Integrals 1 to 100

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 1

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

47 47 47 40 39 39 42 43 38 41

N.S.

1 1.00 1.00 0.85 0.83 0.83 0.89 0.91 0.81 0.87

time (sec)

N/A 0.214 0.013 0.276 0.031 0.063 0.018 0.201 0.213 0.049

Problem 2

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

47 47 47 40 39 39 42 43 38 41

N.S.

1 1.00 1.00 0.85 0.83 0.83 0.89 0.91 0.81 0.87

time (sec)

N/A 0.215 0.015 0.267 0.027 0.063 0.017 0.211 0.210 0.043

Problem 3

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

47 47 41 40 39 39 42 43 38 41

N.S.

1 1.00 0.87 0.85 0.83 0.83 0.89 0.91 0.81 0.87

time (sec)

N/A 0.209 0.014 0.269 0.028 0.062 0.021 0.221 0.214 0.043

Problem 4

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

42 42 42 37 36 36 39 40 36 38

N.S.

1 1.00 1.00 0.88 0.86 0.86 0.93 0.95 0.86 0.90

time (sec)

N/A 0.202 0.014 0.234 0.033 0.062 0.016 0.219 0.205 0.043

Problem 5

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 38 36 34 34 36 36 34 35

N.S.

1 1.00 1.00 0.95 0.89 0.89 0.95 0.95 0.89 0.92

time (sec)

N/A 0.188 0.013 0.098 0.032 0.065 0.050 0.191 0.224 0.043

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 36 34 34 40 31 34 39 34

N.S.

1 1.00 1.00 0.94 0.94 1.11 0.86 0.94 1.08 0.94

time (sec)

N/A 0.192 0.019 0.096 0.029 0.064 0.078 0.221 0.293 0.040

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 37 35 34 41 36 35 42 34

N.S.

1 1.00 1.03 0.97 0.94 1.14 1.00 0.97 1.17 0.94

time (sec)

N/A 0.191 0.023 0.083 0.030 0.069 0.154 0.209 0.222 0.053

Problem 8

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 38 38 41 44 39 40 38

N.S.

1 1.00 1.00 0.93 0.93 1.00 1.07 0.95 0.98 0.93

time (sec)

N/A 0.192 0.030 0.069 0.027 0.064 0.320 0.198 0.234 0.056

Problem 9

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 42 40 39 39 46 41 38 40

N.S.

1 1.00 0.93 0.89 0.87 0.87 1.02 0.91 0.84 0.89

time (sec)

N/A 0.192 0.017 0.062 0.028 0.061 0.490 0.188 0.247 0.030

Problem 10

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

47 47 44 40 39 39 46 41 38 41

N.S.

1 1.00 0.94 0.85 0.83 0.83 0.98 0.87 0.81 0.87

time (sec)

N/A 0.191 0.017 0.070 0.034 0.065 0.884 0.213 0.230 0.030

Problem 11

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

47 47 45 40 39 39 46 41 38 41

N.S.

1 1.00 0.96 0.85 0.83 0.83 0.98 0.87 0.81 0.87

time (sec)

N/A 0.188 0.018 0.063 0.045 0.062 1.105 0.224 0.275 0.030

Problem 12

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

47 47 46 40 39 39 46 41 38 41

N.S.

1 1.00 0.98 0.85 0.83 0.83 0.98 0.87 0.81 0.87

time (sec)

N/A 0.190 0.019 0.079 0.030 0.064 1.562 0.242 0.238 0.031

Problem 13

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

101 101 101 94 93 93 105 103 79 93

N.S.

1 1.00 1.00 0.93 0.92 0.92 1.04 1.02 0.78 0.92

time (sec)

N/A 0.315 0.028 1.157 0.031 0.068 0.026 0.190 0.232 0.046

Problem 14

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

101 101 101 94 93 93 105 103 79 93

N.S.

1 1.00 1.00 0.93 0.92 0.92 1.04 1.02 0.78 0.92

time (sec)

N/A 0.287 0.023 1.081 0.036 0.081 0.025 0.228 0.231 0.032

Problem 15

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

96 96 96 90 90 90 100 99 77 89

N.S.

