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

verified

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

size

305 303 125 0 0 0 0 0 0

N.S.

1 0.99 0.41 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.125 0.071 0.000 0.000 0.000 0.000 0.000 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

216 209 698 0 0 0 0 0 0

N.S.

1 0.97 3.23 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.025 3.269 0.000 0.000 0.000 0.000 0.000 0.000

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 25 0 0 25 25

N.S.

1 1.00 1.08 0.92 1.00 0.00 0.00 1.00 1.00

time (sec)

N/A 0.297 0.272 0.206 2.533 0.000 0.000 5.196 2.559

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

326 300 320 0 0 0 0 0 0

N.S.

1 0.92 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.757 0.297 0.000 0.000 0.000 0.000 0.000 0.000

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

217 203 205 0 0 0 0 0 0

N.S.

1 0.94 0.94 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.640 0.184 0.000 0.000 0.000 0.000 0.000 0.000

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

214 200 217 0 0 0 0 0 0

N.S.

1 0.93 1.01 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.635 0.179 0.000 0.000 0.000 0.000 0.000 0.000

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

113 122 119 0 0 0 0 0 0

N.S.

1 1.08 1.05 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.595 0.056 0.000 0.000 0.000 0.000 0.000 0.000

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

92 93 111 0 0 0 0 0 0

N.S.

1 1.01 1.21 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.454 0.071 0.000 0.000 0.000 0.000 0.000 0.000

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 25 0 36 25 25

N.S.

1 1.00 1.08 0.92 1.00 0.00 1.44 1.00 1.00

time (sec)

N/A 0.306 0.123 0.214 0.798 0.000 0.695 1.846 2.601

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

367 338 490 0 0 0 0 0 0

N.S.

1 0.92 1.34 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.724 0.589 0.000 0.000 0.000 0.000 0.000 0.000

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

262 245 253 0 0 0 0 0 0

N.S.

1 0.94 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.577 0.338 0.000 0.000 0.000 0.000 0.000 0.000

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

255 238 327 0 0 0 0 0 0

N.S.

1 0.93 1.28 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.584 0.252 0.000 0.000 0.000 0.000 0.000 0.000

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

148 153 147 0 0 0 0 0 0

N.S.

1 1.03 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.565 0.100 0.000 0.000 0.000 0.000 0.000 0.000

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

122 134 155 0 0 0 0 0 0

N.S.

1 1.10 1.27 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.656 0.189 0.000 0.000 0.000 0.000 0.000 0.000

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 25 0 88 25 25

N.S.

1 1.00 1.08 0.92 1.00 0.00 3.52 1.00 1.00

time (sec)

N/A 0.313 0.143 0.219 0.750 0.000 1.899 0.510 2.633

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

437 607 551 0 0 0 0 0 0

N.S.

1 1.39 1.26 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.593 2.772 0.000 0.000 0.000 0.000 0.000 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

326 429 390 0 0 0 0 0 0

N.S.

1 1.32 1.20 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.734 1.280 0.000 0.000 0.000 0.000 0.000 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

321 399 389 0 0 0 0 0 0

N.S.

1 1.24 1.21 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.851 1.147 0.000 0.000 0.000 0.000 0.000 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

209 216 227 0 0 0 0 0 0

N.S.

1 1.03 1.09 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.279 0.522 0.000 0.000 0.000 0.000 0.000 0.000

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

158 162 207 0 0 0 0 0 0

N.S.

1 1.03 1.31 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.758 0.434 0.000 0.000 0.000 0.000 0.000 0.000

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 25 0 155 25 25

N.S.

1 1.00 1.08 0.92 1.00 0.00 6.20 1.00 1.00

time (sec)

N/A 0.318 0.139 0.208 0.709 0.000 8.739 0.587 2.705

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

531 693 701 0 0 0 0 0 0

N.S.

1 1.31 1.32 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.541 2.245 0.000 0.000 0.000 0.000 0.000 0.000

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

420 521 429 0 0 0 0 0 0

N.S.

1 1.24 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.689 1.622 0.000 0.000 0.000 0.000 0.000 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

410 492 474 0 0 0 0 0 0

N.S.

