Integrals 201 to 300

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 Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

40 40 37 41 102 370 133 82 60

N.S.

1 1.00 0.92 1.02 2.55 9.25 3.32 2.05 1.50

time (sec)

N/A 0.041 0.049 6.092 0.212 0.288 0.273 0.269 1.449

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 502 101 100 362 0 97 132

N.S.

1 1.00 8.10 1.63 1.61 5.84 0.00 1.56 2.13

time (sec)

N/A 0.076 1.398 2.178 0.317 0.308 0.000 0.290 1.437

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 13 14 13 51 19 22 14

N.S.

1 1.00 1.00 1.08 1.00 3.92 1.46 1.69 1.08

time (sec)

N/A 0.018 0.020 1.356 0.234 0.293 0.189 0.271 0.106

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 79 121 123 149 383 0 186 186

N.S.

1 1.00 1.53 1.56 1.89 4.85 0.00 2.35 2.35

time (sec)

N/A 0.074 0.326 13.925 0.320 0.314 0.000 0.267 2.567

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

93 93 94 138 215 802 0 167 302

N.S.

1 1.00 1.01 1.48 2.31 8.62 0.00 1.80 3.25

time (sec)

N/A 0.121 0.197 50.269 0.290 0.299 0.000 0.301 1.741

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 136 260 211 375 2615 0 295 519

N.S.

1 1.00 1.91 1.55 2.76 19.23 0.00 2.17 3.82

time (sec)

N/A 0.113 1.519 95.750 0.303 0.330 0.000 0.276 6.083

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 144 137 266 490 3044 0 287 476

N.S.

1 1.00 0.95 1.85 3.40 21.14 0.00 1.99 3.31

time (sec)

N/A 0.208 0.354 179.319 0.325 0.322 0.000 0.283 1.813

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 31 96 63 413 86 107 53 231

N.S.

1 1.00 3.10 2.03 13.32 2.77 3.45 1.71 7.45

time (sec)

N/A 0.050 0.133 13.366 0.233 0.290 0.100 0.263 1.922

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 42 67 95 151 99 92 113

N.S.

1 1.00 1.17 1.86 2.64 4.19 2.75 2.56 3.14

time (sec)

N/A 0.057 0.066 9.066 0.222 0.287 0.112 0.263 1.621

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 67 37 109 38 46 29 80

N.S.

1 1.00 2.91 1.61 4.74 1.65 2.00 1.26 3.48

time (sec)

N/A 0.047 0.090 5.965 0.234 0.327 0.072 0.275 1.403

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 20 31 42 55 32 53 29

N.S.

1 1.00 0.77 1.19 1.62 2.12 1.23 2.04 1.12

time (sec)

N/A 0.036 0.017 4.032 0.232 0.289 0.066 0.271 0.177

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 17 21 28 17 19 23 24

N.S.

1 1.00 0.89 1.11 1.47 0.89 1.00 1.21 1.26

time (sec)

N/A 0.021 0.010 4.119 0.220 0.275 0.090 0.278 1.313

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 41 23 27 37 22 24 28

N.S.

1 1.00 3.42 1.92 2.25 3.08 1.83 2.00 2.33

time (sec)

N/A 0.028 0.076 6.122 0.225 0.276 0.071 0.264 0.187

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 15 24 67 31 32 23 25

N.S.

1 1.00 1.00 1.60 4.47 2.07 2.13 1.53 1.67

time (sec)

N/A 0.039 0.010 9.270 0.219 0.297 0.065 0.277 1.300

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 111 46 61 90 61 44 74

N.S.

1 1.00 4.27 1.77 2.35 3.46 2.35 1.69 2.85

time (sec)

N/A 0.053 0.053 13.286 0.219 0.293 0.100 0.263 0.330

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 33 45 205 63 70 51 44

N.S.

1 1.00 1.43 1.96 8.91 2.74 3.04 2.22 1.91

time (sec)

N/A 0.052 0.010 17.705 0.201 0.263 0.091 0.279 1.344

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 175 65 91 144 100 62 124

N.S.

