Integrals 301 to 357

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 Reduce Mupad

grade

N/A 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 TBD

size

14 14 16 14 16 18 12 16 38 16

N.S.

1 1.00 1.14 1.00 1.14 1.29 0.86 1.14 2.71 1.14

time (sec)

N/A 0.168 0.042 0.338 0.198 0.076 27.141 0.483 0.146 40.035

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A 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 TBD

size

20 20 22 20 22 24 15 22 82 22

N.S.

1 1.00 1.10 1.00 1.10 1.20 0.75 1.10 4.10 1.10

time (sec)

N/A 0.182 0.055 0.019 0.460 0.078 166.501 0.515 0.151 0.002

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 24 22 24 35 0 24 134 24

N.S.

1 1.00 1.09 1.00 1.09 1.59 0.00 1.09 6.09 1.09

time (sec)

N/A 0.194 0.061 0.017 2.766 0.109 0.000 0.562 0.151 0.002

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 0 22 1281 63 0 24 8294 24

N.S.

1 1.00 0.00 1.00 58.23 2.86 0.00 1.09 377.00 1.09

time (sec)

N/A 0.193 0.000 0.708 25.512 0.091 0.000 4.201 0.389 40.152

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 22 20 1103 52 0 22 3980 22

N.S.

1 1.00 1.10 1.00 55.15 2.60 0.00 1.10 199.00 1.10

time (sec)

N/A 0.180 18.935 0.803 1.909 0.090 0.000 3.188 0.270 40.175

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 16 14 974 47 0 16 1167 16

N.S.

1 1.00 1.14 1.00 69.57 3.36 0.00 1.14 83.36 1.14

time (sec)

N/A 0.162 3.340 0.424 0.408 0.087 0.000 2.299 0.222 40.289

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 22 20 1103 52 0 22 3980 22

N.S.

1 1.00 1.10 1.00 55.15 2.60 0.00 1.10 199.00 1.10

time (sec)

N/A 0.182 2.209 0.018 1.929 0.093 0.000 3.155 0.267 0.002

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 0 22 1281 63 0 24 8294 24

N.S.

1 1.00 0.00 1.00 58.23 2.86 0.00 1.09 377.00 1.09

time (sec)

N/A 0.195 0.000 0.019 24.272 0.094 0.000 4.273 0.364 0.002

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 24 22 24 26 0 24 836 24

N.S.

1 1.00 1.09 1.00 1.09 1.18 0.00 1.09 38.00 1.09

time (sec)

N/A 0.190 3.155 0.494 0.568 0.084 0.000 0.193 0.242 40.418

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 96 94 0 0 80 0 0 16 0

N.S.

1 0.83 0.82 0.00 0.00 0.70 0.00 0.00 0.14 0.00

time (sec)

N/A 0.504 0.220 0.000 0.000 0.087 0.000 0.000 0.158 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A F B B

verified

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

size

96 83 47 151 146 74 129 0 54 109

N.S.

1 0.86 0.49 1.57 1.52 0.77 1.34 0.00 0.56 1.14

time (sec)

N/A 0.631 0.611 1.211 0.165 0.080 1.664 0.000 0.153 40.905

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A F B B

verified

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

size

74 63 40 133 99 64 107 0 40 88

N.S.

1 0.85 0.54 1.80 1.34 0.86 1.45 0.00 0.54 1.19

time (sec)

N/A 0.503 0.502 1.227 0.192 0.080 1.018 0.000 0.140 40.194

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A F B B

verified

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

size

45 44 30 117 60 55 70 0 24 63

N.S.

1 0.98 0.67 2.60 1.33 1.22 1.56 0.00 0.53 1.40

time (sec)

N/A 0.384 0.303 1.268 0.136 0.079 0.605 0.000 0.140 40.261

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A B F B B

verified

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

size

25 25 25 105 31 43 49 0 14 49

N.S.

1 1.00 1.00 4.20 1.24 1.72 1.96 0.00 0.56 1.96

time (sec)

N/A 0.244 0.113 1.786 0.115 0.078 0.394 0.000 0.146 41.002

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

55 36 36 106 42 57 0 0 16 0

N.S.

1 0.65 0.65 1.93 0.76 1.04 0.00 0.00 0.29 0.00

time (sec)

N/A 0.475 0.227 1.251 0.178 0.074 0.000 0.000 0.145 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 51 51 102 229 70 0 0 16 0

N.S.

1 0.66 0.66 1.32 2.97 0.91 0.00 0.00 0.21 0.00

time (sec)

N/A 0.562 0.487 1.289 0.166 0.092 0.000 0.000 0.146 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 70 69 123 256 90 0 0 43 0

N.S.

1 0.60 0.59 1.06 2.21 0.78 0.00 0.00 0.37 0.00

time (sec)

N/A 0.706 0.410 1.261 0.170 0.091 0.000 0.000 0.143 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 130 138 0 0 98 0 0 18 0

N.S.

