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Integrals 301 to 400

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 34 34 34 130 41 0 0 46

N.S.

1 1.00 1.00 1.00 3.82 1.21 0.00 0.00 1.35

time (sec)

N/A 0.093 0.047 3.582 0.309 0.273 0.000 0.000 5.659

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 46 41 210 67 0 0 77

N.S.

1 1.00 0.61 0.54 2.76 0.88 0.00 0.00 1.01

time (sec)

N/A 0.198 0.046 2.743 0.313 0.274 0.000 0.000 5.877

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 56 54 287 81 0 0 120

N.S.

1 1.00 0.49 0.47 2.50 0.70 0.00 0.00 1.04

time (sec)

N/A 0.314 0.065 2.825 0.310 0.281 0.000 0.000 6.613

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 154 66 63 363 93 0 0 261

N.S.

1 1.00 0.43 0.41 2.36 0.60 0.00 0.00 1.69

time (sec)

N/A 0.225 0.124 2.735 0.319 0.329 0.000 0.000 10.900

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

247 247 80 329 0 1058 0 0 0

N.S.

1 1.00 0.32 1.33 0.00 4.28 0.00 0.00 0.00

time (sec)

N/A 0.268 0.086 7.539 0.000 0.494 0.000 0.000 0.000

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

215 215 80 301 0 1196 0 0 0

N.S.

1 1.00 0.37 1.40 0.00 5.56 0.00 0.00 0.00

time (sec)

N/A 0.199 0.101 7.270 0.000 0.475 0.000 0.000 0.000

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

236 236 80 317 0 1096 0 0 0

N.S.

1 1.00 0.34 1.34 0.00 4.64 0.00 0.00 0.00

time (sec)

N/A 0.253 0.081 2.807 0.000 0.503 0.000 0.000 0.000

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 49 63 131 100 0 0 82

N.S.

1 1.00 1.36 1.75 3.64 2.78 0.00 0.00 2.28

time (sec)

N/A 0.049 0.051 2.725 0.304 0.287 0.000 0.000 5.321

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 59 89 211 71 0 0 95

N.S.

1 1.00 0.78 1.17 2.78 0.93 0.00 0.00 1.25

time (sec)

N/A 0.097 0.084 2.691 0.327 0.284 0.000 0.000 6.951

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 56 64 294 99 0 0 119

N.S.

1 1.00 0.49 0.56 2.56 0.86 0.00 0.00 1.03

time (sec)

N/A 0.155 0.077 2.693 0.325 0.281 0.000 0.000 6.517

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 154 66 83 373 115 0 0 230

N.S.

1 1.00 0.43 0.54 2.42 0.75 0.00 0.00 1.49

time (sec)

N/A 0.212 0.114 2.667 0.339 0.307 0.000 0.000 10.555

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 193 76 88 451 125 0 0 413

N.S.

1 1.00 0.39 0.46 2.34 0.65 0.00 0.00 2.14

time (sec)

N/A 0.268 0.180 2.813 0.342 0.295 0.000 0.000 11.768

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

261 261 80 329 0 1225 0 0 0

N.S.

1 1.00 0.31 1.26 0.00 4.69 0.00 0.00 0.00

time (sec)

N/A 0.328 0.129 7.681 0.000 0.511 0.000 0.000 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

239 239 80 309 0 1126 0 0 0

N.S.

1 1.00 0.33 1.29 0.00 4.71 0.00 0.00 0.00

time (sec)

N/A 0.251 0.084 8.005 0.000 0.496 0.000 0.000 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

218 218 80 287 0 1334 0 0 0

N.S.

1 1.00 0.37 1.32 0.00 6.12 0.00 0.00 0.00

time (sec)

N/A 0.196 0.088 3.319 0.000 0.525 0.000 0.000 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 49 50 131 70 0 0 102

N.S.

