Integrals 301 to 400

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 301

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C B F B F F F B

verified

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

size

150 203 55 429 0 422 0 0 63 44

N.S.

1 1.35 0.37 2.86 0.00 2.81 0.00 0.00 0.42 0.29

time (sec)

N/A 0.441 0.040 1.570 0.000 0.161 0.000 0.000 0.164 26.475

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 205 57 431 0 475 0 0 33 44

N.S.

1 1.34 0.37 2.82 0.00 3.10 0.00 0.00 0.22 0.29

time (sec)

N/A 0.431 0.041 1.004 0.000 0.170 0.000 0.000 0.156 26.873

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

178 230 57 460 0 525 0 0 98 44

N.S.

1 1.29 0.32 2.58 0.00 2.95 0.00 0.00 0.55 0.25

time (sec)

N/A 0.544 0.049 1.033 0.000 0.186 0.000 0.000 0.156 26.792

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.213 0.065 0.000 0.000 0.000 0.000 0.000 0.178 0.000

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.212 0.050 0.000 0.000 0.000 0.000 0.000 0.162 0.000

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.189 0.044 0.000 0.000 0.000 0.000 0.000 0.171 0.000

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.205 0.050 0.000 0.000 0.000 0.000 0.000 0.163 0.000

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.206 0.046 0.000 0.000 0.000 0.000 0.000 0.164 0.000

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.220 0.064 0.000 0.000 0.000 0.000 0.000 0.186 0.000

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.219 0.062 0.000 0.000 0.000 0.000 0.000 0.190 0.000

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.191 0.051 0.000 0.000 0.000 0.000 0.000 0.162 0.000

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.222 0.060 0.000 0.000 0.000 0.000 0.000 0.201 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.218 0.060 0.000 0.000 0.000 0.000 0.000 0.186 0.000

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.215 0.060 0.000 0.000 0.000 0.000 0.000 0.173 0.000

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.214 0.054 0.000 0.000 0.000 0.000 0.000 0.164 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.187 0.044 0.000 0.000 0.000 0.000 0.000 0.158 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.214 0.054 0.000 0.000 0.000 0.000 0.000 0.174 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.212 0.049 0.000 0.000 0.000 0.000 0.000 0.162 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.224 0.055 0.000 0.000 0.000 0.000 0.000 0.221 0.000

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.223 0.053 0.000 0.000 0.000 0.000 0.000 0.254 0.000

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.190 0.042 0.000 0.000 0.000 0.000 0.000 0.159 0.000

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.219 0.050 0.000 0.000 0.000 0.000 0.000 0.164 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 55 0 0 0 0 0 23 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.218 0.046 0.000 0.000 0.000 0.000 0.000 0.171 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C F F A F F F B

verified

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

size

128 73 57 0 0 144 0 0 19 44

N.S.

1 0.57 0.45 0.00 0.00 1.12 0.00 0.00 0.15 0.34

time (sec)

N/A 0.297 0.049 0.000 0.000 0.134 0.000 0.000 0.169 26.631

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C F F B F F F B

verified

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

size

163 221 57 0 0 267 0 0 19 44

N.S.

1 1.36 0.35 0.00 0.00 1.64 0.00 0.00 0.12 0.27

time (sec)

N/A 0.368 0.049 0.000 0.000 0.112 0.000 0.000 0.177 26.425

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C F F B F F F B

verified

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

size

188 247 57 0 0 322 0 0 19 44

N.S.

1 1.31 0.30 0.00 0.00 1.71 0.00 0.00 0.10 0.23

time (sec)

N/A 0.450 0.062 0.000 0.000 0.129 0.000 0.000 0.164 26.997

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 101 57 0 0 197 0 0 19 44

N.S.

1 0.65 0.37 0.00 0.00 1.27 0.00 0.00 0.12 0.28

time (sec)

N/A 0.393 0.063 0.000 0.000 0.110 0.000 0.000 0.167 26.546

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 101 57 0 0 195 0 0 19 44

N.S.

1 0.65 0.37 0.00 0.00 1.26 0.00 0.00 0.12 0.28

time (sec)

N/A 0.389 0.057 0.000 0.000 0.097 0.000 0.000 0.162 27.033

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C F F A F F F B

verified

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

size

128 73 57 0 0 152 0 0 19 44

N.S.

