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2.2.17 Integrals 1601 to 1700

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 1601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 53 20 18 85 20 22 23 24

N.S.

1 2.41 0.91 0.82 3.86 0.91 1.00 1.05 1.09

time (sec)

N/A 0.444 0.062 0.174 0.328 0.321 0.116 0.280 13.297

Problem 1602

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

23 29 19 26 24 24 24 24 16

N.S.

1 1.26 0.83 1.13 1.04 1.04 1.04 1.04 0.70

time (sec)

N/A 0.250 0.177 0.049 0.193 0.290 0.056 0.280 13.337

Problem 1603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 19 21 20 1341 244 245 739 8176

N.S.

1 0.68 0.75 0.71 47.89 8.71 8.75 26.39 292.00

time (sec)

N/A 1.781 5.072 0.592 6.872 0.276 0.573 0.470 26.252

Problem 1604

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

18 34 18 17 16 16 15 16 16

N.S.

1 1.89 1.00 0.94 0.89 0.89 0.83 0.89 0.89

time (sec)

N/A 0.447 0.098 0.196 0.220 0.287 0.073 0.271 0.115

Problem 1605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 19 64 0 45 60 64 57

N.S.

1 1.00 1.00 3.37 0.00 2.37 3.16 3.37 3.00

time (sec)

N/A 0.441 0.023 8.513 0.000 0.281 0.174 0.294 14.426

Problem 1606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

21 0 16 17 32 38 29 16 16

N.S.

1 0.00 0.76 0.81 1.52 1.81 1.38 0.76 0.76

time (sec)

N/A 0.000 0.075 0.257 0.293 0.276 0.201 0.277 14.578

Problem 1607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 90 100 103 131 131 114 0 103

N.S.

1 2.90 3.23 3.32 4.23 4.23 3.68 0.00 3.32

time (sec)

N/A 1.880 0.224 26.497 0.201 0.265 0.224 0.000 13.481

Problem 1608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A A B

verified

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

size

20 0 28 12 48 11 14 22 11

N.S.

1 0.00 1.40 0.60 2.40 0.55 0.70 1.10 0.55

time (sec)

N/A 0.000 0.174 0.063 0.183 0.274 0.073 0.279 0.071

Problem 1609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

14 0 20 18 22 20 19 19 19

N.S.

1 0.00 1.43 1.29 1.57 1.43 1.36 1.36 1.36

time (sec)

N/A 0.000 0.593 0.154 0.218 0.298 0.092 0.286 0.173

Problem 1610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 59 29 82 95 81 83 95 104

N.S.

1 1.90 0.94 2.65 3.06 2.61 2.68 3.06 3.35

time (sec)

N/A 5.199 0.236 5.233 0.531 0.300 0.427 0.869 13.076

Problem 1611

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

12 8 8 9 8 8 7 8 8

N.S.

1 0.67 0.67 0.75 0.67 0.67 0.58 0.67 0.67

time (sec)

N/A 0.132 0.001 0.023 0.185 0.283 0.028 0.280 0.041

Problem 1612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

28 0 26 30 26 29 26 59 31

N.S.

1 0.00 0.93 1.07 0.93 1.04 0.93 2.11 1.11

time (sec)

N/A 0.000 1.796 0.255 0.322 0.277 0.115 0.278 12.353

Problem 1613

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

31 39 33 31 33 53 26 45 32

N.S.

1 1.26 1.06 1.00 1.06 1.71 0.84 1.45 1.03

time (sec)

N/A 2.387 5.082 8.060 0.234 0.314 0.239 0.283 12.523

Problem 1614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 35 33 26 27 32 17 34 29

N.S.

1 1.21 1.14 0.90 0.93 1.10 0.59 1.17 1.00

time (sec)

N/A 0.650 0.050 0.265 0.222 0.312 0.058 0.297 12.454

Problem 1615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 60 48 64 139 75 85 89 15

N.S.

