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2.2.22 Integrals 2101 to 2200

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 2101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

264 157 172 202 488 311 0 897 0

N.S.

1 0.59 0.65 0.77 1.85 1.18 0.00 3.40 0.00

time (sec)

N/A 0.301 0.042 0.287 0.221 0.310 0.000 0.292 0.000

Problem 2102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

264 157 172 202 384 245 0 530 0

N.S.

1 0.59 0.65 0.77 1.45 0.93 0.00 2.01 0.00

time (sec)

N/A 0.303 0.036 0.286 0.203 0.436 0.000 0.273 0.000

Problem 2103

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

262 155 171 202 382 182 0 234 285

N.S.

1 0.59 0.65 0.77 1.46 0.69 0.00 0.89 1.09

time (sec)

N/A 0.301 0.036 0.274 0.217 0.396 0.000 0.282 11.518

Problem 2104

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

258 151 170 202 282 192 0 330 218

N.S.

1 0.59 0.66 0.78 1.09 0.74 0.00 1.28 0.84

time (sec)

N/A 0.305 0.036 0.289 0.203 0.408 0.000 0.273 11.593

Problem 2105

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

260 153 173 160 304 203 0 319 254

N.S.

1 0.59 0.67 0.62 1.17 0.78 0.00 1.23 0.98

time (sec)

N/A 0.293 0.042 0.309 0.220 0.377 0.000 0.275 11.793

Problem 2106

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

260 153 172 163 326 213 0 313 283

N.S.

1 0.59 0.66 0.63 1.25 0.82 0.00 1.20 1.09

time (sec)

N/A 0.297 0.039 0.312 0.231 0.432 0.000 0.285 11.786

Problem 2107

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

258 151 173 201 348 225 0 303 309

N.S.

1 0.59 0.67 0.78 1.35 0.87 0.00 1.17 1.20

time (sec)

N/A 0.297 0.108 0.310 0.228 0.640 0.000 0.284 11.893

Problem 2108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

262 155 172 202 371 235 0 299 333

N.S.

1 0.59 0.66 0.77 1.42 0.90 0.00 1.14 1.27

time (sec)

N/A 0.294 0.105 0.316 0.228 0.389 0.000 0.276 11.792

Problem 2109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

264 157 172 202 393 247 0 299 353

N.S.

1 0.59 0.65 0.77 1.49 0.94 0.00 1.13 1.34

time (sec)

N/A 0.304 0.117 0.292 0.242 0.328 0.000 0.302 11.802

Problem 2110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

374 213 309 393 1080 635 0 2210 0

N.S.

1 0.57 0.83 1.05 2.89 1.70 0.00 5.91 0.00

time (sec)

N/A 0.372 0.078 0.316 0.226 0.318 0.000 0.332 0.000

Problem 2111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

376 215 309 393 921 541 0 1523 0

N.S.

1 0.57 0.82 1.05 2.45 1.44 0.00 4.05 0.00

time (sec)

N/A 0.339 0.070 0.294 0.231 0.364 0.000 0.303 0.000

Problem 2112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

376 215 309 393 760 447 0 920 0

N.S.

1 0.57 0.82 1.05 2.02 1.19 0.00 2.45 0.00

time (sec)

N/A 0.346 0.064 0.298 0.210 0.343 0.000 0.287 0.000

Problem 2113

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

370 209 308 393 758 356 0 416 491

N.S.

1 0.56 0.83 1.06 2.05 0.96 0.00 1.12 1.33

time (sec)

N/A 0.345 0.062 0.250 0.206 0.300 0.000 0.283 11.829

Problem 2114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

368 207 307 393 603 365 0 647 396

N.S.

1 0.56 0.83 1.07 1.64 0.99 0.00 1.76 1.08

time (sec)

N/A 0.348 0.061 0.298 0.220 0.298 0.000 0.294 12.160

Problem 2115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

370 209 310 311 625 377 0 632 432

N.S.

1 0.56 0.84 0.84 1.69 1.02 0.00 1.71 1.17

time (sec)

N/A 0.353 0.067 0.308 0.235 0.350 0.000 0.293 12.222

Problem 2116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

368 207 309 280 647 388 0 625 455

N.S.

1 0.56 0.84 0.76 1.76 1.05 0.00 1.70 1.24

time (sec)

N/A 0.367 0.063 0.313 0.227 0.312 0.000 0.309 12.314

Problem 2117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

368 207 310 278 668 399 0 621 489

N.S.

