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2.2.4 Integrals 301 to 376

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 A A A A F A B B

verified

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

size

9 9 9 8 7 12 0 7 21 27

N.S.

1 1.00 1.00 0.89 0.78 1.33 0.00 0.78 2.33 3.00

time (sec)

N/A 0.169 0.008 1.143 0.183 0.259 0.000 0.298 0.002 2.664

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 16 16 16 12 16 15 15

N.S.

1 1.00 1.00 0.80 0.80 0.80 0.60 0.80 0.75 0.75

time (sec)

N/A 0.140 0.000 0.020 0.204 0.228 0.019 0.319 0.000 0.026

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 15 13 10 9 9 8 10 10 9

N.S.

1 1.25 1.08 0.83 0.75 0.75 0.67 0.83 0.83 0.75

time (sec)

N/A 0.171 0.023 0.037 0.205 0.259 0.034 0.282 0.000 0.184

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 25 21 18 17 17 15 17 17 17

N.S.

1 1.19 1.00 0.86 0.81 0.81 0.71 0.81 0.81 0.81

time (sec)

N/A 0.135 0.006 0.162 0.203 0.244 0.044 0.296 0.000 0.053

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 33 43 22 30 27 20 23 21 11

N.S.

1 0.77 1.00 0.51 0.70 0.63 0.47 0.53 0.49 0.26

time (sec)

N/A 0.189 0.021 0.134 0.197 0.263 0.120 0.318 0.001 0.426

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 18 15 16 22 144 43 21 14

N.S.

1 1.00 0.75 0.62 0.67 0.92 6.00 1.79 0.88 0.58

time (sec)

N/A 0.142 0.020 0.167 0.181 0.257 0.628 0.319 0.000 0.212

Problem 307

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 41 24 20 16 16 34 16 17 21

N.S.

1 1.08 0.63 0.53 0.42 0.42 0.89 0.42 0.45 0.55

time (sec)

N/A 0.202 0.011 0.032 0.202 0.242 0.100 0.291 0.001 0.035

Problem 308

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 43 37 31 30 32 39 30 27 32

N.S.

1 1.16 1.00 0.84 0.81 0.86 1.05 0.81 0.73 0.86

time (sec)

N/A 0.218 0.050 0.234 0.278 0.251 0.601 0.300 0.000 0.208

Problem 309

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 17 17 16 15 21 14 17 21 15

N.S.

1 1.00 1.00 0.94 0.88 1.24 0.82 1.00 1.24 0.88

time (sec)

N/A 0.194 0.005 0.181 0.190 0.247 0.045 0.286 0.000 0.042

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 40 29 26 38 26 39 26 34 34

N.S.

1 1.00 0.72 0.65 0.95 0.65 0.98 0.65 0.85 0.85

time (sec)

N/A 0.240 0.089 0.220 0.201 0.252 0.093 0.272 0.000 0.198

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

5 5 5 6 5 20 5 5 5 5

N.S.

1 1.00 1.00 1.20 1.00 4.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.196 4.174 0.201 0.194 0.256 0.154 0.303 0.002 0.247

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

6 6 20 5 4 18 3 19 4 4

N.S.

1 1.00 3.33 0.83 0.67 3.00 0.50 3.17 0.67 0.67

time (sec)

N/A 0.118 0.035 0.422 0.300 0.240 0.068 0.279 0.000 0.008

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 37 24 22 62 62 61 22 63 29

N.S.

1 1.00 0.65 0.59 1.68 1.68 1.65 0.59 1.70 0.78

time (sec)

N/A 0.157 0.008 0.156 0.192 0.247 0.061 0.291 0.000 0.100

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 25 21 18 18 36 19 18 18 18

N.S.

1 1.19 1.00 0.86 0.86 1.71 0.90 0.86 0.86 0.86

time (sec)

N/A 0.199 0.028 0.177 0.215 0.248 0.049 0.299 0.000 0.395

Problem 315

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 30 25 24 22 41 24 24 24

N.S.

1 1.00 1.00 0.83 0.80 0.73 1.37 0.80 0.80 0.80

time (sec)

N/A 0.197 0.058 0.172 0.199 0.256 0.074 0.266 0.000 0.255

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

4 4 27 4 3 3 3 3 4 3

N.S.

