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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 A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 25 30 0 28 0 0 289

N.S.

1 1.00 1.39 1.67 0.00 1.56 0.00 0.00 16.06

time (sec)

N/A 0.202 1.088 1.328 0.000 0.296 0.000 0.000 0.117

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 30 37 4397 0 181 0 0 632

N.S.

1 1.00 1.23 146.57 0.00 6.03 0.00 0.00 21.07

time (sec)

N/A 0.226 1.894 1.807 0.000 0.321 0.000 0.000 19.706

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 37 1908 0 191 0 0 677

N.S.

1 1.00 0.97 50.21 0.00 5.03 0.00 0.00 17.82

time (sec)

N/A 0.240 1.975 1.841 0.000 0.310 0.000 0.000 18.721

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 35 4437 0 187 0 0 629

N.S.

1 1.00 0.97 123.25 0.00 5.19 0.00 0.00 17.47

time (sec)

N/A 0.227 1.919 1.686 0.000 0.315 0.000 0.000 0.120

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 39 1888 0 185 0 0 680

N.S.

1 1.00 1.22 59.00 0.00 5.78 0.00 0.00 21.25

time (sec)

N/A 0.231 1.918 1.770 0.000 0.296 0.000 0.000 19.053

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

355 355 186 261 0 189 175 0 0

N.S.

1 1.00 0.52 0.74 0.00 0.53 0.49 0.00 0.00

time (sec)

N/A 0.471 10.113 1.729 0.000 0.162 2.009 0.000 0.000

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

326 326 146 234 0 165 138 0 0

N.S.

1 1.00 0.45 0.72 0.00 0.51 0.42 0.00 0.00

time (sec)

N/A 0.413 8.157 1.500 0.000 0.162 1.806 0.000 0.000

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 158 109 119 0 94 88 0 0

N.S.

1 1.00 0.69 0.75 0.00 0.59 0.56 0.00 0.00

time (sec)

N/A 0.268 5.290 1.231 0.000 0.129 1.518 0.000 0.000

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F A C F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 105 89 85 0 41 37 0 37

N.S.

1 1.00 0.85 0.81 0.00 0.39 0.35 0.00 0.35

time (sec)

N/A 0.178 0.087 1.009 0.000 0.078 0.461 0.000 18.066

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

730 660 421 404 0 0 0 0 0

N.S.

1 0.90 0.58 0.55 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.151 9.226 2.336 0.000 0.000 0.000 0.000 0.000

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

1221 975 394 402 0 0 0 0 0

N.S.

1 0.80 0.32 0.33 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.770 11.459 1.023 0.000 0.000 0.000 0.000 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

295 295 157 218 0 152 141 0 0

N.S.

1 1.00 0.53 0.74 0.00 0.52 0.48 0.00 0.00

time (sec)

N/A 0.416 10.111 1.599 0.000 0.137 1.698 0.000 0.000

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

263 263 133 197 0 137 105 0 0

N.S.

1 1.00 0.51 0.75 0.00 0.52 0.40 0.00 0.00

time (sec)

N/A 0.372 10.085 1.058 0.000 0.139 1.420 0.000 0.000

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 79 96 0 72 61 0 0

N.S.

1 1.00 0.65 0.79 0.00 0.60 0.50 0.00 0.00

time (sec)

N/A 0.264 10.043 1.036 0.000 0.117 1.027 0.000 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F A C F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 74 70 0 29 36 0 37

N.S.

1 1.00 0.84 0.80 0.00 0.33 0.41 0.00 0.42

time (sec)

N/A 0.171 0.038 0.968 0.000 0.083 0.420 0.000 17.623

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

405 431 200 169 0 0 0 0 0

N.S.

1 1.06 0.49 0.42 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.723 0.213 1.036 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 C C F F(-1) F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

610 634 448 421 0 0 0 0 0

N.S.

1 1.04 0.73 0.69 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.371 0.811 1.008 0.000 0.000 0.000 0.000 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

659 677 614 483 0 0 0 0 0

N.S.

