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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 A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 45 41 56 95 51 52 45

N.S.

1 1.00 0.76 0.69 0.95 1.61 0.86 0.88 0.76

time (sec)

N/A 0.190 0.022 2.318 0.197 0.219 0.071 0.294 1.198

Problem 1302

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

70 70 57 46 66 115 61 48 55

N.S.

1 1.00 0.81 0.66 0.94 1.64 0.87 0.69 0.79

time (sec)

N/A 0.200 0.025 2.287 0.191 0.233 0.079 0.281 1.394

Problem 1303

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

81 81 55 51 76 135 71 53 65

N.S.

1 1.00 0.68 0.63 0.94 1.67 0.88 0.65 0.80

time (sec)

N/A 0.206 0.035 2.337 0.203 0.224 0.084 0.281 1.332

Problem 1304

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

92 92 84 56 86 155 82 58 75

N.S.

1 1.00 0.91 0.61 0.93 1.68 0.89 0.63 0.82

time (sec)

N/A 0.215 0.045 2.340 0.194 0.234 0.092 0.279 1.244

Problem 1305

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

76 76 69 55 56 67 68 102 54

N.S.

1 1.00 0.91 0.72 0.74 0.88 0.89 1.34 0.71

time (sec)

N/A 0.197 0.022 2.352 0.198 0.217 0.054 0.275 0.058

Problem 1306

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

69 69 66 50 51 62 61 93 49

N.S.

1 1.00 0.96 0.72 0.74 0.90 0.88 1.35 0.71

time (sec)

N/A 0.195 0.030 0.780 0.196 0.217 0.054 0.272 0.060

Problem 1307

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

62 62 61 45 46 57 54 84 44

N.S.

1 1.00 0.98 0.73 0.74 0.92 0.87 1.35 0.71

time (sec)

N/A 0.191 0.027 0.779 0.193 0.225 0.052 0.291 0.059

Problem 1308

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

55 55 56 40 41 52 48 75 39

N.S.

1 1.00 1.02 0.73 0.75 0.95 0.87 1.36 0.71

time (sec)

N/A 0.180 0.026 0.778 0.190 0.214 0.051 0.273 0.044

Problem 1309

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

48 48 51 35 36 47 41 66 34

N.S.

1 1.00 1.06 0.73 0.75 0.98 0.85 1.38 0.71

time (sec)

N/A 0.175 0.025 2.344 0.196 0.218 0.053 0.279 0.040

Problem 1310

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

41 41 42 30 31 42 34 57 29

N.S.

1 1.00 1.02 0.73 0.76 1.02 0.83 1.39 0.71

time (sec)

N/A 0.171 0.013 2.343 0.206 0.211 0.046 0.287 0.028

Problem 1311

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

34 34 39 25 26 37 27 48 24

N.S.

1 1.00 1.15 0.74 0.76 1.09 0.79 1.41 0.71

time (sec)

N/A 0.164 0.013 2.318 0.195 0.216 0.042 0.272 0.033

Problem 1312

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 27 34 20 21 32 20 32 19

N.S.

1 1.00 1.26 0.74 0.78 1.19 0.74 1.19 0.70

time (sec)

N/A 0.159 0.010 2.338 0.199 0.225 0.039 0.287 1.182

Problem 1313

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

32 32 32 25 26 37 26 43 22

N.S.

1 1.00 1.00 0.78 0.81 1.16 0.81 1.34 0.69

time (sec)

N/A 0.167 0.017 3.069 0.208 0.228 0.063 0.288 1.253

Problem 1314

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

39 39 61 36 36 55 32 38 26

N.S.

1 1.00 1.56 0.92 0.92 1.41 0.82 0.97 0.67

time (sec)

N/A 0.170 0.027 0.763 0.206 0.211 0.065 0.282 0.066

Problem 1315

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

46 46 48 44 46 75 42 49 36

N.S.

1 1.00 1.04 0.96 1.00 1.63 0.91 1.07 0.78

time (sec)

N/A 0.178 0.020 2.342 0.202 0.222 0.070 0.277 1.261

Problem 1316

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

55 55 57 48 56 95 53 58 46

N.S.

1 1.00 1.04 0.87 1.02 1.73 0.96 1.05 0.84

time (sec)

N/A 0.191 0.024 2.346 0.211 0.223 0.076 0.289 1.189

Problem 1317

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

68 68 57 53 66 115 63 67 56

N.S.