1 1.00 6.75 1.00 0.75 0.75 0.75 0.75 1.00 0.75

time (sec)

N/A 0.160 0.007 0.188 0.207 0.260 0.219 0.277 0.000 0.236

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

13 17 13 12 15 11 10 15 28 11

N.S.

1 1.31 1.00 0.92 1.15 0.85 0.77 1.15 2.15 0.85

time (sec)

N/A 0.134 0.005 0.151 0.200 0.234 0.040 0.317 0.000 0.046

Problem 318

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 49 24 21 21 21 22 21 24 21

N.S.

1 1.11 0.55 0.48 0.48 0.48 0.50 0.48 0.55 0.48

time (sec)

N/A 0.230 0.022 0.046 0.210 0.233 0.042 0.296 0.000 0.027

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 45 42 28 27 25 37 27 26 27

N.S.

1 1.10 1.02 0.68 0.66 0.61 0.90 0.66 0.63 0.66

time (sec)

N/A 0.159 0.039 0.149 0.276 0.230 1.704 0.283 0.001 0.031

Problem 320

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 25 20 19 17 114 13 89 14

N.S.

1 1.00 1.00 0.80 0.76 0.68 4.56 0.52 3.56 0.56

time (sec)

N/A 0.197 0.002 1.335 0.185 0.263 0.962 0.316 0.000 0.225

Problem 321

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 12 11 10 10 7 10 8 8

N.S.

1 1.00 1.00 0.92 0.83 0.83 0.58 0.83 0.67 0.67

time (sec)

N/A 0.131 0.003 0.023 0.192 0.234 0.029 0.287 0.001 0.186

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 57 65 41 43 32 0 30 29 43

N.S.

1 1.39 1.59 1.00 1.05 0.78 0.00 0.73 0.71 1.05

time (sec)

N/A 0.154 0.101 0.190 0.275 0.251 0.000 0.322 0.000 0.050

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 41 27 119 27 27 29 28 29 0

N.S.

1 1.21 0.79 3.50 0.79 0.79 0.85 0.82 0.85 0.00

time (sec)

N/A 0.185 0.015 0.157 0.272 0.268 1.221 0.303 0.002 0.000

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 19 18 17 17 42 17 17 17

N.S.

1 1.00 1.00 0.95 0.89 0.89 2.21 0.89 0.89 0.89

time (sec)

N/A 0.138 0.006 0.184 0.275 0.261 0.044 0.294 0.001 0.042

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 45 30 39 37 34 31 37 28

N.S.

1 1.00 1.18 0.79 1.03 0.97 0.89 0.82 0.97 0.74

time (sec)

N/A 0.157 0.110 0.311 0.278 0.250 0.224 0.268 0.001 0.047

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 12 9 8 8 7 8 13 8

N.S.

1 1.00 1.00 0.75 0.67 0.67 0.58 0.67 1.08 0.67

time (sec)

N/A 0.131 0.006 0.210 0.278 0.246 0.048 0.295 0.000 0.199

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 31 31 27 26 26 36 26 25 28

N.S.

1 1.00 1.00 0.87 0.84 0.84 1.16 0.84 0.81 0.90

time (sec)

N/A 0.163 0.013 0.708 0.282 0.237 0.044 0.289 0.000 0.040

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 10 37 16 121 29 12 150 28 19

N.S.

1 1.00 3.70 1.60 12.10 2.90 1.20 15.00 2.80 1.90

time (sec)

N/A 0.180 0.014 0.124 0.280 0.257 0.442 0.361 0.001 0.112

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 27 29 26 22 30 26 13

N.S.

1 1.00 1.00 1.80 1.93 1.73 1.47 2.00 1.73 0.87

time (sec)

N/A 0.133 0.006 0.202 0.193 0.256 0.067 0.288 0.000 0.061

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 21 21 14 0 13 63 13 19 21

N.S.

1 1.00 1.00 0.67 0.00 0.62 3.00 0.62 0.90 1.00

time (sec)

N/A 0.138 0.103 0.029 0.000 0.232 0.160 0.279 0.001 0.237

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 25 18 16 19 17 19 18 19 17

N.S.

