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 Reduce Mupad

grade

N/A A A A A A C A B B

verified

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

size

85 156 70 88 106 96 206 106 114 45

N.S.

1 1.84 0.82 1.04 1.25 1.13 2.42 1.25 1.34 0.53

time (sec)

N/A 0.286 0.083 0.623 0.108 0.074 0.927 0.124 0.164 0.046

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A C A B B

verified

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

size

51 55 34 50 53 59 192 56 49 31

N.S.

1 1.08 0.67 0.98 1.04 1.16 3.76 1.10 0.96 0.61

time (sec)

N/A 0.158 0.059 0.612 0.107 0.074 0.969 0.197 0.166 0.164

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A C A B B

verified

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

size

51 55 34 50 53 59 238 56 49 32

N.S.

1 1.08 0.67 0.98 1.04 1.16 4.67 1.10 0.96 0.63

time (sec)

N/A 0.161 0.057 0.526 0.110 0.070 0.820 0.193 0.166 0.038

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A C F A B B

verified

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

size

106 197 93 107 142 139 0 148 115 49

N.S.

1 1.86 0.88 1.01 1.34 1.31 0.00 1.40 1.08 0.46

time (sec)

N/A 0.312 0.101 0.450 0.125 0.142 0.000 0.127 0.165 0.058

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A C F A B B

verified

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

size

110 203 97 113 148 143 0 156 121 51

N.S.

1 1.85 0.88 1.03 1.35 1.30 0.00 1.42 1.10 0.46

time (sec)

N/A 0.310 0.094 0.512 0.120 0.099 0.000 0.124 0.167 0.027

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A C F B B B

verified

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

size

57 60 47 57 61 139 0 193 56 45

N.S.

1 1.05 0.82 1.00 1.07 2.44 0.00 3.39 0.98 0.79

time (sec)

N/A 0.163 0.038 0.214 0.114 0.102 0.000 0.125 0.167 0.049

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A C F B B B

verified

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

size

59 62 49 61 65 143 0 201 118 47

N.S.

1 1.05 0.83 1.03 1.10 2.42 0.00 3.41 2.00 0.80

time (sec)

N/A 0.163 0.038 0.208 0.156 0.105 0.000 0.126 0.167 0.029

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A C A B B

verified

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

size

58 65 58 60 61 63 243 64 63 46

N.S.

1 1.12 1.00 1.03 1.05 1.09 4.19 1.10 1.09 0.79

time (sec)

N/A 0.166 0.057 1.332 0.118 0.086 1.230 0.155 0.166 0.039

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 101 150 96 0 255 0 345 91 75

N.S.

1 1.06 1.58 1.01 0.00 2.68 0.00 3.63 0.96 0.79

time (sec)

N/A 0.230 0.304 0.481 0.000 0.078 0.000 0.132 0.166 0.197

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

230 237 221 239 0 702 0 1057 651 0

N.S.

1 1.03 0.96 1.04 0.00 3.05 0.00 4.60 2.83 0.00

time (sec)

N/A 0.273 0.452 0.146 0.000 0.108 0.000 0.257 0.208 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

192 196 167 206 0 540 0 711 471 0

N.S.

1 1.02 0.87 1.07 0.00 2.81 0.00 3.70 2.45 0.00

time (sec)

N/A 0.243 0.322 0.142 0.000 0.110 0.000 0.221 0.190 0.000

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

154 155 128 173 0 410 0 423 320 0

N.S.

1 1.01 0.83 1.12 0.00 2.66 0.00 2.75 2.08 0.00

time (sec)

N/A 0.206 0.238 0.146 0.000 0.098 0.000 0.189 0.176 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 114 95 140 0 300 0 232 196 88

N.S.

1 0.98 0.82 1.21 0.00 2.59 0.00 2.00 1.69 0.76

time (sec)

N/A 0.190 0.166 0.142 0.000 0.122 0.000 0.167 0.173 0.203

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 72 72 107 0 236 0 93 102 260

N.S.

1 1.00 1.00 1.49 0.00 3.28 0.00 1.29 1.42 3.61

time (sec)

N/A 0.166 0.112 0.141 0.000 0.144 0.000 0.132 0.168 2.177

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 66 0 0 241 0 131 78 0

N.S.

