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Integrals 201 to 300

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 201

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

36 36 33 28 30 45 31 32 25

N.S.

1 1.00 0.92 0.78 0.83 1.25 0.86 0.89 0.69

time (sec)

N/A 0.009 0.017 0.248 0.182 0.230 0.050 0.282 0.052

Problem 202

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

87 87 87 60 90 165 88 62 65

N.S.

1 1.00 1.00 0.69 1.03 1.90 1.01 0.71 0.75

time (sec)

N/A 0.022 0.027 0.262 0.194 0.245 0.092 0.305 0.095

Problem 203

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 70 62 69 116 80 67 77

N.S.

1 1.00 0.86 0.77 0.85 1.43 0.99 0.83 0.95

time (sec)

N/A 0.051 0.035 0.849 0.263 0.238 0.102 0.311 0.115

Problem 204

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

104 104 87 60 90 165 90 62 90

N.S.

1 1.00 0.84 0.58 0.87 1.59 0.87 0.60 0.87

time (sec)

N/A 0.065 0.025 0.253 0.179 0.246 0.076 0.299 0.242

Problem 205

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

102 102 99 64 94 173 90 66 85

N.S.

1 1.00 0.97 0.63 0.92 1.70 0.88 0.65 0.83

time (sec)

N/A 0.039 0.052 0.284 0.178 0.236 0.091 0.292 0.246

Problem 206

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 35 39 39 37 47 37

N.S.

1 1.00 1.00 0.88 0.98 0.98 0.92 1.18 0.92

time (sec)

N/A 0.021 0.006 0.179 0.189 0.242 0.114 0.293 0.249

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 83 62 55 83 113 102 58 79

N.S.

1 1.00 0.75 0.66 1.00 1.36 1.23 0.70 0.95

time (sec)

N/A 0.043 0.025 0.292 0.261 0.233 0.323 0.288 0.149

Problem 208

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 43 32 31 37 42 31 31

N.S.

1 1.00 0.88 0.65 0.63 0.76 0.86 0.63 0.63

time (sec)

N/A 0.043 0.025 0.203 0.207 0.234 0.235 0.277 0.217

Problem 209

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 55 32 31 31 48 31 31

N.S.

1 1.00 1.00 0.58 0.56 0.56 0.87 0.56 0.56

time (sec)

N/A 0.192 0.193 0.216 0.195 0.241 1.214 0.312 0.066

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 22 19 18 18 19 18 18

N.S.

1 1.00 1.00 0.86 0.82 0.82 0.86 0.82 0.82

time (sec)

N/A 0.007 0.016 0.092 0.192 0.236 0.052 0.279 0.134

Problem 211

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

15 15 18 13 12 11 22 12 11

N.S.

1 1.00 1.20 0.87 0.80 0.73 1.47 0.80 0.73

time (sec)

N/A 0.005 0.017 0.040 0.217 0.233 0.486 0.275 0.031

Problem 212

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 25 24 21 20 19 20 21 19

N.S.

1 1.00 0.96 0.84 0.80 0.76 0.80 0.84 0.76

time (sec)

N/A 0.019 0.021 0.179 0.189 0.233 0.056 0.313 0.252

Problem 213

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 26 25 25 27 26 25

N.S.

1 1.00 0.94 0.79 0.76 0.76 0.82 0.79 0.76

time (sec)

N/A 0.022 0.356 0.065 0.190 0.239 0.525 0.309 0.291

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 24 17 19 19 134 19 16

N.S.

1 1.00 0.83 0.59 0.66 0.66 4.62 0.66 0.55

time (sec)

N/A 0.009 0.033 0.201 0.184 0.232 0.678 0.276 0.575

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 52 36 30 55 63 3966 49 43

N.S.

1 1.00 0.69 0.58 1.06 1.21 76.27 0.94 0.83

time (sec)

N/A 0.008 0.054 0.214 0.186 0.237 1.557 0.316 0.049

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

118 118 70 59 111 125 0 104 96

N.S.

1 1.00 0.59 0.50 0.94 1.06 0.00 0.88 0.81

time (sec)

N/A 0.025 0.094 0.310 0.190 0.240 0.000 0.299 0.233

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A C A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

104 104 90 85 105 86 12993 82 120

N.S.

