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2.2.3 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 B B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 34 76 55 47 0 33 24

N.S.

1 1.00 1.48 3.30 2.39 2.04 0.00 1.43 1.04

time (sec)

N/A 0.223 0.117 0.426 0.209 0.247 0.000 0.282 4.475

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 27 36 23 39 0 0 23

N.S.

1 1.00 0.96 1.29 0.82 1.39 0.00 0.00 0.82

time (sec)

N/A 0.223 0.132 0.426 0.202 0.241 0.000 0.000 4.055

Problem 203

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

62 66 34 41 39 57 0 45 38

N.S.

1 1.06 0.55 0.66 0.63 0.92 0.00 0.73 0.61

time (sec)

N/A 0.248 0.145 0.435 0.199 0.241 0.000 0.291 0.036

Problem 204

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

95 130 43 50 55 77 0 65 55

N.S.

1 1.37 0.45 0.53 0.58 0.81 0.00 0.68 0.58

time (sec)

N/A 0.329 0.144 0.425 0.212 0.254 0.000 0.304 0.045

Problem 205

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

128 167 51 58 71 95 0 85 71

N.S.

1 1.30 0.40 0.45 0.55 0.74 0.00 0.66 0.55

time (sec)

N/A 0.360 0.157 0.420 0.209 0.246 0.000 0.331 0.048

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

44 44 44 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.283 0.023 0.000 0.000 0.000 0.000 0.000 0.000

Problem 207

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

91 78 56 50 63 68 68 75 63

N.S.

1 0.86 0.62 0.55 0.69 0.75 0.75 0.82 0.69

time (sec)

N/A 0.323 0.025 0.498 0.200 0.237 0.099 0.256 4.192

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

73 63 48 42 52 57 56 64 52

N.S.

1 0.86 0.66 0.58 0.71 0.78 0.77 0.88 0.71

time (sec)

N/A 0.310 0.022 0.524 0.200 0.238 0.089 0.279 0.040

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 47 39 34 41 45 41 52 41

N.S.

1 0.85 0.71 0.62 0.75 0.82 0.75 0.95 0.75

time (sec)

N/A 0.300 0.020 0.486 0.211 0.256 0.076 0.252 0.051

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

26 26 26 24 24 28 24 35 26

N.S.

1 1.00 1.00 0.92 0.92 1.08 0.92 1.35 1.00

time (sec)

N/A 0.270 0.013 0.421 0.191 0.241 0.075 0.262 0.044

Problem 211

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 15 14 14 12 15 14

N.S.

1 1.00 1.00 1.07 1.00 1.00 0.86 1.07 1.00

time (sec)

N/A 0.259 0.012 0.475 0.200 0.245 0.030 0.270 0.040

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 12 24 29 23 20 25 12

N.S.

1 1.00 1.00 2.00 2.42 1.92 1.67 2.08 1.00

time (sec)

N/A 0.261 0.012 0.477 0.208 0.239 0.096 0.266 0.062

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 32 32 40 48 46 39 46 31

N.S.

1 0.97 0.97 1.21 1.45 1.39 1.18 1.39 0.94

time (sec)

N/A 0.293 0.026 0.498 0.216 0.248 0.153 0.256 0.072

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 47 35 51 63 76 54 51 46

N.S.

1 0.92 0.69 1.00 1.24 1.49 1.06 1.00 0.90

time (sec)

N/A 0.303 0.032 0.500 0.202 0.255 0.182 0.253 0.077

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 62 44 57 84 113 78 89 65

N.S.

1 0.90 0.64 0.83 1.22 1.64 1.13 1.29 0.94

time (sec)

N/A 0.320 0.037 0.490 0.211 0.236 0.258 0.252 4.427

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F F(-1) F(-2) F(-1)

verified

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

size

94 94 96 0 0 0 0 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.268 0.079 0.000 0.000 0.000 0.000 0.000 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

152 152 86 157 244 114 0 0 199

N.S.

1 1.00 0.57 1.03 1.61 0.75 0.00 0.00 1.31

time (sec)

N/A 0.695 0.286 0.422 0.202 0.252 0.000 0.000 0.094

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 131 78 148 204 104 0 0 163

N.S.

