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 B A A A B B

verified

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

size

22 37 26 28 69 24 26 24 28 23

N.S.

1 1.68 1.18 1.27 3.14 1.09 1.18 1.09 1.27 1.05

time (sec)

N/A 0.268 0.109 0.080 0.028 0.106 0.065 0.113 0.175 0.031

Problem 302

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 0 15 15 14 14 14 14 15 14

N.S.

1 0.00 0.88 0.88 0.82 0.82 0.82 0.82 0.88 0.82

time (sec)

N/A 0.000 0.229 0.138 0.171 0.078 0.065 0.123 0.171 2.695

Problem 303

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 0 23 129 0 21 20 24 100 24

N.S.

1 0.00 0.96 5.38 0.00 0.88 0.83 1.00 4.17 1.00

time (sec)

N/A 0.000 1.462 0.019 0.000 0.089 5.976 0.167 200.023 3.054

Problem 304

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 25 21 22 21 21 20 28 25 0

N.S.

1 0.89 0.75 0.79 0.75 0.75 0.71 1.00 0.89 0.00

time (sec)

N/A 0.591 0.040 2.375 0.157 0.091 0.073 0.148 0.188 0.000

Problem 305

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 64 17 18 44 16 15 22 28 46

N.S.

1 3.37 0.89 0.95 2.32 0.84 0.79 1.16 1.47 2.42

time (sec)

N/A 0.289 0.088 0.261 0.211 0.081 0.153 0.174 0.176 2.721

Problem 306

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 164 33 31 50 52 31 78 129 0

N.S.

1 4.56 0.92 0.86 1.39 1.44 0.86 2.17 3.58 0.00

time (sec)

N/A 1.847 0.068 1.935 0.169 0.088 0.091 0.136 0.182 0.000

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

24 25 25 25 24 24 20 24 25 24

N.S.

1 1.04 1.04 1.04 1.00 1.00 0.83 1.00 1.04 1.00

time (sec)

N/A 0.764 0.098 0.487 0.209 0.078 0.103 0.114 0.178 3.031

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

23 27 27 18 15 15 27 15 16 22

N.S.

1 1.17 1.17 0.78 0.65 0.65 1.17 0.65 0.70 0.96

time (sec)

N/A 0.169 0.002 0.042 0.030 0.088 0.100 0.119 0.180 0.025

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

16 17 17 17 16 16 15 16 17 16

N.S.

1 1.06 1.06 1.06 1.00 1.00 0.94 1.00 1.06 1.00

time (sec)

N/A 0.149 0.002 0.085 0.032 0.083 0.039 0.111 0.181 2.692

Problem 310

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 51 18 21 372 21 20 35 20 16

N.S.

1 2.83 1.00 1.17 20.67 1.17 1.11 1.94 1.11 0.89

time (sec)

N/A 0.572 0.837 0.316 0.131 0.081 0.093 0.121 0.195 0.056

Problem 311

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 29 29 22 31 20 19 20 20 20

N.S.

1 1.45 1.45 1.10 1.55 1.00 0.95 1.00 1.00 1.00

time (sec)

N/A 0.251 0.070 0.123 0.064 0.077 0.084 0.116 0.186 0.051

Problem 312

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 28 29 37 27 36 34 0 54 29

N.S.

1 0.93 0.97 1.23 0.90 1.20 1.13 0.00 1.80 0.97

time (sec)

N/A 2.002 1.007 91.694 0.154 0.085 0.304 0.000 0.187 2.790

Problem 313

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 0 14 15 15 18 15 18 18 18

N.S.

1 0.00 1.00 1.07 1.07 1.29 1.07 1.29 1.29 1.29

time (sec)

N/A 0.000 0.072 0.711 0.137 0.076 0.061 0.123 0.187 2.978

Problem 314

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 0 43 48 44 42 60 54 60 179

N.S.

1 0.00 1.23 1.37 1.26 1.20 1.71 1.54 1.71 5.11

time (sec)

N/A 0.000 0.065 0.023 0.096 0.089 0.123 0.126 0.216 3.105

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

22 19 19 20 19 21 17 19 21 19

N.S.

