2.2.2 Integrals 101 to 200

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 101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

33 31 31 23 23 25 39 23 25 25

N.S.

1 0.94 0.94 0.70 0.70 0.76 1.18 0.70 0.76 0.76

time (sec)

N/A 0.245 0.007 0.231 0.183 0.242 0.133 0.265 0.001 0.177

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

2 2 2 3 13 2 2 2 2 0

N.S.

1 1.00 1.00 1.50 6.50 1.00 1.00 1.00 1.00 0.00

time (sec)

N/A 0.149 0.003 0.060 0.212 0.244 0.392 0.294 0.000 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

2 2 2 3 13 2 12 2 2 0

N.S.

1 1.00 1.00 1.50 6.50 1.00 6.00 1.00 1.00 0.00

time (sec)

N/A 0.144 0.004 0.130 0.218 0.240 0.632 0.277 0.000 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 10 10 11 15 13 17 13 13 0

N.S.

1 1.00 1.00 1.10 1.50 1.30 1.70 1.30 1.30 0.00

time (sec)

N/A 0.193 0.003 0.142 0.220 0.242 0.905 0.290 0.000 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 12 17 11 10 11 11 0

N.S.

1 1.00 1.00 0.80 1.13 0.73 0.67 0.73 0.73 0.00

time (sec)

N/A 0.177 0.011 0.174 0.248 0.240 0.663 0.281 0.000 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 12 17 20 18 12 16 16 16

N.S.

1 1.00 1.00 1.42 1.67 1.50 1.00 1.33 1.33 1.33

time (sec)

N/A 0.177 0.006 0.049 0.201 0.261 0.047 0.298 0.000 0.022

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 22 12 11 11 14 11 11 11

N.S.

1 1.00 2.00 1.09 1.00 1.00 1.27 1.00 1.00 1.00

time (sec)

N/A 0.136 0.009 0.084 0.184 0.234 0.055 0.284 0.000 0.022

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 10 21 11 10 10 12 10 10 10

N.S.

1 1.00 2.10 1.10 1.00 1.00 1.20 1.00 1.00 1.00

time (sec)

N/A 0.141 0.009 0.073 0.184 0.235 0.073 0.266 0.000 0.022

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 12 17 11 18 19 13 16 16

N.S.

1 1.00 1.00 1.42 0.92 1.50 1.58 1.08 1.33 1.33

time (sec)

N/A 0.143 0.009 0.036 0.193 0.251 0.058 0.277 0.000 0.197

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 13 23 26 11 27 29 56 28 28

N.S.

1 1.18 2.09 2.36 1.00 2.45 2.64 5.09 2.55 2.55

time (sec)

N/A 0.150 0.007 0.041 0.188 0.251 0.069 0.277 0.000 0.141

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 38 15 26 30 17 51 14 12

N.S.

1 1.00 3.17 1.25 2.17 2.50 1.42 4.25 1.17 1.00

time (sec)

N/A 0.145 0.016 0.119 0.187 0.255 0.294 0.271 0.001 0.095

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 11 19 26 28 34 28 31 11

N.S.

1 1.00 1.00 1.73 2.36 2.55 3.09 2.55 2.82 1.00

time (sec)

N/A 0.157 0.002 0.164 0.201 0.245 0.334 0.291 0.001 0.023

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 23 19 24 23 46 18 23 18

N.S.

1 1.00 0.92 0.76 0.96 0.92 1.84 0.72 0.92 0.72

time (sec)

N/A 0.159 0.022 0.141 0.187 0.244 0.091 0.269 0.000 0.185

Problem 114

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

27 24 29 22 22 22 37 25 31 24

N.S.

1 0.89 1.07 0.81 0.81 0.81 1.37 0.93 1.15 0.89

time (sec)

N/A 0.168 0.011 0.204 0.176 0.242 0.132 0.284 0.001 0.139

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 23 19 22 22 46 18 22 18

N.S.

