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Integrals 4201 to 4300

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 4201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 110 25 56 49 49 114 51 18

N.S.

1 4.40 1.00 2.24 1.96 1.96 4.56 2.04 0.72

time (sec)

N/A 0.237 2.329 1.968 0.274 0.264 0.114 0.250 0.201

Problem 4202

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

27 17 17 34 33 29 42 33 33

N.S.

1 0.63 0.63 1.26 1.22 1.07 1.56 1.22 1.22

time (sec)

N/A 0.388 0.037 3.510 0.241 0.243 10.583 0.277 10.149

Problem 4203

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

18 23 18 20 19 19 20 19 20

N.S.

1 1.28 1.00 1.11 1.06 1.06 1.11 1.06 1.11

time (sec)

N/A 0.079 0.024 1.427 0.184 0.235 0.097 0.245 10.078

Problem 4204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 0 26 51 25 0 25 67

N.S.

1 0.00 0.00 1.08 2.12 1.04 0.00 1.04 2.79

time (sec)

N/A 0.000 0.000 9.440 0.331 0.233 0.000 0.312 10.387

Problem 4205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

22 0 21 20 19 26 15 30 19

N.S.

1 0.00 0.95 0.91 0.86 1.18 0.68 1.36 0.86

time (sec)

N/A 0.000 0.201 1.139 0.235 0.232 0.127 0.250 10.242

Problem 4206

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

14 14 14 12 11 11 15 11 11

N.S.

1 1.00 1.00 0.86 0.79 0.79 1.07 0.79 0.79

time (sec)

N/A 0.002 0.001 0.508 0.191 0.234 0.022 0.248 10.169

Problem 4207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

30 0 19 22 42 42 41 114 62

N.S.

1 0.00 0.63 0.73 1.40 1.40 1.37 3.80 2.07

time (sec)

N/A 0.000 0.346 3.122 0.251 0.232 0.151 0.263 10.779

Problem 4208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 45 50 49 47 53 49 0

N.S.

1 0.00 1.50 1.67 1.63 1.57 1.77 1.63 0.00

time (sec)

N/A 0.000 0.093 2.418 0.357 0.248 0.138 0.288 0.000

Problem 4209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 0 86 37 80 87 0 138

N.S.

1 0.00 0.00 2.61 1.12 2.42 2.64 0.00 4.18

time (sec)

N/A 0.000 0.000 36.271 1.541 0.242 0.840 0.000 12.303

Problem 4210

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

19 8 8 8 7 7 7 7 7

N.S.

1 0.42 0.42 0.42 0.37 0.37 0.37 0.37 0.37

time (sec)

N/A 0.003 0.003 0.238 0.216 0.239 0.036 0.247 0.039

Problem 4211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

26 0 32 31 29 30 31 35 36

N.S.

1 0.00 1.23 1.19 1.12 1.15 1.19 1.35 1.38

time (sec)

N/A 0.000 0.086 0.765 0.254 0.254 0.110 0.299 10.477

Problem 4212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A B B

verified

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

size

30 0 26 25 0 43 42 71 50

N.S.

1 0.00 0.87 0.83 0.00 1.43 1.40 2.37 1.67

time (sec)

N/A 0.000 0.139 7.092 0.000 0.257 32.253 1.038 11.097

Problem 4213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 22 19 26 26 22 22 18

N.S.

1 0.00 0.92 0.79 1.08 1.08 0.92 0.92 0.75

time (sec)

N/A 0.000 0.359 0.397 0.227 0.248 0.139 0.257 10.673

Problem 4214

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 13 12 12 12 12 12

N.S.

1 1.00 1.00 1.08 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.119 0.094 2.392 0.241 0.242 0.151 0.270 10.848

Problem 4215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

22 0 22 20 43 44 44 44 50

N.S.

1 0.00 1.00 0.91 1.95 2.00 2.00 2.00 2.27

time (sec)

N/A 0.000 0.444 2.366 0.240 0.237 0.106 0.263 10.826

Problem 4216

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

19 36 40 40 44 58 53 97 58

N.S.

1 1.89 2.11 2.11 2.32 3.05 2.79 5.11 3.05

time (sec)

N/A 0.017 0.026 0.994 0.191 0.227 0.084 0.245 10.324

Problem 4217

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 13 11 14 13 13 14 15 9

N.S.

1 0.87 0.73 0.93 0.87 0.87 0.93 1.00 0.60

time (sec)

N/A 0.007 0.029 1.329 0.282 0.238 0.072 0.245 10.484

Problem 4218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 60 25 26 32 23 29 34 21

N.S.

