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 C B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 19 60 46 76 0 43 23

N.S.

1 1.00 1.00 3.16 2.42 4.00 0.00 2.26 1.21

time (sec)

N/A 0.242 0.021 0.236 0.284 0.252 0.000 0.269 2.183

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 80 69 42 0 213 0 71 71

N.S.

1 1.16 1.00 0.61 0.00 3.09 0.00 1.03 1.03

time (sec)

N/A 0.297 0.097 0.261 0.000 0.271 0.000 0.342 0.788

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 87 81 60 0 306 0 81 82

N.S.

1 1.00 0.93 0.69 0.00 3.52 0.00 0.93 0.94

time (sec)

N/A 0.409 0.148 0.306 0.000 0.267 0.000 0.288 3.388

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 93 87 84 0 300 0 100 98

N.S.

1 1.07 1.00 0.97 0.00 3.45 0.00 1.15 1.13

time (sec)

N/A 0.370 0.093 0.293 0.000 0.280 0.000 0.273 3.442

Problem 205

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

81 81 77 0 0 0 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.268 0.184 0.000 0.000 0.000 0.000 0.000 0.000

Problem 206

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

10 14 10 9 16 42 0 16 16

N.S.

1 1.40 1.00 0.90 1.60 4.20 0.00 1.60 1.60

time (sec)

N/A 0.201 0.008 0.199 0.271 0.257 0.000 0.256 0.055

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 20 17 49 118 0 36 47

N.S.

1 1.00 1.00 0.85 2.45 5.90 0.00 1.80 2.35

time (sec)

N/A 0.203 0.017 0.200 0.272 0.263 0.000 0.269 0.082

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 30 28 72 60 128 0 54 52

N.S.

1 1.07 1.00 2.57 2.14 4.57 0.00 1.93 1.86

time (sec)

N/A 0.266 0.023 0.244 0.274 0.257 0.000 0.263 2.153

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 82 76 42 0 293 0 75 141

N.S.

1 1.00 0.93 0.51 0.00 3.57 0.00 0.91 1.72

time (sec)

N/A 0.369 0.165 0.256 0.000 0.254 0.000 0.280 4.069

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 42 38 102 0 164 0 68 56

N.S.

1 1.11 1.00 2.68 0.00 4.32 0.00 1.79 1.47

time (sec)

N/A 0.291 0.043 0.243 0.000 0.270 0.000 0.274 2.325

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 16 42 39 42 35 0 38 35

N.S.

1 1.00 2.62 2.44 2.62 2.19 0.00 2.38 2.19

time (sec)

N/A 0.189 0.061 1.183 0.270 0.252 0.000 0.258 0.100

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 27 17 26 45 52 0 41 27

N.S.

1 1.29 0.81 1.24 2.14 2.48 0.00 1.95 1.29

time (sec)

N/A 0.207 0.008 1.229 0.268 0.253 0.000 0.260 2.196

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 110 40 0 215 0 115 251

N.S.

1 1.00 1.55 0.56 0.00 3.03 0.00 1.62 3.54

time (sec)

N/A 0.252 0.038 1.228 0.000 0.261 0.000 0.342 2.120

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 80 57 101 0 182 0 118 100

N.S.

1 1.29 0.92 1.63 0.00 2.94 0.00 1.90 1.61

time (sec)

N/A 0.311 0.057 1.320 0.000 0.246 0.000 0.291 2.172

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 269 78 0 250 0 154 288

N.S.

1 1.00 3.16 0.92 0.00 2.94 0.00 1.81 3.39

time (sec)

N/A 0.304 0.071 1.254 0.000 0.264 0.000 0.283 2.440

Problem 216

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

7 7 7 6 7 6 0 3 3

N.S.

1 1.00 1.00 0.86 1.00 0.86 0.00 0.43 0.43

time (sec)

N/A 0.213 0.001 0.233 0.269 0.249 0.000 0.269 0.048

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 15 40 39 31 0 19 19

N.S.

1 1.00 1.00 2.67 2.60 2.07 0.00 1.27 1.27

time (sec)

N/A 0.205 0.021 0.251 0.273 0.253 0.000 0.299 0.068

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 62 50 76 0 44 42

N.S.

