2.2.3 Integrals 201 to 300

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

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

Problem 201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

83 83 81 160 50 134 0 46 403

N.S.

1 1.00 0.98 1.93 0.60 1.61 0.00 0.55 4.86

time (sec)

N/A 0.037 0.055 0.423 0.478 0.398 0.000 0.396 1.771

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

73 73 70 61 37 115 0 36 344

N.S.

1 1.00 0.96 0.84 0.51 1.58 0.00 0.49 4.71

time (sec)

N/A 0.025 0.041 0.388 0.471 0.385 0.000 0.379 1.769

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

97 97 80 82 35 116 0 35 516

N.S.

1 1.00 0.82 0.85 0.36 1.20 0.00 0.36 5.32

time (sec)

N/A 0.038 0.043 0.420 0.467 0.365 0.000 0.395 2.182

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

120 120 104 105 51 147 0 49 705

N.S.

1 1.00 0.87 0.88 0.42 1.22 0.00 0.41 5.88

time (sec)

N/A 0.054 0.080 0.459 0.480 0.356 0.000 0.391 1.830

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

145 145 120 128 64 184 0 58 871

N.S.

1 1.00 0.83 0.88 0.44 1.27 0.00 0.40 6.01

time (sec)

N/A 0.076 0.152 0.589 0.475 0.391 0.000 0.398 2.163

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

172 172 139 151 75 210 0 70 1051

N.S.

1 1.00 0.81 0.88 0.44 1.22 0.00 0.41 6.11

time (sec)

N/A 0.097 0.174 0.945 0.477 0.347 0.000 0.398 2.138

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

135 135 147 418 86 227 0 77 571

N.S.

1 1.00 1.09 3.10 0.64 1.68 0.00 0.57 4.23

time (sec)

N/A 0.068 0.070 0.545 0.488 0.348 0.000 0.398 1.977

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 104 249 73 200 0 59 511

N.S.

1 1.00 0.95 2.26 0.66 1.82 0.00 0.54 4.65

time (sec)

N/A 0.050 0.066 0.437 0.491 0.361 0.000 0.401 1.691

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

98 98 96 85 61 185 0 47 667

N.S.

1 1.00 0.98 0.87 0.62 1.89 0.00 0.48 6.81

time (sec)

N/A 0.039 0.052 0.422 0.489 0.351 0.000 0.388 1.867

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

125 125 107 98 64 186 0 52 580

N.S.

1 1.00 0.86 0.78 0.51 1.49 0.00 0.42 4.64

time (sec)

N/A 0.052 0.163 0.460 0.473 0.353 0.000 0.390 1.842

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

152 152 118 112 60 186 0 47 741

N.S.

1 1.00 0.78 0.74 0.39 1.22 0.00 0.31 4.88

time (sec)

N/A 0.072 0.117 0.465 0.484 0.353 0.000 0.397 1.898

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

176 176 141 181 73 214 0 59 1077

N.S.

1 1.00 0.80 1.03 0.41 1.22 0.00 0.34 6.12

time (sec)

N/A 0.093 0.206 0.617 0.481 0.350 0.000 0.395 2.168

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

201 201 156 207 86 250 0 71 1362

N.S.

1 1.00 0.78 1.03 0.43 1.24 0.00 0.35 6.78

time (sec)

N/A 0.115 0.184 1.000 0.481 0.345 0.000 0.391 2.495

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

228 228 174 229 97 276 0 80 2151

N.S.

1 1.00 0.76 1.00 0.43 1.21 0.00 0.35 9.43

time (sec)

N/A 0.138 0.236 1.819 0.485 0.345 0.000 0.395 1.947

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

142 142 104 304 0 141 0 60 -1

N.S.

1 1.00 0.73 2.14 0.00 0.99 0.00 0.42 -0.01

time (sec)

N/A 0.054 0.059 0.127 0.000 0.360 0.000 0.391 0.000

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

104 104 84 174 0 114 0 48 -1

N.S.

1 1.00 0.81 1.67 0.00 1.10 0.00 0.46 -0.01

time (sec)

N/A 0.035 0.045 0.121 0.000 0.369 0.000 0.386 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

61 61 62 75 0 93 0 36 -1

N.S.

