Integrals 601 to 700

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 601

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

92 92 92 86 88 207 138 101 135

N.S.

1 1.00 1.00 0.93 0.96 2.25 1.50 1.10 1.47

time (sec)

N/A 0.057 0.104 2.895 0.206 0.269 7.219 0.304 5.279

Problem 602

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

109 109 87 87 109 211 165 89 103

N.S.

1 1.00 0.80 0.80 1.00 1.94 1.51 0.82 0.94

time (sec)

N/A 0.065 0.147 2.956 0.199 0.266 18.275 0.300 5.564

Problem 603

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

143 140 104 98 173 225 219 153 137

N.S.

1 0.98 0.73 0.69 1.21 1.57 1.53 1.07 0.96

time (sec)

N/A 0.113 0.205 2.970 0.200 0.250 53.203 0.299 5.645

Problem 604

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

149 149 126 117 247 276 291 222 193

N.S.

1 1.00 0.85 0.79 1.66 1.85 1.95 1.49 1.30

time (sec)

N/A 0.105 0.210 2.907 0.199 0.266 65.945 0.291 6.238

Problem 605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

191 188 164 141 237 341 250 174 0

N.S.

1 0.98 0.86 0.74 1.24 1.79 1.31 0.91 0.00

time (sec)

N/A 0.125 0.591 3.014 0.203 0.297 0.377 0.290 0.000

Problem 606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

149 149 121 106 168 262 189 128 0

N.S.

1 1.00 0.81 0.71 1.13 1.76 1.27 0.86 0.00

time (sec)

N/A 0.065 0.145 2.971 0.195 0.291 0.318 0.306 0.000

Problem 607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 130 115 96 120 215 233 121 0

N.S.

1 0.98 0.86 0.72 0.90 1.62 1.75 0.91 0.00

time (sec)

N/A 0.067 0.303 2.917 0.201 0.274 1.399 0.297 0.000

Problem 608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 90 82 86 210 190 183 0

N.S.

1 1.00 0.81 0.74 0.77 1.89 1.71 1.65 0.00

time (sec)

N/A 0.048 0.172 2.935 0.194 0.264 1.525 0.309 0.000

Problem 609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

103 103 104 101 94 221 199 403 0

N.S.

1 1.00 1.01 0.98 0.91 2.15 1.93 3.91 0.00

time (sec)

N/A 0.048 0.159 2.945 0.201 0.281 1.829 0.300 0.000

Problem 610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 100 76 69 124 107 510 490 181

N.S.

1 1.01 0.77 0.70 1.25 1.08 5.15 4.95 1.83

time (sec)

N/A 0.051 0.150 2.882 0.211 0.274 1.743 0.306 6.223

Problem 611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

143 144 108 95 190 147 1061 579 249

N.S.

1 1.01 0.76 0.66 1.33 1.03 7.42 4.05 1.74

time (sec)

N/A 0.116 0.186 2.945 0.218 0.315 2.343 0.307 7.098

Problem 612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

189 190 141 129 258 185 1856 668 317

N.S.

1 1.01 0.75 0.68 1.37 0.98 9.82 3.53 1.68

time (sec)

N/A 0.153 0.215 2.980 0.204 0.374 3.039 0.316 7.598

Problem 613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

281 278 259 201 367 494 534 263 0

N.S.

1 0.99 0.92 0.72 1.31 1.76 1.90 0.94 0.00

time (sec)

N/A 0.189 0.946 3.050 0.232 0.415 0.510 0.309 0.000

Problem 614

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

114 114 100 91 181 179 384 150 170

N.S.

1 1.00 0.88 0.80 1.59 1.57 3.37 1.32 1.49

time (sec)

N/A 0.064 0.073 2.882 0.233 0.255 0.449 0.288 5.520

Problem 615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

235 232 200 173 299 419 432 219 0

N.S.

1 0.99 0.85 0.74 1.27 1.78 1.84 0.93 0.00

time (sec)

N/A 0.145 0.807 2.983 0.211 0.332 0.451 0.300 0.000

Problem 616

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

77 77 67 60 115 141 303 98 136

N.S.

1 1.00 0.87 0.78 1.49 1.83 3.94 1.27 1.77

time (sec)

N/A 0.041 0.054 2.953 0.198 0.262 0.361 0.294 5.353

Problem 617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

196 196 158 144 227 344 330 175 0

N.S.

