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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 A A A A A A B B

verified

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

size

56 60 56 47 46 46 49 46 48 46

N.S.

1 1.07 1.00 0.84 0.82 0.82 0.88 0.82 0.86 0.82

time (sec)

N/A 0.360 0.002 0.125 0.030 0.131 0.020 0.105 0.169 0.027

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

56 57 56 47 46 46 51 46 48 46

N.S.

1 1.02 1.00 0.84 0.82 0.82 0.91 0.82 0.86 0.82

time (sec)

N/A 0.357 0.002 0.125 0.026 0.067 0.019 0.120 0.170 0.024

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

53 57 56 47 46 46 49 46 48 46

N.S.

1 1.08 1.06 0.89 0.87 0.87 0.92 0.87 0.91 0.87

time (sec)

N/A 0.346 0.002 0.115 0.026 0.066 0.021 0.122 0.181 0.025

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

34 38 56 47 46 46 53 46 48 46

N.S.

1 1.12 1.65 1.38 1.35 1.35 1.56 1.35 1.41 1.35

time (sec)

N/A 0.312 0.002 0.113 0.031 0.144 0.021 0.109 0.165 0.025

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 45 44 44 44 44 47 44

N.S.

1 1.00 1.00 2.81 2.75 2.75 2.75 2.75 2.94 2.75

time (sec)

N/A 0.247 0.002 0.099 0.025 0.134 0.021 0.116 0.169 0.024

Problem 306

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 No TBD TBD TBD TBD TBD TBD

size

50 54 50 45 47 44 49 47 44 44

N.S.

1 1.08 1.00 0.90 0.94 0.88 0.98 0.94 0.88 0.88

time (sec)

N/A 0.333 0.003 0.102 0.031 0.142 0.047 0.102 0.168 0.028

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 No TBD TBD TBD TBD TBD TBD

size

48 53 48 45 46 49 46 56 49 44

N.S.

1 1.10 1.00 0.94 0.96 1.02 0.96 1.17 1.02 0.92

time (sec)

N/A 0.344 0.004 0.060 0.026 0.084 0.064 0.135 0.167 0.030

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 No TBD TBD TBD TBD TBD TBD

size

49 55 49 46 48 49 49 59 49 48

N.S.

1 1.12 1.00 0.94 0.98 1.00 1.00 1.20 1.00 0.98

time (sec)

N/A 0.348 0.004 0.076 0.030 0.077 0.096 0.171 0.168 0.040

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 No TBD TBD TBD TBD TBD TBD

size

49 52 49 46 48 50 49 57 50 47

N.S.

1 1.06 1.00 0.94 0.98 1.02 1.00 1.16 1.02 0.96

time (sec)

N/A 0.340 0.004 0.058 0.031 0.088 0.124 0.139 0.167 0.046

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 No TBD TBD TBD TBD TBD TBD

size

50 54 50 45 50 50 49 58 50 47

N.S.

1 1.08 1.00 0.90 1.00 1.00 0.98 1.16 1.00 0.94

time (sec)

N/A 0.346 0.004 0.056 0.028 0.165 0.155 0.138 0.170 0.054

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 52 47 46 46 49 46 48 46

N.S.

1 1.00 2.74 2.47 2.42 2.42 2.58 2.42 2.53 2.42

time (sec)

N/A 0.261 0.004 0.056 0.031 0.113 0.168 0.124 0.174 17.652

Problem 312

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 No TBD TBD TBD TBD TBD TBD

size

40 44 56 47 48 48 51 48 48 48

N.S.

1 1.10 1.40 1.18 1.20 1.20 1.28 1.20 1.20 1.20

time (sec)

N/A 0.288 0.003 0.060 0.033 0.158 0.186 0.125 0.166 18.646

Problem 313

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 No TBD TBD TBD TBD TBD TBD

size

56 58 56 47 48 48 51 48 48 48

N.S.

1 1.04 1.00 0.84 0.86 0.86 0.91 0.86 0.86 0.86

time (sec)

N/A 0.344 0.004 0.062 0.026 0.100 0.197 0.134 0.167 0.039

Problem 314

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 No TBD TBD TBD TBD TBD TBD

size

56 58 56 47 48 48 51 48 48 48

N.S.

