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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 A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 81 61 74 148 75 82 68

N.S.

1 1.00 0.94 0.71 0.86 1.72 0.87 0.95 0.79

time (sec)

N/A 0.215 0.086 2.695 0.215 0.229 0.111 0.283 1.353

Problem 1602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 87 66 84 173 85 93 76

N.S.

1 1.00 0.90 0.68 0.87 1.78 0.88 0.96 0.78

time (sec)

N/A 0.228 0.083 2.693 0.202 0.224 0.120 0.279 1.194

Problem 1603

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

76 76 95 59 57 79 68 112 53

N.S.

1 1.00 1.25 0.78 0.75 1.04 0.89 1.47 0.70

time (sec)

N/A 0.201 0.049 2.688 0.209 0.214 0.082 0.267 0.048

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

69 69 74 54 52 74 61 103 48

N.S.

1 1.00 1.07 0.78 0.75 1.07 0.88 1.49 0.70

time (sec)

N/A 0.195 0.048 2.695 0.229 0.228 0.077 0.271 0.045

Problem 1605

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

62 62 65 49 47 69 54 94 43

N.S.

1 1.00 1.05 0.79 0.76 1.11 0.87 1.52 0.69

time (sec)

N/A 0.190 0.038 2.702 0.205 0.219 0.077 0.274 0.041

Problem 1606

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

55 55 56 44 42 64 48 85 38

N.S.

1 1.00 1.02 0.80 0.76 1.16 0.87 1.55 0.69

time (sec)

N/A 0.183 0.030 2.695 0.206 0.223 0.073 0.295 0.040

Problem 1607

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

48 48 47 39 37 59 41 74 33

N.S.

1 1.00 0.98 0.81 0.77 1.23 0.85 1.54 0.69

time (sec)

N/A 0.175 0.078 2.704 0.225 0.223 0.074 0.287 1.430

Problem 1608

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

43 43 40 36 34 49 36 58 30

N.S.

1 1.00 0.93 0.84 0.79 1.14 0.84 1.35 0.70

time (sec)

N/A 0.168 0.124 2.698 0.207 0.227 0.071 0.267 1.261

Problem 1609

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

43 43 38 36 34 49 36 40 26

N.S.

1 1.00 0.88 0.84 0.79 1.14 0.84 0.93 0.60

time (sec)

N/A 0.175 0.072 2.702 0.204 0.228 0.059 0.265 0.041

Problem 1610

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

43 43 40 36 34 49 36 40 26

N.S.

1 1.00 0.93 0.84 0.79 1.14 0.84 0.93 0.60

time (sec)

N/A 0.170 0.011 2.691 0.205 0.219 0.058 0.269 0.043

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

43 43 40 36 34 49 36 40 42

N.S.

1 1.00 0.93 0.84 0.79 1.14 0.84 0.93 0.98

time (sec)

N/A 0.168 0.013 2.687 0.198 0.222 0.066 0.264 0.073

Problem 1612

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

53 53 48 44 42 65 44 55 36

N.S.

1 1.00 0.91 0.83 0.79 1.23 0.83 1.04 0.68

time (sec)

N/A 0.183 0.025 2.707 0.213 0.227 0.089 0.270 0.046

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

64 64 59 53 54 98 54 77 47

N.S.

1 1.00 0.92 0.83 0.84 1.53 0.84 1.20 0.73

time (sec)

N/A 0.190 0.065 2.709 0.207 0.223 0.095 0.273 0.044

Problem 1614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 65 62 64 123 65 86 55

N.S.

1 1.00 0.87 0.83 0.85 1.64 0.87 1.15 0.73

time (sec)

N/A 0.210 0.087 2.694 0.200 0.227 0.106 0.277 0.057

Problem 1615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 70 68 74 148 75 95 67

N.S.

1 1.00 0.81 0.79 0.86 1.72 0.87 1.10 0.78

time (sec)

N/A 0.219 0.082 2.721 0.208 0.223 0.114 0.282 1.363

Problem 1616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 75 73 84 173 85 104 75

N.S.

1 1.00 0.77 0.75 0.87 1.78 0.88 1.07 0.77

time (sec)

N/A 0.229 0.089 2.722 0.229 0.224 0.118 0.279 1.224

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

80 80 74 62 64 100 71 112 59

N.S.