1 1.00 0.92 0.76 0.88 0.88 1.84 0.72 0.88 0.72

time (sec)

N/A 0.160 0.016 0.143 0.185 0.261 0.091 0.295 0.001 0.159

Problem 116

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

26 26 26 22 22 21 36 22 23 24

N.S.

1 1.00 1.00 0.85 0.85 0.81 1.38 0.85 0.88 0.92

time (sec)

N/A 0.166 0.006 0.200 0.181 0.247 0.119 0.276 0.001 0.025

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 10 10 11 10 18 58 10 18 10

N.S.

1 1.00 1.00 1.10 1.00 1.80 5.80 1.00 1.80 1.00

time (sec)

N/A 0.160 0.003 0.177 0.210 0.248 0.620 0.285 0.001 0.126

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

9 9 6 5 9 9 3 30 4 4

N.S.

1 1.00 0.67 0.56 1.00 1.00 0.33 3.33 0.44 0.44

time (sec)

N/A 0.146 0.004 0.056 0.183 0.244 0.114 0.284 0.001 0.143

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 8 9 10 10 7 8 8 6

N.S.

1 1.00 0.67 0.75 0.83 0.83 0.58 0.67 0.67 0.50

time (sec)

N/A 0.151 0.035 0.068 0.181 0.245 0.178 0.294 0.000 0.160

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 10 23 11 15 18 8 10 14 10

N.S.

1 1.00 2.30 1.10 1.50 1.80 0.80 1.00 1.40 1.00

time (sec)

N/A 0.144 0.010 0.073 0.185 0.242 0.201 0.282 0.001 0.023

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 25 11 15 17 8 10 14 10

N.S.

1 1.00 2.27 1.00 1.36 1.55 0.73 0.91 1.27 0.91

time (sec)

N/A 0.171 0.013 0.102 0.178 0.244 0.212 0.284 0.000 0.023

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 46 40 39 0 148 100 48 45 45

N.S.

1 1.15 1.00 0.98 0.00 3.70 2.50 1.20 1.12 1.12

time (sec)

N/A 0.191 0.033 0.152 0.000 0.278 1.976 0.269 0.001 0.389

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

47 52 44 43 0 287 1872 60 54 58

N.S.

1 1.11 0.94 0.91 0.00 6.11 39.83 1.28 1.15 1.23

time (sec)

N/A 0.207 0.073 0.300 0.000 0.275 72.566 0.282 0.002 0.266

Problem 124

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 78 47 46 117 54 105 45 67 52

N.S.

1 1.07 0.64 0.63 1.60 0.74 1.44 0.62 0.92 0.71

time (sec)

N/A 0.264 0.106 0.237 0.187 0.250 0.359 0.267 0.001 0.146

Problem 125

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

15 15 15 12 11 12 20 11 17 9

N.S.

1 1.00 1.00 0.80 0.73 0.80 1.33 0.73 1.13 0.60

time (sec)

N/A 0.159 0.003 0.180 0.183 0.250 0.142 0.291 0.000 0.027

Problem 126

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 78 47 46 113 54 105 45 64 52

N.S.

1 1.07 0.64 0.63 1.55 0.74 1.44 0.62 0.88 0.71

time (sec)

N/A 0.264 0.085 0.276 0.183 0.246 0.246 0.270 0.001 0.109

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 19 22 14 31 14 29 29 21

N.S.

1 1.00 1.36 1.57 1.00 2.21 1.00 2.07 2.07 1.50

time (sec)

N/A 0.188 0.006 0.051 0.185 0.257 0.039 0.281 0.000 0.172

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

104 125 101 138 491 182 0 0 59 0

N.S.

1 1.20 0.97 1.33 4.72 1.75 0.00 0.00 0.57 0.00

time (sec)

N/A 0.758 0.110 0.142 0.323 0.281 0.000 0.000 0.001 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

153 294 133 237 777 212 0 0 88 0

N.S.

