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2.2.3 Integrals 201 to 300

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 201

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

40 40 40 39 36 35 29 72 51

N.S.

1 1.00 1.00 0.98 0.90 0.88 0.72 1.80 1.28

time (sec)

N/A 0.203 0.017 0.225 0.181 0.262 0.112 0.276 0.559

Problem 202

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

23 23 32 22 19 22 15 37 21

N.S.

1 1.00 1.39 0.96 0.83 0.96 0.65 1.61 0.91

time (sec)

N/A 0.179 0.008 0.221 0.173 0.255 0.079 0.275 0.064

Problem 203

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

41 41 34 42 47 27 99 68 34

N.S.

1 1.00 0.83 1.02 1.15 0.66 2.41 1.66 0.83

time (sec)

N/A 0.211 0.017 0.252 0.176 0.261 0.408 0.278 0.800

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 42 69 110 40 158 95 100

N.S.

1 1.00 0.68 1.11 1.77 0.65 2.55 1.53 1.61

time (sec)

N/A 0.227 0.021 0.303 0.177 0.261 0.310 0.281 0.735

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 81 66 109 160 69 226 142 156

N.S.

1 0.98 0.80 1.31 1.93 0.83 2.72 1.71 1.88

time (sec)

N/A 0.245 0.028 0.290 0.189 0.269 0.441 0.269 0.797

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

104 102 91 150 218 94 286 183 199

N.S.

1 0.98 0.88 1.44 2.10 0.90 2.75 1.76 1.91

time (sec)

N/A 0.262 0.036 0.296 0.191 0.266 0.573 0.280 0.863

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

324 342 299 445 1368 264 0 334 0

N.S.

1 1.06 0.92 1.37 4.22 0.81 0.00 1.03 0.00

time (sec)

N/A 0.475 0.501 1.166 0.296 0.284 0.000 0.303 0.000

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

249 264 244 351 979 216 0 285 0

N.S.

1 1.06 0.98 1.41 3.93 0.87 0.00 1.14 0.00

time (sec)

N/A 0.415 0.313 0.924 0.283 0.276 0.000 0.306 0.000

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

229 232 198 268 624 174 0 241 0

N.S.

1 1.01 0.86 1.17 2.72 0.76 0.00 1.05 0.00

time (sec)

N/A 0.361 0.244 0.914 0.278 0.269 0.000 0.303 0.000

Problem 210

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

163 172 157 195 293 136 0 210 0

N.S.

1 1.06 0.96 1.20 1.80 0.83 0.00 1.29 0.00

time (sec)

N/A 0.292 0.239 0.832 0.263 0.278 0.000 0.321 0.000

Problem 211

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

94 109 45 129 103 99 0 180 0

N.S.

1 1.16 0.48 1.37 1.10 1.05 0.00 1.91 0.00

time (sec)

N/A 0.235 0.035 0.852 0.265 0.266 0.000 0.306 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

134 163 189 1067 0 356 0 252 0

N.S.

1 1.22 1.41 7.96 0.00 2.66 0.00 1.88 0.00

time (sec)

N/A 0.327 0.478 0.814 0.000 0.269 0.000 0.405 0.000

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

178 187 145 194 0 389 0 0 0

N.S.

1 1.05 0.81 1.09 0.00 2.19 0.00 0.00 0.00

time (sec)

N/A 0.281 0.129 1.335 0.000 0.271 0.000 0.000 0.000

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

264 255 194 282 0 574 0 0 0

N.S.

1 0.97 0.73 1.07 0.00 2.17 0.00 0.00 0.00

time (sec)

N/A 0.336 0.193 1.275 0.000 0.279 0.000 0.000 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

339 363 275 392 0 839 0 0 0

N.S.

1 1.07 0.81 1.16 0.00 2.47 0.00 0.00 0.00

time (sec)

N/A 0.461 0.320 2.114 0.000 0.299 0.000 0.000 0.000

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

494 414 121 0 0 554 0 0 0

N.S.

1 0.84 0.24 0.00 0.00 1.12 0.00 0.00 0.00

time (sec)

N/A 0.508 0.064 0.000 0.000 0.292 0.000 0.000 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

410 355 81 0 0 415 0 0 0

N.S.

