2.2.23 Integrals 2201 to 2300

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 2201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B F B

verified

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

size

28 0 28 81 173 78 75 0 302

N.S.

1 0.00 1.00 2.89 6.18 2.79 2.68 0.00 10.79

time (sec)

N/A 0.000 0.671 13.171 0.758 0.246 0.337 0.000 9.324

Problem 2202

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 24 24 22 23 24 24 23 24

N.S.

1 0.92 0.92 0.85 0.88 0.92 0.92 0.88 0.92

time (sec)

N/A 0.382 0.139 0.570 0.375 0.240 0.154 0.286 9.405

Problem 2203

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 33 34 49 49 31 35 32

N.S.

1 0.00 1.10 1.13 1.63 1.63 1.03 1.17 1.07

time (sec)

N/A 0.000 0.048 0.436 0.226 0.249 0.078 0.258 9.134

Problem 2204

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

19 17 17 81 1368 101 112 112 109

N.S.

1 0.89 0.89 4.26 72.00 5.32 5.89 5.89 5.74

time (sec)

N/A 0.477 0.033 0.349 0.301 0.246 0.224 0.277 10.038

Problem 2205

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

28 26 26 28 36 41 36 198 25

N.S.

1 0.93 0.93 1.00 1.29 1.46 1.29 7.07 0.89

time (sec)

N/A 1.985 0.347 0.275 0.354 0.242 0.143 0.555 0.237

Problem 2206

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 31 32 23 24 38 20 23 22

N.S.

1 1.03 1.07 0.77 0.80 1.27 0.67 0.77 0.73

time (sec)

N/A 0.333 0.032 0.071 0.201 0.238 0.094 0.250 0.109

Problem 2207

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

28 38 27 37 38 40 32 40 36

N.S.

1 1.36 0.96 1.32 1.36 1.43 1.14 1.43 1.29

time (sec)

N/A 0.914 0.217 0.535 0.237 0.256 0.164 0.283 9.773

Problem 2208

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

33 0 43 29 50 42 27 88 187

N.S.

1 0.00 1.30 0.88 1.52 1.27 0.82 2.67 5.67

time (sec)

N/A 0.000 0.141 0.773 0.322 0.257 0.158 0.310 10.896

Problem 2209

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

18 18 18 15 14 39 14 14 14

N.S.

1 1.00 1.00 0.83 0.78 2.17 0.78 0.78 0.78

time (sec)

N/A 0.369 0.063 0.936 0.210 0.248 0.098 0.257 9.311

Problem 2210

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

28 30 33 25 79 34 20 40 22

N.S.

1 1.07 1.18 0.89 2.82 1.21 0.71 1.43 0.79

time (sec)

N/A 0.558 0.060 0.262 0.307 0.238 0.094 0.255 9.548

Problem 2211

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 13 12 16 12 12 12

N.S.

1 1.00 1.00 0.93 0.86 1.14 0.86 0.86 0.86

time (sec)

N/A 0.188 0.013 0.073 0.226 0.246 0.078 0.253 9.405

Problem 2212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A F B

verified

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

size

29 0 28 28 32 78 22 0 25

N.S.

1 0.00 0.97 0.97 1.10 2.69 0.76 0.00 0.86

time (sec)

N/A 0.000 1.106 0.526 0.449 0.244 0.153 0.000 9.265

Problem 2213

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

25 25 17 15 25 14 20 14 14

N.S.

1 1.00 0.68 0.60 1.00 0.56 0.80 0.56 0.56

time (sec)

N/A 0.197 0.066 0.040 0.219 0.237 0.062 0.253 0.070

Problem 2214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 0 55 52 110 110 109 128 0

N.S.

1 0.00 2.62 2.48 5.24 5.24 5.19 6.10 0.00

time (sec)

N/A 0.000 3.761 0.162 0.292 0.249 0.139 0.658 0.000

Problem 2215

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

35 138 105 116 119 149 116 114 116

N.S.