1 1.03 0.93 0.73 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.781 11.428 1.129 0.000 0.000 0.000 0.000 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

298 295 126 245 0 160 0 0 0

N.S.

1 0.99 0.42 0.82 0.00 0.54 0.00 0.00 0.00

time (sec)

N/A 0.412 10.075 1.282 0.000 0.106 0.000 0.000 0.000

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 268 108 233 0 143 0 0 0

N.S.

1 0.99 0.40 0.86 0.00 0.53 0.00 0.00 0.00

time (sec)

N/A 0.381 10.068 1.109 0.000 0.118 0.000 0.000 0.000

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F A C F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 114 59 115 0 76 61 0 57

N.S.

1 1.00 0.52 1.01 0.00 0.67 0.54 0.00 0.50

time (sec)

N/A 0.229 10.040 1.003 0.000 0.098 2.773 0.000 18.042

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F A C F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 55 94 0 64 36 0 37

N.S.

1 1.00 0.51 0.87 0.00 0.59 0.33 0.00 0.34

time (sec)

N/A 0.192 4.719 0.919 0.000 0.082 0.471 0.000 18.109

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

818 727 455 496 0 0 0 0 0

N.S.

1 0.89 0.56 0.61 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.533 10.646 0.972 0.000 0.000 0.000 0.000 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

349 349 274 0 0 0 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.883 0.427 0.000 0.000 0.000 0.000 0.000 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

349 349 274 0 0 0 0 0 0

N.S.

1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.856 0.283 0.000 0.000 0.000 0.000 0.000 0.000

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

1605 1590 455 1153 0 0 0 0 0

N.S.

1 0.99 0.28 0.72 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 8.073 11.255 1.363 0.000 0.000 0.000 0.000 0.000

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 87 132 200 119 233 0 355 234

N.S.

1 0.54 0.82 1.24 0.74 1.45 0.00 2.20 1.45

time (sec)

N/A 0.244 0.089 0.041 0.257 0.294 0.000 0.340 18.204

Problem 228

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

143 72 63 60 136 74 0 72 0

N.S.

1 0.50 0.44 0.42 0.95 0.52 0.00 0.50 0.00

time (sec)

N/A 0.233 0.835 0.169 0.238 0.296 0.000 0.342 0.000

Problem 229

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

143 69 63 60 47 74 0 72 0

N.S.

1 0.48 0.44 0.42 0.33 0.52 0.00 0.50 0.00

time (sec)

N/A 0.225 0.084 0.952 0.255 0.317 0.000 0.305 0.000

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

66 63 63 60 98 74 0 48 50

N.S.

1 0.95 0.95 0.91 1.48 1.12 0.00 0.73 0.76

time (sec)

N/A 0.222 0.729 0.127 0.232 0.304 0.000 0.470 17.832

Problem 231

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

143 69 63 60 47 74 0 72 0

N.S.

1 0.48 0.44 0.42 0.33 0.52 0.00 0.50 0.00

time (sec)

N/A 0.219 0.078 0.730 0.206 0.272 0.000 0.300 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 29 29 26 60 73 0 25 40

N.S.

1 0.91 0.91 0.81 1.88 2.28 0.00 0.78 1.25

time (sec)

N/A 0.161 0.009 0.136 0.229 0.264 0.000 0.339 18.466

Problem 233

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

135 65 61 58 43 72 0 46 0

N.S.

1 0.48 0.45 0.43 0.32 0.53 0.00 0.34 0.00

time (sec)

N/A 0.201 0.076 0.483 0.233 0.327 0.000 0.292 0.000

Problem 234

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

139 68 234 59 171 73 0 73 0

N.S.

1 0.49 1.68 0.42 1.23 0.53 0.00 0.53 0.00

time (sec)

N/A 0.216 0.525 0.126 0.191 0.382 0.000 0.305 0.000

Problem 235

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

134 60 62 60 48 72 0 69 0

N.S.

1 0.45 0.46 0.45 0.36 0.54 0.00 0.51 0.00

time (sec)

N/A 0.209 0.101 0.657 0.192 0.246 0.000 0.309 0.000

Problem 236

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

140 67 237 61 176 76 0 91 0

N.S.

