2.2.17 Integrals 1601 to 1700

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 1601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

165 108 92 156 0 242 0 221 0

N.S.

1 0.65 0.56 0.95 0.00 1.47 0.00 1.34 0.00

time (sec)

N/A 0.275 1.041 2.858 0.000 0.257 0.000 0.267 0.000

Problem 1602

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

217 135 141 330 0 494 0 321 0

N.S.

1 0.62 0.65 1.52 0.00 2.28 0.00 1.48 0.00

time (sec)

N/A 0.317 1.064 2.488 0.000 0.252 0.000 0.284 0.000

Problem 1603

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

276 169 163 508 0 760 0 447 0

N.S.

1 0.61 0.59 1.84 0.00 2.75 0.00 1.62 0.00

time (sec)

N/A 0.355 1.064 2.610 0.000 0.285 0.000 0.280 0.000

Problem 1604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

302 180 313 379 576 572 0 389 0

N.S.

1 0.60 1.04 1.25 1.91 1.89 0.00 1.29 0.00

time (sec)

N/A 0.419 1.098 2.851 0.251 0.272 0.000 0.268 0.000

Problem 1605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

253 156 242 291 443 412 0 281 0

N.S.

1 0.62 0.96 1.15 1.75 1.63 0.00 1.11 0.00

time (sec)

N/A 0.365 1.081 2.873 0.229 0.280 0.000 0.283 0.000

Problem 1606

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

209 137 138 202 323 267 0 200 0

N.S.

1 0.66 0.66 0.97 1.55 1.28 0.00 0.96 0.00

time (sec)

N/A 0.316 1.057 2.833 0.217 0.256 0.000 0.270 0.000

Problem 1607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

48 48 106 113 238 143 0 119 254

N.S.

1 1.00 2.21 2.35 4.96 2.98 0.00 2.48 5.29

time (sec)

N/A 0.183 1.036 2.510 0.256 0.260 0.000 0.275 10.093

Problem 1608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 91 417 69 115 98 0 69 79

N.S.

1 0.73 3.34 0.55 0.92 0.78 0.00 0.55 0.63

time (sec)

N/A 0.251 1.303 2.461 0.206 0.258 0.000 0.258 9.628

Problem 1609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 345 33 56 61 0 33 43

N.S.

1 1.00 4.86 0.46 0.79 0.86 0.00 0.46 0.61

time (sec)

N/A 0.196 0.927 2.758 0.205 0.281 0.000 0.265 9.570

Problem 1610

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

34 34 23 20 14 46 0 20 30

N.S.

1 1.00 0.68 0.59 0.41 1.35 0.00 0.59 0.88

time (sec)

N/A 0.154 0.007 2.371 0.204 0.294 0.000 0.288 9.529

Problem 1611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

253 156 163 359 0 657 0 418 0

N.S.

1 0.62 0.64 1.42 0.00 2.60 0.00 1.65 0.00

time (sec)

N/A 0.336 1.080 2.645 0.000 0.290 0.000 0.281 0.000

Problem 1612

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

307 185 167 651 0 1083 0 546 0

N.S.

1 0.60 0.54 2.12 0.00 3.53 0.00 1.78 0.00

time (sec)

N/A 0.396 1.073 2.533 0.000 0.320 0.000 0.272 0.000

Problem 1613

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

365 218 209 983 0 1565 0 683 0

N.S.

1 0.60 0.57 2.69 0.00 4.29 0.00 1.87 0.00

time (sec)

N/A 0.447 1.091 2.596 0.000 0.444 0.000 0.284 0.000

Problem 1614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 52 34 86 78 69 92 158 0

N.S.

1 1.04 0.68 1.72 1.56 1.38 1.84 3.16 0.00

time (sec)

N/A 0.178 0.451 2.175 0.296 0.372 0.688 0.268 0.000

Problem 1615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 52 33 62 78 44 66 110 67

N.S.

1 1.04 0.66 1.24 1.56 0.88 1.32 2.20 1.34

time (sec)

N/A 0.175 0.355 2.168 0.297 0.356 0.608 0.274 9.601

Problem 1616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A A A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

50 50 38 27 78 23 37 61 30

N.S.

1 1.00 0.76 0.54 1.56 0.46 0.74 1.22 0.60

time (sec)

N/A 0.176 0.124 2.097 0.293 0.364 0.544 0.273 9.638

Problem 1617

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

56 56 41 26 30 20 46 37 46

N.S.