1 0.56 0.84 0.76 1.82 1.08 0.00 1.69 1.33

time (sec)

N/A 0.354 0.168 0.316 0.237 0.339 0.000 0.305 12.344

Problem 2118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

370 209 309 308 687 409 0 616 508

N.S.

1 0.56 0.84 0.83 1.86 1.11 0.00 1.66 1.37

time (sec)

N/A 0.354 0.164 0.330 0.235 0.319 0.000 0.287 12.376

Problem 2119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

368 207 309 380 712 421 0 606 532

N.S.

1 0.56 0.84 1.03 1.93 1.14 0.00 1.65 1.45

time (sec)

N/A 0.348 0.170 0.326 0.237 0.307 0.000 0.290 12.424

Problem 2120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

370 209 309 393 735 431 0 602 561

N.S.

1 0.56 0.84 1.06 1.99 1.16 0.00 1.63 1.52

time (sec)

N/A 0.338 0.176 0.302 0.256 0.369 0.000 0.296 12.459

Problem 2121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

376 215 309 393 757 443 0 602 588

N.S.

1 0.57 0.82 1.05 2.01 1.18 0.00 1.60 1.56

time (sec)

N/A 0.347 0.202 0.320 0.261 0.418 0.000 0.299 12.519

Problem 2122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 32 27 50 50 0 212 0

N.S.

1 1.00 0.78 0.66 1.22 1.22 0.00 5.17 0.00

time (sec)

N/A 0.180 0.025 0.273 0.240 0.407 0.000 0.272 0.000

Problem 2123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 32 27 39 39 0 145 0

N.S.

1 1.00 0.78 0.66 0.95 0.95 0.00 3.54 0.00

time (sec)

N/A 0.182 0.016 0.266 0.261 0.424 0.000 0.278 0.000

Problem 2124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 32 27 28 28 0 90 0

N.S.

1 1.00 0.78 0.66 0.68 0.68 0.00 2.20 0.00

time (sec)

N/A 0.176 0.014 0.270 0.243 0.649 0.000 0.261 0.000

Problem 2125

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

41 41 32 27 12 12 0 47 0

N.S.

1 1.00 0.78 0.66 0.29 0.29 0.00 1.15 0.00

time (sec)

N/A 0.175 0.009 0.270 0.243 0.309 0.000 0.271 0.000

Problem 2126

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

39 39 30 27 12 12 0 18 50

N.S.

1 1.00 0.77 0.69 0.31 0.31 0.00 0.46 1.28

time (sec)

N/A 0.172 0.009 0.270 0.236 0.338 0.000 0.266 11.386

Problem 2127

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

39 39 30 27 20 20 0 18 41

N.S.

1 1.00 0.77 0.69 0.51 0.51 0.00 0.46 1.05

time (sec)

N/A 0.177 0.009 0.268 0.267 0.290 0.000 0.265 11.496

Problem 2128

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

41 41 32 27 31 31 0 18 75

N.S.

1 1.00 0.78 0.66 0.76 0.76 0.00 0.44 1.83

time (sec)

N/A 0.173 0.011 0.293 0.241 0.303 0.000 0.273 11.355

Problem 2129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 32 27 42 42 0 18 103

N.S.

1 1.00 0.78 0.66 1.02 1.02 0.00 0.44 2.51

time (sec)

N/A 0.174 0.012 0.271 0.238 0.318 0.000 0.275 11.379

Problem 2130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

250 176 180 203 0 486 0 294 0

N.S.

1 0.70 0.72 0.81 0.00 1.94 0.00 1.18 0.00

time (sec)

N/A 0.296 0.099 0.329 0.000 0.310 0.000 0.274 0.000

Problem 2131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

198 147 138 152 0 330 0 205 0

N.S.

1 0.74 0.70 0.77 0.00 1.67 0.00 1.04 0.00

time (sec)

N/A 0.270 0.066 0.325 0.000 0.304 0.000 0.271 0.000

Problem 2132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

148 118 95 125 0 210 0 137 0

N.S.

1 0.80 0.64 0.84 0.00 1.42 0.00 0.93 0.00

time (sec)

N/A 0.259 0.046 0.329 0.000 0.310 0.000 0.280 0.000

Problem 2133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 96 81 108 0 232 0 88 0

N.S.

