Integrals 401 to 500

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 401

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

75 75 65 62 64 123 65 86 188 56

N.S.

1 1.00 0.87 0.83 0.85 1.64 0.87 1.15 2.51 0.75

time (sec)

N/A 0.255 0.044 0.242 0.029 0.085 0.116 0.126 0.160 1.007

Problem 402

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

86 86 79 68 74 148 75 97 231 68

N.S.

1 1.00 0.92 0.79 0.86 1.72 0.87 1.13 2.69 0.79

time (sec)

N/A 0.245 0.075 0.250 0.027 0.119 0.130 0.124 0.164 1.023

Problem 403

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

97 97 88 73 84 173 85 106 274 76

N.S.

1 1.00 0.91 0.75 0.87 1.78 0.88 1.09 2.82 0.78

time (sec)

N/A 0.286 0.062 0.243 0.032 0.123 0.124 0.123 0.162 1.110

Problem 404

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 61 47 51 67 58 47 73 46

N.S.

1 1.00 0.92 0.71 0.77 1.02 0.88 0.71 1.11 0.70

time (sec)

N/A 0.231 0.014 0.235 0.025 0.084 0.069 0.126 0.159 0.021

Problem 405

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

59 59 56 42 46 62 51 42 68 41

N.S.

1 1.00 0.95 0.71 0.78 1.05 0.86 0.71 1.15 0.69

time (sec)

N/A 0.223 0.012 0.216 0.036 0.087 0.066 0.121 0.160 0.024

Problem 406

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

50 50 51 37 41 57 42 37 63 36

N.S.

1 1.00 1.02 0.74 0.82 1.14 0.84 0.74 1.26 0.72

time (sec)

N/A 0.210 0.011 0.211 0.025 0.079 0.059 0.130 0.160 0.016

Problem 407

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

45 45 46 32 36 52 37 32 58 31

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.82 0.71 1.29 0.69

time (sec)

N/A 0.199 0.010 0.209 0.025 0.074 0.060 0.123 0.160 0.019

Problem 408

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 34 27 31 47 31 27 53 26

N.S.

1 1.00 0.89 0.71 0.82 1.24 0.82 0.71 1.39 0.68

time (sec)

N/A 0.214 0.016 0.199 0.025 0.092 0.058 0.119 0.160 0.022

Problem 409

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 33 33 24 28 37 26 24 48 23

N.S.

1 1.00 1.00 0.73 0.85 1.12 0.79 0.73 1.45 0.70

time (sec)

N/A 0.192 0.006 0.179 0.027 0.073 0.054 0.124 0.167 0.018

Problem 410

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 16 15 19 19 17 14 20 14

N.S.

1 1.00 0.89 0.83 1.06 1.06 0.94 0.78 1.11 0.78

time (sec)

N/A 0.157 0.004 0.182 0.035 0.070 0.049 0.121 0.167 1.135

Problem 411

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 35 32 36 55 36 33 76 25

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.84 0.77 1.77 0.58

time (sec)

N/A 0.203 0.015 0.204 0.030 0.099 0.061 0.124 0.165 0.025

Problem 412

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 47 44 46 75 44 51 106 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.81 0.94 1.96 0.70

time (sec)

N/A 0.199 0.026 0.204 0.036 0.070 0.076 0.126 0.166 0.027

Problem 413

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 54 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 2.12 0.69

time (sec)

N/A 0.221 0.018 0.211 0.027 0.077 0.087 0.120 0.173 1.030

Problem 414

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

76 76 57 53 66 115 65 55 170 53

N.S.

1 1.00 0.75 0.70 0.87 1.51 0.86 0.72 2.24 0.70

time (sec)

N/A 0.237 0.025 0.205 0.035 0.077 0.083 0.123 0.165 0.038

Problem 415

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 61 47 51 67 58 47 73 46

N.S.