1 0.48 1.69 0.44 1.26 0.54 0.00 0.65 0.00

time (sec)

N/A 0.219 0.697 0.138 0.209 0.284 0.000 0.327 0.000

Problem 237

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

253 215 142 155 0 433 0 177 0

N.S.

1 0.85 0.56 0.61 0.00 1.71 0.00 0.70 0.00

time (sec)

N/A 0.312 0.104 2.045 0.000 0.310 0.000 0.463 0.000

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 29 29 26 70 87 0 28 62

N.S.

1 0.91 0.91 0.81 2.19 2.72 0.00 0.88 1.94

time (sec)

N/A 0.167 0.012 1.564 0.216 0.278 0.000 0.309 18.395

Problem 239

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

207 177 123 138 0 402 0 153 0

N.S.

1 0.86 0.59 0.67 0.00 1.94 0.00 0.74 0.00

time (sec)

N/A 0.242 0.066 1.544 0.000 0.297 0.000 0.326 0.000

Problem 240

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

192 143 111 221 0 391 0 185 0

N.S.

1 0.74 0.58 1.15 0.00 2.04 0.00 0.96 0.00

time (sec)

N/A 0.255 0.073 1.498 0.000 0.275 0.000 0.494 0.000

Problem 241

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

208 179 121 141 0 396 0 185 0

N.S.

1 0.86 0.58 0.68 0.00 1.90 0.00 0.89 0.00

time (sec)

N/A 0.268 0.047 2.262 0.000 0.304 0.000 0.326 0.000

Problem 242

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

202 153 118 223 0 411 0 204 0

N.S.

1 0.76 0.58 1.10 0.00 2.03 0.00 1.01 0.00

time (sec)

N/A 0.258 0.055 2.306 0.000 0.283 0.000 0.313 0.000

Problem 243

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

77 80 73 60 0 141 0 71 0

N.S.

1 1.04 0.95 0.78 0.00 1.83 0.00 0.92 0.00

time (sec)

N/A 0.197 0.026 0.070 0.000 0.287 0.000 0.336 0.000

Problem 244

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

21 21 21 20 19 19 42 28 19

N.S.

1 1.00 1.00 0.95 0.90 0.90 2.00 1.33 0.90

time (sec)

N/A 0.157 0.004 0.086 0.193 0.256 0.255 0.334 19.465

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 21 21 20 0 19 46 28 19

N.S.

1 1.00 1.00 0.95 0.00 0.90 2.19 1.33 0.90

time (sec)

N/A 0.148 0.005 0.048 0.000 0.248 0.297 0.333 18.460

Problem 246

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

71 71 59 64 80 138 0 59 0

N.S.

1 1.00 0.83 0.90 1.13 1.94 0.00 0.83 0.00

time (sec)

N/A 0.209 0.015 0.064 0.266 0.268 0.000 0.320 0.000

Problem 247

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

48 75 32 37 46 32 0 81 54

N.S.

1 1.56 0.67 0.77 0.96 0.67 0.00 1.69 1.12

time (sec)

N/A 0.194 0.010 0.069 0.197 0.253 0.000 0.343 19.487

Problem 248

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

104 99 78 81 121 175 0 103 0

N.S.

1 0.95 0.75 0.78 1.16 1.68 0.00 0.99 0.00

time (sec)

N/A 0.227 0.024 0.091 0.269 0.268 0.000 0.445 0.000

Problem 249

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

138 132 63 58 85 75 144 137 109

N.S.

1 0.96 0.46 0.42 0.62 0.54 1.04 0.99 0.79

time (sec)

N/A 0.266 0.056 0.046 0.193 0.296 11.192 0.311 18.884

Problem 250

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

102 108 52 47 64 63 116 109 88

N.S.

1 1.06 0.51 0.46 0.63 0.62 1.14 1.07 0.86

time (sec)

N/A 0.244 0.038 0.030 0.199 0.285 5.864 0.299 18.945

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

66 84 41 36 43 51 87 81 67

N.S.