1 1.00 0.84 0.78 0.97 1.69 0.93 0.99 0.82

time (sec)

N/A 0.198 0.058 2.334 0.190 0.221 0.084 0.269 0.047

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

77 77 62 58 76 135 73 76 66

N.S.

1 1.00 0.81 0.75 0.99 1.75 0.95 0.99 0.86

time (sec)

N/A 0.207 0.047 2.347 0.196 0.229 0.086 0.281 1.344

Problem 1319

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

90 90 92 63 86 155 83 85 76

N.S.

1 1.00 1.02 0.70 0.96 1.72 0.92 0.94 0.84

time (sec)

N/A 0.223 0.068 2.352 0.203 0.223 0.093 0.286 1.179

Problem 1320

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

97 97 99 68 96 175 94 94 86

N.S.

1 1.00 1.02 0.70 0.99 1.80 0.97 0.97 0.89

time (sec)

N/A 0.229 0.053 2.357 0.218 0.224 0.102 0.293 1.369

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

87 87 76 62 66 82 78 62 62

N.S.

1 1.00 0.87 0.71 0.76 0.94 0.90 0.71 0.71

time (sec)

N/A 0.211 0.024 2.382 0.200 0.217 0.066 0.301 1.194

Problem 1322

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 80 71 57 61 77 71 57 57

N.S.

1 1.00 0.89 0.71 0.76 0.96 0.89 0.71 0.71

time (sec)

N/A 0.203 0.022 0.784 0.200 0.228 0.063 0.273 0.042

Problem 1323

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

73 73 68 52 56 72 65 52 52

N.S.

1 1.00 0.93 0.71 0.77 0.99 0.89 0.71 0.71

time (sec)

N/A 0.196 0.032 0.783 0.196 0.228 0.059 0.283 0.038

Problem 1324

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

66 66 63 47 51 67 58 47 47

N.S.

1 1.00 0.95 0.71 0.77 1.02 0.88 0.71 0.71

time (sec)

N/A 0.193 0.030 0.779 0.216 0.214 0.062 0.299 0.035

Problem 1325

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 59 58 42 46 62 51 42 42

N.S.

1 1.00 0.98 0.71 0.78 1.05 0.86 0.71 0.71

time (sec)

N/A 0.186 0.029 0.776 0.212 0.229 0.060 0.288 0.036

Problem 1326

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

52 52 48 37 41 52 44 37 37

N.S.

1 1.00 0.92 0.71 0.79 1.00 0.85 0.71 0.71

time (sec)

N/A 0.179 0.027 2.359 0.201 0.218 0.057 0.282 0.028

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

45 45 42 32 36 52 37 32 32

N.S.

1 1.00 0.93 0.71 0.80 1.16 0.82 0.71 0.71

time (sec)

N/A 0.174 0.013 2.370 0.200 0.216 0.056 0.297 0.036

Problem 1328

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 38 37 27 31 47 31 27 27

N.S.

1 1.00 0.97 0.71 0.82 1.24 0.82 0.71 0.71

time (sec)

N/A 0.168 0.015 2.357 0.210 0.223 0.052 0.284 0.038

Problem 1329

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

33 33 31 24 28 37 24 24 23

N.S.

1 1.00 0.94 0.73 0.85 1.12 0.73 0.73 0.70

time (sec)

N/A 0.161 0.011 2.303 0.212 0.215 0.046 0.290 0.030

Problem 1330

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

39 39 48 32 36 55 31 33 25

N.S.

1 1.00 1.23 0.82 0.92 1.41 0.79 0.85 0.64

time (sec)

N/A 0.174 0.014 2.369 0.200 0.224 0.062 0.289 0.042

Problem 1331

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

46 46 48 44 46 75 41 49 35

N.S.

1 1.00 1.04 0.96 1.00 1.63 0.89 1.07 0.76

time (sec)

N/A 0.184 0.020 2.365 0.226 0.220 0.067 0.286 1.167

Problem 1332

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

57 57 59 48 56 95 51 48 45

N.S.

1 1.00 1.04 0.84 0.98 1.67 0.89 0.84 0.79

time (sec)

N/A 0.193 0.020 2.367 0.208 0.226 0.072 0.275 0.046

Problem 1333

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

68 68 70 53 66 115 61 55 55

N.S.