1 1.00 0.92 0.71 0.77 1.02 0.88 0.71 1.11 0.70

time (sec)

N/A 0.218 0.015 0.233 0.033 0.080 0.068 0.128 0.153 1.016

Problem 416

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

59 59 56 42 46 62 51 42 68 41

N.S.

1 1.00 0.95 0.71 0.78 1.05 0.86 0.71 1.15 0.69

time (sec)

N/A 0.228 0.014 0.240 0.025 0.072 0.063 0.121 0.159 0.018

Problem 417

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

52 52 47 37 41 57 44 37 63 36

N.S.

1 1.00 0.90 0.71 0.79 1.10 0.85 0.71 1.21 0.69

time (sec)

N/A 0.206 0.014 0.238 0.027 0.087 0.073 0.115 0.158 0.017

Problem 418

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

45 45 46 32 36 52 37 32 58 31

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.82 0.71 1.29 0.69

time (sec)

N/A 0.209 0.011 0.224 0.030 0.086 0.062 0.120 0.155 0.019

Problem 419

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 34 27 31 47 31 27 53 26

N.S.

1 1.00 0.89 0.71 0.82 1.24 0.82 0.71 1.39 0.68

time (sec)

N/A 0.186 0.016 0.219 0.024 0.070 0.056 0.129 0.158 0.994

Problem 420

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 33 33 24 28 37 26 24 48 23

N.S.

1 1.00 1.00 0.73 0.85 1.12 0.79 0.73 1.45 0.70

time (sec)

N/A 0.177 0.007 0.191 0.031 0.087 0.063 0.118 0.161 1.001

Problem 421

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 35 32 36 55 32 33 76 25

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.74 0.77 1.77 0.58

time (sec)

N/A 0.198 0.016 0.227 0.031 0.081 0.070 0.125 0.158 0.024

Problem 422

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 47 44 46 75 46 51 106 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.85 0.94 1.96 0.70

time (sec)

N/A 0.221 0.026 0.241 0.025 0.083 0.075 0.126 0.154 0.027

Problem 423

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 54 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 2.12 0.69

time (sec)

N/A 0.231 0.022 0.223 0.029 0.082 0.079 0.119 0.162 1.018

Problem 424

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

76 76 57 53 66 115 65 55 170 53

N.S.

1 1.00 0.75 0.70 0.87 1.51 0.86 0.72 2.24 0.70

time (sec)

N/A 0.237 0.033 0.230 0.025 0.083 0.083 0.119 0.167 0.026

Problem 425

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

73 73 66 52 56 72 65 52 78 51

N.S.

1 1.00 0.90 0.71 0.77 0.99 0.89 0.71 1.07 0.70

time (sec)

N/A 0.261 0.015 0.243 0.032 0.091 0.069 0.122 0.161 0.023

Problem 426

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

64 64 61 47 51 67 56 47 73 46

N.S.

1 1.00 0.95 0.73 0.80 1.05 0.88 0.73 1.14 0.72

time (sec)

N/A 0.218 0.018 0.225 0.039 0.077 0.067 0.121 0.156 0.020

Problem 427

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

59 59 56 42 46 62 51 42 68 41

N.S.

1 1.00 0.95 0.71 0.78 1.05 0.86 0.71 1.15 0.69

time (sec)

N/A 0.222 0.014 0.236 0.026 0.077 0.074 0.122 0.151 0.019

Problem 428

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

52 52 47 37 41 57 44 37 63 36

N.S.

1 1.00 0.90 0.71 0.79 1.10 0.85 0.71 1.21 0.69

time (sec)

N/A 0.207 0.014 0.223 0.025 0.083 0.065 0.108 0.159 0.016

Problem 429

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

45 45 46 32 36 52 37 32 58 31

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.82 0.71 1.29 0.69

time (sec)

N/A 0.206 0.012 0.213 0.031 0.085 0.058 0.122 0.160 0.019

Problem 430

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 34 27 31 47 31 27 53 26

N.S.