1 1.00 1.00 2.38 1.92 2.92 0.00 1.69 1.62

time (sec)

N/A 0.208 0.017 0.272 0.269 0.257 0.000 0.280 0.074

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 87 84 41 0 243 0 68 282

N.S.

1 1.16 1.12 0.55 0.00 3.24 0.00 0.91 3.76

time (sec)

N/A 0.278 0.091 0.295 0.000 0.258 0.000 0.283 4.994

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 38 30 92 0 107 0 58 41

N.S.

1 1.06 0.83 2.56 0.00 2.97 0.00 1.61 1.14

time (sec)

N/A 0.241 0.018 0.271 0.000 0.250 0.000 0.265 0.206

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

8 23 15 12 27 19 20 25 6

N.S.

1 2.88 1.88 1.50 3.38 2.38 2.50 3.12 0.75

time (sec)

N/A 0.181 0.003 0.321 0.198 0.254 0.130 0.249 0.056

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A B B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 25 17 14 27 33 20 26 11

N.S.

1 1.47 1.00 0.82 1.59 1.94 1.18 1.53 0.65

time (sec)

N/A 0.179 0.006 0.428 0.180 0.243 0.140 0.258 2.097

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 25 17 14 27 36 20 27 14

N.S.

1 1.47 1.00 0.82 1.59 2.12 1.18 1.59 0.82

time (sec)

N/A 0.181 0.004 0.405 0.180 0.237 0.130 0.266 2.089

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 25 28 0 42 42 59 26

N.S.

1 1.00 0.71 0.80 0.00 1.20 1.20 1.69 0.74

time (sec)

N/A 0.212 0.025 0.338 0.000 0.247 0.248 0.259 0.083

Problem 225

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

15 15 15 12 27 17 20 25 9

N.S.

1 1.00 1.00 0.80 1.80 1.13 1.33 1.67 0.60

time (sec)

N/A 0.178 0.005 0.326 0.185 0.248 0.125 0.265 0.057

Problem 226

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

17 17 17 14 27 20 20 27 20

N.S.

1 1.00 1.00 0.82 1.59 1.18 1.18 1.59 1.18

time (sec)

N/A 0.178 0.004 0.434 0.186 0.263 0.130 0.259 2.129

Problem 227

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

17 17 17 14 27 34 20 27 15

N.S.

1 1.00 1.00 0.82 1.59 2.00 1.18 1.59 0.88

time (sec)

N/A 0.176 0.004 0.411 0.189 0.238 0.129 0.274 2.151

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 25 28 0 42 56 59 26

N.S.

1 1.00 0.71 0.80 0.00 1.20 1.60 1.69 0.74

time (sec)

N/A 0.202 0.020 0.312 0.000 0.251 0.255 0.256 0.070

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 27 51 16 52 73 0 45 48

N.S.

1 1.42 2.68 0.84 2.74 3.84 0.00 2.37 2.53

time (sec)

N/A 0.203 0.042 0.194 0.283 0.252 0.000 0.263 2.132

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 55 17 153 82 0 45 53

N.S.

1 1.00 2.75 0.85 7.65 4.10 0.00 2.25 2.65

time (sec)

N/A 0.198 0.053 0.196 0.287 0.255 0.000 0.259 2.145

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 80 113 42 0 213 0 119 133

N.S.

1 1.16 1.64 0.61 0.00 3.09 0.00 1.72 1.93

time (sec)

N/A 0.282 0.033 0.304 0.000 0.260 0.000 0.351 0.078

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 82 249 42 0 293 0 127 141

N.S.

1 1.00 3.04 0.51 0.00 3.57 0.00 1.55 1.72

time (sec)

N/A 0.317 0.033 0.272 0.000 0.262 0.000 0.303 0.093

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 93 281 79 0 258 0 157 170

N.S.

1 1.07 3.23 0.91 0.00 2.97 0.00 1.80 1.95

time (sec)

N/A 0.356 0.068 0.303 0.000 0.259 0.000 0.287 0.100

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

10 14 25 16 29 52 0 26 29

N.S.

1 1.40 2.50 1.60 2.90 5.20 0.00 2.60 2.90

time (sec)

N/A 0.194 0.021 0.313 0.191 0.249 0.000 0.254 2.121

Problem 235

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

45 55 47 50 57 104 0 55 57

N.S.