1 1.00 0.92 0.78 0.80 1.25 0.89 1.40 0.74

time (sec)

N/A 0.208 0.072 0.878 0.195 0.221 0.089 0.292 1.433

Problem 1618

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

73 73 67 57 59 95 65 103 54

N.S.

1 1.00 0.92 0.78 0.81 1.30 0.89 1.41 0.74

time (sec)

N/A 0.202 0.035 0.871 0.205 0.215 0.084 0.289 0.042

Problem 1619

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

66 66 60 52 54 90 58 94 49

N.S.

1 1.00 0.91 0.79 0.82 1.36 0.88 1.42 0.74

time (sec)

N/A 0.198 0.035 2.723 0.201 0.225 0.083 0.290 0.040

Problem 1620

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

59 59 55 47 49 85 51 83 44

N.S.

1 1.00 0.93 0.80 0.83 1.44 0.86 1.41 0.75

time (sec)

N/A 0.190 0.046 0.886 0.206 0.217 0.083 0.281 1.182

Problem 1621

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

54 54 48 44 46 75 46 69 41

N.S.

1 1.00 0.89 0.81 0.85 1.39 0.85 1.28 0.76

time (sec)

N/A 0.184 0.026 0.885 0.214 0.213 0.079 0.285 1.436

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

54 54 47 44 46 75 46 51 37

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.85 0.94 0.69

time (sec)

N/A 0.186 0.055 0.874 0.207 0.216 0.072 0.270 1.204

Problem 1623

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

54 54 47 44 46 75 46 51 37

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.85 0.94 0.69

time (sec)

N/A 0.182 0.026 0.886 0.204 0.216 0.073 0.274 0.047

Problem 1624

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

54 54 47 44 46 75 46 51 37

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.85 0.94 0.69

time (sec)

N/A 0.184 0.038 0.880 0.206 0.218 0.070 0.283 0.042

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

54 54 47 44 46 75 44 51 37

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.81 0.94 0.69

time (sec)

N/A 0.180 0.049 0.878 0.205 0.229 0.073 0.280 1.267

Problem 1626

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

64 64 60 52 54 98 54 66 48

N.S.

1 1.00 0.94 0.81 0.84 1.53 0.84 1.03 0.75

time (sec)

N/A 0.194 0.036 0.891 0.204 0.223 0.097 0.279 1.258

Problem 1627

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 65 62 64 123 65 86 56

N.S.

1 1.00 0.87 0.83 0.85 1.64 0.87 1.15 0.75

time (sec)

N/A 0.204 0.054 0.894 0.214 0.224 0.107 0.282 0.047

Problem 1628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 79 68 74 148 75 97 68

N.S.

1 1.00 0.92 0.79 0.86 1.72 0.87 1.13 0.79

time (sec)

N/A 0.216 0.081 0.894 0.194 0.222 0.110 0.281 1.189

Problem 1629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 88 73 84 173 85 106 76

N.S.

1 1.00 0.91 0.75 0.87 1.78 0.88 1.09 0.78

time (sec)

N/A 0.230 0.081 0.883 0.211 0.222 0.117 0.287 1.340

Problem 1630

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

80 80 71 57 61 77 71 57 56

N.S.

1 1.00 0.89 0.71 0.76 0.96 0.89 0.71 0.70

time (sec)

N/A 0.207 0.018 0.903 0.201 0.214 0.071 0.273 0.044

Problem 1631

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

73 73 66 52 56 72 65 52 51

N.S.

1 1.00 0.90 0.71 0.77 0.99 0.89 0.71 0.70

time (sec)

N/A 0.196 0.014 0.875 0.197 0.217 0.071 0.274 0.038

Problem 1632

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

66 66 61 47 51 67 58 47 46

N.S.

1 1.00 0.92 0.71 0.77 1.02 0.88 0.71 0.70

time (sec)

N/A 0.189 0.022 0.876 0.215 0.219 0.066 0.278 0.036

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

59 59 56 42 46 62 51 42 41

N.S.

