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2.2.14 Integrals 1301 to 1400

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 1301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 169 144 45 144 905 36 112 196

N.S.

1 0.91 0.78 0.24 0.78 4.89 0.19 0.61 1.06

time (sec)

N/A 0.368 0.075 4.526 0.283 0.959 0.537 0.297 5.817

Problem 1302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 170 144 34 124 637 36 112 197

N.S.

1 0.92 0.78 0.18 0.67 3.44 0.19 0.61 1.06

time (sec)

N/A 0.371 0.081 4.506 0.300 0.982 0.839 0.301 6.655

Problem 1303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 170 144 40 124 980 36 112 200

N.S.

1 0.92 0.78 0.22 0.67 5.30 0.19 0.61 1.08

time (sec)

N/A 0.353 0.053 4.539 0.276 0.944 0.488 0.296 0.266

Problem 1304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 169 144 32 144 539 34 112 182

N.S.

1 1.01 0.86 0.19 0.86 3.21 0.20 0.67 1.08

time (sec)

N/A 0.353 0.045 4.493 0.289 0.926 0.790 0.285 5.825

Problem 1305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

190 176 149 50 149 1073 39 132 203

N.S.

1 0.93 0.78 0.26 0.78 5.65 0.21 0.69 1.07

time (sec)

N/A 0.369 0.098 4.436 0.317 1.235 0.897 0.281 5.743

Problem 1306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

192 177 149 43 129 692 42 132 200

N.S.

1 0.92 0.78 0.22 0.67 3.60 0.22 0.69 1.04

time (sec)

N/A 0.356 0.139 4.535 0.315 0.958 0.499 0.291 6.274

Problem 1307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

192 177 150 39 129 1174 42 132 207

N.S.

1 0.92 0.78 0.20 0.67 6.11 0.22 0.69 1.08

time (sec)

N/A 0.353 0.134 4.540 0.310 0.976 0.875 0.302 0.273

Problem 1308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

83 87 72 0 124 172 0 58 0

N.S.

1 1.05 0.87 0.00 1.49 2.07 0.00 0.70 0.00

time (sec)

N/A 0.232 1.823 0.000 0.301 0.645 0.000 0.308 0.000

Problem 1309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

57 55 58 0 81 136 49 44 0

N.S.

1 0.96 1.02 0.00 1.42 2.39 0.86 0.77 0.00

time (sec)

N/A 0.202 0.393 0.000 0.297 0.626 93.976 0.321 0.000

Problem 1310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 30 33 0 45 97 24 25 0

N.S.

1 0.94 1.03 0.00 1.41 3.03 0.75 0.78 0.00

time (sec)

N/A 0.175 0.510 0.000 0.318 0.615 0.725 0.300 0.000

Problem 1311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 23 18 17 17 22 23 0

N.S.

1 1.00 1.00 0.78 0.74 0.74 0.96 1.00 0.00

time (sec)

N/A 0.146 0.360 4.425 0.191 0.291 2.379 0.289 0.000

Problem 1312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 48 31 26 35 27 0 38 0

N.S.

1 1.00 0.65 0.54 0.73 0.56 0.00 0.79 0.00

time (sec)

N/A 0.168 1.799 4.346 0.196 0.276 0.000 0.295 0.000

Problem 1313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 52 46 38 86 46 0 36 0

N.S.

1 1.11 0.98 0.81 1.83 0.98 0.00 0.77 0.00

time (sec)

N/A 0.192 1.452 4.694 0.204 0.304 0.000 0.305 0.000

Problem 1314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 39 30 58 35 22 29 0

N.S.

1 1.00 1.34 1.03 2.00 1.21 0.76 1.00 0.00

time (sec)

N/A 0.166 0.245 4.589 0.188 0.332 101.721 0.298 0.000

Problem 1315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

10 10 20 7 33 22 8 16 0

N.S.

1 1.00 2.00 0.70 3.30 2.20 0.80 1.60 0.00

time (sec)

N/A 0.150 0.345 4.384 0.200 0.305 0.623 0.296 0.000

Problem 1316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 18 13 12 12 14 11 0

N.S.

1 1.00 1.00 0.72 0.67 0.67 0.78 0.61 0.00

time (sec)

N/A 0.139 0.249 4.372 0.193 0.266 2.356 0.290 0.000

Problem 1317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 25 20 25 19 0 0 0

N.S.