1 1.00 1.02 1.23 0.00 1.52 0.00 0.59 -0.02

time (sec)

N/A 0.020 0.026 0.122 0.000 0.351 0.000 0.362 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

49 49 52 149 40 89 0 57 -1

N.S.

1 1.00 1.06 3.04 0.82 1.82 0.00 1.16 -0.02

time (sec)

N/A 0.020 0.029 0.126 0.506 0.354 0.000 0.401 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 34 29 15 15 0 59 210

N.S.

1 1.00 0.97 0.83 0.43 0.43 0.00 1.69 6.00

time (sec)

N/A 0.010 0.024 0.121 0.488 0.359 0.000 0.412 1.714

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 48 59 34 34 0 112 174

N.S.

1 1.00 0.67 0.82 0.47 0.47 0.00 1.56 2.42

time (sec)

N/A 0.023 0.029 0.120 0.473 0.350 0.000 0.387 1.413

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 66 105 45 45 0 138 234

N.S.

1 1.00 0.60 0.95 0.41 0.41 0.00 1.25 2.13

time (sec)

N/A 0.037 0.043 0.127 0.473 0.342 0.000 0.403 1.594

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

148 148 82 151 56 56 0 166 294

N.S.

1 1.00 0.55 1.02 0.38 0.38 0.00 1.12 1.99

time (sec)

N/A 0.055 0.047 0.134 0.478 0.346 0.000 0.400 1.519

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

177 177 122 471 0 163 0 147 -1

N.S.

1 1.00 0.69 2.66 0.00 0.92 0.00 0.83 -0.01

time (sec)

N/A 0.072 0.067 0.122 0.000 0.360 0.000 0.405 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

139 139 105 304 0 140 0 122 -1

N.S.

1 1.00 0.76 2.19 0.00 1.01 0.00 0.88 -0.01

time (sec)

N/A 0.052 0.047 0.121 0.000 0.356 0.000 0.406 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 83 165 0 119 0 0 -1

N.S.

1 1.00 0.82 1.63 0.00 1.18 0.00 0.00 -0.01

time (sec)

N/A 0.035 0.049 0.121 0.000 0.356 0.000 0.000 0.000

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

81 81 77 280 0 109 0 0 -1

N.S.

1 1.00 0.95 3.46 0.00 1.35 0.00 0.00 -0.01

time (sec)

N/A 0.037 0.036 0.121 0.000 0.352 0.000 0.000 0.000

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

70 70 74 315 0 109 0 0 -1

N.S.

1 1.00 1.06 4.50 0.00 1.56 0.00 0.00 -0.01

time (sec)

N/A 0.030 0.052 0.120 0.000 0.337 0.000 0.000 0.000

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 34 29 15 31 0 33 332

N.S.

1 1.00 0.97 0.83 0.43 0.89 0.00 0.94 9.49

time (sec)

N/A 0.010 0.066 0.128 0.478 0.352 0.000 0.392 1.510

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 48 59 34 45 0 59 228

N.S.

1 1.00 0.67 0.82 0.47 0.62 0.00 0.82 3.17

time (sec)

N/A 0.022 0.032 0.130 0.485 0.363 0.000 0.413 1.541

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 66 105 45 56 0 78 288

N.S.

1 1.00 0.60 0.95 0.41 0.51 0.00 0.71 2.62

time (sec)

N/A 0.039 0.040 0.141 0.475 0.338 0.000 0.408 1.635

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

148 148 82 151 56 67 0 97 348

N.S.

1 1.00 0.55 1.02 0.38 0.45 0.00 0.66 2.35

time (sec)

N/A 0.054 0.051 0.168 0.470 0.344 0.000 0.397 1.741

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

174 174 121 471 0 162 0 204 -1

N.S.

1 1.00 0.70 2.71 0.00 0.93 0.00 1.17 -0.01

time (sec)

N/A 0.068 0.056 0.122 0.000 0.346 0.000 0.404 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

136 136 101 286 0 141 0 0 -1

N.S.