1 1.00 1.36 1.39 3.64 1.94 0.00 0.00 2.83

time (sec)

N/A 0.053 0.077 2.827 0.336 0.274 0.000 0.000 6.158

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 59 115 207 148 0 0 145

N.S.

1 1.00 0.78 1.51 2.72 1.95 0.00 0.00 1.91

time (sec)

N/A 0.098 0.067 2.757 0.315 0.285 0.000 0.000 6.523

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 56 140 287 98 0 0 137

N.S.

1 1.00 0.49 1.22 2.50 0.85 0.00 0.00 1.19

time (sec)

N/A 0.150 0.105 2.819 0.328 0.288 0.000 0.000 7.232

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

154 154 66 90 373 130 0 0 261

N.S.

1 1.00 0.43 0.58 2.42 0.84 0.00 0.00 1.69

time (sec)

N/A 0.221 0.094 2.856 0.366 0.321 0.000 0.000 10.852

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 193 76 105 451 144 0 0 379

N.S.

1 1.00 0.39 0.54 2.34 0.75 0.00 0.00 1.96

time (sec)

N/A 0.269 0.180 2.806 0.327 0.293 0.000 0.000 11.511

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

78 78 77 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.071 0.102 0.000 0.000 0.000 0.000 0.000 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

78 78 77 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.077 0.083 0.000 0.000 0.000 0.000 0.000 0.000

Problem 323

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

78 78 77 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.175 0.058 0.000 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 F F F F F F(-1)

verified

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

size

78 78 77 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.140 0.067 0.000 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 F F F F F F(-1)

verified

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

size

77 77 77 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.138 0.060 0.000 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 F F F F F(-1) F(-1)

verified

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

size

75 75 75 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.129 0.066 0.000 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 A F F F F(-1) F F(-1)

verified

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

size

95 95 94 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.093 0.132 0.000 0.000 0.000 0.000 0.000 0.000

Problem 328

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

95 95 94 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.058 0.070 0.000 0.000 0.000 0.000 0.000 0.000

Problem 329

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

95 95 94 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.059 0.072 0.000 0.000 0.000 0.000 0.000 0.000

Problem 330

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

93 93 92 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.047 0.374 0.000 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 F F F F F F(-1)

verified

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

size

95 95 94 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.076 0.113 0.000 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 F F F F F F(-1)

verified

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

size

93 93 94 0 0 0 0 0 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.072 0.117 0.000 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 F F F F F F(-1)

verified

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

size

93 93 94 0 0 0 0 0 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.068 0.109 0.000 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 A F F F F(-1) F F(-1)

verified

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

size

93 93 94 0 0 0 0 0 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.073 0.140 0.000 0.000 0.000 0.000 0.000 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

103 103 102 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.086 0.162 0.000 0.000 0.000 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

103 103 102 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.082 0.137 0.000 0.000 0.000 0.000 0.000 0.000

Problem 337

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

103 103 101 0 0 0 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.086 0.143 0.000 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 F F F F F F(-1)

verified

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

size

97 97 98 0 0 0 0 0 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.073 0.253 0.000 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 F F F F F F(-1)

verified

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

size

101 101 97 0 0 0 0 0 0

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.082 0.070 0.000 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 F F F F F(-1) F(-1)

verified

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

size

102 102 101 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.087 0.116 0.000 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 F F F F F(-1) F(-1)

verified

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

size

105 105 102 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.098 0.096 0.000 0.000 0.000 0.000 0.000 0.000

Problem 342

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

114 114 112 0 0 0 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.085 0.131 0.000 0.000 0.000 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 109 89 212 520 153 0 517 555

N.S.

1 1.00 0.82 1.94 4.77 1.40 0.00 4.74 5.09

time (sec)

N/A 0.066 0.448 14.004 0.194 0.317 0.000 0.346 11.545

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

81 81 68 136 266 102 5534 294 195

N.S.

1 1.00 0.84 1.68 3.28 1.26 68.32 3.63 2.41

time (sec)

N/A 0.050 0.217 4.733 0.197 0.290 32.265 0.300 2.367

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 52 68 111 61 1114 137 85

N.S.