1 0.85 0.90 0.00 0.00 0.64 0.00 0.00 0.12 0.00

time (sec)

N/A 0.511 0.639 0.000 0.000 0.079 0.000 0.000 0.157 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A F B B

verified

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

size

58 57 38 135 32 67 85 0 31 71

N.S.

1 0.98 0.66 2.33 0.55 1.16 1.47 0.00 0.53 1.22

time (sec)

N/A 0.485 0.111 0.997 0.137 0.083 1.665 0.000 0.234 41.582

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 119 105 240 73 134 0 0 18 0

N.S.

1 0.77 0.68 1.55 0.47 0.86 0.00 0.00 0.12 0.00

time (sec)

N/A 0.506 0.567 1.002 0.147 0.098 0.000 0.000 0.236 0.000

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A B F B B

verified

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

size

31 31 31 119 16 51 63 0 16 53

N.S.

1 1.00 1.00 3.84 0.52 1.65 2.03 0.00 0.52 1.71

time (sec)

N/A 0.346 0.171 1.509 0.131 0.075 0.625 0.000 0.240 39.459

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 94 80 157 51 120 0 0 14 0

N.S.

1 0.80 0.68 1.34 0.44 1.03 0.00 0.00 0.12 0.00

time (sec)

N/A 0.340 0.173 0.953 0.138 0.082 0.000 0.000 0.149 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

73 50 47 128 47 67 0 0 18 0

N.S.

1 0.68 0.64 1.75 0.64 0.92 0.00 0.00 0.25 0.00

time (sec)

N/A 0.378 0.190 0.970 0.212 0.080 0.000 0.000 0.178 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 112 105 232 76 134 0 0 18 0

N.S.

1 0.83 0.78 1.72 0.56 0.99 0.00 0.00 0.13 0.00

time (sec)

N/A 0.484 0.477 0.990 0.218 0.087 0.000 0.000 0.166 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 64 67 119 52 86 0 0 18 0

N.S.

1 0.65 0.68 1.21 0.53 0.88 0.00 0.00 0.18 0.00

time (sec)

N/A 0.646 0.352 0.991 0.208 0.079 0.000 0.000 0.150 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

157 134 142 0 0 0 0 0 18 0

N.S.

1 0.85 0.90 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 0.581 0.796 0.000 0.000 0.000 0.000 0.000 0.153 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 120 129 0 0 0 0 0 18 0

N.S.

1 0.84 0.90 0.00 0.00 0.00 0.00 0.00 0.13 0.00

time (sec)

N/A 0.504 0.438 0.000 0.000 0.000 0.000 0.000 0.178 0.000

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 120 129 0 0 0 0 0 18 0

N.S.

1 0.84 0.90 0.00 0.00 0.00 0.00 0.00 0.13 0.00

time (sec)

N/A 0.487 0.425 0.000 0.000 0.000 0.000 0.000 0.150 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 120 129 0 0 0 0 0 16 0

N.S.

1 0.84 0.90 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 0.441 0.362 0.000 0.000 0.000 0.000 0.000 0.166 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 112 119 0 0 0 0 0 14 0

N.S.

1 0.83 0.88 0.00 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.321 0.176 0.000 0.000 0.000 0.000 0.000 0.178 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

73 50 47 131 144 70 0 0 18 0

N.S.

1 0.68 0.64 1.79 1.97 0.96 0.00 0.00 0.25 0.00

time (sec)

N/A 0.420 0.252 2.189 0.282 0.090 0.000 0.000 0.151 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

139 116 110 0 0 0 0 0 18 0

N.S.

1 0.83 0.79 0.00 0.00 0.00 0.00 0.00 0.13 0.00

time (sec)

N/A 0.438 0.343 0.000 0.000 0.000 0.000 0.000 0.149 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 120 114 0 0 0 0 0 18 0

N.S.

1 0.84 0.80 0.00 0.00 0.00 0.00 0.00 0.13 0.00

time (sec)

N/A 0.451 0.466 0.000 0.000 0.000 0.000 0.000 0.173 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

169 126 142 0 0 112 0 0 18 0

N.S.

1 0.75 0.84 0.00 0.00 0.66 0.00 0.00 0.11 0.00

time (sec)

N/A 0.539 0.787 0.000 0.000 0.093 0.000 0.000 0.256 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 121 79 208 286 111 0 0 87 0

N.S.

1 0.73 0.48 1.26 1.73 0.67 0.00 0.00 0.53 0.00

time (sec)

N/A 0.527 0.502 1.489 0.164 0.087 0.000 0.000 0.242 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

139 101 69 190 219 95 0 0 70 0

N.S.

1 0.73 0.50 1.37 1.58 0.68 0.00 0.00 0.50 0.00

time (sec)

N/A 0.464 0.441 1.497 0.153 0.082 0.000 0.000 0.212 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 66 55 174 162 82 0 0 41 0

N.S.