1 1.00 0.87 0.82 1.01 0.83 124.93 0.79 1.15

time (sec)

N/A 0.034 0.242 0.642 0.291 0.254 37.158 0.314 0.244

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 64 39 43 32 0 29 43

N.S.

1 1.00 1.68 1.03 1.13 0.84 0.00 0.76 1.13

time (sec)

N/A 0.012 0.094 0.187 0.279 0.234 0.000 0.311 0.219

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 95 99 141 130 73 0 103 140

N.S.

1 1.03 1.08 1.53 1.41 0.79 0.00 1.12 1.52

time (sec)

N/A 0.055 0.380 0.161 0.294 0.238 0.000 0.311 0.377

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 47 64 0 65 0 74 95

N.S.

1 1.00 0.87 1.19 0.00 1.20 0.00 1.37 1.76

time (sec)

N/A 0.070 0.119 0.276 0.000 0.245 0.000 0.303 0.646

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

304 319 157 0 0 367 0 0 0

N.S.

1 1.05 0.52 0.00 0.00 1.21 0.00 0.00 0.00

time (sec)

N/A 0.645 11.239 0.000 0.000 0.263 0.000 0.000 0.000

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

292 522 455 0 0 785 0 0 0

N.S.

1 1.79 1.56 0.00 0.00 2.69 0.00 0.00 0.00

time (sec)

N/A 1.525 36.725 0.000 0.000 0.289 0.000 0.000 0.000

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 29 25 22 0 47 0 0 25

N.S.

1 1.16 1.00 0.88 0.00 1.88 0.00 0.00 1.00

time (sec)

N/A 0.012 0.022 0.229 0.000 0.234 0.000 0.000 0.259

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 30 25 22 0 69 0 0 25

N.S.

1 1.20 1.00 0.88 0.00 2.76 0.00 0.00 1.00

time (sec)

N/A 0.020 0.022 0.830 0.000 0.234 0.000 0.000 0.298

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

53 63 30 27 0 77 0 0 30

N.S.

1 1.19 0.57 0.51 0.00 1.45 0.00 0.00 0.57

time (sec)

N/A 0.021 0.051 1.448 0.000 0.226 0.000 0.000 0.257

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

67 188 123 370 0 128 0 0 0

N.S.

1 2.81 1.84 5.52 0.00 1.91 0.00 0.00 0.00

time (sec)

N/A 0.087 0.132 0.532 0.000 0.233 0.000 0.000 0.000

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

122 133 96 86 0 142 0 83 0

N.S.

1 1.09 0.79 0.70 0.00 1.16 0.00 0.68 0.00

time (sec)

N/A 0.225 0.120 0.762 0.000 0.250 0.000 0.344 0.000

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

150 404 229 1374 0 280 0 0 0

N.S.

1 2.69 1.53 9.16 0.00 1.87 0.00 0.00 0.00

time (sec)

N/A 0.229 0.550 5.166 0.000 0.244 0.000 0.000 0.000

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 39 26 51 64 0 23 27

N.S.

1 1.00 0.91 0.60 1.19 1.49 0.00 0.53 0.63

time (sec)

N/A 0.006 0.231 0.276 0.224 0.236 0.000 0.287 0.052

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

42 42 37 35 0 62 0 34 0

N.S.

1 1.00 0.88 0.83 0.00 1.48 0.00 0.81 0.00

time (sec)

N/A 0.045 0.025 0.154 0.000 0.242 0.000 0.275 0.000

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 139 58 71 0 138 0 75 0

N.S.

1 1.00 0.42 0.51 0.00 0.99 0.00 0.54 0.00

time (sec)

N/A 0.090 0.064 0.165 0.000 0.242 0.000 0.281 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 188 123 446 0 128 0 0 0

N.S.

1 2.51 1.64 5.95 0.00 1.71 0.00 0.00 0.00

time (sec)

N/A 0.094 0.131 0.566 0.000 0.238 0.000 0.000 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 23 20 0 22 0 0 24

N.S.

1 1.00 0.79 0.69 0.00 0.76 0.00 0.00 0.83

time (sec)

N/A 0.027 0.020 0.070 0.000 0.231 0.000 0.000 0.054

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 92 33 29 0 44 0 0 37

N.S.

