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2.2.3 Integrals 201 to 300

Detailed conclusion table per each integral is given by 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 just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F F(-1) F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

324 324 48 159 0 0 0 207 -1

N.S.

1 1.00 0.15 0.49 0.00 0.00 0.00 0.64 -0.00

time (sec)

N/A 0.387 10.068 0.334 0.000 0.000 0.000 1.781 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F F(-1) F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

412 412 48 192 0 0 0 258 -1

N.S.

1 1.00 0.12 0.47 0.00 0.00 0.00 0.63 -0.00

time (sec)

N/A 0.539 10.064 0.342 0.000 0.000 0.000 2.407 0.000

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

17 17 17 14 13 13 12 13 13

N.S.

1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76

time (sec)

N/A 0.007 0.001 0.036 0.288 2.515 0.010 1.638 0.022

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

17 17 17 14 13 13 12 13 13

N.S.

1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76

time (sec)

N/A 0.006 0.001 0.019 0.277 2.973 0.007 1.281 0.022

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

17 17 17 14 13 13 12 13 13

N.S.

1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76

time (sec)

N/A 0.002 0.000 0.020 0.274 3.556 0.007 1.460 0.022

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

17 17 17 14 13 13 12 13 13

N.S.

1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76

time (sec)

N/A 0.004 0.001 0.019 0.284 1.138 0.006 1.118 0.020

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 12 12 11 10 10 8 10 10

N.S.

1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 0.83

time (sec)

N/A 0.003 0.001 0.018 0.271 2.593 0.006 1.471 0.017

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 30 25 24 24 24 24 24

N.S.

1 1.00 1.00 0.83 0.80 0.80 0.80 0.80 0.80

time (sec)

N/A 0.023 0.002 0.430 0.283 1.282 0.009 1.439 0.040

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 30 25 24 24 26 24 24

N.S.

1 1.00 1.00 0.83 0.80 0.80 0.87 0.80 0.80

time (sec)

N/A 0.013 0.002 0.345 0.277 1.135 0.009 1.440 0.033

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 30 25 24 24 24 24 24

N.S.

1 1.00 1.00 0.83 0.80 0.80 0.80 0.80 0.80

time (sec)

N/A 0.011 0.001 0.334 0.286 1.316 0.008 1.419 0.031

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 30 25 24 24 26 24 24

N.S.

1 1.00 1.00 0.83 0.80 0.80 0.87 0.80 0.80

time (sec)

N/A 0.012 0.001 0.339 0.290 1.214 0.008 1.380 0.034

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 30 25 24 24 24 24 24

N.S.

1 1.00 1.00 0.83 0.80 0.80 0.80 0.80 0.80

time (sec)

N/A 0.012 0.001 0.330 0.267 1.147 0.009 0.983 0.032

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

57 57 57 52 52 52 49 53 51

N.S.

1 1.00 1.00 0.91 0.91 0.91 0.86 0.93 0.89

time (sec)

N/A 0.026 0.003 0.389 0.298 1.164 0.053 0.917 5.093

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

44 44 44 41 42 41 37 43 40

N.S.

1 1.00 1.00 0.93 0.95 0.93 0.84 0.98 0.91

time (sec)

N/A 0.018 0.003 0.354 0.291 1.430 0.043 1.743 0.042

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

31 31 31 30 29 29 26 30 29

N.S.

1 1.00 1.00 0.97 0.94 0.94 0.84 0.97 0.94

time (sec)

N/A 0.015 0.003 0.347 0.270 1.365 0.038 1.371 0.041

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 18 18 19 18 17 14 19 18

N.S.

1 1.00 1.00 1.06 1.00 0.94 0.78 1.06 1.00

time (sec)

N/A 0.011 0.002 0.354 0.290 1.348 0.031 1.032 0.036

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

10 10 10 11 10 10 7 11 10

N.S.

1 1.00 1.00 1.10 1.00 1.00 0.70 1.10 1.00

time (sec)

N/A 0.005 0.001 0.337 0.285 1.583 0.010 2.611 0.022

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 18 18 19 18 16 10 20 15

N.S.