1 1.00 1.00 0.94 0.94 0.94 1.04 1.03 0.80 0.93

time (sec)

N/A 0.281 0.022 1.093 0.032 0.077 0.036 0.219 0.216 0.032

Problem 16

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

92 92 92 87 88 88 95 95 74 86

N.S.

1 1.00 1.00 0.95 0.96 0.96 1.03 1.03 0.80 0.93

time (sec)

N/A 0.248 0.037 0.931 0.029 0.072 0.095 0.204 0.216 0.037

Problem 17

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

90 90 87 90 88 95 88 92 81 86

N.S.

1 1.00 0.97 1.00 0.98 1.06 0.98 1.02 0.90 0.96

time (sec)

N/A 0.275 0.056 1.069 0.034 0.075 0.113 0.204 0.216 10.620

Problem 18

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

90 90 86 87 88 95 94 89 83 87

N.S.

1 1.00 0.96 0.97 0.98 1.06 1.04 0.99 0.92 0.97

time (sec)

N/A 0.263 0.053 1.073 0.029 0.073 0.227 0.213 0.232 10.581

Problem 19

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

90 90 90 86 89 95 99 89 83 87

N.S.

1 1.00 1.00 0.96 0.99 1.06 1.10 0.99 0.92 0.97

time (sec)

N/A 0.257 0.056 1.035 0.034 0.075 0.652 0.180 0.217 10.514

Problem 20

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

90 90 92 85 89 95 99 90 83 86

N.S.

1 1.00 1.02 0.94 0.99 1.06 1.10 1.00 0.92 0.96

time (sec)

N/A 0.258 0.055 1.095 0.028 0.070 1.424 0.247 0.226 10.181

Problem 21

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

95 95 92 88 92 95 105 93 81 89

N.S.

1 1.00 0.97 0.93 0.97 1.00 1.11 0.98 0.85 0.94

time (sec)

N/A 0.249 0.063 1.053 0.026 0.069 3.186 0.211 0.217 0.067

Problem 22

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

99 99 97 90 93 93 107 101 79 91

N.S.

1 1.00 0.98 0.91 0.94 0.94 1.08 1.02 0.80 0.92

time (sec)

N/A 0.242 0.048 0.937 0.034 0.068 6.037 0.236 0.234 10.229

Problem 23

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

101 101 100 90 93 93 107 101 79 93

N.S.

1 1.00 0.99 0.89 0.92 0.92 1.06 1.00 0.78 0.92

time (sec)

N/A 0.248 0.069 0.973 0.043 0.070 10.847 0.174 0.237 0.049

Problem 24

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

101 101 99 90 93 93 107 101 79 93

N.S.

1 1.00 0.98 0.89 0.92 0.92 1.06 1.00 0.78 0.92

time (sec)

N/A 0.247 0.042 0.923 0.036 0.071 18.917 0.233 0.231 0.048

Problem 25

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

166 166 166 169 166 166 201 192 134 168

N.S.

1 1.00 1.00 1.02 1.00 1.00 1.21 1.16 0.81 1.01

time (sec)

N/A 0.446 0.054 1.016 0.045 0.069 0.033 0.199 0.222 10.223

Problem 26

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

166 166 166 168 166 166 199 191 134 167

N.S.

1 1.00 1.00 1.01 1.00 1.00 1.20 1.15 0.81 1.01

time (sec)

N/A 0.404 0.041 1.107 0.027 0.072 0.033 0.225 0.282 0.048

Problem 27

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

158 158 158 164 162 162 190 187 132 163

N.S.

1 1.00 1.00 1.04 1.03 1.03 1.20 1.18 0.84 1.03

time (sec)

N/A 0.386 0.038 1.008 0.062 0.069 0.032 0.213 0.233 0.049

Problem 28

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

157 157 157 163 161 161 192 185 130 162

N.S.

1 1.00 1.00 1.04 1.03 1.03 1.22 1.18 0.83 1.03

time (sec)

N/A 0.324 0.070 0.980 0.059 0.078 0.137 0.218 0.273 10.205

Problem 29

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

156 156 156 168 162 168 184 183 136 163

N.S.