1 0.57 0.45 0.00 0.00 1.19 0.00 0.00 0.15 0.34

time (sec)

N/A 0.300 0.034 0.000 0.000 0.093 0.000 0.000 0.167 26.885

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C F F B F F F B

verified

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

size

164 221 55 0 0 266 0 0 19 44

N.S.

1 1.35 0.34 0.00 0.00 1.62 0.00 0.00 0.12 0.27

time (sec)

N/A 0.343 0.032 0.000 0.000 0.096 0.000 0.000 0.174 26.535

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A C F F B F F F B

verified

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

size

189 247 55 0 0 323 0 0 19 44

N.S.

1 1.31 0.29 0.00 0.00 1.71 0.00 0.00 0.10 0.23

time (sec)

N/A 0.450 0.039 0.000 0.000 0.116 0.000 0.000 0.157 27.195

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 101 57 0 0 189 0 0 19 44

N.S.

1 0.65 0.37 0.00 0.00 1.22 0.00 0.00 0.12 0.28

time (sec)

N/A 0.396 0.039 0.000 0.000 0.099 0.000 0.000 0.166 26.597

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

155 101 57 0 0 219 0 0 19 44

N.S.

1 0.65 0.37 0.00 0.00 1.41 0.00 0.00 0.12 0.28

time (sec)

N/A 0.398 0.040 0.000 0.000 0.099 0.000 0.000 0.175 27.459

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 0 0 18 0 0 11 10

N.S.

1 1.00 1.00 0.00 0.00 1.12 0.00 0.00 0.69 0.62

time (sec)

N/A 0.182 0.015 0.000 0.000 0.080 0.000 0.000 0.162 26.198

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 0 0 10 0 0 11 94

N.S.

1 1.00 1.00 0.00 0.00 0.62 0.00 0.00 0.69 5.88

time (sec)

N/A 0.183 0.020 0.000 0.000 0.069 0.000 0.000 0.178 26.227

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A F F F F F F B

verified

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

size

80 80 79 0 0 0 0 0 19 71

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.24 0.89

time (sec)

N/A 0.239 0.119 0.000 0.000 0.000 0.000 0.000 0.167 27.764

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

85 85 82 0 0 0 0 0 23 0

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 0.27 0.00

time (sec)

N/A 0.246 0.131 0.000 0.000 0.000 0.000 0.000 0.171 0.000

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 85 0 0 0 0 0 23 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.28 0.00

time (sec)

N/A 0.238 0.084 0.000 0.000 0.000 0.000 0.000 0.211 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

88 88 85 0 0 0 0 0 26 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.30 0.00

time (sec)

N/A 0.244 0.105 0.000 0.000 0.000 0.000 0.000 0.171 0.000

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B B F B

verified

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

size

74 69 55 87 77 70 2040 248 23 132

N.S.

1 0.93 0.74 1.18 1.04 0.95 27.57 3.35 0.31 1.78

time (sec)

N/A 0.260 0.361 5.835 0.038 0.099 4.316 0.135 0.184 26.982

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B B F B

verified

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

size

50 48 48 50 53 46 525 118 23 62

N.S.

1 0.96 0.96 1.00 1.06 0.92 10.50 2.36 0.46 1.24

time (sec)

N/A 0.244 0.097 3.721 0.036 0.090 1.212 0.123 0.169 26.265

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B A B B

verified

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

size

24 24 25 25 24 24 56 24 26 25

N.S.

1 1.00 1.04 1.04 1.00 1.00 2.33 1.00 1.08 1.04

time (sec)

N/A 0.193 0.011 8.793 0.032 0.084 0.344 0.124 0.232 25.847

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 48 51 0 0 0 0 0 21 0

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 0.44 0.00

time (sec)

N/A 0.221 0.027 0.000 0.000 0.000 0.000 0.000 0.256 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 48 51 0 0 0 0 0 23 0

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 0.48 0.00

time (sec)

N/A 0.229 0.031 0.000 0.000 0.000 0.000 0.000 0.179 0.000

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 68 63 0 0 0 0 0 23 0

N.S.

1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 0.34 0.00

time (sec)

N/A 0.236 0.063 0.000 0.000 0.000 0.000 0.000 0.178 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 68 63 0 0 0 0 0 23 0

N.S.

1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 0.34 0.00

time (sec)

N/A 0.243 0.057 0.000 0.000 0.000 0.000 0.000 0.182 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 68 63 0 0 0 0 0 14 0

N.S.