1 1.04 1.00 0.84 0.86 0.86 0.91 0.86 0.86 0.86

time (sec)

N/A 0.341 0.004 0.066 0.031 0.078 0.213 0.108 0.177 0.040

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 No TBD TBD TBD TBD TBD TBD

size

56 60 56 47 48 48 51 48 48 48

N.S.

1 1.07 1.00 0.84 0.86 0.86 0.91 0.86 0.86 0.86

time (sec)

N/A 0.342 0.004 0.065 0.027 0.141 0.224 0.144 0.165 18.800

Problem 316

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

56 56 56 47 46 46 53 46 48 46

N.S.

1 1.00 1.00 0.84 0.82 0.82 0.95 0.82 0.86 0.82

time (sec)

N/A 0.333 0.003 0.121 0.025 0.136 0.019 0.103 0.168 0.025

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

56 56 56 47 46 46 53 46 48 46

N.S.

1 1.00 1.00 0.84 0.82 0.82 0.95 0.82 0.86 0.82

time (sec)

N/A 0.338 0.002 0.113 0.029 0.064 0.020 0.124 0.167 0.024

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

56 56 56 47 46 46 53 46 48 46

N.S.

1 1.00 1.00 0.84 0.82 0.82 0.95 0.82 0.86 0.82

time (sec)

N/A 0.333 0.002 0.111 0.031 0.153 0.019 0.101 0.165 0.025

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

51 60 51 44 55 43 49 43 46 43

N.S.

1 1.18 1.00 0.86 1.08 0.84 0.96 0.84 0.90 0.84

time (sec)

N/A 0.347 0.001 0.040 0.032 0.147 0.019 0.142 0.172 0.023

Problem 320

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 No TBD TBD TBD TBD TBD TBD

size

48 48 48 45 44 48 44 44 48 44

N.S.

1 1.00 1.00 0.94 0.92 1.00 0.92 0.92 1.00 0.92

time (sec)

N/A 0.338 0.006 0.088 0.026 0.089 0.041 0.126 0.164 0.026

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 No TBD TBD TBD TBD TBD TBD

size

50 50 50 45 45 48 49 45 48 47

N.S.

1 1.00 1.00 0.90 0.90 0.96 0.98 0.90 0.96 0.94

time (sec)

N/A 0.328 0.005 0.057 0.031 0.119 0.065 0.120 0.161 0.049

Problem 322

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 No TBD TBD TBD TBD TBD TBD

size

50 50 50 45 47 48 49 47 48 47

N.S.

1 1.00 1.00 0.90 0.94 0.96 0.98 0.94 0.96 0.94

time (sec)

N/A 0.323 0.006 0.056 0.026 0.141 0.094 0.171 0.171 0.044

Problem 323

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 No TBD TBD TBD TBD TBD TBD

size

47 47 47 44 46 48 48 46 48 46

N.S.

1 1.00 1.00 0.94 0.98 1.02 1.02 0.98 1.02 0.98

time (sec)

N/A 0.320 0.005 0.056 0.027 0.090 0.128 0.111 0.166 0.039

Problem 324

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 No TBD TBD TBD TBD TBD TBD

size

54 54 54 47 48 48 51 48 48 47

N.S.

1 1.00 1.00 0.87 0.89 0.89 0.94 0.89 0.89 0.87

time (sec)

N/A 0.330 0.008 0.056 0.028 0.099 0.155 0.106 0.175 0.037

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 No TBD TBD TBD TBD TBD TBD

size

56 56 56 47 48 48 51 48 48 48

N.S.

1 1.00 1.00 0.84 0.86 0.86 0.91 0.86 0.86 0.86

time (sec)

N/A 0.327 0.006 0.056 0.031 0.081 0.170 0.108 0.161 0.038

Problem 326

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 No TBD TBD TBD TBD TBD TBD

size

56 56 56 47 48 48 51 48 48 48

N.S.

1 1.00 1.00 0.84 0.86 0.86 0.91 0.86 0.86 0.86

time (sec)

N/A 0.339 0.008 0.060 0.035 0.163 0.180 0.103 0.163 18.651

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

82 86 82 69 68 68 80 68 70 68

N.S.

1 1.05 1.00 0.84 0.83 0.83 0.98 0.83 0.85 0.83

time (sec)

N/A 0.405 0.003 0.139 0.026 0.091 0.022 0.129 0.167 0.032

Problem 328

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

91 95 82 69 68 68 78 68 70 68

N.S.