1 1.00 0.95 0.71 0.78 1.05 0.86 0.71 0.69

time (sec)

N/A 0.186 0.012 0.870 0.216 0.213 0.067 0.282 0.031

Problem 1634

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

50 50 51 37 41 57 42 37 36

N.S.

1 1.00 1.02 0.74 0.82 1.14 0.84 0.74 0.72

time (sec)

N/A 0.178 0.012 0.871 0.208 0.234 0.062 0.284 0.028

Problem 1635

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

45 45 46 32 36 52 37 32 31

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.82 0.71 0.69

time (sec)

N/A 0.176 0.014 2.729 0.231 0.213 0.061 0.280 0.034

Problem 1636

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

38 38 34 27 31 47 31 27 26

N.S.

1 1.00 0.89 0.71 0.82 1.24 0.82 0.71 0.68

time (sec)

N/A 0.167 0.020 2.718 0.201 0.217 0.058 0.263 0.037

Problem 1637

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 33 33 24 28 37 26 24 23

N.S.

1 1.00 1.00 0.73 0.85 1.12 0.79 0.73 0.70

time (sec)

N/A 0.162 0.012 2.678 0.212 0.219 0.055 0.270 1.262

Problem 1638

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 18 16 15 19 19 17 14 14

N.S.

1 1.00 0.89 0.83 1.06 1.06 0.94 0.78 0.78

time (sec)

N/A 0.134 0.015 4.372 0.200 0.229 0.046 0.265 0.046

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

43 43 35 32 36 55 36 33 25

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.84 0.77 0.58

time (sec)

N/A 0.174 0.028 3.596 0.212 0.217 0.060 0.265 0.088

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

54 54 47 44 46 75 44 51 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.81 0.94 0.70

time (sec)

N/A 0.181 0.067 0.869 0.204 0.219 0.073 0.280 0.045

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

65 65 48 48 56 95 54 46 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 0.69

time (sec)

N/A 0.195 0.018 0.866 0.216 0.225 0.092 0.276 1.207

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

76 76 57 53 66 115 65 55 53

N.S.

1 1.00 0.75 0.70 0.87 1.51 0.86 0.72 0.70

time (sec)

N/A 0.206 0.057 2.731 0.204 0.225 0.084 0.271 0.051

Problem 1643

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

87 87 64 58 76 135 75 78 66

N.S.

1 1.00 0.74 0.67 0.87 1.55 0.86 0.90 0.76

time (sec)

N/A 0.219 0.037 2.736 0.203 0.220 0.087 0.284 0.049

Problem 1644

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

98 98 69 63 86 155 85 65 76

N.S.

1 1.00 0.70 0.64 0.88 1.58 0.87 0.66 0.78

time (sec)

N/A 0.226 0.081 2.729 0.210 0.220 0.093 0.276 1.326

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

80 80 71 57 61 77 71 57 56

N.S.

1 1.00 0.89 0.71 0.76 0.96 0.89 0.71 0.70

time (sec)

N/A 0.205 0.021 2.728 0.188 0.215 0.077 0.261 1.260

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

73 73 66 52 56 72 65 52 51

N.S.

1 1.00 0.90 0.71 0.77 0.99 0.89 0.71 0.70

time (sec)

N/A 0.199 0.016 0.889 0.187 0.211 0.074 0.270 0.041

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

66 66 61 47 51 67 58 47 46

N.S.

1 1.00 0.92 0.71 0.77 1.02 0.88 0.71 0.70

time (sec)

N/A 0.191 0.029 0.888 0.195 0.219 0.070 0.269 0.034

Problem 1648

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

59 59 56 42 46 62 51 42 41

N.S.

1 1.00 0.95 0.71 0.78 1.05 0.86 0.71 0.69

time (sec)

N/A 0.185 0.035 0.889 0.287 0.220 0.067 0.283 0.031

Problem 1649

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

52 52 47 37 41 57 44 37 36

N.S.

1 1.00 0.90 0.71 0.79 1.10 0.85 0.71 0.69

time (sec)

N/A 0.178 0.017 0.882 0.286 0.216 0.066 0.298 0.028

Problem 1650

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

45 45 46 32 36 52 37 32 31

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.82 0.71 0.69

time (sec)

N/A 0.175 0.012 0.882 0.227 0.227 0.060 0.275 0.035

Problem 1651

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

38 38 34 27 31 47 31 27 26

N.S.