1 1.00 4.86 1.81 2.53 4.00 2.78 1.72 3.44

time (sec)

N/A 0.065 0.080 25.379 0.198 0.269 0.127 0.282 1.692

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 112 69 573 104 128 65 395

N.S.

1 1.00 2.38 1.47 12.19 2.21 2.72 1.38 8.40

time (sec)

N/A 0.080 0.165 28.339 0.206 0.271 0.134 0.270 4.900

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 52 76 115 197 129 102 209

N.S.

1 1.00 0.79 1.15 1.74 2.98 1.95 1.55 3.17

time (sec)

N/A 0.044 0.105 20.248 0.196 0.277 0.131 0.263 2.275

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 84 43 197 56 66 41 139

N.S.

1 1.00 2.27 1.16 5.32 1.51 1.78 1.11 3.76

time (sec)

N/A 0.074 0.144 13.904 0.218 0.262 0.095 0.276 0.313

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 29 36 61 94 58 66 99

N.S.

1 1.00 0.81 1.00 1.69 2.61 1.61 1.83 2.75

time (sec)

N/A 0.024 0.028 9.282 0.192 0.267 0.099 0.261 1.608

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 25 25 31 48 54 36 33 49

N.S.

1 1.00 1.00 1.24 1.92 2.16 1.44 1.32 1.96

time (sec)

N/A 0.025 0.022 8.642 0.220 0.271 0.088 0.266 0.312

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 66 35 53 78 49 48 60

N.S.

1 1.00 2.54 1.35 2.04 3.00 1.88 1.85 2.31

time (sec)

N/A 0.045 0.173 14.276 0.224 0.310 0.102 0.273 1.483

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 29 45 63 70 53 54 56

N.S.

1 1.00 1.00 1.55 2.17 2.41 1.83 1.86 1.93

time (sec)

N/A 0.032 0.020 21.470 0.216 0.286 0.109 0.271 0.271

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 107 56 67 100 66 50 111

N.S.

1 1.00 3.82 2.00 2.39 3.57 2.36 1.79 3.96

time (sec)

N/A 0.062 0.092 31.665 0.220 0.280 0.122 0.266 0.223

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 27 41 171 59 65 38 40

N.S.

1 1.00 1.00 1.52 6.33 2.19 2.41 1.41 1.48

time (sec)

N/A 0.027 0.011 43.296 0.211 0.277 0.102 0.277 1.344

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 48 175 74 103 160 114 74 246

N.S.

1 1.00 3.65 1.54 2.15 3.33 2.38 1.54 5.12

time (sec)

N/A 0.062 0.107 61.777 0.219 0.280 0.156 0.274 1.509

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 124 108 171 241 1199 0 197 654

N.S.

1 1.00 0.87 1.38 1.94 9.67 0.00 1.59 5.27

time (sec)

N/A 0.123 0.315 1.907 0.307 0.289 0.000 0.293 2.242

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 153 166 160 655 0 211 291

N.S.

1 1.00 1.74 1.89 1.82 7.44 0.00 2.40 3.31

time (sec)

N/A 0.120 0.144 0.911 0.304 0.302 0.000 0.292 3.086

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 69 69 84 89 257 0 87 330

N.S.

1 1.00 1.00 1.22 1.29 3.72 0.00 1.26 4.78

time (sec)

N/A 0.062 0.187 0.753 0.322 0.283 0.000 0.283 1.655

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 48 56 73 66 57 0 89 95

N.S.

1 1.00 1.17 1.52 1.38 1.19 0.00 1.85 1.98

time (sec)

N/A 0.048 0.046 0.507 0.329 0.298 0.000 0.273 2.140

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 20 33 46 40 0 39 195

N.S.

1 1.00 1.00 1.65 2.30 2.00 0.00 1.95 9.75

time (sec)

N/A 0.030 0.009 0.484 0.281 0.278 0.000 0.280 0.422

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 56 89 81 97 228 0 95 304

N.S.

1 1.00 1.59 1.45 1.73 4.07 0.00 1.70 5.43

time (sec)

N/A 0.152 0.238 0.684 0.331 0.296 0.000 0.273 1.555

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 52 45 98 116 427 0 125 1163

N.S.

