2.2.12 Integrals 1101 to 1200

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 1101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 79 135 100 86 160 0 173 174

N.S.

1 1.07 1.82 1.35 1.16 2.16 0.00 2.34 2.35

time (sec)

N/A 0.500 0.111 0.372 0.189 0.290 0.000 0.366 10.397

Problem 1102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 107 175 118 106 187 0 201 205

N.S.

1 1.09 1.79 1.20 1.08 1.91 0.00 2.05 2.09

time (sec)

N/A 0.657 0.019 0.438 0.191 0.292 0.000 0.345 11.678

Problem 1103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 121 239 137 118 221 0 229 399

N.S.

1 1.06 2.10 1.20 1.04 1.94 0.00 2.01 3.50

time (sec)

N/A 0.668 0.116 0.477 0.190 0.277 0.000 0.382 12.064

Problem 1104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 147 279 156 138 239 0 201 205

N.S.

1 1.08 2.05 1.15 1.01 1.76 0.00 1.48 1.51

time (sec)

N/A 0.788 0.117 0.392 0.194 0.300 0.000 0.376 10.433

Problem 1105

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

301 310 144 142 100 116 335 142 309

N.S.

1 1.03 0.48 0.47 0.33 0.39 1.11 0.47 1.03

time (sec)

N/A 1.747 0.528 0.894 0.190 0.297 1.012 0.435 15.391

Problem 1106

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

278 284 141 144 101 128 420 150 139

N.S.

1 1.02 0.51 0.52 0.36 0.46 1.51 0.54 0.50

time (sec)

N/A 1.529 0.347 0.761 0.194 0.277 0.729 0.426 11.994

Problem 1107

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

129 143 132 105 81 85 223 141 256

N.S.

1 1.11 1.02 0.81 0.63 0.66 1.73 1.09 1.98

time (sec)

N/A 0.639 0.214 0.638 0.182 0.274 0.471 0.377 14.487

Problem 1108

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

116 204 125 93 97 112 0 213 319

N.S.

1 1.76 1.08 0.80 0.84 0.97 0.00 1.84 2.75

time (sec)

N/A 1.219 0.734 0.485 0.195 0.292 0.000 0.337 12.358

Problem 1109

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

181 202 167 131 127 155 0 274 578

N.S.

1 1.12 0.92 0.72 0.70 0.86 0.00 1.51 3.19

time (sec)

N/A 1.263 0.563 0.480 0.275 0.289 0.000 0.347 10.585

Problem 1110

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

189 201 191 157 150 210 0 252 397

N.S.

1 1.06 1.01 0.83 0.79 1.11 0.00 1.33 2.10

time (sec)

N/A 1.248 2.154 0.540 0.277 0.293 0.000 0.367 11.229

Problem 1111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 133 293 145 138 218 0 241 584

N.S.

1 1.00 2.20 1.09 1.04 1.64 0.00 1.81 4.39

time (sec)

N/A 0.369 6.094 0.574 0.278 0.286 0.000 0.498 12.680

Problem 1112

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

178 194 270 167 166 260 0 244 825

N.S.

1 1.09 1.52 0.94 0.93 1.46 0.00 1.37 4.63

time (sec)

N/A 1.271 5.181 0.451 0.339 0.282 0.000 0.521 12.774

Problem 1113

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

209 224 285 129 123 241 0 263 346

N.S.

1 1.07 1.36 0.62 0.59 1.15 0.00 1.26 1.66

time (sec)

N/A 1.315 1.790 0.385 0.399 0.310 0.000 0.542 10.950

Problem 1114

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

236 245 319 198 180 274 0 309 262

N.S.

1 1.04 1.35 0.84 0.76 1.16 0.00 1.31 1.11

time (sec)

N/A 1.539 1.173 0.501 0.203 0.287 0.000 0.497 11.139

Problem 1115

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

261 276 322 163 134 248 0 347 302

N.S.