1 1.09 0.78 0.70 0.83 0.74 0.83 0.78 0.83 0.74

time (sec)

N/A 0.176 0.050 0.040 0.203 0.241 0.060 0.267 0.000 0.302

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 17 16 16 17 16 14 16

N.S.

1 1.00 1.00 0.85 0.80 0.80 0.85 0.80 0.70 0.80

time (sec)

N/A 0.157 0.009 0.037 0.206 0.261 0.126 0.274 0.001 0.313

Problem 333

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 16 18 19 14 20 22 18

N.S.

1 1.00 1.00 0.89 1.00 1.06 0.78 1.11 1.22 1.00

time (sec)

N/A 0.147 0.006 0.065 0.202 0.256 0.054 0.281 0.000 0.216

Problem 334

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 12 20 19 25 20 20 30 19

N.S.

1 1.00 1.00 1.67 1.58 2.08 1.67 1.67 2.50 1.58

time (sec)

N/A 0.157 0.046 0.052 0.192 0.243 0.051 0.285 0.000 0.249

Problem 335

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

8 8 23 9 10 15 12 16 15 8

N.S.

1 1.00 2.88 1.12 1.25 1.88 1.50 2.00 1.88 1.00

time (sec)

N/A 0.260 0.007 0.145 0.279 0.262 0.353 0.303 0.001 0.228

Problem 336

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 13 12 12 44 12 11 12

N.S.

1 1.00 1.00 0.72 0.67 0.67 2.44 0.67 0.61 0.67

time (sec)

N/A 0.125 0.018 0.308 0.274 0.242 0.486 0.295 0.000 0.146

Problem 337

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 15 11 10 0 24 0 9 26 18

N.S.

1 1.36 1.00 0.91 0.00 2.18 0.00 0.82 2.36 1.64

time (sec)

N/A 0.222 0.021 0.479 0.000 0.316 0.000 0.289 0.006 0.438

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 46 23 22 30 27 22 22 22

N.S.

1 1.00 1.53 0.77 0.73 1.00 0.90 0.73 0.73 0.73

time (sec)

N/A 0.135 0.077 0.465 0.310 0.256 0.107 0.328 0.001 0.177

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 27 20 23 21 21 26 21 24 23

N.S.

1 1.12 0.83 0.96 0.88 0.88 1.08 0.88 1.00 0.96

time (sec)

N/A 0.300 0.009 0.111 0.206 0.261 0.127 0.285 0.000 0.030

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

50 55 47 33 49 39 37 40 58 39

N.S.

1 1.10 0.94 0.66 0.98 0.78 0.74 0.80 1.16 0.78

time (sec)

N/A 0.167 0.084 0.373 0.283 0.249 0.250 0.286 0.001 0.228

Problem 341

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 11 10 9 46 51 9 45 9

N.S.

1 1.00 1.00 0.91 0.82 4.18 4.64 0.82 4.09 0.82

time (sec)

N/A 0.118 0.002 0.155 0.198 0.244 0.028 0.266 0.001 0.224

Problem 342

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 31 20 19 19 20 19 30 19

N.S.

1 1.00 1.24 0.80 0.76 0.76 0.80 0.76 1.20 0.76

time (sec)

N/A 0.187 0.011 0.175 0.201 0.242 0.022 0.279 0.001 0.190

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 22 20 19 21 26 19 22 19

N.S.

1 1.00 0.81 0.74 0.70 0.78 0.96 0.70 0.81 0.70

time (sec)

N/A 0.154 0.050 0.151 0.191 0.242 0.167 0.272 0.000 0.030

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 41 23 34 56 36 70 26 18

N.S.

1 1.00 1.71 0.96 1.42 2.33 1.50 2.92 1.08 0.75

time (sec)

N/A 0.200 0.043 0.295 0.192 0.248 0.057 0.282 0.001 0.070

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 34 35 32 33 35 27 44 34 32

N.S.

1 1.00 1.03 0.94 0.97 1.03 0.79 1.29 1.00 0.94

time (sec)

N/A 0.144 0.042 0.280 0.316 0.232 0.098 0.289 0.001 0.495

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 36 30 25 35 28 73 38 22 37

N.S.