1 1.00 0.36 0.32 0.00 0.48 0.00 0.00 0.40

time (sec)

N/A 0.071 0.051 0.083 0.000 0.255 0.000 0.000 0.092

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 32 15 16 33 20 36 16

N.S.

1 1.00 1.68 0.79 0.84 1.74 1.05 1.89 0.84

time (sec)

N/A 0.013 0.096 0.348 0.273 0.239 0.253 0.295 0.238

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

8 8 23 5 8 29 3 24 4

N.S.

1 1.00 2.88 0.62 1.00 3.62 0.38 3.00 0.50

time (sec)

N/A 0.005 0.082 0.293 0.279 0.268 0.245 0.275 0.237

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 33 12 11 40 12 31 11

N.S.

1 1.00 2.75 1.00 0.92 3.33 1.00 2.58 0.92

time (sec)

N/A 0.004 0.093 0.256 0.263 0.247 0.256 0.283 0.264

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 31 33 24 0 23 0 51 79

N.S.

1 1.00 1.06 0.77 0.00 0.74 0.00 1.65 2.55

time (sec)

N/A 0.006 0.144 0.582 0.000 0.244 0.000 0.286 0.583

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 31 40 22 0 54 0 57 61

N.S.

1 1.00 1.29 0.71 0.00 1.74 0.00 1.84 1.97

time (sec)

N/A 0.008 0.137 0.245 0.000 0.240 0.000 0.273 0.533

Problem 240

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

24 24 24 21 112 48 37 42 78

N.S.

1 1.00 1.00 0.88 4.67 2.00 1.54 1.75 3.25

time (sec)

N/A 0.015 0.060 0.339 0.274 0.240 2.274 0.266 0.831

Problem 241

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

25 25 25 21 101 32 24 20 83

N.S.

1 1.00 1.00 0.84 4.04 1.28 0.96 0.80 3.32

time (sec)

N/A 0.020 0.039 0.458 0.287 0.244 2.288 0.288 0.792

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 57 37 0 72 0 74 107

N.S.

1 1.00 1.33 0.86 0.00 1.67 0.00 1.72 2.49

time (sec)

N/A 0.021 0.164 0.598 0.000 0.249 0.000 0.312 0.115

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 62 49 54 74 0 109 0

N.S.

1 1.00 1.00 0.79 0.87 1.19 0.00 1.76 0.00

time (sec)

N/A 0.035 0.232 0.556 0.271 0.256 0.000 0.316 0.000

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 82 90 69 0 151 0 164 0

N.S.

1 1.00 1.10 0.84 0.00 1.84 0.00 2.00 0.00

time (sec)

N/A 0.103 0.373 0.783 0.000 0.252 0.000 0.323 0.000

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

63 63 102 53 0 237 0 165 0

N.S.

1 1.00 1.62 0.84 0.00 3.76 0.00 2.62 0.00

time (sec)

N/A 0.049 0.198 1.438 0.000 0.254 0.000 0.326 0.000

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 56 103 128 0 105 0 152 0

N.S.

1 1.00 1.84 2.29 0.00 1.88 0.00 2.71 0.00

time (sec)

N/A 0.037 0.184 1.034 0.000 0.253 0.000 0.304 0.000

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 70 123 158 0 229 0 257 0

N.S.

1 1.00 1.76 2.26 0.00 3.27 0.00 3.67 0.00

time (sec)

N/A 0.056 0.266 1.649 0.000 0.260 0.000 0.306 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 89 124 192 0 1339 0 629 0

N.S.

1 1.11 1.55 2.40 0.00 16.74 0.00 7.86 0.00

time (sec)

N/A 0.097 1.314 0.941 0.000 0.337 0.000 0.418 0.000

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 85 82 0 81 0 0 0

N.S.

1 1.00 2.24 2.16 0.00 2.13 0.00 0.00 0.00

time (sec)

N/A 0.019 0.574 0.537 0.000 0.234 0.000 0.000 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 57 40 48 42 153 36 35

N.S.