1 3.94 3.00 3.31 3.40 4.26 3.31 3.26 3.31

time (sec)

N/A 1.121 0.092 0.250 0.190 0.241 2.028 0.256 0.313

Problem 2216

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

28 27 26 23 25 22 22 0 28

N.S.

1 0.96 0.93 0.82 0.89 0.79 0.79 0.00 1.00

time (sec)

N/A 3.360 0.151 0.739 0.282 0.243 0.246 0.000 10.158

Problem 2217

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

17 17 17 14 14 14 14 13 14

N.S.

1 1.00 1.00 0.82 0.82 0.82 0.82 0.76 0.82

time (sec)

N/A 0.169 0.008 0.381 0.196 0.240 0.044 0.252 9.029

Problem 2218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 111 35 84 97 216 0 0 100

N.S.

1 3.26 1.03 2.47 2.85 6.35 0.00 0.00 2.94

time (sec)

N/A 5.291 0.511 33.218 0.494 0.271 0.000 0.000 10.010

Problem 2219

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 18 20 17 16 16 15 18 16

N.S.

1 0.82 0.91 0.77 0.73 0.73 0.68 0.82 0.73

time (sec)

N/A 0.212 0.007 0.031 0.193 0.236 0.050 0.254 9.306

Problem 2220

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

12 12 12 12 0 11 10 11 11

N.S.

1 1.00 1.00 1.00 0.00 0.92 0.83 0.92 0.92

time (sec)

N/A 0.335 0.079 0.138 0.000 0.240 0.066 0.254 9.362

Problem 2221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 125 39 46 60 53 56 53 0

N.S.

1 4.17 1.30 1.53 2.00 1.77 1.87 1.77 0.00

time (sec)

N/A 0.534 0.149 0.352 0.275 0.244 15.719 0.341 0.000

Problem 2222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

39 0 33 37 124 38 32 91 0

N.S.

1 0.00 0.85 0.95 3.18 0.97 0.82 2.33 0.00

time (sec)

N/A 0.000 0.092 8.441 0.531 0.237 0.202 0.639 0.000

Problem 2223

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 20 24 20 23 27 24 27 27

N.S.

1 1.05 1.26 1.05 1.21 1.42 1.26 1.42 1.42

time (sec)

N/A 0.343 0.108 0.283 0.289 0.237 0.068 0.261 9.566

Problem 2224

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 21 21 18 24 17 14 19 18

N.S.

1 0.84 0.84 0.72 0.96 0.68 0.56 0.76 0.72

time (sec)

N/A 0.821 0.091 0.214 0.314 0.242 0.062 0.253 0.158

Problem 2225

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 30 21 23 24 19 26 27

N.S.

1 0.00 1.00 0.70 0.77 0.80 0.63 0.87 0.90

time (sec)

N/A 0.000 2.469 0.166 0.224 0.240 0.201 0.256 9.588

Problem 2226

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

24 18 18 14 0 13 14 13 12

N.S.

1 0.75 0.75 0.58 0.00 0.54 0.58 0.54 0.50

time (sec)

N/A 0.197 0.033 0.232 0.000 0.243 0.094 0.253 9.328

Problem 2227

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 17 20 15 12 14 15 14 14

N.S.

1 0.85 1.00 0.75 0.60 0.70 0.75 0.70 0.70

time (sec)

N/A 0.260 0.005 0.217 0.221 0.257 0.058 0.251 9.377

Problem 2228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C A A A B

verified

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

size

24 0 22 21 52 21 19 21 28

N.S.

1 0.00 0.92 0.88 2.17 0.88 0.79 0.88 1.17

time (sec)

N/A 0.000 0.100 0.044 0.224 0.244 0.047 0.255 9.525

Problem 2229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B A B B

verified

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

size

28 0 39 83 77 82 41 94 45

N.S.