1 1.00 0.68 0.54 0.68 0.51 0.00 0.00 0.00

time (sec)

N/A 0.152 1.217 4.355 0.189 0.309 0.000 0.000 0.000

Problem 1318

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

40 39 40 32 31 89 63 31 28

N.S.

1 0.98 1.00 0.80 0.78 2.22 1.58 0.78 0.70

time (sec)

N/A 0.164 0.019 4.437 0.277 0.264 0.130 0.267 0.054

Problem 1319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 135 186 36 115 114 27 120 130

N.S.

1 1.02 1.40 0.27 0.86 0.86 0.20 0.90 0.98

time (sec)

N/A 0.318 0.057 4.513 0.280 0.307 0.107 0.287 5.631

Problem 1320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

220 222 182 34 194 212 22 180 227

N.S.

1 1.01 0.83 0.15 0.88 0.96 0.10 0.82 1.03

time (sec)

N/A 0.463 0.037 4.425 0.285 0.304 0.090 0.274 5.553

Problem 1321

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

15 15 15 14 13 13 10 14 13

N.S.

1 1.00 1.00 0.93 0.87 0.87 0.67 0.93 0.87

time (sec)

N/A 0.146 0.006 4.537 0.190 0.284 0.099 0.406 0.044

Problem 1322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

215 220 154 27 184 248 26 190 134

N.S.

1 1.02 0.72 0.13 0.86 1.15 0.12 0.88 0.62

time (sec)

N/A 0.423 0.022 4.454 0.292 0.290 0.077 0.441 0.189

Problem 1323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 126 154 29 104 318 26 118 118

N.S.

1 1.02 1.25 0.24 0.85 2.59 0.21 0.96 0.96

time (sec)

N/A 0.285 0.020 4.422 0.274 0.301 0.091 0.370 5.725

Problem 1324

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

29 29 29 19 18 72 56 18 19

N.S.

1 1.00 1.00 0.66 0.62 2.48 1.93 0.62 0.66

time (sec)

N/A 0.157 0.008 4.461 0.284 0.291 0.104 0.363 0.056

Problem 1325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 121 154 27 104 313 22 118 105

N.S.

1 0.98 1.25 0.22 0.85 2.54 0.18 0.96 0.85

time (sec)

N/A 0.285 0.026 4.444 0.294 0.309 0.096 0.288 5.625

Problem 1326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

215 210 154 27 184 216 20 190 219

N.S.

1 0.98 0.72 0.13 0.86 1.00 0.09 0.88 1.02

time (sec)

N/A 0.406 0.021 4.381 0.299 0.293 0.080 0.280 0.157

Problem 1327

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

22 26 22 21 23 18 15 24 18

N.S.

1 1.18 1.00 0.95 1.05 0.82 0.68 1.09 0.82

time (sec)

N/A 0.158 0.008 4.483 0.222 0.362 0.171 0.281 5.663

Problem 1328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 235 189 50 198 257 29 196 149

N.S.

1 1.05 0.85 0.22 0.89 1.15 0.13 0.88 0.67

time (sec)

N/A 0.439 0.046 4.629 0.329 0.290 0.102 0.321 5.613

Problem 1329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 141 203 55 112 115 34 127 116

N.S.

1 1.06 1.53 0.41 0.84 0.86 0.26 0.95 0.87

time (sec)

N/A 0.310 0.036 4.535 0.308 0.281 0.127 0.277 5.542

Problem 1330

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

40 40 101 32 31 90 71 31 28

N.S.

1 1.00 2.52 0.80 0.78 2.25 1.78 0.78 0.70

time (sec)

N/A 0.163 0.023 4.395 0.311 0.269 0.147 0.280 5.394

Problem 1331

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

49 53 49 40 40 128 83 39 37

N.S.

1 1.08 1.00 0.82 0.82 2.61 1.69 0.80 0.76

time (sec)

N/A 0.172 0.030 4.544 0.355 0.270 0.213 0.272 0.093

Problem 1332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

142 148 197 48 122 409 42 138 118

N.S.

1 1.04 1.39 0.34 0.86 2.88 0.30 0.97 0.83

time (sec)

N/A 0.308 0.119 4.554 0.314 0.331 0.193 0.273 5.567

Problem 1333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

232 235 191 43 205 352 39 205 242

N.S.

1 1.01 0.82 0.19 0.88 1.52 0.17 0.88 1.04

time (sec)

N/A 0.435 0.119 4.541 0.279 0.271 0.165 0.275 5.527

Problem 1334

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

16 16 16 15 14 15 15 14 14

N.S.