1 0.89 0.75 1.00 0.00 2.15 0.00 0.81 0.00

time (sec)

N/A 0.233 0.036 0.293 0.000 0.308 0.000 0.263 0.000

Problem 2134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 102 85 112 0 280 0 111 0

N.S.

1 0.89 0.75 0.98 0.00 2.46 0.00 0.97 0.00

time (sec)

N/A 0.259 0.061 0.298 0.000 0.317 0.000 0.283 0.000

Problem 2135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

162 139 111 167 0 423 0 179 0

N.S.

1 0.86 0.69 1.03 0.00 2.61 0.00 1.10 0.00

time (sec)

N/A 0.283 0.057 0.309 0.000 0.377 0.000 0.283 0.000

Problem 2136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

212 175 144 242 0 782 0 288 0

N.S.

1 0.83 0.68 1.14 0.00 3.69 0.00 1.36 0.00

time (sec)

N/A 0.305 0.121 0.336 0.000 0.334 0.000 0.280 0.000

Problem 2137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

264 211 186 343 0 1218 0 388 0

N.S.

1 0.80 0.70 1.30 0.00 4.61 0.00 1.47 0.00

time (sec)

N/A 0.322 0.182 0.315 0.000 0.372 0.000 0.292 0.000

Problem 2138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

241 182 173 183 0 498 0 269 0

N.S.

1 0.76 0.72 0.76 0.00 2.07 0.00 1.12 0.00

time (sec)

N/A 0.294 0.104 0.360 0.000 0.403 0.000 0.284 0.000

Problem 2139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

197 160 140 316 0 563 0 177 0

N.S.

1 0.81 0.71 1.60 0.00 2.86 0.00 0.90 0.00

time (sec)

N/A 0.272 0.086 0.310 0.000 0.420 0.000 0.292 0.000

Problem 2140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

207 166 149 326 0 666 0 209 0

N.S.

1 0.80 0.72 1.57 0.00 3.22 0.00 1.01 0.00

time (sec)

N/A 0.283 0.097 0.309 0.000 0.377 0.000 0.287 0.000

Problem 2141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

217 180 151 326 0 785 0 243 0

N.S.

1 0.83 0.70 1.50 0.00 3.62 0.00 1.12 0.00

time (sec)

N/A 0.292 0.113 0.306 0.000 0.458 0.000 0.278 0.000

Problem 2142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

225 194 146 334 0 884 0 279 0

N.S.

1 0.86 0.65 1.48 0.00 3.93 0.00 1.24 0.00

time (sec)

N/A 0.304 0.114 0.300 0.000 0.755 0.000 0.265 0.000

Problem 2143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

276 231 191 431 0 1204 0 416 0

N.S.

1 0.84 0.69 1.56 0.00 4.36 0.00 1.51 0.00

time (sec)

N/A 0.338 0.119 0.286 0.000 0.350 0.000 0.281 0.000

Problem 2144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

328 267 239 563 0 1840 0 504 0

N.S.

1 0.81 0.73 1.72 0.00 5.61 0.00 1.54 0.00

time (sec)

N/A 0.352 0.287 0.312 0.000 0.436 0.000 0.292 0.000

Problem 2145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

382 303 303 722 0 2550 0 606 0

N.S.

1 0.79 0.79 1.89 0.00 6.68 0.00 1.59 0.00

time (sec)

N/A 0.367 0.372 0.314 0.000 0.546 0.000 0.296 0.000

Problem 2146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

239 239 203 2380 1108 3201 45812 5641 2653

N.S.

1 1.00 0.85 9.96 4.64 13.39 191.68 23.60 11.10

time (sec)

N/A 0.419 0.222 0.483 0.229 0.433 9.998 0.305 12.700

Problem 2147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

175 175 149 1146 581 1460 16487 2525 1291

N.S.

1 1.00 0.85 6.55 3.32 8.34 94.21 14.43 7.38

time (sec)

N/A 0.338 0.096 0.385 0.206 0.402 3.224 0.272 11.769

Problem 2148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 95 386 246 496 4058 833 478

N.S.

1 1.00 0.86 3.48 2.22 4.47 36.56 7.50 4.31

time (sec)

N/A 0.265 0.049 0.288 0.218 0.309 0.975 0.282 11.351

Problem 2149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

51 51 51 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.191 0.012 0.000 0.000 0.000 0.000 0.000 0.000

Problem 2150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

54 54 54 0 0 0 0 0 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.198 0.014 0.000 0.000 0.000 0.000 0.000 0.000

Problem 2151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

395 234 193 2173 1864 2230 0 4886 0

N.S.