1 1.02 0.60 1.15 1.58 0.81 0.00 0.00 1.26

time (sec)

N/A 0.556 0.219 0.412 0.205 0.251 0.000 0.000 4.544

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 99 68 136 156 81 0 0 117

N.S.

1 1.08 0.74 1.48 1.70 0.88 0.00 0.00 1.27

time (sec)

N/A 0.409 0.182 0.129 0.207 0.245 0.000 0.000 0.084

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

53 52 54 248 78 63 0 0 48

N.S.

1 0.98 1.02 4.68 1.47 1.19 0.00 0.00 0.91

time (sec)

N/A 0.274 0.169 0.413 0.219 0.244 0.000 0.000 4.202

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 26 25 22 22 0 0 22

N.S.

1 1.00 0.93 0.89 0.79 0.79 0.00 0.00 0.79

time (sec)

N/A 0.222 0.145 0.425 0.197 0.235 0.000 0.000 0.032

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 21 33 30 48 31 0 22 38

N.S.

1 1.00 1.57 1.43 2.29 1.48 0.00 1.05 1.81

time (sec)

N/A 0.215 0.156 0.424 0.203 0.249 0.000 0.279 4.202

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

61 61 50 45 65 58 0 0 50

N.S.

1 1.00 0.82 0.74 1.07 0.95 0.00 0.00 0.82

time (sec)

N/A 0.259 0.163 0.411 0.206 0.247 0.000 0.000 4.545

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 94 57 54 82 77 0 0 51

N.S.

1 1.00 0.61 0.57 0.87 0.82 0.00 0.00 0.54

time (sec)

N/A 0.391 0.172 0.408 0.200 0.248 0.000 0.000 4.154

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 129 66 63 97 96 0 0 60

N.S.

1 1.03 0.53 0.50 0.78 0.77 0.00 0.00 0.48

time (sec)

N/A 0.566 0.173 0.451 0.203 0.240 0.000 0.000 0.076

Problem 226

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

254 195 86 69 99 105 0 147 76

N.S.

1 0.77 0.34 0.27 0.39 0.41 0.00 0.58 0.30

time (sec)

N/A 0.313 0.076 0.411 0.223 0.244 0.000 0.290 4.528

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

197 157 78 61 83 94 0 0 102

N.S.

1 0.80 0.40 0.31 0.42 0.48 0.00 0.00 0.52

time (sec)

N/A 0.297 0.062 0.418 0.218 0.244 0.000 0.000 4.446

Problem 228

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

115 119 70 53 67 83 0 97 60

N.S.

1 1.03 0.61 0.46 0.58 0.72 0.00 0.84 0.52

time (sec)

N/A 0.262 0.054 0.409 0.214 0.259 0.000 0.286 4.397

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 87 57 43 45 64 0 0 50

N.S.

1 1.13 0.74 0.56 0.58 0.83 0.00 0.00 0.65

time (sec)

N/A 0.251 0.036 0.415 0.214 0.253 0.000 0.000 4.320

Problem 230

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

29 29 43 35 26 50 0 49 43

N.S.

1 1.00 1.48 1.21 0.90 1.72 0.00 1.69 1.48

time (sec)

N/A 0.208 0.025 0.407 0.211 0.248 0.000 0.269 4.388

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

118 105 99 83 0 239 0 94 0

N.S.

1 0.89 0.84 0.70 0.00 2.03 0.00 0.80 0.00

time (sec)

N/A 0.272 0.072 0.445 0.000 0.258 0.000 0.272 0.000

Problem 232

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

128 114 116 118 0 281 0 60 0

N.S.

1 0.89 0.91 0.92 0.00 2.20 0.00 0.47 0.00

time (sec)

N/A 0.272 0.079 0.446 0.000 0.254 0.000 0.295 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 154 123 167 0 337 0 78 0

N.S.

1 0.80 0.64 0.87 0.00 1.75 0.00 0.40 0.00

time (sec)

N/A 0.298 0.174 0.438 0.000 0.255 0.000 0.306 0.000

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

250 190 139 219 0 393 0 105 0

N.S.

1 0.76 0.56 0.88 0.00 1.57 0.00 0.42 0.00

time (sec)

N/A 0.317 0.176 0.426 0.000 0.272 0.000 0.325 0.000

Problem 235

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

40 46 34 21 32 60 58 205 32

N.S.

