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2.2.3 Integrals 201 to 254

Detailed conclusion table per each integral is given by 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 just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 201

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A F F F F F(-1) F F

verified

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

size

410 410 0 0 0 0 0 0 -1

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.693 0.432 0.079 0.000 0.000 0.000 0.000 0.000

Problem 202

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

68 68 80 63 371 69 410 61 105

N.S.

1 1.00 1.18 0.93 5.46 1.01 6.03 0.90 1.54

time (sec)

N/A 0.041 0.371 0.214 0.314 3.171 0.851 0.406 0.751

Problem 203

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

88 88 106 83 620 118 1027 80 177

N.S.

1 1.00 1.20 0.94 7.05 1.34 11.67 0.91 2.01

time (sec)

N/A 0.047 0.831 0.178 0.307 3.073 1.927 0.410 0.886

Problem 204

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

144 144 158 133 1362 192 2006 129 469

N.S.

1 1.00 1.10 0.92 9.46 1.33 13.93 0.90 3.26

time (sec)

N/A 0.076 1.610 0.231 0.372 2.158 6.588 0.426 1.873

Problem 205

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A F F F F F(-1) F F

verified

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

size

600 600 0 0 0 0 0 0 -1

N.S.

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 1.186 0.604 0.086 0.000 0.000 0.000 0.000 0.000

Problem 206

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

97 97 91 90 789 115 937 89 494

N.S.

1 1.00 0.94 0.93 8.13 1.19 9.66 0.92 5.09

time (sec)

N/A 0.058 0.584 0.224 0.333 2.827 2.385 0.433 1.717

Problem 207

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

138 138 153 127 1360 189 2020 124 437

N.S.

1 1.00 1.11 0.92 9.86 1.37 14.64 0.90 3.17

time (sec)

N/A 0.073 1.648 0.220 0.355 2.226 6.558 0.409 2.127

Problem 208

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

195 195 177 184 2612 291 3580 181 997

N.S.

1 1.00 0.91 0.94 13.39 1.49 18.36 0.93 5.11

time (sec)

N/A 0.097 1.709 0.382 0.437 1.957 21.217 0.421 4.315

Problem 209

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F(-1) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

277 277 203 0 0 0 0 0 -1

N.S.

1 1.00 0.73 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.407 0.931 0.027 0.000 0.000 0.000 0.000 0.000

Problem 210

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

91 91 87 84 912 106 921 84 297

N.S.

1 1.00 0.96 0.92 10.02 1.16 10.12 0.92 3.26

time (sec)

N/A 0.048 0.529 0.184 0.324 2.105 2.361 0.393 1.615

Problem 211

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

62 62 71 57 414 66 408 56 97

N.S.

1 1.00 1.15 0.92 6.68 1.06 6.58 0.90 1.56

time (sec)

N/A 0.034 0.834 0.208 0.304 2.963 0.800 0.413 0.767

Problem 212

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 43 40 40 42 155 40 85

N.S.

1 1.00 1.00 0.93 0.93 0.98 3.60 0.93 1.98

time (sec)

N/A 0.026 0.210 0.116 0.265 3.971 0.317 0.415 0.842

Problem 213

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 27 161 73 31 435 158 112

N.S.

1 1.00 1.00 5.96 2.70 1.15 16.11 5.85 4.15

time (sec)

N/A 0.012 0.169 0.398 0.289 3.872 5.171 0.438 0.894

Problem 214

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

34 34 88 346 387 69 5545 248 254

N.S.

1 1.00 2.59 10.18 11.38 2.03 163.09 7.29 7.47

time (sec)

N/A 0.021 0.110 0.649 0.551 2.916 91.129 0.437 5.345

Problem 215

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 34 121 391 42 0 174 -1

N.S.

1 1.00 0.89 3.18 10.29 1.11 0.00 4.58 -0.03

time (sec)

N/A 0.030 0.200 0.973 0.289 3.599 0.000 0.422 0.000

Problem 216

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B A F(-1) B F(-1)

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

67 67 64 1782 1424 94 0 495 -1

N.S.

1 1.00 0.96 26.60 21.25 1.40 0.00 7.39 -0.01

time (sec)

N/A 0.035 0.482 2.023 0.586 2.172 0.000 0.437 0.000

Problem 217

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B A F(-1) B F(-1)

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

59 59 48 324 1074 53 0 327 -1

N.S.

1 1.00 0.81 5.49 18.20 0.90 0.00 5.54 -0.02

time (sec)

N/A 0.031 0.371 2.681 0.291 3.019 0.000 0.428 0.000

Problem 218

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B A F(-1) B F(-1)

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

94 94 78 6742 3096 107 0 756 -1

N.S.