1 1.06 1.23 0.62 0.51 0.95 0.00 1.33 1.16

time (sec)

N/A 1.807 1.657 0.550 0.216 0.301 0.000 0.690 10.497

Problem 1116

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

354 351 204 198 140 164 505 204 578

N.S.

1 0.99 0.58 0.56 0.40 0.46 1.43 0.58 1.63

time (sec)

N/A 2.060 0.752 0.967 0.246 0.295 0.995 0.477 11.851

Problem 1117

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

194 197 189 177 117 136 456 184 552

N.S.

1 1.02 0.97 0.91 0.60 0.70 2.35 0.95 2.85

time (sec)

N/A 0.918 0.534 0.839 0.195 0.312 0.689 0.430 11.797

Problem 1118

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

250 265 191 149 137 150 0 427 690

N.S.

1 1.06 0.76 0.60 0.55 0.60 0.00 1.71 2.76

time (sec)

N/A 1.644 0.782 0.651 0.215 0.290 0.000 0.392 12.231

Problem 1119

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

229 252 194 152 143 179 0 345 674

N.S.

1 1.10 0.85 0.66 0.62 0.78 0.00 1.51 2.94

time (sec)

N/A 1.602 1.736 0.590 0.318 0.308 0.000 0.400 11.033

Problem 1120

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

231 255 252 198 186 260 0 400 718

N.S.

1 1.10 1.09 0.86 0.81 1.13 0.00 1.73 3.11

time (sec)

N/A 1.628 6.518 0.650 0.285 0.283 0.000 0.425 10.725

Problem 1121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

194 194 355 186 187 293 0 421 405

N.S.

1 1.00 1.83 0.96 0.96 1.51 0.00 2.17 2.09

time (sec)

N/A 0.441 6.108 0.642 0.288 0.310 0.000 0.408 11.757

Problem 1122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 204 381 226 212 331 0 343 699

N.S.

1 1.09 2.04 1.21 1.13 1.77 0.00 1.83 3.74

time (sec)

N/A 1.490 7.181 0.676 0.281 0.299 0.000 0.468 10.467

Problem 1123

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

227 244 405 192 182 334 0 356 1007

N.S.

1 1.07 1.78 0.85 0.80 1.47 0.00 1.57 4.44

time (sec)

N/A 1.711 2.125 0.612 0.298 0.294 0.000 0.433 14.540

Problem 1124

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

275 292 408 227 217 373 0 399 446

N.S.

1 1.06 1.48 0.83 0.79 1.36 0.00 1.45 1.62

time (sec)

N/A 1.838 2.060 0.547 0.273 0.316 0.000 0.426 10.670

Problem 1125

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

303 314 324 243 208 347 0 456 359

N.S.

1 1.04 1.07 0.80 0.69 1.15 0.00 1.50 1.18

time (sec)

N/A 2.089 1.377 0.675 0.201 0.307 0.000 0.461 10.595

Problem 1126

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

334 340 268 280 248 384 0 457 381

N.S.

1 1.02 0.80 0.84 0.74 1.15 0.00 1.37 1.14

time (sec)

N/A 2.289 2.067 0.669 0.206 0.292 0.000 0.448 10.559

Problem 1127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 352 378 434 0 649 0 536 2390

N.S.

1 1.15 1.23 1.41 0.00 2.11 0.00 1.75 7.79

time (sec)

N/A 2.049 3.178 2.417 0.000 0.329 0.000 0.347 14.772

Problem 1128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

267 304 325 382 0 604 0 449 1003

N.S.

1 1.14 1.22 1.43 0.00 2.26 0.00 1.68 3.76

time (sec)

N/A 1.571 2.893 1.756 0.000 0.339 0.000 0.338 13.037

Problem 1129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

163 179 247 276 0 507 0 300 964

N.S.

1 1.10 1.52 1.69 0.00 3.11 0.00 1.84 5.91

time (sec)

N/A 0.735 1.581 1.271 0.000 0.336 0.000 0.328 12.605

Problem 1130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 166 161 193 0 516 0 286 2773

N.S.