1 1.00 1.00 0.00 0.00 3.65 0.00 1.98 1.18 0.00

time (sec)

N/A 0.162 0.075 0.000 0.000 0.133 0.000 0.150 0.168 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 32 27 0 65 0 152 89 27

N.S.

1 1.00 1.00 0.84 0.00 2.03 0.00 4.75 2.78 0.84

time (sec)

N/A 0.133 0.023 0.145 0.000 0.113 0.000 0.156 0.174 0.381

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 46 54 0 175 0 447 239 127

N.S.

1 1.00 0.70 0.82 0.00 2.65 0.00 6.77 3.62 1.92

time (sec)

N/A 0.155 0.073 0.144 0.000 0.246 0.000 0.181 0.170 0.448

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 114 77 105 0 337 0 689 446 203

N.S.

1 1.13 0.76 1.04 0.00 3.34 0.00 6.82 4.42 2.01

time (sec)

N/A 0.176 0.124 0.151 0.000 0.553 0.000 0.195 0.175 0.527

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

136 162 118 171 0 532 0 989 706 292

N.S.

1 1.19 0.87 1.26 0.00 3.91 0.00 7.27 5.19 2.15

time (sec)

N/A 0.202 0.225 0.152 0.000 2.164 0.000 0.242 0.185 0.601

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

171 210 170 248 0 781 0 1345 1027 397

N.S.

1 1.23 0.99 1.45 0.00 4.57 0.00 7.87 6.01 2.32

time (sec)

N/A 0.226 0.321 0.158 0.000 5.145 0.000 0.565 0.206 0.729

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

227 237 220 239 0 702 0 1673 651 0

N.S.

1 1.04 0.97 1.05 0.00 3.09 0.00 7.37 2.87 0.00

time (sec)

N/A 0.254 0.394 0.143 0.000 0.128 0.000 0.376 0.215 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

189 196 167 206 0 534 0 1037 471 0

N.S.

1 1.04 0.88 1.09 0.00 2.83 0.00 5.49 2.49 0.00

time (sec)

N/A 0.229 0.292 0.156 0.000 0.109 0.000 0.282 0.181 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

151 155 127 173 0 410 0 557 320 0

N.S.

1 1.03 0.84 1.15 0.00 2.72 0.00 3.69 2.12 0.00

time (sec)

N/A 0.203 0.211 0.145 0.000 0.107 0.000 0.208 0.175 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 113 94 140 0 306 0 233 198 0

N.S.

1 1.00 0.83 1.24 0.00 2.71 0.00 2.06 1.75 0.00

time (sec)

N/A 0.182 0.144 0.248 0.000 0.089 0.000 0.161 0.166 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 102 86 0 0 311 0 204 170 0

N.S.

1 1.04 0.88 0.00 0.00 3.17 0.00 2.08 1.73 0.00

time (sec)

N/A 0.178 0.161 0.000 0.000 0.125 0.000 0.192 0.168 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

92 97 81 0 0 325 0 455 150 0

N.S.

1 1.05 0.88 0.00 0.00 3.53 0.00 4.95 1.63 0.00

time (sec)

N/A 0.173 0.118 0.000 0.000 0.221 0.000 0.223 0.171 0.000

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 32 27 0 104 0 374 161 27

N.S.

1 1.00 1.00 0.84 0.00 3.25 0.00 11.69 5.03 0.84

time (sec)

N/A 0.133 0.025 0.148 0.000 0.245 0.000 0.235 0.172 0.456

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 46 54 0 235 0 1024 345 178

N.S.

1 1.00 0.70 0.82 0.00 3.56 0.00 15.52 5.23 2.70

time (sec)

N/A 0.153 0.090 0.145 0.000 0.735 0.000 0.270 0.172 0.511

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 114 77 105 0 426 0 1394 592 268

N.S.

1 1.13 0.76 1.04 0.00 4.22 0.00 13.80 5.86 2.65

time (sec)

N/A 0.181 0.166 0.160 0.000 2.348 0.000 0.320 0.190 0.623

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

136 162 118 171 0 649 0 1823 892 376

N.S.

