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2.2.4 Integrals 301 to 400

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 301

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 94 70 117 129 152 112 116 83

N.S.

1 1.00 0.74 1.24 1.37 1.62 1.19 1.23 0.88

time (sec)

N/A 0.291 0.114 13.598 0.227 0.249 0.420 0.273 0.159

Problem 302

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

31 36 27 26 78 64 44 82 26

N.S.

1 1.16 0.87 0.84 2.52 2.06 1.42 2.65 0.84

time (sec)

N/A 0.229 0.048 8.601 0.201 0.254 0.213 0.272 2.133

Problem 303

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

73 73 61 71 64 103 0 64 0

N.S.

1 1.00 0.84 0.97 0.88 1.41 0.00 0.88 0.00

time (sec)

N/A 0.370 0.060 8.326 0.308 0.253 0.000 0.271 0.000

Problem 304

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

124 124 104 151 76 214 0 144 0

N.S.

1 1.00 0.84 1.22 0.61 1.73 0.00 1.16 0.00

time (sec)

N/A 0.474 0.212 9.303 0.321 0.291 0.000 0.267 0.000

Problem 305

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

184 184 162 250 88 338 0 243 0

N.S.

1 1.00 0.88 1.36 0.48 1.84 0.00 1.32 0.00

time (sec)

N/A 0.555 0.304 14.241 0.303 0.254 0.000 0.282 0.000

Problem 306

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

238 238 212 349 88 397 0 342 0

N.S.

1 1.00 0.89 1.47 0.37 1.67 0.00 1.44 0.00

time (sec)

N/A 0.656 0.287 21.045 0.311 0.263 0.000 0.255 0.000

Problem 307

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

141 141 112 0 117 172 0 0 0

N.S.

1 1.00 0.79 0.00 0.83 1.22 0.00 0.00 0.00

time (sec)

N/A 0.423 0.078 0.000 0.121 0.087 0.000 0.000 0.000

Problem 308

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 95 146 171 191 226 145 126

N.S.

1 1.34 0.61 0.94 1.10 1.23 1.46 0.94 0.81

time (sec)

N/A 0.742 0.422 13.011 0.223 0.249 0.540 0.261 2.334

Problem 309

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 72 114 127 154 150 113 89

N.S.

1 1.10 0.71 1.13 1.26 1.52 1.49 1.12 0.88

time (sec)

N/A 0.383 0.140 10.400 0.238 0.261 0.410 0.266 0.220

Problem 310

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 55

N.S.

1 1.15 0.77 1.06 1.40 1.66 1.69 1.25 0.85

time (sec)

N/A 0.324 0.087 7.361 0.225 0.244 0.310 0.264 0.163

Problem 311

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 0.181 0.002 4.709 0.224 0.250 0.136 0.262 0.069

Problem 312

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 0.303 0.038 4.558 0.299 0.239 0.000 0.264 0.000

Problem 313

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 78 105 53 139 0 100 0

N.S.

1 1.00 0.88 1.18 0.60 1.56 0.00 1.12 0.00

time (sec)

N/A 0.356 0.155 5.328 0.305 0.247 0.000 0.265 0.000

Problem 314

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

125 125 113 173 60 229 0 168 0

N.S.

1 1.00 0.90 1.38 0.48 1.83 0.00 1.34 0.00

time (sec)

N/A 0.423 0.319 5.542 0.329 0.253 0.000 0.260 0.000

Problem 315

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 61 264 0 236 0

N.S.

1 1.00 0.89 1.43 0.36 1.56 0.00 1.40 0.00

time (sec)

N/A 0.478 0.319 8.566 0.286 0.247 0.000 0.258 0.000

Problem 316

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

209 209 174 0 171 248 0 0 0

N.S.

1 1.00 0.83 0.00 0.82 1.19 0.00 0.00 0.00

time (sec)

N/A 0.504 0.218 0.000 0.147 0.083 0.000 0.000 0.000

Problem 317

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

202 202 136 213 245 274 253 212 173

N.S.

1 1.00 0.67 1.05 1.21 1.36 1.25 1.05 0.86

time (sec)

N/A 0.473 0.315 39.141 0.221 0.257 0.770 0.265 0.289

Problem 318

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 98 165 187 214 182 164 112

N.S.

