Integrals 201 to 258

Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac 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

307 362 606 0 0 0 0 0 0 0

N.S.

1 1.18 1.97 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.919 13.103 0.000 0.000 0.000 0.000 0.000 0.477 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 115 387 0 0 0 0 0 98 0

N.S.

1 1.00 3.37 0.00 0.00 0.00 0.00 0.00 0.85 0.00

time (sec)

N/A 0.438 0.880 0.000 0.000 0.000 0.000 0.000 0.285 0.000

Problem 203

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 No N/A TBD TBD TBD TBD TBD TBD

size

135 135 174 0 0 0 0 0 116 0

N.S.

1 1.00 1.29 0.00 0.00 0.00 0.00 0.00 0.86 0.00

time (sec)

N/A 0.462 0.753 0.000 0.000 0.000 0.000 0.000 0.296 0.000

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

73 73 62 76 0 625 0 0 31 65

N.S.

1 1.00 0.85 1.04 0.00 8.56 0.00 0.00 0.42 0.89

time (sec)

N/A 0.352 0.203 1.450 0.000 0.117 0.000 0.000 0.298 3.301

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 71 57 74 0 334 87 0 56 51

N.S.

1 1.01 0.81 1.06 0.00 4.77 1.24 0.00 0.80 0.73

time (sec)

N/A 0.341 0.100 1.168 0.000 0.105 17.139 0.000 0.245 2.861

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 49 43 61 0 303 66 0 18 39

N.S.

1 1.02 0.90 1.27 0.00 6.31 1.38 0.00 0.38 0.81

time (sec)

N/A 0.274 0.059 1.191 0.000 0.117 0.997 0.000 0.267 2.406

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

47 49 47 37 0 305 66 0 31 36

N.S.

1 1.04 1.00 0.79 0.00 6.49 1.40 0.00 0.66 0.77

time (sec)

N/A 0.268 0.085 1.158 0.000 0.108 1.910 0.000 0.310 2.569

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 71 97 76 0 625 87 0 31 65

N.S.

1 1.00 1.37 1.07 0.00 8.80 1.23 0.00 0.44 0.92

time (sec)

N/A 0.348 0.112 1.153 0.000 0.108 8.253 0.000 0.228 2.731

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 73 101 74 0 1110 0 0 31 64

N.S.

1 1.01 1.40 1.03 0.00 15.42 0.00 0.00 0.43 0.89

time (sec)

N/A 0.340 0.176 1.154 0.000 0.154 0.000 0.000 0.321 3.427

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 92 136 149 0 8891 0 0 38 0

N.S.

1 0.68 1.01 1.10 0.00 65.86 0.00 0.00 0.28 0.00

time (sec)

N/A 0.500 0.870 2.351 0.000 1.149 0.000 0.000 0.382 0.000

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

105 53 105 90 0 6663 0 0 38 0

N.S.

1 0.50 1.00 0.86 0.00 63.46 0.00 0.00 0.36 0.00

time (sec)

N/A 0.438 0.051 2.131 0.000 0.842 0.000 0.000 0.309 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 29 58 52 0 1748 0 0 36 0

N.S.

1 0.50 1.00 0.90 0.00 30.14 0.00 0.00 0.62 0.00

time (sec)

N/A 0.320 0.024 2.151 0.000 0.560 0.000 0.000 0.349 0.000

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

106 111 109 0 0 6705 0 0 36 0

N.S.

1 1.05 1.03 0.00 0.00 63.25 0.00 0.00 0.34 0.00

time (sec)

N/A 0.458 0.241 0.000 0.000 0.831 0.000 0.000 0.301 0.000

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

142 191 142 0 0 9168 0 0 23 0

N.S.

1 1.35 1.00 0.00 0.00 64.56 0.00 0.00 0.16 0.00

time (sec)

N/A 0.580 0.397 0.000 0.000 1.103 0.000 0.000 200.026 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 85 131 165 0 7896 0 0 502 0

N.S.