1 1.00 1.00 0.94 0.88 0.94 0.94 0.88 0.88

time (sec)

N/A 0.144 0.007 4.395 0.189 0.263 0.134 0.292 0.029

Problem 1335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

234 247 193 48 206 383 46 207 160

N.S.

1 1.06 0.82 0.21 0.88 1.64 0.20 0.88 0.68

time (sec)

N/A 0.438 0.118 4.456 0.289 0.295 0.167 0.318 5.771

Problem 1336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

142 153 195 50 130 416 46 135 146

N.S.

1 1.08 1.37 0.35 0.92 2.93 0.32 0.95 1.03

time (sec)

N/A 0.310 0.106 4.580 0.279 0.280 0.186 0.284 5.807

Problem 1337

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

49 53 49 40 39 128 83 39 37

N.S.

1 1.08 1.00 0.82 0.80 2.61 1.69 0.80 0.76

time (sec)

N/A 0.165 0.032 4.702 0.290 0.286 0.200 0.272 0.088

Problem 1338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

142 148 197 47 130 407 41 135 128

N.S.

1 1.04 1.39 0.33 0.92 2.87 0.29 0.95 0.90

time (sec)

N/A 0.305 0.110 4.396 0.273 0.286 0.178 0.277 5.464

Problem 1339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

232 235 192 46 204 351 39 205 242

N.S.

1 1.01 0.83 0.20 0.88 1.51 0.17 0.88 1.04

time (sec)

N/A 0.419 0.130 4.378 0.274 0.275 0.175 0.277 5.591

Problem 1340

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

38 39 33 35 37 47 34 47 34

N.S.

1 1.03 0.87 0.92 0.97 1.24 0.89 1.24 0.89

time (sec)

N/A 0.186 0.015 4.382 0.185 0.283 0.267 0.276 0.072

Problem 1341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

244 262 205 70 218 396 56 214 169

N.S.

1 1.07 0.84 0.29 0.89 1.62 0.23 0.88 0.69

time (sec)

N/A 0.467 0.172 4.405 0.280 0.281 0.218 0.344 5.536

Problem 1342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

152 168 208 75 134 160 60 147 140

N.S.

1 1.11 1.37 0.49 0.88 1.05 0.39 0.97 0.92

time (sec)

N/A 0.339 0.134 4.410 0.270 0.281 0.242 0.273 5.669

Problem 1343

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

59 67 114 49 53 148 94 51 50

N.S.

1 1.14 1.93 0.83 0.90 2.51 1.59 0.86 0.85

time (sec)

N/A 0.183 0.089 4.426 0.271 0.313 0.266 0.275 0.094

Problem 1344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 14 30 18 22 22 20 24 12

N.S.

1 0.88 1.88 1.12 1.38 1.38 1.25 1.50 0.75

time (sec)

N/A 0.145 0.009 4.394 0.200 0.253 0.045 0.265 0.056

Problem 1345

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

56 60 78 48 43 43 51 44 57

N.S.

1 1.07 1.39 0.86 0.77 0.77 0.91 0.79 1.02

time (sec)

N/A 0.224 0.025 4.434 0.271 0.284 0.064 0.269 5.459

Problem 1346

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

50 80 78 65 68 68 85 70 93

N.S.

1 1.60 1.56 1.30 1.36 1.36 1.70 1.40 1.86

time (sec)

N/A 0.257 0.014 4.564 0.270 0.281 0.125 0.300 5.451

Problem 1347

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

12 12 12 9 8 8 8 9 8

N.S.

1 1.00 1.00 0.75 0.67 0.67 0.67 0.75 0.67

time (sec)

N/A 0.146 0.005 4.385 0.196 0.256 0.038 0.293 0.040

Problem 1348

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

47 79 75 62 65 65 83 67 53

N.S.

1 1.68 1.60 1.32 1.38 1.38 1.77 1.43 1.13

time (sec)

N/A 0.254 0.012 4.406 0.274 0.289 0.131 0.268 5.492

Problem 1349

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

49 56 73 43 38 38 46 39 52

N.S.

1 1.14 1.49 0.88 0.78 0.78 0.94 0.80 1.06

time (sec)

N/A 0.215 0.010 4.468 0.283 0.290 0.063 0.273 0.130

Problem 1350

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

8 8 23 7 17 17 15 19 6

N.S.

1 1.00 2.88 0.88 2.12 2.12 1.88 2.38 0.75

time (sec)

N/A 0.142 0.005 4.387 0.190 0.247 0.044 0.269 5.753

Problem 1351

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

49 55 73 43 38 38 46 39 52

N.S.