1 1.00 0.88 0.62 0.74 0.65 2.35 0.55 0.54

time (sec)

N/A 0.013 0.174 0.287 0.275 0.245 4.218 0.279 0.031

Problem 251

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 28 25 37 31 41 51 25

N.S.

1 1.00 0.57 0.51 0.76 0.63 0.84 1.04 0.51

time (sec)

N/A 0.009 0.050 0.234 0.280 0.263 1.065 0.289 0.035

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 49 28 25 37 44 139 26 187

N.S.

1 1.00 0.57 0.51 0.76 0.90 2.84 0.53 3.82

time (sec)

N/A 0.006 0.058 0.218 0.186 0.241 2.934 0.298 0.048

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 12 354 10 62 58 11 154

N.S.

1 1.00 1.00 29.50 0.83 5.17 4.83 0.92 12.83

time (sec)

N/A 0.041 0.020 0.075 0.188 0.243 0.738 0.272 0.275

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 26 11 10 37 29 22 24

N.S.

1 1.00 2.17 0.92 0.83 3.08 2.42 1.83 2.00

time (sec)

N/A 0.012 0.163 0.224 0.274 0.250 4.842 0.300 0.234

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 48 23 0 67 0 64 77

N.S.

1 1.00 1.78 0.85 0.00 2.48 0.00 2.37 2.85

time (sec)

N/A 0.011 0.125 0.266 0.000 0.250 0.000 0.296 0.180

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 48 55 38 0 83 0 101 117

N.S.

1 1.00 1.15 0.79 0.00 1.73 0.00 2.10 2.44

time (sec)

N/A 0.013 0.141 0.297 0.000 0.242 0.000 0.301 0.099

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 54 57 107 77 0 72 0

N.S.

1 1.00 1.32 1.39 2.61 1.88 0.00 1.76 0.00

time (sec)

N/A 0.019 0.191 0.454 0.271 0.234 0.000 0.324 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 47 50 0 50 0 123 115

N.S.

1 1.00 1.00 1.06 0.00 1.06 0.00 2.62 2.45

time (sec)

N/A 0.020 0.234 0.621 0.000 0.238 0.000 0.294 0.137

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 108 82 0 160 0 135 159

N.S.

1 1.00 1.23 0.93 0.00 1.82 0.00 1.53 1.81

time (sec)

N/A 0.194 0.333 1.450 0.000 0.248 0.000 0.319 0.474

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 136 106 654 0 170 0 176 216

N.S.

1 1.00 0.78 4.81 0.00 1.25 0.00 1.29 1.59

time (sec)

N/A 1.183 0.377 0.040 0.000 0.244 0.000 0.300 0.645

Problem 261

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

64 64 68 44 63 51 78 45 56

N.S.

1 1.00 1.06 0.69 0.98 0.80 1.22 0.70 0.88

time (sec)

N/A 0.017 0.133 0.470 0.275 0.240 0.252 0.280 0.106

Problem 262

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

89 89 76 57 81 60 92 54 75

N.S.

1 1.00 0.85 0.64 0.91 0.67 1.03 0.61 0.84

time (sec)

N/A 0.027 0.141 0.306 0.269 0.246 0.252 0.315 0.340

Problem 263

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

113 113 84 65 101 68 102 63 96

N.S.

1 1.00 0.74 0.58 0.89 0.60 0.90 0.56 0.85

time (sec)

N/A 0.032 0.153 0.323 0.276 0.238 0.275 0.311 0.139

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 49 78 35 54 62 0 71 0

N.S.

1 1.00 1.59 0.71 1.10 1.27 0.00 1.45 0.00

time (sec)

N/A 0.030 0.185 0.468 0.277 0.252 0.000 0.321 0.000

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 79 78 50 66 64 0 147 0

N.S.

1 1.00 0.99 0.63 0.84 0.81 0.00 1.86 0.00

time (sec)

N/A 0.032 0.325 0.563 0.268 0.238 0.000 0.301 0.000

Problem 266

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

12 12 20 10 11 18 14 34 12

N.S.

1 1.00 1.67 0.83 0.92 1.50 1.17 2.83 1.00

time (sec)

N/A 0.006 0.071 0.408 0.275 0.240 0.201 0.298 0.265

Problem 267

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

53 53 47 33 48 39 41 39 0

N.S.