1 0.64 0.99 1.25 0.00 59.82 0.00 0.00 3.80 0.00

time (sec)

N/A 0.779 0.211 2.221 0.000 1.353 0.000 0.000 0.422 0.000

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 95 76 92 94 604 0 68 159 155

N.S.

1 0.89 0.71 0.86 0.88 5.64 0.00 0.64 1.49 1.45

time (sec)

N/A 0.412 0.098 0.796 0.120 0.104 0.000 0.272 0.245 0.113

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 68 60 80 69 339 0 52 112 93

N.S.

1 0.88 0.78 1.04 0.90 4.40 0.00 0.68 1.45 1.21

time (sec)

N/A 0.362 0.065 0.708 0.127 0.088 0.000 0.116 0.240 2.235

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 45 40 48 47 147 0 41 68 58

N.S.

1 0.88 0.78 0.94 0.92 2.88 0.00 0.80 1.33 1.14

time (sec)

N/A 0.339 0.066 0.390 0.119 0.115 0.000 0.114 0.216 0.082

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 22 22 27 23 38 0 23 22 34

N.S.

1 0.88 0.88 1.08 0.92 1.52 0.00 0.92 0.88 1.36

time (sec)

N/A 0.297 0.013 0.378 0.120 0.086 0.000 0.110 0.238 0.052

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 22 22 27 38 49 0 32 34 38

N.S.

1 0.88 0.88 1.08 1.52 1.96 0.00 1.28 1.36 1.52

time (sec)

N/A 0.296 0.015 0.365 0.039 0.099 0.000 0.113 0.268 0.086

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 47 179 48 62 198 0 56 103 62

N.S.

1 0.89 3.38 0.91 1.17 3.74 0.00 1.06 1.94 1.17

time (sec)

N/A 0.351 1.440 0.388 0.039 0.090 0.000 0.125 0.246 2.092

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 72 286 77 88 459 0 72 177 97

N.S.

1 0.89 3.53 0.95 1.09 5.67 0.00 0.89 2.19 1.20

time (sec)

N/A 0.263 1.792 0.691 0.035 0.097 0.000 0.143 0.271 0.087

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 101 115 88 110 796 0 83 245 160

N.S.

1 0.89 1.02 0.78 0.97 7.04 0.00 0.73 2.17 1.42

time (sec)

N/A 0.258 10.083 0.752 0.038 0.108 0.000 0.127 0.228 0.078

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

88 113 48 35 89 393 0 89 193 86

N.S.

1 1.28 0.55 0.40 1.01 4.47 0.00 1.01 2.19 0.98

time (sec)

N/A 0.283 0.041 0.603 0.111 0.113 0.000 0.111 0.267 0.248

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 108 95 24 78 94 0 78 79 81

N.S.

1 1.59 1.40 0.35 1.15 1.38 0.00 1.15 1.16 1.19

time (sec)

N/A 0.330 0.026 0.485 0.128 0.097 0.000 0.105 0.244 2.222

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 23 16 36 22 31 0 23 26 26

N.S.

1 1.44 1.00 2.25 1.38 1.94 0.00 1.44 1.62 1.62

time (sec)

N/A 0.192 0.011 0.503 0.121 0.088 0.000 0.107 0.225 0.164

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 35 113 48 34 230 0 35 81 38

N.S.

1 1.00 3.23 1.37 0.97 6.57 0.00 1.00 2.31 1.09

time (sec)

N/A 0.209 1.125 0.591 0.113 0.098 0.000 0.104 0.277 0.198

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 74 76 62 61 1097 0 50 186 110

N.S.

1 1.00 1.03 0.84 0.82 14.82 0.00 0.68 2.51 1.49

time (sec)

N/A 0.249 11.059 0.678 0.107 0.108 0.000 0.105 0.251 2.571

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

88 113 97 59 81 549 0 81 182 86

N.S.