1 1.04 0.90 0.76 0.75 0.75 0.86 0.75 0.77 0.75

time (sec)

N/A 0.414 0.002 0.131 0.031 0.127 0.024 0.130 0.159 0.031

Problem 329

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

72 76 82 69 68 68 78 68 70 68

N.S.

1 1.06 1.14 0.96 0.94 0.94 1.08 0.94 0.97 0.94

time (sec)

N/A 0.386 0.002 0.127 0.025 0.163 0.024 0.130 0.161 0.031

Problem 330

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

53 57 82 69 68 68 80 68 70 68

N.S.

1 1.08 1.55 1.30 1.28 1.28 1.51 1.28 1.32 1.28

time (sec)

N/A 0.351 0.002 0.124 0.035 0.133 0.024 0.166 0.179 0.031

Problem 331

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 38 77 68 67 67 75 67 70 67

N.S.

1 1.12 2.26 2.00 1.97 1.97 2.21 1.97 2.06 1.97

time (sec)

N/A 0.317 0.002 0.118 0.030 0.082 0.025 0.105 0.163 0.031

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 69 68 68 78 68 69 68

N.S.

1 1.00 1.00 4.31 4.25 4.25 4.88 4.25 4.31 4.25

time (sec)

N/A 0.254 0.002 0.109 0.027 0.085 0.024 0.127 0.158 0.032

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 No TBD TBD TBD TBD TBD TBD

size

76 82 76 67 69 66 76 69 66 66

N.S.

1 1.08 1.00 0.88 0.91 0.87 1.00 0.91 0.87 0.87

time (sec)

N/A 0.366 0.004 0.128 0.030 0.125 0.049 0.103 0.167 0.035

Problem 334

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 No TBD TBD TBD TBD TBD TBD

size

77 77 77 68 69 72 76 79 72 67

N.S.

1 1.00 1.00 0.88 0.90 0.94 0.99 1.03 0.94 0.87

time (sec)

N/A 0.383 0.006 0.063 0.027 0.097 0.067 0.128 0.166 0.037

Problem 335

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 No TBD TBD TBD TBD TBD TBD

size

72 79 72 67 69 71 73 80 71 69

N.S.

1 1.10 1.00 0.93 0.96 0.99 1.01 1.11 0.99 0.96

time (sec)

N/A 0.380 0.004 0.064 0.034 0.083 0.098 0.141 0.174 0.036

Problem 336

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 No TBD TBD TBD TBD TBD TBD

size

79 77 79 68 70 71 76 81 71 70

N.S.

1 0.97 1.00 0.86 0.89 0.90 0.96 1.03 0.90 0.89

time (sec)

N/A 0.381 0.004 0.065 0.027 0.081 0.134 0.137 0.166 18.698

Problem 337

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 No TBD TBD TBD TBD TBD TBD

size

73 79 73 68 70 72 73 81 72 69

N.S.

1 1.08 1.00 0.93 0.96 0.99 1.00 1.11 0.99 0.95

time (sec)

N/A 0.380 0.006 0.083 0.028 0.109 0.175 0.152 0.162 17.659

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 No TBD TBD TBD TBD TBD TBD

size

77 76 77 68 72 72 75 81 72 70

N.S.

1 0.99 1.00 0.88 0.94 0.94 0.97 1.05 0.94 0.91

time (sec)

N/A 0.372 0.004 0.063 0.029 0.124 0.220 0.113 0.168 0.052

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 No TBD TBD TBD TBD TBD TBD

size

76 82 76 67 72 72 73 80 72 69

N.S.

1 1.08 1.00 0.88 0.95 0.95 0.96 1.05 0.95 0.91

time (sec)

N/A 0.383 0.004 0.062 0.040 0.149 0.260 0.124 0.164 17.893

Problem 340

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 82 69 68 68 73 68 70 70

N.S.

1 1.00 4.32 3.63 3.58 3.58 3.84 3.58 3.68 3.68

time (sec)

N/A 0.259 0.006 0.064 0.028 0.088 0.283 0.133 0.163 0.053

Problem 341

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 No TBD TBD TBD TBD TBD TBD

size

40 44 78 69 70 70 75 70 70 69

N.S.

1 1.10 1.95 1.72 1.75 1.75 1.88 1.75 1.75 1.72

time (sec)

N/A 0.296 0.004 0.069 0.026 0.110 0.300 0.108 0.175 17.909

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 No TBD TBD TBD TBD TBD TBD

size

62 72 82 69 70 70 75 70 70 70

N.S.