1 0.86 0.86 0.91 0.86 0.95 0.77 0.86 0.95 0.86

time (sec)

N/A 0.189 0.001 0.028 0.028 0.070 0.028 0.111 0.188 0.021

Problem 316

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 28 25 585 42 24 44 43 0

N.S.

1 0.00 1.08 0.96 22.50 1.62 0.92 1.69 1.65 0.00

time (sec)

N/A 0.000 1.371 0.658 0.193 0.089 0.102 0.168 0.186 0.000

Problem 317

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 55 24 23 42 21 27 21 24 22

N.S.

1 2.39 1.04 1.00 1.83 0.91 1.17 0.91 1.04 0.96

time (sec)

N/A 1.216 1.041 1.826 0.073 0.094 0.334 0.129 0.185 3.723

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

22 21 21 21 20 20 19 22 21 20

N.S.

1 0.95 0.95 0.95 0.91 0.91 0.86 1.00 0.95 0.91

time (sec)

N/A 0.383 0.012 0.092 0.028 0.073 0.462 0.114 0.182 3.777

Problem 319

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 82 68 94 189 152 104 199 211 170

N.S.

1 3.73 3.09 4.27 8.59 6.91 4.73 9.05 9.59 7.73

time (sec)

N/A 1.522 0.077 0.086 0.093 0.092 0.110 0.138 0.195 3.865

Problem 320

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 0 20 58 107 26 39 38 40 41

N.S.

1 0.00 1.00 2.90 5.35 1.30 1.95 1.90 2.00 2.05

time (sec)

N/A 0.000 0.366 0.029 0.107 0.081 0.187 0.140 0.187 3.651

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

13 15 12 15 14 25 10 14 52 28

N.S.

1 1.15 0.92 1.15 1.08 1.92 0.77 1.08 4.00 2.15

time (sec)

N/A 0.237 0.129 0.224 0.028 0.083 0.056 0.126 0.183 3.808

Problem 322

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 54 22 20 0 23 19 27 26 18

N.S.

1 2.45 1.00 0.91 0.00 1.05 0.86 1.23 1.18 0.82

time (sec)

N/A 0.390 0.045 0.198 0.000 0.075 0.107 0.115 0.184 3.610

Problem 323

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 0 42 28 0 40 34 0 58 73

N.S.

1 0.00 1.50 1.00 0.00 1.43 1.21 0.00 2.07 2.61

time (sec)

N/A 0.000 0.150 4.062 0.000 0.087 6.130 0.000 0.188 3.487

Problem 324

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 0 25 24 26 22 20 0 24 0

N.S.

1 0.00 1.00 0.96 1.04 0.88 0.80 0.00 0.96 0.00

time (sec)

N/A 0.000 0.072 19.388 0.101 0.093 0.137 0.000 0.185 0.000

Problem 325

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 0 42 42 63 42 41 42 45 121

N.S.

1 0.00 1.40 1.40 2.10 1.40 1.37 1.40 1.50 4.03

time (sec)

N/A 0.000 0.047 2.591 0.291 0.090 4.844 0.813 0.194 3.540

Problem 326

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 99 32 37 147 44 32 42 40 40

N.S.

1 3.54 1.14 1.32 5.25 1.57 1.14 1.50 1.43 1.43

time (sec)

N/A 0.627 0.076 0.502 0.096 0.109 0.126 0.128 0.194 2.587

Problem 327

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 101 41 27 30 28 26 29 33 33

N.S.

1 2.89 1.17 0.77 0.86 0.80 0.74 0.83 0.94 0.94

time (sec)

N/A 0.519 1.545 0.188 0.317 0.076 0.219 0.160 0.179 2.968

Problem 328

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 54 13 13 12 12 12 0 16 12

N.S.

1 3.60 0.87 0.87 0.80 0.80 0.80 0.00 1.07 0.80

time (sec)

N/A 0.316 0.088 0.160 0.097 0.082 6.781 0.000 0.183 2.777

Problem 329

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 0 35 0 32 27 53 46 0

N.S.

