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2.2.4 Integrals 301 to 387

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 Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 65 272 0 91 0 0 0

N.S.

1 1.00 0.74 3.09 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 0.512 0.565 2.668 0.000 0.089 0.000 0.000 0.000

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

167 107 66 292 0 741 0 0 0

N.S.

1 0.64 0.40 1.75 0.00 4.44 0.00 0.00 0.00

time (sec)

N/A 0.389 0.703 19.504 0.000 0.548 0.000 0.000 0.000

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 96 67 272 0 104 0 0 0

N.S.

1 1.00 0.70 2.83 0.00 1.08 0.00 0.00 0.00

time (sec)

N/A 0.532 0.641 2.550 0.000 0.089 0.000 0.000 0.000

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 34 43 38 0 58 53 0 65

N.S.

1 1.00 1.26 1.12 0.00 1.71 1.56 0.00 1.91

time (sec)

N/A 0.238 0.949 1.456 0.000 0.250 45.793 0.000 3.706

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 138 81 292 0 116 0 0 0

N.S.

1 1.05 0.62 2.23 0.00 0.89 0.00 0.00 0.00

time (sec)

N/A 0.730 0.932 3.122 0.000 0.092 0.000 0.000 0.000

Problem 306

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

103 115 55 50 0 70 0 0 78

N.S.

1 1.12 0.53 0.49 0.00 0.68 0.00 0.00 0.76

time (sec)

N/A 0.536 0.994 1.403 0.000 0.279 0.000 0.000 3.955

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

208 170 153 300 0 852 0 0 0

N.S.

1 0.82 0.74 1.44 0.00 4.10 0.00 0.00 0.00

time (sec)

N/A 0.671 2.331 169.046 0.000 0.447 0.000 0.000 0.000

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 133 80 487 0 155 0 0 0

N.S.

1 1.02 0.61 3.72 0.00 1.18 0.00 0.00 0.00

time (sec)

N/A 0.721 0.737 1.891 0.000 0.093 0.000 0.000 0.000

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

169 125 130 233 0 788 0 0 0

N.S.

1 0.74 0.77 1.38 0.00 4.66 0.00 0.00 0.00

time (sec)

N/A 0.483 0.738 12.085 0.000 0.386 0.000 0.000 0.000

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 65 471 0 114 0 0 0

N.S.

1 1.00 0.74 5.35 0.00 1.30 0.00 0.00 0.00

time (sec)

N/A 0.503 0.635 2.212 0.000 0.095 0.000 0.000 0.000

Problem 311

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 No Yes Yes TBD TBD TBD TBD TBD

size

168 125 140 168 0 766 0 0 0

N.S.

1 0.74 0.83 1.00 0.00 4.56 0.00 0.00 0.00

time (sec)

N/A 0.517 1.012 10.714 0.000 0.593 0.000 0.000 0.000

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

96 96 79 458 0 122 0 0 0

N.S.

1 1.00 0.82 4.77 0.00 1.27 0.00 0.00 0.00

time (sec)

N/A 0.524 0.836 1.852 0.000 0.093 0.000 0.000 0.000

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 34 45 40 0 68 0 0 72

N.S.

1 1.00 1.32 1.18 0.00 2.00 0.00 0.00 2.12

time (sec)

N/A 0.241 0.878 1.392 0.000 0.246 0.000 0.000 3.923

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 138 91 472 0 137 0 0 0

N.S.

1 1.05 0.69 3.60 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 0.740 1.266 2.188 0.000 0.104 0.000 0.000 0.000

Problem 315

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 No Yes Yes TBD TBD TBD TBD TBD

size

178 130 133 203 0 782 0 0 0

N.S.

1 0.73 0.75 1.14 0.00 4.39 0.00 0.00 0.00

time (sec)

N/A 0.547 1.031 12.214 0.000 0.421 0.000 0.000 0.000

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

92 92 83 239 0 100 0 0 0

N.S.

1 1.00 0.90 2.60 0.00 1.09 0.00 0.00 0.00

time (sec)

N/A 0.522 0.657 1.873 0.000 0.082 0.000 0.000 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

131 88 99 133 0 653 0 0 0

N.S.