1 1.00 0.95 1.24 2.02 1.11 20.25 2.49 1.55

time (sec)

N/A 0.040 0.092 1.898 0.191 0.292 3.020 0.446 0.889

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 27 26 28 80 26 29

N.S.

1 1.00 1.00 1.04 1.00 1.08 3.08 1.00 1.12

time (sec)

N/A 0.020 0.045 5.678 0.189 0.277 0.462 0.421 0.269

Problem 347

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

40 40 63 0 0 0 0 0 0

N.S.

1 1.00 1.58 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.033 0.070 0.000 0.000 0.000 0.000 0.000 0.000

Problem 348

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

47 47 111 0 0 0 0 0 0

N.S.

1 1.00 2.36 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.042 0.235 0.000 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 B F F F F(-1) F F(-1)

verified

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

size

51 51 163 0 0 0 0 0 0

N.S.

1 1.00 3.20 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.040 0.444 0.000 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 F F F F F F(-1)

verified

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

size

83 83 78 0 0 0 0 0 0

N.S.

1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.056 0.088 0.000 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 F F F F F F(-1)

verified

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

size

81 81 78 0 0 0 0 0 0

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.055 0.071 0.000 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 F F F F F F(-1)

verified

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

size

73 73 73 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.059 0.135 0.000 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 F F F F(-1) F F(-1)

verified

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

size

83 83 78 0 0 0 0 0 0

N.S.

1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.066 0.114 0.000 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 F F F F(-1) F F(-1)

verified

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

size

88 88 85 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.077 0.137 0.000 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 F F F F(-1) F F(-1)

verified

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

size

88 88 85 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.067 0.097 0.000 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 F F F F F F(-1)

verified

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

size

88 88 85 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.058 0.066 0.000 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 F F F F F F(-1)

verified

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

size

86 86 83 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.063 0.061 0.000 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 F F F F F F(-1)

verified

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

size

82 82 82 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.062 0.081 0.000 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 F F F F(-1) F F(-1)

verified

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

size

85 85 85 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.061 0.089 0.000 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 F F A F F B

verified

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

size

201 201 101 0 0 104 0 0 137

N.S.

1 1.00 0.50 0.00 0.00 0.52 0.00 0.00 0.68

time (sec)

N/A 0.220 0.137 0.000 0.000 0.297 0.000 0.000 6.165

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F A F F B

verified

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

size

142 142 76 0 0 75 0 0 103

N.S.

1 1.00 0.54 0.00 0.00 0.53 0.00 0.00 0.73

time (sec)

N/A 0.148 0.094 0.000 0.000 0.286 0.000 0.000 5.181

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F A F F B

verified

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

size

89 89 53 0 0 61 0 0 71

N.S.

1 1.00 0.60 0.00 0.00 0.69 0.00 0.00 0.80

time (sec)

N/A 0.084 0.082 0.000 0.000 0.297 0.000 0.000 5.143

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F A A F F B

verified

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

size

34 34 34 0 65 39 0 0 34

N.S.

1 1.00 1.00 0.00 1.91 1.15 0.00 0.00 1.00

time (sec)

N/A 0.034 0.042 0.000 0.281 0.306 0.000 0.000 0.419

Problem 364

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

115 115 108 0 0 0 0 0 0

N.S.

1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.078 0.092 0.000 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 F F F F F F(-1)

verified

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

size

97 97 97 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.067 0.193 0.000 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 F F F F F F(-1)

verified

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

size

115 115 113 0 0 0 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.079 0.178 0.000 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 F B B F B B

verified

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

size

150 150 105 0 624 314 0 37234 601

N.S.

1 1.00 0.70 0.00 4.16 2.09 0.00 248.23 4.01

time (sec)

N/A 0.160 0.288 0.000 0.309 0.307 0.000 41.838 13.560

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F B A F B B

verified

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

size

94 94 72 0 351 170 0 16008 241

N.S.