1 1.16 1.32 1.11 1.13 1.13 1.21 1.13 1.13 1.13

time (sec)

N/A 0.309 0.004 0.071 0.030 0.085 0.309 0.105 0.169 0.050

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 No TBD TBD TBD TBD TBD TBD

size

84 100 82 69 70 70 75 70 70 70

N.S.

1 1.19 0.98 0.82 0.83 0.83 0.89 0.83 0.83 0.83

time (sec)

N/A 0.339 0.006 0.075 0.025 0.093 0.327 0.103 0.165 18.890

Problem 344

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 No TBD TBD TBD TBD TBD TBD

size

82 84 82 69 70 70 75 70 70 70

N.S.

1 1.02 1.00 0.84 0.85 0.85 0.91 0.85 0.85 0.85

time (sec)

N/A 0.375 0.004 0.079 0.026 0.083 0.344 0.127 0.160 0.054

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 No TBD TBD TBD TBD TBD TBD

size

82 86 82 69 70 70 75 70 70 70

N.S.

1 1.05 1.00 0.84 0.85 0.85 0.91 0.85 0.85 0.85

time (sec)

N/A 0.389 0.004 0.081 0.028 0.115 0.376 0.125 0.165 19.286

Problem 346

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

82 82 82 69 68 68 80 68 70 68

N.S.

1 1.00 1.00 0.84 0.83 0.83 0.98 0.83 0.85 0.83

time (sec)

N/A 0.381 0.002 0.131 0.029 0.132 0.022 0.113 0.168 0.032

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

79 79 79 68 67 67 76 67 70 67

N.S.

1 1.00 1.00 0.86 0.85 0.85 0.96 0.85 0.89 0.85

time (sec)

N/A 0.384 0.002 0.128 0.026 0.078 0.021 0.141 0.161 0.031

Problem 348

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

82 82 82 69 68 68 80 68 70 68

N.S.

1 1.00 1.00 0.84 0.83 0.83 0.98 0.83 0.85 0.83

time (sec)

N/A 0.367 0.002 0.122 0.030 0.142 0.021 0.120 0.158 0.031

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

82 82 82 69 68 68 80 68 70 68

N.S.

1 1.00 1.00 0.84 0.83 0.83 0.98 0.83 0.85 0.83

time (sec)

N/A 0.384 0.002 0.116 0.027 0.104 0.021 0.108 0.167 0.032

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

73 82 73 66 100 65 73 65 68 65

N.S.

1 1.12 1.00 0.90 1.37 0.89 1.00 0.89 0.93 0.89

time (sec)

N/A 0.390 0.001 0.048 0.033 0.150 0.021 0.112 0.167 0.030

Problem 351

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 No TBD TBD TBD TBD TBD TBD

size

72 72 72 67 66 70 70 66 70 66

N.S.

1 1.00 1.00 0.93 0.92 0.97 0.97 0.92 0.97 0.92

time (sec)

N/A 0.375 0.007 0.200 0.026 0.123 0.049 0.105 0.160 0.034

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 No TBD TBD TBD TBD TBD TBD

size

74 74 74 67 67 70 75 67 70 69

N.S.

1 1.00 1.00 0.91 0.91 0.95 1.01 0.91 0.95 0.93

time (sec)

N/A 0.371 0.007 0.069 0.024 0.156 0.073 0.108 0.167 0.032

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 No TBD TBD TBD TBD TBD TBD

size

72 72 72 67 67 70 73 67 70 69

N.S.

1 1.00 1.00 0.93 0.93 0.97 1.01 0.93 0.97 0.96

time (sec)

N/A 0.376 0.005 0.065 0.025 0.082 0.103 0.124 0.168 0.033

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 No TBD TBD TBD TBD TBD TBD

size

72 72 72 67 69 70 73 69 70 69

N.S.

1 1.00 1.00 0.93 0.96 0.97 1.01 0.96 0.97 0.96

time (sec)

N/A 0.371 0.008 0.066 0.027 0.083 0.138 0.105 0.167 0.054

Problem 355

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 No TBD TBD TBD TBD TBD TBD

size

74 74 74 67 69 70 73 69 70 70

N.S.

1 1.00 1.00 0.91 0.93 0.95 0.99 0.93 0.95 0.95

time (sec)

N/A 0.370 0.007 0.067 0.030 0.081 0.179 0.125 0.164 0.054

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 No TBD TBD TBD TBD TBD TBD

size

71 71 71 66 68 70 71 68 70 68

N.S.