1 1.12 1.49 0.88 0.78 0.78 0.94 0.80 1.06

time (sec)

N/A 0.208 0.011 4.400 0.290 0.263 0.065 0.282 5.766

Problem 1352

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

47 77 75 66 65 65 83 67 86

N.S.

1 1.64 1.60 1.40 1.38 1.38 1.77 1.43 1.83

time (sec)

N/A 0.239 0.011 4.400 0.269 0.532 0.130 0.277 0.035

Problem 1353

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

15 19 15 12 15 11 10 16 11

N.S.

1 1.27 1.00 0.80 1.00 0.73 0.67 1.07 0.73

time (sec)

N/A 0.143 0.006 4.409 0.185 0.273 0.052 0.285 5.759

Problem 1354

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

52 84 86 67 70 76 87 72 64

N.S.

1 1.62 1.65 1.29 1.35 1.46 1.67 1.38 1.23

time (sec)

N/A 0.250 0.022 4.522 0.281 0.269 0.139 0.262 5.687

Problem 1355

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

56 61 78 42 43 53 53 44 57

N.S.

1 1.09 1.39 0.75 0.77 0.95 0.95 0.79 1.02

time (sec)

N/A 0.218 0.023 4.428 0.273 0.283 0.081 0.280 0.082

Problem 1356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 14 30 18 22 28 22 24 12

N.S.

1 0.88 1.88 1.12 1.38 1.75 1.38 1.50 0.75

time (sec)

N/A 0.148 0.006 4.404 0.196 0.296 0.058 0.274 0.037

Problem 1357

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

56 62 78 42 43 52 53 44 57

N.S.

1 1.11 1.39 0.75 0.77 0.93 0.95 0.79 1.02

time (sec)

N/A 0.213 0.023 4.398 0.273 0.270 0.081 0.274 0.084

Problem 1358

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

80 84 82 67 70 89 90 72 95

N.S.

1 1.05 1.02 0.84 0.88 1.11 1.12 0.90 1.19

time (sec)

N/A 0.257 0.027 4.408 0.284 0.278 0.142 0.274 5.657

Problem 1359

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

22 24 22 17 20 24 17 26 16

N.S.

1 1.09 1.00 0.77 0.91 1.09 0.77 1.18 0.73

time (sec)

N/A 0.167 0.007 4.405 0.186 0.248 0.060 0.274 5.638

Problem 1360

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

85 91 87 76 77 94 95 79 69

N.S.

1 1.07 1.02 0.89 0.91 1.11 1.12 0.93 0.81

time (sec)

N/A 0.263 0.031 4.432 0.283 0.259 0.148 0.278 5.732

Problem 1361

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

16 14 16 13 12 12 10 12 12

N.S.

1 0.88 1.00 0.81 0.75 0.75 0.62 0.75 0.75

time (sec)

N/A 0.149 0.007 4.572 0.282 0.269 0.043 0.292 0.027

Problem 1362

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

56 59 79 44 45 45 51 45 57

N.S.

1 1.05 1.41 0.79 0.80 0.80 0.91 0.80 1.02

time (sec)

N/A 0.223 0.018 4.439 0.305 0.259 0.065 0.288 5.779

Problem 1363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

81 85 76 31 61 136 70 61 88

N.S.

1 1.05 0.94 0.38 0.75 1.68 0.86 0.75 1.09

time (sec)

N/A 0.278 0.019 4.451 0.286 0.272 0.107 0.275 0.112

Problem 1364

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

10 10 10 9 8 8 7 8 8

N.S.

1 1.00 1.00 0.90 0.80 0.80 0.70 0.80 0.80

time (sec)

N/A 0.140 0.004 4.380 0.198 0.261 0.035 0.267 5.753

Problem 1365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 84 73 33 60 173 68 60 53

N.S.

1 1.05 0.91 0.41 0.75 2.16 0.85 0.75 0.66

time (sec)

N/A 0.272 0.013 4.445 0.278 0.276 0.105 0.283 5.758

Problem 1366

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

49 55 74 39 40 40 46 40 52

N.S.

1 1.12 1.51 0.80 0.82 0.82 0.94 0.82 1.06

time (sec)

N/A 0.218 0.011 4.448 0.303 0.275 0.064 0.275 0.126

Problem 1367

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

8 8 8 7 6 6 5 6 6

N.S.