1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 0.21 0.00

time (sec)

N/A 0.206 0.048 0.000 0.000 0.000 0.000 0.000 0.167 0.000

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 68 63 0 0 0 0 0 23 0

N.S.

1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 0.34 0.00

time (sec)

N/A 0.225 0.056 0.000 0.000 0.000 0.000 0.000 0.174 0.000

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 68 63 0 0 0 0 0 23 0

N.S.

1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 0.34 0.00

time (sec)

N/A 0.224 0.052 0.000 0.000 0.000 0.000 0.000 0.178 0.000

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 78 0 0 0 0 0 31 0

N.S.

1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 0.41 0.00

time (sec)

N/A 0.241 0.159 0.000 0.000 0.000 0.000 0.000 0.191 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 75 0 0 0 0 0 24 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.32 0.00

time (sec)

N/A 0.235 0.077 0.000 0.000 0.000 0.000 0.000 0.161 0.000

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 75 0 0 0 0 0 35 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.47 0.00

time (sec)

N/A 0.234 0.081 0.000 0.000 0.000 0.000 0.000 0.169 0.000

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 77 78 0 0 0 0 0 35 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.45 0.00

time (sec)

N/A 0.244 0.103 0.000 0.000 0.000 0.000 0.000 0.175 0.000

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 77 78 0 0 0 0 0 35 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.45 0.00

time (sec)

N/A 0.238 0.100 0.000 0.000 0.000 0.000 0.000 0.173 0.000

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B B F B

verified

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

size

76 70 83 87 78 84 2451 249 23 132

N.S.

1 0.92 1.09 1.14 1.03 1.11 32.25 3.28 0.30 1.74

time (sec)

N/A 0.253 0.696 6.385 0.038 0.082 4.448 0.133 0.190 26.891

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B B F B

verified

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

size

50 49 50 52 52 50 688 117 23 65

N.S.

1 0.98 1.00 1.04 1.04 1.00 13.76 2.34 0.46 1.30

time (sec)

N/A 0.242 0.399 3.116 0.036 0.102 1.251 0.127 0.241 0.510

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B A B B

verified

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

size

25 25 26 26 25 25 60 25 27 26

N.S.

1 1.00 1.04 1.04 1.00 1.00 2.40 1.00 1.08 1.04

time (sec)

N/A 0.195 0.013 6.727 0.026 0.080 0.346 0.117 0.156 0.182

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 49 52 0 0 0 0 0 21 0

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 0.43 0.00

time (sec)

N/A 0.220 0.305 0.000 0.000 0.000 0.000 0.000 0.163 0.000

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 49 154 0 0 0 0 0 23 0

N.S.

1 1.00 3.14 0.00 0.00 0.00 0.00 0.00 0.47 0.00

time (sec)

N/A 0.232 1.525 0.000 0.000 0.000 0.000 0.000 0.196 0.000

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 49 244 0 0 0 0 0 23 0

N.S.

1 1.00 4.98 0.00 0.00 0.00 0.00 0.00 0.47 0.00

time (sec)

N/A 0.227 2.086 0.000 0.000 0.000 0.000 0.000 0.172 0.000

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 69 68 0 0 0 0 0 23 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 0.231 0.496 0.000 0.000 0.000 0.000 0.000 0.176 0.000

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 69 68 0 0 0 0 0 23 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 0.226 0.318 0.000 0.000 0.000 0.000 0.000 0.169 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 69 64 0 0 0 0 0 14 0

N.S.

1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.204 0.056 0.000 0.000 0.000 0.000 0.000 0.173 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 69 80 0 0 0 0 0 23 0

N.S.

1 1.00 1.16 0.00 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 0.225 0.583 0.000 0.000 0.000 0.000 0.000 0.179 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 69 82 0 0 0 0 0 23 0

N.S.

1 1.00 1.19 0.00 0.00 0.00 0.00 0.00 0.33 0.00

time (sec)

N/A 0.224 0.523 0.000 0.000 0.000 0.000 0.000 0.191 0.000

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 76 158 0 0 0 0 0 35 0

N.S.

1 1.00 2.08 0.00 0.00 0.00 0.00 0.00 0.46 0.00

time (sec)

N/A 0.242 0.962 0.000 0.000 0.000 0.000 0.000 0.197 0.000

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 76 76 0 0 0 0 0 31 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.41 0.00

time (sec)

N/A 0.237 0.578 0.000 0.000 0.000 0.000 0.000 0.185 0.000

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 76 82 0 0 0 0 0 24 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.32 0.00

time (sec)

N/A 0.232 0.498 0.000 0.000 0.000 0.000 0.000 0.165 0.000

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 76 82 0 0 0 0 0 35 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.46 0.00

time (sec)

N/A 0.233 0.658 0.000 0.000 0.000 0.000 0.000 0.174 0.000

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

78 78 79 0 0 0 0 0 35 0

N.S.