1 1.00 1.00 1.08 1.04 1.08 1.18 1.17 0.87 1.04

time (sec)

N/A 0.328 0.086 1.066 0.036 0.074 0.166 0.219 0.216 10.329

Problem 30

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

153 153 153 165 161 168 175 174 138 162

N.S.

1 1.00 1.00 1.08 1.05 1.10 1.14 1.14 0.90 1.06

time (sec)

N/A 0.338 0.077 0.987 0.042 0.074 0.300 0.219 0.217 0.058

Problem 31

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

155 155 160 162 162 168 187 169 138 164

N.S.

1 1.00 1.03 1.05 1.05 1.08 1.21 1.09 0.89 1.06

time (sec)

N/A 0.360 0.066 1.017 0.038 0.077 0.665 0.222 0.215 10.592

Problem 32

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

156 156 154 159 163 168 189 166 140 164

N.S.

1 1.00 0.99 1.02 1.04 1.08 1.21 1.06 0.90 1.05

time (sec)

N/A 0.341 0.067 1.022 0.037 0.071 2.085 0.176 0.231 10.398

Problem 33

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

154 154 161 151 163 168 182 162 138 162

N.S.

1 1.00 1.05 0.98 1.06 1.09 1.18 1.05 0.90 1.05

time (sec)

N/A 0.335 0.095 1.000 0.037 0.075 5.456 0.220 0.237 0.072

Problem 34

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

155 155 169 149 162 168 187 162 138 163

N.S.

1 1.00 1.09 0.96 1.05 1.08 1.21 1.05 0.89 1.05

time (sec)

N/A 0.333 0.096 1.038 0.032 0.070 13.282 0.168 0.226 10.425

Problem 35

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

160 160 175 152 165 168 194 165 136 165

N.S.

1 1.00 1.09 0.95 1.03 1.05 1.21 1.03 0.85 1.03

time (sec)

N/A 0.330 0.087 0.937 0.035 0.072 26.691 0.219 0.232 10.463

Problem 36

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

162 162 172 154 166 166 196 191 134 165

N.S.

1 1.00 1.06 0.95 1.02 1.02 1.21 1.18 0.83 1.02

time (sec)

N/A 0.340 0.069 0.951 0.037 0.070 59.224 0.217 0.218 0.075

Problem 37

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

166 166 175 154 166 166 196 191 134 167

N.S.

1 1.00 1.05 0.93 1.00 1.00 1.18 1.15 0.81 1.01

time (sec)

N/A 0.334 0.066 0.960 0.041 0.070 121.609 0.245 0.206 0.074

Problem 38

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

166 166 176 154 166 166 0 191 134 168

N.S.

1 1.00 1.06 0.93 1.00 1.00 0.00 1.15 0.81 1.01

time (sec)

N/A 0.331 0.071 0.964 0.083 0.069 0.000 0.210 0.296 0.074

Problem 39

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

229 229 222 260 0 730 1100 235 587 302

N.S.

1 1.00 0.97 1.14 0.00 3.19 4.80 1.03 2.56 1.32

time (sec)

N/A 0.576 0.143 1.334 0.000 0.102 1.998 0.229 0.227 10.531

Problem 40

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

169 169 165 183 0 563 840 169 447 221

N.S.

1 1.00 0.98 1.08 0.00 3.33 4.97 1.00 2.64 1.31

time (sec)

N/A 0.413 0.100 1.358 0.000 0.101 1.708 0.217 0.237 10.479

Problem 41

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

121 121 119 127 0 414 609 116 321 168

N.S.

1 1.00 0.98 1.05 0.00 3.42 5.03 0.96 2.65 1.39

time (sec)

N/A 0.327 0.079 1.348 0.000 0.090 1.125 0.175 0.240 0.181

Problem 42

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

85 85 86 90 0 289 423 84 215 127

N.S.

1 1.00 1.01 1.06 0.00 3.40 4.98 0.99 2.53 1.49

time (sec)

N/A 0.264 0.090 1.266 0.000 0.086 0.744 0.240 0.229 0.231

Problem 43

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

66 66 66 62 0 204 280 63 123 162

N.S.

1 1.00 1.00 0.94 0.00 3.09 4.24 0.95 1.86 2.45

time (sec)

N/A 0.227 0.056 1.233 0.000 0.085 0.413 0.226 0.230 0.082

Problem 44

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

71 71 71 70 0 228 0 71 137 375

N.S.