1 1.22 1.04 1.11 1.27 2.31 0.00 1.22 1.27

time (sec)

N/A 0.295 0.027 0.257 0.276 0.251 0.000 0.263 0.060

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 30 73 63 70 101 0 67 71

N.S.

1 1.07 2.61 2.25 2.50 3.61 0.00 2.39 2.54

time (sec)

N/A 0.264 0.051 0.248 0.275 0.266 0.000 0.255 0.071

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 110 133 190 0 272 0 157 143

N.S.

1 1.00 1.21 1.73 0.00 2.47 0.00 1.43 1.30

time (sec)

N/A 0.411 0.105 0.276 0.000 0.264 0.000 0.296 0.097

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 42 95 87 0 157 0 89 101

N.S.

1 1.11 2.50 2.29 0.00 4.13 0.00 2.34 2.66

time (sec)

N/A 0.298 0.056 0.285 0.000 0.261 0.000 0.254 0.089

Problem 239

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

76 76 75 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.264 0.321 0.000 0.000 0.000 0.000 0.000 0.000

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 15 44 43 68 0 39 32

N.S.

1 1.00 1.00 2.93 2.87 4.53 0.00 2.60 2.13

time (sec)

N/A 0.191 0.006 1.274 0.278 0.252 0.000 0.272 2.180

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 15 40 114 31 0 19 19

N.S.

1 1.00 1.00 2.67 7.60 2.07 0.00 1.27 1.27

time (sec)

N/A 0.197 0.020 1.375 0.277 0.248 0.000 0.259 2.129

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 67 40 0 215 0 135 126

N.S.

1 1.00 0.94 0.56 0.00 3.03 0.00 1.90 1.77

time (sec)

N/A 0.239 0.072 1.448 0.000 0.259 0.000 0.359 1.501

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 89 84 41 0 243 0 68 297

N.S.

1 1.19 1.12 0.55 0.00 3.24 0.00 0.91 3.96

time (sec)

N/A 0.293 0.088 1.189 0.000 0.253 0.000 0.282 4.779

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 85 81 83 0 282 0 177 206

N.S.

1 1.00 0.95 0.98 0.00 3.32 0.00 2.08 2.42

time (sec)

N/A 0.267 0.055 1.282 0.000 0.266 0.000 0.266 4.266

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

7 7 21 8 19 19 0 16 19

N.S.

1 1.00 3.00 1.14 2.71 2.71 0.00 2.29 2.71

time (sec)

N/A 0.210 0.010 0.255 0.204 0.264 0.000 0.256 0.060

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 27 21 24 47 52 0 40 29

N.S.

1 1.29 1.00 1.14 2.24 2.48 0.00 1.90 1.38

time (sec)

N/A 0.197 0.008 0.271 0.267 0.252 0.000 0.281 0.070

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 67 53 60 54 0 57 61

N.S.

1 1.00 2.58 2.04 2.31 2.08 0.00 2.19 2.35

time (sec)

N/A 0.213 0.061 0.271 0.275 0.250 0.000 0.276 0.062

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 80 57 101 0 180 0 108 104

N.S.

1 1.29 0.92 1.63 0.00 2.90 0.00 1.74 1.68

time (sec)

N/A 0.309 0.068 0.290 0.000 0.259 0.000 0.280 2.217

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 37 91 77 0 101 0 79 91

N.S.

1 1.03 2.53 2.14 0.00 2.81 0.00 2.19 2.53

time (sec)

N/A 0.267 0.058 0.280 0.000 0.255 0.000 0.264 0.089

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

70 82 66 0 59 88 0 0 0

N.S.

1 1.17 0.94 0.00 0.84 1.26 0.00 0.00 0.00

time (sec)

N/A 0.336 0.094 0.000 0.089 0.076 0.000 0.000 0.000

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

94 104 50 74 86 74 119 73 64

N.S.

1 1.11 0.53 0.79 0.91 0.79 1.27 0.78 0.68

time (sec)

N/A 0.386 0.067 0.883 0.190 0.256 0.306 0.260 2.206

Problem 252

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 66 39 58 64 62 75 57 46

N.S.