1 0.00 1.39 2.96 2.75 2.93 1.46 3.36 1.61

time (sec)

N/A 0.000 0.100 26.559 0.403 0.253 0.247 2.151 9.862

Problem 2230

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 15 19 15 14 14 14 14 14

N.S.

1 0.62 0.79 0.62 0.58 0.58 0.58 0.58 0.58

time (sec)

N/A 0.179 0.009 0.248 0.194 0.231 0.062 0.250 9.290

Problem 2231

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 3 3 4 3 3 2 3 3

N.S.

1 0.17 0.17 0.22 0.17 0.17 0.11 0.17 0.17

time (sec)

N/A 0.117 0.000 0.013 0.182 0.227 0.019 0.253 0.018

Problem 2232

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 45 28 27 28 30 26 30 26

N.S.

1 1.73 1.08 1.04 1.08 1.15 1.00 1.15 1.00

time (sec)

N/A 0.352 0.025 0.151 0.190 0.231 0.359 0.252 8.956

Problem 2233

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 14 15 15 15 15 28 14

N.S.

1 0.00 0.82 0.88 0.88 0.88 0.88 1.65 0.82

time (sec)

N/A 0.000 0.108 1.161 0.240 0.237 0.131 0.255 9.581

Problem 2234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 0 0 46 39 40 58 63 0

N.S.

1 0.00 0.00 1.70 1.44 1.48 2.15 2.33 0.00

time (sec)

N/A 0.000 0.000 0.663 0.315 0.249 0.080 0.264 0.000

Problem 2235

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

24 0 41 46 48 48 73 89 49

N.S.

1 0.00 1.71 1.92 2.00 2.00 3.04 3.71 2.04

time (sec)

N/A 0.000 0.353 1.668 0.225 0.250 0.134 0.261 9.307

Problem 2236

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 16 16 17 22 16 15 25 14

N.S.

1 0.80 0.80 0.85 1.10 0.80 0.75 1.25 0.70

time (sec)

N/A 0.212 0.010 0.283 0.183 0.230 0.044 0.247 0.063

Problem 2237

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

30 43 36 31 0 32 32 46 47

N.S.

1 1.43 1.20 1.03 0.00 1.07 1.07 1.53 1.57

time (sec)

N/A 0.444 0.159 0.479 0.000 0.240 0.137 0.259 9.158

Problem 2238

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

17 25 33 22 25 25 24 27 23

N.S.

1 1.47 1.94 1.29 1.47 1.47 1.41 1.59 1.35

time (sec)

N/A 0.295 0.015 0.044 0.277 0.239 0.062 0.256 0.117

Problem 2239

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 42 23 30 33 23 20 41 25

N.S.

1 1.40 0.77 1.00 1.10 0.77 0.67 1.37 0.83

time (sec)

N/A 1.368 11.609 0.163 0.325 0.256 0.120 0.276 8.569

Problem 2240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 81 20 18 0 19 0 19 17

N.S.

1 3.38 0.83 0.75 0.00 0.79 0.00 0.79 0.71

time (sec)

N/A 0.673 0.200 0.422 0.000 0.245 0.000 0.279 8.736

Problem 2241

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

28 38 29 34 27 32 31 0 28

N.S.

1 1.36 1.04 1.21 0.96 1.14 1.11 0.00 1.00

time (sec)

N/A 0.250 1.010 0.781 0.374 0.252 0.217 0.000 9.190

Problem 2242

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 24 22 22 24 21 22 23 21

N.S.

1 1.20 1.10 1.10 1.20 1.05 1.10 1.15 1.05

time (sec)

N/A 0.249 0.010 0.076 0.183 0.249 0.221 0.259 8.980

Problem 2243

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

27 44 29 24 0 26 20 26 24

N.S.