1 1.00 0.66 1.11 1.26 1.45 1.23 1.11 0.76

time (sec)

N/A 0.394 0.277 26.872 0.240 0.272 0.542 0.278 0.244

Problem 319

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 94 70 116 129 153 112 116 71

N.S.

1 1.00 0.74 1.23 1.37 1.63 1.19 1.23 0.76

time (sec)

N/A 0.290 0.116 19.315 0.221 0.259 0.401 0.266 0.156

Problem 320

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

31 30 27 26 78 79 44 82 26

N.S.

1 0.97 0.87 0.84 2.52 2.55 1.42 2.65 0.84

time (sec)

N/A 0.215 0.049 12.892 0.206 0.251 0.209 0.278 2.146

Problem 321

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

73 73 63 71 64 103 0 64 0

N.S.

1 1.00 0.86 0.97 0.88 1.41 0.00 0.88 0.00

time (sec)

N/A 0.362 0.054 11.172 0.307 0.251 0.000 0.315 0.000

Problem 322

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

124 124 106 147 76 203 0 140 0

N.S.

1 1.00 0.85 1.19 0.61 1.64 0.00 1.13 0.00

time (sec)

N/A 0.450 0.162 12.740 0.321 0.247 0.000 0.262 0.000

Problem 323

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

184 184 164 246 88 336 0 239 0

N.S.

1 1.00 0.89 1.34 0.48 1.83 0.00 1.30 0.00

time (sec)

N/A 0.530 0.241 13.449 0.309 0.258 0.000 0.292 0.000

Problem 324

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

238 238 212 349 88 392 0 342 0

N.S.

1 1.00 0.89 1.47 0.37 1.65 0.00 1.44 0.00

time (sec)

N/A 0.629 0.287 21.615 0.333 0.245 0.000 0.273 0.000

Problem 325

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

155 155 119 0 117 172 0 0 0

N.S.

1 1.00 0.77 0.00 0.75 1.11 0.00 0.00 0.00

time (sec)

N/A 0.457 0.130 0.000 0.131 0.085 0.000 0.000 0.000

Problem 326

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

143 143 90 146 171 248 314 145 126

N.S.

1 1.00 0.63 1.02 1.20 1.73 2.20 1.01 0.88

time (sec)

N/A 0.402 0.587 88.148 0.226 0.262 1.017 0.266 2.465

Problem 327

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

105 105 72 114 127 202 212 113 89

N.S.

1 1.00 0.69 1.09 1.21 1.92 2.02 1.08 0.85

time (sec)

N/A 0.339 0.151 63.257 0.219 0.279 0.771 0.261 0.347

Problem 328

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

67 67 50 82 91 148 148 81 55

N.S.

1 1.00 0.75 1.22 1.36 2.21 2.21 1.21 0.82

time (sec)

N/A 0.261 0.163 44.818 0.216 0.255 0.545 0.269 0.251

Problem 329

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

31 29 35 34 56 72 42 57 26

N.S.

1 0.94 1.13 1.10 1.81 2.32 1.35 1.84 0.84

time (sec)

N/A 0.220 0.050 31.923 0.206 0.243 0.309 0.269 0.109

Problem 330

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 0.319 0.526 28.397 0.286 0.254 0.000 0.272 0.000

Problem 331

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

89 89 78 105 53 159 0 100 0

N.S.

1 1.00 0.88 1.18 0.60 1.79 0.00 1.12 0.00

time (sec)

N/A 0.385 0.143 30.955 0.288 0.245 0.000 0.280 0.000

Problem 332

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

131 131 118 173 61 274 0 168 0

N.S.

1 1.00 0.90 1.32 0.47 2.09 0.00 1.28 0.00

time (sec)

N/A 0.447 0.156 32.460 0.298 0.262 0.000 0.272 0.000

Problem 333

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

169 169 150 241 61 315 0 236 0

N.S.

1 1.00 0.89 1.43 0.36 1.86 0.00 1.40 0.00

time (sec)

N/A 0.506 0.212 49.265 0.278 0.250 0.000 0.272 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 16 100 18 17 18 20

N.S.