1 0.59 0.49 5.50 4.72 5.65 0.00 12.37 0.00

time (sec)

N/A 0.399 0.128 0.408 0.221 0.482 0.000 0.366 0.000

Problem 2152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

277 170 139 784 756 901 0 1948 0

N.S.

1 0.61 0.50 2.83 2.73 3.25 0.00 7.03 0.00

time (sec)

N/A 0.324 0.114 0.305 0.211 0.394 0.000 0.318 0.000

Problem 2153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 106 113 175 177 237 0 505 0

N.S.

1 0.67 0.71 1.10 1.11 1.49 0.00 3.18 0.00

time (sec)

N/A 0.263 0.061 0.309 0.201 0.419 0.000 0.272 0.000

Problem 2154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 34 33 21 20 0 0 0

N.S.

1 1.00 0.79 0.77 0.49 0.47 0.00 0.00 0.00

time (sec)

N/A 0.179 0.013 0.309 0.228 0.373 0.000 0.000 0.000

Problem 2155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

76 76 68 0 0 0 0 0 0

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.204 0.021 0.000 0.000 0.000 0.000 0.000 0.000

Problem 2156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

78 78 70 0 0 0 0 0 0

N.S.

1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.213 0.024 0.000 0.000 0.000 0.000 0.000 0.000

Problem 2157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 42 59 0 99 0 291 178

N.S.

1 1.00 0.82 1.16 0.00 1.94 0.00 5.71 3.49

time (sec)

N/A 0.187 0.062 0.810 0.000 0.318 0.000 0.284 11.280

Problem 2158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

183 178 104 407 679 715 0 1821 683

N.S.

1 0.97 0.57 2.22 3.71 3.91 0.00 9.95 3.73

time (sec)

N/A 0.340 0.098 0.392 0.215 0.330 0.000 0.276 11.571

Problem 2159

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

134 139 109 179 404 353 0 903 355

N.S.

1 1.04 0.81 1.34 3.01 2.63 0.00 6.74 2.65

time (sec)

N/A 0.294 0.085 0.338 0.236 0.341 0.000 0.275 11.320

Problem 2160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 98 51 67 206 142 0 347 142

N.S.

1 1.18 0.61 0.81 2.48 1.71 0.00 4.18 1.71

time (sec)

N/A 0.246 0.055 0.319 0.216 0.292 0.000 0.273 11.217

Problem 2161

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

32 32 23 36 30 43 119 30 53

N.S.

1 1.00 0.72 1.12 0.94 1.34 3.72 0.94 1.66

time (sec)

N/A 0.157 0.003 0.306 0.189 0.293 0.228 0.256 11.102

Problem 2162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

74 89 59 0 0 0 0 0 0

N.S.

1 1.20 0.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.213 0.063 0.000 0.000 0.000 0.000 0.000 0.000

Problem 2163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 62 48 71 2113 350 1488 695 319

N.S.

1 1.07 0.83 1.22 36.43 6.03 25.66 11.98 5.50

time (sec)

N/A 0.229 0.070 0.435 0.287 0.380 1.698 0.284 11.585

Problem 2164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 68 48 54 216 212 1268 0 113

N.S.

1 1.06 0.75 0.84 3.38 3.31 19.81 0.00 1.77

time (sec)

N/A 0.230 0.066 0.445 0.233 0.405 2.012 0.000 11.217

Problem 2165

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

112 89 59 62 180 219 0 545 254

N.S.

1 0.79 0.53 0.55 1.61 1.96 0.00 4.87 2.27

time (sec)

N/A 0.251 0.081 0.332 0.202 0.399 0.000 0.277 11.386

Problem 2166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

112 93 55 62 117 113 0 0 105

N.S.

1 0.83 0.49 0.55 1.04 1.01 0.00 0.00 0.94

time (sec)

N/A 0.262 0.077 0.306 0.215 0.639 0.000 0.000 11.352

Problem 2167

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

100 101 67 96 128 155 0 404 178

N.S.

1 1.01 0.67 0.96 1.28 1.55 0.00 4.04 1.78

time (sec)

N/A 0.259 0.072 0.425 0.206 0.376 0.000 0.273 11.205

Problem 2168

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

61 61 49 55 101 52 233 221 106

N.S.

