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Integrals 301 to 369

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 A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 83 62 45 68 113 139 60 58

N.S.

1 1.00 0.75 0.54 0.82 1.36 1.67 0.72 0.70

time (sec)

N/A 0.026 0.037 1.637 0.180 0.276 2.058 0.263 0.528

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 45 47 53 95 207 57 42

N.S.

1 1.00 0.79 0.82 0.93 1.67 3.63 1.00 0.74

time (sec)

N/A 0.025 0.030 0.707 0.214 0.278 0.835 0.272 1.513

Problem 303

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

49 49 39 35 40 54 78 34 36

N.S.

1 1.00 0.80 0.71 0.82 1.10 1.59 0.69 0.73

time (sec)

N/A 0.020 0.019 0.326 0.207 0.311 0.393 0.259 1.339

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 23 23 19 24 50 63 24 18

N.S.

1 1.00 1.00 0.83 1.04 2.17 2.74 1.04 0.78

time (sec)

N/A 0.011 0.012 0.173 0.185 0.275 0.184 0.305 0.072

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 19 17 27 30 0 24 16

N.S.

1 1.00 1.00 0.89 1.42 1.58 0.00 1.26 0.84

time (sec)

N/A 0.013 0.011 0.124 0.180 0.263 0.000 0.275 0.073

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

42 42 37 25 52 157 0 48 52

N.S.

1 1.00 0.88 0.60 1.24 3.74 0.00 1.14 1.24

time (sec)

N/A 0.020 0.042 0.369 0.190 0.275 0.000 0.271 1.347

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 31 29 24 68 88 0 31 31

N.S.

1 1.00 0.94 0.77 2.19 2.84 0.00 1.00 1.00

time (sec)

N/A 0.019 0.014 1.562 0.210 0.269 0.000 0.264 1.307

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 101 75 37 100 705 0 75 135

N.S.

1 1.00 0.74 0.37 0.99 6.98 0.00 0.74 1.34

time (sec)

N/A 0.039 0.048 2.311 0.214 0.276 0.000 0.272 1.320

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 44 35 172 233 0 42 42

N.S.

1 1.00 0.67 0.53 2.61 3.53 0.00 0.64 0.64

time (sec)

N/A 0.038 0.038 3.417 0.214 0.262 0.000 0.270 1.297

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 17 17 47 42 17 17

N.S.

1 1.00 1.00 0.65 0.65 1.81 1.62 0.65 0.65

time (sec)

N/A 0.013 0.013 1.589 0.209 0.279 0.156 0.264 0.101

Problem 311

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

19 19 16 14 13 26 20 13 12

N.S.

1 1.00 0.84 0.74 0.68 1.37 1.05 0.68 0.63

time (sec)

N/A 0.008 0.008 0.346 0.209 0.279 0.096 0.257 1.280

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 34 18 25 0 19 26

N.S.

1 1.00 1.00 3.09 1.64 2.27 0.00 1.73 2.36

time (sec)

N/A 0.009 0.011 0.874 0.296 0.283 0.000 0.259 0.187

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 32 46 32 182 0 33 36

N.S.

1 1.00 1.00 1.44 1.00 5.69 0.00 1.03 1.12

time (sec)

N/A 0.016 0.056 0.647 0.296 0.281 0.000 0.259 1.434

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 17 17 67 42 17 17

N.S.

1 1.00 1.00 0.65 0.65 2.58 1.62 0.65 0.65

time (sec)

N/A 0.015 0.013 0.556 0.215 0.272 0.152 0.262 1.318

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 16 14 13 40 20 13 12

N.S.

1 1.00 0.84 0.74 0.68 2.11 1.05 0.68 0.63

time (sec)

N/A 0.009 0.012 0.635 0.208 0.268 0.095 0.277 0.057

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 22 79 73 83 0 43 65

N.S.

1 1.00 0.41 1.46 1.35 1.54 0.00 0.80 1.20

time (sec)

N/A 0.041 0.011 0.630 0.305 0.287 0.000 0.269 0.189

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

105 105 34 148 85 560 0 86 91

N.S.

1 1.00 0.32 1.41 0.81 5.33 0.00 0.82 0.87

time (sec)

N/A 0.102 0.020 0.740 0.300 0.283 0.000 0.270 0.394

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 17 17 87 42 17 17

N.S.