1 3.00 1.25 1.30 1.60 1.15 1.45 1.70 1.05

time (sec)

N/A 0.067 0.114 2.397 0.268 0.254 0.113 0.261 0.142

Problem 4219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C C A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 1101 552 25 77 23 20 23 23

N.S.

1 55.05 27.60 1.25 3.85 1.15 1.00 1.15 1.15

time (sec)

N/A 1.413 0.439 1.624 0.626 0.237 0.087 0.332 10.664

Problem 4220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 58 17 18 18 17 20 18 18

N.S.

1 3.41 1.00 1.06 1.06 1.00 1.18 1.06 1.06

time (sec)

N/A 0.221 0.082 2.198 0.223 0.247 0.143 0.257 10.834

Problem 4221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 21 14 14 24 13 14 13 20

N.S.

1 0.95 0.64 0.64 1.09 0.59 0.64 0.59 0.91

time (sec)

N/A 0.183 0.041 0.425 0.227 0.242 0.040 0.246 10.594

Problem 4222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 31 31 0 31 27 0 27

N.S.

1 0.00 1.00 1.00 0.00 1.00 0.87 0.00 0.87

time (sec)

N/A 0.000 0.317 95.398 0.000 0.248 9.219 0.000 11.586

Problem 4223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

31 0 26 25 60 29 26 102 50

N.S.

1 0.00 0.84 0.81 1.94 0.94 0.84 3.29 1.61

time (sec)

N/A 0.000 0.310 23.286 0.269 0.233 0.111 0.292 0.506

Problem 4224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 87 22 70 59 59 78 59 63

N.S.

1 3.95 1.00 3.18 2.68 2.68 3.55 2.68 2.86

time (sec)

N/A 0.015 0.014 0.903 0.189 0.252 0.033 0.262 11.014

Problem 4225

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 20 8 8 16 7 7 7 7

N.S.

1 1.33 0.53 0.53 1.07 0.47 0.47 0.47 0.47

time (sec)

N/A 0.006 0.002 0.088 0.192 0.248 0.050 0.258 0.024

Problem 4226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 33 29 33 28 0 33 38

N.S.

1 0.00 1.14 1.00 1.14 0.97 0.00 1.14 1.31

time (sec)

N/A 0.000 3.121 1.586 0.310 0.258 0.000 0.315 11.969

Problem 4227

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

31 49 49 47 47 47 44 59 61

N.S.

1 1.58 1.58 1.52 1.52 1.52 1.42 1.90 1.97

time (sec)

N/A 0.028 0.149 0.663 0.204 0.285 0.098 0.264 0.117

Problem 4228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 25 23 22 0 22 22 21 30

N.S.

1 1.25 1.15 1.10 0.00 1.10 1.10 1.05 1.50

time (sec)

N/A 0.326 0.050 1.857 0.000 0.261 0.212 0.288 11.406

Problem 4229

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 18 18 17 18 20 19 18 16

N.S.

1 0.78 0.78 0.74 0.78 0.87 0.83 0.78 0.70

time (sec)

N/A 0.187 0.164 0.532 0.248 0.246 0.100 0.264 10.874

Problem 4230

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

22 27 24 50 86 49 54 53 49

N.S.

1 1.23 1.09 2.27 3.91 2.23 2.45 2.41 2.23

time (sec)

N/A 0.275 0.024 3.302 0.323 0.246 0.160 0.281 11.545

Problem 4231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

21 0 17 13 16 16 12 12 12

N.S.

1 0.00 0.81 0.62 0.76 0.76 0.57 0.57 0.57

time (sec)

N/A 0.000 0.215 0.360 0.228 0.274 0.074 0.261 9.970

Problem 4232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 160 152 82 135 77 87 94 35

N.S.

1 6.67 6.33 3.42 5.62 3.21 3.62 3.92 1.46

time (sec)

N/A 0.128 0.167 0.959 0.195 0.265 0.158 0.261 10.262

Problem 4233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B B B

verified

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

size

18 0 19 36 44 44 42 87 50

N.S.

1 0.00 1.06 2.00 2.44 2.44 2.33 4.83 2.78

time (sec)

N/A 0.000 0.090 0.454 0.253 0.267 0.093 0.264 10.335

Problem 4234

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

29 19 19 19 19 19 19 19 19

N.S.