1 1.00 0.74 2.10 0.00 1.04 0.00 0.00 -0.01

time (sec)

N/A 0.049 0.038 0.122 0.000 0.366 0.000 0.000 0.000

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

121 121 101 460 0 137 0 0 -1

N.S.

1 1.00 0.83 3.80 0.00 1.13 0.00 0.00 -0.01

time (sec)

N/A 0.053 0.050 0.124 0.000 0.359 0.000 0.000 0.000

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

106 106 97 501 0 138 0 0 -1

N.S.

1 1.00 0.92 4.73 0.00 1.30 0.00 0.00 -0.01

time (sec)

N/A 0.046 0.048 0.122 0.000 0.330 0.000 0.000 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) F(-2) F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

93 93 95 532 0 137 0 0 -1

N.S.

1 1.00 1.02 5.72 0.00 1.47 0.00 0.00 -0.01

time (sec)

N/A 0.041 0.038 0.122 0.000 0.354 0.000 0.000 0.000

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 34 29 15 42 0 33 396

N.S.

1 1.00 0.97 0.83 0.43 1.20 0.00 0.94 11.31

time (sec)

N/A 0.010 0.034 0.126 0.478 0.331 0.000 0.407 1.654

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 48 59 34 56 0 59 293

N.S.

1 1.00 0.67 0.82 0.47 0.78 0.00 0.82 4.07

time (sec)

N/A 0.024 0.035 0.140 0.471 0.348 0.000 0.437 1.625

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 66 105 45 67 0 78 353

N.S.

1 1.00 0.60 0.95 0.41 0.61 0.00 0.71 3.21

time (sec)

N/A 0.038 0.037 0.176 0.476 0.335 0.000 0.419 1.657

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

148 148 82 151 56 78 0 97 413

N.S.

1 1.00 0.55 1.02 0.38 0.53 0.00 0.66 2.79

time (sec)

N/A 0.053 0.054 0.269 0.467 0.335 0.000 0.412 1.744

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

145 145 105 304 0 140 0 64 -1

N.S.

1 1.00 0.72 2.10 0.00 0.97 0.00 0.44 -0.01

time (sec)

N/A 0.056 0.064 0.127 0.000 0.366 0.000 0.381 0.000

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

107 107 88 174 0 119 0 52 -1

N.S.

1 1.00 0.82 1.63 0.00 1.11 0.00 0.49 -0.01

time (sec)

N/A 0.037 0.050 0.125 0.000 0.372 0.000 0.387 0.000

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

63 63 66 80 0 91 0 38 -1

N.S.

1 1.00 1.05 1.27 0.00 1.44 0.00 0.60 -0.02

time (sec)

N/A 0.020 0.040 0.125 0.000 0.340 0.000 0.391 0.000

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 33 24 0 57 0 23 -1

N.S.

1 1.00 1.10 0.80 0.00 1.90 0.00 0.77 -0.03

time (sec)

N/A 0.009 0.024 0.125 0.000 0.363 0.000 0.411 0.000

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 33 32 29 15 15 0 30 101

N.S.

1 1.00 0.97 0.88 0.45 0.45 0.00 0.91 3.06

time (sec)

N/A 0.010 0.030 0.127 0.474 0.341 0.000 0.391 1.620

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 46 59 33 23 0 55 218

N.S.

1 1.00 0.64 0.82 0.46 0.32 0.00 0.76 3.03

time (sec)

N/A 0.022 0.042 0.126 0.464 0.339 0.000 0.387 1.573

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 66 105 45 34 0 77 227

N.S.

1 1.00 0.60 0.95 0.41 0.31 0.00 0.70 2.06

time (sec)

N/A 0.038 0.067 0.133 0.475 0.328 0.000 0.383 1.527

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

148 148 82 151 55 45 0 103 287

N.S.

1 1.00 0.55 1.02 0.37 0.30 0.00 0.70 1.94

time (sec)

N/A 0.053 0.072 0.129 0.472 0.344 0.000 0.378 1.636

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-1) A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

166 166 122 428 0 196 0 75 -1

N.S.

1 1.00 0.73 2.58 0.00 1.18 0.00 0.45 -0.01

time (sec)

N/A 0.077 0.161 0.128 0.000 0.331 0.000 0.399 0.000

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

128 128 104 261 0 175 0 63 -1

N.S.