1 1.00 1.20 1.60 10.00 1.80 1.70 1.80 2.00

time (sec)

N/A 0.192 0.336 0.132 0.489 0.257 10.115 0.272 2.173

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 118 88 116 84 257 0 0 0

N.S.

1 1.30 0.97 1.27 0.92 2.82 0.00 0.00 0.00

time (sec)

N/A 0.603 0.178 0.468 0.262 0.273 0.000 0.000 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 88 66 94 63 207 0 0 0

N.S.

1 1.35 1.02 1.45 0.97 3.18 0.00 0.00 0.00

time (sec)

N/A 0.470 0.116 0.504 0.259 0.258 0.000 0.000 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 59 44 70 40 141 0 0 0

N.S.

1 1.31 0.98 1.56 0.89 3.13 0.00 0.00 0.00

time (sec)

N/A 0.329 0.088 0.470 0.263 0.257 0.000 0.000 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 13 21 37 0 24 11

N.S.

1 1.00 1.00 1.18 1.91 3.36 0.00 2.18 1.00

time (sec)

N/A 0.170 0.001 0.164 0.213 0.245 0.000 0.258 0.063

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 16 22 18 15 18 20

N.S.

1 1.00 1.20 1.60 2.20 1.80 1.50 1.80 2.00

time (sec)

N/A 0.184 9.075 0.225 0.267 0.248 1.006 0.250 2.189

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 16 29 18 17 18 20

N.S.

1 1.00 1.20 1.60 2.90 1.80 1.70 1.80 2.00

time (sec)

N/A 0.188 16.638 0.212 0.266 0.255 0.847 0.251 2.212

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 18 20 20 19 20 20

N.S.

1 1.00 1.12 1.12 1.25 1.25 1.19 1.25 1.25

time (sec)

N/A 0.464 48.176 0.123 0.361 0.252 35.580 0.277 2.214

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 125 130 0 0 672 0 0 0

N.S.

1 1.11 1.15 0.00 0.00 5.95 0.00 0.00 0.00

time (sec)

N/A 0.544 0.217 0.000 0.000 0.267 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 75 85 154 0 468 0 0 0

N.S.

1 1.09 1.23 2.23 0.00 6.78 0.00 0.00 0.00

time (sec)

N/A 0.354 0.223 0.751 0.000 0.255 0.000 0.000 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 32 59 37 116 0 70 49

N.S.

1 1.00 1.33 2.46 1.54 4.83 0.00 2.92 2.04

time (sec)

N/A 0.234 0.036 0.482 0.362 0.258 0.000 0.263 0.076

Problem 345

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

11 11 11 12 23 54 0 23 13

N.S.

1 1.00 1.00 1.09 2.09 4.91 0.00 2.09 1.18

time (sec)

N/A 0.180 0.003 0.245 0.200 0.241 0.000 0.272 0.059

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 18 60 20 17 20 20

N.S.

1 1.00 1.12 1.12 3.75 1.25 1.06 1.25 1.25

time (sec)

N/A 0.323 6.146 0.209 0.325 0.245 1.448 0.414 2.178

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 18 64 20 19 20 20

N.S.

1 1.00 1.12 1.12 4.00 1.25 1.19 1.25 1.25

time (sec)

N/A 0.344 6.594 0.212 0.331 0.256 1.520 0.684 2.202

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 18 20 20 19 20 20

N.S.

1 1.00 1.11 1.00 1.11 1.11 1.06 1.11 1.11

time (sec)

N/A 0.560 39.727 0.120 0.358 0.252 110.413 0.290 2.259

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 102 86 121 110 1113 0 0 0

N.S.

1 1.23 1.04 1.46 1.33 13.41 0.00 0.00 0.00

time (sec)

N/A 0.559 0.978 2.531 0.284 0.269 0.000 0.000 0.000

Problem 350

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

42 47 55 73 94 378 0 142 102

N.S.

1 1.12 1.31 1.74 2.24 9.00 0.00 3.38 2.43

time (sec)

N/A 0.344 0.091 1.640 0.282 0.260 0.000 0.297 2.216

Problem 351

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

30 30 30 43 131 105 0 184 36

N.S.