1 1.00 1.03 0.78 0.97 1.69 0.90 0.81 0.81

time (sec)

N/A 0.204 0.034 2.364 0.213 0.218 0.080 0.282 0.052

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

77 77 79 58 76 135 71 76 65

N.S.

1 1.00 1.03 0.75 0.99 1.75 0.92 0.99 0.84

time (sec)

N/A 0.214 0.040 2.366 0.215 0.219 0.091 0.281 1.493

Problem 1335

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

88 88 90 63 86 155 82 65 75

N.S.

1 1.00 1.02 0.72 0.98 1.76 0.93 0.74 0.85

time (sec)

N/A 0.225 0.045 2.375 0.220 0.229 0.093 0.266 1.367

Problem 1336

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

101 101 103 68 96 175 92 70 85

N.S.

1 1.00 1.02 0.67 0.95 1.73 0.91 0.69 0.84

time (sec)

N/A 0.236 0.049 2.338 0.216 0.219 0.097 0.284 1.439

Problem 1337

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

110 110 112 73 106 195 102 75 95

N.S.

1 1.00 1.02 0.66 0.96 1.77 0.93 0.68 0.86

time (sec)

N/A 0.246 0.056 2.369 0.201 0.228 0.103 0.269 0.068

Problem 1338

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 56 72 64 64 64 70 64 64

N.S.

1 1.00 1.29 1.14 1.14 1.14 1.25 1.14 1.14

time (sec)

N/A 0.226 0.002 2.322 0.205 0.215 0.028 0.276 0.081

Problem 1339

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 56 67 59 59 59 65 59 59

N.S.

1 1.00 1.20 1.05 1.05 1.05 1.16 1.05 1.05

time (sec)

N/A 0.207 0.002 2.360 0.200 0.218 0.030 0.280 0.065

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

56 56 62 54 54 54 60 54 54

N.S.

1 1.00 1.11 0.96 0.96 0.96 1.07 0.96 0.96

time (sec)

N/A 0.215 0.002 2.358 0.222 0.218 0.026 0.281 0.053

Problem 1341

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 56 53 49 49 49 51 49 49

N.S.

1 1.00 0.95 0.88 0.88 0.88 0.91 0.88 0.88

time (sec)

N/A 0.200 0.002 2.359 0.206 0.216 0.025 0.257 0.043

Problem 1342

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 56 50 44 44 44 48 44 44

N.S.

1 1.00 0.89 0.79 0.79 0.79 0.86 0.79 0.79

time (sec)

N/A 0.205 0.004 2.354 0.192 0.209 0.022 0.269 0.034

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

45 45 45 39 39 39 42 39 39

N.S.

1 1.00 1.00 0.87 0.87 0.87 0.93 0.87 0.87

time (sec)

N/A 0.183 0.001 2.364 0.191 0.217 0.021 0.268 0.030

Problem 1344

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 40 40 34 34 34 37 34 34

N.S.

1 1.00 1.00 0.85 0.85 0.85 0.92 0.85 0.85

time (sec)

N/A 0.185 0.001 2.359 0.208 0.214 0.020 0.275 0.027

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

34 34 35 29 29 29 32 29 29

N.S.

1 1.00 1.03 0.85 0.85 0.85 0.94 0.85 0.85

time (sec)

N/A 0.169 0.001 1.927 0.205 0.218 0.022 0.279 0.023

Problem 1346

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

23 23 26 24 24 24 24 24 24

N.S.

1 1.00 1.13 1.04 1.04 1.04 1.04 1.04 1.04

time (sec)

N/A 0.163 0.001 1.929 0.195 0.215 0.021 0.280 0.020

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

37 37 32 26 27 27 34 28 25

N.S.

1 1.00 0.86 0.70 0.73 0.73 0.92 0.76 0.68

time (sec)

N/A 0.164 0.013 1.958 0.201 0.213 0.038 0.278 0.027

Problem 1348

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

41 41 44 30 31 42 34 57 29

N.S.

1 1.00 1.07 0.73 0.76 1.02 0.83 1.39 0.71

time (sec)

N/A 0.165 0.013 2.382 0.195 0.217 0.046 0.284 0.029

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

45 45 46 32 36 52 36 32 32

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.80 0.71 0.71

time (sec)

N/A 0.181 0.018 2.377 0.198 0.215 0.055 0.277 0.036

Problem 1350

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 49 46 32 41 62 41 32 36

N.S.