1 1.00 0.81 0.73 1.16 1.76 1.68 0.89 0.00

time (sec)

N/A 0.082 0.215 2.938 0.195 0.299 0.386 0.311 0.000

Problem 618

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

111 111 103 111 103 282 158 121 191

N.S.

1 1.00 0.93 1.00 0.93 2.54 1.42 1.09 1.72

time (sec)

N/A 0.078 0.135 2.903 0.194 0.266 15.913 0.293 5.299

Problem 619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

175 172 145 127 178 293 529 168 0

N.S.

1 0.98 0.83 0.73 1.02 1.67 3.02 0.96 0.00

time (sec)

N/A 0.079 0.554 2.918 0.199 0.275 1.965 0.323 0.000

Problem 620

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

136 136 108 117 138 267 337 126 201

N.S.

1 1.00 0.79 0.86 1.01 1.96 2.48 0.93 1.48

time (sec)

N/A 0.082 0.171 2.919 0.192 0.268 21.315 0.297 5.763

Problem 621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 181 127 108 177 266 435 257 0

N.S.

1 0.98 0.69 0.59 0.96 1.45 2.36 1.40 0.00

time (sec)

N/A 0.099 0.333 2.910 0.194 0.265 2.554 0.324 0.000

Problem 622

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

181 178 116 113 222 267 348 182 208

N.S.

1 0.98 0.64 0.62 1.23 1.48 1.92 1.01 1.15

time (sec)

N/A 0.147 0.200 2.907 0.201 0.273 59.380 0.309 6.160

Problem 623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 112 120 147 266 347 407 0

N.S.

1 1.00 0.76 0.82 1.00 1.81 2.36 2.77 0.00

time (sec)

N/A 0.062 0.261 2.965 0.193 0.281 3.001 0.353 0.000

Problem 624

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

187 184 133 128 301 301 367 259 215

N.S.

1 0.98 0.71 0.68 1.61 1.61 1.96 1.39 1.15

time (sec)

N/A 0.151 0.237 2.943 0.203 0.267 84.178 0.309 6.844

Problem 625

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

114 114 99 91 181 216 468 150 207

N.S.

1 1.00 0.87 0.80 1.59 1.89 4.11 1.32 1.82

time (sec)

N/A 0.069 0.076 2.938 0.202 0.254 0.656 0.306 5.553

Problem 626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

281 278 259 203 361 495 665 265 0

N.S.

1 0.99 0.92 0.72 1.28 1.76 2.37 0.94 0.00

time (sec)

N/A 0.177 1.037 3.029 0.201 0.398 0.574 0.321 0.000

Problem 627

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

77 77 67 60 115 178 384 98 98

N.S.

1 1.00 0.87 0.78 1.49 2.31 4.99 1.27 1.27

time (sec)

N/A 0.040 0.054 2.887 0.196 0.250 0.520 0.294 5.337

Problem 628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

240 240 191 170 286 420 520 221 0

N.S.

1 1.00 0.80 0.71 1.19 1.75 2.17 0.92 0.00

time (sec)

N/A 0.104 0.285 3.002 0.208 0.327 0.478 0.343 0.000

Problem 629

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

132 132 115 125 120 360 178 141 249

N.S.

1 1.00 0.87 0.95 0.91 2.73 1.35 1.07 1.89

time (sec)

N/A 0.092 0.139 2.941 0.197 0.265 22.113 0.295 5.362

Problem 630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

217 214 175 161 235 375 915 214 0

N.S.

1 0.99 0.81 0.74 1.08 1.73 4.22 0.99 0.00

time (sec)

N/A 0.101 0.298 2.984 0.220 0.299 2.580 0.343 0.000

Problem 631

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

162 162 133 153 170 349 570 165 274

N.S.

1 1.00 0.82 0.94 1.05 2.15 3.52 1.02 1.69

time (sec)

N/A 0.095 0.196 2.997 0.215 0.268 24.117 0.301 5.835

Problem 632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 219 163 146 234 346 750 302 0

N.S.

1 0.98 0.73 0.65 1.05 1.55 3.36 1.35 0.00

time (sec)

N/A 0.134 0.463 2.975 0.198 0.280 3.116 0.421 0.000

Problem 633

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

222 219 153 144 271 319 507 242 262

N.S.

1 0.99 0.69 0.65 1.22 1.44 2.28 1.09 1.18

time (sec)

N/A 0.171 0.204 3.002 0.218 0.258 62.050 0.314 6.423

Problem 634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

228 225 164 148 285 318 607 510 0

N.S.