1 1.00 0.73 0.46 0.54 0.36 0.82 0.66 0.82

time (sec)

N/A 0.176 0.148 2.327 0.287 0.547 0.545 0.277 10.485

Problem 1618

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

52 52 38 28 36 25 0 28 32

N.S.

1 1.00 0.73 0.54 0.69 0.48 0.00 0.54 0.62

time (sec)

N/A 0.180 0.167 2.513 0.289 0.261 0.000 0.282 0.090

Problem 1619

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

52 52 34 28 36 35 0 28 32

N.S.

1 1.00 0.65 0.54 0.69 0.67 0.00 0.54 0.62

time (sec)

N/A 0.174 0.290 2.148 0.316 0.282 0.000 0.286 0.093

Problem 1620

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

52 52 34 28 36 45 0 28 32

N.S.

1 1.00 0.65 0.54 0.69 0.87 0.00 0.54 0.62

time (sec)

N/A 0.174 0.327 2.210 0.283 0.257 0.000 0.272 9.543

Problem 1621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 61 54 68 212 432 791 68

N.S.

1 1.00 0.86 0.76 0.96 2.99 6.08 11.14 0.96

time (sec)

N/A 0.215 0.051 2.138 0.199 0.294 0.561 0.279 0.091

Problem 1622

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 61 54 68 174 355 558 68

N.S.

1 1.00 0.86 0.76 0.96 2.45 5.00 7.86 0.96

time (sec)

N/A 0.218 0.046 2.082 0.198 0.289 0.368 0.287 0.056

Problem 1623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 61 54 68 137 110 360 68

N.S.

1 1.00 0.86 0.76 0.96 1.93 1.55 5.07 0.96

time (sec)

N/A 0.214 0.048 2.068 0.200 0.288 0.844 0.286 9.578

Problem 1624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 61 54 68 99 110 200 68

N.S.

1 1.00 0.86 0.76 0.96 1.39 1.55 2.82 0.96

time (sec)

N/A 0.210 0.040 2.010 0.202 0.368 0.790 0.272 9.560

Problem 1625

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

69 69 60 54 82 64 110 82 68

N.S.

1 1.00 0.87 0.78 1.19 0.93 1.59 1.19 0.99

time (sec)

N/A 0.200 0.039 2.025 0.196 0.346 0.616 0.271 0.054

Problem 1626

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

67 67 59 55 75 73 94 84 67

N.S.

1 1.00 0.88 0.82 1.12 1.09 1.40 1.25 1.00

time (sec)

N/A 0.207 0.044 2.329 0.201 0.336 1.348 0.286 9.552

Problem 1627

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

67 67 62 50 72 85 265 72 68

N.S.

1 1.00 0.93 0.75 1.07 1.27 3.96 1.07 1.01

time (sec)

N/A 0.204 0.047 2.293 0.204 0.345 0.346 0.267 0.054

Problem 1628

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

69 69 61 56 65 95 389 68 62

N.S.

1 1.00 0.88 0.81 0.94 1.38 5.64 0.99 0.90

time (sec)

N/A 0.201 0.049 2.039 0.203 0.613 0.497 0.270 9.548

Problem 1629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 154 143 181 444 903 1661 112

N.S.

1 1.00 1.19 1.11 1.40 3.44 7.00 12.88 0.87

time (sec)

N/A 0.283 0.098 2.368 0.198 0.274 0.753 0.297 0.061

Problem 1630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 154 144 181 377 272 1204 112

N.S.

1 1.00 1.19 1.12 1.40 2.92 2.11 9.33 0.87

time (sec)

N/A 0.271 0.095 2.267 0.206 0.265 1.267 0.306 9.505

Problem 1631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 154 143 181 311 272 807 112

N.S.

1 1.00 1.19 1.11 1.40 2.41 2.11 6.26 0.87

time (sec)

N/A 0.270 0.089 2.242 0.193 0.276 1.145 0.316 0.041

Problem 1632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 154 143 181 245 272 470 112

N.S.

1 1.00 1.19 1.11 1.40 1.90 2.11 3.64 0.87

time (sec)

N/A 0.261 0.082 2.284 0.193 0.263 1.033 0.294 0.041

Problem 1633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

127 127 153 143 247 182 270 204 112

N.S.

1 1.00 1.20 1.13 1.94 1.43 2.13 1.61 0.88

time (sec)

N/A 0.265 0.083 2.293 0.203 0.273 1.014 0.268 0.041

Problem 1634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 123 151 145 189 192 224 240 153

N.S.