1 1.28 1.10 0.67 0.92 6.24 0.00 0.92 2.07 0.98

time (sec)

N/A 0.409 0.068 0.633 0.114 0.092 0.000 0.107 0.258 0.329

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 104 24 47 69 94 0 69 71 70

N.S.

1 1.49 0.34 0.67 0.99 1.34 0.00 0.99 1.01 1.00

time (sec)

N/A 0.329 0.012 0.546 0.122 0.100 0.000 0.108 0.230 2.347

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

71 97 22 138 75 113 0 76 82 81

N.S.

1 1.37 0.31 1.94 1.06 1.59 0.00 1.07 1.15 1.14

time (sec)

N/A 0.298 0.015 0.539 0.113 0.095 0.000 0.105 0.260 0.273

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

94 108 113 150 87 628 0 88 208 93

N.S.

1 1.15 1.20 1.60 0.93 6.68 0.00 0.94 2.21 0.99

time (sec)

N/A 0.498 1.451 0.556 0.122 0.113 0.000 0.108 0.236 2.467

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

296 382 51 36 0 1303 0 263 513 474

N.S.

1 1.29 0.17 0.12 0.00 4.40 0.00 0.89 1.73 1.60

time (sec)

N/A 1.120 0.047 0.689 0.000 0.143 0.000 0.122 0.285 5.215

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

280 373 24 24 0 171 0 251 230 457

N.S.

1 1.33 0.09 0.09 0.00 0.61 0.00 0.90 0.82 1.63

time (sec)

N/A 1.115 0.011 0.540 0.000 0.099 0.000 0.117 0.287 4.844

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 134 22 56 97 120 0 98 101 104

N.S.

1 1.47 0.24 0.62 1.07 1.32 0.00 1.08 1.11 1.14

time (sec)

N/A 0.381 0.014 0.560 0.117 0.120 0.000 0.106 0.227 2.464

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

109 134 113 68 109 943 0 110 252 122

N.S.

1 1.23 1.04 0.62 1.00 8.65 0.00 1.01 2.31 1.12

time (sec)

N/A 0.295 1.231 0.618 0.118 0.119 0.000 0.113 0.258 2.517

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

107 109 81 70 0 406 0 328 230 163

N.S.

1 1.02 0.76 0.65 0.00 3.79 0.00 3.07 2.15 1.52

time (sec)

N/A 0.305 0.056 0.944 0.000 0.103 0.000 0.107 0.274 2.437

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 155 107 215 0 1604 0 456 5067 280

N.S.

1 1.00 0.69 1.39 0.00 10.35 0.00 2.94 32.69 1.81

time (sec)

N/A 0.386 0.127 1.077 0.000 0.119 0.000 0.113 0.267 24.354

Problem 239

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

167 167 205 0 0 0 0 0 0 0

N.S.

1 1.00 1.23 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.464 1.660 0.000 0.000 0.000 0.000 0.000 0.265 0.000

Problem 240

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

117 117 169 0 0 0 0 0 439 0

N.S.

1 1.00 1.44 0.00 0.00 0.00 0.00 0.00 3.75 0.00

time (sec)

N/A 0.372 0.830 0.000 0.000 0.000 0.000 0.000 0.263 0.000

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 67 141 0 0 0 0 0 46 0

N.S.

1 1.00 2.10 0.00 0.00 0.00 0.00 0.00 0.69 0.00

time (sec)

N/A 0.286 0.176 0.000 0.000 0.000 0.000 0.000 0.244 0.000

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 134 0 0 0 0 0 46 0

N.S.

1 1.00 2.06 0.00 0.00 0.00 0.00 0.00 0.71 0.00

time (sec)

N/A 0.290 0.777 0.000 0.000 0.000 0.000 0.000 0.224 0.000

Problem 243

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

113 113 164 0 0 0 0 0 440 0

N.S.

1 1.00 1.45 0.00 0.00 0.00 0.00 0.00 3.89 0.00

time (sec)

N/A 0.571 0.606 0.000 0.000 0.000 0.000 0.000 0.249 0.000

Problem 244

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

161 161 210 0 0 0 0 0 0 0

N.S.