1 1.00 1.00 1.06 1.00 0.89 0.56 1.11 0.83

time (sec)

N/A 0.005 0.003 0.342 0.294 1.495 0.062 1.902 5.120

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 28 28 29 28 26 19 30 25

N.S.

1 1.00 1.00 1.04 1.00 0.93 0.68 1.07 0.89

time (sec)

N/A 0.011 0.003 0.360 0.269 2.324 0.084 1.261 0.052

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

42 42 42 41 40 41 31 45 38

N.S.

1 1.00 1.00 0.98 0.95 0.98 0.74 1.07 0.90

time (sec)

N/A 0.015 0.004 0.343 0.269 1.895 0.085 1.617 0.059

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

56 56 56 53 51 54 44 56 48

N.S.

1 1.00 1.00 0.95 0.91 0.96 0.79 1.00 0.86

time (sec)

N/A 0.020 0.004 0.366 0.268 1.326 0.126 1.085 0.061

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

58 58 54 57 59 73 54 62 62

N.S.

1 1.00 0.93 0.98 1.02 1.26 0.93 1.07 1.07

time (sec)

N/A 0.028 0.015 0.368 0.279 1.386 0.081 1.117 0.038

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

46 46 43 46 47 62 44 48 50

N.S.

1 1.00 0.93 1.00 1.02 1.35 0.96 1.04 1.09

time (sec)

N/A 0.022 0.010 0.350 0.286 1.428 0.073 1.624 0.045

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 33 29 34 36 47 31 34 36

N.S.

1 1.00 0.88 1.03 1.09 1.42 0.94 1.03 1.09

time (sec)

N/A 0.016 0.010 0.358 0.267 1.470 0.066 1.670 0.040

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 23 20 24 26 28 20 24 23

N.S.

1 1.00 0.87 1.04 1.13 1.22 0.87 1.04 1.00

time (sec)

N/A 0.013 0.005 0.362 0.280 1.390 0.048 1.705 0.037

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 12 12 13 13 13 10 12 12

N.S.

1 1.00 1.00 1.08 1.08 1.08 0.83 1.00 1.00

time (sec)

N/A 0.005 0.002 0.406 0.282 1.430 0.045 1.672 5.169

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 24 30 28 39 22 31 26

N.S.

1 1.00 0.83 1.03 0.97 1.34 0.76 1.07 0.90

time (sec)

N/A 0.014 0.010 0.358 0.285 1.081 0.086 1.277 0.045

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

42 42 35 43 45 63 37 45 41

N.S.

1 1.00 0.83 1.02 1.07 1.50 0.88 1.07 0.98

time (sec)

N/A 0.017 0.027 0.356 0.270 1.767 0.116 1.112 5.343

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

58 58 53 57 64 86 54 64 57

N.S.

1 1.00 0.91 0.98 1.10 1.48 0.93 1.10 0.98

time (sec)

N/A 0.022 0.035 0.369 0.290 1.236 0.133 1.770 5.315

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

69 69 66 68 73 95 66 73 69

N.S.

1 1.00 0.96 0.99 1.06 1.38 0.96 1.06 1.00

time (sec)

N/A 0.026 0.038 0.372 0.273 1.579 0.146 1.093 0.071

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

84 84 79 79 86 108 80 86 79

N.S.

1 1.00 0.94 0.94 1.02 1.29 0.95 1.02 0.94

time (sec)

N/A 0.034 0.030 0.381 0.279 1.681 0.187 1.219 0.077

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

105 105 53 57 53 62 0 131 62

N.S.

1 1.00 0.50 0.54 0.50 0.59 0.00 1.25 0.59

time (sec)

N/A 0.079 0.025 0.362 0.303 1.200 0.000 1.412 5.487

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

80 80 42 46 42 51 0 108 51

N.S.

1 1.00 0.52 0.58 0.52 0.64 0.00 1.35 0.64

time (sec)

N/A 0.049 0.022 0.366 0.276 1.406 0.000 1.252 5.475

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

52 52 41 35 30 39 0 81 39

N.S.