1 0.00 0.00 1.09 0.00 1.00 0.84 1.66 1.44 0.00

time (sec)

N/A 0.000 0.000 1.924 0.000 0.087 0.420 0.121 0.190 0.000

Problem 330

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 0 31 23 26 28 22 26 29 46

N.S.

1 0.00 1.29 0.96 1.08 1.17 0.92 1.08 1.21 1.92

time (sec)

N/A 0.000 0.210 1.654 0.058 0.085 0.083 0.133 0.183 2.766

Problem 331

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

26 34 43 43 78 62 60 48 47 32

N.S.

1 1.31 1.65 1.65 3.00 2.38 2.31 1.85 1.81 1.23

time (sec)

N/A 1.657 0.091 0.912 0.146 0.086 0.231 0.117 0.184 2.573

Problem 332

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 0 19 0 18 0 18 20 19

N.S.

1 0.00 0.00 0.73 0.00 0.69 0.00 0.69 0.77 0.73

time (sec)

N/A 0.000 0.000 0.133 0.000 0.087 0.000 0.113 0.188 2.619

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

28 24 25 22 21 22 22 21 22 20

N.S.

1 0.86 0.89 0.79 0.75 0.79 0.79 0.75 0.79 0.71

time (sec)

N/A 0.170 0.005 0.063 0.026 0.087 0.054 0.110 0.185 0.028

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 Yes TBD TBD TBD TBD TBD TBD

size

11 5 5 6 5 5 3 5 5 5

N.S.

1 0.45 0.45 0.55 0.45 0.45 0.27 0.45 0.45 0.45

time (sec)

N/A 0.132 0.000 0.017 0.026 0.068 0.021 0.112 0.182 0.018

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 Yes TBD TBD TBD TBD TBD TBD

size

36 30 31 27 26 26 34 26 29 24

N.S.

1 0.83 0.86 0.75 0.72 0.72 0.94 0.72 0.81 0.67

time (sec)

N/A 0.188 0.009 0.098 0.031 0.089 0.098 0.113 0.182 0.026

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 Yes TBD TBD TBD TBD TBD TBD

size

20 18 18 18 17 17 14 17 18 17

N.S.

1 0.90 0.90 0.90 0.85 0.85 0.70 0.85 0.90 0.85

time (sec)

N/A 0.190 0.008 0.153 0.025 0.080 0.051 0.112 0.181 0.028

Problem 337

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

22 28 24 33 29 31 56 35 37 31

N.S.

1 1.27 1.09 1.50 1.32 1.41 2.55 1.59 1.68 1.41

time (sec)

N/A 1.503 0.037 0.865 0.073 0.080 0.416 0.168 0.184 2.687

Problem 338

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 52 45 58 38 51 36 60 569 36

N.S.

1 1.58 1.36 1.76 1.15 1.55 1.09 1.82 17.24 1.09

time (sec)

N/A 4.371 0.112 69.616 0.176 0.093 0.528 0.174 0.241 2.642

Problem 339

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 0 32 35 44 44 29 78 52 32

N.S.

1 0.00 1.39 1.52 1.91 1.91 1.26 3.39 2.26 1.39

time (sec)

N/A 0.000 0.025 9.693 0.165 0.106 0.076 0.568 0.183 0.166

Problem 340

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 36 32 22 31 43 29 24 33 24

N.S.

1 1.71 1.52 1.05 1.48 2.05 1.38 1.14 1.57 1.14

time (sec)

N/A 0.273 0.015 0.092 0.039 0.084 0.091 0.112 0.184 0.046

Problem 341

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

29 28 28 28 25 42 24 59 59 27

N.S.

1 0.97 0.97 0.97 0.86 1.45 0.83 2.03 2.03 0.93

time (sec)

N/A 0.444 0.062 0.579 0.067 0.098 0.056 0.130 0.183 2.516

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

29 27 27 26 26 25 24 26 54 23

N.S.

1 0.93 0.93 0.90 0.90 0.86 0.83 0.90 1.86 0.79

time (sec)

N/A 0.507 0.038 1.259 0.081 0.083 0.153 0.134 0.188 2.585

Problem 343

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 25 26 25 31 27 25 27 0

N.S.