1 1.00 0.81 2.04 0.00 1.37 0.00 0.49 -0.01

time (sec)

N/A 0.051 0.066 0.126 0.000 0.360 0.000 0.395 0.000

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

86 86 81 130 0 145 0 48 -1

N.S.

1 1.00 0.94 1.51 0.00 1.69 0.00 0.56 -0.01

time (sec)

N/A 0.037 0.098 0.120 0.000 0.344 0.000 0.391 0.000

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

52 52 55 42 0 119 0 39 -1

N.S.

1 1.00 1.06 0.81 0.00 2.29 0.00 0.75 -0.02

time (sec)

N/A 0.018 0.091 0.120 0.000 0.355 0.000 0.400 0.000

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 33 32 29 0 22 0 15 163

N.S.

1 1.00 0.97 0.88 0.00 0.67 0.00 0.45 4.94

time (sec)

N/A 0.009 0.027 0.122 0.000 0.339 0.000 0.389 1.736

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

68 68 43 59 32 34 0 50 281

N.S.

1 1.00 0.63 0.87 0.47 0.50 0.00 0.74 4.13

time (sec)

N/A 0.023 0.034 0.122 0.474 0.319 0.000 0.389 1.490

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 64 105 45 49 0 107 286

N.S.

1 1.00 0.58 0.95 0.41 0.45 0.00 0.97 2.60

time (sec)

N/A 0.039 0.043 0.123 0.493 0.326 0.000 0.398 1.694

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

148 148 80 151 54 58 0 161 346

N.S.

1 1.00 0.54 1.02 0.36 0.39 0.00 1.09 2.34

time (sec)

N/A 0.055 0.047 0.121 0.473 0.338 0.000 0.410 1.774

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-1) A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

153 153 121 348 0 241 0 75 -1

N.S.

1 1.00 0.79 2.27 0.00 1.58 0.00 0.49 -0.01

time (sec)

N/A 0.067 0.081 0.132 0.000 0.376 0.000 0.401 0.000

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F(-2) A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

111 111 101 180 0 214 0 61 -1

N.S.

1 1.00 0.91 1.62 0.00 1.93 0.00 0.55 -0.01

time (sec)

N/A 0.048 0.060 0.127 0.000 0.361 0.000 0.393 0.000

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

75 75 78 59 0 186 0 49 -1

N.S.

1 1.00 1.04 0.79 0.00 2.48 0.00 0.65 -0.01

time (sec)

N/A 0.031 0.044 0.128 0.000 0.392 0.000 0.402 0.000

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B F A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 34 92 0 33 0 15 229

N.S.

1 1.00 0.97 2.63 0.00 0.94 0.00 0.43 6.54

time (sec)

N/A 0.011 0.036 0.121 0.000 0.336 0.000 0.398 1.704

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

71 71 47 58 0 43 0 25 346

N.S.

1 1.00 0.66 0.82 0.00 0.61 0.00 0.35 4.87

time (sec)

N/A 0.022 0.029 0.122 0.000 0.340 0.000 0.386 1.659

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

106 106 66 104 45 58 0 62 348

N.S.

1 1.00 0.62 0.98 0.42 0.55 0.00 0.58 3.28

time (sec)

N/A 0.039 0.041 0.125 0.470 0.326 0.000 0.394 1.687

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-2) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

146 146 79 150 56 71 0 119 406

N.S.

1 1.00 0.54 1.03 0.38 0.49 0.00 0.82 2.78

time (sec)

N/A 0.059 0.049 0.131 0.476 0.335 0.000 0.411 1.765

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

186 186 100 196 67 82 0 173 466

N.S.

1 1.00 0.54 1.05 0.36 0.44 0.00 0.93 2.51

time (sec)

N/A 0.075 0.049 0.127 0.466 0.448 0.000 0.426 1.861

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

79 79 71 0 0 0 0 0 -1

N.S.

1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.032 0.111 0.049 0.000 0.000 0.000 0.000 0.000

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

165 165 146 654 139 374 0 332 546

N.S.