1 1.00 0.79 0.67 0.58 0.75 0.00 1.56 0.75

time (sec)

N/A 0.028 0.016 0.376 0.289 1.558 0.000 1.665 5.302

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

25 25 23 27 12 26 0 50 -1

N.S.

1 1.00 0.92 1.08 0.48 1.04 0.00 2.00 -0.04

time (sec)

N/A 0.025 0.010 0.362 0.270 1.354 0.000 1.525 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 53 51 0 111 0 67 73

N.S.

1 1.00 1.04 1.00 0.00 2.18 0.00 1.31 1.43

time (sec)

N/A 0.033 0.035 0.371 0.000 1.796 0.000 1.264 5.357

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

52 52 64 56 0 127 0 45 -1

N.S.

1 1.00 1.23 1.08 0.00 2.44 0.00 0.87 -0.02

time (sec)

N/A 0.033 0.054 0.508 0.000 1.425 0.000 0.959 0.000

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

84 84 81 73 0 149 0 72 -1

N.S.

1 1.00 0.96 0.87 0.00 1.77 0.00 0.86 -0.01

time (sec)

N/A 0.065 0.089 0.424 0.000 1.737 0.000 1.369 0.000

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

112 112 93 89 0 175 0 92 -1

N.S.

1 1.00 0.83 0.79 0.00 1.56 0.00 0.82 -0.01

time (sec)

N/A 0.092 0.109 0.392 0.000 1.328 0.000 1.495 0.000

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

161 161 80 79 86 95 0 282 80

N.S.

1 1.00 0.50 0.49 0.53 0.59 0.00 1.75 0.50

time (sec)

N/A 0.156 0.033 0.369 0.296 1.768 0.000 1.281 5.238

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

136 136 69 68 75 84 0 246 69

N.S.

1 1.00 0.51 0.50 0.55 0.62 0.00 1.81 0.51

time (sec)

N/A 0.114 0.030 0.373 0.295 1.284 0.000 1.491 5.237

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

108 108 58 57 64 73 0 210 58

N.S.

1 1.00 0.54 0.53 0.59 0.68 0.00 1.94 0.54

time (sec)

N/A 0.093 0.027 0.360 0.284 1.461 0.000 1.388 5.187

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

80 80 47 46 53 62 0 173 47

N.S.

1 1.00 0.59 0.58 0.66 0.78 0.00 2.16 0.59

time (sec)

N/A 0.089 0.025 0.365 0.295 1.242 0.000 1.873 5.175

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

52 52 31 35 41 50 0 136 36

N.S.

1 1.00 0.60 0.67 0.79 0.96 0.00 2.62 0.69

time (sec)

N/A 0.059 0.022 0.363 0.290 1.100 0.000 1.336 5.174

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

25 25 23 27 28 37 0 89 28

N.S.

1 1.00 0.92 1.08 1.12 1.48 0.00 3.56 1.12

time (sec)

N/A 0.029 0.012 0.359 0.281 2.046 0.000 1.561 5.618

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

74 74 68 61 0 130 0 85 -1

N.S.

1 1.00 0.92 0.82 0.00 1.76 0.00 1.15 -0.01

time (sec)

N/A 0.066 0.049 0.371 0.000 2.751 0.000 1.282 0.000

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

73 73 66 72 0 136 0 62 -1

N.S.

1 1.00 0.90 0.99 0.00 1.86 0.00 0.85 -0.01

time (sec)

N/A 0.063 0.072 0.375 0.000 2.039 0.000 1.669 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

81 81 82 74 0 154 0 70 -1

N.S.

1 1.00 1.01 0.91 0.00 1.90 0.00 0.86 -0.01

time (sec)

N/A 0.063 0.103 0.375 0.000 1.098 0.000 1.030 0.000

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

109 109 94 87 0 175 0 92 -1

N.S.

1 1.00 0.86 0.80 0.00 1.61 0.00 0.84 -0.01

time (sec)

N/A 0.090 0.123 0.371 0.000 1.814 0.000 1.561 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

137 137 104 101 0 197 0 109 -1

N.S.