1 1.92 0.87 1.55 5.08 1.39 0.00 0.00 0.58 0.00

time (sec)

N/A 1.573 0.228 0.168 0.571 0.255 0.000 0.000 0.000 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 20 107 21 19 23 19 13

N.S.

1 1.00 1.00 1.33 7.13 1.40 1.27 1.53 1.27 0.87

time (sec)

N/A 0.194 0.011 0.053 0.269 0.255 0.079 0.275 0.000 0.022

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 12 11 13 26 11 21 13

N.S.

1 1.00 1.00 0.80 0.73 0.87 1.73 0.73 1.40 0.87

time (sec)

N/A 0.161 0.008 0.204 0.181 0.245 0.140 0.278 0.000 0.044

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 29 14 11 10 19 14 10 18 18

N.S.

1 1.21 0.58 0.46 0.42 0.79 0.58 0.42 0.75 0.75

time (sec)

N/A 0.206 0.018 0.112 0.186 0.245 0.023 0.291 0.001 0.044

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

7 7 6 11 9 18 12 9 17 6

N.S.

1 1.00 0.86 1.57 1.29 2.57 1.71 1.29 2.43 0.86

time (sec)

N/A 0.174 0.023 0.208 0.197 0.234 0.025 0.290 0.001 0.064

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 22 23 25 22 104 328 22 22

N.S.

1 1.00 0.69 0.72 0.78 0.69 3.25 10.25 0.69 0.69

time (sec)

N/A 0.156 0.016 0.130 0.196 0.243 0.307 0.299 0.001 0.025

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 31 20 21 24 20 107 329 20 20

N.S.

1 1.00 0.65 0.68 0.77 0.65 3.45 10.61 0.65 0.65

time (sec)

N/A 0.156 0.014 0.141 0.186 0.248 0.290 0.310 0.000 0.017

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 84 50 56 60 60 308 1156 63 57

N.S.

1 1.00 0.60 0.67 0.71 0.71 3.67 13.76 0.75 0.68

time (sec)

N/A 0.234 0.037 0.191 0.197 0.245 0.555 0.325 0.000 0.278

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 49 54 58 58 304 1155 61 55

N.S.

1 1.00 0.59 0.65 0.70 0.70 3.66 13.92 0.73 0.66

time (sec)

N/A 0.234 0.037 0.217 0.188 0.249 0.546 0.312 0.001 0.212

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 162 94 102 107 115 665 2631 139 133

N.S.

1 1.00 0.58 0.63 0.66 0.71 4.10 16.24 0.86 0.82

time (sec)

N/A 0.395 0.060 0.289 0.198 0.260 1.284 0.333 0.001 0.391

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 162 93 100 105 111 668 2631 137 132

N.S.

1 1.01 0.58 0.62 0.65 0.69 4.15 16.34 0.85 0.82

time (sec)

N/A 0.385 0.052 0.335 0.214 0.258 1.011 0.306 0.001 0.335

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

261 263 169 166 186 203 1355 5069 264 231

N.S.

1 1.01 0.65 0.64 0.71 0.78 5.19 19.42 1.01 0.89

time (sec)

N/A 0.624 0.101 0.443 0.220 0.251 2.140 0.350 0.001 0.614

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

260 262 168 164 184 202 1352 5065 262 232

N.S.

1 1.01 0.65 0.63 0.71 0.78 5.20 19.48 1.01 0.89

time (sec)

N/A 0.617 0.083 0.525 0.228 0.259 2.215 0.334 0.001 0.619

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 20 19 17 114 13 89 14

N.S.

1 1.00 1.00 0.80 0.76 0.68 4.56 0.52 3.56 0.56

time (sec)

N/A 0.214 0.051 1.320 0.196 0.257 1.136 0.288 0.001 0.166

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 30 23 22 25 114 22 89 22

N.S.