1 1.00 0.89 0.71 0.82 1.24 0.82 0.71 0.68

time (sec)

N/A 0.165 0.019 0.872 0.193 0.217 0.056 0.264 0.038

Problem 1652

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 33 33 24 28 37 26 24 23

N.S.

1 1.00 1.00 0.73 0.85 1.12 0.79 0.73 0.70

time (sec)

N/A 0.161 0.008 0.870 0.195 0.217 0.055 0.269 0.030

Problem 1653

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

43 43 35 32 36 55 32 33 25

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.74 0.77 0.58

time (sec)

N/A 0.169 0.018 0.878 0.203 0.223 0.066 0.283 0.041

Problem 1654

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

54 54 47 44 46 75 46 51 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.85 0.94 0.70

time (sec)

N/A 0.180 0.028 0.879 0.203 0.227 0.075 0.273 0.046

Problem 1655

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

65 65 48 48 56 95 54 46 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 0.69

time (sec)

N/A 0.193 0.026 0.879 0.208 0.225 0.078 0.271 1.338

Problem 1656

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

76 76 57 53 66 115 65 55 53

N.S.

1 1.00 0.75 0.70 0.87 1.51 0.86 0.72 0.70

time (sec)

N/A 0.203 0.038 0.880 0.200 0.222 0.084 0.289 1.194

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

87 87 64 58 76 135 75 78 65

N.S.

1 1.00 0.74 0.67 0.87 1.55 0.86 0.90 0.75

time (sec)

N/A 0.217 0.040 0.876 0.206 0.215 0.091 0.271 0.045

Problem 1658

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

98 98 69 63 86 155 85 65 76

N.S.

1 1.00 0.70 0.64 0.88 1.58 0.87 0.66 0.78

time (sec)

N/A 0.225 0.044 0.883 0.191 0.227 0.098 0.276 1.284

Problem 1659

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

80 80 71 57 61 77 71 57 56

N.S.

1 1.00 0.89 0.71 0.76 0.96 0.89 0.71 0.70

time (sec)

N/A 0.202 0.021 0.892 0.190 0.221 0.072 0.267 1.242

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

73 73 66 52 56 72 65 52 51

N.S.

1 1.00 0.90 0.71 0.77 0.99 0.89 0.71 0.70

time (sec)

N/A 0.201 0.018 0.885 0.197 0.217 0.069 0.271 0.038

Problem 1661

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

64 64 61 47 51 67 56 47 46

N.S.

1 1.00 0.95 0.73 0.80 1.05 0.88 0.73 0.72

time (sec)

N/A 0.192 0.015 0.883 0.227 0.215 0.067 0.274 0.034

Problem 1662

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

59 59 56 42 46 62 51 42 41

N.S.

1 1.00 0.95 0.71 0.78 1.05 0.86 0.71 0.69

time (sec)

N/A 0.186 0.014 0.886 0.193 0.222 0.067 0.279 0.032

Problem 1663

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

52 52 47 37 41 57 44 37 36

N.S.

1 1.00 0.90 0.71 0.79 1.10 0.85 0.71 0.69

time (sec)

N/A 0.177 0.015 2.731 0.199 0.216 0.064 0.269 0.028

Problem 1664

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

45 45 46 32 36 52 37 32 31

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.82 0.71 0.69

time (sec)

N/A 0.189 0.013 2.756 0.207 0.221 0.062 0.272 0.034

Problem 1665

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

38 38 34 27 31 47 31 27 26

N.S.

1 1.00 0.89 0.71 0.82 1.24 0.82 0.71 0.68

time (sec)

N/A 0.169 0.017 2.755 0.198 0.218 0.056 0.263 1.307

Problem 1666

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

43 43 35 32 36 55 34 33 29

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.79 0.77 0.67

time (sec)

N/A 0.175 0.021 2.756 0.202 0.221 0.076 0.389 0.077

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

54 54 47 44 46 75 44 51 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.81 0.94 0.70

time (sec)

N/A 0.182 0.067 2.767 0.185 0.224 0.074 0.383 0.060

Problem 1668

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

65 65 48 48 56 95 56 46 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.86 0.71 0.69

time (sec)

N/A 0.191 0.024 2.762 0.195 0.225 0.079 0.275 0.047

Problem 1669

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

76 76 57 53 66 115 65 55 53

N.S.