1 1.21 1.18 1.41 0.00 3.77 0.00 2.09 20.24

time (sec)

N/A 0.712 0.758 0.867 0.000 0.383 0.000 0.336 12.754

Problem 1131

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

154 175 182 201 0 675 0 260 6377

N.S.

1 1.14 1.18 1.31 0.00 4.38 0.00 1.69 41.41

time (sec)

N/A 0.740 1.565 0.536 0.000 0.397 0.000 0.422 13.834

Problem 1132

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

158 201 191 209 0 804 0 275 675

N.S.

1 1.27 1.21 1.32 0.00 5.09 0.00 1.74 4.27

time (sec)

N/A 1.027 3.008 0.548 0.000 0.377 0.000 0.441 10.319

Problem 1133

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

238 266 403 287 0 1149 0 356 973

N.S.

1 1.12 1.69 1.21 0.00 4.83 0.00 1.50 4.09

time (sec)

N/A 1.445 6.150 0.708 0.000 0.410 0.000 0.486 10.672

Problem 1134

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

292 330 496 365 0 1578 0 461 1158

N.S.

1 1.13 1.70 1.25 0.00 5.40 0.00 1.58 3.97

time (sec)

N/A 2.028 7.023 0.872 0.000 0.525 0.000 0.490 10.643

Problem 1135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

331 378 1250 450 0 1110 0 540 3581

N.S.

1 1.14 3.78 1.36 0.00 3.35 0.00 1.63 10.82

time (sec)

N/A 2.091 7.531 2.723 0.000 0.385 0.000 0.820 17.951

Problem 1136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

284 321 1030 344 0 976 0 393 2034

N.S.

1 1.13 3.63 1.21 0.00 3.44 0.00 1.38 7.16

time (sec)

N/A 1.615 5.146 2.340 0.000 0.365 0.000 0.370 16.857

Problem 1137

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

173 186 274 288 0 837 0 429 1743

N.S.

1 1.08 1.58 1.66 0.00 4.84 0.00 2.48 10.08

time (sec)

N/A 0.735 2.418 1.724 0.000 0.353 0.000 0.370 14.669

Problem 1138

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

175 199 176 240 0 1042 0 275 3001

N.S.

1 1.14 1.01 1.37 0.00 5.95 0.00 1.57 17.15

time (sec)

N/A 0.772 1.662 0.837 0.000 0.515 0.000 0.333 16.361

Problem 1139

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

182 222 184 214 0 1064 0 273 956

N.S.

1 1.22 1.01 1.18 0.00 5.85 0.00 1.50 5.25

time (sec)

N/A 1.063 2.195 0.732 0.000 0.377 0.000 0.372 12.122

Problem 1140

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

218 279 319 283 0 1560 0 395 1100

N.S.

1 1.28 1.46 1.30 0.00 7.16 0.00 1.81 5.05

time (sec)

N/A 1.547 6.350 0.798 0.000 0.459 0.000 0.374 10.925

Problem 1141

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

289 358 459 360 0 2027 0 451 1261

N.S.

1 1.24 1.59 1.25 0.00 7.01 0.00 1.56 4.36

time (sec)

N/A 2.116 6.140 0.923 0.000 0.575 0.000 0.377 11.296

Problem 1142

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

340 429 347 431 0 2592 0 550 1487

N.S.

1 1.26 1.02 1.27 0.00 7.62 0.00 1.62 4.37

time (sec)

N/A 2.712 4.431 1.036 0.000 0.738 0.000 0.414 13.229

Problem 1143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

463 493 327 1619 0 633 0 0 0

N.S.

1 1.06 0.71 3.50 0.00 1.37 0.00 0.00 0.00

time (sec)

N/A 2.752 3.959 2.566 0.000 0.150 0.000 0.000 0.000

Problem 1144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

332 349 326 1356 0 584 0 0 0

N.S.

1 1.05 0.98 4.08 0.00 1.76 0.00 0.00 0.00

time (sec)

N/A 1.640 3.098 2.099 0.000 0.142 0.000 0.000 0.000

Problem 1145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

338 349 435 1155 0 0 0 0 0

N.S.