1 0.00 0.96 1.00 0.96 1.19 1.04 0.96 1.04 0.00

time (sec)

N/A 0.000 0.286 0.426 0.087 0.084 0.107 0.133 0.188 0.000

Problem 344

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 86 35 1157 71 43 76 88 119 46

N.S.

1 2.77 1.13 37.32 2.29 1.39 2.45 2.84 3.84 1.48

time (sec)

N/A 3.894 0.059 0.148 0.154 0.090 0.306 0.148 0.184 2.586

Problem 345

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 29 22 90 76 0 103 112 0

N.S.

1 0.00 1.12 0.85 3.46 2.92 0.00 3.96 4.31 0.00

time (sec)

N/A 0.000 2.060 1.743 0.112 0.095 0.000 0.132 0.183 0.000

Problem 346

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 29 31 35 30 34 30 25 23

N.S.

1 0.00 1.12 1.19 1.35 1.15 1.31 1.15 0.96 0.88

time (sec)

N/A 0.000 2.860 0.832 0.087 0.078 0.086 0.146 0.188 2.658

Problem 347

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

13 82 13 12 22 11 0 19 13 78

N.S.

1 6.31 1.00 0.92 1.69 0.85 0.00 1.46 1.00 6.00

time (sec)

N/A 0.654 0.464 0.086 0.073 0.093 0.000 0.122 0.182 2.714

Problem 348

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 16 16 13 57 16 12 14 14 14

N.S.

1 0.76 0.76 0.62 2.71 0.76 0.57 0.67 0.67 0.67

time (sec)

N/A 0.191 0.069 0.075 0.109 0.081 0.058 0.114 0.187 2.911

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

23 27 30 23 22 22 19 22 27 24

N.S.

1 1.17 1.30 1.00 0.96 0.96 0.83 0.96 1.17 1.04

time (sec)

N/A 0.163 0.005 0.102 0.034 0.081 0.044 0.111 0.184 2.831

Problem 350

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 55 30 26 25 32 31 25 23 21

N.S.

1 2.29 1.25 1.08 1.04 1.33 1.29 1.04 0.96 0.88

time (sec)

N/A 0.200 0.023 0.128 0.032 0.090 0.072 0.108 0.190 2.761

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 Yes TBD TBD TBD TBD TBD TBD

size

11 8 8 9 8 8 7 9 8 8

N.S.

1 0.73 0.73 0.82 0.73 0.73 0.64 0.82 0.73 0.73

time (sec)

N/A 0.143 0.001 0.023 0.026 0.073 0.029 0.112 0.189 0.010

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

19 10 10 10 9 9 10 9 10 9

N.S.

1 0.53 0.53 0.53 0.47 0.47 0.53 0.47 0.53 0.47

time (sec)

N/A 0.134 0.000 0.050 0.025 0.078 0.014 0.121 0.196 0.001

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

23 25 23 19 18 24 15 18 33 21

N.S.

1 1.09 1.00 0.83 0.78 1.04 0.65 0.78 1.43 0.91

time (sec)

N/A 0.312 0.033 0.130 0.026 0.079 0.134 0.126 0.183 2.570

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

13 6 6 7 6 6 5 7 6 6

N.S.

1 0.46 0.46 0.54 0.46 0.46 0.38 0.54 0.46 0.46

time (sec)

N/A 0.146 0.001 0.022 0.027 0.066 0.029 0.112 0.186 0.008

Problem 355

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 0 34 32 357 30 27 0 62 46

N.S.

1 0.00 1.03 0.97 10.82 0.91 0.82 0.00 1.88 1.39

time (sec)

N/A 0.000 0.151 0.967 0.232 0.088 11.844 0.000 0.187 3.148

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

22 17 16 14 14 14 14 14 15 14

N.S.

1 0.77 0.73 0.64 0.64 0.64 0.64 0.64 0.68 0.64

time (sec)

N/A 0.325 0.018 0.061 0.035 0.082 0.044 0.116 0.186 0.038

Problem 357

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 22 22 16 79 21 15 25 25 21

N.S.