1 1.00 1.00 0.65 0.65 3.35 1.62 0.65 0.65

time (sec)

N/A 0.014 0.014 0.638 0.198 0.281 0.152 0.266 0.081

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 19 14 13 46 20 13 13

N.S.

1 1.00 1.00 0.74 0.68 2.42 1.05 0.68 0.68

time (sec)

N/A 0.008 0.011 0.229 0.189 0.273 0.097 0.258 1.289

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A C F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 113 22 56 95 107 0 96 106

N.S.

1 1.00 0.19 0.50 0.84 0.95 0.00 0.85 0.94

time (sec)

N/A 0.054 0.010 0.934 0.276 0.281 0.000 0.262 0.370

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A C F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 34 68 107 855 0 108 120

N.S.

1 1.00 0.26 0.52 0.82 6.53 0.00 0.82 0.92

time (sec)

N/A 0.061 0.025 0.745 0.279 0.298 0.000 0.273 1.646

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B C B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

202 202 157 147 134 2228 1525 1211 166

N.S.

1 1.00 0.78 0.73 0.66 11.03 7.55 6.00 0.82

time (sec)

N/A 0.058 0.508 1.609 0.199 0.358 7.771 0.318 2.330

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B C B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

132 132 86 90 94 703 709 890 97

N.S.

1 1.00 0.65 0.68 0.71 5.33 5.37 6.74 0.73

time (sec)

N/A 0.037 0.128 0.850 0.224 0.284 1.070 0.297 1.647

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B C B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 50 51 63 244 323 598 73

N.S.

1 1.00 0.67 0.68 0.84 3.25 4.31 7.97 0.97

time (sec)

N/A 0.014 0.075 0.161 0.226 0.287 0.580 0.293 1.383

Problem 325

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

66 66 79 0 0 0 0 0 0

N.S.

1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.016 2.619 0.000 0.000 0.000 0.000 0.000 0.000

Problem 326

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

68 68 87 0 0 0 0 0 0

N.S.

1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.022 0.908 0.000 0.000 0.000 0.000 0.000 0.000

Problem 327

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

122 122 281 0 0 0 0 0 0

N.S.

1 1.00 2.30 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.041 14.380 0.000 0.000 0.000 0.000 0.000 0.000

Problem 328

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

131 131 163 0 0 0 0 0 0

N.S.

1 1.00 1.24 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.045 1.579 0.000 0.000 0.000 0.000 0.000 0.000

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

250 250 109 88 90 218 0 269 0

N.S.

1 1.00 0.44 0.35 0.36 0.87 0.00 1.08 0.00

time (sec)

N/A 0.180 0.078 6.257 0.311 0.293 0.000 0.286 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

162 162 76 75 62 126 0 195 0

N.S.

1 1.00 0.47 0.46 0.38 0.78 0.00 1.20 0.00

time (sec)

N/A 0.091 0.044 0.571 0.313 0.294 0.000 0.303 0.000

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A B A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

74 74 48 60 36 66 158 71 77

N.S.

1 1.00 0.65 0.81 0.49 0.89 2.14 0.96 1.04

time (sec)

N/A 0.069 0.033 0.588 0.308 0.273 1.568 0.285 1.369

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

46 46 44 29 39 42 0 85 0

N.S.

1 1.00 0.96 0.63 0.85 0.91 0.00 1.85 0.00

time (sec)

N/A 0.083 0.042 0.639 0.298 0.263 0.000 0.285 0.000

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

58 58 46 42 84 121 0 87 76

N.S.

1 1.00 0.79 0.72 1.45 2.09 0.00 1.50 1.31

time (sec)

N/A 0.092 0.056 1.311 0.307 0.269 0.000 0.289 1.289

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

147 147 72 66 209 315 0 122 89

N.S.

1 1.00 0.49 0.45 1.42 2.14 0.00 0.83 0.61

time (sec)

N/A 0.133 0.050 0.681 0.308 0.283 0.000 0.302 1.353

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

199 199 84 91 386 592 0 161 353

N.S.

1 1.00 0.42 0.46 1.94 2.97 0.00 0.81 1.77

time (sec)

N/A 0.185 0.059 0.871 0.317 0.291 0.000 0.308 1.349

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 28 28 0 42 99 32 45

N.S.

1 1.00 0.68 0.68 0.00 1.02 2.41 0.78 1.10

time (sec)

N/A 0.010 0.038 0.674 0.000 0.267 0.230 0.274 0.099

Problem 337

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

85 85 80 72 65 103 0 73 0

N.S.