1 0.67 0.76 1.02 0.00 4.98 0.00 0.00 0.00

time (sec)

N/A 0.376 0.674 10.273 0.000 0.388 0.000 0.000 0.000

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 68 130 0 58 0 0 0

N.S.

1 1.00 1.24 2.36 0.00 1.05 0.00 0.00 0.00

time (sec)

N/A 0.354 0.541 2.008 0.000 0.081 0.000 0.000 0.000

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 32 32 0 47 51 0 52

N.S.

1 1.00 1.00 1.00 0.00 1.47 1.59 0.00 1.62

time (sec)

N/A 0.230 0.627 1.273 0.000 0.241 4.291 0.000 3.505

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

95 95 70 239 0 101 0 0 0

N.S.

1 1.00 0.74 2.52 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 0.504 0.737 1.929 0.000 0.092 0.000 0.000 0.000

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 72 50 45 0 58 88 0 64

N.S.

1 1.00 0.69 0.62 0.00 0.81 1.22 0.00 0.89

time (sec)

N/A 0.351 0.798 1.522 0.000 0.240 57.254 0.000 3.721

Problem 322

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 No Yes Yes TBD TBD TBD TBD TBD

size

171 128 118 239 0 794 0 0 0

N.S.

1 0.75 0.69 1.40 0.00 4.64 0.00 0.00 0.00

time (sec)

N/A 0.521 1.076 12.633 0.000 0.411 0.000 0.000 0.000

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

97 97 80 365 0 130 0 0 0

N.S.

1 1.00 0.82 3.76 0.00 1.34 0.00 0.00 0.00

time (sec)

N/A 0.528 0.816 1.978 0.000 0.086 0.000 0.000 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 32 29 0 52 53 0 46

N.S.

1 1.00 1.00 0.91 0.00 1.62 1.66 0.00 1.44

time (sec)

N/A 0.230 0.436 1.446 0.000 0.242 1.581 0.000 3.690

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 91 78 365 0 129 0 0 0

N.S.

1 1.00 0.86 4.01 0.00 1.42 0.00 0.00 0.00

time (sec)

N/A 0.504 0.644 2.239 0.000 0.092 0.000 0.000 0.000

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 67 52 47 0 66 90 0 60

N.S.

1 0.93 0.72 0.65 0.00 0.92 1.25 0.00 0.83

time (sec)

N/A 0.386 0.604 1.474 0.000 0.243 26.170 0.000 3.861

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

130 133 89 452 0 141 0 0 0

N.S.

1 1.02 0.68 3.48 0.00 1.08 0.00 0.00 0.00

time (sec)

N/A 0.711 0.889 2.451 0.000 0.104 0.000 0.000 0.000

Problem 328

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 No Yes Yes TBD TBD TBD TBD TBD

size

172 130 151 235 0 850 0 0 0

N.S.

1 0.76 0.88 1.37 0.00 4.94 0.00 0.00 0.00

time (sec)

N/A 0.556 1.225 17.886 0.000 0.468 0.000 0.000 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 101 81 151 0 154 0 0 0

N.S.

1 1.00 0.80 1.50 0.00 1.52 0.00 0.00 0.00

time (sec)

N/A 0.534 0.922 2.270 0.000 0.092 0.000 0.000 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 34 34 36 0 61 54 0 55

N.S.

1 1.00 1.00 1.06 0.00 1.79 1.59 0.00 1.62

time (sec)

N/A 0.231 0.609 1.267 0.000 0.270 44.265 0.000 4.114

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

95 95 80 239 0 136 0 0 0

N.S.

1 1.00 0.84 2.52 0.00 1.43 0.00 0.00 0.00

time (sec)

N/A 0.498 0.820 2.069 0.000 0.090 0.000 0.000 0.000

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 69 44 52 0 75 92 0 81

N.S.

1 1.00 0.64 0.75 0.00 1.09 1.33 0.00 1.17

time (sec)

N/A 0.336 0.789 1.356 0.000 0.266 56.796 0.000 4.306

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

132 135 95 259 0 153 0 0 0

N.S.

1 1.02 0.72 1.96 0.00 1.16 0.00 0.00 0.00

time (sec)

N/A 0.719 1.086 2.092 0.000 0.100 0.000 0.000 0.000

Problem 334

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

106 114 65 66 0 89 0 0 93

N.S.