1 1.00 0.75 0.70 0.87 1.51 0.86 0.72 0.70

time (sec)

N/A 0.204 0.061 2.782 0.205 0.220 0.087 0.276 1.244

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

87 87 64 58 76 135 75 78 65

N.S.

1 1.00 0.74 0.67 0.87 1.55 0.86 0.90 0.75

time (sec)

N/A 0.220 0.040 0.897 0.202 0.216 0.096 0.270 1.223

Problem 1671

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

76 76 98 55 59 85 65 56 52

N.S.

1 1.00 1.29 0.72 0.78 1.12 0.86 0.74 0.68

time (sec)

N/A 0.199 0.034 0.895 0.206 0.219 0.093 0.277 0.062

Problem 1672

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

69 69 60 50 54 80 58 51 47

N.S.

1 1.00 0.87 0.72 0.78 1.16 0.84 0.74 0.68

time (sec)

N/A 0.192 0.028 0.896 0.186 0.227 0.083 0.273 1.354

Problem 1673

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

62 62 55 45 49 75 51 46 42

N.S.

1 1.00 0.89 0.73 0.79 1.21 0.82 0.74 0.68

time (sec)

N/A 0.187 0.021 0.899 0.190 0.218 0.079 0.268 0.050

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

55 55 55 40 44 70 44 41 37

N.S.

1 1.00 1.00 0.73 0.80 1.27 0.80 0.75 0.67

time (sec)

N/A 0.186 0.023 0.895 0.196 0.226 0.080 0.270 0.042

Problem 1675

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

48 48 46 35 39 65 37 36 32

N.S.

1 1.00 0.96 0.73 0.81 1.35 0.77 0.75 0.67

time (sec)

N/A 0.173 0.024 0.885 0.205 0.220 0.080 0.272 1.369

Problem 1676

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

43 43 35 32 36 55 32 33 29

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.74 0.77 0.67

time (sec)

N/A 0.172 0.018 0.884 0.196 0.225 0.079 0.272 0.091

Problem 1677

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

43 43 35 32 36 55 32 33 25

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.74 0.77 0.58

time (sec)

N/A 0.173 0.022 0.885 0.197 0.221 0.068 0.263 1.525

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

43 43 46 32 36 55 34 33 26

N.S.

1 1.00 1.07 0.74 0.84 1.28 0.79 0.77 0.60

time (sec)

N/A 0.174 0.021 0.878 0.185 0.216 0.068 0.265 0.047

Problem 1679

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

43 43 46 32 36 55 34 33 26

N.S.

1 1.00 1.07 0.74 0.84 1.28 0.79 0.77 0.60

time (sec)

N/A 0.168 0.040 0.876 0.193 0.221 0.068 0.268 0.046

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

53 53 52 40 44 73 44 42 36

N.S.

1 1.00 0.98 0.75 0.83 1.38 0.83 0.79 0.68

time (sec)

N/A 0.183 0.025 0.891 0.205 0.229 0.096 0.273 1.378

Problem 1681

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

64 64 57 52 54 98 54 66 48

N.S.

1 1.00 0.89 0.81 0.84 1.53 0.84 1.03 0.75

time (sec)

N/A 0.196 0.068 0.889 0.195 0.230 0.102 0.266 0.046

Problem 1682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 58 56 64 123 65 59 56

N.S.

1 1.00 0.77 0.75 0.85 1.64 0.87 0.79 0.75

time (sec)

N/A 0.204 0.062 0.896 0.198 0.232 0.107 0.266 0.047

Problem 1683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 69 61 74 148 75 64 63

N.S.

1 1.00 0.80 0.71 0.86 1.72 0.87 0.74 0.73

time (sec)

N/A 0.214 0.093 0.899 0.193 0.225 0.116 0.281 0.048

Problem 1684

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

80 80 98 62 64 100 70 112 60

N.S.

1 1.00 1.22 0.78 0.80 1.25 0.88 1.40 0.75

time (sec)

N/A 0.207 0.042 0.903 0.204 0.217 0.099 0.272 0.046

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

73 73 67 57 59 95 63 103 55

N.S.