1 1.00 0.87 1.88 2.23 8.21 0.00 2.40 22.37

time (sec)

N/A 0.061 0.046 0.885 0.252 0.285 0.000 0.274 1.975

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 197 169 212 1303 0 194 778

N.S.

1 1.00 1.82 1.56 1.96 12.06 0.00 1.80 7.20

time (sec)

N/A 0.269 0.369 1.472 0.318 0.339 0.000 0.274 2.140

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

224 224 144 245 523 3534 0 292 543

N.S.

1 1.00 0.64 1.09 2.33 15.78 0.00 1.30 2.42

time (sec)

N/A 0.305 0.306 2.697 0.351 0.321 0.000 0.306 2.022

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

135 135 150 237 375 2850 0 307 501

N.S.

1 1.00 1.11 1.76 2.78 21.11 0.00 2.27 3.71

time (sec)

N/A 0.270 0.519 1.413 0.343 0.352 0.000 0.296 4.842

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 144 100 142 223 900 0 181 377

N.S.

1 1.00 0.69 0.99 1.55 6.25 0.00 1.26 2.62

time (sec)

N/A 0.180 0.237 0.862 0.328 0.287 0.000 0.318 1.885

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 146 136 155 423 0 199 190

N.S.

1 1.00 1.72 1.60 1.82 4.98 0.00 2.34 2.24

time (sec)

N/A 0.074 0.179 0.679 0.335 0.288 0.000 0.286 2.554

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 27 57 75 158 0 75 240

N.S.

1 1.00 0.84 1.78 2.34 4.94 0.00 2.34 7.50

time (sec)

N/A 0.036 0.039 1.114 0.243 0.290 0.000 0.274 1.679

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 112 118 165 1257 0 148 897

N.S.

1 1.00 1.40 1.48 2.06 15.71 0.00 1.85 11.21

time (sec)

N/A 0.272 0.447 2.055 0.326 0.316 0.000 0.283 2.583

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 73 142 202 1463 0 190 1375

N.S.

1 1.00 0.96 1.87 2.66 19.25 0.00 2.50 18.09

time (sec)

N/A 0.076 0.151 3.468 0.222 0.303 0.000 0.288 2.381

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 159 235 221 339 3648 0 242 1450

N.S.

1 1.00 1.48 1.39 2.13 22.94 0.00 1.52 9.12

time (sec)

N/A 0.449 0.637 4.995 0.294 0.352 0.000 0.292 2.284

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 37 21 0 356 0 0 0

N.S.

1 1.00 1.00 0.57 0.00 9.62 0.00 0.00 0.00

time (sec)

N/A 0.045 0.017 1.857 0.000 0.451 0.000 0.000 0.000

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 24 17 0 370 0 0 0

N.S.

1 1.00 1.00 0.71 0.00 15.42 0.00 0.00 0.00

time (sec)

N/A 0.039 0.011 0.914 0.000 0.333 0.000 0.000 0.000

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 59 49 68 170 517 87 198

N.S.

1 1.00 1.16 0.96 1.33 3.33 10.14 1.71 3.88

time (sec)

N/A 0.091 0.078 1.651 0.293 0.300 15.127 0.274 3.516

Problem 247

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

25 25 48 23 19 36 20 22 24

N.S.

1 1.00 1.92 0.92 0.76 1.44 0.80 0.88 0.96

time (sec)

N/A 0.056 0.131 1.126 0.203 0.270 0.082 0.269 0.139

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 81 24 20 35 20 21 23

N.S.

1 1.00 3.00 0.89 0.74 1.30 0.74 0.78 0.85

time (sec)

N/A 0.061 0.383 0.809 0.205 0.263 0.081 0.259 0.120

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 89 149 117 125 172 0 123 914

N.S.

1 1.00 1.67 1.31 1.40 1.93 0.00 1.38 10.27

time (sec)

N/A 0.127 0.649 0.581 0.327 1.187 0.000 0.287 9.686

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 65 73 106 183 0 102 164

N.S.

1 1.00 1.08 1.22 1.77 3.05 0.00 1.70 2.73

time (sec)

N/A 0.106 1.399 0.885 0.329 0.293 0.000 0.304 12.324

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 89 93 102 125 172 0 123 864

N.S.