1 1.00 0.88 3.96 0.84 2.27 0.00 2.01 3.31

time (sec)

N/A 0.098 0.076 7.020 0.538 0.358 0.000 0.394 1.671

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

121 121 106 492 101 255 0 226 418

N.S.

1 1.00 0.88 4.07 0.83 2.11 0.00 1.87 3.45

time (sec)

N/A 0.053 0.057 2.541 0.528 0.365 0.000 0.390 1.422

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

82 82 71 315 68 168 0 140 304

N.S.

1 1.00 0.87 3.84 0.83 2.05 0.00 1.71 3.71

time (sec)

N/A 0.031 0.048 0.970 0.528 0.354 0.000 0.392 1.291

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 48 41 175 42 91 0 76 205

N.S.

1 1.00 0.85 3.65 0.88 1.90 0.00 1.58 4.27

time (sec)

N/A 0.014 0.040 0.399 0.535 0.363 0.000 0.395 1.231

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 20 21 21 39 51 28 121

N.S.

1 1.00 1.00 1.05 1.05 1.95 2.55 1.40 6.05

time (sec)

N/A 0.005 0.013 0.374 0.508 0.387 0.203 0.400 1.182

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

64 64 60 0 0 0 0 0 -1

N.S.

1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.014 0.063 0.015 0.000 0.000 0.000 0.000 0.000

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

71 71 67 0 0 0 0 0 -1

N.S.

1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.030 0.057 0.023 0.000 0.000 0.000 0.000 0.000

Problem 273

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 67 0 0 0 0 0 -1

N.S.

1 1.00 0.66 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.047 0.037 0.023 0.000 0.000 0.000 0.000 0.000

Problem 274

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

37 37 34 676 38 33 0 90 96

N.S.

1 1.00 0.92 18.27 1.03 0.89 0.00 2.43 2.59

time (sec)

N/A 0.015 0.038 0.124 0.264 0.352 0.000 0.387 1.596

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 23 20 20 19 13 76 71 19

N.S.

1 1.00 0.87 0.87 0.83 0.57 3.30 3.09 0.83

time (sec)

N/A 0.015 0.017 0.122 0.291 0.405 7.947 0.391 1.105

Problem 276

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 23 20 20 19 13 160 71 19

N.S.

1 1.00 0.87 0.87 0.83 0.57 6.96 3.09 0.83

time (sec)

N/A 0.006 0.012 0.075 0.301 0.601 4.155 0.378 0.061

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

16 16 18 15 16 10 80 69 16

N.S.

1 1.00 1.12 0.94 1.00 0.62 5.00 4.31 1.00

time (sec)

N/A 0.002 0.005 0.100 0.305 0.512 2.225 0.398 0.020

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F C B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

21 21 19 23 34 8 0 15 59

N.S.

1 1.00 0.90 1.10 1.62 0.38 0.00 0.71 2.81

time (sec)

N/A 0.022 0.013 0.079 0.256 0.351 0.000 0.410 1.204

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

17 17 18 18 17 13 68 70 17

N.S.

1 1.00 1.06 1.06 1.00 0.76 4.00 4.12 1.00

time (sec)

N/A 0.006 0.013 0.091 0.297 0.406 3.958 0.405 0.076

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

23 23 18 20 19 11 80 71 16

N.S.

1 1.00 0.78 0.87 0.83 0.48 3.48 3.09 0.70

time (sec)

N/A 0.006 0.011 0.089 0.300 0.354 7.727 0.397 1.066

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 47 21 33 58 0 0 -1

N.S.

1 1.00 1.74 0.78 1.22 2.15 0.00 0.00 -0.04

time (sec)

N/A 0.025 0.014 0.224 0.291 0.446 0.000 0.000 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 81 479 56 88 0 0 -1

N.S.

1 1.00 1.59 9.39 1.10 1.73 0.00 0.00 -0.02

time (sec)

N/A 0.045 0.012 0.170 0.302 0.416 0.000 0.000 0.000

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A A F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

77 77 109 501 78 118 0 0 -1

N.S.