1 1.27 0.62 0.55 0.65 0.77 1.32 1.23 1.02

time (sec)

N/A 0.222 0.036 0.032 0.194 0.267 3.011 0.325 18.251

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

36 31 31 26 25 37 58 17 28

N.S.

1 0.86 0.86 0.72 0.69 1.03 1.61 0.47 0.78

time (sec)

N/A 0.154 0.006 0.061 0.189 0.299 1.427 0.313 18.868

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

117 95 96 0 118 0 0 190 0

N.S.

1 0.81 0.82 0.00 1.01 0.00 0.00 1.62 0.00

time (sec)

N/A 0.228 0.084 0.000 0.269 0.000 0.000 0.305 0.000

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

133 100 107 0 138 0 0 212 0

N.S.

1 0.75 0.80 0.00 1.04 0.00 0.00 1.59 0.00

time (sec)

N/A 0.227 0.129 0.000 0.279 0.000 0.000 0.333 0.000

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

152 139 68 0 0 0 0 0 0

N.S.

1 0.91 0.45 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.235 0.052 0.000 0.000 0.000 0.000 0.000 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

119 105 52 0 0 0 0 0 0

N.S.

1 0.88 0.44 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.192 0.009 0.000 0.000 0.000 0.000 0.000 0.000

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

115 109 55 0 0 0 0 0 0

N.S.

1 0.95 0.48 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.210 0.011 0.000 0.000 0.000 0.000 0.000 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

154 139 57 0 0 0 0 0 0

N.S.

1 0.90 0.37 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.231 10.016 0.000 0.000 0.000 0.000 0.000 0.000

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 75 68 0 80 114 61 0

N.S.

1 1.00 1.06 0.96 0.00 1.13 1.61 0.86 0.00

time (sec)

N/A 0.199 0.071 0.992 0.000 0.314 0.900 0.413 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 53 59 114 0 44 0 0 0

N.S.

1 1.10 1.23 2.38 0.00 0.92 0.00 0.00 0.00

time (sec)

N/A 0.213 0.046 1.531 0.000 0.115 0.000 0.000 0.000

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 55 28 0 43 71 61 0

N.S.

1 1.00 1.72 0.88 0.00 1.34 2.22 1.91 0.00

time (sec)

N/A 0.164 0.012 1.032 0.000 0.336 0.872 0.351 0.000

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 18 43 0 9 0 0 0

N.S.

1 1.00 1.50 3.58 0.00 0.75 0.00 0.00 0.00

time (sec)

N/A 0.150 0.013 0.498 0.000 0.113 0.000 0.000 0.000

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

244 268 198 241 0 541 0 226 0

N.S.

1 1.10 0.81 0.99 0.00 2.22 0.00 0.93 0.00

time (sec)

N/A 0.438 0.437 0.226 0.000 0.373 0.000 0.382 0.000

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

161 185 161 189 0 407 0 169 0

N.S.

1 1.15 1.00 1.17 0.00 2.53 0.00 1.05 0.00

time (sec)

N/A 0.336 0.087 0.123 0.000 0.343 0.000 0.385 0.000

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

103 110 132 154 0 313 0 138 0

N.S.

1 1.07 1.28 1.50 0.00 3.04 0.00 1.34 0.00

time (sec)

N/A 0.240 0.049 0.104 0.000 0.342 0.000 0.395 0.000

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 142 147 179 0 865 0 0 0

N.S.

1 1.27 1.31 1.60 0.00 7.72 0.00 0.00 0.00

time (sec)

N/A 0.309 0.041 0.102 0.000 0.479 0.000 0.000 0.000

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

127 110 137 162 0 333 0 242 0

N.S.

1 0.87 1.08 1.28 0.00 2.62 0.00 1.91 0.00

time (sec)

N/A 0.267 0.057 0.150 0.000 0.482 0.000 0.393 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

208 184 174 201 0 427 0 549 0

N.S.

1 0.88 0.84 0.97 0.00 2.05 0.00 2.64 0.00

time (sec)

N/A 0.365 0.087 0.159 0.000 0.883 0.000 0.449 0.000

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

318 267 222 257 0 561 0 1001 0

N.S.