1 1.00 1.04 1.15 1.40 1.93 0.00 1.38 9.71

time (sec)

N/A 0.180 0.271 1.880 0.324 1.889 0.000 0.282 11.666

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 58 77 58 141 172 0 90 539

N.S.

1 1.00 1.33 1.00 2.43 2.97 0.00 1.55 9.29

time (sec)

N/A 0.101 1.127 0.934 0.331 0.497 0.000 0.296 2.216

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

81 81 85 111 176 249 1318 127 656

N.S.

1 1.00 1.05 1.37 2.17 3.07 16.27 1.57 8.10

time (sec)

N/A 0.120 2.328 2.624 0.323 0.285 18.115 0.291 2.634

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 113 113 151 339 570 0 170 279

N.S.

1 1.00 1.00 1.34 3.00 5.04 0.00 1.50 2.47

time (sec)

N/A 0.126 1.338 3.279 0.352 0.269 0.000 0.309 1.969

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

180 180 170 370 726 1880 0 405 0

N.S.

1 1.00 0.94 2.06 4.03 10.44 0.00 2.25 0.00

time (sec)

N/A 0.197 1.542 15.393 0.335 0.297 0.000 0.327 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

250 250 235 699 1263 4350 0 685 0

N.S.

1 1.00 0.94 2.80 5.05 17.40 0.00 2.74 0.00

time (sec)

N/A 0.306 1.832 75.691 0.339 0.397 0.000 0.347 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

439 439 598 919 0 1655 0 0 0

N.S.

1 1.00 1.36 2.09 0.00 3.77 0.00 0.00 0.00

time (sec)

N/A 0.493 0.510 1.735 0.000 0.300 0.000 0.000 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

327 327 448 710 0 1247 0 0 0

N.S.

1 1.00 1.37 2.17 0.00 3.81 0.00 0.00 0.00

time (sec)

N/A 0.387 0.343 0.133 0.000 0.302 0.000 0.000 0.000

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

215 215 294 505 0 837 0 0 0

N.S.

1 1.00 1.37 2.35 0.00 3.89 0.00 0.00 0.00

time (sec)

N/A 0.224 0.247 0.112 0.000 0.322 0.000 0.000 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 41 47 42 67 0 42 0

N.S.

1 1.00 0.87 1.00 0.89 1.43 0.00 0.89 0.00

time (sec)

N/A 0.312 0.097 3.306 0.285 0.254 0.000 0.279 0.000

Problem 261

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

58 58 55 0 0 0 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.078 0.057 0.000 0.000 0.000 0.000 0.000 0.000

Problem 262

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

58 58 57 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 0.054 0.031 0.000 0.000 0.000 0.000 0.000 0.000

Problem 263

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

26 26 26 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 0.029 0.023 0.000 0.000 0.000 0.000 0.000 0.000

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

34 34 36 32 35 34 48 34 35

N.S.

1 1.00 1.06 0.94 1.03 1.00 1.41 1.00 1.03

time (sec)

N/A 0.028 12.930 0.880 0.329 0.272 10.068 0.431 1.398

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

36 36 38 32 187 34 51 34 35

N.S.

1 1.00 1.06 0.89 5.19 0.94 1.42 0.94 0.97

time (sec)

N/A 0.055 44.088 0.520 0.346 0.258 34.708 0.600 1.524

Problem 266

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

54 54 41 42 52 44 0 47 43

N.S.

1 1.00 0.76 0.78 0.96 0.81 0.00 0.87 0.80

time (sec)

N/A 0.009 0.045 0.920 0.243 0.261 0.000 0.269 1.376

Problem 267

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

88 88 55 58 67 91 0 169 53

N.S.

1 1.00 0.62 0.66 0.76 1.03 0.00 1.92 0.60

time (sec)

N/A 0.015 0.067 2.711 0.234 0.278 0.000 0.283 1.371

Problem 268

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

149 149 120 166 114 200 0 665 93

N.S.