1 0.66 0.66 0.66 0.66 0.66 0.66 0.66 0.66

time (sec)

N/A 0.002 0.000 0.487 0.184 0.271 0.019 0.256 0.035

Problem 4235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 62 21 48 45 45 54 62 43

N.S.

1 3.26 1.11 2.53 2.37 2.37 2.84 3.26 2.26

time (sec)

N/A 0.139 0.033 1.172 0.273 0.257 0.103 0.247 10.341

Problem 4236

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

22 21 21 20 19 21 14 54 19

N.S.

1 0.95 0.95 0.91 0.86 0.95 0.64 2.45 0.86

time (sec)

N/A 0.263 0.179 3.243 0.239 0.268 0.093 0.264 10.342

Problem 4237

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

26 47 27 44 36 48 39 48 33

N.S.

1 1.81 1.04 1.69 1.38 1.85 1.50 1.85 1.27

time (sec)

N/A 0.019 0.074 2.101 0.201 0.246 0.114 0.241 0.238

Problem 4238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B B B B

verified

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

size

19 0 16 34 30 48 44 149 153

N.S.

1 0.00 0.84 1.79 1.58 2.53 2.32 7.84 8.05

time (sec)

N/A 0.000 0.887 3.044 0.386 0.247 0.138 0.263 10.643

Problem 4239

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 43 41 39 89 46 34 50 46

N.S.

1 1.65 1.58 1.50 3.42 1.77 1.31 1.92 1.77

time (sec)

N/A 0.943 0.238 1.806 0.234 0.256 0.106 0.277 10.387

Problem 4240

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

19 15 15 16 15 21 12 15 15

N.S.

1 0.79 0.79 0.84 0.79 1.11 0.63 0.79 0.79

time (sec)

N/A 0.136 0.010 1.884 0.223 0.249 0.043 0.257 0.153

Problem 4241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 893 535 81 196 172 207 80 0

N.S.

1 38.83 23.26 3.52 8.52 7.48 9.00 3.48 0.00

time (sec)

N/A 1.186 1.836 3.353 0.219 0.262 14.375 0.310 0.000

Problem 4242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B A B B

verified

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

size

27 0 26 23 52 56 31 60 54

N.S.

1 0.00 0.96 0.85 1.93 2.07 1.15 2.22 2.00

time (sec)

N/A 0.000 0.554 1.142 0.312 0.244 0.085 0.261 0.588

Problem 4243

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 No TBD TBD TBD TBD TBD

size

30 40 32 3007 41 42 32 44 36

N.S.

1 1.33 1.07 100.23 1.37 1.40 1.07 1.47 1.20

time (sec)

N/A 0.202 0.119 1.506 0.270 0.272 159.821 0.688 10.835

Problem 4244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 21 21 18 23 17 19 0 17

N.S.

1 0.78 0.78 0.67 0.85 0.63 0.70 0.00 0.63

time (sec)

N/A 0.103 0.190 19.446 0.313 0.263 0.224 0.000 9.475

Problem 4245

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 30 31 22 33 19 20 30 19

N.S.

1 1.11 1.15 0.81 1.22 0.70 0.74 1.11 0.70

time (sec)

N/A 0.270 0.058 1.463 0.315 0.248 0.150 0.267 9.352

Problem 4246

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

20 13 13 13 38 12 14 12 12

N.S.

1 0.65 0.65 0.65 1.90 0.60 0.70 0.60 0.60

time (sec)

N/A 1.131 0.359 0.987 0.315 0.260 0.128 0.268 9.263

Problem 4247

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

20 20 20 18 28 24 31 28 40

N.S.

1 1.00 1.00 0.90 1.40 1.20 1.55 1.40 2.00

time (sec)

N/A 0.113 0.018 4.263 0.219 0.258 0.070 0.254 9.651

Problem 4248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 39 29 40 108 55 65 56 57

N.S.

1 1.44 1.07 1.48 4.00 2.04 2.41 2.07 2.11

time (sec)

N/A 0.618 0.190 4.655 0.225 0.252 0.068 0.250 9.125

Problem 4249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

30 0 32 22 35 21 19 28 22

N.S.

1 0.00 1.07 0.73 1.17 0.70 0.63 0.93 0.73

time (sec)

N/A 0.000 1.532 2.310 0.229 0.256 0.083 0.265 0.106

Problem 4250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

17 0 26 27 26 26 24 26 26

N.S.

1 0.00 1.53 1.59 1.53 1.53 1.41 1.53 1.53

time (sec)

N/A 0.000 0.692 2.268 0.215 0.245 0.093 0.252 9.368

Problem 4251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 0 87 111 82 87 111 0

N.S.