1 1.00 1.42 6.51 1.01 1.53 0.00 0.00 -0.01

time (sec)

N/A 0.063 0.024 0.171 0.305 0.425 0.000 0.000 0.000

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

307 307 271 5366 281 900 0 0 -1

N.S.

1 1.00 0.88 17.48 0.92 2.93 0.00 0.00 -0.00

time (sec)

N/A 0.327 8.594 9.969 0.477 0.389 0.000 0.000 0.000

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

231 231 203 5062 215 746 0 0 -1

N.S.

1 1.00 0.88 21.91 0.93 3.23 0.00 0.00 -0.00

time (sec)

N/A 0.264 6.879 1.330 0.483 0.454 0.000 0.000 0.000

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

150 150 366 361 142 552 0 0 -1

N.S.

1 1.00 2.44 2.41 0.95 3.68 0.00 0.00 -0.01

time (sec)

N/A 0.160 4.844 0.914 0.478 0.400 0.000 0.000 0.000

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

18 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06

time (sec)

N/A 0.111 12.321 0.090 0.000 0.000 0.000 0.000 0.000

Problem 288

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

155 155 144 1769 149 451 0 0 -1

N.S.

1 1.00 0.93 11.41 0.96 2.91 0.00 0.00 -0.01

time (sec)

N/A 0.198 3.598 1.285 0.733 0.408 0.000 0.000 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

128 128 118 1710 125 382 0 0 -1

N.S.

1 1.00 0.92 13.36 0.98 2.98 0.00 0.00 -0.01

time (sec)

N/A 0.179 4.037 1.041 0.718 0.387 0.000 0.000 0.000

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 91 1627 101 323 0 0 -1

N.S.

1 1.00 0.90 16.11 1.00 3.20 0.00 0.00 -0.01

time (sec)

N/A 0.156 3.612 0.880 0.723 0.452 0.000 0.000 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

69 69 201 265 72 239 0 0 -1

N.S.

1 1.00 2.91 3.84 1.04 3.46 0.00 0.00 -0.01

time (sec)

N/A 0.096 3.531 0.492 0.756 0.452 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 A A A

verified

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

size

19 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05

time (sec)

N/A 0.059 3.585 0.113 0.000 0.000 0.000 0.000 0.000

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

168 168 144 1773 146 424 0 0 -1

N.S.

1 1.00 0.86 10.55 0.87 2.52 0.00 0.00 -0.01

time (sec)

N/A 0.212 3.169 1.282 0.718 0.372 0.000 0.000 0.000

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

139 139 119 1716 123 360 0 0 -1

N.S.

1 1.00 0.86 12.35 0.88 2.59 0.00 0.00 -0.01

time (sec)

N/A 0.182 4.134 1.103 0.705 0.389 0.000 0.000 0.000

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

110 110 93 1635 100 306 0 0 -1

N.S.

1 1.00 0.85 14.86 0.91 2.78 0.00 0.00 -0.01

time (sec)

N/A 0.156 4.081 0.941 0.700 0.352 0.000 0.000 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

76 76 200 299 73 228 0 0 -1

N.S.

1 1.00 2.63 3.93 0.96 3.00 0.00 0.00 -0.01

time (sec)

N/A 0.098 3.490 0.510 0.706 0.385 0.000 0.000 0.000

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A A

verified

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

size

22 0 0 0 0 0 0 0 -1

N.S.

1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05

time (sec)

N/A 0.049 3.759 0.122 0.000 0.000 0.000 0.000 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

303 303 265 5294 277 880 0 0 -1

N.S.

1 1.00 0.87 17.47 0.91 2.90 0.00 0.00 -0.00

time (sec)

N/A 0.322 7.640 10.248 0.488 0.511 0.000 0.000 0.000

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

229 229 199 4990 213 730 0 0 -1

N.S.

1 1.00 0.87 21.79 0.93 3.19 0.00 0.00 -0.00

time (sec)

N/A 0.267 6.169 1.447 0.483 0.440 0.000 0.000 0.000

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B A B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

150 150 369 361 142 540 0 0 -1

N.S.

1 1.00 2.46 2.41 0.95 3.60 0.00 0.00 -0.01

time (sec)

N/A 0.162 3.332 1.018 0.487 0.479 0.000 0.000 0.000