1 1.00 1.00 0.93 0.96 0.99 1.00 0.96 0.99 0.96

time (sec)

N/A 0.367 0.005 0.062 0.036 0.135 0.219 0.106 0.164 0.048

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 No TBD TBD TBD TBD TBD TBD

size

76 76 76 69 70 70 75 70 70 69

N.S.

1 1.00 1.00 0.91 0.92 0.92 0.99 0.92 0.92 0.91

time (sec)

N/A 0.376 0.007 0.066 0.026 0.075 0.249 0.149 0.167 18.443

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 No TBD TBD TBD TBD TBD TBD

size

82 82 82 69 70 70 75 70 70 70

N.S.

1 1.00 1.00 0.84 0.85 0.85 0.91 0.85 0.85 0.85

time (sec)

N/A 0.372 0.008 0.067 0.027 0.172 0.267 0.107 0.170 0.049

Problem 359

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

83 82 72 74 77 93 80 92 93 79

N.S.

1 0.99 0.87 0.89 0.93 1.12 0.96 1.11 1.12 0.95

time (sec)

N/A 0.420 0.015 0.084 0.034 0.154 0.131 0.103 0.166 19.390

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

70 68 60 63 65 81 66 80 81 68

N.S.

1 0.97 0.86 0.90 0.93 1.16 0.94 1.14 1.16 0.97

time (sec)

N/A 0.396 0.017 0.076 0.028 0.186 0.124 0.110 0.173 0.043

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

57 56 49 53 54 70 53 67 70 57

N.S.

1 0.98 0.86 0.93 0.95 1.23 0.93 1.18 1.23 1.00

time (sec)

N/A 0.364 0.012 0.096 0.027 0.120 0.118 0.108 0.166 0.054

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

44 43 38 41 43 56 39 49 57 45

N.S.

1 0.98 0.86 0.93 0.98 1.27 0.89 1.11 1.30 1.02

time (sec)

N/A 0.333 0.012 0.062 0.034 0.119 0.103 0.126 0.166 19.210

Problem 363

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

33 31 27 30 32 35 29 30 44 29

N.S.

1 0.94 0.82 0.91 0.97 1.06 0.88 0.91 1.33 0.88

time (sec)

N/A 0.317 0.009 0.056 0.030 0.104 0.083 0.154 0.167 0.050

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

16 16 16 15 15 15 15 14 17 14

N.S.

1 1.00 1.00 0.94 0.94 0.94 0.94 0.88 1.06 0.88

time (sec)

N/A 0.258 0.002 0.050 0.026 0.085 0.064 0.164 0.164 0.031

Problem 365

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 39 33 35 37 47 34 47 59 34

N.S.

1 1.03 0.87 0.92 0.97 1.24 0.89 1.24 1.55 0.89

time (sec)

N/A 0.332 0.010 0.076 0.028 0.103 0.136 0.110 0.171 0.058

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

49 52 41 51 52 73 51 51 81 51

N.S.

1 1.06 0.84 1.04 1.06 1.49 1.04 1.04 1.65 1.04

time (sec)

N/A 0.359 0.024 0.089 0.030 0.153 0.169 0.156 0.161 0.075

Problem 367

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

66 68 57 65 70 90 68 86 94 67

N.S.

1 1.03 0.86 0.98 1.06 1.36 1.03 1.30 1.42 1.02

time (sec)

N/A 0.376 0.039 0.097 0.034 0.117 0.203 0.129 0.160 0.074

Problem 368

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

88 95 82 76 82 212 134 84 107 77

N.S.

1 1.08 0.93 0.86 0.93 2.41 1.52 0.95 1.22 0.88

time (sec)

N/A 0.399 0.039 0.099 0.106 0.097 0.146 0.152 0.174 19.469

Problem 369

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

78 82 71 65 71 190 124 73 96 66

N.S.

1 1.05 0.91 0.83 0.91 2.44 1.59 0.94 1.23 0.85

time (sec)

N/A 0.379 0.034 0.086 0.111 0.273 0.137 0.113 0.167 0.039

Problem 370

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

65 69 60 54 59 164 107 61 83 56

N.S.