1 1.00 0.81 1.11 0.77 1.34 0.00 4.46 0.62

time (sec)

N/A 0.029 0.337 5.521 0.256 0.271 0.000 0.302 1.408

Problem 269

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

191 191 167 132 129 294 0 777 102

N.S.

1 1.00 0.87 0.69 0.68 1.54 0.00 4.07 0.53

time (sec)

N/A 0.037 0.307 14.180 0.232 0.263 0.000 0.322 1.449

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F A A F B B

verified

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

size

73 74 54 0 64 98 0 235 56

N.S.

1 1.01 0.74 0.00 0.88 1.34 0.00 3.22 0.77

time (sec)

N/A 0.020 0.093 0.000 0.214 0.265 0.000 0.294 1.448

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F A A F B B

verified

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

size

120 122 89 0 87 248 0 758 74

N.S.

1 1.02 0.74 0.00 0.72 2.07 0.00 6.32 0.62

time (sec)

N/A 0.033 0.198 0.000 0.203 0.264 0.000 0.293 1.502

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F A B F B B

verified

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

size

203 203 292 0 138 585 0 3225 118

N.S.

1 1.00 1.44 0.00 0.68 2.88 0.00 15.89 0.58

time (sec)

N/A 0.074 0.952 0.000 0.227 0.273 0.000 0.351 1.576

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F A B F B B

verified

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

size

266 267 311 0 161 1125 0 6884 136

N.S.

1 1.00 1.17 0.00 0.61 4.23 0.00 25.88 0.51

time (sec)

N/A 0.097 2.502 0.000 0.255 0.316 0.000 0.424 1.602

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 37 19 18 19 34 40 18

N.S.

1 1.00 2.06 1.06 1.00 1.06 1.89 2.22 1.00

time (sec)

N/A 0.012 0.008 1.714 0.203 0.255 0.211 0.263 1.415

Problem 275

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

39 39 36 30 49 40 0 81 32

N.S.

1 1.00 0.92 0.77 1.26 1.03 0.00 2.08 0.82

time (sec)

N/A 0.021 0.017 1.704 0.214 0.263 0.000 0.269 1.447

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 45 36 86 65 71 81 37

N.S.

1 1.00 1.05 0.84 2.00 1.51 1.65 1.88 0.86

time (sec)

N/A 0.026 0.008 6.646 0.230 0.271 1.163 0.280 1.472

Problem 277

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

73 73 51 46 93 84 0 114 51

N.S.

1 1.00 0.70 0.63 1.27 1.15 0.00 1.56 0.70

time (sec)

N/A 0.033 0.030 21.055 0.201 0.275 0.000 0.277 1.553

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 68 51 130 130 105 115 49

N.S.

1 1.00 1.05 0.78 2.00 2.00 1.62 1.77 0.75

time (sec)

N/A 0.030 0.011 74.458 0.228 0.271 7.172 0.291 1.589

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 96 227 0 331 0 0 0

N.S.

1 1.00 0.86 2.05 0.00 2.98 0.00 0.00 0.00

time (sec)

N/A 0.043 0.056 6.447 0.000 0.104 0.000 0.000 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 114 143 0 171 0 0 0

N.S.

1 1.00 1.03 1.29 0.00 1.54 0.00 0.00 0.00

time (sec)

N/A 0.043 0.094 0.998 0.000 0.095 0.000 0.000 0.000

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 72 68 146 0 58 0 0 0

N.S.

1 1.00 0.94 2.03 0.00 0.81 0.00 0.00 0.00

time (sec)

N/A 0.030 0.021 0.805 0.000 0.091 0.000 0.000 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 72 66 120 0 39 0 0 0

N.S.

1 1.00 0.92 1.67 0.00 0.54 0.00 0.00 0.00

time (sec)

N/A 0.030 0.026 0.709 0.000 0.090 0.000 0.000 0.000

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 107 80 212 0 246 0 0 0

N.S.

1 1.00 0.75 1.98 0.00 2.30 0.00 0.00 0.00

time (sec)

N/A 0.040 0.036 0.823 0.000 0.099 0.000 0.000 0.000

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 122 144 0 504 0 0 0

N.S.