1 1.00 0.80 0.90 1.66 0.85 3.82 3.62 1.74

time (sec)

N/A 0.202 0.068 0.404 0.203 0.297 0.484 0.274 11.176

Problem 2169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 45 32 48 127 60 0 100 90

N.S.

1 1.00 0.71 1.07 2.82 1.33 0.00 2.22 2.00

time (sec)

N/A 0.182 0.008 0.390 0.205 0.310 0.000 0.268 11.178

Problem 2170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 25 45 1221 102 270 183 139

N.S.

1 1.00 1.04 1.88 50.88 4.25 11.25 7.62 5.79

time (sec)

N/A 0.173 0.006 0.420 0.250 0.347 0.986 0.275 11.044

Problem 2171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 25 26 216 101 136 0 61

N.S.

1 1.00 0.93 0.96 8.00 3.74 5.04 0.00 2.26

time (sec)

N/A 0.170 0.005 0.369 0.217 0.298 1.423 0.000 11.006

Problem 2172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

414 378 448 2486 0 1469 2919 755 3311

N.S.

1 0.91 1.08 6.00 0.00 3.55 7.05 1.82 8.00

time (sec)

N/A 0.668 0.905 1.226 0.000 1.012 1.443 0.341 17.204

Problem 2173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

339 313 349 1379 0 1117 1608 568 1732

N.S.

1 0.92 1.03 4.07 0.00 3.29 4.74 1.68 5.11

time (sec)

N/A 0.551 0.760 0.878 0.000 0.679 1.372 0.325 14.499

Problem 2174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 215 269 724 0 825 952 409 801

N.S.

1 0.96 1.21 3.25 0.00 3.70 4.27 1.83 3.59

time (sec)

N/A 0.389 0.528 0.631 0.000 0.572 1.754 0.309 13.069

Problem 2175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

192 148 181 292 0 395 0 178 0

N.S.

1 0.77 0.94 1.52 0.00 2.06 0.00 0.93 0.00

time (sec)

N/A 0.384 0.533 0.526 0.000 0.540 0.000 0.314 0.000

Problem 2176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 176 129 371 0 399 0 294 0

N.S.

1 0.88 0.64 1.86 0.00 2.00 0.00 1.47 0.00

time (sec)

N/A 0.427 0.280 0.757 0.000 1.010 0.000 0.383 0.000

Problem 2177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 186 160 299 0 579 0 517 0

N.S.

1 1.11 0.95 1.78 0.00 3.45 0.00 3.08 0.00

time (sec)

N/A 0.434 0.250 1.023 0.000 1.824 0.000 1.293 0.000

Problem 2178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 154 102 128 0 307 0 0 1022

N.S.

1 1.12 0.74 0.93 0.00 2.24 0.00 0.00 7.46

time (sec)

N/A 0.383 0.145 1.450 0.000 4.524 0.000 0.000 13.149

Problem 2179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

210 236 166 236 0 540 0 1664 2325

N.S.

1 1.12 0.79 1.12 0.00 2.57 0.00 7.92 11.07

time (sec)

N/A 0.478 0.177 2.053 0.000 33.686 0.000 0.334 15.722

Problem 2180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

285 317 244 382 0 817 0 0 4962

N.S.

1 1.11 0.86 1.34 0.00 2.87 0.00 0.00 17.41

time (sec)

N/A 0.586 0.237 2.835 0.000 130.122 0.000 0.000 22.970

Problem 2181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

360 394 347 564 0 1162 0 0 10084

N.S.

1 1.09 0.96 1.57 0.00 3.23 0.00 0.00 28.01

time (sec)

N/A 0.714 0.304 4.178 0.000 295.558 0.000 0.000 37.049

Problem 2182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

439 476 466 782 0 0 0 0 19572

N.S.

1 1.08 1.06 1.78 0.00 0.00 0.00 0.00 44.58

time (sec)

N/A 0.842 0.395 5.758 0.000 0.000 0.000 0.000 64.704

Problem 2183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

488 441 733 3518 0 2337 9527 1229 0

N.S.

1 0.90 1.50 7.21 0.00 4.79 19.52 2.52 0.00

time (sec)

N/A 0.719 2.142 1.261 0.000 4.312 1.537 0.383 0.000

Problem 2184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

413 376 592 1981 0 1877 5834 983 0

N.S.

1 0.91 1.43 4.80 0.00 4.54 14.13 2.38 0.00

time (sec)

N/A 0.637 1.669 0.882 0.000 2.205 1.419 0.387 0.000

Problem 2185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

297 278 473 1068 0 1473 3228 765 0

N.S.