1 1.00 1.00 1.43 4.37 3.50 0.00 6.13 1.20

time (sec)

N/A 0.251 0.181 1.152 0.216 0.247 0.000 0.278 2.203

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 15 14 23 84 0 27 13

N.S.

1 1.00 1.00 0.93 1.53 5.60 0.00 1.80 0.87

time (sec)

N/A 0.186 0.001 0.610 0.208 0.241 0.000 0.256 2.176

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 18 101 20 17 20 20

N.S.

1 1.00 1.11 1.00 5.61 1.11 0.94 1.11 1.11

time (sec)

N/A 0.345 22.239 0.230 0.305 0.245 3.862 0.273 2.209

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 18 100 20 19 20 20

N.S.

1 1.00 1.11 1.00 5.56 1.11 1.06 1.11 1.11

time (sec)

N/A 0.387 18.928 0.272 0.306 0.253 4.616 0.268 2.219

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 18 20 20 19 20 22

N.S.

1 1.00 1.12 1.12 1.25 1.25 1.19 1.25 1.38

time (sec)

N/A 0.414 14.706 0.200 0.375 0.246 38.334 0.263 2.203

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

195 226 211 0 0 609 0 0 0

N.S.

1 1.16 1.08 0.00 0.00 3.12 0.00 0.00 0.00

time (sec)

N/A 1.109 0.196 0.000 0.000 0.267 0.000 0.000 0.000

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

135 153 153 0 0 477 0 0 0

N.S.

1 1.13 1.13 0.00 0.00 3.53 0.00 0.00 0.00

time (sec)

N/A 0.767 0.144 0.000 0.000 0.267 0.000 0.000 0.000

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 93 162 0 328 0 0 0

N.S.

1 1.00 1.21 2.10 0.00 4.26 0.00 0.00 0.00

time (sec)

N/A 0.439 0.085 0.664 0.000 0.260 0.000 0.000 0.000

Problem 359

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

23 21 23 21 41 86 0 32 49

N.S.

1 0.91 1.00 0.91 1.78 3.74 0.00 1.39 2.13

time (sec)

N/A 0.190 0.003 0.322 0.321 0.252 0.000 0.266 0.063

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 18 20 20 17 20 22

N.S.

1 1.00 1.12 1.12 1.25 1.25 1.06 1.25 1.38

time (sec)

N/A 0.445 5.168 0.411 0.430 0.250 1.346 0.319 2.233

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

16 16 18 18 20 20 19 20 22

N.S.

1 1.00 1.12 1.12 1.25 1.25 1.19 1.25 1.38

time (sec)

N/A 0.559 4.607 0.335 0.400 0.266 1.407 0.348 2.199

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

12 12 14 20 144 22 20 22 22

N.S.

1 1.00 1.17 1.67 12.00 1.83 1.67 1.83 1.83

time (sec)

N/A 0.199 0.408 0.233 0.703 0.247 120.276 0.286 2.224

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 113 99 125 108 721 0 0 0

N.S.

1 1.27 1.11 1.40 1.21 8.10 0.00 0.00 0.00

time (sec)

N/A 0.609 1.069 1.003 0.284 0.262 0.000 0.000 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 84 77 99 84 515 0 0 0

N.S.

1 1.29 1.18 1.52 1.29 7.92 0.00 0.00 0.00

time (sec)

N/A 0.435 0.673 0.893 0.268 0.266 0.000 0.000 0.000

Problem 365

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

31 31 46 41 95 185 0 95 45

N.S.

1 1.00 1.48 1.32 3.06 5.97 0.00 3.06 1.45

time (sec)

N/A 0.254 0.115 0.954 0.238 0.257 0.000 0.285 0.106

Problem 366

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

13 13 23 17 25 33 0 24 20

N.S.

1 1.00 1.77 1.31 1.92 2.54 0.00 1.85 1.54

time (sec)

N/A 0.175 0.001 0.266 0.217 0.263 0.000 0.289 0.076

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

12 12 14 20 49 22 19 22 22

N.S.

1 1.00 1.17 1.67 4.08 1.83 1.58 1.83 1.83

time (sec)

N/A 0.198 17.056 0.380 0.297 0.246 3.313 0.284 2.211

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

12 12 14 20 68 22 20 22 22

N.S.