1 1.00 0.94 0.85 0.76 1.21 0.00 0.86 0.00

time (sec)

N/A 0.058 0.067 0.847 0.206 0.271 0.000 0.266 0.000

Problem 338

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

101 101 92 97 81 129 0 91 0

N.S.

1 1.00 0.91 0.96 0.80 1.28 0.00 0.90 0.00

time (sec)

N/A 0.107 0.123 0.943 0.226 0.279 0.000 0.259 0.000

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 51 52 45 72 0 45 0

N.S.

1 1.00 0.78 0.80 0.69 1.11 0.00 0.69 0.00

time (sec)

N/A 0.051 0.050 1.089 0.183 0.281 0.000 0.277 0.000

Problem 340

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

65 65 72 48 47 75 0 49 0

N.S.

1 1.00 1.11 0.74 0.72 1.15 0.00 0.75 0.00

time (sec)

N/A 0.060 0.080 1.554 0.187 0.281 0.000 0.259 0.000

Problem 341

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

115 115 123 105 89 164 0 101 0

N.S.

1 1.00 1.07 0.91 0.77 1.43 0.00 0.88 0.00

time (sec)

N/A 0.116 0.285 1.300 0.190 0.280 0.000 0.272 0.000

Problem 342

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

110 110 103 100 90 213 0 106 0

N.S.

1 1.00 0.94 0.91 0.82 1.94 0.00 0.96 0.00

time (sec)

N/A 0.114 0.112 0.677 0.190 0.294 0.000 0.271 0.000

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

148 148 149 126 127 278 0 356 0

N.S.

1 1.00 1.01 0.85 0.86 1.88 0.00 2.41 0.00

time (sec)

N/A 0.134 0.559 0.770 0.262 0.309 0.000 0.291 0.000

Problem 344

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

239 239 287 207 200 445 0 223 0

N.S.

1 1.00 1.20 0.87 0.84 1.86 0.00 0.93 0.00

time (sec)

N/A 0.210 0.299 1.541 0.269 0.316 0.000 0.292 0.000

Problem 345

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

115 115 124 126 102 253 0 132 0

N.S.

1 1.00 1.08 1.10 0.89 2.20 0.00 1.15 0.00

time (sec)

N/A 0.161 0.194 0.492 0.186 0.295 0.000 0.269 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

161 161 220 158 143 334 0 388 0

N.S.

1 1.00 1.37 0.98 0.89 2.07 0.00 2.41 0.00

time (sec)

N/A 0.206 0.448 0.892 0.263 0.300 0.000 0.285 0.000

Problem 347

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

257 257 354 265 228 541 0 281 0

N.S.

1 1.00 1.38 1.03 0.89 2.11 0.00 1.09 0.00

time (sec)

N/A 0.327 0.594 1.379 0.268 0.296 0.000 0.299 0.000

Problem 348

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

133 133 104 117 105 217 0 132 0

N.S.

1 1.00 0.78 0.88 0.79 1.63 0.00 0.99 0.00

time (sec)

N/A 0.150 0.127 0.427 0.186 0.298 0.000 0.266 0.000

Problem 349

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

161 161 131 139 131 244 0 150 0

N.S.

1 1.00 0.81 0.86 0.81 1.52 0.00 0.93 0.00

time (sec)

N/A 0.160 0.196 0.353 0.191 0.347 0.000 0.279 0.000

Problem 350

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

271 271 214 234 211 427 0 264 0

N.S.

1 1.00 0.79 0.86 0.78 1.58 0.00 0.97 0.00

time (sec)

N/A 0.247 0.346 0.978 0.198 0.306 0.000 0.274 0.000

Problem 351

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

81 81 76 70 69 146 0 75 0

N.S.

1 1.00 0.94 0.86 0.85 1.80 0.00 0.93 0.00

time (sec)

N/A 0.123 0.254 0.192 0.188 0.305 0.000 0.270 0.000

Problem 352

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

128 128 179 101 100 254 0 107 0

N.S.

1 1.00 1.40 0.79 0.78 1.98 0.00 0.84 0.00

time (sec)

N/A 0.161 0.383 0.309 0.185 0.291 0.000 0.277 0.000

Problem 353

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

171 171 272 144 143 492 0 155 0

N.S.

1 1.00 1.59 0.84 0.84 2.88 0.00 0.91 0.00

time (sec)

N/A 0.215 0.905 0.799 0.198 0.286 0.000 0.287 0.000

Problem 354

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

140 140 166 147 127 322 0 172 0

N.S.