1 1.38 1.38 1.00 4.94 1.31 0.94 1.56 1.56 1.31

time (sec)

N/A 0.421 0.019 1.123 0.032 0.097 0.083 0.121 0.195 2.728

Problem 358

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 98 51 44 81 40 48 41 44 42

N.S.

1 2.97 1.55 1.33 2.45 1.21 1.45 1.24 1.33 1.27

time (sec)

N/A 0.355 0.012 0.510 0.038 0.081 0.136 0.115 0.182 2.626

Problem 359

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 58 24 16 15 30 15 34 43 19

N.S.

1 3.05 1.26 0.84 0.79 1.58 0.79 1.79 2.26 1.00

time (sec)

N/A 0.403 0.287 0.366 0.160 0.085 0.070 0.116 0.194 0.087

Problem 360

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 0 21 21 30 34 19 30 37 20

N.S.

1 0.00 0.84 0.84 1.20 1.36 0.76 1.20 1.48 0.80

time (sec)

N/A 0.000 0.127 0.556 0.062 0.084 0.076 0.125 0.183 3.306

Problem 361

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 42 40 28 40 23 27 28 23 16

N.S.

1 2.62 2.50 1.75 2.50 1.44 1.69 1.75 1.44 1.00

time (sec)

N/A 0.235 0.015 0.391 0.028 0.088 0.067 0.110 0.189 2.902

Problem 362

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 0 40 0 42 34 0 41 38

N.S.

1 0.00 0.00 1.54 0.00 1.62 1.31 0.00 1.58 1.46

time (sec)

N/A 0.000 0.000 3.551 0.000 0.097 0.443 0.000 0.212 3.002

Problem 363

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 22 22 28 51 28 54 25 75 29

N.S.

1 1.22 1.22 1.56 2.83 1.56 3.00 1.39 4.17 1.61

time (sec)

N/A 0.283 0.021 0.374 0.160 0.086 0.401 0.122 0.193 2.739

Problem 364

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 61 51 24 183 16 31 58 66 16

N.S.

1 2.77 2.32 1.09 8.32 0.73 1.41 2.64 3.00 0.73

time (sec)

N/A 0.376 0.038 0.441 0.121 0.100 0.129 0.133 0.187 3.080

Problem 365

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 36 36 29 64 36 42 35 37 192

N.S.

1 1.29 1.29 1.04 2.29 1.29 1.50 1.25 1.32 6.86

time (sec)

N/A 1.262 0.758 3.244 0.150 0.081 0.164 0.114 0.191 3.161

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

22 21 21 21 20 23 14 23 23 20

N.S.

1 0.95 0.95 0.95 0.91 1.05 0.64 1.05 1.05 0.91

time (sec)

N/A 0.192 0.010 0.209 0.030 0.088 0.050 0.112 0.188 2.717

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

12 18 11 11 16 10 14 10 16 14

N.S.

1 1.50 0.92 0.92 1.33 0.83 1.17 0.83 1.33 1.17

time (sec)

N/A 0.161 0.027 0.047 0.027 0.078 0.044 0.111 0.184 0.036

Problem 368

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 33 31 28 28 42 43 31 0

N.S.

1 0.00 1.03 0.97 0.88 0.88 1.31 1.34 0.97 0.00

time (sec)

N/A 0.000 4.045 0.331 0.113 0.088 0.140 0.681 0.202 0.000

Problem 369

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 0 23 28 23 23 24 23 35 26

N.S.

1 0.00 0.77 0.93 0.77 0.77 0.80 0.77 1.17 0.87

time (sec)

N/A 0.000 1.428 0.606 0.143 0.087 0.279 0.119 0.229 2.699

Problem 370

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 0 20 20 18 18 17 18 20 0

N.S.

1 0.00 0.91 0.91 0.82 0.82 0.77 0.82 0.91 0.00

time (sec)

N/A 0.000 0.194 0.739 0.085 0.079 0.121 0.137 0.185 0.000

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 14 12 10 13 13 10 13 8 12

N.S.

1 0.82 0.71 0.59 0.76 0.76 0.59 0.76 0.47 0.71

time (sec)

N/A 0.138 0.000 0.024 0.026 0.059 0.021 0.119 0.190 2.583

Problem 372

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 0 30 24 23 36 22 45 50 0

N.S.