1 1.00 1.23 1.18 1.54 1.56 1.82 1.95 1.24

time (sec)

N/A 0.270 0.081 2.462 0.223 0.270 3.748 0.281 9.590

Problem 1635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 125 153 128 187 203 190 229 175

N.S.

1 1.00 1.22 1.02 1.50 1.62 1.52 1.83 1.40

time (sec)

N/A 0.265 0.089 2.763 0.206 0.270 3.783 0.283 0.073

Problem 1636

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

125 125 154 131 189 213 1008 223 185

N.S.

1 1.00 1.23 1.05 1.51 1.70 8.06 1.78 1.48

time (sec)

N/A 0.266 0.087 2.328 0.194 0.302 0.555 0.291 9.555

Problem 1637

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

187 187 291 276 350 729 495 2771 162

N.S.

1 1.00 1.56 1.48 1.87 3.90 2.65 14.82 0.87

time (sec)

N/A 0.344 0.182 2.388 0.197 0.381 1.686 0.328 9.592

Problem 1638

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

185 185 291 276 350 635 495 2042 162

N.S.

1 1.00 1.57 1.49 1.89 3.43 2.68 11.04 0.88

time (sec)

N/A 0.321 0.175 2.438 0.221 0.377 1.578 0.306 0.055

Problem 1639

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

187 187 291 276 350 541 495 1397 162

N.S.

1 1.00 1.56 1.48 1.87 2.89 2.65 7.47 0.87

time (sec)

N/A 0.317 0.152 2.310 0.199 0.391 1.370 0.288 9.533

Problem 1640

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

187 187 291 276 350 447 495 836 162

N.S.

1 1.00 1.56 1.48 1.87 2.39 2.65 4.47 0.87

time (sec)

N/A 0.307 0.139 2.302 0.201 0.369 1.284 0.268 9.521

Problem 1641

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

181 181 290 275 540 356 493 374 162

N.S.

1 1.00 1.60 1.52 2.98 1.97 2.72 2.07 0.90

time (sec)

N/A 0.312 0.129 2.363 0.218 0.338 1.230 0.282 10.081

Problem 1642

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

179 179 288 278 358 365 416 479 231

N.S.

1 1.00 1.61 1.55 2.00 2.04 2.32 2.68 1.29

time (sec)

N/A 0.316 0.133 2.357 0.211 0.284 10.169 0.284 10.222

Problem 1643

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

181 181 290 276 356 377 352 464 281

N.S.

1 1.00 1.60 1.52 1.97 2.08 1.94 2.56 1.55

time (sec)

N/A 0.309 0.137 2.630 0.225 0.274 10.372 0.291 9.794

Problem 1644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 291 248 356 388 301 457 322

N.S.

1 1.00 1.63 1.39 1.99 2.17 1.68 2.55 1.80

time (sec)

N/A 0.308 0.136 2.532 0.218 0.283 10.436 0.281 0.067

Problem 1645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

162 179 208 217 0 678 0 375 352

N.S.

1 1.10 1.28 1.34 0.00 4.19 0.00 2.31 2.17

time (sec)

N/A 0.309 0.408 2.567 0.000 0.340 0.000 0.274 9.450

Problem 1646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 150 158 167 0 486 0 270 235

N.S.

1 1.09 1.15 1.22 0.00 3.55 0.00 1.97 1.72

time (sec)

N/A 0.270 0.340 2.353 0.000 0.285 0.000 0.275 9.414

Problem 1647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 121 116 120 0 330 0 181 161

N.S.

1 1.10 1.05 1.09 0.00 3.00 0.00 1.65 1.46

time (sec)

N/A 0.247 0.280 2.439 0.000 0.283 0.000 0.283 9.409

Problem 1648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

85 92 83 93 0 210 0 113 109

N.S.

1 1.08 0.98 1.09 0.00 2.47 0.00 1.33 1.28

time (sec)

N/A 0.222 0.231 2.367 0.000 0.410 0.000 0.272 0.104

Problem 1649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 70 69 58 0 232 0 72 61

N.S.

1 1.00 0.99 0.83 0.00 3.31 0.00 1.03 0.87

time (sec)

N/A 0.200 0.174 2.248 0.000 0.473 0.000 0.317 9.377

Problem 1650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 75 64 0 280 0 87 74

N.S.

1 1.00 0.99 0.84 0.00 3.68 0.00 1.14 0.97

time (sec)

N/A 0.221 0.159 2.267 0.000 0.381 0.000 0.279 0.073

Problem 1651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 113 90 78 0 423 0 143 123

N.S.