1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 0.45 0.00

time (sec)

N/A 0.243 0.647 0.000 0.000 0.000 0.000 0.000 0.167 0.000

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

85 78 58 265 63 56 0 100 21 0

N.S.

1 0.92 0.68 3.12 0.74 0.66 0.00 1.18 0.25 0.00

time (sec)

N/A 0.252 0.921 12.404 0.036 0.100 0.000 0.134 0.175 0.000

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 58 48 253 50 46 0 77 21 0

N.S.

1 0.92 0.76 4.02 0.79 0.73 0.00 1.22 0.33 0.00

time (sec)

N/A 0.241 0.548 1.174 0.034 0.078 0.000 0.134 0.175 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 40 36 243 35 34 0 53 21 0

N.S.

1 0.98 0.88 5.93 0.85 0.83 0.00 1.29 0.51 0.00

time (sec)

N/A 0.234 0.482 1.418 0.035 0.075 0.000 0.133 0.167 0.000

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A F B

verified

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

size

18 18 18 17 23 23 0 22 19 23

N.S.

1 1.00 1.00 0.94 1.28 1.28 0.00 1.22 1.06 1.28

time (sec)

N/A 0.197 0.196 1.631 0.032 0.094 0.000 0.133 0.180 0.219

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 51 73 151 72 265 0 61 19 0

N.S.

1 0.88 1.26 2.60 1.24 4.57 0.00 1.05 0.33 0.00

time (sec)

N/A 0.234 0.474 2.838 0.113 0.141 0.000 0.134 0.190 0.000

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

93 90 95 462 106 373 0 98 21 0

N.S.

1 0.97 1.02 4.97 1.14 4.01 0.00 1.05 0.23 0.00

time (sec)

N/A 0.267 0.920 3.157 0.112 0.144 0.000 0.133 0.170 0.000

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 131 107 309 138 457 0 127 21 0

N.S.

1 1.07 0.87 2.51 1.12 3.72 0.00 1.03 0.17 0.00

time (sec)

N/A 0.481 1.251 2.805 0.112 0.144 0.000 0.134 0.175 0.000

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 133 73 117 0 106 0 0 21 0

N.S.

1 1.08 0.59 0.95 0.00 0.86 0.00 0.00 0.17 0.00

time (sec)

N/A 1.076 0.554 12.168 0.000 0.093 0.000 0.000 0.173 0.000

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 100 61 105 0 94 0 0 21 0

N.S.

1 1.05 0.64 1.11 0.00 0.99 0.00 0.00 0.22 0.00

time (sec)

N/A 0.768 0.443 4.645 0.000 0.111 0.000 0.000 0.245 0.000

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 67 51 96 0 83 0 0 21 0

N.S.

1 1.00 0.76 1.43 0.00 1.24 0.00 0.00 0.31 0.00

time (sec)

N/A 0.559 0.371 2.477 0.000 0.107 0.000 0.000 0.266 0.000

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C F C F F F B

verified

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

size

38 38 38 77 0 57 0 0 12 35

N.S.

1 1.00 1.00 2.03 0.00 1.50 0.00 0.00 0.32 0.92

time (sec)

N/A 0.392 0.060 2.174 0.000 0.087 0.000 0.000 0.171 0.168

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 62 47 87 0 98 0 0 21 0

N.S.

1 1.00 0.76 1.40 0.00 1.58 0.00 0.00 0.34 0.00

time (sec)

N/A 0.565 0.463 3.028 0.000 0.089 0.000 0.000 0.174 0.000

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 95 63 105 0 148 0 0 21 0

N.S.

1 1.00 0.66 1.11 0.00 1.56 0.00 0.00 0.22 0.00

time (sec)

N/A 0.780 0.561 3.582 0.000 0.094 0.000 0.000 0.194 0.000

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

123 128 73 117 0 187 0 0 21 0

N.S.

1 1.04 0.59 0.95 0.00 1.52 0.00 0.00 0.17 0.00

time (sec)

N/A 1.037 0.972 4.845 0.000 0.131 0.000 0.000 0.185 0.000

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 76 52 255 72 54 0 98 28 0

N.S.