1 1.00 1.00 0.88 0.75 0.75 0.62 0.75 0.75

time (sec)

N/A 0.141 0.004 4.563 0.280 0.268 0.042 0.267 5.671

Problem 1368

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

49 55 78 41 40 40 46 40 52

N.S.

1 1.12 1.59 0.84 0.82 0.82 0.94 0.82 1.06

time (sec)

N/A 0.215 0.010 4.408 0.309 0.260 0.065 0.287 5.661

Problem 1369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 84 73 28 60 135 68 60 85

N.S.

1 1.05 0.91 0.35 0.75 1.69 0.85 0.75 1.06

time (sec)

N/A 0.259 0.013 4.456 0.295 0.288 0.101 0.271 0.045

Problem 1370

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

13 17 13 12 15 11 10 15 11

N.S.

1 1.31 1.00 0.92 1.15 0.85 0.77 1.15 0.85

time (sec)

N/A 0.144 0.008 4.401 0.199 0.286 0.044 0.284 0.042

Problem 1371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 89 82 38 65 182 71 65 56

N.S.

1 1.05 0.96 0.45 0.76 2.14 0.84 0.76 0.66

time (sec)

N/A 0.275 0.025 4.452 0.283 0.272 0.114 0.273 0.096

Problem 1372

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

56 61 83 44 45 54 53 45 57

N.S.

1 1.09 1.48 0.79 0.80 0.96 0.95 0.80 1.02

time (sec)

N/A 0.222 0.023 4.690 0.292 0.265 0.075 0.287 0.079

Problem 1373

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

16 16 16 13 12 15 14 12 12

N.S.

1 1.00 1.00 0.81 0.75 0.94 0.88 0.75 0.75

time (sec)

N/A 0.147 0.007 4.575 0.294 0.283 0.056 0.274 5.728

Problem 1374

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

56 63 79 44 45 55 53 45 57

N.S.

1 1.12 1.41 0.79 0.80 0.98 0.95 0.80 1.02

time (sec)

N/A 0.223 0.022 4.477 0.278 0.280 0.077 0.274 5.889

Problem 1375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 91 79 35 65 156 75 65 92

N.S.

1 1.05 0.91 0.40 0.75 1.79 0.86 0.75 1.06

time (sec)

N/A 0.269 0.028 4.627 0.300 0.294 0.117 0.265 5.870

Problem 1376

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

22 22 22 19 20 24 17 25 18

N.S.

1 1.00 1.00 0.86 0.91 1.09 0.77 1.14 0.82

time (sec)

N/A 0.161 0.006 4.442 0.195 0.300 0.059 0.284 0.040

Problem 1377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 94 84 42 72 199 80 39 62

N.S.

1 1.04 0.93 0.47 0.80 2.21 0.89 0.43 0.69

time (sec)

N/A 0.284 0.030 4.569 0.286 0.294 0.127 0.298 0.057

Problem 1378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

180 166 162 24 224 127 15 114 164

N.S.

1 0.92 0.90 0.13 1.24 0.71 0.08 0.63 0.91

time (sec)

N/A 0.364 0.088 4.447 0.285 0.289 0.298 0.276 5.887

Problem 1379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

244 289 219 162 0 368 0 217 186

N.S.

1 1.18 0.90 0.66 0.00 1.51 0.00 0.89 0.76

time (sec)

N/A 0.524 0.183 5.905 0.000 0.531 0.000 0.895 5.764

Problem 1380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 67 48 41 97 41 119 57 0

N.S.

1 1.16 0.83 0.71 1.67 0.71 2.05 0.98 0.00

time (sec)

N/A 0.170 0.296 4.841 0.186 0.283 1.906 0.306 0.000

Problem 1381

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

17 17 17 14 13 13 29 13 13

N.S.

1 1.00 1.00 0.82 0.76 0.76 1.71 0.76 0.76

time (sec)

N/A 0.130 0.020 4.817 0.181 0.264 0.097 0.272 5.962

Problem 1382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 37 35 28 58 29 88 30 0

N.S.

1 1.06 1.00 0.80 1.66 0.83 2.51 0.86 0.00

time (sec)

N/A 0.147 0.130 4.756 0.193 0.302 0.917 0.271 0.000

Problem 1383

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

53 53 30 26 37 26 54 37 25

N.S.

1 1.00 0.57 0.49 0.70 0.49 1.02 0.70 0.47

time (sec)

N/A 0.161 0.031 4.467 0.192 0.257 0.914 0.259 5.523

Problem 1384

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

40 42 25 21 28 21 39 28 20

N.S.