1 1.63 1.07 0.89 0.00 0.96 0.74 0.96 0.89

time (sec)

N/A 0.250 0.079 0.089 0.000 0.243 0.101 0.253 9.082

Problem 2244

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

25 25 23 23 23 22 19 0 22

N.S.

1 1.00 0.92 0.92 0.92 0.88 0.76 0.00 0.88

time (sec)

N/A 0.286 0.426 7.463 0.201 0.238 0.181 0.000 32.350

Problem 2245

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

17 17 17 16 17 17 15 17 17

N.S.

1 1.00 1.00 0.94 1.00 1.00 0.88 1.00 1.00

time (sec)

N/A 0.169 0.006 2.026 0.178 0.232 0.047 0.259 0.052

Problem 2246

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

11 30 30 31 30 29 29 29 11

N.S.

1 2.73 2.73 2.82 2.73 2.64 2.64 2.64 1.00

time (sec)

N/A 0.200 0.004 0.054 0.191 0.249 0.060 0.256 8.463

Problem 2247

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

17 0 18 15 14 20 10 33 15

N.S.

1 0.00 1.06 0.88 0.82 1.18 0.59 1.94 0.88

time (sec)

N/A 0.000 0.187 0.366 0.232 0.247 0.074 0.253 8.910

Problem 2248

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 18 26 17 13 17 14 13 14

N.S.

1 1.00 1.44 0.94 0.72 0.94 0.78 0.72 0.78

time (sec)

N/A 0.132 0.000 0.040 0.188 0.236 0.023 0.256 8.535

Problem 2249

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

20 24 24 27 26 26 24 26 0

N.S.

1 1.20 1.20 1.35 1.30 1.30 1.20 1.30 0.00

time (sec)

N/A 0.467 0.028 0.732 0.307 0.236 0.091 0.262 0.000

Problem 2250

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

27 43 35 30 41 36 27 40 30

N.S.

1 1.59 1.30 1.11 1.52 1.33 1.00 1.48 1.11

time (sec)

N/A 0.411 0.132 0.111 0.224 0.273 0.091 0.252 8.714

Problem 2251

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 13 13 14 13 15 10 13 16

N.S.

1 0.81 0.81 0.88 0.81 0.94 0.62 0.81 1.00

time (sec)

N/A 0.167 0.005 0.044 0.189 0.245 0.047 0.248 8.341

Problem 2252

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

27 104 96 107 201 253 202 181 67153

N.S.

1 3.85 3.56 3.96 7.44 9.37 7.48 6.70 2487.15

time (sec)

N/A 0.966 0.282 0.261 0.205 0.243 5.490 0.271 30.164

Problem 2253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B C B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 163 26 152 385 156 153 164 156

N.S.

1 6.79 1.08 6.33 16.04 6.50 6.38 6.83 6.50

time (sec)

N/A 1.375 3.629 0.901 0.321 0.255 0.314 0.274 8.837

Problem 2254

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 19 18 18 17 18 19

N.S.

1 1.00 1.00 0.95 0.90 0.90 0.85 0.90 0.95

time (sec)

N/A 0.273 1.027 0.075 0.306 0.234 0.116 0.267 0.114

Problem 2255

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

28 71 59 57 67 98 66 51 66

N.S.

1 2.54 2.11 2.04 2.39 3.50 2.36 1.82 2.36

time (sec)

N/A 0.348 0.039 0.095 0.195 0.237 0.181 0.252 8.159

Problem 2256

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 25 40 28 34 34 38 38

N.S.

1 0.00 1.04 1.67 1.17 1.42 1.42 1.58 1.58

time (sec)

N/A 0.000 0.039 25.194 0.327 0.239 1.348 0.342 10.124

Problem 2257

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 27 18 14 23 21 14 16 13

N.S.

1 1.35 0.90 0.70 1.15 1.05 0.70 0.80 0.65

time (sec)

N/A 0.321 0.043 0.038 0.184 0.247 0.057 0.250 8.387

Problem 2258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A B A B

verified

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

size

26 0 24 47 123 46 42 46 116

N.S.