1 1.14 0.91 0.79 0.00 4.27 0.00 1.44 1.24

time (sec)

N/A 0.235 0.277 2.537 0.000 0.387 0.000 0.295 0.159

Problem 1652

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

124 149 125 121 0 782 0 216 161

N.S.

1 1.20 1.01 0.98 0.00 6.31 0.00 1.74 1.30

time (sec)

N/A 0.258 0.287 2.688 0.000 0.693 0.000 0.278 9.494

Problem 1653

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

151 185 166 144 0 1218 0 298 198

N.S.

1 1.23 1.10 0.95 0.00 8.07 0.00 1.97 1.31

time (sec)

N/A 0.282 0.315 2.348 0.000 0.338 0.000 0.278 9.518

Problem 1654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

201 214 277 229 0 994 0 490 495

N.S.

1 1.06 1.38 1.14 0.00 4.95 0.00 2.44 2.46

time (sec)

N/A 0.302 0.967 2.551 0.000 0.387 0.000 0.290 9.491

Problem 1655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

172 185 208 178 0 730 0 358 388

N.S.

1 1.08 1.21 1.03 0.00 4.24 0.00 2.08 2.26

time (sec)

N/A 0.282 0.818 2.676 0.000 0.305 0.000 0.265 9.494

Problem 1656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 156 160 151 0 498 0 245 303

N.S.

1 1.08 1.10 1.04 0.00 3.43 0.00 1.69 2.09

time (sec)

N/A 0.268 0.592 2.879 0.000 0.275 0.000 0.281 9.475

Problem 1657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 134 119 122 0 563 0 161 222

N.S.

1 1.06 0.94 0.97 0.00 4.47 0.00 1.28 1.76

time (sec)

N/A 0.244 0.496 2.657 0.000 0.283 0.000 0.281 0.174

Problem 1658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 140 129 119 0 666 0 185 209

N.S.

1 1.03 0.95 0.88 0.00 4.90 0.00 1.36 1.54

time (sec)

N/A 0.262 0.512 2.482 0.000 0.297 0.000 0.278 0.137

Problem 1659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 154 131 118 0 785 0 207 207

N.S.

1 1.05 0.90 0.81 0.00 5.38 0.00 1.42 1.42

time (sec)

N/A 0.265 0.544 2.601 0.000 0.431 0.000 0.285 9.562

Problem 1660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 168 128 130 0 884 0 231 218

N.S.

1 1.14 0.87 0.88 0.00 6.01 0.00 1.57 1.48

time (sec)

N/A 0.276 0.294 3.105 0.000 0.407 0.000 0.270 9.640

Problem 1661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

173 205 170 156 0 1204 0 326 294

N.S.

1 1.18 0.98 0.90 0.00 6.96 0.00 1.88 1.70

time (sec)

N/A 0.289 0.638 2.482 0.000 0.458 0.000 0.300 9.768

Problem 1662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 241 220 177 0 1840 0 432 334

N.S.

1 1.20 1.10 0.88 0.00 9.20 0.00 2.16 1.67

time (sec)

N/A 0.317 0.907 2.799 0.000 0.652 0.000 0.279 9.714

Problem 1663

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

229 277 285 200 0 2550 0 480 373

N.S.

1 1.21 1.24 0.87 0.00 11.14 0.00 2.10 1.63

time (sec)

N/A 0.344 1.051 2.522 0.000 1.029 0.000 0.279 9.828

Problem 1664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

253 278 434 342 0 1606 0 784 846

N.S.

1 1.10 1.72 1.35 0.00 6.35 0.00 3.10 3.34

time (sec)

N/A 0.347 1.926 3.510 0.000 0.355 0.000 0.300 9.736

Problem 1665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

224 249 351 292 0 1234 0 611 711

N.S.

1 1.11 1.57 1.30 0.00 5.51 0.00 2.73 3.17

time (sec)

N/A 0.323 1.853 3.411 0.000 0.331 0.000 0.297 0.311

Problem 1666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

197 220 273 265 0 890 0 456 598

N.S.

1 1.12 1.39 1.35 0.00 4.52 0.00 2.31 3.04

time (sec)

N/A 0.299 1.556 3.870 0.000 0.326 0.000 0.303 0.323

Problem 1667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

178 198 212 211 0 1003 0 330 480

N.S.

1 1.11 1.19 1.19 0.00 5.63 0.00 1.85 2.70

time (sec)

N/A 0.273 1.166 3.530 0.000 0.362 0.000 0.306 9.557

Problem 1668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

188 204 223 207 0 1158 0 354 439

N.S.