1 1.05 0.62 0.52 0.70 0.52 0.98 0.70 0.50

time (sec)

N/A 0.154 0.024 4.538 0.192 0.358 0.445 0.280 5.548

Problem 1385

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

27 29 18 15 19 14 24 19 14

N.S.

1 1.07 0.67 0.56 0.70 0.52 0.89 0.70 0.52

time (sec)

N/A 0.148 0.019 4.575 0.195 0.274 0.209 0.264 5.572

Problem 1386

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

13 13 13 10 9 9 8 9 9

N.S.

1 1.00 1.00 0.77 0.69 0.69 0.62 0.69 0.69

time (sec)

N/A 0.124 0.013 4.588 0.190 0.266 0.089 0.305 5.626

Problem 1387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 25 25 18 34 27 17 37 18

N.S.

1 1.00 1.00 0.72 1.36 1.08 0.68 1.48 0.72

time (sec)

N/A 0.144 0.051 4.651 0.271 0.276 0.503 0.282 0.077

Problem 1388

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

42 46 42 35 47 44 31 47 31

N.S.

1 1.10 1.00 0.83 1.12 1.05 0.74 1.12 0.74

time (sec)

N/A 0.153 0.087 4.540 0.301 0.293 1.107 0.285 5.729

Problem 1389

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

58 67 49 48 74 52 66 59 57

N.S.

1 1.16 0.84 0.83 1.28 0.90 1.14 1.02 0.98

time (sec)

N/A 0.158 0.116 4.631 0.272 0.286 2.382 0.260 5.689

Problem 1390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 54 40 30 86 35 53 51 0

N.S.

1 1.15 0.85 0.64 1.83 0.74 1.13 1.09 0.00

time (sec)

N/A 0.156 0.186 4.711 0.196 0.284 2.415 0.309 0.000

Problem 1391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 33 35 25 58 29 39 46 0

N.S.

1 1.06 1.13 0.81 1.87 0.94 1.26 1.48 0.00

time (sec)

N/A 0.145 0.159 4.518 0.194 0.276 1.069 0.316 0.000

Problem 1392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

14 14 18 12 33 16 12 29 0

N.S.

1 1.00 1.29 0.86 2.36 1.14 0.86 2.07 0.00

time (sec)

N/A 0.131 0.238 4.440 0.195 0.285 0.502 0.282 0.000

Problem 1393

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

16 16 16 13 12 16 12 20 12

N.S.

1 1.00 1.00 0.81 0.75 1.00 0.75 1.25 0.75

time (sec)

N/A 0.130 0.157 4.529 0.177 0.271 0.360 0.286 5.933

Problem 1394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 33 21 18 25 22 26 0 17

N.S.

1 1.00 0.64 0.55 0.76 0.67 0.79 0.00 0.52

time (sec)

N/A 0.143 0.188 4.479 0.190 0.352 0.547 0.000 5.836

Problem 1395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 54 28 25 37 31 41 0 24

N.S.

1 1.10 0.57 0.51 0.76 0.63 0.84 0.00 0.49

time (sec)

N/A 0.162 0.203 4.622 0.209 0.264 0.965 0.000 6.011

Problem 1396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 190 41 20 0 21 36 0 0

N.S.

1 1.02 0.22 0.11 0.00 0.11 0.19 0.00 0.00

time (sec)

N/A 0.239 10.016 6.381 0.000 0.078 0.447 0.000 0.000

Problem 1397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

166 166 29 20 0 6 36 0 0

N.S.

1 1.00 0.17 0.12 0.00 0.04 0.22 0.00 0.00

time (sec)

N/A 0.226 10.009 5.034 0.000 0.101 0.368 0.000 0.000

Problem 1398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 190 29 20 0 23 39 0 0

N.S.

1 1.02 0.16 0.11 0.00 0.12 0.21 0.00 0.00

time (sec)

N/A 0.237 10.009 5.379 0.000 0.079 0.486 0.000 0.000

Problem 1399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 39 20 0 0 36 0 0

N.S.

1 1.00 0.22 0.11 0.00 0.00 0.20 0.00 0.00

time (sec)

N/A 0.239 10.014 5.500 0.000 0.000 0.413 0.000 0.000

Problem 1400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F F C F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

164 164 24 18 0 0 34 0 16

N.S.

1 1.00 0.15 0.11 0.00 0.00 0.21 0.00 0.10

time (sec)

N/A 0.216 10.005 4.978 0.000 0.000 0.360 0.000 0.081

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