1 0.00 0.92 1.81 4.73 1.77 1.62 1.77 4.46

time (sec)

N/A 0.000 0.766 3.833 0.359 0.237 0.122 0.438 9.474

Problem 2259

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 29 27 18 17 17 19 17 17

N.S.

1 1.61 1.50 1.00 0.94 0.94 1.06 0.94 0.94

time (sec)

N/A 0.263 0.049 0.085 0.195 0.251 0.062 0.255 0.096

Problem 2260

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

22 18 18 18 15 15 112 16 15

N.S.

1 0.82 0.82 0.82 0.68 0.68 5.09 0.73 0.68

time (sec)

N/A 0.149 0.006 0.304 0.187 0.250 1.577 0.263 0.107

Problem 2261

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 18 15 15 17 17 14 17 17

N.S.

1 0.95 0.79 0.79 0.89 0.89 0.74 0.89 0.89

time (sec)

N/A 0.465 0.447 0.245 0.241 0.252 0.065 0.252 8.330

Problem 2262

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 29 26 30 29 29 29 46 19

N.S.

1 1.32 1.18 1.36 1.32 1.32 1.32 2.09 0.86

time (sec)

N/A 0.176 0.041 0.210 0.192 0.258 0.084 0.254 8.400

Problem 2263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 29 34 35 33 41 35 0

N.S.

1 0.00 0.97 1.13 1.17 1.10 1.37 1.17 0.00

time (sec)

N/A 0.000 0.117 24.518 0.250 0.253 0.297 0.357 0.000

Problem 2264

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 37 28 27 27 27 22 22 26

N.S.

1 1.23 0.93 0.90 0.90 0.90 0.73 0.73 0.87

time (sec)

N/A 2.032 0.212 0.130 0.700 0.252 0.116 0.259 0.327

Problem 2265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 50 50 48 44 44 46 44 48

N.S.

1 2.17 2.17 2.09 1.91 1.91 2.00 1.91 2.09

time (sec)

N/A 0.195 0.011 0.061 0.190 0.233 0.024 0.251 8.680

Problem 2266

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

23 27 22 26 24 29 61 25 21

N.S.

1 1.17 0.96 1.13 1.04 1.26 2.65 1.09 0.91

time (sec)

N/A 0.188 0.005 0.083 0.191 0.240 0.103 0.253 0.065

Problem 2267

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

28 936 25 31 763 22 31 27 24

N.S.

1 33.43 0.89 1.11 27.25 0.79 1.11 0.96 0.86

time (sec)

N/A 1.936 0.552 0.293 1.205 0.276 0.130 0.286 0.413

Problem 2268

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 38 23 20 20 21 36 21 19

N.S.

1 1.41 0.85 0.74 0.74 0.78 1.33 0.78 0.70

time (sec)

N/A 0.798 0.158 0.325 0.231 0.251 0.065 0.268 9.041

Problem 2269

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

15 0 18 19 18 16 19 18 18

N.S.

1 0.00 1.20 1.27 1.20 1.07 1.27 1.20 1.20

time (sec)

N/A 0.000 0.006 0.054 0.193 0.242 0.054 0.256 0.051

Problem 2270

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 18 12 13 12 16 10 12 12

N.S.

1 0.82 0.55 0.59 0.55 0.73 0.45 0.55 0.55

time (sec)

N/A 0.353 0.005 0.027 0.197 0.247 0.033 0.254 8.030

Problem 2271

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

17 16 15 14 17 13 14 17 13

N.S.

1 0.94 0.88 0.82 1.00 0.76 0.82 1.00 0.76

time (sec)

N/A 0.250 0.223 1.003 0.326 0.250 0.232 0.274 9.269

Problem 2272

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 26 23 21 19 25 21

N.S.