1 1.00 0.76 0.74 0.00 1.44 0.00 0.80 -0.01

time (sec)

N/A 0.121 0.141 0.508 0.000 0.940 0.000 2.269 0.000

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

165 165 116 113 0 219 0 126 -1

N.S.

1 1.00 0.70 0.68 0.00 1.33 0.00 0.76 -0.01

time (sec)

N/A 0.157 0.153 0.434 0.000 1.939 0.000 1.584 0.000

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 53 55 53 51 0 64 51

N.S.

1 1.00 0.51 0.53 0.51 0.50 0.00 0.62 0.50

time (sec)

N/A 0.101 0.025 0.366 0.286 1.229 0.000 1.752 5.188

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

75 75 42 44 42 40 0 52 40

N.S.

1 1.00 0.56 0.59 0.56 0.53 0.00 0.69 0.53

time (sec)

N/A 0.066 0.022 0.356 0.287 2.168 0.000 1.781 5.201

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

49 49 30 33 30 28 0 38 31

N.S.

1 1.00 0.61 0.67 0.61 0.57 0.00 0.78 0.63

time (sec)

N/A 0.037 0.016 0.349 0.282 2.877 0.000 1.145 5.164

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 23 21 25 12 21 0 27 17

N.S.

1 1.00 0.91 1.09 0.52 0.91 0.00 1.17 0.74

time (sec)

N/A 0.007 0.009 0.358 0.283 1.354 0.000 1.371 5.142

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 46 39 0 74 0 45 -1

N.S.

1 1.00 1.53 1.30 0.00 2.47 0.00 1.50 -0.03

time (sec)

N/A 0.007 0.020 0.364 0.000 1.359 0.000 1.250 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

54 54 60 55 0 127 0 51 -1

N.S.

1 1.00 1.11 1.02 0.00 2.35 0.00 0.94 -0.02

time (sec)

N/A 0.035 0.053 0.372 0.000 1.993 0.000 1.309 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

87 87 83 77 0 153 0 73 44

N.S.

1 1.00 0.95 0.89 0.00 1.76 0.00 0.84 0.51

time (sec)

N/A 0.061 0.076 0.382 0.000 1.286 0.000 1.114 5.408

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

115 115 96 95 0 175 0 88 -1

N.S.

1 1.00 0.83 0.83 0.00 1.52 0.00 0.77 -0.01

time (sec)

N/A 0.092 0.072 0.390 0.000 2.033 0.000 0.956 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

98 98 50 56 41 60 0 79 57

N.S.

1 1.00 0.51 0.57 0.42 0.61 0.00 0.81 0.58

time (sec)

N/A 0.096 0.025 0.372 0.286 1.101 0.000 1.654 5.282

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 39 46 30 49 0 64 47

N.S.

1 1.00 0.54 0.64 0.42 0.68 0.00 0.89 0.65

time (sec)

N/A 0.068 0.023 0.367 0.305 1.865 0.000 1.135 5.223

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

47 47 26 34 19 38 0 48 35

N.S.

1 1.00 0.55 0.72 0.40 0.81 0.00 1.02 0.74

time (sec)

N/A 0.041 0.016 0.371 0.292 1.451 0.000 0.884 5.175

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 21 19 27 12 29 0 27 28

N.S.

1 1.00 0.90 1.29 0.57 1.38 0.00 1.29 1.33

time (sec)

N/A 0.012 0.010 0.362 0.314 1.667 0.000 1.321 5.074

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

52 52 54 54 0 156 0 77 -1

N.S.

1 1.00 1.04 1.04 0.00 3.00 0.00 1.48 -0.02

time (sec)

N/A 0.041 0.030 0.370 0.000 1.473 0.000 1.314 0.000

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

75 75 62 62 0 189 0 72 -1

N.S.

1 1.00 0.83 0.83 0.00 2.52 0.00 0.96 -0.01

time (sec)

N/A 0.057 0.063 0.404 0.000 1.603 0.000 1.184 0.000

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 84 76 0 219 0 92 42

N.S.