1 1.00 1.17 1.67 5.67 1.83 1.67 1.83 1.83

time (sec)

N/A 0.198 10.978 0.376 0.299 0.242 3.960 0.285 2.251

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

18 18 20 20 22 22 0 22 22

N.S.

1 1.00 1.11 1.11 1.22 1.22 0.00 1.22 1.22

time (sec)

N/A 0.291 52.673 0.213 0.392 0.253 0.000 0.293 2.282

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

240 420 245 0 0 2163 0 0 0

N.S.

1 1.75 1.02 0.00 0.00 9.01 0.00 0.00 0.00

time (sec)

N/A 1.685 2.006 0.000 0.000 0.293 0.000 0.000 0.000

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

143 259 180 0 0 1577 0 0 0

N.S.

1 1.81 1.26 0.00 0.00 11.03 0.00 0.00 0.00

time (sec)

N/A 1.246 0.588 0.000 0.000 0.287 0.000 0.000 0.000

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 147 116 178 0 1064 0 0 0

N.S.

1 1.62 1.27 1.96 0.00 11.69 0.00 0.00 0.00

time (sec)

N/A 0.673 0.638 1.395 0.000 0.287 0.000 0.000 0.000

Problem 373

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

34 34 34 43 66 269 0 76 82

N.S.

1 1.00 1.00 1.26 1.94 7.91 0.00 2.24 2.41

time (sec)

N/A 0.258 0.003 1.033 0.292 0.265 0.000 0.266 2.219

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 20 131 22 19 22 22

N.S.

1 1.00 1.11 1.11 7.28 1.22 1.06 1.22 1.22

time (sec)

N/A 0.288 15.276 0.351 0.357 0.257 8.664 1.766 2.245

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 20 133 22 20 22 22

N.S.

1 1.00 1.11 1.11 7.39 1.22 1.11 1.22 1.22

time (sec)

N/A 0.287 11.082 0.407 0.361 0.247 10.785 1.633 2.304

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 18 20 20 19 20 22

N.S.

1 1.00 1.11 1.00 1.11 1.11 1.06 1.11 1.22

time (sec)

N/A 0.508 17.722 0.273 0.442 0.251 113.002 0.279 2.229

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 222 159 189 181 966 0 0 0

N.S.

1 1.20 0.86 1.02 0.98 5.22 0.00 0.00 0.00

time (sec)

N/A 1.204 0.286 2.301 0.267 0.282 0.000 0.000 0.000

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

130 154 122 152 138 789 0 0 0

N.S.

1 1.18 0.94 1.17 1.06 6.07 0.00 0.00 0.00

time (sec)

N/A 0.887 0.251 1.651 0.277 0.277 0.000 0.000 0.000

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 108 72 110 95 558 0 0 0

N.S.

1 1.21 0.81 1.24 1.07 6.27 0.00 0.00 0.00

time (sec)

N/A 0.595 0.299 1.242 0.266 0.252 0.000 0.000 0.000

Problem 380

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

28 25 25 25 56 197 0 60 48

N.S.

1 0.89 0.89 0.89 2.00 7.04 0.00 2.14 1.71

time (sec)

N/A 0.207 0.012 0.731 0.307 0.261 0.000 0.269 0.065

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 18 46 20 17 20 22

N.S.

1 1.00 1.11 1.00 2.56 1.11 0.94 1.11 1.22

time (sec)

N/A 0.539 12.197 0.419 0.357 0.242 2.823 0.268 2.205

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 18 53 20 19 20 22

N.S.

1 1.00 1.11 1.00 2.94 1.11 1.06 1.11 1.22

time (sec)

N/A 0.633 10.521 0.379 0.331 0.238 3.444 0.261 2.242

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

18 18 20 20 22 22 0 22 22

N.S.

1 1.00 1.11 1.11 1.22 1.22 0.00 1.22 1.22

time (sec)

N/A 0.558 45.958 0.277 0.440 0.248 0.000 0.281 2.305

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

162 201 196 0 0 1225 0 0 0

N.S.