1 0.99 0.72 0.65 1.25 1.39 2.66 2.24 0.00

time (sec)

N/A 0.134 0.399 2.976 0.207 0.296 4.008 0.363 0.000

Problem 635

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

222 219 152 144 353 347 484 286 301

N.S.

1 0.99 0.68 0.65 1.59 1.56 2.18 1.29 1.36

time (sec)

N/A 0.183 0.259 2.942 0.212 0.276 89.314 0.319 7.165

Problem 636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

194 194 166 144 243 344 219 178 0

N.S.

1 1.00 0.86 0.74 1.25 1.77 1.13 0.92 0.00

time (sec)

N/A 0.139 0.577 2.990 0.209 0.298 0.379 0.342 0.000

Problem 637

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

112 112 99 91 181 103 240 137 105

N.S.

1 1.00 0.88 0.81 1.62 0.92 2.14 1.22 0.94

time (sec)

N/A 0.081 0.058 2.856 0.198 0.262 0.297 0.316 5.259

Problem 638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 146 131 109 175 267 177 135 0

N.S.

1 1.00 0.90 0.75 1.20 1.83 1.21 0.92 0.00

time (sec)

N/A 0.109 0.453 2.922 0.196 0.276 0.340 0.331 0.000

Problem 639

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

74 74 66 60 114 68 158 84 68

N.S.

1 1.00 0.89 0.81 1.54 0.92 2.14 1.14 0.92

time (sec)

N/A 0.050 0.043 2.866 0.182 0.263 0.229 0.299 5.150

Problem 640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 107 90 78 109 194 134 91 0

N.S.

1 1.00 0.84 0.73 1.02 1.81 1.25 0.85 0.00

time (sec)

N/A 0.042 0.092 2.925 0.209 0.270 0.305 0.305 0.000

Problem 641

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

75 75 63 63 75 157 109 82 77

N.S.

1 1.00 0.84 0.84 1.00 2.09 1.45 1.09 1.03

time (sec)

N/A 0.050 0.069 2.859 0.194 0.274 5.288 0.317 5.273

Problem 642

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

82 82 79 69 73 165 151 88 125

N.S.

1 1.00 0.96 0.84 0.89 2.01 1.84 1.07 1.52

time (sec)

N/A 0.044 0.113 2.967 0.202 0.261 0.829 0.290 6.208

Problem 643

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

80 80 77 72 77 175 99 81 65

N.S.

1 1.00 0.96 0.90 0.96 2.19 1.24 1.01 0.81

time (sec)

N/A 0.051 0.120 2.910 0.211 0.272 15.943 0.287 5.445

Problem 644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

84 84 73 61 77 173 129 156 0

N.S.

1 1.00 0.87 0.73 0.92 2.06 1.54 1.86 0.00

time (sec)

N/A 0.036 0.118 2.914 0.200 0.262 1.047 0.320 0.000

Problem 645

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

106 106 92 87 123 204 178 140 129

N.S.

1 1.00 0.87 0.82 1.16 1.92 1.68 1.32 1.22

time (sec)

N/A 0.087 0.166 2.876 0.213 0.272 42.370 0.289 5.571

Problem 646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 100 74 69 124 73 391 312 77

N.S.

1 1.01 0.75 0.70 1.25 0.74 3.95 3.15 0.78

time (sec)

N/A 0.051 0.114 2.915 0.199 0.270 1.549 0.289 5.441

Problem 647

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

151 151 128 117 190 279 301 241 207

N.S.

1 1.00 0.85 0.77 1.26 1.85 1.99 1.60 1.37

time (sec)

N/A 0.110 0.305 2.939 0.197 0.287 50.925 0.284 5.960

Problem 648

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

197 197 162 146 241 431 0 175 0

N.S.

1 1.00 0.82 0.74 1.22 2.19 0.00 0.89 0.00

time (sec)

N/A 0.117 0.568 3.009 0.217 0.307 0.000 0.318 0.000

Problem 649

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

108 108 97 92 180 115 236 149 107

N.S.

1 1.00 0.90 0.85 1.67 1.06 2.19 1.38 0.99

time (sec)

N/A 0.063 0.064 2.912 0.219 0.263 0.323 0.287 5.635

Problem 650

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

152 152 129 117 170 350 0 131 0

N.S.