1 0.94 1.59 3.60 0.00 4.96 10.87 2.58 0.00

time (sec)

N/A 0.475 1.257 0.664 0.000 1.043 1.829 0.387 0.000

Problem 2186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 215 292 474 0 809 1958 408 0

N.S.

1 0.81 1.10 1.78 0.00 3.04 7.36 1.53 0.00

time (sec)

N/A 0.466 0.679 0.585 0.000 0.434 2.801 0.342 0.000

Problem 2187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

278 262 220 563 0 567 0 1297 0

N.S.

1 0.94 0.79 2.03 0.00 2.04 0.00 4.67 0.00

time (sec)

N/A 0.457 0.492 0.743 0.000 0.420 0.000 0.626 0.000

Problem 2188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

271 258 217 731 0 635 0 405 0

N.S.

1 0.95 0.80 2.70 0.00 2.34 0.00 1.49 0.00

time (sec)

N/A 0.497 0.909 1.072 0.000 0.909 0.000 0.449 0.000

Problem 2189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

276 260 187 899 0 593 0 582 0

N.S.

1 0.94 0.68 3.26 0.00 2.15 0.00 2.11 0.00

time (sec)

N/A 0.516 0.371 1.519 0.000 1.736 0.000 1.895 0.000

Problem 2190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

214 221 237 563 0 879 0 1592 0

N.S.

1 1.03 1.11 2.63 0.00 4.11 0.00 7.44 0.00

time (sec)

N/A 0.471 0.448 2.255 0.000 6.605 0.000 0.385 0.000

Problem 2191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

138 137 104 128 0 464 0 0 3763

N.S.

1 0.99 0.75 0.93 0.00 3.36 0.00 0.00 27.27

time (sec)

N/A 0.340 0.187 2.912 0.000 34.987 0.000 0.000 18.640

Problem 2192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

210 213 168 236 0 739 0 0 8039

N.S.

1 1.01 0.80 1.12 0.00 3.52 0.00 0.00 38.28

time (sec)

N/A 0.438 0.223 4.161 0.000 147.530 0.000 0.000 29.106

Problem 2193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

285 286 249 382 0 0 0 0 16485

N.S.

1 1.00 0.87 1.34 0.00 0.00 0.00 0.00 57.84

time (sec)

N/A 0.514 0.302 5.832 0.000 0.000 0.000 0.000 50.884

Problem 2194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

360 359 349 564 0 0 0 0 33375

N.S.

1 1.00 0.97 1.57 0.00 0.00 0.00 0.00 92.71

time (sec)

N/A 0.589 0.402 7.499 0.000 0.000 0.000 0.000 92.663

Problem 2195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

562 504 933 4550 0 3437 29237 1818 0

N.S.

1 0.90 1.66 8.10 0.00 6.12 52.02 3.23 0.00

time (sec)

N/A 0.842 4.519 1.278 0.000 19.066 1.721 0.462 0.000

Problem 2196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

487 439 847 2583 0 2861 18144 1512 0

N.S.

1 0.90 1.74 5.30 0.00 5.87 37.26 3.10 0.00

time (sec)

N/A 0.732 4.224 0.908 0.000 7.916 1.627 0.426 0.000

Problem 2197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

371 341 733 1412 0 2345 11123 1234 0

N.S.

1 0.92 1.98 3.81 0.00 6.32 29.98 3.33 0.00

time (sec)

N/A 0.554 2.716 0.671 0.000 3.948 2.059 0.385 0.000

Problem 2198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

346 280 471 654 0 1457 7917 758 0

N.S.

1 0.81 1.36 1.89 0.00 4.21 22.88 2.19 0.00

time (sec)

N/A 0.567 1.529 0.582 0.000 1.570 7.420 0.367 0.000

Problem 2199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

354 330 376 751 1751 1097 4675 3630 0

N.S.

1 0.93 1.06 2.12 4.95 3.10 13.21 10.25 0.00

time (sec)

N/A 0.581 1.076 0.751 0.327 0.912 9.308 1.278 0.000

Problem 2200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

354 327 292 919 0 813 0 410 0

N.S.

1 0.92 0.82 2.60 0.00 2.30 0.00 1.16 0.00

time (sec)

N/A 0.602 0.893 1.049 0.000 0.848 0.000 0.379 0.000

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