1 0.00 0.00 3.95 5.05 3.73 3.95 5.05 0.00

time (sec)

N/A 0.000 0.000 42.798 0.603 0.247 0.388 0.384 0.000

Problem 4252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 29 29 50 52 0 29 29

N.S.

1 0.00 0.97 0.97 1.67 1.73 0.00 0.97 0.97

time (sec)

N/A 0.000 3.684 2.454 0.219 0.253 0.000 0.252 9.272

Problem 4253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 18 18 18 22 19 14 19 19

N.S.

1 0.82 0.82 0.82 1.00 0.86 0.64 0.86 0.86

time (sec)

N/A 0.026 0.016 0.897 0.214 0.270 0.041 0.246 0.069

Problem 4254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

21 0 20 24 30 28 24 28 23

N.S.

1 0.00 0.95 1.14 1.43 1.33 1.14 1.33 1.10

time (sec)

N/A 0.000 0.242 2.916 0.319 0.250 0.075 0.280 9.473

Problem 4255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F B A F B

verified

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

size

29 0 23 29 0 77 26 0 40

N.S.

1 0.00 0.79 1.00 0.00 2.66 0.90 0.00 1.38

time (sec)

N/A 0.000 5.219 15.779 0.000 0.254 0.517 0.000 9.300

Problem 4256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B A B B B

verified

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

size

26 0 45 56 75 31 66 56 71

N.S.

1 0.00 1.73 2.15 2.88 1.19 2.54 2.15 2.73

time (sec)

N/A 0.000 0.963 3.943 0.320 0.254 0.420 0.300 10.061

Problem 4257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 24 25 291 24 0 0 24

N.S.

1 0.00 0.92 0.96 11.19 0.92 0.00 0.00 0.92

time (sec)

N/A 0.000 1.689 11.396 0.393 0.248 0.000 0.000 9.089

Problem 4258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

26 0 24 21 20 20 24 20 20

N.S.

1 0.00 0.92 0.81 0.77 0.77 0.92 0.77 0.77

time (sec)

N/A 0.000 0.459 90.109 0.623 0.263 0.311 0.268 8.988

Problem 4259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

34 0 36 46 53 56 0 0 50

N.S.

1 0.00 1.06 1.35 1.56 1.65 0.00 0.00 1.47

time (sec)

N/A 0.000 0.370 0.829 0.434 0.252 0.000 0.000 10.724

Problem 4260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 318 32 30 32 81 54 0 38

N.S.

1 12.23 1.23 1.15 1.23 3.12 2.08 0.00 1.46

time (sec)

N/A 0.750 0.185 5.974 0.319 0.250 0.164 0.000 12.435

Problem 4261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 119 15 19 86 30 12 18 18

N.S.

1 4.76 0.60 0.76 3.44 1.20 0.48 0.72 0.72

time (sec)

N/A 0.211 0.127 0.504 0.479 0.251 0.061 0.249 12.149

Problem 4262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 115 53 49 86 34 39 42 47

N.S.

1 4.42 2.04 1.88 3.31 1.31 1.50 1.62 1.81

time (sec)

N/A 0.329 0.094 1.871 0.243 0.240 0.125 0.254 12.175

Problem 4263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A B B

verified

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

size

34 0 36 31 0 50 51 57 143

N.S.

1 0.00 1.06 0.91 0.00 1.47 1.50 1.68 4.21

time (sec)

N/A 0.000 0.286 3.323 0.000 0.246 0.380 1.108 12.428

Problem 4264

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 14 14 13 12 12 10 12 12

N.S.

1 0.64 0.64 0.59 0.55 0.55 0.45 0.55 0.55

time (sec)

N/A 0.016 0.016 0.431 0.227 0.251 0.070 0.252 11.838

Problem 4265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

32 0 32 33 36 35 29 39 35

N.S.

1 0.00 1.00 1.03 1.12 1.09 0.91 1.22 1.09

time (sec)

N/A 0.000 0.086 299.454 0.374 0.241 4.179 0.665 14.069

Problem 4266

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 15 15 15 17 17 14 17 15

N.S.

1 0.68 0.68 0.68 0.77 0.77 0.64 0.77 0.68

time (sec)

N/A 0.005 0.004 0.388 0.200 0.251 0.057 0.250 11.950

Problem 4267

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

29 27 26 15 14 14 27 14 14

N.S.