1 1.00 0.77 0.00 3.73 1.81 0.00 170.30 2.56

time (sec)

N/A 0.089 0.146 0.000 0.299 0.286 0.000 13.027 8.599

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

44 44 43 44 144 80 0 3600 58

N.S.

1 1.00 0.98 1.00 3.27 1.82 0.00 81.82 1.32

time (sec)

N/A 0.037 0.767 4.006 0.302 0.303 0.000 2.977 5.124

Problem 370

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

61 61 61 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.045 0.051 0.000 0.000 0.000 0.000 0.000 0.000

Problem 371

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

70 70 76 0 0 0 0 0 0

N.S.

1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.053 0.101 0.000 0.000 0.000 0.000 0.000 0.000

Problem 372

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

89 89 96 0 0 0 0 0 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.069 0.149 0.000 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 F F F F F F(-1)

verified

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

size

89 89 96 0 0 0 0 0 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.065 0.122 0.000 0.000 0.000 0.000 0.000 0.000

Problem 374

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

86 86 90 0 0 0 0 0 0

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.061 0.067 0.000 0.000 0.000 0.000 0.000 0.000

Problem 375

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

87 87 87 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.066 0.169 0.000 0.000 0.000 0.000 0.000 0.000

Problem 376

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 69 70 51 83 88 68

N.S.

1 1.00 1.00 1.15 1.17 0.85 1.38 1.47 1.13

time (sec)

N/A 0.029 0.011 0.553 0.242 0.296 0.332 0.330 4.474

Problem 377

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

44 44 44 49 48 39 60 48 46

N.S.

1 1.00 1.00 1.11 1.09 0.89 1.36 1.09 1.05

time (sec)

N/A 0.021 0.005 0.431 0.232 0.323 0.152 0.323 0.062

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 28 39 25 20 25 34 25 23

N.S.

1 1.27 1.77 1.14 0.91 1.14 1.55 1.14 1.05

time (sec)

N/A 0.011 0.006 0.333 0.238 0.297 0.082 0.522 0.046

Problem 379

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

43 43 26 32 35 37 0 37 54

N.S.

1 1.00 0.60 0.74 0.81 0.86 0.00 0.86 1.26

time (sec)

N/A 0.027 0.010 0.608 0.226 0.299 0.000 0.516 0.079

Problem 380

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

41 41 52 50 53 67 0 55 44

N.S.

1 1.00 1.27 1.22 1.29 1.63 0.00 1.34 1.07

time (sec)

N/A 0.025 0.015 0.925 0.196 0.300 0.000 0.501 0.080

Problem 381

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

61 61 74 63 78 82 0 70 64

N.S.

1 1.00 1.21 1.03 1.28 1.34 0.00 1.15 1.05

time (sec)

N/A 0.030 0.008 1.069 0.178 0.292 0.000 0.605 4.800

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 62 52 48 51 124 77 111

N.S.

1 1.00 0.95 0.80 0.74 0.78 1.91 1.18 1.71

time (sec)

N/A 0.033 0.076 1.224 0.183 0.266 0.224 0.336 8.381

Problem 383

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

43 43 46 41 37 37 71 47 68

N.S.

1 1.00 1.07 0.95 0.86 0.86 1.65 1.09 1.58

time (sec)

N/A 0.023 0.041 0.555 0.180 0.279 0.109 0.303 6.871

Problem 384

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

23 23 23 24 23 22 0 33 22

N.S.

1 1.00 1.00 1.04 1.00 0.96 0.00 1.43 0.96

time (sec)

N/A 0.025 0.009 1.181 0.180 0.257 0.000 0.320 4.687

Problem 385

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

44 44 41 38 35 35 0 76 42

N.S.

1 1.00 0.93 0.86 0.80 0.80 0.00 1.73 0.95

time (sec)

N/A 0.029 0.058 1.019 0.183 0.270 0.000 0.334 4.693

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 53 48 48 50 0 120 75

N.S.