1 1.00 1.00 0.99 0.00 3.21 0.00 1.00 1.93 5.28

time (sec)

N/A 0.267 0.113 1.281 0.000 0.109 0.000 0.231 0.215 11.377

Problem 45

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

104 104 100 122 0 361 0 102 261 791

N.S.

1 1.00 0.96 1.17 0.00 3.47 0.00 0.98 2.51 7.61

time (sec)

N/A 0.328 0.087 1.342 0.000 0.156 0.000 0.205 0.232 12.332

Problem 46

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

145 145 141 174 0 517 0 147 407 814

N.S.

1 1.00 0.97 1.20 0.00 3.57 0.00 1.01 2.81 5.61

time (sec)

N/A 0.401 0.132 1.326 0.000 0.317 0.000 0.212 0.275 11.666

Problem 47

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

204 204 196 243 0 687 0 206 559 1063

N.S.

1 1.00 0.96 1.19 0.00 3.37 0.00 1.01 2.74 5.21

time (sec)

N/A 0.486 0.146 1.330 0.000 0.737 0.000 0.220 0.231 12.104

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

266 266 249 349 0 1696 1572 284 1610 427

N.S.

1 1.00 0.94 1.31 0.00 6.38 5.91 1.07 6.05 1.61

time (sec)

N/A 0.723 0.395 1.349 0.000 0.173 3.946 0.205 0.221 11.666

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

202 204 190 269 0 1283 1248 225 1294 360

N.S.

1 1.01 0.94 1.33 0.00 6.35 6.18 1.11 6.41 1.78

time (sec)

N/A 0.515 0.309 1.302 0.000 0.104 2.890 0.202 0.224 11.499

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 157 146 200 0 813 901 162 766 895

N.S.

1 1.19 1.11 1.52 0.00 6.16 6.83 1.23 5.80 6.78

time (sec)

N/A 0.363 0.189 1.295 0.000 0.087 1.493 0.217 0.287 11.121

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

87 99 99 118 0 521 379 109 406 177

N.S.

1 1.14 1.14 1.36 0.00 5.99 4.36 1.25 4.67 2.03

time (sec)

N/A 0.246 0.077 1.197 0.000 0.083 0.679 0.190 0.225 10.887

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

87 87 88 89 0 459 359 96 404 159

N.S.

1 1.00 1.01 1.02 0.00 5.28 4.13 1.10 4.64 1.83

time (sec)

N/A 0.235 0.078 1.204 0.000 0.083 0.514 0.214 0.211 0.118

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

135 166 134 200 0 955 0 157 873 920

N.S.

1 1.23 0.99 1.48 0.00 7.07 0.00 1.16 6.47 6.81

time (sec)

N/A 0.430 0.204 1.283 0.000 0.316 0.000 0.180 0.218 12.198

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

201 232 192 293 0 1615 0 238 1575 1366

N.S.

1 1.15 0.96 1.46 0.00 8.03 0.00 1.18 7.84 6.80

time (sec)

N/A 0.567 0.352 1.441 0.000 1.063 0.000 0.231 0.236 12.989

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

266 294 253 375 0 2003 0 334 1989 1661

N.S.

1 1.11 0.95 1.41 0.00 7.53 0.00 1.26 7.48 6.24

time (sec)

N/A 0.760 0.447 1.371 0.000 2.146 0.000 0.195 0.232 12.857

Problem 56

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 45 40 39 44 70 43 40 41

N.S.

1 1.00 0.82 0.73 0.71 0.80 1.27 0.78 0.73 0.75

time (sec)

N/A 0.200 0.056 0.525 0.033 0.083 0.572 0.251 0.299 0.052

Problem 57

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 48 40 39 44 70 43 40 41

N.S.

1 1.00 0.87 0.73 0.71 0.80 1.27 0.78 0.73 0.75

time (sec)

N/A 0.198 0.052 0.518 0.050 0.095 0.315 0.253 0.209 0.047

Problem 58

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 48 40 39 44 70 43 40 41

N.S.