1 0.87 0.20 0.00 0.00 1.01 0.00 0.00 0.00

time (sec)

N/A 0.471 0.032 0.000 0.000 0.283 0.000 0.000 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

338 299 45 0 0 255 0 0 0

N.S.

1 0.88 0.13 0.00 0.00 0.75 0.00 0.00 0.00

time (sec)

N/A 0.398 0.012 0.000 0.000 0.265 0.000 0.000 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

395 437 124 0 0 414 0 0 0

N.S.

1 1.11 0.31 0.00 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 0.534 0.075 0.000 0.000 0.285 0.000 0.000 0.000

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

205 261 110 0 0 598 0 0 0

N.S.

1 1.27 0.54 0.00 0.00 2.92 0.00 0.00 0.00

time (sec)

N/A 0.300 0.025 0.000 0.000 0.272 0.000 0.000 0.000

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

494 414 121 0 0 561 0 0 0

N.S.

1 0.84 0.24 0.00 0.00 1.14 0.00 0.00 0.00

time (sec)

N/A 0.514 0.067 0.000 0.000 0.298 0.000 0.000 0.000

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

410 355 79 0 0 431 0 0 0

N.S.

1 0.87 0.19 0.00 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 0.444 0.033 0.000 0.000 0.280 0.000 0.000 0.000

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

338 299 45 0 0 268 0 0 0

N.S.

1 0.88 0.13 0.00 0.00 0.79 0.00 0.00 0.00

time (sec)

N/A 0.396 0.012 0.000 0.000 0.279 0.000 0.000 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

427 427 122 0 0 690 0 0 0

N.S.

1 1.00 0.29 0.00 0.00 1.62 0.00 0.00 0.00

time (sec)

N/A 0.560 0.058 0.000 0.000 0.292 0.000 0.000 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

211 224 106 0 0 694 0 0 0

N.S.

1 1.06 0.50 0.00 0.00 3.29 0.00 0.00 0.00

time (sec)

N/A 0.323 0.020 0.000 0.000 0.273 0.000 0.000 0.000

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

494 414 99 0 0 561 0 0 0

N.S.

1 0.84 0.20 0.00 0.00 1.14 0.00 0.00 0.00

time (sec)

N/A 0.555 0.066 0.000 0.000 0.285 0.000 0.000 0.000

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

410 355 84 0 0 421 0 0 0

N.S.

1 0.87 0.20 0.00 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 0.479 0.029 0.000 0.000 0.284 0.000 0.000 0.000

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

338 299 45 0 0 266 0 0 0

N.S.

1 0.88 0.13 0.00 0.00 0.79 0.00 0.00 0.00

time (sec)

N/A 0.394 0.012 0.000 0.000 0.273 0.000 0.000 0.000

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

395 437 126 0 0 470 0 0 0

N.S.

1 1.11 0.32 0.00 0.00 1.19 0.00 0.00 0.00

time (sec)

N/A 0.517 0.026 0.000 0.000 0.285 0.000 0.000 0.000

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

210 261 107 0 0 707 0 0 0

N.S.

1 1.24 0.51 0.00 0.00 3.37 0.00 0.00 0.00

time (sec)

N/A 0.298 0.022 0.000 0.000 0.277 0.000 0.000 0.000

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

494 414 98 0 0 555 0 0 0

N.S.

1 0.84 0.20 0.00 0.00 1.12 0.00 0.00 0.00

time (sec)

N/A 0.528 0.065 0.000 0.000 0.297 0.000 0.000 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

410 355 84 0 0 433 0 0 0

N.S.

1 0.87 0.20 0.00 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 0.499 0.028 0.000 0.000 0.269 0.000 0.000 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

338 299 43 0 0 255 0 0 0

N.S.

1 0.88 0.13 0.00 0.00 0.75 0.00 0.00 0.00

time (sec)

N/A 0.430 0.012 0.000 0.000 0.273 0.000 0.000 0.000

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes N/A TBD TBD TBD TBD TBD

size

427 427 128 0 0 629 0 0 0

N.S.