1 1.15 0.85 0.52 0.80 1.50 1.45 5.12 0.80

time (sec)

N/A 0.321 0.049 0.501 0.198 0.245 2.210 0.257 4.171

Problem 236

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

40 46 34 21 32 49 58 141 32

N.S.

1 1.15 0.85 0.52 0.80 1.22 1.45 3.52 0.80

time (sec)

N/A 0.319 0.047 0.523 0.194 0.245 2.139 0.261 0.037

Problem 237

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

40 46 30 21 32 32 58 71 32

N.S.

1 1.15 0.75 0.52 0.80 0.80 1.45 1.78 0.80

time (sec)

N/A 0.319 0.039 0.521 0.195 0.248 2.023 0.260 0.038

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 44 23 20 30 19 56 44 32

N.S.

1 1.16 0.61 0.53 0.79 0.50 1.47 1.16 0.84

time (sec)

N/A 0.309 0.031 0.483 0.206 0.244 2.057 0.263 0.034

Problem 239

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 42 21 20 30 29 54 32 19

N.S.

1 1.17 0.58 0.56 0.83 0.81 1.50 0.89 0.53

time (sec)

N/A 0.312 0.028 0.509 0.206 0.247 1.721 0.265 4.162

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 44 34 21 26 44 56 36 20

N.S.

1 1.16 0.89 0.55 0.68 1.16 1.47 0.95 0.53

time (sec)

N/A 0.325 0.064 0.518 0.197 0.248 1.752 0.259 0.036

Problem 241

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 46 34 21 24 56 58 34 20

N.S.

1 1.15 0.85 0.52 0.60 1.40 1.45 0.85 0.50

time (sec)

N/A 0.316 0.070 0.484 0.213 0.239 1.736 0.265 4.029

Problem 242

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

40 46 34 21 26 66 58 36 20

N.S.

1 1.15 0.85 0.52 0.65 1.65 1.45 0.90 0.50

time (sec)

N/A 0.316 0.071 0.508 0.196 0.250 1.924 0.270 3.934

Problem 243

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

197 157 77 64 106 105 0 130 110

N.S.

1 0.80 0.39 0.32 0.54 0.53 0.00 0.66 0.56

time (sec)

N/A 0.289 0.058 0.421 0.253 0.257 0.000 0.290 4.305

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 119 69 56 90 94 0 0 102

N.S.

1 0.87 0.50 0.41 0.66 0.69 0.00 0.00 0.74

time (sec)

N/A 0.272 0.048 0.429 0.216 0.240 0.000 0.000 4.296

Problem 245

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

89 87 59 48 74 83 0 80 93

N.S.

1 0.98 0.66 0.54 0.83 0.93 0.00 0.90 1.04

time (sec)

N/A 0.248 0.045 0.422 0.240 0.244 0.000 0.284 4.230

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 31 43 35 41 61 0 0 81

N.S.

1 1.00 1.39 1.13 1.32 1.97 0.00 0.00 2.61

time (sec)

N/A 0.214 0.040 0.418 0.279 0.245 0.000 0.000 4.679

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

163 138 105 107 0 250 0 0 0

N.S.

1 0.85 0.64 0.66 0.00 1.53 0.00 0.00 0.00

time (sec)

N/A 0.284 0.076 0.452 0.000 0.268 0.000 0.000 0.000

Problem 248

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

177 148 116 136 0 288 0 75 0

N.S.

1 0.84 0.66 0.77 0.00 1.63 0.00 0.42 0.00

time (sec)

N/A 0.289 0.159 0.452 0.000 0.265 0.000 0.305 0.000

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 158 125 174 0 341 0 78 0

N.S.

1 0.84 0.67 0.93 0.00 1.82 0.00 0.42 0.00

time (sec)

N/A 0.299 0.165 0.426 0.000 0.266 0.000 0.303 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

250 196 142 226 0 393 0 105 0

N.S.

1 0.78 0.57 0.90 0.00 1.57 0.00 0.42 0.00

time (sec)

N/A 0.324 0.160 0.434 0.000 0.254 0.000 0.304 0.000

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 234 147 278 0 449 0 129 0

N.S.