1 1.00 0.94 0.65 0.84 1.27 0.84 0.65 0.73

time (sec)

N/A 0.178 0.014 2.384 0.206 0.229 0.060 0.282 0.040

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

55 55 41 34 48 67 46 55 44

N.S.

1 1.00 0.75 0.62 0.87 1.22 0.84 1.00 0.80

time (sec)

N/A 0.180 0.015 2.389 0.198 0.220 0.075 0.287 1.348

Problem 1352

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

37 37 31 29 49 49 48 29 46

N.S.

1 1.00 0.84 0.78 1.32 1.32 1.30 0.78 1.24

time (sec)

N/A 0.154 0.011 2.393 0.200 0.216 0.064 0.268 0.034

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

55 60 31 29 54 54 51 29 46

N.S.

1 1.09 0.56 0.53 0.98 0.98 0.93 0.53 0.84

time (sec)

N/A 0.167 0.012 2.381 0.194 0.216 0.069 0.296 0.033

Problem 1354

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 56 31 29 59 59 56 29 46

N.S.

1 1.00 0.55 0.52 1.05 1.05 1.00 0.52 0.82

time (sec)

N/A 0.199 0.010 2.391 0.202 0.215 0.083 0.289 1.199

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

67 67 87 69 69 69 83 69 69

N.S.

1 1.00 1.30 1.03 1.03 1.03 1.24 1.03 1.03

time (sec)

N/A 0.229 0.003 2.388 0.192 0.218 0.030 0.283 0.098

Problem 1356

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

67 67 78 64 64 64 75 64 64

N.S.

1 1.00 1.16 0.96 0.96 0.96 1.12 0.96 0.96

time (sec)

N/A 0.241 0.003 2.377 0.205 0.212 0.029 0.279 0.078

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

67 67 71 59 59 59 68 59 59

N.S.

1 1.00 1.06 0.88 0.88 0.88 1.01 0.88 0.88

time (sec)

N/A 0.214 0.003 2.388 0.198 0.216 0.028 0.296 0.065

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

67 67 62 54 54 54 60 54 54

N.S.

1 1.00 0.93 0.81 0.81 0.81 0.90 0.81 0.81

time (sec)

N/A 0.226 0.002 2.381 0.214 0.220 0.035 0.282 0.053

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

67 67 57 49 49 49 54 49 49

N.S.

1 1.00 0.85 0.73 0.73 0.73 0.81 0.73 0.73

time (sec)

N/A 0.208 0.002 2.394 0.194 0.208 0.024 0.280 0.044

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

56 56 56 44 44 44 53 44 44

N.S.

1 1.00 1.00 0.79 0.79 0.79 0.95 0.79 0.79

time (sec)

N/A 0.195 0.002 2.395 0.197 0.217 0.023 0.296 0.035

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

47 47 47 39 39 39 44 39 39

N.S.

1 1.00 1.00 0.83 0.83 0.83 0.94 0.83 0.83

time (sec)

N/A 0.180 0.002 2.396 0.195 0.213 0.022 0.278 0.031

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

46 46 46 34 34 34 42 34 34

N.S.

1 1.00 1.00 0.74 0.74 0.74 0.91 0.74 0.74

time (sec)

N/A 0.183 0.002 2.408 0.200 0.213 0.020 0.275 0.028

Problem 1363

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

34 34 35 29 29 29 32 29 29

N.S.

1 1.00 1.03 0.85 0.85 0.85 0.94 0.85 0.85

time (sec)

N/A 0.174 0.001 2.398 0.195 0.219 0.022 0.279 0.023

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

44 44 37 31 32 32 41 33 30

N.S.

1 1.00 0.84 0.70 0.73 0.73 0.93 0.75 0.68

time (sec)

N/A 0.168 0.010 2.415 0.195 0.225 0.041 0.281 0.028

Problem 1365

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

48 48 49 35 36 47 41 66 34

N.S.

1 1.00 1.02 0.73 0.75 0.98 0.85 1.38 0.71

time (sec)

N/A 0.173 0.028 2.414 0.217 0.227 0.049 0.288 0.029

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

52 52 51 37 41 57 44 37 36

N.S.

1 1.00 0.98 0.71 0.79 1.10 0.85 0.71 0.69

time (sec)

N/A 0.178 0.030 2.413 0.194 0.219 0.059 0.282 0.029

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

56 56 51 37 46 67 46 37 42

N.S.