1 1.20 1.00 0.83 1.17 0.93 2.43 1.27 0.73 1.23

time (sec)

N/A 0.144 0.028 0.218 0.275 0.232 0.841 0.288 0.000 0.111

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 37 19 16 16 16 15 16 17 16

N.S.

1 1.16 0.59 0.50 0.50 0.50 0.47 0.50 0.53 0.50

time (sec)

N/A 0.189 0.018 0.047 0.208 0.238 0.036 0.295 0.000 0.033

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 31 18 17 12 26 42 11 12

N.S.

1 1.00 1.35 0.78 0.74 0.52 1.13 1.83 0.48 0.52

time (sec)

N/A 0.201 0.025 0.158 0.194 0.254 0.119 0.282 0.000 0.113

Problem 349

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 24 24 22 21 21 19 21 20 21

N.S.

1 0.89 0.89 0.81 0.78 0.78 0.70 0.78 0.74 0.78

time (sec)

N/A 0.201 0.008 0.023 0.285 0.254 0.072 0.267 0.001 0.290

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 43 32 31 53 28 29 32 29 28

N.S.

1 1.13 0.84 0.82 1.39 0.74 0.76 0.84 0.76 0.74

time (sec)

N/A 0.185 0.014 0.037 0.279 0.248 0.144 0.275 0.001 0.234

Problem 351

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

5 5 5 5 4 16 8 6 8 6

N.S.

1 1.00 1.00 1.00 0.80 3.20 1.60 1.20 1.60 1.20

time (sec)

N/A 0.189 0.008 0.319 0.202 0.244 0.375 0.270 0.002 0.048

Problem 352

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 34 25 22 21 21 27 21 23 23

N.S.

1 1.17 0.86 0.76 0.72 0.72 0.93 0.72 0.79 0.79

time (sec)

N/A 0.258 0.018 0.194 0.206 0.274 0.088 0.285 0.001 0.202

Problem 353

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 45 29 36 47 27 26 34 27

N.S.

1 1.00 1.25 0.81 1.00 1.31 0.75 0.72 0.94 0.75

time (sec)

N/A 0.148 0.090 0.240 0.294 0.251 0.283 0.287 0.001 0.187

Problem 354

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 34 31 23 22 22 24 22 20 22

N.S.

1 1.21 1.11 0.82 0.79 0.79 0.86 0.79 0.71 0.79

time (sec)

N/A 0.150 0.012 0.210 0.292 0.254 0.056 0.301 0.000 0.056

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 31 26 25 42 43 46 38 98 29

N.S.

1 1.19 1.00 0.96 1.62 1.65 1.77 1.46 3.77 1.12

time (sec)

N/A 0.255 0.006 0.362 0.205 0.253 0.065 0.272 0.002 0.059

Problem 356

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 56 30 23 24 33 46 22 38 22

N.S.

1 1.22 0.65 0.50 0.52 0.72 1.00 0.48 0.83 0.48

time (sec)

N/A 0.249 0.039 0.316 0.210 0.256 0.025 0.291 0.001 0.221

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 15 17 16 24 17 16 13 11

N.S.

1 1.00 0.75 0.85 0.80 1.20 0.85 0.80 0.65 0.55

time (sec)

N/A 0.206 0.017 0.419 0.204 0.274 0.641 0.260 0.001 0.286

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 24 24 18 16 24 14 19 27 19

N.S.

1 1.14 1.14 0.86 0.76 1.14 0.67 0.90 1.29 0.90

time (sec)

N/A 0.169 0.032 0.051 0.211 0.253 0.048 0.282 0.000 0.068

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 37 33 77 47 58 0 50 12 0

N.S.

1 1.00 0.89 2.08 1.27 1.57 0.00 1.35 0.32 0.00

time (sec)

N/A 0.204 0.024 0.678 0.291 0.307 0.000 0.287 0.001 0.000

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 28 46 26 29 27 29 28 22 23

N.S.

1 1.00 1.64 0.93 1.04 0.96 1.04 1.00 0.79 0.82

time (sec)

N/A 0.147 0.058 0.254 0.192 0.247 0.227 0.292 0.001 0.145

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 19 17 15 18 17 15 18 21

N.S.