1 1.00 0.85 0.77 1.12 2.30 0.00 0.86 0.00

time (sec)

N/A 0.082 0.363 2.984 0.208 0.285 0.000 0.308 0.000

Problem 651

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

73 73 65 61 115 79 155 92 75

N.S.

1 1.00 0.89 0.84 1.58 1.08 2.12 1.26 1.03

time (sec)

N/A 0.039 0.048 2.896 0.195 0.263 0.252 0.323 5.519

Problem 652

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

106 106 92 92 108 275 0 92 0

N.S.

1 1.00 0.87 0.87 1.02 2.59 0.00 0.87 0.00

time (sec)

N/A 0.039 0.146 2.950 0.211 0.279 0.000 0.323 0.000

Problem 653

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

75 75 75 86 90 232 102 82 76

N.S.

1 1.00 1.00 1.15 1.20 3.09 1.36 1.09 1.01

time (sec)

N/A 0.056 0.085 2.885 0.233 0.271 6.749 0.279 5.601

Problem 654

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

91 87 88 97 91 239 0 104 0

N.S.

1 0.96 0.97 1.07 1.00 2.63 0.00 1.14 0.00

time (sec)

N/A 0.045 0.132 3.010 0.226 0.273 0.000 0.306 0.000

Problem 655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

103 106 97 98 112 292 0 140 119

N.S.

1 1.03 0.94 0.95 1.09 2.83 0.00 1.36 1.16

time (sec)

N/A 0.077 0.203 2.914 0.202 0.284 0.000 0.275 5.850

Problem 656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 98 74 69 117 85 0 199 76

N.S.

1 1.01 0.76 0.71 1.21 0.88 0.00 2.05 0.78

time (sec)

N/A 0.051 0.117 2.943 0.200 0.273 0.000 0.298 5.440

Problem 657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 145 125 123 177 364 0 163 179

N.S.

1 1.00 0.86 0.85 1.22 2.51 0.00 1.12 1.23

time (sec)

N/A 0.123 0.289 2.958 0.206 0.281 0.000 0.297 5.935

Problem 658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 141 103 101 184 121 0 452 116

N.S.

1 1.00 0.73 0.72 1.30 0.86 0.00 3.21 0.82

time (sec)

N/A 0.081 0.155 2.914 0.199 0.290 0.000 0.307 5.847

Problem 659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

190 191 158 156 247 447 0 267 246

N.S.

1 1.01 0.83 0.82 1.30 2.35 0.00 1.41 1.29

time (sec)

N/A 0.151 0.274 2.986 0.206 0.283 0.000 0.288 6.328

Problem 660

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

202 202 163 147 296 522 0 190 0

N.S.

1 1.00 0.81 0.73 1.47 2.58 0.00 0.94 0.00

time (sec)

N/A 0.120 0.414 3.033 0.242 0.303 0.000 0.307 0.000

Problem 661

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

110 110 98 91 181 124 454 140 107

N.S.

1 1.00 0.89 0.83 1.65 1.13 4.13 1.27 0.97

time (sec)

N/A 0.066 0.061 2.928 0.214 0.284 0.419 0.291 5.632

Problem 662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 122 116 211 409 0 130 0

N.S.

1 1.00 1.01 0.96 1.74 3.38 0.00 1.07 0.00

time (sec)

N/A 0.076 0.396 3.012 0.207 0.283 0.000 0.308 0.000

Problem 663

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

72 72 67 60 114 91 303 79 76

N.S.

1 1.00 0.93 0.83 1.58 1.26 4.21 1.10 1.06

time (sec)

N/A 0.039 0.049 2.918 0.202 0.250 0.355 0.272 5.532

Problem 664

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

105 105 91 104 147 321 0 105 0

N.S.

1 1.00 0.87 0.99 1.40 3.06 0.00 1.00 0.00

time (sec)

N/A 0.037 0.170 2.932 0.205 0.261 0.000 0.317 0.000

Problem 665

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

88 88 87 97 108 316 119 102 90

N.S.

1 1.00 0.99 1.10 1.23 3.59 1.35 1.16 1.02

time (sec)

N/A 0.070 0.134 2.914 0.195 0.271 9.129 0.290 5.875

Problem 666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 90 76 70 132 92 0 117 77

N.S.

1 1.00 0.84 0.78 1.47 1.02 0.00 1.30 0.86

time (sec)

N/A 0.039 0.136 2.900 0.195 0.250 0.000 0.297 5.634

Problem 667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 134 120 119 146 426 0 128 147

N.S.