1 1.00 0.91 0.66 0.82 1.20 0.82 0.66 0.75

time (sec)

N/A 0.181 0.030 2.416 0.199 0.222 0.066 0.278 0.038

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

60 60 51 37 51 77 51 59 46

N.S.

1 1.00 0.85 0.62 0.85 1.28 0.85 0.98 0.77

time (sec)

N/A 0.187 0.027 2.413 0.197 0.218 0.069 0.281 1.167

Problem 1369

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

66 66 46 38 58 82 56 39 54

N.S.

1 1.00 0.70 0.58 0.88 1.24 0.85 0.59 0.82

time (sec)

N/A 0.189 0.030 2.414 0.210 0.221 0.095 0.292 1.307

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

67 67 36 34 59 59 58 34 55

N.S.

1 1.00 0.54 0.51 0.88 0.88 0.87 0.51 0.82

time (sec)

N/A 0.189 0.023 2.400 0.209 0.215 0.077 0.280 1.175

Problem 1371

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

67 67 36 34 64 64 61 34 55

N.S.

1 1.00 0.54 0.51 0.96 0.96 0.91 0.51 0.82

time (sec)

N/A 0.189 0.024 2.413 0.206 0.218 0.079 0.288 0.036

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

78 78 85 69 69 69 82 69 69

N.S.

1 1.00 1.09 0.88 0.88 0.88 1.05 0.88 0.88

time (sec)

N/A 0.227 0.003 2.403 0.200 0.218 0.030 0.286 0.166

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

78 78 74 64 64 64 71 64 64

N.S.

1 1.00 0.95 0.82 0.82 0.82 0.91 0.82 0.82

time (sec)

N/A 0.236 0.003 2.412 0.198 0.206 0.030 0.280 0.136

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

78 78 65 59 59 59 63 59 59

N.S.

1 1.00 0.83 0.76 0.76 0.76 0.81 0.76 0.76

time (sec)

N/A 0.223 0.003 2.408 0.208 0.219 0.026 0.269 0.104

Problem 1375

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

62 62 62 54 54 54 60 54 54

N.S.

1 1.00 1.00 0.87 0.87 0.87 0.97 0.87 0.87

time (sec)

N/A 0.218 0.003 2.408 0.205 0.218 0.025 0.283 0.081

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

59 59 59 49 49 49 56 49 49

N.S.

1 1.00 1.00 0.83 0.83 0.83 0.95 0.83 0.83

time (sec)

N/A 0.196 0.002 2.396 0.206 0.210 0.023 0.286 0.066

Problem 1377

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

54 54 54 44 44 44 51 44 44

N.S.

1 1.00 1.00 0.81 0.81 0.81 0.94 0.81 0.81

time (sec)

N/A 0.212 0.002 2.393 0.202 0.222 0.031 0.289 0.048

Problem 1378

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

47 47 47 39 39 39 44 39 39

N.S.

1 1.00 1.00 0.83 0.83 0.83 0.94 0.83 0.83

time (sec)

N/A 0.182 0.001 2.413 0.200 0.222 0.023 0.279 0.038

Problem 1379

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 40 40 34 34 34 37 34 34

N.S.

1 1.00 1.00 0.85 0.85 0.85 0.92 0.85 0.85

time (sec)

N/A 0.180 0.002 2.405 0.213 0.215 0.021 0.270 0.030

Problem 1380

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

51 51 42 36 37 37 48 38 35

N.S.

1 1.00 0.82 0.71 0.73 0.73 0.94 0.75 0.69

time (sec)

N/A 0.174 0.010 2.430 0.206 0.229 0.043 0.290 0.038

Problem 1381

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

55 55 54 40 41 52 48 75 39

N.S.

1 1.00 0.98 0.73 0.75 0.95 0.87 1.36 0.71

time (sec)

N/A 0.176 0.011 2.426 0.205 0.215 0.052 0.281 0.040

Problem 1382

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 59 56 42 46 62 49 42 42

N.S.

1 1.00 0.95 0.71 0.78 1.05 0.83 0.71 0.71

time (sec)

N/A 0.185 0.014 2.437 0.199 0.215 0.058 0.290 0.036

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

63 63 52 42 51 72 54 42 46

N.S.

1 1.00 0.83 0.67 0.81 1.14 0.86 0.67 0.73

time (sec)

N/A 0.186 0.014 2.422 0.222 0.226 0.064 0.277 0.033

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

67 67 56 42 56 82 56 75 52

N.S.