1 1.20 1.16 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.123 1.201 0.000 0.000 0.000 0.000 0.000 0.000

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

252 257 235 0 0 0 0 0 0

N.S.

1 1.02 0.93 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.251 0.647 0.000 0.000 0.000 0.000 0.000 0.000

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

195 210 238 0 0 0 0 0 0

N.S.

1 1.08 1.22 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.995 0.139 0.000 0.000 0.000 0.000 0.000 0.000

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 25 0 221 25 25

N.S.

1 1.00 1.08 0.92 1.00 0.00 8.84 1.00 1.00

time (sec)

N/A 0.323 0.138 0.246 0.798 0.000 105.850 0.675 2.593

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

298 323 113 238 0 306 0 0 0

N.S.

1 1.08 0.38 0.80 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 0.473 0.159 2.978 0.000 0.108 0.000 0.000 0.000

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

177 194 113 212 0 254 0 0 0

N.S.

1 1.10 0.64 1.20 0.00 1.44 0.00 0.00 0.00

time (sec)

N/A 0.352 0.127 1.289 0.000 0.098 0.000 0.000 0.000

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

261 286 87 205 0 185 0 0 0

N.S.

1 1.10 0.33 0.79 0.00 0.71 0.00 0.00 0.00

time (sec)

N/A 0.434 0.036 0.908 0.000 0.098 0.000 0.000 0.000

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

142 157 87 179 0 142 0 0 0

N.S.

1 1.11 0.61 1.26 0.00 1.00 0.00 0.00 0.00

time (sec)

N/A 0.318 0.026 0.685 0.000 0.098 0.000 0.000 0.000

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 247 61 161 0 93 0 0 0

N.S.

1 1.11 0.27 0.72 0.00 0.42 0.00 0.00 0.00

time (sec)

N/A 0.410 0.031 0.565 0.000 0.091 0.000 0.000 0.000

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 116 56 140 0 110 0 0 0

N.S.

1 1.09 0.53 1.32 0.00 1.04 0.00 0.00 0.00

time (sec)

N/A 0.318 0.020 0.437 0.000 0.093 0.000 0.000 0.000

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

266 286 58 202 0 181 0 0 0

N.S.

1 1.08 0.22 0.76 0.00 0.68 0.00 0.00 0.00

time (sec)

N/A 0.438 0.028 0.513 0.000 0.102 0.000 0.000 0.000

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 159 61 176 0 208 0 0 0

N.S.

1 1.10 0.42 1.21 0.00 1.43 0.00 0.00 0.00

time (sec)

N/A 0.339 0.031 0.661 0.000 0.100 0.000 0.000 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

134 135 110 0 0 0 0 0 0

N.S.

1 1.01 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.488 0.096 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(-2) F F F F(-1)

verified

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

size

134 135 110 0 0 0 0 0 0

N.S.

1 1.01 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.469 0.087 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(-2) F F F F(-1)

verified

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

size

134 135 110 0 0 0 0 0 0

N.S.

1 1.01 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.466 0.083 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(-2) F F F F(-1)

verified

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

size

134 135 110 0 0 0 0 0 0

N.S.

1 1.01 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.450 0.072 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(-2) F F F F(-1)

verified

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

size

132 131 110 0 0 0 0 0 0

N.S.

1 0.99 0.83 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.452 0.050 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(-2) F F F F(-1)

verified

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

size

130 129 109 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 0.457 0.073 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(-2) F F F F(-1)

verified

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

size

134 131 106 0 0 0 0 0 0

N.S.

1 0.98 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.470 0.060 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(-2) F F F F(-1)

verified

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

size

134 135 110 0 0 0 0 0 0

N.S.

1 1.01 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.471 0.060 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 N/A N/A N/A F(-2) N/A F(-1) N/A N/A

verified

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

size

25 25 27 23 0 256 0 25 25

N.S.

1 1.00 1.08 0.92 0.00 10.24 0.00 1.00 1.00

time (sec)

N/A 0.459 74.280 0.910 0.000 0.288 0.000 2.121 2.706

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 186 0 25 25

N.S.