1 1.00 1.00 0.77 0.73 0.83 3.80 0.73 2.97 0.73

time (sec)

N/A 0.197 0.034 1.333 0.193 0.247 1.142 0.279 0.001 0.280

Problem 144

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

85 97 55 61 55 59 100 60 73 67

N.S.

1 1.14 0.65 0.72 0.65 0.69 1.18 0.71 0.86 0.79

time (sec)

N/A 0.473 0.054 0.305 0.193 0.249 0.340 0.313 0.002 0.231

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 13 15 240 22 17 17 17 17

N.S.

1 1.00 1.18 1.36 21.82 2.00 1.55 1.55 1.55 1.55

time (sec)

N/A 0.466 0.590 0.230 0.223 0.264 53.385 0.301 0.002 0.384

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 18 12 11 41 16 0 18 16 10

N.S.

1 1.50 1.00 0.92 3.42 1.33 0.00 1.50 1.33 0.83

time (sec)

N/A 0.188 0.017 0.375 0.213 0.250 0.000 0.299 0.000 0.177

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 83 76 107 0 312 0 98 150 133

N.S.

1 1.08 0.99 1.39 0.00 4.05 0.00 1.27 1.95 1.73

time (sec)

N/A 0.312 0.349 0.394 0.000 0.286 0.000 0.317 0.004 0.494

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 17 17 13 12 13 15 13 12 13

N.S.

1 1.00 1.00 0.76 0.71 0.76 0.88 0.76 0.71 0.76

time (sec)

N/A 0.142 0.005 0.079 0.189 0.245 0.137 0.284 0.000 0.129

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 17 17 11 10 13 15 13 10 13

N.S.

1 1.00 1.00 0.65 0.59 0.76 0.88 0.76 0.59 0.76

time (sec)

N/A 0.146 0.005 0.078 0.180 0.261 0.128 0.266 0.000 0.162

Problem 150

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

3 3 3 3 2 2 2 2 3 2

N.S.

1 1.00 1.00 1.00 0.67 0.67 0.67 0.67 1.00 0.67

time (sec)

N/A 0.122 0.000 0.023 0.201 0.233 0.030 0.281 0.000 0.008

Problem 151

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

8 8 8 9 8 8 8 8 8 8

N.S.

1 1.00 1.00 1.12 1.00 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.130 0.000 0.036 0.186 0.241 0.044 0.310 0.000 0.164

Problem 152

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

9 9 9 9 8 8 7 8 9 8

N.S.

1 1.00 1.00 1.00 0.89 0.89 0.78 0.89 1.00 0.89

time (sec)

N/A 0.129 0.006 0.029 0.183 0.224 0.041 0.292 0.000 0.027

Problem 153

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

4 4 4 9 4 4 3 4 4 4

N.S.

1 1.00 1.00 2.25 1.00 1.00 0.75 1.00 1.00 1.00

time (sec)

N/A 0.135 0.010 0.053 0.227 0.231 0.470 0.287 0.000 0.015

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 30 38 23 23 22 15 26 23 22

N.S.

1 1.25 1.58 0.96 0.96 0.92 0.62 1.08 0.96 0.92

time (sec)

N/A 0.157 0.017 0.040 0.238 0.237 0.050 0.308 0.000 0.096

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 12 11 10 10 8 10 12 10

N.S.

1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 1.00 0.83

time (sec)

N/A 0.159 0.015 0.038 0.173 0.239 0.035 0.290 0.000 0.046

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

13 13 13 13 14 12 14 14 15 14

N.S.

1 1.00 1.00 1.00 1.08 0.92 1.08 1.08 1.15 1.08

time (sec)

N/A 0.137 0.009 0.035 0.192 0.237 0.058 0.276 0.000 0.055

Problem 157

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

31 31 31 22 23 85 24 21 30 21

N.S.

1 1.00 1.00 0.71 0.74 2.74 0.77 0.68 0.97 0.68

time (sec)

N/A 0.165 0.027 0.066 0.270 0.244 0.097 0.281 0.001 0.249

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 21 14 14 13 13 19 13 14 13

N.S.