1 1.06 0.92 0.83 0.91 2.52 1.65 0.94 1.28 0.86

time (sec)

N/A 0.361 0.032 0.078 0.109 0.100 0.128 0.135 0.167 0.059

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

51 58 51 42 45 136 83 42 69 43

N.S.

1 1.14 1.00 0.82 0.88 2.67 1.63 0.82 1.35 0.84

time (sec)

N/A 0.315 0.024 0.072 0.117 0.159 0.114 0.152 0.167 18.857

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

45 45 45 36 36 120 78 35 62 33

N.S.

1 1.00 1.00 0.80 0.80 2.67 1.73 0.78 1.38 0.73

time (sec)

N/A 0.287 0.015 0.075 0.110 0.104 0.089 0.106 0.163 0.043

Problem 373

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

45 52 45 36 35 120 78 35 61 33

N.S.

1 1.16 1.00 0.80 0.78 2.67 1.73 0.78 1.36 0.73

time (sec)

N/A 0.282 0.016 0.064 0.103 0.207 0.095 0.118 0.172 18.397

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

54 61 54 45 49 136 92 47 72 44

N.S.

1 1.13 1.00 0.83 0.91 2.52 1.70 0.87 1.33 0.81

time (sec)

N/A 0.302 0.027 0.099 0.107 0.203 0.135 0.163 0.166 0.075

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

67 78 67 55 64 172 114 59 88 58

N.S.

1 1.16 1.00 0.82 0.96 2.57 1.70 0.88 1.31 0.87

time (sec)

N/A 0.326 0.028 0.125 0.106 0.083 0.161 0.119 0.165 18.401

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

80 95 80 67 75 198 126 70 101 70

N.S.

1 1.19 1.00 0.84 0.94 2.48 1.58 0.88 1.26 0.88

time (sec)

N/A 0.350 0.032 0.119 0.105 0.092 0.186 0.168 0.173 18.227

Problem 377

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

91 95 78 76 99 137 100 91 147 98

N.S.

1 1.04 0.86 0.84 1.09 1.51 1.10 1.00 1.62 1.08

time (sec)

N/A 0.424 0.023 0.142 0.031 0.079 0.284 0.103 0.167 17.762

Problem 378

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

77 79 59 65 88 124 90 73 134 88

N.S.

1 1.03 0.77 0.84 1.14 1.61 1.17 0.95 1.74 1.14

time (sec)

N/A 0.406 0.040 0.099 0.027 0.080 0.250 0.106 0.168 17.657

Problem 379

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

71 70 50 54 77 102 76 53 122 75

N.S.

1 0.99 0.70 0.76 1.08 1.44 1.07 0.75 1.72 1.06

time (sec)

N/A 0.379 0.014 0.091 0.027 0.067 0.209 0.123 0.169 0.072

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 35 37 58 58 60 33 39 60

N.S.

1 1.00 1.84 1.95 3.05 3.05 3.16 1.74 2.05 3.16

time (sec)

N/A 0.259 0.011 0.087 0.031 0.071 0.176 0.155 0.165 0.040

Problem 381

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 38 24 26 47 47 48 22 46 48

N.S.

1 1.12 0.71 0.76 1.38 1.38 1.41 0.65 1.35 1.41

time (sec)

N/A 0.318 0.007 0.088 0.033 0.062 0.155 0.143 0.171 0.035

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 15 37 37 39 14 36 39

N.S.

1 1.00 1.00 0.94 2.31 2.31 2.44 0.88 2.25 2.44

time (sec)

N/A 0.259 0.002 0.082 0.027 0.063 0.141 0.135 0.164 0.038

Problem 383

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

70 71 54 63 82 134 80 70 161 78

N.S.

1 1.01 0.77 0.90 1.17 1.91 1.14 1.00 2.30 1.11

time (sec)

N/A 0.382 0.028 0.113 0.027 0.069 0.242 0.119 0.164 0.073

Problem 384

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

84 84 70 76 99 163 102 93 187 97

N.S.

1 1.00 0.83 0.90 1.18 1.94 1.21 1.11 2.23 1.15

time (sec)

N/A 0.412 0.044 0.130 0.028 0.067 0.288 0.131 0.171 17.482

Problem 385

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

101 107 85 89 114 178 116 108 202 111

N.S.

1 1.06 0.84 0.88 1.13 1.76 1.15 1.07 2.00 1.10

time (sec)

N/A 0.452 0.044 0.139 0.035 0.069 0.313 0.161 0.168 17.425

Problem 386

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

118 136 99 85 116 322 172 96 194 109

N.S.