1 1.00 1.19 1.05 0.91 2.30 0.00 1.23 0.00

time (sec)

N/A 0.202 0.520 0.271 0.196 0.310 0.000 0.264 0.000

Problem 355

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

183 183 258 177 161 422 0 198 0

N.S.

1 1.00 1.41 0.97 0.88 2.31 0.00 1.08 0.00

time (sec)

N/A 0.256 1.026 0.398 0.202 0.277 0.000 0.279 0.000

Problem 356

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

300 300 480 302 263 848 0 352 0

N.S.

1 1.00 1.60 1.01 0.88 2.83 0.00 1.17 0.00

time (sec)

N/A 0.394 4.321 1.171 0.231 0.355 0.000 0.296 0.000

Problem 357

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

153 153 135 162 129 263 0 167 0

N.S.

1 1.00 0.88 1.06 0.84 1.72 0.00 1.09 0.00

time (sec)

N/A 0.222 0.231 0.339 0.248 0.308 0.000 0.282 0.000

Problem 358

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

219 219 183 210 185 343 0 223 0

N.S.

1 1.00 0.84 0.96 0.84 1.57 0.00 1.02 0.00

time (sec)

N/A 0.265 0.412 0.420 0.239 0.280 0.000 0.292 0.000

Problem 359

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

315 315 263 326 263 527 0 339 0

N.S.

1 1.00 0.83 1.03 0.83 1.67 0.00 1.08 0.00

time (sec)

N/A 0.324 0.641 0.997 0.240 0.343 0.000 0.284 0.000

Problem 360

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

154 154 179 160 139 325 0 181 0

N.S.

1 1.00 1.16 1.04 0.90 2.11 0.00 1.18 0.00

time (sec)

N/A 0.249 0.574 0.230 0.205 0.303 0.000 0.272 0.000

Problem 361

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

225 225 257 217 199 466 0 239 0

N.S.

1 1.00 1.14 0.96 0.88 2.07 0.00 1.06 0.00

time (sec)

N/A 0.290 1.530 0.405 0.207 0.321 0.000 0.295 0.000

Problem 362

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

323 323 503 326 287 852 0 369 0

N.S.

1 1.00 1.56 1.01 0.89 2.64 0.00 1.14 0.00

time (sec)

N/A 0.400 4.729 1.095 0.210 0.302 0.000 0.291 0.000

Problem 363

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 No Yes TBD TBD TBD TBD TBD

size

161 161 252 186 151 363 0 207 0

N.S.

1 1.00 1.57 1.16 0.94 2.25 0.00 1.29 0.00

time (sec)

N/A 0.293 1.084 0.236 0.228 0.295 0.000 0.282 0.000

Problem 364

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 No Yes TBD TBD TBD TBD TBD

size

239 239 339 249 215 516 0 271 0

N.S.

1 1.00 1.42 1.04 0.90 2.16 0.00 1.13 0.00

time (sec)

N/A 0.403 4.455 0.602 0.207 0.293 0.000 0.296 0.000

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

344 344 2991 384 315 940 0 427 0

N.S.

1 1.00 8.69 1.12 0.92 2.73 0.00 1.24 0.00

time (sec)

N/A 0.537 6.459 1.403 0.211 0.303 0.000 0.297 0.000

Problem 366

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

30 30 30 25 35 22 41 35 24

N.S.

1 1.00 1.00 0.83 1.17 0.73 1.37 1.17 0.80

time (sec)

N/A 0.027 0.044 0.344 0.195 0.277 0.060 0.250 1.287

Problem 367

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

56 56 48 48 81 58 85 75 46

N.S.

1 1.00 0.86 0.86 1.45 1.04 1.52 1.34 0.82

time (sec)

N/A 0.054 0.063 0.416 0.229 0.277 0.089 0.252 0.085

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

213 213 167 212 0 316 0 0 0

N.S.

1 1.00 0.78 1.00 0.00 1.48 0.00 0.00 0.00

time (sec)

N/A 0.409 0.547 0.796 0.000 0.303 0.000 0.000 0.000

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

271 271 220 376 0 671 0 0 0

N.S.

1 1.00 0.81 1.39 0.00 2.48 0.00 0.00 0.00

time (sec)

N/A 0.547 1.131 1.880 0.000 0.289 0.000 0.000 0.000

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