1 0.84 0.70 0.81 0.00 1.76 0.00 3.15 0.00

time (sec)

N/A 0.449 1.486 0.192 0.000 2.168 0.000 0.412 0.000

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

357 372 255 490 0 273 0 0 0

N.S.

1 1.04 0.71 1.37 0.00 0.76 0.00 0.00 0.00

time (sec)

N/A 0.539 1.321 5.207 0.000 0.122 0.000 0.000 0.000

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 294 208 350 0 182 0 0 0

N.S.

1 1.11 0.78 1.32 0.00 0.68 0.00 0.00 0.00

time (sec)

N/A 0.418 1.223 4.720 0.000 0.106 0.000 0.000 0.000

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

194 248 86 184 0 150 0 0 0

N.S.

1 1.28 0.44 0.95 0.00 0.77 0.00 0.00 0.00

time (sec)

N/A 0.332 1.065 1.151 0.000 0.107 0.000 0.000 0.000

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

239 287 111 192 0 132 0 0 0

N.S.

1 1.20 0.46 0.80 0.00 0.55 0.00 0.00 0.00

time (sec)

N/A 0.396 1.179 4.665 0.000 0.108 0.000 0.000 0.000

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

321 348 238 378 0 199 0 0 0

N.S.

1 1.08 0.74 1.18 0.00 0.62 0.00 0.00 0.00

time (sec)

N/A 0.500 1.442 5.432 0.000 0.113 0.000 0.000 0.000

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

424 432 302 539 0 289 0 0 0

N.S.

1 1.02 0.71 1.27 0.00 0.68 0.00 0.00 0.00

time (sec)

N/A 0.646 2.786 6.593 0.000 0.114 0.000 0.000 0.000

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

282 302 222 313 0 553 0 0 0

N.S.

1 1.07 0.79 1.11 0.00 1.96 0.00 0.00 0.00

time (sec)

N/A 0.553 4.541 0.224 0.000 1.287 0.000 0.000 0.000

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

199 215 177 252 0 417 0 0 0

N.S.

1 1.08 0.89 1.27 0.00 2.10 0.00 0.00 0.00

time (sec)

N/A 0.408 2.846 0.184 0.000 0.681 0.000 0.000 0.000

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

141 123 136 231 0 328 0 0 0

N.S.

1 0.87 0.96 1.64 0.00 2.33 0.00 0.00 0.00

time (sec)

N/A 0.255 1.894 0.161 0.000 0.462 0.000 0.000 0.000

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

151 183 187 401 0 1049 0 0 0

N.S.

1 1.21 1.24 2.66 0.00 6.95 0.00 0.00 0.00

time (sec)

N/A 0.366 2.299 0.139 0.000 0.898 0.000 0.000 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

165 123 146 239 0 350 0 0 0

N.S.

1 0.75 0.88 1.45 0.00 2.12 0.00 0.00 0.00

time (sec)

N/A 0.289 3.804 0.209 0.000 0.908 0.000 0.000 0.000

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

256 214 186 270 0 435 0 0 0

N.S.

1 0.84 0.73 1.05 0.00 1.70 0.00 0.00 0.00

time (sec)

N/A 0.414 4.303 0.240 0.000 2.537 0.000 0.000 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

366 301 245 333 0 573 0 0 0

N.S.

1 0.82 0.67 0.91 0.00 1.57 0.00 0.00 0.00

time (sec)

N/A 0.537 4.762 0.268 0.000 9.703 0.000 0.000 0.000

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

391 403 266 775 0 275 0 0 0

N.S.

1 1.03 0.68 1.98 0.00 0.70 0.00 0.00 0.00

time (sec)

N/A 0.631 5.606 9.881 0.000 0.122 0.000 0.000 0.000

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

310 339 235 734 0 229 0 0 0

N.S.

1 1.09 0.76 2.37 0.00 0.74 0.00 0.00 0.00

time (sec)

N/A 0.477 4.955 8.941 0.000 0.124 0.000 0.000 0.000

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

262 305 206 527 0 173 0 0 0

N.S.