1 1.00 0.83 71.72 32.94 1.14 0.00 8.04 -0.01

time (sec)

N/A 0.044 1.046 6.898 0.690 2.948 0.000 0.441 0.000

Problem 219

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F(-1) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

386 386 249 0 0 0 0 0 -1

N.S.

1 1.00 0.65 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.485 2.195 0.074 0.000 0.000 0.000 0.000 0.000

Problem 220

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

68 68 76 63 371 70 410 61 105

N.S.

1 1.00 1.12 0.93 5.46 1.03 6.03 0.90 1.54

time (sec)

N/A 0.038 0.857 0.233 0.286 3.622 0.790 0.440 0.809

Problem 221

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

88 88 108 83 620 108 1027 80 177

N.S.

1 1.00 1.23 0.94 7.05 1.23 11.67 0.91 2.01

time (sec)

N/A 0.050 0.806 0.181 0.316 2.932 1.874 0.442 0.929

Problem 222

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

144 144 158 133 1362 174 2006 129 495

N.S.

1 1.00 1.10 0.92 9.46 1.21 13.93 0.90 3.44

time (sec)

N/A 0.069 1.847 0.253 0.352 1.706 6.635 0.417 1.969

Problem 223

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F(-1) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

568 568 355 0 0 0 0 0 -1

N.S.

1 1.00 0.62 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.843 32.932 0.082 0.000 0.000 0.000 0.000 0.000

Problem 224

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

97 97 90 90 785 116 937 89 471

N.S.

1 1.00 0.93 0.93 8.09 1.20 9.66 0.92 4.86

time (sec)

N/A 0.050 0.562 0.185 0.319 3.763 2.268 0.415 1.613

Problem 225

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

138 138 153 127 1360 179 2030 124 438

N.S.

1 1.00 1.11 0.92 9.86 1.30 14.71 0.90 3.17

time (sec)

N/A 0.067 1.654 0.219 0.329 3.260 6.343 0.425 2.032

Problem 226

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

195 195 176 184 2612 264 3582 181 951

N.S.

1 1.00 0.90 0.94 13.39 1.35 18.37 0.93 4.88

time (sec)

N/A 0.096 1.602 0.332 0.413 2.775 20.858 0.412 4.136

Problem 227

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B B A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 58 162 106 30 335 482 115

N.S.

1 1.00 2.15 6.00 3.93 1.11 12.41 17.85 4.26

time (sec)

N/A 0.010 0.202 0.384 0.289 2.648 3.999 0.436 0.703

Problem 228

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B B B B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 90 408 450 71 3264 893 252

N.S.

1 1.00 2.57 11.66 12.86 2.03 93.26 25.51 7.20

time (sec)

N/A 0.022 0.108 0.667 0.303 1.972 60.012 0.538 5.210

Problem 229

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A F(-1) B F(-1)

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 35 55 395 45 0 327 -1

N.S.

1 1.00 0.92 1.45 10.39 1.18 0.00 8.61 -0.03

time (sec)

N/A 0.030 0.231 0.865 0.273 2.120 0.000 0.456 0.000

Problem 230

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 70 186 1027 376 0 0 -1

N.S.

1 1.00 0.97 2.58 14.26 5.22 0.00 0.00 -0.01

time (sec)

N/A 0.055 0.418 0.164 0.573 2.586 0.000 0.000 0.000

Problem 231

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

44 44 109 143 520 315 0 0 294

N.S.

1 1.00 2.48 3.25 11.82 7.16 0.00 0.00 6.68

time (sec)

N/A 0.026 0.112 0.123 0.551 1.753 0.000 0.000 5.306

Problem 232

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 94 99 131 188 0 0 227

N.S.

1 1.00 3.24 3.41 4.52 6.48 0.00 0.00 7.83

time (sec)

N/A 0.012 0.057 0.095 0.532 2.019 0.000 0.000 5.487

Problem 233

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 93 95 105 197 0 226 233

N.S.

1 1.00 3.21 3.28 3.62 6.79 0.00 7.79 8.03

time (sec)

N/A 0.015 0.066 0.107 0.293 2.075 0.000 0.410 4.846

Problem 234

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

46 46 111 143 612 316 0 577 290

N.S.

1 1.00 2.41 3.11 13.30 6.87 0.00 12.54 6.30

time (sec)

N/A 0.028 0.116 0.138 0.301 2.212 0.000 0.447 5.262

Problem 235

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

74 74 71 184 1254 372 0 870 -1

N.S.

1 1.00 0.96 2.49 16.95 5.03 0.00 11.76 -0.01

time (sec)

N/A 0.055 0.412 0.161 0.319 2.302 0.000 0.452 0.000

Problem 236

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

143 143 116 0 0 0 0 0 -1

N.S.