1 1.03 1.29 3.42 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.470 2.430 1.488 0.000 0.000 0.000 0.000 0.000

Problem 1146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

323 338 422 657 0 0 0 0 0

N.S.

1 1.05 1.31 2.03 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.396 2.667 1.399 0.000 0.000 0.000 0.000 0.000

Problem 1147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

345 351 450 1364 0 0 0 0 0

N.S.

1 1.02 1.30 3.95 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.399 2.444 1.577 0.000 0.000 0.000 0.000 0.000

Problem 1148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

351 353 473 1494 0 0 0 0 0

N.S.

1 1.01 1.35 4.26 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.461 4.023 1.436 0.000 0.000 0.000 0.000 0.000

Problem 1149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

412 422 643 1761 0 0 0 0 0

N.S.

1 1.02 1.56 4.27 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.163 6.947 1.620 0.000 0.000 0.000 0.000 0.000

Problem 1150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

484 502 545 2075 0 0 0 0 0

N.S.

1 1.04 1.13 4.29 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.929 6.745 2.062 0.000 0.000 0.000 0.000 0.000

Problem 1151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

528 560 382 1801 0 689 0 0 0

N.S.

1 1.06 0.72 3.41 0.00 1.30 0.00 0.00 0.00

time (sec)

N/A 3.321 10.640 2.936 0.000 0.223 0.000 0.000 0.000

Problem 1152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

394 416 382 1619 0 632 0 0 0

N.S.

1 1.06 0.97 4.11 0.00 1.60 0.00 0.00 0.00

time (sec)

N/A 2.035 8.604 2.513 0.000 0.170 0.000 0.000 0.000

Problem 1153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

390 403 477 1405 0 0 0 0 0

N.S.

1 1.03 1.22 3.60 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.986 2.696 1.843 0.000 0.000 0.000 0.000 0.000

Problem 1154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

374 392 452 727 0 0 0 0 0

N.S.

1 1.05 1.21 1.94 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.866 3.087 1.762 0.000 0.000 0.000 0.000 0.000

Problem 1155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

383 401 434 1379 0 0 0 0 0

N.S.

1 1.05 1.13 3.60 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.908 2.339 1.671 0.000 0.000 0.000 0.000 0.000

Problem 1156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

386 390 486 1511 0 0 0 0 0

N.S.

1 1.01 1.26 3.91 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.823 4.504 1.832 0.000 0.000 0.000 0.000 0.000

Problem 1157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

408 413 641 1760 0 0 0 0 0

N.S.

1 1.01 1.57 4.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.147 7.191 1.929 0.000 0.000 0.000 0.000 0.000

Problem 1158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

484 493 544 2075 0 0 0 0 0

N.S.

1 1.02 1.12 4.29 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.856 7.213 2.388 0.000 0.000 0.000 0.000 0.000

Problem 1159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

551 571 771 2458 0 0 0 0 0

N.S.

1 1.04 1.40 4.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 4.258 7.355 3.294 0.000 0.000 0.000 0.000 0.000

Problem 1160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

451 478 450 1801 0 688 0 0 0

N.S.

1 1.06 1.00 3.99 0.00 1.53 0.00 0.00 0.00

time (sec)

N/A 2.510 16.056 38.121 0.000 0.190 0.000 0.000 0.000

Problem 1161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

447 458 521 1573 0 0 0 0 0

N.S.

1 1.02 1.17 3.52 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.551 3.175 89.299 0.000 0.000 0.000 0.000 0.000

Problem 1162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

426 446 496 864 0 0 0 0 0

N.S.

1 1.05 1.16 2.03 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.453 3.645 39.878 0.000 0.000 0.000 0.000 0.000

Problem 1163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

430 451 460 1520 0 0 0 0 0

N.S.

1 1.05 1.07 3.53 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.483 4.039 17.615 0.000 0.000 0.000 0.000 0.000

Problem 1164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

429 445 466 1526 0 0 0 0 0

N.S.