1 1.00 0.67 0.67 0.62 0.62 0.90 0.62 0.67 0.62

time (sec)

N/A 0.158 0.010 0.039 0.187 0.240 0.039 0.276 0.000 0.027

Problem 159

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

163 201 102 102 101 101 102 101 102 101

N.S.

1 1.23 0.63 0.63 0.62 0.62 0.63 0.62 0.63 0.62

time (sec)

N/A 1.068 0.074 0.126 0.182 0.236 0.060 0.295 0.000 0.342

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 19 0 18 0 216 18 18

N.S.

1 1.00 1.00 1.06 0.00 1.00 0.00 12.00 1.00 1.00

time (sec)

N/A 0.168 0.016 0.078 0.000 0.257 0.000 0.297 0.001 0.200

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 15 0 14 31 237 14 14

N.S.

1 1.00 1.00 1.07 0.00 1.00 2.21 16.93 1.00 1.00

time (sec)

N/A 0.157 0.013 0.076 0.000 0.244 0.304 0.284 0.000 0.174

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 17 17 21 10 19 0 0 19 19

N.S.

1 1.00 1.00 1.24 0.59 1.12 0.00 0.00 1.12 1.12

time (sec)

N/A 0.165 0.014 0.076 0.232 0.228 0.000 0.000 0.000 0.132

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

64 64 43 79 0 54 0 0 51 0

N.S.

1 1.00 0.67 1.23 0.00 0.84 0.00 0.00 0.80 0.00

time (sec)

N/A 0.253 0.212 0.146 0.000 0.248 0.000 0.000 0.002 0.000

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 16 16 16 12 45 16 15

N.S.

1 1.00 1.00 1.00 1.00 1.00 0.75 2.81 1.00 0.94

time (sec)

N/A 0.167 0.106 0.086 0.182 0.241 0.049 0.306 0.000 0.205

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

13 13 13 12 11 11 15 11 11 11

N.S.

1 1.00 1.00 0.92 0.85 0.85 1.15 0.85 0.85 0.85

time (sec)

N/A 0.140 0.011 0.044 0.197 0.245 0.039 0.283 0.000 0.027

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 11 8 9 7 8 9 9 7

N.S.

1 1.00 1.00 0.73 0.82 0.64 0.73 0.82 0.82 0.64

time (sec)

N/A 0.133 0.012 0.022 0.174 0.236 0.083 0.284 0.000 0.018

Problem 167

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

9 9 9 7 6 6 5 6 7 6

N.S.

1 1.00 1.00 0.78 0.67 0.67 0.56 0.67 0.78 0.67

time (sec)

N/A 0.134 0.009 0.033 0.185 0.241 0.034 0.279 0.001 0.019

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 17 18 17 17 14 24 17 17

N.S.

1 1.00 0.63 0.67 0.63 0.63 0.52 0.89 0.63 0.63

time (sec)

N/A 0.264 0.009 0.056 0.211 0.235 0.048 0.277 0.000 0.160

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 0 25 23 22 36 31 36 25 0

N.S.

1 0.00 1.00 0.92 0.88 1.44 1.24 1.44 1.00 0.00

time (sec)

N/A 0.000 0.101 0.137 0.260 0.249 0.145 0.284 0.015 0.000

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

9 9 11 5 7 7 8 7 11 7

N.S.

1 1.00 1.22 0.56 0.78 0.78 0.89 0.78 1.22 0.78

time (sec)

N/A 0.211 0.015 0.019 0.227 0.234 0.522 0.284 0.002 0.164

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

11 11 11 12 10 10 8 10 11 10

N.S.

1 1.00 1.00 1.09 0.91 0.91 0.73 0.91 1.00 0.91

time (sec)

N/A 0.162 0.006 0.049 0.213 0.233 1.134 0.277 0.001 0.028

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 17 21 15 15 17 15 22 28

N.S.