1 1.19 0.87 1.26 0.00 4.77 0.00 13.40 6.56 2.76

time (sec)

N/A 0.207 0.295 0.157 0.000 5.371 0.000 0.391 0.206 0.731

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

262 278 283 272 0 882 0 3002 860 0

N.S.

1 1.06 1.08 1.04 0.00 3.37 0.00 11.46 3.28 0.00

time (sec)

N/A 0.286 0.486 0.153 0.000 0.144 0.000 0.513 0.225 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

224 237 220 239 0 702 0 1877 651 0

N.S.

1 1.06 0.98 1.07 0.00 3.13 0.00 8.38 2.91 0.00

time (sec)

N/A 0.254 0.347 0.144 0.000 0.134 0.000 0.380 0.210 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

186 196 168 206 0 540 0 1045 471 0

N.S.

1 1.05 0.90 1.11 0.00 2.90 0.00 5.62 2.53 0.00

time (sec)

N/A 0.236 0.265 0.148 0.000 0.122 0.000 0.272 0.185 0.000

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

148 154 124 173 0 412 0 427 320 0

N.S.

1 1.04 0.84 1.17 0.00 2.78 0.00 2.89 2.16 0.00

time (sec)

N/A 0.212 0.192 0.143 0.000 0.096 0.000 0.191 0.174 0.000

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 143 124 0 0 439 0 287 304 0

N.S.

1 1.04 0.90 0.00 0.00 3.18 0.00 2.08 2.20 0.00

time (sec)

N/A 0.209 0.245 0.000 0.000 0.152 0.000 0.244 0.173 0.000

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 136 119 0 0 475 0 650 379 0

N.S.

1 1.06 0.93 0.00 0.00 3.71 0.00 5.08 2.96 0.00

time (sec)

N/A 0.200 0.186 0.000 0.000 0.193 0.000 0.290 0.179 0.000

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 128 111 0 0 463 0 1025 332 0

N.S.

1 1.07 0.92 0.00 0.00 3.86 0.00 8.54 2.77 0.00

time (sec)

N/A 0.193 0.140 0.000 0.000 0.353 0.000 0.342 0.171 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 32 27 0 138 0 706 229 27

N.S.

1 1.00 1.00 0.84 0.00 4.31 0.00 22.06 7.16 0.84

time (sec)

N/A 0.131 0.029 0.145 0.000 0.620 0.000 0.351 0.183 0.579

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 46 54 0 295 0 1826 451 229

N.S.

1 1.00 0.70 0.82 0.00 4.47 0.00 27.67 6.83 3.47

time (sec)

N/A 0.149 0.117 0.254 0.000 2.440 0.000 0.447 0.187 0.620

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 114 77 105 0 513 0 2316 738 333

N.S.

1 1.13 0.76 1.04 0.00 5.08 0.00 22.93 7.31 3.30

time (sec)

N/A 0.174 0.205 0.150 0.000 5.826 0.000 0.553 0.217 0.746

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

136 162 118 171 0 765 0 2868 1078 459

N.S.

1 1.19 0.87 1.26 0.00 5.62 0.00 21.09 7.93 3.38

time (sec)

N/A 0.208 0.412 0.155 0.000 11.542 0.000 0.688 0.259 0.854

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

183 196 164 206 0 542 0 268 471 0

N.S.

1 1.07 0.90 1.13 0.00 2.96 0.00 1.46 2.57 0.00

time (sec)

N/A 0.232 0.359 0.141 0.000 0.107 0.000 0.153 0.186 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

148 155 125 173 0 412 0 198 320 0

N.S.

1 1.05 0.84 1.17 0.00 2.78 0.00 1.34 2.16 0.00

time (sec)

N/A 0.208 0.277 0.142 0.000 0.105 0.000 0.148 0.174 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 114 94 140 0 306 0 139 198 0

N.S.

1 1.01 0.83 1.24 0.00 2.71 0.00 1.23 1.75 0.00

time (sec)

N/A 0.186 0.172 0.140 0.000 0.095 0.000 0.138 0.168 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

73 73 72 107 0 235 0 97 102 261

N.S.