1 1.04 1.09 3.56 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.516 2.726 8.234 0.000 0.000 0.000 0.000 0.000

Problem 1165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

449 455 655 1777 0 0 0 0 0

N.S.

1 1.01 1.46 3.96 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.653 7.331 21.626 0.000 0.000 0.000 0.000 0.000

Problem 1166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

482 486 545 2075 0 0 0 0 0

N.S.

1 1.01 1.13 4.30 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.906 7.335 50.168 0.000 0.000 0.000 0.000 0.000

Problem 1167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

551 562 771 2458 0 0 0 0 0

N.S.

1 1.02 1.40 4.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 4.373 7.499 121.333 0.000 0.000 0.000 0.000 0.000

Problem 1168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

471 502 382 1619 0 634 0 0 0

N.S.

1 1.07 0.81 3.44 0.00 1.35 0.00 0.00 0.00

time (sec)

N/A 2.873 4.242 1.822 0.000 0.185 0.000 0.000 0.000

Problem 1169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

405 428 326 1356 0 585 0 0 0

N.S.

1 1.06 0.80 3.35 0.00 1.44 0.00 0.00 0.00

time (sec)

N/A 2.330 3.301 1.419 0.000 0.162 0.000 0.000 0.000

Problem 1170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

283 295 275 1190 0 537 0 0 0

N.S.

1 1.04 0.97 4.20 0.00 1.90 0.00 0.00 0.00

time (sec)

N/A 1.351 2.128 1.217 0.000 0.153 0.000 0.000 0.000

Problem 1171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

288 297 408 1018 0 0 0 0 0

N.S.

1 1.03 1.42 3.53 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.962 2.603 1.019 0.000 0.000 0.000 0.000 0.000

Problem 1172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

285 291 416 704 0 0 0 0 0

N.S.

1 1.02 1.46 2.47 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.952 2.630 1.080 0.000 0.000 0.000 0.000 0.000

Problem 1173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 304 443 913 0 0 0 0 0

N.S.

1 0.99 1.44 2.97 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.983 2.348 1.495 0.000 0.000 0.000 0.000 0.000

Problem 1174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

353 361 475 1496 0 0 0 0 0

N.S.

1 1.02 1.35 4.24 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.489 3.827 1.315 0.000 0.000 0.000 0.000 0.000

Problem 1175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

412 428 647 1761 0 0 0 0 0

N.S.

1 1.04 1.57 4.27 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.193 7.139 1.608 0.000 0.000 0.000 0.000 0.000

Problem 1176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

466 504 326 1356 0 788 0 0 0

N.S.

1 1.08 0.70 2.91 0.00 1.69 0.00 0.00 0.00

time (sec)

N/A 2.994 5.270 3.000 0.000 0.257 0.000 0.000 0.000

Problem 1177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

401 430 275 1190 0 723 0 0 0

N.S.

1 1.07 0.69 2.97 0.00 1.80 0.00 0.00 0.00

time (sec)

N/A 2.356 3.942 2.505 0.000 0.215 0.000 0.000 0.000

Problem 1178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

261 273 222 943 0 659 0 0 0

N.S.

1 1.05 0.85 3.61 0.00 2.52 0.00 0.00 0.00

time (sec)

N/A 1.242 2.709 1.759 0.000 0.187 0.000 0.000 0.000

Problem 1179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

296 303 419 1010 0 0 0 0 0

N.S.

1 1.02 1.42 3.41 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.989 2.715 1.323 0.000 0.000 0.000 0.000 0.000

Problem 1180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

294 302 433 620 0 0 0 0 0

N.S.

1 1.03 1.47 2.11 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.014 2.617 1.353 0.000 0.000 0.000 0.000 0.000

Problem 1181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

366 369 435 1349 0 0 0 0 0

N.S.

1 1.01 1.19 3.69 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.607 3.508 1.433 0.000 0.000 0.000 0.000 0.000

Problem 1182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

416 436 468 1496 0 0 0 0 0

N.S.