1 0.76 0.48 0.91 0.00 1.46 0.00 0.42 0.00

time (sec)

N/A 0.336 0.220 0.442 0.000 0.273 0.000 0.339 0.000

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

194 233 86 77 128 105 0 0 110

N.S.

1 1.20 0.44 0.40 0.66 0.54 0.00 0.00 0.57

time (sec)

N/A 0.323 0.074 0.421 0.242 0.248 0.000 0.000 4.323

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 195 78 69 112 94 0 0 102

N.S.

1 1.21 0.48 0.43 0.70 0.58 0.00 0.00 0.63

time (sec)

N/A 0.305 0.060 0.429 0.222 0.248 0.000 0.000 4.345

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

128 157 70 61 96 83 0 0 94

N.S.

1 1.23 0.55 0.48 0.75 0.65 0.00 0.00 0.73

time (sec)

N/A 0.288 0.053 0.429 0.230 0.246 0.000 0.000 4.299

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

95 119 60 53 72 64 0 0 82

N.S.

1 1.25 0.63 0.56 0.76 0.67 0.00 0.00 0.86

time (sec)

N/A 0.266 0.047 0.408 0.232 0.257 0.000 0.000 4.398

Problem 256

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

62 87 50 42 54 50 0 43 71

N.S.

1 1.40 0.81 0.68 0.87 0.81 0.00 0.69 1.15

time (sec)

N/A 0.244 0.037 0.434 0.216 0.246 0.000 0.274 4.413

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 28 35 29 44 0 0 34

N.S.

1 1.00 0.97 1.21 1.00 1.52 0.00 0.00 1.17

time (sec)

N/A 0.211 0.028 0.412 0.214 0.253 0.000 0.000 3.990

Problem 258

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

76 76 76 78 0 141 0 64 0

N.S.

1 1.00 1.00 1.03 0.00 1.86 0.00 0.84 0.00

time (sec)

N/A 0.249 0.056 0.451 0.000 0.254 0.000 0.277 0.000

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F(-1) F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 117 116 123 0 281 0 0 0

N.S.

1 0.86 0.85 0.90 0.00 2.07 0.00 0.00 0.00

time (sec)

N/A 0.275 0.087 0.433 0.000 0.259 0.000 0.000 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 155 125 172 0 341 0 88 0

N.S.

1 0.80 0.65 0.89 0.00 1.77 0.00 0.46 0.00

time (sec)

N/A 0.295 0.121 0.435 0.000 0.260 0.000 0.301 0.000

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

137 148 88 78 123 204 150 161 112

N.S.

1 1.08 0.64 0.57 0.90 1.49 1.09 1.18 0.82

time (sec)

N/A 0.388 0.089 0.574 0.296 0.248 2.900 0.269 0.094

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

116 126 80 71 109 182 133 134 95

N.S.

1 1.09 0.69 0.61 0.94 1.57 1.15 1.16 0.82

time (sec)

N/A 0.353 0.070 0.566 0.304 0.268 2.749 0.267 0.072

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

95 104 71 61 95 146 116 107 78

N.S.

1 1.09 0.75 0.64 1.00 1.54 1.22 1.13 0.82

time (sec)

N/A 0.343 0.052 0.556 0.295 0.266 2.612 0.271 4.072

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 82 61 57 79 119 99 77 61

N.S.

1 1.08 0.80 0.75 1.04 1.57 1.30 1.01 0.80

time (sec)

N/A 0.321 0.038 0.533 0.291 0.255 2.577 0.269 4.517

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 60 58 45 68 118 82 51 47

N.S.

1 1.03 1.00 0.78 1.17 2.03 1.41 0.88 0.81

time (sec)

N/A 0.318 0.031 0.546 0.299 0.248 1.734 0.267 4.021

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 37 29 52 88 66 36 28

N.S.

1 1.00 1.00 0.78 1.41 2.38 1.78 0.97 0.76

time (sec)

N/A 0.309 0.022 0.494 0.300 0.260 1.839 0.266 0.095

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 62 37 50 71 146 83 54 47

N.S.

1 1.09 0.65 0.88 1.25 2.56 1.46 0.95 0.82

time (sec)

N/A 0.320 0.029 0.513 0.287 0.264 1.970 0.260 4.259

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 91 39 64 81 196 104 73 65

N.S.