1 0.93 0.90 0.52 0.48 0.48 0.93 0.48 0.48

time (sec)

N/A 0.002 0.004 0.457 0.183 0.242 0.030 0.251 0.086

Problem 4268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 21 21 19 22 22 14 72 18

N.S.

1 0.95 0.95 0.86 1.00 1.00 0.64 3.27 0.82

time (sec)

N/A 0.029 0.085 1.798 0.220 0.248 0.046 0.240 11.926

Problem 4269

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

24 26 26 25 38 33 27 23 23

N.S.

1 1.08 1.08 1.04 1.58 1.38 1.12 0.96 0.96

time (sec)

N/A 0.042 0.010 0.172 0.192 0.258 0.064 0.248 11.992

Problem 4270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 54 85 50 48 44 53 52 68

N.S.

1 2.45 3.86 2.27 2.18 2.00 2.41 2.36 3.09

time (sec)

N/A 0.096 0.068 0.589 0.189 0.257 1.646 0.257 0.215

Problem 4271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 111 28 43 85 31 49 58 61

N.S.

1 4.27 1.08 1.65 3.27 1.19 1.88 2.23 2.35

time (sec)

N/A 1.065 0.086 3.540 0.236 0.257 0.375 0.275 12.375

Problem 4272

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 14 12 13 12 16 8 13 12

N.S.

1 0.93 0.80 0.87 0.80 1.07 0.53 0.87 0.80

time (sec)

N/A 0.016 0.012 0.287 0.175 0.240 0.039 0.246 0.055

Problem 4273

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

26 17 29 16 20 27 14 20 17

N.S.

1 0.65 1.12 0.62 0.77 1.04 0.54 0.77 0.65

time (sec)

N/A 0.013 0.014 2.204 0.184 0.236 0.068 0.243 11.957

Problem 4274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

14 0 10 10 12 9 14 9 9

N.S.

1 0.00 0.71 0.71 0.86 0.64 1.00 0.64 0.64

time (sec)

N/A 0.000 0.026 0.829 0.235 0.246 0.097 0.259 12.241

Problem 4275

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

15 28 15 16 53 16 15 16 14

N.S.

1 1.87 1.00 1.07 3.53 1.07 1.00 1.07 0.93

time (sec)

N/A 0.047 0.068 1.217 0.187 0.243 0.046 0.237 0.068

Problem 4276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

30 0 26 27 84 31 29 53 31

N.S.

1 0.00 0.87 0.90 2.80 1.03 0.97 1.77 1.03

time (sec)

N/A 0.000 0.159 13.167 0.339 0.251 0.487 0.595 13.367

Problem 4277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A C A A A B B

verified

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

size

30 0 29 173 55 46 24 67 167

N.S.

1 0.00 0.97 5.77 1.83 1.53 0.80 2.23 5.57

time (sec)

N/A 0.000 0.112 36.961 0.243 0.251 0.453 0.477 13.803

Problem 4278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 26 12 26 25 25 29 25 25

N.S.

1 2.17 1.00 2.17 2.08 2.08 2.42 2.08 2.08

time (sec)

N/A 0.045 0.230 1.181 0.230 0.249 0.087 0.264 11.993

Problem 4279

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 27 26 25 50 24 22 24 24

N.S.

1 1.42 1.37 1.32 2.63 1.26 1.16 1.26 1.26

time (sec)

N/A 0.276 0.041 1.797 0.188 0.262 0.077 0.268 12.354

Problem 4280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 31 37 19 347 18 15 282 0

N.S.

1 1.72 2.06 1.06 19.28 1.00 0.83 15.67 0.00

time (sec)

N/A 0.175 0.059 4.003 0.279 0.260 0.143 0.382 0.000

Problem 4281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F F B B B B B B

verified

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

size

30 0 0 65 106 61 61 249 81

N.S.

1 0.00 0.00 2.17 3.53 2.03 2.03 8.30 2.70

time (sec)

N/A 0.000 0.000 28.006 0.711 0.245 0.632 0.512 15.474

Problem 4282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 24 25 28 26 26 28 21

N.S.

1 0.00 1.00 1.04 1.17 1.08 1.08 1.17 0.88

time (sec)

N/A 0.000 0.377 1.604 0.322 0.259 0.128 0.269 13.970

Problem 4283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

39 99 54 42 0 47 41 65 57

N.S.

1 2.54 1.38 1.08 0.00 1.21 1.05 1.67 1.46

time (sec)

N/A 6.762 1.413 0.511 0.000 0.272 0.131 0.258 0.240

Problem 4284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 59 45 40 53 43 39 45 41

N.S.