1 1.05 1.12 3.60 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.208 3.830 1.701 0.000 0.000 0.000 0.000 0.000

Problem 1183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

469 508 1044 2033 0 955 0 0 0

N.S.

1 1.08 2.23 4.33 0.00 2.04 0.00 0.00 0.00

time (sec)

N/A 2.990 7.535 2.613 0.000 0.357 0.000 0.000 0.000

Problem 1184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

411 436 257 1642 0 873 0 0 0

N.S.

1 1.06 0.63 4.00 0.00 2.12 0.00 0.00 0.00

time (sec)

N/A 2.450 5.962 1.939 0.000 0.245 0.000 0.000 0.000

Problem 1185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

254 266 211 1430 0 794 0 0 0

N.S.

1 1.05 0.83 5.63 0.00 3.13 0.00 0.00 0.00

time (sec)

N/A 1.212 4.325 1.861 0.000 0.183 0.000 0.000 0.000

Problem 1186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

313 317 443 1375 0 0 0 0 0

N.S.

1 1.01 1.42 4.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.042 3.699 2.124 0.000 0.000 0.000 0.000 0.000

Problem 1187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

346 384 445 2112 0 0 0 0 0

N.S.

1 1.11 1.29 6.10 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.662 4.142 1.509 0.000 0.000 0.000 0.000 0.000

Problem 1188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

407 449 622 2617 0 0 0 0 0

N.S.

1 1.10 1.53 6.43 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.275 6.629 1.519 0.000 0.000 0.000 0.000 0.000

Problem 1189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

458 518 680 2870 0 0 0 0 0

N.S.

1 1.13 1.48 6.27 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.933 6.612 2.004 0.000 0.000 0.000 0.000 0.000

Problem 1190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

510 549 1670 17280 0 0 0 0 0

N.S.

1 1.08 3.27 33.88 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.720 7.408 9.723 0.000 0.000 0.000 0.000 0.000

Problem 1191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 33 35 29 31 31 32 31 31

N.S.

1 1.00 1.06 0.88 0.94 0.94 0.97 0.94 0.94

time (sec)

N/A 0.287 91.206 0.312 1.291 13.562 23.442 216.549 15.255

Problem 1192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 29 31 29 31 31 0 31 31

N.S.

1 1.00 1.07 1.00 1.07 1.07 0.00 1.07 1.07

time (sec)

N/A 0.257 5.291 0.435 6.378 0.601 0.000 13.956 18.927

Problem 1193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 33 35 33 35 35 0 35 35

N.S.

1 1.00 1.06 1.00 1.06 1.06 0.00 1.06 1.06

time (sec)

N/A 0.267 4.828 0.928 5.551 0.499 0.000 1.927 16.681

Problem 1194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 33 35 33 35 35 0 35 35

N.S.

1 1.00 1.06 1.00 1.06 1.06 0.00 1.06 1.06

time (sec)

N/A 0.273 4.641 0.796 15.885 0.441 0.000 2.470 15.650

Problem 1195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

623 579 195 0 0 0 0 0 0

N.S.

1 0.93 0.31 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.969 0.590 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

487 466 167 0 0 0 0 0 0

N.S.

1 0.96 0.34 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.100 0.239 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

129 129 111 0 0 0 0 0 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.361 0.115 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1198

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

97 101 105 72 72 106 136 133 71

N.S.

1 1.04 1.08 0.74 0.74 1.09 1.40 1.37 0.73

time (sec)

N/A 0.294 0.266 0.878 0.190 0.429 1.922 0.420 0.087

Problem 1199

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

97 101 94 72 72 95 136 118 71

N.S.

1 1.04 0.97 0.74 0.74 0.98 1.40 1.22 0.73

time (sec)

N/A 0.291 0.169 0.779 0.208 0.393 1.333 0.455 11.466

Problem 1200

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

81 74 105 72 72 84 114 133 71

N.S.

1 0.91 1.30 0.89 0.89 1.04 1.41 1.64 0.88

time (sec)

N/A 0.412 0.160 0.619 0.188 0.369 0.933 0.390 0.067