1 3.53 2.82 3.76 8.18 4.41 5.00 5.24 0.88

time (sec)

N/A 0.247 0.026 0.063 0.290 0.273 0.144 0.285 12.738

Problem 1616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 77 23 21 0 25 0 25 20

N.S.

1 3.08 0.92 0.84 0.00 1.00 0.00 1.00 0.80

time (sec)

N/A 0.692 0.186 0.251 0.000 0.290 0.000 0.454 13.851

Problem 1617

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

18 12 18 13 12 12 10 13 12

N.S.

1 0.67 1.00 0.72 0.67 0.67 0.56 0.72 0.67

time (sec)

N/A 0.139 0.007 0.079 0.181 0.273 0.044 0.288 0.072

Problem 1618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

42 0 34 33 36 36 39 46 30

N.S.

1 0.00 0.81 0.79 0.86 0.86 0.93 1.10 0.71

time (sec)

N/A 0.000 0.075 0.376 0.283 0.309 0.138 0.296 13.400

Problem 1619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 31 16 12 38 11 14 38 7

N.S.

1 1.48 0.76 0.57 1.81 0.52 0.67 1.81 0.33

time (sec)

N/A 0.153 0.004 0.076 0.186 0.309 0.021 0.270 12.079

Problem 1620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

30 0 38 37 45 41 39 67 36

N.S.

1 0.00 1.27 1.23 1.50 1.37 1.30 2.23 1.20

time (sec)

N/A 0.000 0.148 28.385 0.554 0.284 0.478 2.203 14.942

Problem 1621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A F B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 128 60 53 0 57 100 56 58

N.S.

1 4.13 1.94 1.71 0.00 1.84 3.23 1.81 1.87

time (sec)

N/A 1.260 0.341 0.289 0.000 0.310 0.176 0.298 13.650

Problem 1622

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

26 20 20 25 19 24 17 24 20

N.S.

1 0.77 0.77 0.96 0.73 0.92 0.65 0.92 0.77

time (sec)

N/A 0.257 0.241 0.158 0.254 0.291 0.070 0.285 13.569

Problem 1623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

12 0 12 13 26 26 26 53 12

N.S.

1 0.00 1.00 1.08 2.17 2.17 2.17 4.42 1.00

time (sec)

N/A 0.000 0.061 0.195 0.217 0.295 0.090 0.277 13.939

Problem 1624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

38 0 0 50 104 60 46 0 0

N.S.

1 0.00 0.00 1.32 2.74 1.58 1.21 0.00 0.00

time (sec)

N/A 0.000 0.000 56.823 0.375 0.287 3.652 0.000 0.000

Problem 1625

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

16 17 14 16 15 15 12 16 15

N.S.

1 1.06 0.88 1.00 0.94 0.94 0.75 1.00 0.94

time (sec)

N/A 0.158 0.006 0.084 0.178 0.296 0.033 0.269 12.713

Problem 1626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 25 26 38 29 20 29 28

N.S.

1 0.00 1.04 1.08 1.58 1.21 0.83 1.21 1.17

time (sec)

N/A 0.000 4.435 0.070 0.214 0.325 0.098 0.286 0.258

Problem 1627

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B F B

verified

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

size

21 0 27 44 42 48 49 0 46

N.S.

1 0.00 1.29 2.10 2.00 2.29 2.33 0.00 2.19

time (sec)

N/A 0.000 0.149 0.408 0.392 0.318 0.246 0.000 12.964

Problem 1628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

21 0 28 33 491 46 42 46 33

N.S.

1 0.00 1.33 1.57 23.38 2.19 2.00 2.19 1.57

time (sec)

N/A 0.000 0.077 0.361 0.267 0.303 0.131 4.550 14.569

Problem 1629

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

26 40 25 24 30 24 22 30 21

N.S.