1 1.03 0.61 0.91 1.00 0.97 1.17 0.89 0.72

time (sec)

N/A 0.283 0.045 0.652 0.195 0.257 0.233 0.273 2.162

Problem 253

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

44 49 28 42 46 42 56 41 28

N.S.

1 1.11 0.64 0.95 1.05 0.95 1.27 0.93 0.64

time (sec)

N/A 0.241 0.041 0.499 0.204 0.256 0.201 0.258 0.066

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 37 14 13 22 19 29 13

N.S.

1 1.00 2.47 0.93 0.87 1.47 1.27 1.93 0.87

time (sec)

N/A 0.184 0.004 0.288 0.184 0.252 0.088 0.272 2.136

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 33 25 26 23 37 0 23 0

N.S.

1 1.22 0.93 0.96 0.85 1.37 0.00 0.85 0.00

time (sec)

N/A 0.362 0.014 0.882 0.245 0.250 0.000 0.259 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

39 49 42 55 27 65 0 52 0

N.S.

1 1.26 1.08 1.41 0.69 1.67 0.00 1.33 0.00

time (sec)

N/A 0.433 0.051 1.133 0.254 0.257 0.000 0.291 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 77 61 89 30 104 0 86 0

N.S.

1 1.28 1.02 1.48 0.50 1.73 0.00 1.43 0.00

time (sec)

N/A 0.534 0.101 1.205 0.250 0.246 0.000 0.261 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 97 77 121 31 115 0 120 0

N.S.

1 1.14 0.91 1.42 0.36 1.35 0.00 1.41 0.00

time (sec)

N/A 0.628 0.093 1.542 0.253 0.248 0.000 0.265 0.000

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

134 134 114 0 113 162 0 0 0

N.S.

1 1.00 0.85 0.00 0.84 1.21 0.00 0.00 0.00

time (sec)

N/A 0.400 0.180 0.000 0.119 0.082 0.000 0.000 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 152 86 141 160 135 146 140 108

N.S.

1 1.30 0.74 1.21 1.37 1.15 1.25 1.20 0.92

time (sec)

N/A 0.679 0.279 2.872 0.210 0.257 0.410 0.271 2.229

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

83 91 65 109 122 105 105 108 69

N.S.

1 1.10 0.78 1.31 1.47 1.27 1.27 1.30 0.83

time (sec)

N/A 0.446 0.152 2.421 0.213 0.271 0.308 0.274 2.205

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 51 46 56 84 74 61 76 41

N.S.

1 1.13 1.02 1.24 1.87 1.64 1.36 1.69 0.91

time (sec)

N/A 0.259 0.085 1.899 0.207 0.258 0.254 0.280 0.099

Problem 263

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

15 15 15 14 13 38 20 54 13

N.S.

1 1.00 1.00 0.93 0.87 2.53 1.33 3.60 0.87

time (sec)

N/A 0.188 0.003 0.757 0.189 0.244 0.100 0.278 2.147

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

47 47 39 47 42 67 0 42 0

N.S.

1 1.00 0.83 1.00 0.89 1.43 0.00 0.89 0.00

time (sec)

N/A 0.309 0.015 1.376 0.262 0.266 0.000 0.271 0.000

Problem 265

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

80 80 70 95 50 124 0 90 0

N.S.

1 1.00 0.88 1.19 0.62 1.55 0.00 1.12 0.00

time (sec)

N/A 0.365 0.125 1.773 0.272 0.254 0.000 0.268 0.000

Problem 266

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

119 119 105 159 58 196 0 156 0

N.S.

1 1.00 0.88 1.34 0.49 1.65 0.00 1.31 0.00

time (sec)

N/A 0.429 0.187 2.607 0.276 0.263 0.000 0.273 0.000

Problem 267

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

154 154 138 226 58 223 0 223 0

N.S.

1 1.00 0.90 1.47 0.38 1.45 0.00 1.45 0.00

time (sec)

N/A 0.487 0.217 3.464 0.273 0.250 0.000 0.271 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

139 139 110 0 117 172 0 0 0

N.S.

1 1.00 0.79 0.00 0.84 1.24 0.00 0.00 0.00

time (sec)

N/A 0.449 0.135 0.000 0.115 0.089 0.000 0.000 0.000

Problem 269

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

155 207 91 146 171 191 226 145 125

N.S.