1 1.09 1.19 1.10 0.00 6.16 0.00 1.88 2.34

time (sec)

N/A 0.292 1.269 3.594 0.000 0.341 0.000 0.291 9.536

Problem 1669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

198 218 222 205 0 1337 0 380 411

N.S.

1 1.10 1.12 1.04 0.00 6.75 0.00 1.92 2.08

time (sec)

N/A 0.300 1.205 3.696 0.000 0.322 0.000 0.294 0.170

Problem 1670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

208 232 223 219 0 1492 0 410 398

N.S.

1 1.12 1.07 1.05 0.00 7.17 0.00 1.97 1.91

time (sec)

N/A 0.316 1.540 2.366 0.000 0.507 0.000 0.286 9.578

Problem 1671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

218 246 224 220 0 1673 0 432 401

N.S.

1 1.13 1.03 1.01 0.00 7.67 0.00 1.98 1.84

time (sec)

N/A 0.328 1.257 2.532 0.000 0.447 0.000 0.316 9.539

Problem 1672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

213 260 220 219 0 1824 0 456 252

N.S.

1 1.22 1.03 1.03 0.00 8.56 0.00 2.14 1.18

time (sec)

N/A 0.334 0.572 3.131 0.000 0.484 0.000 0.279 9.596

Problem 1673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

239 297 284 270 0 2314 0 579 515

N.S.

1 1.24 1.19 1.13 0.00 9.68 0.00 2.42 2.15

time (sec)

N/A 0.357 1.477 2.501 0.000 1.017 0.000 0.304 10.095

Problem 1674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 333 357 291 0 3244 0 649 555

N.S.

1 1.25 1.34 1.09 0.00 12.20 0.00 2.44 2.09

time (sec)

N/A 0.382 2.021 2.411 0.000 0.878 0.000 0.297 10.320

Problem 1675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

295 369 443 314 0 4232 0 898 594

N.S.

1 1.25 1.50 1.06 0.00 14.35 0.00 3.04 2.01

time (sec)

N/A 0.392 2.206 2.547 0.000 1.617 0.000 0.295 10.509

Problem 1676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

96 70 48 33 93 93 0 354 0

N.S.

1 0.73 0.50 0.34 0.97 0.97 0.00 3.69 0.00

time (sec)

N/A 0.217 0.037 2.249 0.196 0.322 0.000 0.288 0.000

Problem 1677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

96 70 48 33 69 69 0 228 0

N.S.

1 0.73 0.50 0.34 0.72 0.72 0.00 2.38 0.00

time (sec)

N/A 0.212 0.029 2.422 0.236 0.272 0.000 0.297 0.000

Problem 1678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

96 70 48 33 46 46 0 124 0

N.S.

1 0.73 0.50 0.34 0.48 0.48 0.00 1.29 0.00

time (sec)

N/A 0.213 0.026 2.393 0.205 0.272 0.000 0.268 0.000

Problem 1679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

94 68 47 32 46 25 0 51 81

N.S.

1 0.72 0.50 0.34 0.49 0.27 0.00 0.54 0.86

time (sec)

N/A 0.214 0.027 2.049 0.199 0.384 0.000 0.284 9.611

Problem 1680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

92 66 48 32 25 35 0 52 58

N.S.

1 0.72 0.52 0.35 0.27 0.38 0.00 0.57 0.63

time (sec)

N/A 0.215 0.032 2.078 0.216 0.400 0.000 0.302 9.725

Problem 1681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

94 68 47 32 35 46 0 46 95

N.S.

1 0.72 0.50 0.34 0.37 0.49 0.00 0.49 1.01

time (sec)

N/A 0.209 0.033 2.009 0.223 0.355 0.000 0.297 9.935

Problem 1682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

96 70 48 33 47 58 0 47 120

N.S.

1 0.73 0.50 0.34 0.49 0.60 0.00 0.49 1.25

time (sec)

N/A 0.215 0.033 2.027 0.216 0.344 0.000 0.299 9.942

Problem 1683

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

208 128 120 132 268 268 0 953 0

N.S.

1 0.62 0.58 0.63 1.29 1.29 0.00 4.58 0.00

time (sec)

N/A 0.273 0.085 2.506 0.204 0.594 0.000 0.360 0.000

Problem 1684

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

208 128 120 132 216 216 0 638 0

N.S.