1 1.00 0.89 0.71 0.82 1.24 0.82 0.71 1.39 0.68

time (sec)

N/A 0.185 0.015 0.199 0.053 0.073 0.054 0.111 0.163 1.019

Problem 431

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 35 32 36 55 34 33 76 29

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.79 0.77 1.77 0.67

time (sec)

N/A 0.201 0.016 0.253 0.052 0.070 0.075 0.120 0.159 0.034

Problem 432

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 47 44 46 75 44 51 106 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.81 0.94 1.96 0.70

time (sec)

N/A 0.213 0.025 0.223 0.040 0.082 0.086 0.124 0.162 1.028

Problem 433

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 56 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.86 0.71 2.12 0.69

time (sec)

N/A 0.227 0.021 0.234 0.038 0.075 0.096 0.125 0.161 0.028

Problem 434

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

76 76 57 53 66 115 65 55 170 53

N.S.

1 1.00 0.75 0.70 0.87 1.51 0.86 0.72 2.24 0.70

time (sec)

N/A 0.228 0.034 0.227 0.026 0.088 0.094 0.121 0.161 1.019

Problem 435

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

87 87 64 58 76 135 75 78 202 65

N.S.

1 1.00 0.74 0.67 0.87 1.55 0.86 0.90 2.32 0.75

time (sec)

N/A 0.252 0.036 0.229 0.031 0.100 0.096 0.123 0.164 1.101

Problem 436

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

69 69 60 50 54 80 58 51 96 47

N.S.

1 1.00 0.87 0.72 0.78 1.16 0.84 0.74 1.39 0.68

time (sec)

N/A 0.229 0.028 0.236 0.033 0.091 0.091 0.122 0.158 0.027

Problem 437

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

62 62 55 45 49 75 51 46 91 42

N.S.

1 1.00 0.89 0.73 0.79 1.21 0.82 0.74 1.47 0.68

time (sec)

N/A 0.224 0.020 0.231 0.026 0.081 0.081 0.118 0.152 1.011

Problem 438

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

55 55 55 40 44 70 44 41 86 37

N.S.

1 1.00 1.00 0.73 0.80 1.27 0.80 0.75 1.56 0.67

time (sec)

N/A 0.215 0.023 0.226 0.034 0.085 0.092 0.120 0.157 0.023

Problem 439

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

48 48 46 35 39 65 37 36 81 32

N.S.

1 1.00 0.96 0.73 0.81 1.35 0.77 0.75 1.69 0.67

time (sec)

N/A 0.208 0.022 0.227 0.040 0.087 0.084 0.117 0.158 0.023

Problem 440

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 35 32 36 55 32 33 76 29

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.74 0.77 1.77 0.67

time (sec)

N/A 0.218 0.017 0.230 0.033 0.088 0.076 0.113 0.161 0.052

Problem 441

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 35 32 36 55 32 33 76 25

N.S.

1 1.00 0.81 0.74 0.84 1.28 0.74 0.77 1.77 0.58

time (sec)

N/A 0.209 0.015 0.234 0.037 0.081 0.067 0.120 0.162 0.024

Problem 442

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 46 32 36 55 34 33 76 26

N.S.

1 1.00 1.07 0.74 0.84 1.28 0.79 0.77 1.77 0.60

time (sec)

N/A 0.201 0.012 0.209 0.028 0.096 0.072 0.114 0.166 1.025

Problem 443

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 46 32 36 55 34 33 76 26

N.S.

1 1.00 1.07 0.74 0.84 1.28 0.79 0.77 1.77 0.60

time (sec)

N/A 0.203 0.010 0.194 0.027 0.080 0.075 0.120 0.161 0.025

Problem 444

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 52 40 44 73 44 42 104 36

N.S.

1 1.00 0.98 0.75 0.83 1.38 0.83 0.79 1.96 0.68

time (sec)

N/A 0.212 0.018 0.233 0.031 0.110 0.090 0.119 0.152 0.027

Problem 445

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

64 64 57 52 54 98 54 66 145 48

N.S.