1 1.00 0.76 0.69 0.00 1.99 0.00 0.84 0.38

time (sec)

N/A 0.074 0.095 0.395 0.000 1.518 0.000 1.437 5.432

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

138 138 96 86 0 241 0 107 -1

N.S.

1 1.00 0.70 0.62 0.00 1.75 0.00 0.78 -0.01

time (sec)

N/A 0.154 0.112 0.456 0.000 1.926 0.000 1.432 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

166 166 106 100 0 263 0 122 44

N.S.

1 1.00 0.64 0.60 0.00 1.58 0.00 0.73 0.27

time (sec)

N/A 0.284 0.148 0.459 0.000 1.599 0.000 1.126 5.683

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

125 125 102 103 0 180 0 83 -1

N.S.

1 1.00 0.82 0.82 0.00 1.44 0.00 0.66 -0.01

time (sec)

N/A 0.260 0.085 0.392 0.000 1.528 0.000 1.817 0.000

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

95 95 91 92 0 159 0 71 -1

N.S.

1 1.00 0.96 0.97 0.00 1.67 0.00 0.75 -0.01

time (sec)

N/A 0.200 0.073 0.380 0.000 1.332 0.000 1.956 0.000

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

60 60 71 79 0 131 0 55 -1

N.S.

1 1.00 1.18 1.32 0.00 2.18 0.00 0.92 -0.02

time (sec)

N/A 0.106 0.056 0.386 0.000 2.896 0.000 1.625 0.000

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

34 34 53 58 0 77 0 37 -1

N.S.

1 1.00 1.56 1.71 0.00 2.26 0.00 1.09 -0.03

time (sec)

N/A 0.030 0.036 0.372 0.000 2.841 0.000 2.386 0.000

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

25 25 23 27 0 21 0 34 -1

N.S.

1 1.00 0.92 1.08 0.00 0.84 0.00 1.36 -0.04

time (sec)

N/A 0.024 0.020 0.365 0.000 2.860 0.000 1.810 0.000

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

56 56 31 33 0 29 0 54 -1

N.S.

1 1.00 0.55 0.59 0.00 0.52 0.00 0.96 -0.02

time (sec)

N/A 0.056 0.061 0.372 0.000 1.725 0.000 1.537 0.000

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

86 86 44 46 0 40 0 81 -1

N.S.

1 1.00 0.51 0.53 0.00 0.47 0.00 0.94 -0.01

time (sec)

N/A 0.079 0.069 0.375 0.000 2.140 0.000 1.541 0.000

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

116 116 55 57 0 51 0 107 -1

N.S.

1 1.00 0.47 0.49 0.00 0.44 0.00 0.92 -0.01

time (sec)

N/A 0.111 0.078 0.364 0.000 1.840 0.000 2.174 0.000

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

61 61 59 0 0 0 0 0 -1

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.029 0.031 0.070 0.000 0.000 0.000 0.000 0.000

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 61 59 0 0 0 0 0 -1

N.S.

1 1.27 1.23 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.028 0.025 0.074 0.000 0.000 0.000 0.000 0.000

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

54 54 52 0 0 0 0 0 -1

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.027 0.024 0.085 0.000 0.000 0.000 0.000 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

32 32 30 36 0 38 0 0 54

N.S.

1 1.00 0.94 1.12 0.00 1.19 0.00 0.00 1.69

time (sec)

N/A 0.018 0.028 0.405 0.000 1.592 0.000 0.000 5.281

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

70 70 44 50 0 70 0 0 98

N.S.

1 1.00 0.63 0.71 0.00 1.00 0.00 0.00 1.40

time (sec)

N/A 0.039 0.045 0.396 0.000 2.060 0.000 0.000 5.275

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

116 116 72 84 0 111 0 0 157

N.S.

1 1.00 0.62 0.72 0.00 0.96 0.00 0.00 1.35

time (sec)

N/A 0.066 0.038 0.401 0.000 2.294 0.000 0.000 5.365

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

19 19 24 31 36 36 36 22 37

N.S.

1 1.00 1.26 1.63 1.89 1.89 1.89 1.16 1.95

time (sec)

N/A 0.007 0.006 0.372 0.282 1.978 0.157 0.936 5.110

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

80 80 46 48 46 42 0 65 42

N.S.