1 1.00 0.30 0.00 0.00 1.47 0.00 0.00 0.00

time (sec)

N/A 0.596 0.024 0.000 0.000 0.276 0.000 0.000 0.000

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

211 226 107 0 0 613 0 0 0

N.S.

1 1.07 0.51 0.00 0.00 2.91 0.00 0.00 0.00

time (sec)

N/A 0.359 0.023 0.000 0.000 0.276 0.000 0.000 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

140 140 0 0 0 0 0 0 0

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.301 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

260 266 272 0 0 0 0 0 0

N.S.

1 1.02 1.05 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.428 0.260 0.000 0.000 0.000 0.000 0.000 0.000

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

220 226 160 0 0 0 0 0 0

N.S.

1 1.03 0.73 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.354 0.125 0.000 0.000 0.000 0.000 0.000 0.000

Problem 239

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

147 147 128 0 0 0 0 0 0

N.S.

1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.263 0.112 0.000 0.000 0.000 0.000 0.000 0.000

Problem 240

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

91 91 60 0 0 0 0 0 0

N.S.

1 1.00 0.66 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.207 0.026 0.000 0.000 0.000 0.000 0.000 0.000

Problem 241

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

191 203 170 0 0 0 0 0 0

N.S.

1 1.06 0.89 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.295 0.029 0.000 0.000 0.000 0.000 0.000 0.000

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

128 128 125 0 0 0 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.248 0.018 0.000 0.000 0.000 0.000 0.000 0.000

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

207 205 173 0 0 0 0 0 0

N.S.

1 0.99 0.84 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.340 0.055 0.000 0.000 0.000 0.000 0.000 0.000

Problem 244

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

102 102 102 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 0.329 0.025 0.000 0.000 0.000 0.000 0.000 0.000

Problem 245

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

63 63 63 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 0.222 0.012 0.000 0.000 0.000 0.000 0.000 0.000

Problem 246

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

61 61 61 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 0.206 0.011 0.000 0.000 0.000 0.000 0.000 0.000

Problem 247

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

60 60 45 0 0 0 0 0 0

N.S.

1 1.00 0.75 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.184 0.018 0.000 0.000 0.000 0.000 0.000 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 35 13 12 12 12 12 12

N.S.

1 1.00 2.69 1.00 0.92 0.92 0.92 0.92 0.92

time (sec)

N/A 0.197 0.007 0.493 0.267 0.261 0.407 0.285 0.628

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 50 60 39 0 39 95 0 44

N.S.

1 1.00 1.20 0.78 0.00 0.78 1.90 0.00 0.88

time (sec)

N/A 0.292 0.015 2.411 0.000 0.261 1.038 0.000 0.662

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 85 89 55 0 66 223 0 74

N.S.

1 1.02 1.07 0.66 0.00 0.80 2.69 0.00 0.89

time (sec)

N/A 0.396 0.106 10.336 0.000 0.266 2.872 0.000 0.714

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 120 123 71 0 93 398 0 104

N.S.

1 1.03 1.06 0.61 0.00 0.80 3.43 0.00 0.90

time (sec)

N/A 0.512 0.187 32.036 0.000 0.263 7.512 0.000 0.804

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

149 155 153 87 0 120 620 0 134

N.S.

1 1.04 1.03 0.58 0.00 0.81 4.16 0.00 0.90

time (sec)

N/A 0.665 0.211 85.375 0.000 0.284 21.896 0.000 0.860

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

98 98 98 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 0.324 0.018 0.000 0.000 0.000 0.000 0.000 0.000

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

97 97 97 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 0.314 0.015 0.000 0.000 0.000 0.000 0.000 0.000

Problem 255

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

93 93 93 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 0.316 0.015 0.000 0.000 0.000 0.000 0.000 0.000

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 35 37 0 42 0 0 33

N.S.

1 1.00 1.00 1.06 0.00 1.20 0.00 0.00 0.94

time (sec)

N/A 0.213 0.012 0.207 0.000 0.262 0.000 0.000 0.693

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 72 60 54 0 70 0 0 78

N.S.