1 1.00 0.99 1.47 0.00 3.22 0.00 1.33 1.40 3.58

time (sec)

N/A 0.166 0.120 0.141 0.000 0.107 0.000 0.146 0.165 2.144

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

42 42 42 76 0 178 0 50 44 45

N.S.

1 1.00 1.00 1.81 0.00 4.24 0.00 1.19 1.05 1.07

time (sec)

N/A 0.146 0.048 0.141 0.000 0.085 0.000 0.139 0.165 0.174

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 30 27 0 42 0 66 43 26

N.S.

1 1.00 1.00 0.90 0.00 1.40 0.00 2.20 1.43 0.87

time (sec)

N/A 0.134 0.022 0.147 0.000 0.078 0.000 0.134 0.168 0.418

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 45 54 0 118 0 121 131 71

N.S.

1 1.00 0.68 0.82 0.00 1.79 0.00 1.83 1.98 1.08

time (sec)

N/A 0.151 0.063 0.145 0.000 0.114 0.000 0.138 0.173 0.472

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

101 114 75 95 0 251 0 227 302 133

N.S.

1 1.13 0.74 0.94 0.00 2.49 0.00 2.25 2.99 1.32

time (sec)

N/A 0.172 0.105 0.147 0.000 0.220 0.000 0.144 0.171 0.540

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

136 162 116 135 0 419 0 386 522 209

N.S.

1 1.19 0.85 0.99 0.00 3.08 0.00 2.84 3.84 1.54

time (sec)

N/A 0.208 0.168 0.151 0.000 0.515 0.000 0.172 0.173 0.680

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

171 210 168 175 0 638 0 596 803 303

N.S.

1 1.23 0.98 1.02 0.00 3.73 0.00 3.49 4.70 1.77

time (sec)

N/A 0.222 0.255 0.160 0.000 2.364 0.000 0.188 0.186 0.765

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

174 185 166 0 0 603 0 279 724 0

N.S.

1 1.06 0.95 0.00 0.00 3.47 0.00 1.60 4.16 0.00

time (sec)

N/A 0.222 0.328 0.000 0.000 0.249 0.000 0.194 0.229 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 144 124 0 0 441 0 201 485 0

N.S.

1 1.04 0.90 0.00 0.00 3.20 0.00 1.46 3.51 0.00

time (sec)

N/A 0.197 0.224 0.000 0.000 0.194 0.000 0.165 0.177 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 103 86 0 0 311 0 137 275 0

N.S.

1 1.05 0.88 0.00 0.00 3.17 0.00 1.40 2.81 0.00

time (sec)

N/A 0.174 0.169 0.000 0.000 0.143 0.000 0.166 0.172 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 66 0 0 241 0 96 120 0

N.S.

1 1.00 1.00 0.00 0.00 3.65 0.00 1.45 1.82 0.00

time (sec)

N/A 0.154 0.078 0.000 0.000 0.112 0.000 0.151 0.167 0.000

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 30 27 0 42 0 47 60 26

N.S.

1 1.00 1.00 0.90 0.00 1.40 0.00 1.57 2.00 0.87

time (sec)

N/A 0.128 0.021 0.151 0.000 0.094 0.000 0.128 0.164 0.416

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 62 42 52 0 125 0 142 121 71

N.S.

1 1.00 0.68 0.84 0.00 2.02 0.00 2.29 1.95 1.15

time (sec)

N/A 0.144 0.063 0.150 0.000 0.115 0.000 0.149 0.169 0.471

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 110 75 105 0 273 0 368 298 141

N.S.

1 1.12 0.77 1.07 0.00 2.79 0.00 3.76 3.04 1.44

time (sec)

N/A 0.163 0.095 0.159 0.000 0.215 0.000 0.202 0.172 0.606

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

134 158 114 145 0 455 0 830 579 227

N.S.

1 1.18 0.85 1.08 0.00 3.40 0.00 6.19 4.32 1.69

time (sec)

N/A 0.205 0.144 0.170 0.000 0.420 0.000 0.309 0.196 0.729

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

170 206 166 185 0 689 0 1518 886 337

N.S.

