.000 0.000 0.000 0.000 0.000 0.000

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

479 479 527 0 0 0 0 0 -1

N.S.

1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.324 2.532 180.000 0.000 0.000 0.000 0.000 0.000

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

462 462 498 0 0 0 0 0 -1

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.427 1.952 180.000 0.000 0.000 0.000 0.000 0.000

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

363 363 508 0 0 0 0 0 -1

N.S.

1 1.00 1.40 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.119 4.798 180.000 0.000 0.000 0.000 0.000 0.000

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

351 351 387 0 0 0 0 0 -1

N.S.

1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.596 1.268 180.000 0.000 0.000 0.000 0.000 0.000

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

289 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.555 2.151 180.000 0.000 0.000 0.000 0.000 0.000

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

351 351 154 0 0 0 0 0 -1

N.S.

1 1.00 0.44 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.369 0.187 180.000 0.000 0.000 0.000 0.000 0.000

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

205 205 117 0 0 0 0 0 -1

N.S.

1 1.00 0.57 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.169 0.101 180.000 0.000 0.000 0.000 0.000 0.000

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 48 48 41 0 0 0 0 -1

N.S.

1 1.00 1.00 0.85 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.031 0.024 1.251 0.000 0.000 0.000 0.000 0.000

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

95 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.069 1.457 4.918 0.000 0.000 0.000 0.000 0.000

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

194 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.216 1.860 4.566 0.000 0.000 0.000 0.000 0.000

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

511 511 198 0 0 0 0 0 -1

N.S.

1 1.00 0.39 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.670 0.351 180.000 0.000 0.000 0.000 0.000 0.000

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

302 302 136 0 0 0 0 0 -1

N.S.

1 1.00 0.45 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.339 0.251 180.000 0.000 0.000 0.000 0.000 0.000

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 48 48 41 0 0 0 0 -1

N.S.

1 1.00 1.00 0.85 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.032 0.024 1.444 0.000 0.000 0.000 0.000 0.000

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

95 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.066 1.516 4.339 0.000 0.000 0.000 0.000 0.000

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

580 580 213 0 0 0 0 0 -1

N.S.

1 1.00 0.37 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.937 0.363 180.000 0.000 0.000 0.000 0.000 0.000

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

330 330 148 0 0 0 0 0 -1

N.S.

1 1.00 0.45 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.417 0.344 180.000 0.000 0.000 0.000 0.000 0.000

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 48 48 41 0 0 0 0 -1

N.S.

1 1.00 1.00 0.85 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.030 0.024 1.420 0.000 0.000 0.000 0.000 0.000

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

95 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.066 1.159 4.098 0.000 0.000 0.000 0.000 0.000

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

368 368 165 0 0 0 0 0 -1

N.S.

1 1.00 0.45 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.365 0.203 180.000 0.000 0.000 0.000 0.000 0.000

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

211 211 121 0 0 0 0 0 -1

N.S.

1 1.00 0.57 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.178 0.106 180.000 0.000 0.000 0.000 0.000 0.000

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

50 50 50 44 0 0 0 0 -1

N.S.

1 1.00 1.00 0.88 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.026 0.036 1.686 0.000 0.000 0.000 0.000 0.000

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

98 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.059 0.699 4.251 0.000 0.000 0.000 0.000 0.000

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

200 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.197 1.538 4.174 0.000 0.000 0.000 0.000 0.000

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

525 525 219 0 0 0 0 0 -1

N.S.

1 1.00 0.42 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.704 0.334 180.000 0.000 0.000 0.000 0.000 0.000

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

316 316 144 0 0 0 0 0 -1

N.S.

1 1.00 0.46 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.381 0.271 180.000 0.000 0.000 0.000 0.000 0.000

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

50 50 50 44 0 0 0 0 -1

N.S.

1 1.00 1.00 0.88 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.024 0.037 1.689 0.000 0.000 0.000 0.000 0.000

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

98 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.063 0.732 4.105 0.000 0.000 0.000 0.000 0.000

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