1 1.34 0.59 0.94 1.10 1.23 1.46 0.94 0.81

time (sec)

N/A 0.771 0.420 7.582 0.200 0.264 0.688 0.291 2.348

Problem 270

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

101 111 70 114 127 154 150 113 89

N.S.

1 1.10 0.69 1.13 1.26 1.52 1.49 1.12 0.88

time (sec)

N/A 0.392 0.162 5.505 0.214 0.248 0.442 0.273 2.240

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 75 50 69 91 108 110 81 57

N.S.

1 1.15 0.77 1.06 1.40 1.66 1.69 1.25 0.88

time (sec)

N/A 0.328 0.091 3.924 0.206 0.261 0.302 0.268 0.120

Problem 272

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

15 15 15 14 13 54 20 57 13

N.S.

1 1.00 1.00 0.93 0.87 3.60 1.33 3.80 0.87

time (sec)

N/A 0.186 0.002 2.097 0.183 0.253 0.146 0.271 2.128

Problem 273

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

53 53 47 50 45 73 0 45 0

N.S.

1 1.00 0.89 0.94 0.85 1.38 0.00 0.85 0.00

time (sec)

N/A 0.315 0.040 2.880 0.286 0.251 0.000 0.260 0.000

Problem 274

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

89 89 80 105 53 139 0 100 0

N.S.

1 1.00 0.90 1.18 0.60 1.56 0.00 1.12 0.00

time (sec)

N/A 0.388 0.126 4.392 0.294 0.244 0.000 0.259 0.000

Problem 275

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

125 125 112 173 60 227 0 168 0

N.S.

1 1.00 0.90 1.38 0.48 1.82 0.00 1.34 0.00

time (sec)

N/A 0.457 0.371 6.585 0.327 0.246 0.000 0.263 0.000

Problem 276

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

169 169 150 241 59 261 0 236 0

N.S.

1 1.00 0.89 1.43 0.35 1.54 0.00 1.40 0.00

time (sec)

N/A 0.507 0.334 9.278 0.288 0.247 0.000 0.261 0.000

Problem 277

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

8 8 8 7 13 13 0 13 0

N.S.

1 1.00 1.00 0.88 1.62 1.62 0.00 1.62 0.00

time (sec)

N/A 0.221 0.004 0.361 0.233 0.245 0.000 0.262 0.000

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 26 16 15 15 24 0 30 0

N.S.

1 1.62 1.00 0.94 0.94 1.50 0.00 1.88 0.00

time (sec)

N/A 0.284 0.005 0.406 0.252 0.242 0.000 0.266 0.000

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 40 27 24 13 43 0 48 0

N.S.

1 1.48 1.00 0.89 0.48 1.59 0.00 1.78 0.00

time (sec)

N/A 0.355 0.006 0.451 0.241 0.254 0.000 0.251 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

134 134 114 0 113 162 0 0 0

N.S.

1 1.00 0.85 0.00 0.84 1.21 0.00 0.00 0.00

time (sec)

N/A 0.397 0.216 0.000 0.125 0.085 0.000 0.000 0.000

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 150 84 141 160 135 146 140 119

N.S.

1 1.28 0.72 1.21 1.37 1.15 1.25 1.20 1.02

time (sec)

N/A 0.683 0.275 3.878 0.251 0.270 0.411 0.253 0.167

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 102 66 109 122 104 105 108 82

N.S.

1 1.23 0.80 1.31 1.47 1.25 1.27 1.30 0.99

time (sec)

N/A 0.436 0.304 2.984 0.215 0.251 0.330 0.306 2.178

Problem 283

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

45 43 38 56 84 76 61 76 44

N.S.

1 0.96 0.84 1.24 1.87 1.69 1.36 1.69 0.98

time (sec)

N/A 0.258 0.094 2.505 0.216 0.281 0.217 0.254 2.153

Problem 284

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

15 15 15 14 13 32 20 54 13

N.S.

1 1.00 1.00 0.93 0.87 2.13 1.33 3.60 0.87

time (sec)

N/A 0.182 0.003 1.153 0.201 0.257 0.099 0.258 2.091

Problem 285

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

47 47 41 47 42 67 0 42 0

N.S.