1 1.00 1.30 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.686 1.122 0.000 0.000 0.000 0.000 0.000 0.316 0.000

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

311 161 133 195 145 1226 0 193 248 0

N.S.

1 0.52 0.43 0.63 0.47 3.94 0.00 0.62 0.80 0.00

time (sec)

N/A 1.525 0.175 1.982 0.138 0.104 0.000 0.134 0.227 0.000

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

193 103 104 131 90 458 0 137 139 0

N.S.

1 0.53 0.54 0.68 0.47 2.37 0.00 0.71 0.72 0.00

time (sec)

N/A 0.486 0.124 1.613 0.141 0.107 0.000 0.134 0.257 0.000

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 53 51 218 35 53 0 63 31 0

N.S.

1 0.64 0.61 2.63 0.42 0.64 0.00 0.76 0.37 0.00

time (sec)

N/A 0.356 0.039 1.884 0.129 0.099 0.000 0.118 0.252 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 53 51 48 56 70 0 99 58 0

N.S.

1 0.64 0.61 0.58 0.67 0.84 0.00 1.19 0.70 0.00

time (sec)

N/A 0.390 0.088 1.195 0.139 0.092 0.000 0.128 0.235 0.000

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

197 107 334 131 112 613 0 176 303 0

N.S.

1 0.54 1.70 0.66 0.57 3.11 0.00 0.89 1.54 0.00

time (sec)

N/A 0.888 7.135 1.675 0.159 0.109 0.000 0.134 0.261 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

319 169 164 195 167 1617 0 230 830 0

N.S.

1 0.53 0.51 0.61 0.52 5.07 0.00 0.72 2.60 0.00

time (sec)

N/A 1.764 11.478 1.831 0.137 0.112 0.000 0.143 0.282 0.000

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

157 137 124 118 0 697 0 0 11 0

N.S.

1 0.87 0.79 0.75 0.00 4.44 0.00 0.00 0.07 0.00

time (sec)

N/A 1.004 0.382 1.779 0.000 0.126 0.000 0.000 0.243 0.000

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 101 88 88 0 230 0 0 11 0

N.S.

1 0.88 0.77 0.77 0.00 2.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.646 0.327 0.860 0.000 0.115 0.000 0.000 0.233 0.000

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 69 59 58 0 215 0 0 9 0

N.S.

1 0.90 0.77 0.75 0.00 2.79 0.00 0.00 0.12 0.00

time (sec)

N/A 0.353 0.132 0.555 0.000 0.106 0.000 0.000 0.230 0.000

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

7 7 9 0 9 9 8 9 9 11

N.S.

1 1.00 1.29 0.00 1.29 1.29 1.14 1.29 1.29 1.57

time (sec)

N/A 0.324 1.907 0.000 0.470 0.100 10.144 0.177 0.273 3.199

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

157 137 124 118 0 698 0 0 11 0

N.S.

1 0.87 0.79 0.75 0.00 4.45 0.00 0.00 0.07 0.00

time (sec)

N/A 0.608 0.459 1.716 0.000 0.141 0.000 0.000 0.271 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

115 101 88 88 0 230 0 0 11 0

N.S.

1 0.88 0.77 0.77 0.00 2.00 0.00 0.00 0.10 0.00

time (sec)

N/A 0.682 0.368 0.839 0.000 0.093 0.000 0.000 0.264 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 69 62 58 0 216 0 0 9 0

N.S.

1 0.90 0.81 0.75 0.00 2.81 0.00 0.00 0.12 0.00

time (sec)

N/A 0.588 0.130 0.566 0.000 0.102 0.000 0.000 0.290 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

7 7 9 0 9 9 8 9 9 11

N.S.

1 1.00 1.29 0.00 1.29 1.29 1.14 1.29 1.29 1.57

time (sec)

N/A 0.532 3.648 0.000 0.215 0.096 2.013 0.191 0.244 2.852