1 1.00 0.83 0.75 0.00 0.97 0.00 0.00 1.08

time (sec)

N/A 0.323 0.025 0.202 0.000 0.273 0.000 0.000 0.729

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 116 79 70 0 97 0 0 120

N.S.

1 1.07 0.73 0.65 0.00 0.90 0.00 0.00 1.11

time (sec)

N/A 0.440 0.027 0.200 0.000 0.261 0.000 0.000 0.778

Problem 259

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

90 90 90 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 0.322 0.018 0.000 0.000 0.000 0.000 0.000 0.000

Problem 260

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

53 53 53 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 0.232 0.015 0.000 0.000 0.000 0.000 0.000 0.000

Problem 261

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 0.211 0.010 0.000 0.000 0.000 0.000 0.000 0.000

Problem 262

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

46 46 37 0 0 0 0 0 0

N.S.

1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.186 0.020 0.000 0.000 0.000 0.000 0.000 0.000

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 34 16 15 15 15 15 15

N.S.

1 1.00 1.89 0.89 0.83 0.83 0.83 0.83 0.83

time (sec)

N/A 0.203 0.007 0.520 0.279 0.269 0.418 0.300 0.606

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

53 53 55 40 0 40 99 0 46

N.S.

1 1.00 1.04 0.75 0.00 0.75 1.87 0.00 0.87

time (sec)

N/A 0.296 0.015 2.392 0.000 0.260 1.057 0.000 0.654

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 90 86 57 0 68 231 0 79

N.S.

1 1.02 0.98 0.65 0.00 0.77 2.62 0.00 0.90

time (sec)

N/A 0.407 0.101 10.279 0.000 0.267 2.865 0.000 0.699

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

123 127 122 73 0 95 410 0 111

N.S.

1 1.03 0.99 0.59 0.00 0.77 3.33 0.00 0.90

time (sec)

N/A 0.529 0.203 31.910 0.000 0.290 7.639 0.000 0.778

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

88 88 88 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 0.338 0.018 0.000 0.000 0.000 0.000 0.000 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

87 87 87 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 0.312 0.015 0.000 0.000 0.000 0.000 0.000 0.000

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

87 87 87 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 0.321 0.017 0.000 0.000 0.000 0.000 0.000 0.000

Problem 270

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 37 39 0 44 0 0 35

N.S.

1 1.00 1.00 1.05 0.00 1.19 0.00 0.00 0.95

time (sec)

N/A 0.226 0.014 0.223 0.000 0.265 0.000 0.000 0.677

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 76 62 56 0 72 0 0 80

N.S.

1 1.00 0.82 0.74 0.00 0.95 0.00 0.00 1.05

time (sec)

N/A 0.337 0.029 0.215 0.000 0.264 0.000 0.000 0.241

Problem 272

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

114 122 81 72 0 99 0 0 122

N.S.

1 1.07 0.71 0.63 0.00 0.87 0.00 0.00 1.07

time (sec)

N/A 0.478 0.028 0.211 0.000 0.279 0.000 0.000 0.770

Problem 273

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

101 101 102 0 0 0 0 0 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.325 0.020 0.000 0.000 0.000 0.000 0.000 0.000

Problem 274

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

63 63 63 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 0.222 0.013 0.000 0.000 0.000 0.000 0.000 0.000

Problem 275

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

61 61 61 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 0.223 0.011 0.000 0.000 0.000 0.000 0.000 0.000

Problem 276

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

60 60 45 0 0 0 0 0 0

N.S.

1 1.00 0.75 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.196 0.022 0.000 0.000 0.000 0.000 0.000 0.000

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 16 36 16 23 15 15 15 15

N.S.

1 1.00 2.25 1.00 1.44 0.94 0.94 0.94 0.94

time (sec)

N/A 0.200 0.008 0.658 0.200 0.261 2.946 0.287 0.624

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 60 41 0 41 116 0 47

N.S.

1 1.00 1.11 0.76 0.00 0.76 2.15 0.00 0.87

time (sec)

N/A 0.310 0.017 3.331 0.000 0.284 19.288 0.000 0.642

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 91 91 57 0 68 291 0 80

N.S.