1 1.00 0.89 0.62 0.91 0.74 0.77 0.74 0.00

time (sec)

N/A 0.021 0.107 0.418 0.278 0.232 0.237 0.329 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 19 16 22 34 0 15 13

N.S.

1 1.00 1.00 0.84 1.16 1.79 0.00 0.79 0.68

time (sec)

N/A 0.002 0.132 0.431 0.188 0.233 0.000 0.298 0.032

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 17 17 14 22 28 0 13 15

N.S.

1 1.00 1.00 0.82 1.29 1.65 0.00 0.76 0.88

time (sec)

N/A 0.003 0.129 0.428 0.189 0.234 0.000 0.308 0.026

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 56 47 33 47 64 0 38 0

N.S.

1 1.00 0.84 0.59 0.84 1.14 0.00 0.68 0.00

time (sec)

N/A 0.020 0.155 0.422 0.267 0.238 0.000 0.290 0.000

Problem 271

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 38 56 44 46 44 61

N.S.

1 1.00 0.80 0.58 0.86 0.68 0.71 0.68 0.94

time (sec)

N/A 0.019 0.096 0.419 0.271 0.234 0.232 0.310 0.133

Problem 272

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 52 38 56 44 85 44 43

N.S.

1 1.00 0.95 0.69 1.02 0.80 1.55 0.80 0.78

time (sec)

N/A 0.014 0.153 0.424 0.271 0.257 0.308 0.306 0.233

Problem 273

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

74 74 62 48 77 54 168 54 56

N.S.

1 1.00 0.84 0.65 1.04 0.73 2.27 0.73 0.76

time (sec)

N/A 0.015 0.255 0.420 0.274 0.246 0.451 0.288 0.074

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 33 31 37 52 0 67 31

N.S.

1 1.00 0.87 0.82 0.97 1.37 0.00 1.76 0.82

time (sec)

N/A 0.011 0.108 0.428 0.282 0.240 0.000 0.290 0.029

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 42 42 50 63 0 84 0

N.S.

1 1.00 0.74 0.74 0.88 1.11 0.00 1.47 0.00

time (sec)

N/A 0.021 0.120 0.428 0.283 0.256 0.000 0.290 0.000

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 45 41 58 94 0 80 0

N.S.

1 1.00 0.73 0.66 0.94 1.52 0.00 1.29 0.00

time (sec)

N/A 0.019 0.189 0.437 0.270 0.251 0.000 0.303 0.000

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 79 52 46 71 107 0 117 0

N.S.

1 1.00 0.66 0.58 0.90 1.35 0.00 1.48 0.00

time (sec)

N/A 0.036 0.201 0.517 0.279 0.239 0.000 0.287 0.000

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 18 22 25 30 0 32 0

N.S.

1 1.00 0.82 1.00 1.14 1.36 0.00 1.45 0.00

time (sec)

N/A 0.008 0.115 0.422 0.269 0.238 0.000 0.310 0.000

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 85 69 0 110 0 147 0

N.S.

1 1.00 0.99 0.80 0.00 1.28 0.00 1.71 0.00

time (sec)

N/A 0.249 0.281 0.453 0.000 0.262 0.000 0.339 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 71 56 61 92 0 149 0

N.S.

1 1.00 1.15 0.90 0.98 1.48 0.00 2.40 0.00

time (sec)

N/A 0.037 0.270 0.481 0.284 0.250 0.000 0.346 0.000

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 84 64 0 174 0 235 0

N.S.

1 1.00 1.11 0.84 0.00 2.29 0.00 3.09 0.00

time (sec)

N/A 0.053 0.611 0.836 0.000 0.243 0.000 0.293 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 26 21 28 22 0 30 19

N.S.

1 1.00 0.72 0.58 0.78 0.61 0.00 0.83 0.53

time (sec)

N/A 0.092 0.127 0.374 0.279 0.243 0.000 0.291 0.307

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 87 95 63 0 147 0 148 0

N.S.

1 1.00 1.09 0.72 0.00 1.69 0.00 1.70 0.00

time (sec)

N/A 0.163 0.539 1.822 0.000 0.251 0.000 0.300 0.000

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 58 39 38 76 98 0 33 69

N.S.