1 1.00 0.89 0.81 0.84 1.53 0.84 1.03 2.27 0.75

time (sec)

N/A 0.218 0.038 0.240 0.032 0.120 0.103 0.120 0.149 0.026

Problem 446

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

75 75 58 56 64 123 65 59 188 56

N.S.

1 1.00 0.77 0.75 0.85 1.64 0.87 0.79 2.51 0.75

time (sec)

N/A 0.256 0.040 0.227 0.027 0.099 0.115 0.118 0.149 1.049

Problem 447

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

86 86 69 61 74 148 75 64 231 63

N.S.

1 1.00 0.80 0.71 0.86 1.72 0.87 0.74 2.69 0.73

time (sec)

N/A 0.258 0.059 0.236 0.037 0.083 0.114 0.124 0.146 1.028

Problem 448

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 80 98 62 64 100 70 112 126 60

N.S.

1 1.00 1.22 0.78 0.80 1.25 0.88 1.40 1.58 0.75

time (sec)

N/A 0.232 0.033 0.257 0.026 0.078 0.099 0.121 0.151 1.038

Problem 449

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

73 73 67 57 59 95 63 103 121 55

N.S.

1 1.00 0.92 0.78 0.81 1.30 0.86 1.41 1.66 0.75

time (sec)

N/A 0.234 0.031 0.233 0.026 0.072 0.096 0.126 0.150 1.008

Problem 450

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 74 52 54 90 56 94 116 50

N.S.

1 1.00 1.12 0.79 0.82 1.36 0.85 1.42 1.76 0.76

time (sec)

N/A 0.230 0.026 0.233 0.029 0.067 0.092 0.123 0.155 0.025

Problem 451

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

59 59 55 47 49 85 49 83 111 45

N.S.

1 1.00 0.93 0.80 0.83 1.44 0.83 1.41 1.88 0.76

time (sec)

N/A 0.209 0.024 0.226 0.031 0.089 0.095 0.120 0.157 0.026

Problem 452

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 48 44 46 75 44 69 106 42

N.S.

1 1.00 0.89 0.81 0.85 1.39 0.81 1.28 1.96 0.78

time (sec)

N/A 0.214 0.021 0.232 0.026 0.072 0.099 0.121 0.153 0.067

Problem 453

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 47 44 46 75 46 51 106 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.85 0.94 1.96 0.70

time (sec)

N/A 0.218 0.024 0.224 0.030 0.079 0.075 0.123 0.158 0.990

Problem 454

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 48 44 46 75 44 51 106 38

N.S.

1 1.00 0.89 0.81 0.85 1.39 0.81 0.94 1.96 0.70

time (sec)

N/A 0.210 0.022 0.222 0.033 0.084 0.077 0.118 0.154 0.026

Problem 455

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 62 44 46 75 44 51 106 38

N.S.

1 1.00 1.15 0.81 0.85 1.39 0.81 0.94 1.96 0.70

time (sec)

N/A 0.204 0.015 0.204 0.031 0.083 0.068 0.125 0.154 1.010

Problem 456

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 62 44 46 75 44 51 106 38

N.S.

1 1.00 1.15 0.81 0.85 1.39 0.81 0.94 1.96 0.70

time (sec)

N/A 0.208 0.013 0.201 0.030 0.084 0.074 0.116 0.156 0.024

Problem 457

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

64 64 60 52 54 98 54 66 145 47

N.S.

1 1.00 0.94 0.81 0.84 1.53 0.84 1.03 2.27 0.73

time (sec)

N/A 0.234 0.021 0.230 0.024 0.072 0.103 0.120 0.156 0.028

Problem 458

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

75 75 68 62 64 123 65 86 188 55

N.S.

1 1.00 0.91 0.83 0.85 1.64 0.87 1.15 2.51 0.73

time (sec)

N/A 0.230 0.046 0.276 0.026 0.087 0.118 0.127 0.152 0.026

Problem 459

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

86 86 74 68 74 148 75 95 231 66

N.S.