1 1.00 1.08 0.92 0.00 7.44 0.00 1.00 1.00

time (sec)

N/A 0.461 120.369 0.219 0.000 0.283 0.000 1.823 2.659

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 100 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 4.00 0.88 1.00 1.00

time (sec)

N/A 0.463 66.169 0.239 0.000 0.312 20.338 1.612 2.680

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 55 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 2.20 0.88 1.00 1.00

time (sec)

N/A 0.448 104.771 0.237 0.000 0.268 3.880 1.149 2.973

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 55 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 2.20 0.88 1.00 1.00

time (sec)

N/A 0.451 61.732 0.087 0.000 0.266 3.403 0.599 2.799

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 83 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 3.32 0.88 1.00 1.00

time (sec)

N/A 0.452 43.205 0.329 0.000 0.265 6.559 0.751 2.798

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 97 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 3.88 0.88 1.00 1.00

time (sec)

N/A 0.458 39.195 0.253 0.000 0.279 14.788 2.983 2.660

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 111 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 4.44 0.88 1.00 1.00

time (sec)

N/A 0.463 73.145 0.250 0.000 0.280 61.702 0.759 2.703

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 330 0 25 25

N.S.

1 1.00 1.08 0.92 0.00 13.20 0.00 1.00 1.00

time (sec)

N/A 0.457 37.754 0.899 0.000 0.301 0.000 172.173 2.757

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 240 0 25 25

N.S.

1 1.00 1.08 0.92 0.00 9.60 0.00 1.00 1.00

time (sec)

N/A 0.453 74.088 0.225 0.000 0.282 0.000 2.364 2.810

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 130 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 5.20 0.88 1.00 1.00

time (sec)

N/A 0.452 34.309 0.216 0.000 0.268 39.495 2.244 2.762

Problem 255

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 71 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 2.84 0.88 1.00 1.00

time (sec)

N/A 0.446 57.210 0.232 0.000 0.278 6.792 1.465 2.815

Problem 256

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 71 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 2.84 0.88 1.00 1.00

time (sec)

N/A 0.427 13.866 0.074 0.000 0.282 5.190 0.698 2.931

Problem 257

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 99 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 3.96 0.88 1.00 1.00

time (sec)

N/A 0.445 16.330 0.263 0.000 0.279 9.407 0.906 2.737

Problem 258

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 113 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 4.52 0.88 1.00 1.00

time (sec)

N/A 0.453 10.218 0.244 0.000 0.271 18.432 3.848 2.817

Problem 259

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 0 127 22 25 25

N.S.

1 1.00 1.08 0.92 0.00 5.08 0.88 1.00 1.00

time (sec)

N/A 0.458 53.079 0.259 0.000 0.280 68.421 0.921 2.809

Problem 260

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 122 127 204 0 199 0 0 0

N.S.

1 0.93 0.97 1.56 0.00 1.52 0.00 0.00 0.00

time (sec)

N/A 0.691 0.082 0.924 0.000 0.275 0.000 0.000 0.000

Problem 261

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 101 110 167 0 161 0 0 0

N.S.

1 0.94 1.03 1.56 0.00 1.50 0.00 0.00 0.00

time (sec)

N/A 0.463 0.065 0.661 0.000 0.261 0.000 0.000 0.000

Problem 262

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

61 56 61 91 238 98 0 0 0

N.S.

1 0.92 1.00 1.49 3.90 1.61 0.00 0.00 0.00

time (sec)

N/A 0.327 0.039 0.860 0.245 0.257 0.000 0.000 0.000

Problem 263

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 29 24 23 0 0 0 0 0

N.S.

1 0.94 0.77 0.74 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.389 0.052 0.585 0.000 0.000 0.000 0.000 0.000

Problem 264

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 33 47 44 0 0 0 0 0

N.S.

1 0.92 1.31 1.22 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.475 0.049 0.852 0.000 0.000 0.000 0.000 0.000

Problem 265

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 63 85 63 0 0 0 0 0

N.S.

1 0.89 1.20 0.89 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.430 0.171 0.587 0.000 0.000 0.000 0.000 0.000

Problem 266

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

235 301 266 592 0 332 694 0 0

N.S.