1 1.00 0.77 0.95 0.68 0.68 0.77 0.68 1.00 1.27

time (sec)

N/A 0.222 0.010 0.065 0.197 0.242 1.555 0.274 0.000 0.219

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 17 17 11 11 10 11 12 11

N.S.

1 1.00 0.74 0.74 0.48 0.48 0.43 0.48 0.52 0.48

time (sec)

N/A 0.167 0.005 0.036 0.187 0.228 0.043 0.274 0.000 0.044

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 13 12 12 12 12 11 12

N.S.

1 1.00 1.00 0.81 0.75 0.75 0.75 0.75 0.69 0.75

time (sec)

N/A 0.132 0.000 0.046 0.264 0.242 0.016 0.283 0.001 0.032

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 57 43 43 58 89 1166 48 44 49

N.S.

1 1.00 0.75 0.75 1.02 1.56 20.46 0.84 0.77 0.86

time (sec)

N/A 0.185 0.018 0.106 0.262 0.249 2.242 0.287 0.000 0.097

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 114 95 140 0 300 0 232 196 88

N.S.

1 0.98 0.82 1.21 0.00 2.59 0.00 2.00 1.69 0.76

time (sec)

N/A 0.195 0.175 0.118 0.000 0.260 0.000 0.312 0.004 0.154

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 16 13 12 12 12 12 16 12

N.S.

1 1.00 1.00 0.81 0.75 0.75 0.75 0.75 1.00 0.75

time (sec)

N/A 0.122 0.002 0.090 0.196 0.233 0.016 0.284 0.000 0.026

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 34 34 21 26 30 202 66 29 25

N.S.

1 1.00 1.00 0.62 0.76 0.88 5.94 1.94 0.85 0.74

time (sec)

N/A 0.145 0.015 0.127 0.181 0.243 0.667 0.268 0.000 0.031

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 35 32 41 42 666 93 41 37

N.S.

1 1.00 0.66 0.60 0.77 0.79 12.57 1.75 0.77 0.70

time (sec)

N/A 0.162 0.019 0.133 0.190 0.234 0.998 0.274 0.000 0.154

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 35 35 28 42 73 68 32 38 27

N.S.

1 1.00 1.00 0.80 1.20 2.09 1.94 0.91 1.09 0.77

time (sec)

N/A 0.145 0.022 0.101 0.280 0.272 0.792 0.271 0.001 0.149

Problem 181

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

39 39 39 32 47 93 44 41 51 31

N.S.

1 1.00 1.00 0.82 1.21 2.38 1.13 1.05 1.31 0.79

time (sec)

N/A 0.142 0.051 0.125 0.277 0.249 0.967 0.294 0.000 0.053

Problem 182

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

14 14 14 13 12 12 10 12 11 12

N.S.

1 1.00 1.00 0.93 0.86 0.86 0.71 0.86 0.79 0.86

time (sec)

N/A 0.120 0.001 0.089 0.182 0.237 0.016 0.290 0.000 0.017

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 23 21 26 19 162 23 18 25

N.S.

1 1.00 0.72 0.66 0.81 0.59 5.06 0.72 0.56 0.78

time (sec)

N/A 0.145 0.013 0.090 0.188 0.235 0.613 0.281 0.000 0.029

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 51 35 32 41 31 600 37 30 37

N.S.

1 1.00 0.69 0.63 0.80 0.61 11.76 0.73 0.59 0.73

time (sec)

N/A 0.151 0.019 0.099 0.192 0.233 0.987 0.276 0.000 0.040

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 23 18 32 56 24 21 31 17

N.S.

1 1.00 1.00 0.78 1.39 2.43 1.04 0.91 1.35 0.74

time (sec)

N/A 0.127 0.016 0.093 0.268 0.240 0.523 0.288 0.000 0.140

Problem 186

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

41 41 41 34 60 93 44 47 51 33

N.S.