1 1.10 0.47 0.77 0.98 2.36 1.25 0.88 0.78

time (sec)

N/A 0.332 0.031 0.532 0.322 0.256 2.241 0.263 0.105

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 120 39 78 101 252 121 93 79

N.S.

1 1.15 0.38 0.75 0.97 2.42 1.16 0.89 0.76

time (sec)

N/A 0.349 0.036 0.550 0.293 0.261 2.466 0.266 0.102

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

368 267 84 88 152 105 0 0 110

N.S.

1 0.73 0.23 0.24 0.41 0.29 0.00 0.00 0.30

time (sec)

N/A 0.346 0.060 0.463 0.230 0.271 0.000 0.000 4.466

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

311 229 76 80 136 94 0 0 102

N.S.

1 0.74 0.24 0.26 0.44 0.30 0.00 0.00 0.33

time (sec)

N/A 0.329 0.053 0.448 0.220 0.245 0.000 0.000 4.854

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

254 191 68 72 120 83 0 0 94

N.S.

1 0.75 0.27 0.28 0.47 0.33 0.00 0.00 0.37

time (sec)

N/A 0.311 0.046 0.467 0.216 0.256 0.000 0.000 4.462

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

195 153 57 63 93 63 0 0 81

N.S.

1 0.78 0.29 0.32 0.48 0.32 0.00 0.00 0.42

time (sec)

N/A 0.287 0.040 0.482 0.219 0.243 0.000 0.000 4.418

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F(-1) F(-2) B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 115 48 55 75 50 0 0 71

N.S.

1 0.84 0.35 0.40 0.55 0.36 0.00 0.00 0.52

time (sec)

N/A 0.264 0.031 0.464 0.223 0.251 0.000 0.000 4.266

Problem 275

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

85 83 48 47 48 44 0 42 34

N.S.

1 0.98 0.56 0.55 0.56 0.52 0.00 0.49 0.40

time (sec)

N/A 0.242 0.035 0.460 0.220 0.251 0.000 0.276 4.406

Problem 276

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

29 29 41 35 45 43 0 41 32

N.S.

1 1.00 1.41 1.21 1.55 1.48 0.00 1.41 1.10

time (sec)

N/A 0.212 0.033 0.451 0.222 0.257 0.000 0.272 4.234

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F(-1) F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 101 122 85 0 235 0 0 0

N.S.

1 0.84 1.02 0.71 0.00 1.96 0.00 0.00 0.00

time (sec)

N/A 0.265 0.096 0.461 0.000 0.265 0.000 0.000 0.000

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 141 130 129 0 285 0 90 0

N.S.

1 0.77 0.71 0.70 0.00 1.55 0.00 0.49 0.00

time (sec)

N/A 0.290 0.315 0.467 0.000 0.282 0.000 0.299 0.000

Problem 279

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

99 112 41 62 110 57 0 59 94

N.S.

1 1.13 0.41 0.63 1.11 0.58 0.00 0.60 0.95

time (sec)

N/A 0.254 0.043 0.127 0.212 0.250 0.000 0.259 0.089

Problem 280

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

79 80 40 57 87 54 0 48 68

N.S.

1 1.01 0.51 0.72 1.10 0.68 0.00 0.61 0.86

time (sec)

N/A 0.226 0.029 0.098 0.223 0.245 0.000 0.268 0.043

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 21 22 50 24 0 15 18

N.S.

1 1.00 1.17 1.22 2.78 1.33 0.00 0.83 1.00

time (sec)

N/A 0.197 0.025 0.039 0.203 0.239 0.000 0.254 4.448

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

35 31 39 48 83 51 0 38 63

N.S.

1 0.89 1.11 1.37 2.37 1.46 0.00 1.09 1.80

time (sec)

N/A 0.206 0.023 0.094 0.208 0.243 0.000 0.266 4.011

Problem 283

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

133 144 52 70 138 66 0 71 118

N.S.

1 1.08 0.39 0.53 1.04 0.50 0.00 0.53 0.89

time (sec)

N/A 0.283 0.048 0.443 0.210 0.248 0.000 0.271 0.049

Problem 284

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

106 112 47 65 112 61 0 60 94

N.S.