1 1.00 0.81 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.083 1.446 0.035 0.000 0.000 0.000 0.000 0.000

Problem 237

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

139 139 260 0 0 0 0 0 -1

N.S.

1 1.00 1.87 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.088 3.141 0.039 0.000 0.000 0.000 0.000 0.000

Problem 238

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

91 91 85 84 914 109 921 84 313

N.S.

1 1.00 0.93 0.92 10.04 1.20 10.12 0.92 3.44

time (sec)

N/A 0.049 0.548 0.217 0.337 2.010 2.295 0.388 1.949

Problem 239

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

62 62 69 57 416 63 408 56 98

N.S.

1 1.00 1.11 0.92 6.71 1.02 6.58 0.90 1.58

time (sec)

N/A 0.036 0.813 0.229 0.339 2.385 0.800 0.390 1.017

Problem 240

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 43 40 40 42 153 40 84

N.S.

1 1.00 1.00 0.93 0.93 0.98 3.56 0.93 1.95

time (sec)

N/A 0.026 0.199 0.129 0.276 2.745 0.317 0.393 1.295

Problem 241

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 26 161 74 31 435 440 109

N.S.

1 1.00 1.00 6.19 2.85 1.19 16.73 16.92 4.19

time (sec)

N/A 0.011 0.140 0.408 0.295 2.144 5.128 0.441 1.039

Problem 242

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B B A B B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

35 35 89 407 391 69 5545 1341 246

N.S.

1 1.00 2.54 11.63 11.17 1.97 158.43 38.31 7.03

time (sec)

N/A 0.020 0.099 0.688 0.561 1.314 88.158 0.499 6.525

Problem 243

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 35 56 382 40 0 315 -1

N.S.

1 1.00 0.92 1.47 10.05 1.05 0.00 8.29 -0.03

time (sec)

N/A 0.032 0.223 0.899 0.287 2.048 0.000 0.458 0.000

Problem 244

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

144 144 158 133 1362 163 2003 129 495

N.S.

1 1.00 1.10 0.92 9.46 1.13 13.91 0.90 3.44

time (sec)

N/A 0.069 1.659 0.276 0.348 1.672 6.531 0.407 2.445

Problem 245

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

88 88 105 83 620 105 1027 80 177

N.S.

1 1.00 1.19 0.94 7.05 1.19 11.67 0.91 2.01

time (sec)

N/A 0.049 0.775 0.176 0.304 2.592 1.904 0.406 1.058

Problem 246

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

195 195 176 184 2614 240 3582 181 999

N.S.

1 1.00 0.90 0.94 13.41 1.23 18.37 0.93 5.12

time (sec)

N/A 0.093 1.711 0.379 0.424 3.146 21.025 0.418 4.542

Problem 247

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 70 181 1027 366 0 0 -1

N.S.

1 1.00 0.97 2.51 14.26 5.08 0.00 0.00 -0.01

time (sec)

N/A 0.052 0.406 0.160 0.592 3.094 0.000 0.000 0.000

Problem 248

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

46 46 111 149 526 316 0 0 285

N.S.

1 1.00 2.41 3.24 11.43 6.87 0.00 0.00 6.20

time (sec)

N/A 0.030 0.100 0.126 0.550 2.656 0.000 0.000 5.243

Problem 249

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 93 97 131 196 0 0 237

N.S.

1 1.00 3.10 3.23 4.37 6.53 0.00 0.00 7.90

time (sec)

N/A 0.011 0.066 0.098 0.546 3.163 0.000 0.000 4.727

Problem 250

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 94 93 105 190 0 234 231

N.S.

1 1.00 3.24 3.21 3.62 6.55 0.00 8.07 7.97

time (sec)

N/A 0.011 0.059 0.127 0.282 2.742 0.000 0.431 5.386

Problem 251

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C C B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

46 46 112 145 613 316 0 627 289

N.S.

1 1.00 2.43 3.15 13.33 6.87 0.00 13.63 6.28

time (sec)

N/A 0.026 0.108 0.151 0.307 3.229 0.000 0.447 5.439

Problem 252

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

73 73 71 179 1254 385 0 963 -1

N.S.

1 1.00 0.97 2.45 17.18 5.27 0.00 13.19 -0.01

time (sec)

N/A 0.053 0.368 0.165 0.319 3.544 0.000 0.462 0.000

Problem 253

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

134 134 197 0 0 0 0 0 -1

N.S.

1 1.00 1.47 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.085 1.709 0.038 0.000 0.000 0.000 0.000 0.000

Problem 254

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

130 130 108 0 0 0 0 0 -1

N.S.

1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.085 1.876 0.046 0.000 0.000 0.000 0.000 0.000

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