1 1.00 0.92 0.78 0.81 1.30 0.86 1.41 0.75

time (sec)

N/A 0.201 0.047 0.897 0.191 0.223 0.098 0.267 0.043

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

66 66 74 52 54 90 56 94 50

N.S.

1 1.00 1.12 0.79 0.82 1.36 0.85 1.42 0.76

time (sec)

N/A 0.202 0.032 0.890 0.191 0.221 0.093 0.285 1.369

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

59 59 55 47 49 85 49 83 45

N.S.

1 1.00 0.93 0.80 0.83 1.44 0.83 1.41 0.76

time (sec)

N/A 0.188 0.024 0.893 0.201 0.224 0.094 0.269 0.042

Problem 1688

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

54 54 48 44 46 75 44 69 42

N.S.

1 1.00 0.89 0.81 0.85 1.39 0.81 1.28 0.78

time (sec)

N/A 0.183 0.027 0.893 0.196 0.228 0.090 0.283 1.273

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

54 54 47 44 46 75 46 51 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.85 0.94 0.70

time (sec)

N/A 0.184 0.029 0.892 0.181 0.214 0.076 0.272 0.064

Problem 1690

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

54 54 48 44 46 75 44 51 38

N.S.

1 1.00 0.89 0.81 0.85 1.39 0.81 0.94 0.70

time (sec)

N/A 0.185 0.064 0.887 0.192 0.214 0.077 0.272 1.385

Problem 1691

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

54 54 62 44 46 75 44 51 38

N.S.

1 1.00 1.15 0.81 0.85 1.39 0.81 0.94 0.70

time (sec)

N/A 0.182 0.095 0.880 0.186 0.221 0.075 0.280 0.045

Problem 1692

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

54 54 62 44 46 75 44 51 38

N.S.

1 1.00 1.15 0.81 0.85 1.39 0.81 0.94 0.70

time (sec)

N/A 0.179 0.041 0.877 0.197 0.215 0.079 0.287 1.199

Problem 1693

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

64 64 60 52 54 98 54 66 47

N.S.

1 1.00 0.94 0.81 0.84 1.53 0.84 1.03 0.73

time (sec)

N/A 0.190 0.072 0.894 0.197 0.223 0.104 0.270 0.046

Problem 1694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 68 62 64 123 65 86 55

N.S.

1 1.00 0.91 0.83 0.85 1.64 0.87 1.15 0.73

time (sec)

N/A 0.220 0.073 0.902 0.182 0.231 0.109 0.270 0.046

Problem 1695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 74 68 74 148 75 95 66

N.S.

1 1.00 0.86 0.79 0.86 1.72 0.87 1.10 0.77

time (sec)

N/A 0.213 0.098 2.802 0.209 0.230 0.119 0.276 1.366

Problem 1696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 88 73 84 173 85 104 76

N.S.

1 1.00 0.91 0.75 0.87 1.78 0.88 1.07 0.78

time (sec)

N/A 0.230 0.123 2.815 0.192 0.234 0.127 0.271 0.052

Problem 1697

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

91 91 75 67 74 120 80 68 68

N.S.

1 1.00 0.82 0.74 0.81 1.32 0.88 0.75 0.75

time (sec)

N/A 0.224 0.102 0.907 0.195 0.221 0.108 0.272 1.191

Problem 1698

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

84 84 70 62 69 115 73 63 63

N.S.

1 1.00 0.83 0.74 0.82 1.37 0.87 0.75 0.75

time (sec)

N/A 0.212 0.073 0.895 0.206 0.218 0.113 0.269 1.306

Problem 1699

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

77 77 65 57 64 110 66 58 58

N.S.

1 1.00 0.84 0.74 0.83 1.43 0.86 0.75 0.75

time (sec)

N/A 0.208 0.038 2.803 0.209 0.220 0.105 0.291 1.299

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

70 70 60 52 59 105 60 53 52

N.S.

1 1.00 0.86 0.74 0.84 1.50 0.86 0.76 0.74

time (sec)

N/A 0.197 0.042 2.818 0.220 0.217 0.105 0.275 1.375

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