1 1.24 1.21 0.00 0.00 7.56 0.00 0.00 0.00

time (sec)

N/A 1.125 0.878 0.000 0.000 0.281 0.000 0.000 0.000

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 125 132 205 0 879 0 0 0

N.S.

1 1.20 1.27 1.97 0.00 8.45 0.00 0.00 0.00

time (sec)

N/A 0.769 0.812 0.893 0.000 0.268 0.000 0.000 0.000

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A C A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 56 50 94 81 283 0 102 90

N.S.

1 1.22 1.09 2.04 1.76 6.15 0.00 2.22 1.96

time (sec)

N/A 0.456 0.223 0.717 0.355 0.257 0.000 0.301 0.113

Problem 387

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 22 21 33 54 31 0 41 22

N.S.

1 1.05 1.00 1.57 2.57 1.48 0.00 1.95 1.05

time (sec)

N/A 0.212 0.005 0.373 0.208 0.251 0.000 0.271 0.082

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 20 79 22 19 22 22

N.S.

1 1.00 1.11 1.11 4.39 1.22 1.06 1.22 1.22

time (sec)

N/A 0.561 8.597 0.350 0.352 0.248 8.511 0.876 2.278

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

18 18 20 20 87 22 20 22 22

N.S.

1 1.00 1.11 1.11 4.83 1.22 1.11 1.22 1.22

time (sec)

N/A 0.698 6.401 0.348 0.350 0.266 10.905 1.227 2.332

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

12 12 14 20 171 22 0 22 22

N.S.

1 1.00 1.17 1.67 14.25 1.83 0.00 1.83 1.83

time (sec)

N/A 0.211 0.687 0.250 0.735 0.253 0.000 0.312 2.328

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

183 230 249 234 236 2207 0 0 0

N.S.

1 1.26 1.36 1.28 1.29 12.06 0.00 0.00 0.00

time (sec)

N/A 1.361 1.539 0.669 0.254 0.276 0.000 0.000 0.000

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 146 196 164 183 1649 0 0 0

N.S.

1 1.26 1.69 1.41 1.58 14.22 0.00 0.00 0.00

time (sec)

N/A 0.856 1.354 0.661 0.265 0.278 0.000 0.000 0.000

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 100 69 111 131 1106 0 0 0

N.S.

1 1.22 0.84 1.35 1.60 13.49 0.00 0.00 0.00

time (sec)

N/A 0.495 0.596 0.575 0.266 0.270 0.000 0.000 0.000

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 36 27 23 61 339 0 65 25

N.S.

1 1.33 1.00 0.85 2.26 12.56 0.00 2.41 0.93

time (sec)

N/A 0.241 0.001 0.372 0.297 0.273 0.000 0.277 2.219

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

12 12 14 20 111 22 19 22 22

N.S.

1 1.00 1.17 1.67 9.25 1.83 1.58 1.83 1.83

time (sec)

N/A 0.200 13.219 0.405 0.286 0.249 19.856 0.280 2.285

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

12 12 14 20 143 22 20 22 22

N.S.

1 1.00 1.17 1.67 11.92 1.83 1.67 1.83 1.83

time (sec)

N/A 0.207 8.077 0.394 0.292 0.242 27.048 0.273 2.370

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 16 102 18 17 18 20

N.S.

1 1.00 1.20 1.60 10.20 1.80 1.70 1.80 2.00

time (sec)

N/A 0.202 5.997 0.120 0.502 0.255 108.551 0.263 2.203

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 142 91 200 130 216 0 0 0

N.S.

1 1.63 1.05 2.30 1.49 2.48 0.00 0.00 0.00

time (sec)

N/A 0.649 0.003 0.323 0.256 0.262 0.000 0.000 0.000

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

63 106 66 166 96 168 0 0 0

N.S.

1 1.68 1.05 2.63 1.52 2.67 0.00 0.00 0.00

time (sec)

N/A 0.492 0.003 0.313 0.251 0.268 0.000 0.000 0.000

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 71 47 122 58 112 0 0 0

N.S.

1 1.58 1.04 2.71 1.29 2.49 0.00 0.00 0.00

time (sec)

N/A 0.342 0.003 0.318 0.240 0.258 0.000 0.000 0.000

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