1 0.00 1.03 0.83 0.79 1.24 0.76 1.55 1.72 0.00

time (sec)

N/A 0.000 3.690 0.311 0.096 0.090 0.079 0.134 0.184 0.000

Problem 373

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 0 0 46 43 28 31 40 42 0

N.S.

1 0.00 0.00 1.70 1.59 1.04 1.15 1.48 1.56 0.00

time (sec)

N/A 0.000 0.000 1.582 0.087 0.082 0.110 0.136 0.197 0.000

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

11 9 9 8 7 7 5 7 11 8

N.S.

1 0.82 0.82 0.73 0.64 0.64 0.45 0.64 1.00 0.73

time (sec)

N/A 0.181 0.007 0.027 0.032 0.071 0.047 0.108 0.195 0.022

Problem 375

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 33 20 29 40 26 34 32 35 33

N.S.

1 1.27 0.77 1.12 1.54 1.00 1.31 1.23 1.35 1.27

time (sec)

N/A 0.247 0.021 0.386 0.060 0.081 0.080 0.117 0.192 2.676

Problem 376

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 0 29 30 0 29 26 29 94 31

N.S.

1 0.00 0.88 0.91 0.00 0.88 0.79 0.88 2.85 0.94

time (sec)

N/A 0.000 0.073 0.845 0.000 0.082 0.146 0.146 0.196 2.938

Problem 377

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 69 12 11 39 13 10 13 13 13

N.S.

1 3.45 0.60 0.55 1.95 0.65 0.50 0.65 0.65 0.65

time (sec)

N/A 0.418 0.017 0.131 0.032 0.077 0.049 0.115 0.198 2.645

Problem 378

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 24 21 22 148 21 24 21 175 21

N.S.

1 1.71 1.50 1.57 10.57 1.50 1.71 1.50 12.50 1.50

time (sec)

N/A 0.421 0.043 2.112 0.165 0.085 0.073 0.133 0.187 0.354

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

32 27 24 26 25 26 19 25 26 27

N.S.

1 0.84 0.75 0.81 0.78 0.81 0.59 0.78 0.81 0.84

time (sec)

N/A 0.222 0.006 0.053 0.031 0.068 0.044 0.108 0.190 2.791

Problem 380

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 0 0 42 53 45 36 51 52 48

N.S.

1 0.00 0.00 1.14 1.43 1.22 0.97 1.38 1.41 1.30

time (sec)

N/A 0.000 0.000 110.589 0.194 0.090 0.538 0.221 0.410 0.373

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

10 15 15 9 14 14 17 14 12 8

N.S.

1 1.50 1.50 0.90 1.40 1.40 1.70 1.40 1.20 0.80

time (sec)

N/A 0.144 0.001 0.036 0.028 0.077 0.019 0.116 0.189 2.560

Problem 382

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 25 23 102 21 24 80 25 149

N.S.

1 0.00 0.96 0.88 3.92 0.81 0.92 3.08 0.96 5.73

time (sec)

N/A 0.000 0.185 0.687 0.180 0.077 0.124 0.251 0.187 3.086

Problem 383

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 31 27 78 23 26 24 23 30 30

N.S.

1 1.11 0.96 2.79 0.82 0.93 0.86 0.82 1.07 1.07

time (sec)

N/A 0.647 0.028 103.882 0.191 0.083 0.351 0.137 0.198 2.958

Problem 384

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 0 21 22 63 21 22 24 24 21

N.S.

1 0.00 0.81 0.85 2.42 0.81 0.85 0.92 0.92 0.81

time (sec)

N/A 0.000 0.090 0.421 0.212 0.097 0.228 0.214 0.185 2.719

Problem 385

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 0 35 30 65 31 24 31 363 29

N.S.

1 0.00 1.17 1.00 2.17 1.03 0.80 1.03 12.10 0.97

time (sec)

N/A 0.000 5.045 0.139 0.147 0.092 0.098 0.119 0.325 2.734

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

25 34 27 27 31 31 24 31 28 26

N.S.