1 1.02 0.92 0.91 1.11 3.25 0.00 0.98 1.12

time (sec)

N/A 0.096 0.202 2.979 0.193 0.257 0.000 0.308 5.863

Problem 668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 130 107 99 175 130 0 258 187

N.S.

1 0.99 0.82 0.76 1.34 0.99 0.00 1.97 1.43

time (sec)

N/A 0.084 0.148 2.919 0.219 0.260 0.000 0.298 5.806

Problem 669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 185 159 154 231 537 0 210 216

N.S.

1 1.00 0.86 0.83 1.25 2.90 0.00 1.14 1.17

time (sec)

N/A 0.157 0.220 3.001 0.186 0.271 0.000 0.290 6.075

Problem 670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

183 183 142 131 244 171 0 509 298

N.S.

1 1.00 0.78 0.72 1.33 0.93 0.00 2.78 1.63

time (sec)

N/A 0.114 0.212 2.982 0.204 0.286 0.000 0.313 5.883

Problem 671

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

72 72 71 54 67 147 75 56 51

N.S.

1 1.00 0.99 0.75 0.93 2.04 1.04 0.78 0.71

time (sec)

N/A 0.018 0.068 3.040 0.308 0.246 1.423 0.273 5.231

Problem 672

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

52 52 60 38 49 126 54 40 37

N.S.

1 1.00 1.15 0.73 0.94 2.42 1.04 0.77 0.71

time (sec)

N/A 0.010 0.047 2.889 0.334 0.238 1.382 0.276 5.382

Problem 673

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

34 34 42 24 23 94 32 22 23

N.S.

1 1.00 1.24 0.71 0.68 2.76 0.94 0.65 0.68

time (sec)

N/A 0.006 0.022 2.889 0.345 0.246 0.997 0.302 5.318

Problem 674

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

50 50 63 36 35 132 49 43 38

N.S.

1 1.00 1.26 0.72 0.70 2.64 0.98 0.86 0.76

time (sec)

N/A 0.012 0.063 2.879 0.310 0.257 1.288 0.285 5.336

Problem 675

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

68 68 70 57 52 157 70 54 53

N.S.

1 1.00 1.03 0.84 0.76 2.31 1.03 0.79 0.78

time (sec)

N/A 0.016 0.075 2.968 0.319 0.255 1.138 0.296 5.336

Problem 676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 157 395 136 0 857 0 0 0

N.S.

1 1.00 2.52 0.87 0.00 5.46 0.00 0.00 0.00

time (sec)

N/A 0.169 1.905 3.025 0.000 0.368 0.000 0.000 0.000

Problem 677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 85 83 0 295 119 96 86

N.S.

1 1.00 0.97 0.94 0.00 3.35 1.35 1.09 0.98

time (sec)

N/A 0.082 0.117 3.174 0.000 0.276 2.451 0.281 5.265

Problem 678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 112 354 122 0 690 0 0 0

N.S.

1 1.00 3.16 1.09 0.00 6.16 0.00 0.00 0.00

time (sec)

N/A 0.075 1.431 3.011 0.000 0.320 0.000 0.000 0.000

Problem 679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 65 61 0 255 88 64 53

N.S.

1 1.00 1.00 0.94 0.00 3.92 1.35 0.98 0.82

time (sec)

N/A 0.043 0.077 2.964 0.000 0.271 1.852 0.288 5.264

Problem 680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

81 81 102 112 0 596 0 0 0

N.S.

1 1.00 1.26 1.38 0.00 7.36 0.00 0.00 0.00

time (sec)

N/A 0.031 0.174 2.927 0.000 0.285 0.000 0.000 0.000

Problem 681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 78 70 0 578 151 78 103

N.S.

1 1.00 0.98 0.88 0.00 7.22 1.89 0.98 1.29

time (sec)

N/A 0.066 0.072 2.942 0.000 0.307 3.651 0.293 5.355

Problem 682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 70 304 68 0 273 0 117 0

N.S.

1 1.00 4.34 0.97 0.00 3.90 0.00 1.67 0.00

time (sec)

N/A 0.036 0.972 2.963 0.000 0.251 0.000 0.805 0.000

Problem 683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 113 107 121 0 708 0 106 268

N.S.

1 1.00 0.95 1.07 0.00 6.27 0.00 0.94 2.37

time (sec)

N/A 0.091 0.255 3.037 0.000 0.324 0.000 0.291 5.603

Problem 684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 105 114 91 0 325 0 215 0

N.S.