1 0.62 0.58 0.63 1.04 1.04 0.00 3.07 0.00

time (sec)

N/A 0.262 0.074 2.576 0.206 0.290 0.000 0.314 0.000

Problem 1685

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

208 128 120 132 164 164 0 370 0

N.S.

1 0.62 0.58 0.63 0.79 0.79 0.00 1.78 0.00

time (sec)

N/A 0.264 0.074 2.254 0.199 0.266 0.000 0.462 0.000

Problem 1686

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

204 124 119 132 164 115 0 161 198

N.S.

1 0.61 0.58 0.65 0.80 0.56 0.00 0.79 0.97

time (sec)

N/A 0.261 0.065 2.239 0.204 0.271 0.000 0.383 9.950

Problem 1687

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

202 122 119 132 114 124 0 212 147

N.S.

1 0.60 0.59 0.65 0.56 0.61 0.00 1.05 0.73

time (sec)

N/A 0.261 0.066 2.269 0.205 0.276 0.000 0.352 10.072

Problem 1688

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

204 124 119 108 125 136 0 201 184

N.S.

1 0.61 0.58 0.53 0.61 0.67 0.00 0.99 0.90

time (sec)

N/A 0.263 0.076 2.257 0.196 0.274 0.000 0.353 10.201

Problem 1689

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

202 122 118 131 137 148 0 191 210

N.S.

1 0.60 0.58 0.65 0.68 0.73 0.00 0.95 1.04

time (sec)

N/A 0.251 0.079 2.509 0.206 0.269 0.000 0.343 10.229

Problem 1690

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

204 124 119 132 147 158 0 188 239

N.S.

1 0.61 0.58 0.65 0.72 0.77 0.00 0.92 1.17

time (sec)

N/A 0.261 0.083 2.621 0.198 0.290 0.000 0.326 10.332

Problem 1691

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

208 128 120 132 159 170 0 188 268

N.S.

1 0.62 0.58 0.63 0.76 0.82 0.00 0.90 1.29

time (sec)

N/A 0.256 0.088 2.352 0.208 0.400 0.000 0.346 10.304

Problem 1692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

320 186 235 289 497 497 0 1743 0

N.S.

1 0.58 0.73 0.90 1.55 1.55 0.00 5.45 0.00

time (sec)

N/A 0.323 0.143 2.299 0.208 0.391 0.000 0.376 0.000

Problem 1693

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

320 186 235 289 418 418 0 1192 0

N.S.

1 0.58 0.73 0.90 1.31 1.31 0.00 3.72 0.00

time (sec)

N/A 0.315 0.129 2.313 0.249 0.395 0.000 0.357 0.000

Problem 1694

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

318 184 235 289 338 338 0 713 0

N.S.

1 0.58 0.74 0.91 1.06 1.06 0.00 2.24 0.00

time (sec)

N/A 0.307 0.117 2.214 0.220 0.576 0.000 0.342 0.000

Problem 1695

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

316 182 234 289 338 261 0 319 375

N.S.

1 0.58 0.74 0.91 1.07 0.83 0.00 1.01 1.19

time (sec)

N/A 0.308 0.109 2.229 0.212 0.334 0.000 0.307 10.182

Problem 1696

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

314 180 234 289 261 271 0 476 294

N.S.

1 0.57 0.75 0.92 0.83 0.86 0.00 1.52 0.94

time (sec)

N/A 0.305 0.119 3.009 0.220 0.288 0.000 0.324 10.422

Problem 1697

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

314 180 235 226 272 283 0 461 330

N.S.

1 0.57 0.75 0.72 0.87 0.90 0.00 1.47 1.05

time (sec)

N/A 0.304 0.119 2.470 0.206 0.277 0.000 0.335 10.517

Problem 1698

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

316 182 236 215 283 294 0 457 359

N.S.

1 0.58 0.75 0.68 0.90 0.93 0.00 1.45 1.14

time (sec)

N/A 0.309 0.124 2.289 0.213 0.302 0.000 0.313 10.540

Problem 1699

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

314 180 235 227 293 304 0 451 386

N.S.

1 0.57 0.75 0.72 0.93 0.97 0.00 1.44 1.23

time (sec)

N/A 0.319 0.123 2.228 0.206 0.356 0.000 0.298 10.573

Problem 1700

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

314 180 235 282 305 316 0 441 416

N.S.

1 0.57 0.75 0.90 0.97 1.01 0.00 1.40 1.32

time (sec)

N/A 0.306 0.129 2.274 0.218 0.294 0.000 0.302 10.633