1 1.54 0.96 0.92 1.15 0.92 0.85 1.15 0.81

time (sec)

N/A 0.215 0.751 0.183 0.340 0.270 0.121 0.279 0.134

Problem 1630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 28 32 24 0 23 24 23 23

N.S.

1 0.97 1.10 0.83 0.00 0.79 0.83 0.79 0.79

time (sec)

N/A 0.610 0.031 0.104 0.000 0.320 0.132 0.274 13.752

Problem 1631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 84 36 27 95 24 26 35 20

N.S.

1 4.42 1.89 1.42 5.00 1.26 1.37 1.84 1.05

time (sec)

N/A 0.245 0.030 0.046 0.278 0.309 0.095 0.276 12.970

Problem 1632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 47 31 24 46 37 22 33 28

N.S.

1 1.74 1.15 0.89 1.70 1.37 0.81 1.22 1.04

time (sec)

N/A 0.495 0.121 0.092 0.227 0.309 0.062 0.285 13.120

Problem 1633

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

25 37 23 24 21 38 17 22 21

N.S.

1 1.48 0.92 0.96 0.84 1.52 0.68 0.88 0.84

time (sec)

N/A 0.299 0.034 0.056 0.191 0.313 0.093 0.279 12.948

Problem 1634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 54 28 41 28 28 29 30 28

N.S.

1 2.45 1.27 1.86 1.27 1.27 1.32 1.36 1.27

time (sec)

N/A 1.914 0.297 18.587 0.304 0.293 0.103 0.299 13.054

Problem 1635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 53 28 26 49 25 32 33 25

N.S.

1 2.21 1.17 1.08 2.04 1.04 1.33 1.38 1.04

time (sec)

N/A 0.326 0.108 0.196 0.329 0.303 0.126 0.303 12.724

Problem 1636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 24 34 26 30 39 42 87

N.S.

1 0.00 1.00 1.42 1.08 1.25 1.62 1.75 3.62

time (sec)

N/A 0.000 0.225 7.969 0.313 0.274 0.143 0.311 14.956

Problem 1637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B A B B

verified

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

size

34 0 46 32 69 203 34 1417 37

N.S.

1 0.00 1.35 0.94 2.03 5.97 1.00 41.68 1.09

time (sec)

N/A 0.000 0.166 9.881 0.275 0.299 0.191 0.359 14.587

Problem 1638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A F A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 51 42 36 0 37 31 54 39

N.S.

1 2.04 1.68 1.44 0.00 1.48 1.24 2.16 1.56

time (sec)

N/A 0.444 0.146 7.410 0.000 0.304 0.149 0.276 0.180

Problem 1639

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

24 6 6 5 4 4 5 5 4

N.S.

1 0.25 0.25 0.21 0.17 0.17 0.21 0.21 0.17

time (sec)

N/A 0.117 0.001 0.022 0.189 0.290 0.024 0.287 0.073

Problem 1640

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

15 15 15 16 14 14 14 14 15

N.S.

1 1.00 1.00 1.07 0.93 0.93 0.93 0.93 1.00

time (sec)

N/A 0.127 0.001 0.079 0.193 0.278 0.023 0.284 0.055

Problem 1641

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

27 10 12 9 9 9 8 9 8

N.S.

1 0.37 0.44 0.33 0.33 0.33 0.30 0.33 0.30

time (sec)

N/A 0.125 0.000 0.012 0.190 0.285 0.024 0.305 0.002

Problem 1642

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

11 14 19 17 16 16 15 16 16

N.S.

1 1.27 1.73 1.55 1.45 1.45 1.36 1.45 1.45

time (sec)

N/A 0.129 0.000 0.014 0.195 0.274 0.019 0.279 0.002

Problem 1643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 24 25 35 27 22 41 0

N.S.

1 0.00 0.96 1.00 1.40 1.08 0.88 1.64 0.00

time (sec)

N/A 0.000 0.132 16.958 0.284 0.286 0.651 0.464 0.000

Problem 1644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 25 25 23 80 31 27 261 76

N.S.