1 1.00 1.00 0.89 0.79 0.95 0.89 0.79 0.95 1.11

time (sec)

N/A 0.169 0.008 0.292 0.213 0.250 0.020 0.298 0.001 0.035

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 55 26 25 24 24 22 24 26 24

N.S.

1 1.20 0.57 0.54 0.52 0.52 0.48 0.52 0.57 0.52

time (sec)

N/A 0.253 0.021 0.038 0.195 0.245 0.034 0.278 0.000 0.027

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 15 33 16 32 30 29 0

N.S.

1 1.00 1.00 0.83 1.83 0.89 1.78 1.67 1.61 0.00

time (sec)

N/A 0.135 0.284 0.736 0.214 0.242 0.528 0.298 0.001 0.000

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 22 20 19 21 24 19 20 19

N.S.

1 1.00 0.81 0.74 0.70 0.78 0.89 0.70 0.74 0.70

time (sec)

N/A 0.156 0.074 0.152 0.217 0.254 0.088 0.305 0.000 0.220

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 22 18 17 16 15 0 16 22 18

N.S.

1 1.22 1.00 0.94 0.89 0.83 0.00 0.89 1.22 1.00

time (sec)

N/A 0.200 0.009 0.039 0.202 0.266 0.000 0.283 0.001 0.248

Problem 366

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 26 23 22 21 21 20 21 21 21

N.S.

1 0.96 0.85 0.81 0.78 0.78 0.74 0.78 0.78 0.78

time (sec)

N/A 0.172 0.001 0.030 0.198 0.260 0.096 0.276 0.000 0.002

Problem 367

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 32 26 21 20 20 20 20 31 31

N.S.

1 1.23 1.00 0.81 0.77 0.77 0.77 0.77 1.19 1.19

time (sec)

N/A 0.153 0.031 0.083 0.306 0.251 0.282 0.298 0.001 0.245

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 16 11 14 9 9 15 9 11 9

N.S.

1 1.07 0.73 0.93 0.60 0.60 1.00 0.60 0.73 0.60

time (sec)

N/A 0.183 0.033 1.704 0.205 0.250 0.779 0.275 0.001 0.287

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

47 52 50 35 34 37 121 29 34 30

N.S.

1 1.11 1.06 0.74 0.72 0.79 2.57 0.62 0.72 0.64

time (sec)

N/A 0.147 0.129 0.250 0.289 0.241 1.713 0.299 0.001 0.038

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 36 10 9 26 27 9 25 26

N.S.

1 1.00 3.27 0.91 0.82 2.36 2.45 0.82 2.27 2.36

time (sec)

N/A 0.124 0.003 0.177 0.200 0.238 0.014 0.303 0.000 0.024

Problem 371

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 17 17 14 13 13 12 13 14 14

N.S.

1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.82 0.82

time (sec)

N/A 0.179 0.007 0.167 0.207 0.257 0.021 0.293 0.001 0.052

Problem 372

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

17 17 27 14 13 20 29 13 32 13

N.S.

1 1.00 1.59 0.82 0.76 1.18 1.71 0.76 1.88 0.76

time (sec)

N/A 0.181 0.012 1.822 0.198 0.274 0.020 0.265 0.001 0.199

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 18 15 19 17 36 19 16 14

N.S.

1 1.00 0.67 0.56 0.70 0.63 1.33 0.70 0.59 0.52

time (sec)

N/A 0.140 0.012 0.194 0.207 0.242 0.532 0.279 0.001 0.036

Problem 374

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 29 22 17 16 19 24 16 18 16

N.S.

1 1.21 0.92 0.71 0.67 0.79 1.00 0.67 0.75 0.67

time (sec)

N/A 0.191 0.002 0.274 0.210 0.266 0.017 0.271 0.000 0.033

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 12 17 20 18 12 16 16 16

N.S.

1 1.00 1.00 1.42 1.67 1.50 1.00 1.33 1.33 1.33

time (sec)

N/A 0.176 0.001 0.027 0.207 0.256 0.037 0.308 0.000 0.020

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 44 30 22 34 26 53 28 25 25

N.S.

1 1.10 0.75 0.55 0.85 0.65 1.32 0.70 0.62 0.62

time (sec)

N/A 0.146 0.021 0.177 0.292 0.251 0.280 0.282 0.000 0.024

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