1 1.21 0.98 1.09 0.00 4.05 0.00 8.93 5.21 1.98

time (sec)

N/A 0.221 0.220 0.163 0.000 1.396 0.000 0.511 0.233 0.831

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

206 254 229 225 0 955 0 2438 1278 454

N.S.

1 1.23 1.11 1.09 0.00 4.64 0.00 11.83 6.20 2.20

time (sec)

N/A 0.252 0.341 0.171 0.000 3.654 0.000 0.891 0.342 1.032

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

204 217 218 0 0 879 0 500 1159 0

N.S.

1 1.06 1.07 0.00 0.00 4.31 0.00 2.45 5.68 0.00

time (sec)

N/A 0.240 0.376 0.000 0.000 0.619 0.000 0.234 17.106 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

170 178 166 0 0 657 0 380 817 0

N.S.

1 1.05 0.98 0.00 0.00 3.86 0.00 2.24 4.81 0.00

time (sec)

N/A 0.217 0.274 0.000 0.000 0.350 0.000 0.219 0.244 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 137 121 0 0 475 0 276 504 0

N.S.

1 1.07 0.95 0.00 0.00 3.71 0.00 2.16 3.94 0.00

time (sec)

N/A 0.189 0.203 0.000 0.000 0.242 0.000 0.197 0.183 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

92 97 81 0 0 325 0 181 207 0

N.S.

1 1.05 0.88 0.00 0.00 3.53 0.00 1.97 2.25 0.00

time (sec)

N/A 0.171 0.112 0.000 0.000 0.255 0.000 0.183 0.171 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 32 27 0 65 0 51 125 130

N.S.

1 1.00 1.00 0.84 0.00 2.03 0.00 1.59 3.91 4.06

time (sec)

N/A 0.135 0.021 0.154 0.000 0.131 0.000 0.160 0.171 0.320

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 46 53 0 118 0 126 186 127

N.S.

1 1.00 0.70 0.80 0.00 1.79 0.00 1.91 2.82 1.92

time (sec)

N/A 0.150 0.050 0.156 0.000 0.187 0.000 0.141 0.167 0.512

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 110 78 95 0 273 0 373 288 132

N.S.

1 1.12 0.80 0.97 0.00 2.79 0.00 3.81 2.94 1.35

time (sec)

N/A 0.176 0.096 0.165 0.000 0.311 0.000 0.160 0.188 0.608

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 156 118 135 0 447 0 670 579 224

N.S.

1 1.16 0.87 1.00 0.00 3.31 0.00 4.96 4.29 1.66

time (sec)

N/A 0.202 0.136 0.156 0.000 0.462 0.000 0.252 0.180 0.778

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

175 204 170 175 0 715 0 1203 918 346

N.S.

1 1.17 0.97 1.00 0.00 4.09 0.00 6.87 5.25 1.98

time (sec)

N/A 0.240 0.201 0.158 0.000 1.945 0.000 0.454 0.236 0.875

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 252 233 215 0 999 0 1964 1344 478

N.S.

1 1.18 1.09 1.01 0.00 4.69 0.00 9.22 6.31 2.24

time (sec)

N/A 0.253 0.304 0.160 0.000 4.459 0.000 0.868 0.336 1.116

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B B F A B B

verified

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

size

19 19 26 86 48 31 0 24 24 50

N.S.

1 1.00 1.37 4.53 2.53 1.63 0.00 1.26 1.26 2.63

time (sec)

N/A 0.135 0.035 0.171 0.027 0.083 0.000 0.128 0.162 0.173

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B A F A B B

verified

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

size

19 19 25 66 33 27 0 23 23 47

N.S.

1 1.00 1.32 3.47 1.74 1.42 0.00 1.21 1.21 2.47

time (sec)

N/A 0.136 0.031 0.121 0.046 0.074 0.000 0.132 0.163 0.196

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B A F A B B

verified

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

size

19 19 25 66 33 27 0 23 23 43

N.S.