1 1.00 1.00 0.92 3.20 1.24 1.08 10.44 3.04

time (sec)

N/A 0.967 0.169 485.031 0.465 0.266 0.111 0.290 13.942

Problem 1645

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

16 16 16 18 14 17 15 17 17

N.S.

1 1.00 1.00 1.12 0.88 1.06 0.94 1.06 1.06

time (sec)

N/A 0.262 0.009 0.217 0.271 0.284 0.050 0.280 0.254

Problem 1646

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 15 15 14 15 15 15 17 13

N.S.

1 0.79 0.79 0.74 0.79 0.79 0.79 0.89 0.68

time (sec)

N/A 0.202 0.009 0.119 0.216 0.306 0.051 0.284 12.991

Problem 1647

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

29 28 24 21 19 25 19 20 23

N.S.

1 0.97 0.83 0.72 0.66 0.86 0.66 0.69 0.79

time (sec)

N/A 0.184 0.004 0.069 0.194 0.272 0.054 0.285 0.066

Problem 1648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A A B

verified

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

size

32 0 48 30 115 35 37 35 86

N.S.

1 0.00 1.50 0.94 3.59 1.09 1.16 1.09 2.69

time (sec)

N/A 0.000 0.194 7.221 0.736 0.345 0.394 0.591 14.733

Problem 1649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

27 0 30 25 27 35 26 24 27

N.S.

1 0.00 1.11 0.93 1.00 1.30 0.96 0.89 1.00

time (sec)

N/A 0.000 0.290 0.180 0.319 0.311 0.062 0.318 13.914

Problem 1650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

30 0 27 30 69 57 27 89 51

N.S.

1 0.00 0.90 1.00 2.30 1.90 0.90 2.97 1.70

time (sec)

N/A 0.000 0.096 71.528 0.318 0.290 0.105 0.319 14.614

Problem 1651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A F B

verified

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

size

23 0 24 32 0 31 26 0 32

N.S.

1 0.00 1.04 1.39 0.00 1.35 1.13 0.00 1.39

time (sec)

N/A 0.000 0.503 41.413 0.000 0.314 0.848 0.000 15.327

Problem 1652

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 22 19 18 36 22 17 22 22

N.S.

1 1.16 1.00 0.95 1.89 1.16 0.89 1.16 1.16

time (sec)

N/A 0.176 0.007 0.149 0.197 0.299 0.092 0.263 12.981

Problem 1653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

32 0 30 37 32 52 27 0 49

N.S.

1 0.00 0.94 1.16 1.00 1.62 0.84 0.00 1.53

time (sec)

N/A 0.000 5.364 95.688 0.365 0.292 0.404 0.000 13.957

Problem 1654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 24 60 81 71 75 81 90

N.S.

1 1.00 1.00 2.50 3.38 2.96 3.12 3.38 3.75

time (sec)

N/A 7.388 0.176 0.861 0.483 0.289 0.248 0.631 14.402

Problem 1655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 48 31 28 83 33 87 35 82

N.S.

1 2.82 1.82 1.65 4.88 1.94 5.12 2.06 4.82

time (sec)

N/A 0.299 0.092 0.244 0.395 0.296 0.255 0.341 13.510

Problem 1656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 53 18 48 67 39 42 0 47

N.S.

1 2.41 0.82 2.18 3.05 1.77 1.91 0.00 2.14

time (sec)

N/A 0.308 0.049 0.036 0.182 0.281 0.124 0.000 12.703

Problem 1657

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

34 23 21 19 18 18 15 18 18

N.S.

1 0.68 0.62 0.56 0.53 0.53 0.44 0.53 0.53

time (sec)

N/A 0.177 0.011 0.827 0.186 0.292 0.067 0.265 13.129

Problem 1658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B B B

verified

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

size

29 0 46 53 3 55 56 61 53

N.S.