1 1.16 0.79 2.01 0.00 0.66 0.00 0.00 0.00

time (sec)

N/A 0.398 1.210 3.336 0.000 0.108 0.000 0.000 0.000

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 360 228 670 0 170 0 0 0

N.S.

1 1.17 0.74 2.18 0.00 0.55 0.00 0.00 0.00

time (sec)

N/A 0.518 5.247 8.050 0.000 0.116 0.000 0.000 0.000

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

383 415 253 790 0 214 0 0 0

N.S.

1 1.08 0.66 2.06 0.00 0.56 0.00 0.00 0.00

time (sec)

N/A 0.634 5.625 8.284 0.000 0.117 0.000 0.000 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

480 489 322 908 0 293 0 0 0

N.S.

1 1.02 0.67 1.89 0.00 0.61 0.00 0.00 0.00

time (sec)

N/A 0.756 6.229 10.053 0.000 0.122 0.000 0.000 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 No Yes Yes TBD TBD TBD TBD TBD

size

51 57 95 52 0 55 0 18 55

N.S.

1 1.12 1.86 1.02 0.00 1.08 0.00 0.35 1.08

time (sec)

N/A 0.189 0.127 0.410 0.000 0.306 0.000 0.311 17.176

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

72 76 119 78 76 77 0 30 88

N.S.

1 1.06 1.65 1.08 1.06 1.07 0.00 0.42 1.22

time (sec)

N/A 0.198 0.205 0.442 0.269 0.325 0.000 0.318 0.222

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

53 59 95 68 0 55 0 22 56

N.S.

1 1.11 1.79 1.28 0.00 1.04 0.00 0.42 1.06

time (sec)

N/A 0.192 0.206 0.830 0.000 0.361 0.000 0.366 16.809

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

113 108 95 80 0 65 0 57 101

N.S.

1 0.96 0.84 0.71 0.00 0.58 0.00 0.50 0.89

time (sec)

N/A 0.240 0.469 0.869 0.000 0.341 0.000 0.318 16.905

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

106 117 106 114 121 82 0 47 134

N.S.

1 1.10 1.00 1.08 1.14 0.77 0.00 0.44 1.26

time (sec)

N/A 0.233 0.649 0.777 0.270 0.342 0.000 0.322 0.232

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

52 52 49 42 0 32 0 40 0

N.S.

1 1.00 0.94 0.81 0.00 0.62 0.00 0.77 0.00

time (sec)

N/A 0.192 0.031 0.873 0.000 0.303 0.000 0.376 0.000

Problem 295

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

68 68 65 60 0 42 0 61 0

N.S.

1 1.00 0.96 0.88 0.00 0.62 0.00 0.90 0.00

time (sec)

N/A 0.224 0.043 0.898 0.000 0.342 0.000 0.353 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

281 274 224 243 0 545 0 235 0

N.S.

1 0.98 0.80 0.86 0.00 1.94 0.00 0.84 0.00

time (sec)

N/A 0.424 1.458 0.161 0.000 0.393 0.000 0.362 0.000

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

169 184 161 191 0 413 0 172 0

N.S.

1 1.09 0.95 1.13 0.00 2.44 0.00 1.02 0.00

time (sec)

N/A 0.309 0.886 0.127 0.000 0.352 0.000 0.366 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

106 113 136 154 0 313 0 142 0

N.S.

1 1.07 1.28 1.45 0.00 2.95 0.00 1.34 0.00

time (sec)

N/A 0.240 0.377 0.110 0.000 0.322 0.000 0.402 0.000

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 142 147 179 0 881 0 0 0

N.S.

1 1.27 1.31 1.60 0.00 7.87 0.00 0.00 0.00

time (sec)

N/A 0.313 0.429 0.092 0.000 0.524 0.000 0.000 0.000

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

130 113 143 162 0 333 0 238 0

N.S.

1 0.87 1.10 1.25 0.00 2.56 0.00 1.83 0.00

time (sec)

N/A 0.267 0.606 0.145 0.000 0.540 0.000 0.347 0.000

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