1 1.00 1.32 3.47 1.74 1.42 0.00 1.21 1.21 2.26

time (sec)

N/A 0.136 0.030 0.114 0.035 0.070 0.000 0.130 0.165 0.188

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B A B A A A B B

verified

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

size

17 17 44 23 32 25 15 21 21 33

N.S.

1 1.00 2.59 1.35 1.88 1.47 0.88 1.24 1.24 1.94

time (sec)

N/A 0.134 0.048 0.098 0.032 0.086 0.576 0.131 0.162 0.179

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B A F A B B

verified

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

size

19 19 25 64 33 27 0 23 23 44

N.S.

1 1.00 1.32 3.37 1.74 1.42 0.00 1.21 1.21 2.32

time (sec)

N/A 0.136 0.031 0.109 0.044 0.085 0.000 0.126 0.166 0.190

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B B B C B B B

verified

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

size

11 11 25 57 26 26 75 23 23 50

N.S.

1 1.00 2.27 5.18 2.36 2.36 6.82 2.09 2.09 4.55

time (sec)

N/A 0.125 0.030 0.112 0.025 0.090 12.283 0.126 0.164 0.187

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B A F A B B

verified

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

size

19 19 25 66 33 27 0 23 23 46

N.S.

1 1.00 1.32 3.47 1.74 1.42 0.00 1.21 1.21 2.42

time (sec)

N/A 0.133 0.029 0.112 0.030 0.089 0.000 0.127 0.163 0.176

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B B F A B B

verified

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

size

15 15 25 66 33 28 0 23 19 47

N.S.

1 1.00 1.67 4.40 2.20 1.87 0.00 1.53 1.27 3.13

time (sec)

N/A 0.129 0.029 0.220 0.029 0.069 0.000 0.122 0.161 0.168

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

10 10 10 11 10 10 7 11 10 10

N.S.

1 1.00 1.00 1.10 1.00 1.00 0.70 1.10 1.00 1.00

time (sec)

N/A 0.122 0.000 0.078 0.044 0.077 0.027 0.121 0.165 0.164

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B B B F A B B

verified

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

size

15 15 25 66 33 28 0 23 19 43

N.S.

1 1.00 1.67 4.40 2.20 1.87 0.00 1.53 1.27 2.87

time (sec)

N/A 0.129 0.028 0.115 0.030 0.068 0.000 0.122 0.161 0.180

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B A A A A A B B

verified

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

size

19 19 42 26 32 25 20 21 23 37

N.S.

1 1.00 2.21 1.37 1.68 1.32 1.05 1.11 1.21 1.95

time (sec)

N/A 0.133 0.006 0.101 0.028 0.073 0.609 0.124 0.165 0.166

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B A A F A B B

verified

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

size

21 21 25 65 30 28 0 23 24 44

N.S.

1 1.00 1.19 3.10 1.43 1.33 0.00 1.10 1.14 2.10

time (sec)

N/A 0.135 0.029 0.222 0.031 0.066 0.000 0.118 0.167 0.172

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B B B C B B B

verified

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

size

11 11 25 57 26 26 75 23 23 50

N.S.

1 1.00 2.27 5.18 2.36 2.36 6.82 2.09 2.09 4.55

time (sec)

N/A 0.122 0.001 0.100 0.034 0.065 12.249 0.124 0.165 0.001

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B A A F A B B

verified

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

size

21 21 25 66 33 28 0 23 24 50

N.S.

1 1.00 1.19 3.14 1.57 1.33 0.00 1.10 1.14 2.38

time (sec)

N/A 0.137 0.029 0.121 0.051 0.142 0.000 0.122 0.164 0.171

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B A B F A B B

verified

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

size

21 21 30 65 21 44 0 18 18 44

N.S.

1 1.00 1.43 3.10 1.00 2.10 0.00 0.86 0.86 2.10

time (sec)

N/A 0.149 0.037 0.121 0.126 0.092 0.000 0.123 0.163 0.178

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B A B C A B B

verified

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

size

11 11 27 56 9 31 76 15 15 44

N.S.