1 1.06 0.44 0.61 1.06 0.58 0.00 0.57 0.89

time (sec)

N/A 0.240 0.035 0.443 0.233 0.250 0.000 0.266 0.049

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

71 74 52 70 138 66 0 72 118

N.S.

1 1.04 0.73 0.99 1.94 0.93 0.00 1.01 1.66

time (sec)

N/A 0.269 0.042 0.462 0.214 0.257 0.000 0.265 4.030

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

53 50 47 60 112 61 0 60 90

N.S.

1 0.94 0.89 1.13 2.11 1.15 0.00 1.13 1.70

time (sec)

N/A 0.238 0.032 0.478 0.205 0.254 0.000 0.270 4.274

Problem 287

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

22 22 15 16 26 15 0 14 26

N.S.

1 1.00 0.68 0.73 1.18 0.68 0.00 0.64 1.18

time (sec)

N/A 0.212 0.025 0.430 0.218 0.236 0.000 0.270 0.060

Problem 288

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 18 35 31 31 26 21 14

N.S.

1 1.00 0.82 1.59 1.41 1.41 1.18 0.95 0.64

time (sec)

N/A 0.200 0.016 0.438 0.199 0.245 2.091 0.264 0.033

Problem 289

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 51 41 64 74 66 0 65 43

N.S.

1 1.09 0.87 1.36 1.57 1.40 0.00 1.38 0.91

time (sec)

N/A 0.261 0.076 0.467 0.208 0.251 0.000 0.272 0.052

Problem 290

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

33 37 38 52 44 61 0 49 28

N.S.

1 1.12 1.15 1.58 1.33 1.85 0.00 1.48 0.85

time (sec)

N/A 0.233 0.045 0.459 0.257 0.253 0.000 0.267 4.249

Problem 291

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

45 45 36 56 44 44 0 44 28

N.S.

1 1.00 0.80 1.24 0.98 0.98 0.00 0.98 0.62

time (sec)

N/A 0.223 0.047 0.440 0.260 0.253 0.000 0.275 0.033

Problem 292

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 21 18 12 11 11 8 22 11

N.S.

1 1.00 0.86 0.57 0.52 0.52 0.38 1.05 0.52

time (sec)

N/A 0.187 0.016 0.437 0.213 0.239 3.339 0.275 0.190

Problem 293

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

55 60 43 64 56 84 0 79 40

N.S.

1 1.09 0.78 1.16 1.02 1.53 0.00 1.44 0.73

time (sec)

N/A 0.283 0.062 0.482 0.209 0.239 0.000 0.272 4.623

Problem 294

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

24 24 24 22 13 31 0 46 13

N.S.

1 1.00 1.00 0.92 0.54 1.29 0.00 1.92 0.54

time (sec)

N/A 0.202 0.020 0.464 0.223 0.266 0.000 0.264 0.025

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

65 65 67 0 0 0 0 0 0

N.S.

1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.294 0.034 0.000 0.000 0.000 0.000 0.000 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

140 118 67 49 55 69 0 0 57

N.S.

1 0.84 0.48 0.35 0.39 0.49 0.00 0.00 0.41

time (sec)

N/A 0.300 0.050 0.444 0.240 0.243 0.000 0.000 4.653

Problem 297

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 86 56 41 41 61 0 81 49

N.S.

1 0.93 0.61 0.45 0.45 0.66 0.00 0.88 0.53

time (sec)

N/A 0.259 0.032 0.454 0.240 0.250 0.000 0.274 4.585

Problem 298

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

29 29 43 35 26 50 0 49 43

N.S.

1 1.00 1.48 1.21 0.90 1.72 0.00 1.69 1.48

time (sec)

N/A 0.205 0.014 0.432 0.257 0.246 0.000 0.267 0.003

Problem 299

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

94 78 75 70 0 207 0 88 0

N.S.

1 0.83 0.80 0.74 0.00 2.20 0.00 0.94 0.00

time (sec)

N/A 0.284 0.050 0.472 0.000 0.266 0.000 0.276 0.000

Problem 300

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

97 76 76 78 0 229 0 101 0

N.S.

1 0.78 0.78 0.80 0.00 2.36 0.00 1.04 0.00

time (sec)

N/A 0.284 0.045 0.468 0.000 0.280 0.000 0.289 0.000

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