1 1.00 0.86 0.79 0.86 1.72 0.87 1.10 2.69 0.77

time (sec)

N/A 0.258 0.041 0.234 0.026 0.068 0.114 0.123 0.153 1.050

Problem 460

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

97 97 88 73 84 173 85 104 274 76

N.S.

1 1.00 0.91 0.75 0.87 1.78 0.88 1.07 2.82 0.78

time (sec)

N/A 0.273 0.090 0.231 0.030 0.077 0.120 0.122 0.157 1.007

Problem 461

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

91 91 75 67 74 120 80 68 158 68

N.S.

1 1.00 0.82 0.74 0.81 1.32 0.88 0.75 1.74 0.75

time (sec)

N/A 0.283 0.030 0.247 0.041 0.087 0.105 0.128 0.162 0.027

Problem 462

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

84 84 70 62 69 115 73 63 153 63

N.S.

1 1.00 0.83 0.74 0.82 1.37 0.87 0.75 1.82 0.75

time (sec)

N/A 0.257 0.029 0.240 0.033 0.078 0.102 0.120 0.163 1.028

Problem 463

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 77 65 57 64 110 66 58 148 58

N.S.

1 1.00 0.84 0.74 0.83 1.43 0.86 0.75 1.92 0.75

time (sec)

N/A 0.233 0.023 0.238 0.031 0.079 0.096 0.126 0.155 0.025

Problem 464

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 70 60 52 59 105 60 53 143 52

N.S.

1 1.00 0.86 0.74 0.84 1.50 0.86 0.76 2.04 0.74

time (sec)

N/A 0.230 0.023 0.231 0.033 0.075 0.102 0.124 0.157 1.023

Problem 465

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 50 48 56 95 54 50 138 49

N.S.

1 1.00 0.77 0.74 0.86 1.46 0.83 0.77 2.12 0.75

time (sec)

N/A 0.237 0.019 0.221 0.035 0.077 0.100 0.125 0.153 0.062

Problem 466

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 56 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.86 0.71 2.12 0.69

time (sec)

N/A 0.228 0.020 0.225 0.027 0.085 0.081 0.116 0.180 1.013

Problem 467

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 54 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 2.12 0.69

time (sec)

N/A 0.236 0.021 0.223 0.026 0.094 0.089 0.121 0.183 1.052

Problem 468

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 54 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 2.12 0.69

time (sec)

N/A 0.232 0.020 0.227 0.033 0.068 0.082 0.125 0.168 0.027

Problem 469

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 54 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 2.12 0.69

time (sec)

N/A 0.235 0.015 0.201 0.032 0.081 0.080 0.122 0.191 1.008

Problem 470

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 48 48 56 95 54 46 138 45

N.S.

1 1.00 0.74 0.74 0.86 1.46 0.83 0.71 2.12 0.69

time (sec)

N/A 0.228 0.015 0.199 0.026 0.099 0.080 0.120 0.154 1.039

Problem 471

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

75 75 60 56 64 123 65 59 188 56

N.S.

1 1.00 0.80 0.75 0.85 1.64 0.87 0.79 2.51 0.75

time (sec)

N/A 0.240 0.043 0.232 0.033 0.100 0.110 0.122 0.153 0.028

Problem 472

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

86 86 76 68 74 148 75 95 231 65

N.S.

1 1.00 0.88 0.79 0.86 1.72 0.87 1.10 2.69 0.76

time (sec)

N/A 0.255 0.047 0.243 0.026 0.094 0.120 0.120 0.164 0.028

Problem 473

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

97 97 88 73 84 173 85 72 274 75

N.S.

1 1.00 0.91 0.75 0.87 1.78 0.88 0.74 2.82 0.77

time (sec)

N/A 0.273 0.093 0.245 0.038 0.081 0.116 0.122 0.155 1.058

Problem 474

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

108 108 82 78 94 198 95 81 317 85

N.S.