1 1.02 1.02 0.64 0.00 0.76 3.27 0.00 0.90

time (sec)

N/A 0.414 0.121 12.617 0.000 0.257 87.600 0.000 0.723

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 128 127 73 0 95 0 0 112

N.S.

1 1.03 1.02 0.59 0.00 0.77 0.00 0.00 0.90

time (sec)

N/A 0.562 0.269 40.229 0.000 0.268 0.000 0.000 0.772

Problem 281

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

98 98 98 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 0.327 0.018 0.000 0.000 0.000 0.000 0.000 0.000

Problem 282

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

97 97 97 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 0.325 0.016 0.000 0.000 0.000 0.000 0.000 0.000

Problem 283

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

93 93 93 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 0.322 0.016 0.000 0.000 0.000 0.000 0.000 0.000

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 37 39 0 44 0 0 35

N.S.

1 1.00 0.97 1.03 0.00 1.16 0.00 0.00 0.92

time (sec)

N/A 0.218 0.017 0.200 0.000 0.270 0.000 0.000 0.702

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 62 56 0 72 0 0 81

N.S.

1 1.00 0.81 0.73 0.00 0.94 0.00 0.00 1.05

time (sec)

N/A 0.331 0.031 0.212 0.000 0.265 0.000 0.000 0.733

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 123 81 72 0 99 0 0 123

N.S.

1 1.07 0.70 0.63 0.00 0.86 0.00 0.00 1.07

time (sec)

N/A 0.466 0.039 0.212 0.000 0.291 0.000 0.000 0.763

Problem 287

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

90 90 90 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 0.325 0.019 0.000 0.000 0.000 0.000 0.000 0.000

Problem 288

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

53 53 53 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 0.218 0.014 0.000 0.000 0.000 0.000 0.000 0.000

Problem 289

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 0.207 0.011 0.000 0.000 0.000 0.000 0.000 0.000

Problem 290

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

46 46 37 0 0 0 0 0 0

N.S.

1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.182 0.021 0.000 0.000 0.000 0.000 0.000 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 34 18 23 15 19 15 15

N.S.

1 1.00 1.89 1.00 1.28 0.83 1.06 0.83 0.83

time (sec)

N/A 0.199 0.007 0.730 0.197 0.250 6.375 0.275 0.622

Problem 292

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 55 42 0 40 124 0 47

N.S.

1 1.00 1.02 0.78 0.00 0.74 2.30 0.00 0.87

time (sec)

N/A 0.298 0.017 3.461 0.000 0.258 39.108 0.000 0.643

Problem 293

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 91 85 59 0 68 316 0 79

N.S.

1 1.02 0.96 0.66 0.00 0.76 3.55 0.00 0.89

time (sec)

N/A 0.402 0.133 13.843 0.000 0.267 163.452 0.000 0.710

Problem 294

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 128 121 75 0 95 0 0 111

N.S.

1 1.03 0.98 0.60 0.00 0.77 0.00 0.00 0.90

time (sec)

N/A 0.526 0.283 42.191 0.000 0.263 0.000 0.000 0.765

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

88 88 88 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 0.326 0.018 0.000 0.000 0.000 0.000 0.000 0.000

Problem 296

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

87 87 87 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 0.319 0.015 0.000 0.000 0.000 0.000 0.000 0.000

Problem 297

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

87 87 87 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 0.322 0.016 0.000 0.000 0.000 0.000 0.000 0.000

Problem 298

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 37 41 0 44 0 0 35

N.S.

1 1.00 0.97 1.08 0.00 1.16 0.00 0.00 0.92

time (sec)

N/A 0.218 0.016 0.223 0.000 0.278 0.000 0.000 0.197

Problem 299

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 62 58 0 72 0 0 81

N.S.

1 1.00 0.81 0.75 0.00 0.94 0.00 0.00 1.05

time (sec)

N/A 0.322 0.030 0.194 0.000 0.275 0.000 0.000 0.752

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 123 81 74 0 99 0 0 123

N.S.

1 1.07 0.70 0.64 0.00 0.86 0.00 0.00 1.07

time (sec)

N/A 0.470 0.034 0.219 0.000 0.260 0.000 0.000 0.769

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