1 0.92 0.63 3.07 0.87 0.65 0.00 1.18 0.34 0.00

time (sec)

N/A 0.416 0.648 6.644 0.035 0.093 0.000 0.138 0.207 0.000

Problem 386

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 58 42 247 55 43 0 75 28 0

N.S.

1 0.92 0.67 3.92 0.87 0.68 0.00 1.19 0.44 0.00

time (sec)

N/A 0.405 0.412 1.372 0.035 0.079 0.000 0.141 0.194 0.000

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 40 30 236 37 31 0 46 28 0

N.S.

1 0.98 0.73 5.76 0.90 0.76 0.00 1.12 0.68 0.00

time (sec)

N/A 0.396 0.375 1.302 0.036 0.108 0.000 0.132 0.199 0.000

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A F A F B

verified

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

size

18 18 18 17 23 18 0 25 26 18

N.S.

1 1.00 1.00 0.94 1.28 1.00 0.00 1.39 1.44 1.00

time (sec)

N/A 0.319 0.179 0.465 0.034 0.092 0.000 0.133 0.200 25.890

Problem 389

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 71 85 208 87 298 0 75 26 0

N.S.

1 0.92 1.10 2.70 1.13 3.87 0.00 0.97 0.34 0.00

time (sec)

N/A 0.415 0.528 2.175 0.117 0.121 0.000 0.134 0.186 0.000

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 110 97 295 123 407 0 127 28 0

N.S.

1 0.97 0.86 2.61 1.09 3.60 0.00 1.12 0.25 0.00

time (sec)

N/A 0.459 1.111 2.335 0.120 0.147 0.000 0.136 0.200 0.000

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 132 70 229 0 108 0 0 28 0

N.S.

1 1.03 0.55 1.79 0.00 0.84 0.00 0.00 0.22 0.00

time (sec)

N/A 1.137 0.687 7.043 0.000 0.100 0.000 0.000 0.183 0.000

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 99 60 213 0 98 0 0 28 0

N.S.

1 1.01 0.61 2.17 0.00 1.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.778 0.484 4.794 0.000 0.093 0.000 0.000 0.183 0.000

Problem 393

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 48 193 0 85 0 0 28 0

N.S.

1 1.00 0.73 2.92 0.00 1.29 0.00 0.00 0.42 0.00

time (sec)

N/A 0.574 0.349 2.537 0.000 0.093 0.000 0.000 0.204 0.000

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 48 184 0 84 0 0 20 0

N.S.

1 1.00 0.73 2.79 0.00 1.27 0.00 0.00 0.30 0.00

time (sec)

N/A 0.533 0.086 2.197 0.000 0.121 0.000 0.000 0.181 0.000

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

90 95 57 159 0 113 0 0 28 0

N.S.

1 1.06 0.63 1.77 0.00 1.26 0.00 0.00 0.31 0.00

time (sec)

N/A 0.746 0.498 3.041 0.000 0.088 0.000 0.000 0.203 0.000

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

124 128 77 169 0 167 0 0 28 0

N.S.

1 1.03 0.62 1.36 0.00 1.35 0.00 0.00 0.23 0.00

time (sec)

N/A 1.010 0.639 4.049 0.000 0.112 0.000 0.000 0.205 0.000

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

85 78 52 264 66 70 0 100 32 0

N.S.

1 0.92 0.61 3.11 0.78 0.82 0.00 1.18 0.38 0.00

time (sec)

N/A 0.412 1.098 5.460 0.037 0.101 0.000 0.138 0.203 0.000

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 58 42 254 52 57 0 74 32 0

N.S.

1 0.92 0.67 4.03 0.83 0.90 0.00 1.17 0.51 0.00

time (sec)

N/A 0.396 0.774 1.862 0.061 0.121 0.000 0.134 0.212 0.000

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 40 32 260 36 42 0 49 32 50

N.S.

1 0.98 0.78 6.34 0.88 1.02 0.00 1.20 0.78 1.22

time (sec)

N/A 0.393 0.529 50.892 0.035 0.099 0.000 0.128 0.197 26.267

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 17 23 28 0 33 30 39

N.S.

1 1.00 1.00 0.85 1.15 1.40 0.00 1.65 1.50 1.95

time (sec)

N/A 0.332 0.160 3.941 0.039 0.079 0.000 0.140 0.204 25.995