1 0.00 1.59 1.83 0.10 1.90 1.93 2.10 1.83

time (sec)

N/A 0.000 5.068 0.108 0.266 0.318 0.114 0.287 14.153

Problem 1659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 26 0 87 82 69 68 0 0

N.S.

1 1.00 0.00 3.35 3.15 2.65 2.62 0.00 0.00

time (sec)

N/A 0.708 0.000 22.309 0.344 0.314 0.407 0.000 0.000

Problem 1660

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

20 14 14 14 11 14 12 12 11

N.S.

1 0.70 0.70 0.70 0.55 0.70 0.60 0.60 0.55

time (sec)

N/A 0.158 0.003 0.023 0.195 0.334 0.022 0.285 0.050

Problem 1661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C A A A B

verified

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

size

29 0 38 33 55 33 32 36 28

N.S.

1 0.00 1.31 1.14 1.90 1.14 1.10 1.24 0.97

time (sec)

N/A 0.000 0.221 0.046 0.251 0.296 0.065 0.293 12.900

Problem 1662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 46 46 39 38 58 39 0 0

N.S.

1 1.59 1.59 1.34 1.31 2.00 1.34 0.00 0.00

time (sec)

N/A 0.830 0.050 1.703 0.604 0.301 0.181 0.000 0.000

Problem 1663

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 0 22 28 19 27 0 0 0

N.S.

1 0.00 1.00 1.27 0.86 1.23 0.00 0.00 0.00

time (sec)

N/A 0.000 2.004 0.576 0.270 0.295 0.000 0.000 0.000

Problem 1664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A F B

verified

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

size

19 0 14 21 82 20 15 0 14

N.S.

1 0.00 0.74 1.11 4.32 1.05 0.79 0.00 0.74

time (sec)

N/A 0.000 0.093 0.165 0.211 0.263 0.064 0.000 12.702

Problem 1665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

28 0 43 43 36 27 34 55 39

N.S.

1 0.00 1.54 1.54 1.29 0.96 1.21 1.96 1.39

time (sec)

N/A 0.000 0.738 0.420 0.318 0.304 0.231 0.304 13.221

Problem 1666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 62 20 25 34 26 24 46 25

N.S.

1 2.95 0.95 1.19 1.62 1.24 1.14 2.19 1.19

time (sec)

N/A 0.307 0.923 0.271 0.283 0.342 0.533 0.308 0.173

Problem 1667

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

21 21 21 20 26 19 14 21 21

N.S.

1 1.00 1.00 0.95 1.24 0.90 0.67 1.00 1.00

time (sec)

N/A 0.500 0.604 0.145 0.240 0.309 0.130 0.306 13.667

Problem 1668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

24 0 16 14 24 14 17 21 14

N.S.

1 0.00 0.67 0.58 1.00 0.58 0.71 0.88 0.58

time (sec)

N/A 0.000 1.850 0.154 0.331 0.330 0.241 0.402 13.207

Problem 1669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 0 35 61 83 83 78 84 0

N.S.

1 0.00 1.09 1.91 2.59 2.59 2.44 2.62 0.00

time (sec)

N/A 0.000 9.385 0.262 0.259 0.315 0.127 0.313 0.000

Problem 1670

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

20 35 20 17 24 19 19 16 16

N.S.

1 1.75 1.00 0.85 1.20 0.95 0.95 0.80 0.80

time (sec)

N/A 0.167 0.063 0.040 0.194 0.315 0.149 0.281 12.423

Problem 1671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A A B

verified

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

size

27 0 27 26 34 59 22 48 29

N.S.

1 0.00 1.00 0.96 1.26 2.19 0.81 1.78 1.07

time (sec)

N/A 0.000 8.355 0.392 0.230 0.325 0.119 0.299 12.389

Problem 1672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 222 18 17 0 26 27 26 16

N.S.