1 0.00 0.92 1.08 0.96 0.88 0.79 1.04 0.88

time (sec)

N/A 0.000 0.282 0.816 0.229 0.242 0.113 0.285 8.657

Problem 2273

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 39 39 36 37 37 36 40 35

N.S.

1 1.44 1.44 1.33 1.37 1.37 1.33 1.48 1.30

time (sec)

N/A 0.419 0.021 0.062 0.199 0.240 0.083 0.266 0.173

Problem 2274

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 21 23 22 21 38 19 22 21

N.S.

1 0.72 0.79 0.76 0.72 1.31 0.66 0.76 0.72

time (sec)

N/A 0.305 0.019 0.048 0.188 0.249 0.053 0.255 7.962

Problem 2275

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

31 0 34 34 47 33 27 39 33

N.S.

1 0.00 1.10 1.10 1.52 1.06 0.87 1.26 1.06

time (sec)

N/A 0.000 0.331 0.814 0.339 0.257 0.132 0.370 8.782

Problem 2276

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 28 27 29 29 19 26 29

N.S.

1 0.00 1.08 1.04 1.12 1.12 0.73 1.00 1.12

time (sec)

N/A 0.000 0.298 0.414 0.223 0.240 0.092 0.264 7.865

Problem 2277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

28 0 25 25 81 102 0 104 79

N.S.

1 0.00 0.89 0.89 2.89 3.64 0.00 3.71 2.82

time (sec)

N/A 0.000 0.263 20.454 0.286 0.260 0.000 1.101 8.819

Problem 2278

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 23 23 19 23 18 20 18 18

N.S.

1 1.10 1.10 0.90 1.10 0.86 0.95 0.86 0.86

time (sec)

N/A 0.500 0.217 0.117 0.321 0.252 0.134 0.291 8.425

Problem 2279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A F B

verified

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

size

17 0 17 14 13 46 14 0 14

N.S.

1 0.00 1.00 0.82 0.76 2.71 0.82 0.00 0.82

time (sec)

N/A 0.000 0.880 0.302 0.303 0.257 0.804 0.000 8.213

Problem 2280

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 35 29 25 26 31 31 21 25

N.S.

1 1.30 1.07 0.93 0.96 1.15 1.15 0.78 0.93

time (sec)

N/A 0.218 0.013 0.063 0.181 0.240 0.088 0.251 8.124

Problem 2281

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

19 19 19 19 75 21 15 19 18

N.S.

1 1.00 1.00 1.00 3.95 1.11 0.79 1.00 0.95

time (sec)

N/A 0.199 0.023 0.054 0.310 0.243 0.060 0.268 8.060

Problem 2282

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 31 30 33 32 43 39 38 36

N.S.

1 1.07 1.03 1.14 1.10 1.48 1.34 1.31 1.24

time (sec)

N/A 0.224 0.015 0.075 0.187 0.234 0.070 0.255 0.081

Problem 2283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 56 26 84 0 23 36 37 0

N.S.

1 2.15 1.00 3.23 0.00 0.88 1.38 1.42 0.00

time (sec)

N/A 0.870 0.337 0.119 0.000 0.259 10.184 0.295 0.000

Problem 2284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A A B

verified

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

size

21 0 21 35 32 38 32 32 35

N.S.

1 0.00 1.00 1.67 1.52 1.81 1.52 1.52 1.67

time (sec)

N/A 0.000 1.604 0.753 0.353 0.245 0.174 0.319 8.334

Problem 2285

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

39 323 1272 532 648 668 728 785 655

N.S.

1 8.28 32.62 13.64 16.62 17.13 18.67 20.13 16.79

time (sec)

N/A 3.088 1.326 0.766 0.229 0.257 25.590 0.327 9.087

Problem 2286

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

30 38 38 31 70 29 26 33 31

N.S.