1 1.00 0.87 1.00 0.89 1.43 0.00 0.89 0.00

time (sec)

N/A 0.288 0.015 1.663 0.287 0.266 0.000 0.265 0.000

Problem 286

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

80 80 68 96 50 126 0 91 0

N.S.

1 1.00 0.85 1.20 0.62 1.58 0.00 1.14 0.00

time (sec)

N/A 0.343 0.141 1.881 0.309 0.242 0.000 0.268 0.000

Problem 287

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

119 119 107 159 58 195 0 156 0

N.S.

1 1.00 0.90 1.34 0.49 1.64 0.00 1.31 0.00

time (sec)

N/A 0.407 0.153 2.733 0.272 0.251 0.000 0.262 0.000

Problem 288

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

154 154 138 229 58 224 0 222 0

N.S.

1 1.00 0.90 1.49 0.38 1.45 0.00 1.44 0.00

time (sec)

N/A 0.472 0.174 3.822 0.289 0.248 0.000 0.255 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

85 85 106 0 71 122 0 0 0

N.S.

1 1.00 1.25 0.00 0.84 1.44 0.00 0.00 0.00

time (sec)

N/A 0.324 0.121 0.000 0.091 0.088 0.000 0.000 0.000

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 79 58 79 91 140 250 78 70

N.S.

1 1.00 0.73 1.00 1.15 1.77 3.16 0.99 0.89

time (sec)

N/A 0.305 0.110 11.058 0.214 0.247 0.553 0.274 2.284

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 48 63 69 110 204 62 52

N.S.

1 1.00 0.80 1.05 1.15 1.83 3.40 1.03 0.87

time (sec)

N/A 0.282 0.099 7.806 0.250 0.263 0.440 0.249 2.207

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 41 47 51 88 131 46 36

N.S.

1 1.00 1.00 1.15 1.24 2.15 3.20 1.12 0.88

time (sec)

N/A 0.228 0.154 4.937 0.229 0.270 0.311 0.268 0.108

Problem 293

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

46 51 23 33 39 40 92 32 18

N.S.

1 1.11 0.50 0.72 0.85 0.87 2.00 0.70 0.39

time (sec)

N/A 0.260 0.011 3.158 0.211 0.255 0.157 0.256 0.071

Problem 294

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

33 33 32 30 27 41 0 27 0

N.S.

1 1.00 0.97 0.91 0.82 1.24 0.00 0.82 0.00

time (sec)

N/A 0.255 0.262 3.394 0.252 0.255 0.000 0.271 0.000

Problem 295

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

52 52 45 54 32 88 0 55 0

N.S.

1 1.00 0.87 1.04 0.62 1.69 0.00 1.06 0.00

time (sec)

N/A 0.280 0.058 4.190 0.265 0.250 0.000 0.266 0.000

Problem 296

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

67 67 65 92 36 140 0 89 0

N.S.

1 1.00 0.97 1.37 0.54 2.09 0.00 1.33 0.00

time (sec)

N/A 0.318 0.069 5.999 0.253 0.266 0.000 0.271 0.000

Problem 297

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

92 92 79 122 36 172 0 123 0

N.S.

1 1.00 0.86 1.33 0.39 1.87 0.00 1.34 0.00

time (sec)

N/A 0.360 0.130 8.790 0.271 0.263 0.000 0.269 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

209 209 175 0 171 248 0 0 0

N.S.

1 1.00 0.84 0.00 0.82 1.19 0.00 0.00 0.00

time (sec)

N/A 0.526 0.261 0.000 0.154 0.102 0.000 0.000 0.000

Problem 299

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

202 202 125 213 245 274 253 212 167

N.S.

1 1.00 0.62 1.05 1.21 1.36 1.25 1.05 0.83

time (sec)

N/A 0.481 0.780 24.677 0.238 0.253 0.753 0.263 0.548

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

148 148 105 165 187 209 182 164 123

N.S.

1 1.00 0.71 1.11 1.26 1.41 1.23 1.11 0.83

time (sec)

N/A 0.401 0.188 18.546 0.267 0.249 0.554 0.267 2.570