1 1.36 1.08 1.08 1.24 1.24 0.96 1.24 1.12 1.04

time (sec)

N/A 0.187 0.133 0.145 0.028 0.083 0.088 0.115 0.190 2.743

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

13 10 19 7 8 8 7 13 7 6

N.S.

1 0.77 1.46 0.54 0.62 0.62 0.54 1.00 0.54 0.46

time (sec)

N/A 0.144 0.002 0.059 0.030 0.067 0.042 0.114 0.186 2.718

Problem 388

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 49 46 44 44 42 46 52 0

N.S.

1 0.00 1.53 1.44 1.38 1.38 1.31 1.44 1.62 0.00

time (sec)

N/A 0.000 0.137 60.465 0.284 0.082 5.357 1.177 0.409 0.000

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

21 21 21 16 15 17 17 17 15 15

N.S.

1 1.00 1.00 0.76 0.71 0.81 0.81 0.81 0.71 0.71

time (sec)

N/A 0.221 0.005 0.067 0.025 0.070 0.040 0.113 0.184 0.024

Problem 390

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 0 31 30 50 66 34 54 49 48

N.S.

1 0.00 0.97 0.94 1.56 2.06 1.06 1.69 1.53 1.50

time (sec)

N/A 0.000 0.065 0.128 0.088 0.085 0.104 0.144 0.283 3.251

Problem 391

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 174 32 36 368 86 105 103 89 31

N.S.

1 6.69 1.23 1.38 14.15 3.31 4.04 3.96 3.42 1.19

time (sec)

N/A 0.828 1.302 0.293 0.052 0.081 0.105 0.124 0.185 3.115

Problem 392

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 0 66 23 106 113 60 130 394 0

N.S.

1 0.00 2.36 0.82 3.79 4.04 2.14 4.64 14.07 0.00

time (sec)

N/A 0.000 3.730 3.258 0.105 0.088 0.185 0.394 0.199 0.000

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

30 26 29 22 19 19 44 19 24 17

N.S.

1 0.87 0.97 0.73 0.63 0.63 1.47 0.63 0.80 0.57

time (sec)

N/A 0.177 0.003 0.087 0.026 0.081 0.082 0.115 0.199 3.077

Problem 394

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 0 34 28 27 29 29 0 107 27

N.S.

1 0.00 0.97 0.80 0.77 0.83 0.83 0.00 3.06 0.77

time (sec)

N/A 0.000 0.163 0.103 0.495 0.089 22.717 0.000 200.034 3.411

Problem 395

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 299 158 47 606 45 51 45 165 400

N.S.

1 11.50 6.08 1.81 23.31 1.73 1.96 1.73 6.35 15.38

time (sec)

N/A 0.827 0.257 1.769 0.119 0.094 0.105 0.120 0.196 0.724

Problem 396

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 217 111 128 219 131 122 230 225 207

N.S.

1 7.48 3.83 4.41 7.55 4.52 4.21 7.93 7.76 7.14

time (sec)

N/A 1.609 0.053 7.668 0.097 0.084 0.128 0.127 0.169 3.584

Problem 397

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 66 60 80 67 151 76 16 186 84

N.S.

1 3.00 2.73 3.64 3.05 6.86 3.45 0.73 8.45 3.82

time (sec)

N/A 0.467 0.037 0.592 0.038 0.076 0.551 0.118 0.168 3.043

Problem 398

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 39 39 39 36 36 36 38 232 36

N.S.

1 1.86 1.86 1.86 1.71 1.71 1.71 1.81 11.05 1.71

time (sec)

N/A 0.504 0.035 0.569 0.035 0.083 5.219 0.130 0.173 3.026

Problem 399

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 11 9 8 9 9 7 9 7 7

N.S.

1 0.55 0.45 0.40 0.45 0.45 0.35 0.45 0.35 0.35

time (sec)

N/A 0.132 0.000 0.018 0.029 0.059 0.021 0.114 0.171 0.017

Problem 400

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 3127 49 29 60 28 24 60 24 25

N.S.

1 130.29 2.04 1.21 2.50 1.17 1.00 2.50 1.00 1.04

time (sec)

N/A 7.142 1.139 2.105 0.640 0.081 0.101 0.309 0.178 3.239