1 1.00 0.76 0.72 0.87 1.83 0.88 0.75 2.94 0.79

time (sec)

N/A 0.267 0.069 0.244 0.035 0.072 0.126 0.121 0.151 1.039

Problem 475

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

361 361 653 767 727 727 1018 987 987 787

N.S.

1 1.00 1.81 2.12 2.01 2.01 2.82 2.73 2.73 2.18

time (sec)

N/A 1.035 0.145 0.230 0.039 0.101 0.067 0.123 0.157 0.137

Problem 476

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

193 193 241 286 269 269 345 346 346 270

N.S.

1 1.00 1.25 1.48 1.39 1.39 1.79 1.79 1.79 1.40

time (sec)

N/A 0.529 0.053 0.207 0.028 0.072 0.034 0.117 0.148 1.086

Problem 477

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 56 53 53 52 62 63 62 59 54

N.S.

1 1.00 0.95 0.95 0.93 1.11 1.12 1.11 1.05 0.96

time (sec)

N/A 0.222 0.012 0.045 0.034 0.042 0.022 0.120 0.152 0.026

Problem 478

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

86 86 80 87 112 112 0 131 125 106

N.S.

1 1.00 0.93 1.01 1.30 1.30 0.00 1.52 1.45 1.23

time (sec)

N/A 0.273 0.031 0.396 0.033 2.807 0.000 0.126 0.153 0.218

Problem 479

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

234 234 232 235 2096 0 0 1635 8516 1940

N.S.

1 1.00 0.99 1.00 8.96 0.00 0.00 6.99 36.39 8.29

time (sec)

N/A 0.669 0.295 0.642 0.107 0.000 0.000 0.163 0.178 4.823

Problem 480

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

495 495 490 514 11005 0 0 7111 42188 82532

N.S.

1 1.00 0.99 1.04 22.23 0.00 0.00 14.37 85.23 166.73

time (sec)

N/A 1.778 0.667 1.829 0.561 0.000 0.000 0.211 0.855 12.814

Problem 481

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

164 154 190 192 0 591 258 371 561 330

N.S.

1 0.94 1.16 1.17 0.00 3.60 1.57 2.26 3.42 2.01

time (sec)

N/A 0.266 0.247 0.752 0.000 0.128 4.127 0.134 0.161 0.080

Problem 482

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

130 125 129 138 0 373 175 226 323 236

N.S.

1 0.96 0.99 1.06 0.00 2.87 1.35 1.74 2.48 1.82

time (sec)

N/A 0.233 0.183 0.425 0.000 0.127 3.889 0.127 0.159 1.110

Problem 483

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 96 94 101 0 211 124 122 139 107

N.S.

1 0.98 0.96 1.03 0.00 2.15 1.27 1.24 1.42 1.09

time (sec)

N/A 0.215 0.194 0.398 0.000 0.109 3.674 0.127 0.159 0.085

Problem 484

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 74 74 63 0 209 92 66 122 62

N.S.

1 1.00 1.00 0.85 0.00 2.82 1.24 0.89 1.65 0.84

time (sec)

N/A 0.188 0.115 0.395 0.000 0.104 1.647 0.127 0.168 0.051

Problem 485

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

88 88 88 79 0 363 110 87 161 96

N.S.

1 1.00 1.00 0.90 0.00 4.12 1.25 0.99 1.83 1.09

time (sec)

N/A 0.207 0.181 0.375 0.000 0.096 3.808 0.117 0.173 0.075

Problem 486

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 124 117 116 0 486 138 153 383 128

N.S.

1 1.04 0.98 0.97 0.00 4.08 1.16 1.29 3.22 1.08

time (sec)

N/A 0.229 0.222 0.507 0.000 0.092 4.883 0.134 0.162 1.184

Problem 487

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

151 160 183 149 0 882 170 276 719 173

N.S.