1 1.08 0.61 0.62 0.00 0.84 0.00 0.00 0.88

time (sec)

N/A 0.463 1.125 1.390 0.000 0.260 0.000 0.000 5.107

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 64 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 0.227 0.076 0.000 0.000 0.000 0.000 0.000 0.000

Problem 336

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

64 64 62 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.236 0.061 0.000 0.000 0.000 0.000 0.000 0.000

Problem 337

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

64 64 62 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.230 0.075 0.000 0.000 0.000 0.000 0.000 0.000

Problem 338

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

64 64 64 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 0.229 0.086 0.000 0.000 0.000 0.000 0.000 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 64 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 0.235 0.113 0.000 0.000 0.000 0.000 0.000 0.000

Problem 340

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

64 64 62 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.224 0.097 0.000 0.000 0.000 0.000 0.000 0.000

Problem 341

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

64 64 69 0 0 0 0 0 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.238 0.050 0.000 0.000 0.000 0.000 0.000 0.000

Problem 342

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

64 64 71 0 0 0 0 0 0

N.S.

1 1.00 1.11 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.244 0.057 0.000 0.000 0.000 0.000 0.000 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 62 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.231 0.101 0.000 0.000 0.000 0.000 0.000 0.000

Problem 344

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

64 64 62 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.223 0.064 0.000 0.000 0.000 0.000 0.000 0.000

Problem 345

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

64 64 62 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.228 0.089 0.000 0.000 0.000 0.000 0.000 0.000

Problem 346

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

62 62 62 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 0.237 0.171 0.000 0.000 0.000 0.000 0.000 0.000

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 64 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 0.227 0.107 0.000 0.000 0.000 0.000 0.000 0.000

Problem 348

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

64 64 64 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 0.226 0.063 0.000 0.000 0.000 0.000 0.000 0.000

Problem 349

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

64 64 64 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 0.080 0.000 0.000 0.000 0.000 0.000 0.000

Problem 350

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

62 62 64 0 0 0 0 0 0

N.S.

1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.229 0.157 0.000 0.000 0.000 0.000 0.000 0.000

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

67 66 62 6067 77 80 0 0 199

N.S.

1 0.99 0.93 90.55 1.15 1.19 0.00 0.00 2.97

time (sec)

N/A 0.244 0.329 8.101 0.327 0.261 0.000 0.000 8.878

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

43 45 37 2423 51 50 0 0 87

N.S.

1 1.05 0.86 56.35 1.19 1.16 0.00 0.00 2.02

time (sec)

N/A 0.247 0.151 2.058 0.361 0.258 0.000 0.000 4.058

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 17 17 18 20 19 42 0 19

N.S.

1 1.00 1.00 1.06 1.18 1.12 2.47 0.00 1.12

time (sec)

N/A 0.194 0.056 0.462 0.538 0.281 0.165 0.000 0.137

Problem 354

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

40 40 40 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 0.226 0.051 0.000 0.000 0.000 0.000 0.000 0.000

Problem 355

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

39 39 39 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 0.226 0.123 0.000 0.000 0.000 0.000 0.000 0.000

Problem 356

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

40 40 40 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 0.183 0.000 0.000 0.000 0.000 0.000 0.000

Problem 357

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 61 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.226 0.174 0.000 0.000 0.000 0.000 0.000 0.000

Problem 358

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 61 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.234 0.149 0.000 0.000 0.000 0.000 0.000 0.000

Problem 359

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

59 59 62 0 0 0 0 0 0

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.220 0.184 0.000 0.000 0.000 0.000 0.000 0.000

Problem 360

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 61 0 0 0 0 0 0

N.S.

1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.221 0.164 0.000 0.000 0.000 0.000 0.000 0.000

Problem 361

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 62 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 0.230 0.438 0.000 0.000 0.000 0.000 0.000 0.000

Problem 362

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

82 82 80 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 0.237 0.110 0.000 0.000 0.000 0.000 0.000 0.000

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 69 101 88 77 85 0 0 0

N.S.

1 0.93 1.36 1.19 1.04 1.15 0.00 0.00 0.00

time (sec)

N/A 0.269 1.615 0.339 0.290 0.265 0.000 0.000 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

49 47 78 58 51 61 0 0 139

N.S.