1 1.28 1.13 2.52 0.00 1.41 2.95 0.00 0.00

time (sec)

N/A 1.619 0.162 0.727 0.000 0.263 1.145 0.000 0.000

Problem 267

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

189 226 211 479 0 259 568 0 0

N.S.

1 1.20 1.12 2.53 0.00 1.37 3.01 0.00 0.00

time (sec)

N/A 0.765 0.110 0.892 0.000 0.269 0.736 0.000 0.000

Problem 268

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 116 124 262 394 160 298 0 0

N.S.

1 1.09 1.17 2.47 3.72 1.51 2.81 0.00 0.00

time (sec)

N/A 0.470 0.065 0.722 0.275 0.267 0.495 0.000 0.000

Problem 269

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

47 42 37 36 0 0 0 0 0

N.S.

1 0.89 0.79 0.77 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.414 0.478 0.736 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 F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 55 70 72 0 0 0 0 0

N.S.

1 1.02 1.30 1.33 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.487 0.222 0.704 0.000 0.000 0.000 0.000 0.000

Problem 271

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

84 110 108 110 0 0 0 0 0

N.S.

1 1.31 1.29 1.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.035 0.211 0.869 0.000 0.000 0.000 0.000 0.000

Problem 272

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

15 15 15 14 179 32 26 0 13

N.S.

1 1.00 1.00 0.93 11.93 2.13 1.73 0.00 0.87

time (sec)

N/A 0.285 0.016 0.778 0.299 0.264 0.289 0.000 2.641

Problem 273

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

15 15 15 14 132 32 26 0 13

N.S.

1 1.00 1.00 0.93 8.80 2.13 1.73 0.00 0.87

time (sec)

N/A 0.284 0.015 0.717 0.228 0.245 0.231 0.000 2.676

Problem 274

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

15 15 15 14 84 32 24 0 13

N.S.

1 1.00 1.00 0.93 5.60 2.13 1.60 0.00 0.87

time (sec)

N/A 0.255 0.013 0.701 0.276 0.259 0.207 0.000 2.850

Problem 275

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 12 0 30 22 0 11

N.S.

1 1.00 1.00 1.09 0.00 2.73 2.00 0.00 1.00

time (sec)

N/A 0.286 0.024 0.717 0.000 0.236 0.240 0.000 2.650

Problem 276

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

13 13 13 14 150 32 26 0 13

N.S.

1 1.00 1.00 1.08 11.54 2.46 2.00 0.00 1.00

time (sec)

N/A 0.281 0.012 0.724 0.328 0.247 0.511 0.000 2.631

Problem 277

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 15 14 0 32 29 0 13

N.S.

1 1.00 1.00 0.93 0.00 2.13 1.93 0.00 0.87

time (sec)

N/A 0.278 0.011 0.750 0.000 0.246 0.772 0.000 2.634

Problem 278

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

115 119 128 203 0 0 0 0 0

N.S.

1 1.03 1.11 1.77 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.706 0.426 0.755 0.000 0.000 0.000 0.000 0.000

Problem 279

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

86 93 98 168 0 0 0 0 0

N.S.

1 1.08 1.14 1.95 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.591 0.300 0.630 0.000 0.000 0.000 0.000 0.000

Problem 280

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 44 62 131 119 115 0 76 0

N.S.

1 0.96 1.35 2.85 2.59 2.50 0.00 1.65 0.00

time (sec)

N/A 0.291 0.066 0.612 0.337 0.264 0.000 0.306 0.000

Problem 281

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

30 30 32 28 30 82 31 30 30

N.S.

1 1.00 1.07 0.93 1.00 2.73 1.03 1.00 1.00

time (sec)

N/A 0.317 0.512 0.372 0.332 0.237 1.613 0.303 2.648

Problem 282

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

30 30 32 28 610 82 32 30 30

N.S.

1 1.00 1.07 0.93 20.33 2.73 1.07 1.00 1.00

time (sec)

N/A 0.407 2.209 0.322 2.535 0.256 1.769 0.310 2.630

Problem 283

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 56 44 71 102 52 42 74 45

N.S.