1 12.33 1.00 0.94 0.00 1.44 1.50 1.44 0.89

time (sec)

N/A 0.926 0.109 0.277 0.000 0.310 0.058 0.302 12.876

Problem 1673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 28 29 0 28 0 0 25

N.S.

1 0.00 0.93 0.97 0.00 0.93 0.00 0.00 0.83

time (sec)

N/A 0.000 0.317 78.181 0.000 0.305 0.000 0.000 13.276

Problem 1674

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

13 24 7 7 18 6 5 6 6

N.S.

1 1.85 0.54 0.54 1.38 0.46 0.38 0.46 0.46

time (sec)

N/A 0.172 0.003 0.028 0.170 0.406 0.041 0.279 0.025

Problem 1675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B C B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 150 23 91 124 131 97 129 88

N.S.

1 6.00 0.92 3.64 4.96 5.24 3.88 5.16 3.52

time (sec)

N/A 10.762 4.947 1.664 0.250 0.434 0.164 0.280 13.741

Problem 1676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 20 24 106 106 110 147 0

N.S.

1 0.00 0.87 1.04 4.61 4.61 4.78 6.39 0.00

time (sec)

N/A 0.000 5.098 1.957 0.453 0.434 0.210 1.437 0.000

Problem 1677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A C C C C B B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

25 72 21 37 57 48 36 675 21

N.S.

1 2.88 0.84 1.48 2.28 1.92 1.44 27.00 0.84

time (sec)

N/A 0.344 0.061 0.635 0.374 0.415 0.403 0.349 13.308

Problem 1678

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

26 36 27 24 23 23 26 23 16

N.S.

1 1.38 1.04 0.92 0.88 0.88 1.00 0.88 0.62

time (sec)

N/A 0.159 0.017 0.042 0.199 0.412 0.085 0.272 13.056

Problem 1679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 0 40 68 54 0 43 0

N.S.

1 0.00 0.00 1.54 2.62 2.08 0.00 1.65 0.00

time (sec)

N/A 0.000 0.000 0.635 0.330 0.439 0.000 0.415 0.000

Problem 1680

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

20 13 11 12 13 15 10 13 13

N.S.

1 0.65 0.55 0.60 0.65 0.75 0.50 0.65 0.65

time (sec)

N/A 0.129 0.000 0.010 0.211 0.419 0.019 0.281 0.002

Problem 1681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 29 0 0 47 92 0 3644

N.S.

1 0.00 0.97 0.00 0.00 1.57 3.07 0.00 121.47

time (sec)

N/A 0.000 0.144 0.000 0.000 0.406 7.960 0.000 14.542

Problem 1682

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

32 34 38 27 24 43 27 26 28

N.S.

1 1.06 1.19 0.84 0.75 1.34 0.84 0.81 0.88

time (sec)

N/A 0.206 0.026 0.163 0.191 0.380 0.078 0.513 13.012

Problem 1683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

23 0 18 18 24 23 17 0 17

N.S.

1 0.00 0.78 0.78 1.04 1.00 0.74 0.00 0.74

time (sec)

N/A 0.000 0.159 0.052 0.294 0.401 0.096 0.000 12.572

Problem 1684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

17 0 17 17 16 16 15 16 16

N.S.

1 0.00 1.00 1.00 0.94 0.94 0.88 0.94 0.94

time (sec)

N/A 0.000 0.089 0.532 0.234 0.436 0.062 0.262 12.908

Problem 1685

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

26 21 21 19 18 18 19 18 18

N.S.

1 0.81 0.81 0.73 0.69 0.69 0.73 0.69 0.69

time (sec)

N/A 0.878 0.079 0.085 0.242 0.422 0.101 0.271 13.107

Problem 1686

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

33 42 32 25 34 24 29 34 29

N.S.