1 1.00 2.45 5.09 0.82 2.82 6.91 1.36 1.36 4.00

time (sec)

N/A 0.127 0.033 0.116 0.110 0.081 12.456 0.126 0.166 0.043

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B A B F A B B

verified

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

size

21 23 30 66 19 43 0 18 18 40

N.S.

1 1.10 1.43 3.14 0.90 2.05 0.00 0.86 0.86 1.90

time (sec)

N/A 0.145 0.036 0.122 0.132 0.085 0.000 0.121 0.165 0.184

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A B B B A A C A B B

verified

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

size

10 23 57 27 18 20 24 18 24 34

N.S.

1 2.30 5.70 2.70 1.80 2.00 2.40 1.80 2.40 3.40

time (sec)

N/A 0.149 0.013 0.107 0.160 0.092 0.593 0.132 0.161 0.167

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B A B F A B B

verified

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

size

11 20 59 66 21 44 0 13 20 41

N.S.

1 1.82 5.36 6.00 1.91 4.00 0.00 1.18 1.82 3.73

time (sec)

N/A 0.152 0.015 0.131 0.112 0.078 0.000 0.125 0.163 0.176

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A C C B B

verified

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

size

29 29 28 26 16 18 87 17 14 47

N.S.

1 1.00 0.97 0.90 0.55 0.62 3.00 0.59 0.48 1.62

time (sec)

N/A 0.142 0.006 0.115 0.035 0.070 0.937 0.113 0.162 0.036

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A B A A F C B B

verified

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

size

26 26 33 66 21 44 0 23 14 47

N.S.

1 1.00 1.27 2.54 0.81 1.69 0.00 0.88 0.54 1.81

time (sec)

N/A 0.144 0.029 0.130 0.107 0.104 0.000 0.128 0.166 0.036

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B B B F A B B

verified

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

size

16 16 60 70 33 30 0 25 21 49

N.S.

1 1.00 3.75 4.38 2.06 1.88 0.00 1.56 1.31 3.06

time (sec)

N/A 0.139 0.048 0.134 0.031 0.078 0.000 0.123 0.171 0.180

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

12 12 12 12 11 11 8 12 11 11

N.S.

1 1.00 1.00 1.00 0.92 0.92 0.67 1.00 0.92 0.92

time (sec)

N/A 0.128 0.000 0.089 0.031 0.074 0.021 0.125 0.163 0.019

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B B B F A B B

verified

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

size

16 16 60 70 33 30 0 25 21 45

N.S.

1 1.00 3.75 4.38 2.06 1.88 0.00 1.56 1.31 2.81

time (sec)

N/A 0.135 0.047 0.260 0.025 0.089 0.000 0.124 0.164 0.174

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B A A A C A B B

verified

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

size

20 20 52 27 32 27 51 23 25 39

N.S.

1 1.00 2.60 1.35 1.60 1.35 2.55 1.15 1.25 1.95

time (sec)

N/A 0.138 0.059 0.112 0.031 0.089 0.621 0.129 0.162 0.175

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B A A F A B B

verified

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

size

22 22 60 70 33 30 0 25 19 46

N.S.

1 1.00 2.73 3.18 1.50 1.36 0.00 1.14 0.86 2.09

time (sec)

N/A 0.138 0.048 0.121 0.031 0.078 0.000 0.133 0.162 0.168

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B B B C B B B

verified

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

size

12 12 60 61 26 28 78 25 25 52

N.S.

1 1.00 5.00 5.08 2.17 2.33 6.50 2.08 2.08 4.33

time (sec)

N/A 0.123 0.046 0.114 0.031 0.069 12.689 0.125 0.161 0.168

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B A A F A B B

verified

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

size

22 22 60 69 30 30 0 25 26 52

N.S.

1 1.00 2.73 3.14 1.36 1.36 0.00 1.14 1.18 2.36

time (sec)

N/A 0.135 0.046 0.134 0.031 0.074 0.000 0.127 0.165 0.168

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 51 100 0 175 0 67 27 66

N.S.

1 1.00 1.19 2.33 0.00 4.07 0.00 1.56 0.63 1.53

time (sec)

N/A 0.150 0.049 0.252 0.000 0.085 0.000 0.157 0.164 0.288