1 1.00 0.84 0.63 0.84 1.22 0.84 1.12 0.78

time (sec)

N/A 0.191 0.015 2.438 0.219 0.214 0.068 0.283 0.041

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

71 71 56 42 61 92 61 42 56

N.S.

1 1.00 0.79 0.59 0.86 1.30 0.86 0.59 0.79

time (sec)

N/A 0.193 0.017 2.445 0.207 0.214 0.073 0.278 1.251

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

77 77 51 43 68 97 66 44 64

N.S.

1 1.00 0.66 0.56 0.88 1.26 0.86 0.57 0.83

time (sec)

N/A 0.199 0.013 2.442 0.220 0.222 0.078 0.259 0.075

Problem 1387

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

78 78 41 39 69 69 68 39 64

N.S.

1 1.00 0.53 0.50 0.88 0.88 0.87 0.50 0.82

time (sec)

N/A 0.202 0.011 2.438 0.231 0.214 0.079 0.278 1.298

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

72 72 57 51 52 52 68 53 50

N.S.

1 1.00 0.79 0.71 0.72 0.72 0.94 0.74 0.69

time (sec)

N/A 0.189 0.013 2.452 0.216 0.223 0.050 0.274 0.050

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

65 65 52 46 47 47 61 48 45

N.S.

1 1.00 0.80 0.71 0.72 0.72 0.94 0.74 0.69

time (sec)

N/A 0.187 0.011 0.807 0.212 0.225 0.048 0.267 0.044

Problem 1390

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 58 47 41 42 42 54 43 40

N.S.

1 1.00 0.81 0.71 0.72 0.72 0.93 0.74 0.69

time (sec)

N/A 0.176 0.010 0.800 0.210 0.219 0.043 0.294 0.037

Problem 1391

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

51 51 42 36 37 37 48 38 35

N.S.

1 1.00 0.82 0.71 0.73 0.73 0.94 0.75 0.69

time (sec)

N/A 0.175 0.009 2.434 0.222 0.214 0.043 0.265 0.031

Problem 1392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

44 44 37 31 32 32 41 33 30

N.S.

1 1.00 0.84 0.70 0.73 0.73 0.93 0.75 0.68

time (sec)

N/A 0.169 0.010 2.444 0.193 0.215 0.040 0.277 0.028

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

37 37 35 26 27 27 34 28 25

N.S.

1 1.00 0.95 0.70 0.73 0.73 0.92 0.76 0.68

time (sec)

N/A 0.160 0.013 2.434 0.195 0.217 0.046 0.282 0.027

Problem 1394

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

30 30 27 21 22 22 27 23 20

N.S.

1 1.00 0.90 0.70 0.73 0.73 0.90 0.77 0.67

time (sec)

N/A 0.155 0.008 2.433 0.199 0.218 0.034 0.272 0.032

Problem 1395

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

33 33 35 22 25 25 31 27 21

N.S.

1 1.00 1.06 0.67 0.76 0.76 0.94 0.82 0.64

time (sec)

N/A 0.160 0.011 2.426 0.193 0.224 0.056 0.269 0.037

Problem 1396

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

37 37 36 28 29 45 31 47 25

N.S.

1 1.00 0.97 0.76 0.78 1.22 0.84 1.27 0.68

time (sec)

N/A 0.163 0.017 2.439 0.207 0.213 0.063 0.275 1.162

Problem 1397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 39 32 36 55 36 33 29

N.S.

1 1.00 0.91 0.74 0.84 1.28 0.84 0.77 0.67

time (sec)

N/A 0.170 0.021 2.441 0.218 0.224 0.072 0.271 0.053

Problem 1398

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

50 50 40 36 46 75 42 38 35

N.S.

1 1.00 0.80 0.72 0.92 1.50 0.84 0.76 0.70

time (sec)

N/A 0.182 0.023 2.445 0.198 0.219 0.074 0.267 1.293

Problem 1399

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 59 45 41 56 95 53 52 45

N.S.

1 1.00 0.76 0.69 0.95 1.61 0.90 0.88 0.76

time (sec)

N/A 0.203 0.023 2.445 0.234 0.223 0.081 0.286 0.073

Problem 1400

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

70 70 50 46 66 115 63 48 55

N.S.

1 1.00 0.71 0.66 0.94 1.64 0.90 0.69 0.79

time (sec)

N/A 0.196 0.033 2.442 0.271 0.232 0.086 0.275 0.047

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