1 2.57 1.96 1.74 2.30 1.87 1.70 1.96 1.78

time (sec)

N/A 0.166 0.230 1.038 0.182 0.246 0.077 0.251 13.482

Problem 4285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 33 38 147 145 219 199 0

N.S.

1 0.00 1.14 1.31 5.07 5.00 7.55 6.86 0.00

time (sec)

N/A 0.000 1.003 7.930 1.249 0.259 0.553 0.717 0.000

Problem 4286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B A B A A F B

verified

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

size

32 0 82 38 170 59 34 0 107

N.S.

1 0.00 2.56 1.19 5.31 1.84 1.06 0.00 3.34

time (sec)

N/A 0.000 0.463 41.535 0.496 0.271 0.576 0.000 13.199

Problem 4287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

18 0 18 22 21 18 24 60 16

N.S.

1 0.00 1.00 1.22 1.17 1.00 1.33 3.33 0.89

time (sec)

N/A 0.000 0.069 1.533 0.234 0.250 0.124 0.250 13.078

Problem 4288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 54 23 47 46 46 48 47 22

N.S.

1 2.70 1.15 2.35 2.30 2.30 2.40 2.35 1.10

time (sec)

N/A 0.036 0.073 0.363 0.192 0.255 0.052 0.249 0.090

Problem 4289

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 12 12 10 9 9 8 9 8

N.S.

1 0.92 0.92 0.77 0.69 0.69 0.62 0.69 0.62

time (sec)

N/A 0.002 0.000 0.258 0.189 0.241 0.016 0.255 0.003

Problem 4290

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

19 12 12 13 14 14 15 15 12

N.S.

1 0.63 0.63 0.68 0.74 0.74 0.79 0.79 0.63

time (sec)

N/A 0.003 0.002 0.461 0.187 0.236 0.037 0.249 0.053

Problem 4291

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

14 11 11 9 8 8 7 8 8

N.S.

1 0.79 0.79 0.64 0.57 0.57 0.50 0.57 0.57

time (sec)

N/A 0.002 0.004 0.309 0.187 0.247 0.031 0.245 12.868

Problem 4292

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 15 18 17 14 16 12 15 14

N.S.

1 0.60 0.72 0.68 0.56 0.64 0.48 0.60 0.56

time (sec)

N/A 0.005 0.006 0.571 0.181 0.244 0.055 0.253 0.042

Problem 4293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 55 41 29 38 29 41 37 19

N.S.

1 2.50 1.86 1.32 1.73 1.32 1.86 1.68 0.86

time (sec)

N/A 0.013 0.008 0.316 0.180 0.246 0.070 0.248 12.670

Problem 4294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

24 0 33 41 162 91 58 130 44

N.S.

1 0.00 1.38 1.71 6.75 3.79 2.42 5.42 1.83

time (sec)

N/A 0.000 5.084 6.234 0.292 0.269 0.527 0.272 13.018

Problem 4295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 0 36 34 53 53 0 34 92

N.S.

1 0.00 1.33 1.26 1.96 1.96 0.00 1.26 3.41

time (sec)

N/A 0.000 0.053 2.813 0.305 0.262 0.000 0.267 14.569

Problem 4296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

22 0 19 20 17 17 14 21 30

N.S.

1 0.00 0.86 0.91 0.77 0.77 0.64 0.95 1.36

time (sec)

N/A 0.000 0.162 6.986 0.311 0.243 0.054 0.261 14.246

Problem 4297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 45 19 20 17 26 20 0 17

N.S.

1 2.14 0.90 0.95 0.81 1.24 0.95 0.00 0.81

time (sec)

N/A 0.453 0.098 3.120 0.323 0.271 0.106 0.000 13.512

Problem 4298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

17 0 16 15 22 22 22 0 27

N.S.

1 0.00 0.94 0.88 1.29 1.29 1.29 0.00 1.59

time (sec)

N/A 0.000 1.927 0.987 0.698 0.243 0.099 0.000 13.374

Problem 4299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 83 30 42 369 63 60 76 22

N.S.

1 3.19 1.15 1.62 14.19 2.42 2.31 2.92 0.85

time (sec)

N/A 0.329 0.073 0.891 0.206 0.245 0.173 0.257 10.203

Problem 4300

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

21 12 12 11 10 12 12 10 10

N.S.

1 0.57 0.57 0.52 0.48 0.57 0.57 0.48 0.48

time (sec)

N/A 0.120 0.068 1.099 0.226 0.242 0.070 0.246 10.593

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