1 1.15 0.84 0.72 0.98 2.73 1.46 0.81 1.64 0.92

time (sec)

N/A 0.456 0.037 0.125 0.112 0.072 0.291 0.127 0.161 0.059

Problem 387

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

105 123 89 74 104 296 156 84 181 99

N.S.

1 1.17 0.85 0.70 0.99 2.82 1.49 0.80 1.72 0.94

time (sec)

N/A 0.427 0.032 0.109 0.110 0.071 0.279 0.136 0.163 0.076

Problem 388

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

91 112 77 62 90 268 131 65 167 86

N.S.

1 1.23 0.85 0.68 0.99 2.95 1.44 0.71 1.84 0.95

time (sec)

N/A 0.387 0.032 0.101 0.107 0.073 0.252 0.115 0.162 17.423

Problem 389

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

83 99 66 58 81 254 134 56 162 78

N.S.

1 1.19 0.80 0.70 0.98 3.06 1.61 0.67 1.95 0.94

time (sec)

N/A 0.361 0.027 0.108 0.106 0.071 0.209 0.116 0.160 17.205

Problem 390

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

84 97 69 58 87 258 143 62 162 75

N.S.

1 1.15 0.82 0.69 1.04 3.07 1.70 0.74 1.93 0.89

time (sec)

N/A 0.351 0.033 0.109 0.105 0.104 0.188 0.132 0.159 17.191

Problem 391

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

85 95 69 58 87 258 139 62 162 74

N.S.

1 1.12 0.81 0.68 1.02 3.04 1.64 0.73 1.91 0.87

time (sec)

N/A 0.335 0.028 0.111 0.104 0.083 0.184 0.168 0.160 17.070

Problem 392

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

79 114 66 78 80 254 129 56 162 77

N.S.

1 1.44 0.84 0.99 1.01 3.22 1.63 0.71 2.05 0.97

time (sec)

N/A 0.348 0.024 0.095 0.106 0.086 0.186 0.132 0.154 17.288

Problem 393

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

90 115 79 65 93 268 139 68 170 88

N.S.

1 1.28 0.88 0.72 1.03 2.98 1.54 0.76 1.89 0.98

time (sec)

N/A 0.372 0.029 0.135 0.116 0.080 0.250 0.127 0.154 17.433

Problem 394

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

107 132 91 75 108 304 162 82 186 102

N.S.

1 1.23 0.85 0.70 1.01 2.84 1.51 0.77 1.74 0.95

time (sec)

N/A 0.403 0.035 0.152 0.113 0.085 0.276 0.123 0.147 17.663

Problem 395

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

120 149 101 87 119 330 173 93 199 114

N.S.

1 1.24 0.84 0.72 0.99 2.75 1.44 0.78 1.66 0.95

time (sec)

N/A 0.436 0.037 0.164 0.111 0.084 0.305 0.135 0.154 0.158

Problem 396

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

133 131 114 98 143 203 150 113 229 142

N.S.

1 0.98 0.86 0.74 1.08 1.53 1.13 0.85 1.72 1.07

time (sec)

N/A 0.512 0.017 0.190 0.043 0.063 0.450 0.106 0.149 17.749

Problem 397

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

118 115 101 87 132 190 138 95 216 132

N.S.

1 0.97 0.86 0.74 1.12 1.61 1.17 0.81 1.83 1.12

time (sec)

N/A 0.508 0.019 0.142 0.043 0.070 0.428 0.167 0.154 17.402

Problem 398

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

109 106 72 76 121 168 124 75 204 119

N.S.

1 0.97 0.66 0.70 1.11 1.54 1.14 0.69 1.87 1.09

time (sec)

N/A 0.449 0.019 0.129 0.034 0.065 0.365 0.152 0.149 0.115

Problem 399

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 57 59 102 102 107 55 61 104

N.S.

1 1.00 3.00 3.11 5.37 5.37 5.63 2.89 3.21 5.47

time (sec)

N/A 0.265 0.014 0.125 0.027 0.075 0.315 0.110 0.152 0.049

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 43 46 48 91 91 95 44 90 93

N.S.

1 1.10 1.18 1.23 2.33 2.33 2.44 1.13 2.31 2.38

time (sec)

N/A 0.289 0.011 0.125 0.037 0.061 0.285 0.107 0.159 17.861

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