1 1.12 0.88 1.42 2.04 1.04 0.84 1.48 0.90

time (sec)

N/A 0.242 0.014 0.073 0.227 0.264 0.229 0.271 2.738

Problem 284

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 107 75 89 0 68 0 0 0

N.S.

1 1.06 0.74 0.88 0.00 0.67 0.00 0.00 0.00

time (sec)

N/A 0.267 0.086 0.451 0.000 0.087 0.000 0.000 0.000

Problem 285

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 33 34 29 30 42 27 40 28

N.S.

1 0.97 1.00 0.85 0.88 1.24 0.79 1.18 0.82

time (sec)

N/A 0.259 0.009 0.017 0.251 0.239 0.086 0.284 2.725

Problem 286

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

162 173 35 77 0 94 0 0 0

N.S.

1 1.07 0.22 0.48 0.00 0.58 0.00 0.00 0.00

time (sec)

N/A 0.305 10.014 0.135 0.000 0.110 0.000 0.000 0.000

Problem 287

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

54 67 54 0 0 0 0 0 0

N.S.

1 1.24 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.356 0.007 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 C C F A F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 42 66 0 76 0 0 0

N.S.

1 1.00 0.56 0.88 0.00 1.01 0.00 0.00 0.00

time (sec)

N/A 0.222 0.028 0.079 0.000 0.098 0.000 0.000 0.000

Problem 289

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 33 33 28 46 106 0 58 0

N.S.

1 1.00 1.00 0.85 1.39 3.21 0.00 1.76 0.00

time (sec)

N/A 0.224 0.006 0.014 0.230 0.265 0.000 0.278 0.000

Problem 290

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

197 203 88 101 0 0 0 0 0

N.S.

1 1.03 0.45 0.51 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.361 0.105 0.139 0.000 0.000 0.000 0.000 0.000

Problem 291

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

54 67 54 0 0 0 0 0 0

N.S.

1 1.24 1.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.344 0.008 0.000 0.000 0.000 0.000 0.000 0.000

Problem 292

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

72 82 43 47 46 40 0 50 0

N.S.

1 1.14 0.60 0.65 0.64 0.56 0.00 0.69 0.00

time (sec)

N/A 0.213 0.017 0.058 0.368 0.257 0.000 0.263 0.000

Problem 293

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

56 61 37 37 36 35 0 48 0

N.S.

1 1.09 0.66 0.66 0.64 0.62 0.00 0.86 0.00

time (sec)

N/A 0.207 0.014 0.012 0.314 0.250 0.000 0.280 0.000

Problem 294

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

35 34 46 24 23 28 29 40 31

N.S.

1 0.97 1.31 0.69 0.66 0.80 0.83 1.14 0.89

time (sec)

N/A 0.204 0.075 0.010 0.345 0.243 0.107 0.277 3.339

Problem 295

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 65 46 78 0 0 0 0 0

N.S.

1 1.41 1.00 1.70 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.349 0.008 0.229 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 A A A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 21 20 25 0 35 0

N.S.

1 1.00 1.00 0.81 0.77 0.96 0.00 1.35 0.00

time (sec)

N/A 0.180 0.009 0.010 0.347 0.246 0.000 0.274 0.000

Problem 297

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

46 51 34 31 30 32 0 52 0

N.S.

1 1.11 0.74 0.67 0.65 0.70 0.00 1.13 0.00

time (sec)

N/A 0.196 0.011 0.011 0.336 0.252 0.000 0.280 0.000

Problem 298

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

62 72 39 41 40 37 0 67 0

N.S.

1 1.16 0.63 0.66 0.65 0.60 0.00 1.08 0.00

time (sec)

N/A 0.211 0.013 0.012 0.322 0.259 0.000 0.274 0.000

Problem 299

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

78 93 44 51 50 42 0 82 0

N.S.

1 1.19 0.56 0.65 0.64 0.54 0.00 1.05 0.00

time (sec)

N/A 0.217 0.015 0.012 0.403 0.242 0.000 0.280 0.000

Problem 300

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 56 57 54 69 122 0 74 0

N.S.

1 1.00 1.02 0.96 1.23 2.18 0.00 1.32 0.00

time (sec)

N/A 0.289 0.030 0.151 0.219 0.255 0.000 0.340 0.000

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