1 0.84 0.70 2.20 2.05 1.04 0.00 0.00 0.52 0.00

time (sec)

N/A 0.350 0.292 1.430 0.137 0.084 0.000 0.000 0.160 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 48 47 158 116 60 0 0 26 0

N.S.

1 0.87 0.85 2.87 2.11 1.09 0.00 0.00 0.47 0.00

time (sec)

N/A 0.249 0.144 1.951 0.123 0.082 0.000 0.000 0.145 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

99 56 50 119 52 63 0 0 18 0

N.S.

1 0.57 0.51 1.20 0.53 0.64 0.00 0.00 0.18 0.00

time (sec)

N/A 0.422 0.197 1.467 0.165 0.096 0.000 0.000 0.182 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

86 60 65 112 265 80 0 0 33 0

N.S.

1 0.70 0.76 1.30 3.08 0.93 0.00 0.00 0.38 0.00

time (sec)

N/A 0.584 0.252 1.608 0.193 0.086 0.000 0.000 0.150 0.000

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 101 85 137 296 104 0 0 527 0

N.S.

1 0.85 0.71 1.15 2.49 0.87 0.00 0.00 4.43 0.00

time (sec)

N/A 0.570 0.402 1.497 0.237 0.095 0.000 0.000 0.155 0.000

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

209 158 189 0 0 130 0 0 65 0

N.S.

1 0.76 0.90 0.00 0.00 0.62 0.00 0.00 0.31 0.00

time (sec)

N/A 0.530 1.298 0.000 0.000 0.088 0.000 0.000 0.160 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 81 67 200 47 96 0 0 20 0

N.S.

1 0.89 0.74 2.20 0.52 1.05 0.00 0.00 0.22 0.00

time (sec)

N/A 0.435 0.489 1.308 0.134 0.088 0.000 0.000 0.188 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

195 118 113 309 99 149 0 0 20 0

N.S.

1 0.61 0.58 1.58 0.51 0.76 0.00 0.00 0.10 0.00

time (sec)

N/A 0.423 0.441 1.319 0.137 0.094 0.000 0.000 0.155 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 61 55 182 28 72 0 0 32 0

N.S.

1 0.94 0.85 2.80 0.43 1.11 0.00 0.00 0.49 0.00

time (sec)

N/A 0.387 0.200 1.793 0.202 0.086 0.000 0.000 0.162 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

148 97 93 224 76 119 0 0 16 0

N.S.

1 0.66 0.63 1.51 0.51 0.80 0.00 0.00 0.11 0.00

time (sec)

N/A 0.295 0.123 1.268 0.140 0.091 0.000 0.000 0.152 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

115 64 60 145 55 73 0 0 20 0

N.S.

1 0.56 0.52 1.26 0.48 0.63 0.00 0.00 0.17 0.00

time (sec)

N/A 0.378 0.188 1.318 0.214 0.082 0.000 0.000 0.147 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 111 107 301 90 133 0 0 20 0

N.S.

1 0.84 0.81 2.28 0.68 1.01 0.00 0.00 0.15 0.00

time (sec)

N/A 0.576 0.316 1.286 0.209 0.092 0.000 0.000 0.158 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 84 79 134 64 100 0 0 39 0

N.S.

1 0.52 0.49 0.83 0.40 0.62 0.00 0.00 0.24 0.00

time (sec)

N/A 0.447 0.280 1.286 0.299 0.098 0.000 0.000 0.161 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

217 166 194 0 0 0 0 0 20 0

N.S.

1 0.76 0.89 0.00 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 0.591 1.245 0.000 0.000 0.000 0.000 0.000 0.168 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

188 137 161 0 0 0 0 0 20 0

N.S.

1 0.73 0.86 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 0.523 0.802 0.000 0.000 0.000 0.000 0.000 0.156 0.000

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

188 137 168 0 0 0 0 0 20 0

N.S.

1 0.73 0.89 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 0.505 0.780 0.000 0.000 0.000 0.000 0.000 0.153 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

188 137 160 0 0 0 0 0 18 0

N.S.

1 0.73 0.85 0.00 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.474 0.770 0.000 0.000 0.000 0.000 0.000 0.161 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

178 127 149 0 0 0 0 0 16 0

N.S.

1 0.71 0.84 0.00 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 0.340 0.288 0.000 0.000 0.000 0.000 0.000 0.249 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD TBD

size

121 70 63 147 153 78 0 0 20 0

N.S.

1 0.58 0.52 1.21 1.26 0.64 0.00 0.00 0.17 0.00

time (sec)

N/A 0.390 0.286 2.283 0.278 0.085 0.000 0.000 0.236 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

180 129 125 0 0 0 0 0 20 0

N.S.

1 0.72 0.69 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 0.494 0.634 0.000 0.000 0.000 0.000 0.000 0.226 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

184 133 129 0 0 0 0 0 20 0

N.S.

1 0.72 0.70 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 0.499 0.596 0.000 0.000 0.000 0.000 0.000 0.157 0.000