1 1.00 1.00 0.83 1.46 2.27 1.07 1.15 1.24 0.80

time (sec)

N/A 0.141 0.046 0.122 0.271 0.242 1.339 0.297 0.001 0.156

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 26 25 21 25 24 21 24 21

N.S.

1 1.00 1.13 1.09 0.91 1.09 1.04 0.91 1.04 0.91

time (sec)

N/A 0.124 0.004 0.085 0.185 0.243 0.019 0.290 0.000 0.257

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 48 38 43 45 58 216 86 51 94

N.S.

1 1.00 0.79 0.90 0.94 1.21 4.50 1.79 1.06 1.96

time (sec)

N/A 0.162 0.035 0.083 0.188 0.231 0.320 0.307 0.000 0.452

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 54 48 37 52 37 230 52 36 43

N.S.

1 0.98 0.87 0.67 0.95 0.67 4.18 0.95 0.65 0.78

time (sec)

N/A 0.228 0.026 0.153 0.275 0.250 0.480 0.278 0.001 0.176

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

12 12 38 11 14 14 10 26 9 10

N.S.

1 1.00 3.17 0.92 1.17 1.17 0.83 2.17 0.75 0.83

time (sec)

N/A 0.125 0.003 0.135 0.190 0.244 0.065 0.257 0.000 0.172

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 39 34 71 34 119 39 28 30

N.S.

1 1.00 0.91 0.79 1.65 0.79 2.77 0.91 0.65 0.70

time (sec)

N/A 0.143 0.041 0.096 0.191 0.244 1.782 0.276 0.001 0.235

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 22 17 16 16 20 16 13 16

N.S.

1 1.00 1.00 0.77 0.73 0.73 0.91 0.73 0.59 0.73

time (sec)

N/A 0.211 0.012 0.064 0.200 0.235 0.102 0.272 0.000 0.217

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

13 13 13 12 11 18 8 11 33 11

N.S.

1 1.00 1.00 0.92 0.85 1.38 0.62 0.85 2.54 0.85

time (sec)

N/A 0.123 0.002 0.146 0.200 0.231 0.261 0.277 0.008 0.246

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

8 8 8 7 16 18 19 6 6 16

N.S.

1 1.00 1.00 0.88 2.00 2.25 2.38 0.75 0.75 2.00

time (sec)

N/A 0.127 0.092 0.287 0.314 0.236 0.500 0.288 0.000 0.275

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 14 11 25 25 8 25 29 10

N.S.

1 1.00 1.00 0.79 1.79 1.79 0.57 1.79 2.07 0.71

time (sec)

N/A 0.140 0.017 0.230 0.208 0.239 0.485 0.305 0.001 0.162

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 26 14 0 22 0 22 26 18

N.S.

1 1.00 1.44 0.78 0.00 1.22 0.00 1.22 1.44 1.00

time (sec)

N/A 0.153 0.064 0.206 0.000 0.229 0.000 0.266 0.001 0.311

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 29 23 17 55 0 0 19 32

N.S.

1 1.00 0.97 0.77 0.57 1.83 0.00 0.00 0.63 1.07

time (sec)

N/A 0.160 0.102 0.648 0.292 0.233 0.000 0.000 0.003 0.431

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 17 17 15 14 17 0 35 13 14

N.S.

1 1.00 1.00 0.88 0.82 1.00 0.00 2.06 0.76 0.82

time (sec)

N/A 0.131 0.117 0.115 0.275 0.232 0.000 0.290 0.001 0.143

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

2 2 16 3 2 14 2 25 9 2

N.S.

1 1.00 8.00 1.50 1.00 7.00 1.00 12.50 4.50 1.00

time (sec)

N/A 0.112 0.012 0.118 0.282 0.222 0.061 0.278 0.000 0.026

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 30 15 14 14 17 0 11 14

N.S.

1 1.00 1.50 0.75 0.70 0.70 0.85 0.00 0.55 0.70

time (sec)

N/A 0.507 0.011 0.131 0.186 0.222 0.227 0.000 0.000 0.306