1 1.00 0.58 0.60 0.58 0.52 0.00 0.81 0.52

time (sec)

N/A 0.079 0.029 0.372 0.298 1.226 0.000 1.863 5.184

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

52 52 34 37 34 30 0 48 33

N.S.

1 1.00 0.65 0.71 0.65 0.58 0.00 0.92 0.63

time (sec)

N/A 0.045 0.023 0.372 0.303 3.074 0.000 1.948 5.327

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

25 25 25 27 14 21 0 29 21

N.S.

1 1.00 1.00 1.08 0.56 0.84 0.00 1.16 0.84

time (sec)

N/A 0.013 0.015 0.388 0.288 1.525 0.000 1.774 5.190

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

32 32 54 43 0 75 0 47 -1

N.S.

1 1.00 1.69 1.34 0.00 2.34 0.00 1.47 -0.03

time (sec)

N/A 0.009 0.022 0.386 0.000 1.326 0.000 1.730 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

59 59 76 66 0 127 0 55 -1

N.S.

1 1.00 1.29 1.12 0.00 2.15 0.00 0.93 -0.02

time (sec)

N/A 0.037 0.059 0.429 0.000 1.781 0.000 2.046 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

238 238 68 248 0 37 0 0 -1

N.S.

1 1.00 0.29 1.04 0.00 0.16 0.00 0.00 -0.00

time (sec)

N/A 0.092 10.026 0.431 0.000 0.439 0.000 0.000 0.000

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

212 212 52 231 0 14 0 0 -1

N.S.

1 1.00 0.25 1.09 0.00 0.07 0.00 0.00 -0.00

time (sec)

N/A 0.049 10.017 0.370 0.000 0.383 0.000 0.000 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F C F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

243 243 55 248 0 38 0 0 44

N.S.

1 1.00 0.23 1.02 0.00 0.16 0.00 0.00 0.18

time (sec)

N/A 0.087 10.021 0.387 0.000 0.348 0.000 0.000 5.712

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

514 514 68 676 0 45 0 0 -1

N.S.

1 1.00 0.13 1.32 0.00 0.09 0.00 0.00 -0.00

time (sec)

N/A 0.216 10.030 0.405 0.000 0.506 0.000 0.000 0.000

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

484 484 55 394 0 22 0 0 -1

N.S.

1 1.00 0.11 0.81 0.00 0.05 0.00 0.00 -0.00

time (sec)

N/A 0.132 10.016 0.455 0.000 0.675 0.000 0.000 0.000

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

510 510 50 673 0 46 0 0 -1

N.S.

1 1.00 0.10 1.32 0.00 0.09 0.00 0.00 -0.00

time (sec)

N/A 0.238 10.017 0.375 0.000 0.271 0.000 0.000 0.000

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F(-2) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

265 265 86 2017 0 0 0 0 -1

N.S.

1 1.00 0.32 7.61 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.207 10.036 0.476 0.000 0.000 0.000 0.000 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

525 525 70 2586 0 0 0 0 -1

N.S.

1 1.00 0.13 4.93 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.367 10.033 0.469 0.000 0.000 0.000 0.000 0.000

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

65 65 81 3347 0 148 0 52 -1

N.S.

1 1.00 1.25 51.49 0.00 2.28 0.00 0.80 -0.02

time (sec)

N/A 0.064 0.022 0.580 0.000 2.026 0.000 0.681 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

237 237 70 1793 0 0 0 0 -1

N.S.

1 1.00 0.30 7.57 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.161 10.039 0.591 0.000 0.000 0.000 0.000 0.000

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

492 492 57 2374 0 0 0 0 -1

N.S.

1 1.00 0.12 4.83 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.306 10.024 0.508 0.000 0.000 0.000 0.000 0.000

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 36 59 480 0 101 0 40 -1

N.S.

1 1.00 1.64 13.33 0.00 2.81 0.00 1.11 -0.03

time (sec)

N/A 0.032 0.008 0.524 0.000 2.765 0.000 0.532 0.000

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