1 1.27 1.27 1.03 2.33 0.97 0.87 1.10 1.03

time (sec)

N/A 1.631 0.117 0.114 0.710 0.259 0.113 0.275 8.286

Problem 2287

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

31 0 28 33 27 31 24 31 27

N.S.

1 0.00 0.90 1.06 0.87 1.00 0.77 1.00 0.87

time (sec)

N/A 0.000 0.139 0.197 0.266 0.246 0.135 0.350 8.500

Problem 2288

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

9 9 9 7 6 6 7 6 6

N.S.

1 1.00 1.00 0.78 0.67 0.67 0.78 0.67 0.67

time (sec)

N/A 0.151 0.019 0.090 0.185 0.241 0.038 0.250 0.075

Problem 2289

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

22 32 35 31 31 31 34 28 28

N.S.

1 1.45 1.59 1.41 1.41 1.41 1.55 1.27 1.27

time (sec)

N/A 0.171 0.009 0.457 0.192 0.242 0.140 0.252 0.209

Problem 2290

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

22 0 21 31 25 21 24 38 19

N.S.

1 0.00 0.95 1.41 1.14 0.95 1.09 1.73 0.86

time (sec)

N/A 0.000 1.092 0.111 0.306 0.255 0.131 0.257 8.305

Problem 2291

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 18 18 18 17 17 15 17 18

N.S.

1 0.82 0.82 0.82 0.77 0.77 0.68 0.77 0.82

time (sec)

N/A 0.155 0.035 0.025 0.193 0.250 0.047 0.253 0.108

Problem 2292

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

36 0 25 26 34 25 24 31 29

N.S.

1 0.00 0.69 0.72 0.94 0.69 0.67 0.86 0.81

time (sec)

N/A 0.000 0.127 0.181 0.258 0.244 0.129 0.269 8.308

Problem 2293

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 11 10 10 8 16 10

N.S.

1 1.00 1.00 0.85 0.77 0.77 0.62 1.23 0.77

time (sec)

N/A 0.161 0.010 0.159 0.192 0.249 0.044 0.255 7.963

Problem 2294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 0 152 42 40 0 0 40

N.S.

1 0.00 0.00 4.90 1.35 1.29 0.00 0.00 1.29

time (sec)

N/A 0.000 0.000 0.266 0.391 0.255 0.000 0.000 10.025

Problem 2295

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

24 45 41 32 40 39 44 40 23

N.S.

1 1.88 1.71 1.33 1.67 1.62 1.83 1.67 0.96

time (sec)

N/A 0.167 0.004 0.077 0.182 0.238 0.028 0.249 7.564

Problem 2296

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

27 22 22 19 93 18 20 18 20

N.S.

1 0.81 0.81 0.70 3.44 0.67 0.74 0.67 0.74

time (sec)

N/A 0.296 0.045 0.080 0.315 0.246 0.095 0.255 0.107

Problem 2297

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

22 50 29 31 53 59 60 53 42

N.S.

1 2.27 1.32 1.41 2.41 2.68 2.73 2.41 1.91

time (sec)

N/A 0.175 0.005 0.057 0.199 0.238 0.026 0.247 0.098

Problem 2298

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 8 8 9 8 8 5 8 8

N.S.

1 0.80 0.80 0.90 0.80 0.80 0.50 0.80 0.80

time (sec)

N/A 0.187 0.005 0.263 0.198 0.232 0.034 0.250 0.131

Problem 2299

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 17 17 18 17 15 15 16 15

N.S.

1 0.63 0.63 0.67 0.63 0.56 0.56 0.59 0.56

time (sec)

N/A 0.187 0.006 0.059 0.198 0.244 0.056 0.253 8.219

Problem 2300

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

24 30 30 19 42 18 24 18 18

N.S.

1 1.25 1.25 0.79 1.75 0.75 1.00 0.75 0.75

time (sec)

N/A 0.585 0.074 0.419 0.333 0.240 0.461 0.412 12.427