1 1.27 0.97 0.76 1.03 0.73 0.88 1.03 0.88

time (sec)

N/A 0.163 0.011 0.051 0.192 0.391 0.100 0.268 13.188

Problem 1687

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

13 12 12 13 12 11 12 12 15

N.S.

1 0.92 0.92 1.00 0.92 0.85 0.92 0.92 1.15

time (sec)

N/A 0.164 0.006 0.040 0.202 0.379 0.045 0.262 13.338

Problem 1688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 87 99 0 99 85 98 0

N.S.

1 0.00 3.48 3.96 0.00 3.96 3.40 3.92 0.00

time (sec)

N/A 0.000 1.822 0.639 0.000 0.435 0.349 0.302 0.000

Problem 1689

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

16 5 5 6 5 5 3 5 5

N.S.

1 0.31 0.31 0.38 0.31 0.31 0.19 0.31 0.31

time (sec)

N/A 0.120 0.000 0.021 0.210 0.390 0.020 0.267 0.025

Problem 1690

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

26 40 42 35 34 34 56 34 46

N.S.

1 1.54 1.62 1.35 1.31 1.31 2.15 1.31 1.77

time (sec)

N/A 0.170 0.009 0.312 0.242 0.299 0.146 0.264 0.241

Problem 1691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 0 0 32 43 45 39 33 0

N.S.

1 0.00 0.00 1.60 2.15 2.25 1.95 1.65 0.00

time (sec)

N/A 0.000 0.000 0.553 0.364 0.317 0.270 0.288 0.000

Problem 1692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 35 20 20 19 19 17 19 14

N.S.

1 2.19 1.25 1.25 1.19 1.19 1.06 1.19 0.88

time (sec)

N/A 0.162 0.030 0.023 0.214 0.311 0.071 0.257 13.208

Problem 1693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 44 43 67 67 32 42 0

N.S.

1 0.00 1.76 1.72 2.68 2.68 1.28 1.68 0.00

time (sec)

N/A 0.000 0.106 0.334 0.262 0.356 0.122 0.350 0.000

Problem 1694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 37 36 37 33 33 58 33 43

N.S.

1 1.95 1.89 1.95 1.74 1.74 3.05 1.74 2.26

time (sec)

N/A 0.158 0.007 0.061 0.208 0.355 0.023 0.259 0.047

Problem 1695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 179 17 18 0 17 15 17 17

N.S.

1 7.78 0.74 0.78 0.00 0.74 0.65 0.74 0.74

time (sec)

N/A 1.469 0.129 0.164 0.000 0.331 0.082 0.278 13.298

Problem 1696

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

23 39 16 16 34 20 15 17 19

N.S.

1 1.70 0.70 0.70 1.48 0.87 0.65 0.74 0.83

time (sec)

N/A 0.274 0.017 0.037 0.224 0.314 0.068 0.272 0.070

Problem 1697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 0 29 33 34 30 0 0 30

N.S.

1 0.00 1.38 1.57 1.62 1.43 0.00 0.00 1.43

time (sec)

N/A 0.000 0.137 21.550 0.288 0.298 0.000 0.000 13.100

Problem 1698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 70 30 57 81 48 48 64 57

N.S.

1 2.19 0.94 1.78 2.53 1.50 1.50 2.00 1.78

time (sec)

N/A 1.245 0.263 0.375 0.356 0.284 2.631 0.283 12.730

Problem 1699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

34 0 32 32 43 43 26 43 169

N.S.

1 0.00 0.94 0.94 1.26 1.26 0.76 1.26 4.97

time (sec)

N/A 0.000 0.103 0.376 0.275 0.348 0.093 0.330 0.324

Problem 1700

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

13 15 13 12 11 11 12 11 11

N.S.

1 1.15 1.00 0.92 0.85 0.85 0.92 0.85 0.85

time (sec)

N/A 0.146 0.002 0.039 0.218 0.289 0.019 0.279 0.026

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