1 1.00 0.88 0.80 0.80 0.83 0.00 2.00 1.25

time (sec)

N/A 0.031 0.122 1.153 0.181 0.266 0.000 0.325 5.035

Problem 387

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

99 99 104 102 106 87 158 136 104

N.S.

1 1.00 1.05 1.03 1.07 0.88 1.60 1.37 1.05

time (sec)

N/A 0.066 0.152 0.761 0.176 0.274 0.517 0.342 4.716

Problem 388

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

77 77 56 74 73 69 107 80 74

N.S.

1 1.00 0.73 0.96 0.95 0.90 1.39 1.04 0.96

time (sec)

N/A 0.053 0.086 0.556 0.177 0.289 0.228 0.328 0.062

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 46 21 20 48 53 20 39

N.S.

1 1.00 2.09 0.95 0.91 2.18 2.41 0.91 1.77

time (sec)

N/A 0.018 0.013 0.363 0.176 0.275 0.145 0.307 0.069

Problem 390

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

61 61 54 62 60 62 0 62 50

N.S.

1 1.00 0.89 1.02 0.98 1.02 0.00 1.02 0.82

time (sec)

N/A 0.059 0.049 0.695 0.184 0.296 0.000 0.296 4.823

Problem 391

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

59 59 113 99 78 90 0 86 62

N.S.

1 1.00 1.92 1.68 1.32 1.53 0.00 1.46 1.05

time (sec)

N/A 0.044 0.647 1.106 0.184 0.296 0.000 0.321 0.145

Problem 392

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

99 99 166 131 115 118 0 118 93

N.S.

1 1.00 1.68 1.32 1.16 1.19 0.00 1.19 0.94

time (sec)

N/A 0.060 0.514 1.351 0.180 0.291 0.000 0.328 4.798

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 146 141 128 114 108 398 162 178

N.S.

1 1.00 0.97 0.88 0.78 0.74 2.73 1.11 1.22

time (sec)

N/A 0.101 0.417 1.764 0.179 0.292 0.697 0.383 5.164

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 116 133 108 88 89 287 123 134

N.S.

1 1.00 1.15 0.93 0.76 0.77 2.47 1.06 1.16

time (sec)

N/A 0.082 0.271 1.356 0.186 0.290 0.358 0.330 5.222

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 85 76 64 70 180 76 71

N.S.

1 1.00 0.99 0.88 0.74 0.81 2.09 0.88 0.83

time (sec)

N/A 0.070 0.403 0.750 0.185 0.293 0.172 0.309 5.105

Problem 396

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

49 49 55 46 46 45 0 63 53

N.S.

1 1.00 1.12 0.94 0.94 0.92 0.00 1.29 1.08

time (sec)

N/A 0.036 0.047 1.052 0.272 0.260 0.000 0.318 5.058

Problem 397

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

75 75 105 62 51 52 0 102 71

N.S.

1 1.00 1.40 0.83 0.68 0.69 0.00 1.36 0.95

time (sec)

N/A 0.069 0.233 1.148 0.185 0.271 0.000 0.310 5.007

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

103 103 84 92 76 77 0 181 103

N.S.

1 1.00 0.82 0.89 0.74 0.75 0.00 1.76 1.00

time (sec)

N/A 0.076 0.304 1.310 0.194 0.263 0.000 0.330 5.247

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 110 120 97 99 0 260 135

N.S.

1 1.00 0.85 0.93 0.75 0.77 0.00 2.02 1.05

time (sec)

N/A 0.083 0.524 1.426 0.178 0.282 0.000 0.342 5.408

Problem 400

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

144 144 120 141 144 117 202 185 141

N.S.

1 1.00 0.83 0.98 1.00 0.81 1.40 1.28 0.98

time (sec)

N/A 0.092 0.368 1.191 0.181 0.302 0.678 0.393 0.104

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