1 1.00 0.67 0.66 1.31 1.69 0.00 0.57 1.19

time (sec)

N/A 0.010 0.313 0.441 0.186 0.238 0.000 0.287 0.279

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 33 30 59 73 0 27 29

N.S.

1 1.00 0.70 0.64 1.26 1.55 0.00 0.57 0.62

time (sec)

N/A 0.006 0.217 0.325 0.177 0.246 0.000 0.293 0.057

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 47 33 30 59 51 0 39 29

N.S.

1 1.00 0.70 0.64 1.26 1.09 0.00 0.83 0.62

time (sec)

N/A 0.005 0.227 0.369 0.189 0.244 0.000 0.320 0.238

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 43 40 0 39 0 60 0

N.S.

1 1.00 1.48 1.38 0.00 1.34 0.00 2.07 0.00

time (sec)

N/A 0.028 0.291 0.072 0.000 0.255 0.000 0.292 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 59 54 52 0 63 0 66 0

N.S.

1 1.31 1.20 1.16 0.00 1.40 0.00 1.47 0.00

time (sec)

N/A 0.022 0.133 0.082 0.000 0.248 0.000 0.283 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 79 64 55 0 54 0 54 71

N.S.

1 1.00 0.81 0.70 0.00 0.68 0.00 0.68 0.90

time (sec)

N/A 0.104 0.206 0.049 0.000 0.244 0.000 0.279 0.074

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 72 80 0 99 0 105 0

N.S.

1 1.00 0.90 1.00 0.00 1.24 0.00 1.31 0.00

time (sec)

N/A 0.275 0.241 0.438 0.000 0.255 0.000 0.304 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 158 159 140 0 155 0 0 0

N.S.

1 1.00 1.01 0.89 0.00 0.98 0.00 0.00 0.00

time (sec)

N/A 0.422 5.512 0.023 0.000 0.253 0.000 0.000 0.000

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 31 30 38 28 131 29 29

N.S.

1 1.00 0.76 0.73 0.93 0.68 3.20 0.71 0.71

time (sec)

N/A 0.005 0.047 0.273 0.277 0.240 1.881 0.287 0.045

Problem 293

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 12 11 17 10 11 11

N.S.

1 1.00 1.00 0.92 0.85 1.31 0.77 0.85 0.85

time (sec)

N/A 0.004 0.033 0.023 0.192 0.246 0.231 0.298 0.480

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A C A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

71 71 85 67 76 80 541 76 90

N.S.

1 1.00 1.20 0.94 1.07 1.13 7.62 1.07 1.27

time (sec)

N/A 0.023 0.127 0.589 0.273 0.249 1.294 0.334 0.228

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

40 40 23 18 28 29 178 49 23

N.S.

1 1.00 0.58 0.45 0.70 0.72 4.45 1.22 0.58

time (sec)

N/A 0.007 0.027 0.315 0.189 0.236 0.877 0.282 0.217

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 48 48 53 52 52 51 53 36

N.S.

1 1.00 1.00 1.10 1.08 1.08 1.06 1.10 0.75

time (sec)

N/A 0.014 0.049 0.289 0.267 0.252 1.018 2.151 0.928

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 69 36 20 45 25 3303 63 45

N.S.

1 1.00 0.52 0.29 0.65 0.36 47.87 0.91 0.65

time (sec)

N/A 0.020 0.028 0.292 0.183 0.238 1.122 0.270 0.332

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A C C A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

193 193 120 85 157 120 44 142 77

N.S.

1 1.00 0.62 0.44 0.81 0.62 0.23 0.74 0.40

time (sec)

N/A 0.091 0.358 0.329 0.280 0.263 2.753 0.311 1.310

Problem 299

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

13 13 13 10 9 9 26 9 9

N.S.

1 1.00 1.00 0.77 0.69 0.69 2.00 0.69 0.69

time (sec)

N/A 0.002 0.014 0.342 0.188 0.248 0.115 0.298 0.306

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 13 10 9 9 12 9 9

N.S.

1 1.00 1.00 0.77 0.69 0.69 0.92 0.69 0.69

time (sec)

N/A 0.003 0.018 0.302 0.177 0.236 0.181 0.294 0.345

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