1 1.00 1.10 1.30 0.00 4.54 0.00 0.00 0.00

time (sec)

N/A 0.041 0.079 0.856 0.000 0.101 0.000 0.000 0.000

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

209 209 86 0 0 162 0 203 0

N.S.

1 1.00 0.41 0.00 0.00 0.78 0.00 0.97 0.00

time (sec)

N/A 0.113 0.227 0.000 0.000 0.288 0.000 0.423 0.000

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

103 103 74 0 0 117 0 0 0

N.S.

1 1.00 0.72 0.00 0.00 1.14 0.00 0.00 0.00

time (sec)

N/A 0.064 0.189 0.000 0.000 0.268 0.000 0.000 0.000

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

43 43 61 0 0 68 0 41 0

N.S.

1 1.00 1.42 0.00 0.00 1.58 0.00 0.95 0.00

time (sec)

N/A 0.038 0.097 0.000 0.000 0.263 0.000 0.543 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

103 103 121 0 0 128 0 81 0

N.S.

1 1.00 1.17 0.00 0.00 1.24 0.00 0.79 0.00

time (sec)

N/A 0.058 0.160 0.000 0.000 0.260 0.000 0.579 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 36 38 0 48 0 102 0

N.S.

1 1.00 1.00 1.06 0.00 1.33 0.00 2.83 0.00

time (sec)

N/A 0.034 0.016 1.643 0.000 0.275 0.000 0.284 0.000

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

39 39 37 50 0 73 0 97 0

N.S.

1 1.00 0.95 1.28 0.00 1.87 0.00 2.49 0.00

time (sec)

N/A 0.045 0.033 0.461 0.000 0.260 0.000 0.328 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 54 74 0 118 0 167 0

N.S.

1 1.00 0.92 1.25 0.00 2.00 0.00 2.83 0.00

time (sec)

N/A 0.061 0.046 0.531 0.000 0.277 0.000 0.365 0.000

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 74 93 113 0 253 0 0 0

N.S.

1 1.00 1.26 1.53 0.00 3.42 0.00 0.00 0.00

time (sec)

N/A 0.091 0.177 1.087 0.000 0.274 0.000 0.000 0.000

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 115 120 0 277 0 0 0

N.S.

1 1.00 1.44 1.50 0.00 3.46 0.00 0.00 0.00

time (sec)

N/A 0.104 0.233 6.919 0.000 0.272 0.000 0.000 0.000

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

143 143 232 250 0 701 0 0 0

N.S.

1 1.00 1.62 1.75 0.00 4.90 0.00 0.00 0.00

time (sec)

N/A 0.173 0.440 3.347 0.000 0.278 0.000 0.000 0.000

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 101 302 347 0 171 0 764 0

N.S.

1 1.00 2.99 3.44 0.00 1.69 0.00 7.56 0.00

time (sec)

N/A 0.130 0.512 1.076 0.000 0.283 0.000 1.899 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 107 475 358 0 370 0 749 0

N.S.

1 1.00 4.44 3.35 0.00 3.46 0.00 7.00 0.00

time (sec)

N/A 0.135 2.958 7.666 0.000 0.264 0.000 8.411 0.000

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

194 194 651 700 0 717 0 1383 0

N.S.

1 1.00 3.36 3.61 0.00 3.70 0.00 7.13 0.00

time (sec)

N/A 0.252 5.816 1.886 0.000 0.282 0.000 9.575 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 363 463 0 202 0 1624 0

N.S.

1 1.00 3.00 3.83 0.00 1.67 0.00 13.42 0.00

time (sec)

N/A 0.190 1.587 1.664 0.000 0.286 0.000 5.020 0.000

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 572 472 0 477 0 1596 0

N.S.

1 1.00 4.43 3.66 0.00 3.70 0.00 12.37 0.00

time (sec)

N/A 0.197 3.562 9.178 0.000 0.277 0.000 22.527 0.000

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

226 226 913 930 0 942 0 3021 0

N.S.

1 1.00 4.04 4.12 0.00 4.17 0.00 13.37 0.00

time (sec)

N/A 0.334 6.484 2.496 0.000 0.285 0.000 27.948 0.000