1 1.06 1.21 0.99 0.00 5.84 1.13 1.83 4.76 1.15

time (sec)

N/A 0.252 0.307 0.438 0.000 0.125 5.430 0.133 0.165 0.137

Problem 488

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

185 196 265 178 0 1376 204 439 1131 218

N.S.

1 1.06 1.43 0.96 0.00 7.44 1.10 2.37 6.11 1.18

time (sec)

N/A 0.267 0.462 0.490 0.000 0.193 6.121 0.128 0.171 0.157

Problem 489

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

208 208 295 294 0 1068 442 647 1068 602

N.S.

1 1.00 1.42 1.41 0.00 5.13 2.12 3.11 5.13 2.89

time (sec)

N/A 0.394 0.365 0.631 0.000 0.102 4.190 0.130 0.164 1.154

Problem 490

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

172 172 204 211 0 694 299 404 650 438

N.S.

1 1.00 1.19 1.23 0.00 4.03 1.74 2.35 3.78 2.55

time (sec)

N/A 0.319 0.267 0.857 0.000 0.097 3.776 0.138 0.164 0.076

Problem 491

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 138 152 154 0 402 211 236 318 281

N.S.

1 1.00 1.10 1.12 0.00 2.91 1.53 1.71 2.30 2.04

time (sec)

N/A 0.281 0.203 0.457 0.000 0.080 3.491 0.133 0.162 1.155

Problem 492

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

112 112 99 99 0 375 162 142 273 152

N.S.

1 1.00 0.88 0.88 0.00 3.35 1.45 1.27 2.44 1.36

time (sec)

N/A 0.269 0.151 0.446 0.000 0.115 2.745 0.130 0.164 0.066

Problem 493

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

112 112 126 134 0 600 156 136 314 162

N.S.

1 1.00 1.12 1.20 0.00 5.36 1.39 1.21 2.80 1.45

time (sec)

N/A 0.295 0.184 0.458 0.000 0.115 6.311 0.131 0.165 1.116

Problem 494

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

140 140 135 146 0 975 185 229 623 203

N.S.

1 1.00 0.96 1.04 0.00 6.96 1.32 1.64 4.45 1.45

time (sec)

N/A 0.335 0.244 0.559 0.000 0.148 8.506 0.130 0.171 0.142

Problem 495

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

173 173 253 214 0 1155 214 423 1069 264

N.S.

1 1.00 1.46 1.24 0.00 6.68 1.24 2.45 6.18 1.53

time (sec)

N/A 0.396 0.372 0.523 0.000 0.135 13.294 0.138 0.176 1.212

Problem 496

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

207 207 378 258 0 1781 248 682 1649 327

N.S.

1 1.00 1.83 1.25 0.00 8.60 1.20 3.29 7.97 1.58

time (sec)

N/A 0.452 0.565 0.569 0.000 0.198 13.094 0.140 0.170 0.206

Problem 497

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

280 280 435 553 0 1741 690 989 1725 897

N.S.

1 1.00 1.55 1.98 0.00 6.22 2.46 3.53 6.16 3.20

time (sec)

N/A 0.475 0.542 1.155 0.000 0.116 6.234 0.156 0.169 0.104

Problem 498

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

244 244 313 316 0 1165 488 652 1098 672

N.S.

1 1.00 1.28 1.30 0.00 4.77 2.00 2.67 4.50 2.75

time (sec)

N/A 0.387 0.379 0.625 0.000 0.115 5.805 0.145 0.160 1.115

Problem 499

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

210 210 249 239 0 705 362 413 589 451

N.S.

1 1.00 1.19 1.14 0.00 3.36 1.72 1.97 2.80 2.15

time (sec)

N/A 0.367 0.300 0.564 0.000 0.115 5.386 0.135 0.157 1.100

Problem 500

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

184 184 157 158 0 653 296 283 521 264

N.S.

1 1.00 0.85 0.86 0.00 3.55 1.61 1.54 2.83 1.43

time (sec)

N/A 0.340 0.220 0.500 0.000 0.100 4.790 0.133 0.161 1.126