1 0.96 1.59 1.18 1.04 1.24 0.00 0.00 2.84

time (sec)

N/A 0.255 0.863 56.741 0.283 0.259 0.000 0.000 4.538

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 25 25 24 40 0 0 49

N.S.

1 1.00 1.04 1.04 1.00 1.67 0.00 0.00 2.04

time (sec)

N/A 0.217 0.015 2.755 0.386 0.251 0.000 0.000 3.278

Problem 366

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

50 50 51 0 0 0 0 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.221 0.078 0.000 0.000 0.000 0.000 0.000 0.000

Problem 367

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

50 50 51 0 0 0 0 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.231 0.399 0.000 0.000 0.000 0.000 0.000 0.000

Problem 368

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

50 50 51 0 0 0 0 0 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.233 0.341 0.000 0.000 0.000 0.000 0.000 0.000

Problem 369

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

78 78 72 0 0 0 0 0 0

N.S.

1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.247 0.068 0.000 0.000 0.000 0.000 0.000 0.000

Problem 370

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

78 78 72 0 0 0 0 0 0

N.S.

1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.238 0.067 0.000 0.000 0.000 0.000 0.000 0.000

Problem 371

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

76 76 64 0 0 0 0 0 0

N.S.

1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.224 0.051 0.000 0.000 0.000 0.000 0.000 0.000

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

72 72 452 0 0 0 0 0 0

N.S.

1 1.00 6.28 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.225 2.016 0.000 0.000 0.000 0.000 0.000 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

78 78 1313 0 0 0 0 0 0

N.S.

1 1.00 16.83 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.239 4.847 0.000 0.000 0.000 0.000 0.000 0.000

Problem 374

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

40 40 52 0 0 0 0 0 0

N.S.

1 1.00 1.30 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.234 0.143 0.000 0.000 0.000 0.000 0.000 0.000

Problem 375

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

39 39 52 0 0 0 0 0 0

N.S.

1 1.00 1.33 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.229 0.046 0.000 0.000 0.000 0.000 0.000 0.000

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 18 19 21 20 54 20 43

N.S.

1 1.00 1.00 1.06 1.17 1.11 3.00 1.11 2.39

time (sec)

N/A 0.200 0.022 0.281 0.623 0.263 0.179 0.354 3.254

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

43 46 36 3514 50 60 0 0 92

N.S.

1 1.07 0.84 81.72 1.16 1.40 0.00 0.00 2.14

time (sec)

N/A 0.248 0.066 1.159 0.308 0.268 0.000 0.000 4.149

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

69 67 63 8846 78 115 0 0 222

N.S.

1 0.97 0.91 128.20 1.13 1.67 0.00 0.00 3.22

time (sec)

N/A 0.260 0.245 2.139 0.285 0.260 0.000 0.000 8.935

Problem 379

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

63 63 240 0 0 0 0 0 0

N.S.

1 1.00 3.81 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.230 8.730 0.000 0.000 0.000 0.000 0.000 0.000

Problem 380

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

58 58 79 0 0 0 0 0 0

N.S.

1 1.00 1.36 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.224 1.474 0.000 0.000 0.000 0.000 0.000 0.000

Problem 381

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

63 63 186 0 0 0 0 0 0

N.S.

1 1.00 2.95 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.217 1.145 0.000 0.000 0.000 0.000 0.000 0.000

Problem 382

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 63 106 0 0 0 0 0 0

N.S.

1 1.00 1.68 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.230 0.561 0.000 0.000 0.000 0.000 0.000 0.000

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

79 79 87 0 0 0 0 0 0

N.S.

1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.486 1.068 0.000 0.000 0.000 0.000 0.000 0.000

Problem 384

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

79 79 87 0 0 0 0 0 0

N.S.

1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.447 0.711 0.000 0.000 0.000 0.000 0.000 0.000

Problem 385

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

79 79 87 0 0 0 0 0 0

N.S.

1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.445 0.735 0.000 0.000 0.000 0.000 0.000 0.000

Problem 386

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

79 79 87 0 0 0 0 0 0

N.S.

1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.474 0.790 0.000 0.000 0.000 0.000 0.000 0.000

Problem 387

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

89 89 287 0 0 0 0 0 0

N.S.

1 1.00 3.22 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.488 2.004 0.000 0.000 0.000 0.000 0.000 0.000

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