1 1.00 1.09 0.87 0.00 3.10 0.00 2.05 0.00

time (sec)

N/A 0.087 0.226 2.977 0.000 0.296 0.000 1.060 0.000

Problem 685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

210 210 457 189 0 1119 0 0 0

N.S.

1 1.00 2.18 0.90 0.00 5.33 0.00 0.00 0.00

time (sec)

N/A 0.281 1.993 3.061 0.000 1.357 0.000 0.000 0.000

Problem 686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 109 117 0 397 143 151 179

N.S.

1 1.00 0.95 1.02 0.00 3.45 1.24 1.31 1.56

time (sec)

N/A 0.080 0.196 3.093 0.000 0.285 7.893 0.280 5.286

Problem 687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 158 401 133 0 894 0 0 0

N.S.

1 1.00 2.54 0.84 0.00 5.66 0.00 0.00 0.00

time (sec)

N/A 0.179 1.638 2.984 0.000 0.566 0.000 0.000 0.000

Problem 688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 91 82 94 0 303 116 112 98

N.S.

1 1.00 0.90 1.03 0.00 3.33 1.27 1.23 1.08

time (sec)

N/A 0.057 0.157 2.958 0.000 0.267 5.157 0.289 5.386

Problem 689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 113 129 117 0 721 0 0 0

N.S.

1 1.00 1.14 1.04 0.00 6.38 0.00 0.00 0.00

time (sec)

N/A 0.072 0.270 2.997 0.000 0.369 0.000 0.000 0.000

Problem 690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 96 103 103 0 682 172 110 711

N.S.

1 1.00 1.07 1.07 0.00 7.10 1.79 1.15 7.41

time (sec)

N/A 0.079 0.154 2.982 0.000 0.440 5.450 0.313 5.606

Problem 691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

102 102 129 114 0 718 0 0 0

N.S.

1 1.00 1.26 1.12 0.00 7.04 0.00 0.00 0.00

time (sec)

N/A 0.066 0.216 3.005 0.000 0.328 0.000 0.000 0.000

Problem 692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 114 108 117 0 732 0 120 560

N.S.

1 1.00 0.95 1.03 0.00 6.42 0.00 1.05 4.91

time (sec)

N/A 0.107 0.241 2.992 0.000 0.450 0.000 0.309 5.861

Problem 693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

102 102 343 104 0 331 0 256 0

N.S.

1 1.00 3.36 1.02 0.00 3.25 0.00 2.51 0.00

time (sec)

N/A 0.092 1.174 2.999 0.000 0.281 0.000 1.105 0.000

Problem 694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

291 291 519 259 0 1443 0 0 0

N.S.

1 1.00 1.78 0.89 0.00 4.96 0.00 0.00 0.00

time (sec)

N/A 0.413 2.606 3.115 0.000 4.535 0.000 0.000 0.000

Problem 695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 144 140 147 0 527 187 228 251

N.S.

1 1.00 0.97 1.02 0.00 3.66 1.30 1.58 1.74

time (sec)

N/A 0.110 0.188 3.045 0.000 0.292 12.496 0.295 5.290

Problem 696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

217 217 452 185 0 1161 0 0 0

N.S.

1 1.00 2.08 0.85 0.00 5.35 0.00 0.00 0.00

time (sec)

N/A 0.292 2.364 3.051 0.000 1.691 0.000 0.000 0.000

Problem 697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 119 116 123 0 405 156 184 137

N.S.

1 1.00 0.97 1.03 0.00 3.40 1.31 1.55 1.15

time (sec)

N/A 0.074 0.130 3.110 0.000 0.274 9.033 0.292 5.251

Problem 698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

156 156 160 135 0 931 0 0 0

N.S.

1 1.00 1.03 0.87 0.00 5.97 0.00 0.00 0.00

time (sec)

N/A 0.132 0.361 3.053 0.000 0.852 0.000 0.000 0.000

Problem 699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 124 114 122 0 837 201 163 2094

N.S.

1 1.00 0.92 0.98 0.00 6.75 1.62 1.31 16.89

time (sec)

N/A 0.126 0.151 3.019 0.000 0.851 8.975 0.283 5.611

Problem 700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 145 148 139 0 887 0 0 0

N.S.

1 1.00 1.02 0.96 0.00 6.12 0.00 0.00 0.00

time (sec)

N/A 0.133 0.306 3.079 0.000 0.613 0.000 0.000 0.000