1 1.00 0.87 0.73 0.71 0.80 1.27 0.78 0.73 0.75

time (sec)

N/A 0.206 0.052 0.473 0.034 0.081 0.206 0.259 0.227 0.045

Problem 59

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 47 40 39 42 53 43 38 41

N.S.

1 1.00 0.85 0.73 0.71 0.76 0.96 0.78 0.69 0.75

time (sec)

N/A 0.201 0.051 0.461 0.029 0.076 0.609 0.239 0.232 0.047

Problem 60

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 46 40 39 39 68 43 37 41

N.S.

1 1.00 0.87 0.75 0.74 0.74 1.28 0.81 0.70 0.77

time (sec)

N/A 0.199 0.054 0.362 0.028 0.074 0.126 0.263 0.228 0.046

Problem 61

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

51 51 45 42 39 39 65 43 39 41

N.S.

1 1.00 0.88 0.82 0.76 0.76 1.27 0.84 0.76 0.80

time (sec)

N/A 0.193 0.054 0.129 0.040 0.081 0.187 0.246 0.223 0.051

Problem 62

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

51 51 44 41 39 38 63 41 41 41

N.S.

1 1.00 0.86 0.80 0.76 0.75 1.24 0.80 0.80 0.80

time (sec)

N/A 0.197 0.068 0.139 0.037 0.076 0.204 0.243 0.223 0.047

Problem 63

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

51 51 42 40 40 39 65 42 42 42

N.S.

1 1.00 0.82 0.78 0.78 0.76 1.27 0.82 0.82 0.82

time (sec)

N/A 0.202 0.068 0.122 0.032 0.082 0.261 0.243 0.282 0.052

Problem 64

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 45 40 39 39 70 41 42 41

N.S.

1 1.00 0.85 0.75 0.74 0.74 1.32 0.77 0.79 0.77

time (sec)

N/A 0.196 0.078 0.135 0.033 0.076 0.406 0.221 0.234 0.041

Problem 65

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

113 113 102 94 93 98 162 103 81 93

N.S.

1 1.00 0.90 0.83 0.82 0.87 1.43 0.91 0.72 0.82

time (sec)

N/A 0.263 0.123 1.107 0.030 0.081 0.729 0.243 0.270 0.056

Problem 66

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

113 113 102 94 93 98 162 103 81 93

N.S.

1 1.00 0.90 0.83 0.82 0.87 1.43 0.91 0.72 0.82

time (sec)

N/A 0.255 0.113 1.046 0.033 0.078 0.484 0.231 0.228 0.037

Problem 67

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

113 113 102 94 93 98 162 103 81 93

N.S.

1 1.00 0.90 0.83 0.82 0.87 1.43 0.91 0.72 0.82

time (sec)

N/A 0.264 0.121 1.135 0.034 0.088 0.313 0.264 0.227 0.035

Problem 68

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

113 113 102 94 93 96 121 103 79 93

N.S.

1 1.00 0.90 0.83 0.82 0.85 1.07 0.91 0.70 0.82

time (sec)

N/A 0.267 0.115 1.007 0.027 0.088 0.871 0.261 0.249 0.035

Problem 69

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

111 111 100 94 93 93 160 103 78 93

N.S.

1 1.00 0.90 0.85 0.84 0.84 1.44 0.93 0.70 0.84

time (sec)

N/A 0.260 0.115 1.069 0.037 0.086 0.209 0.243 0.225 0.036

Problem 70

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

109 109 97 102 93 93 156 103 80 93

N.S.

1 1.00 0.89 0.94 0.85 0.85 1.43 0.94 0.73 0.85

time (sec)

N/A 0.256 0.153 0.985 0.030 0.084 0.279 0.261 0.220 0.038

Problem 71

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

109 109 94 101 93 93 153 101 83 94

N.S.

1 1.00 0.86 0.93 0.85 0.85 1.40 0.93 0.76 0.86

time (sec)

N/A 0.252 0.164 1.045 0.034 0.084 0.307 0.252 0.215 0.039

Problem 72

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

109 109 95 97 94 93 151 102 83 94

N.S.

1 1.00 0.87 0.89 0.86 0.85 1.39 0.94 0.76 0.86

time (sec)

N/A 0.253 0.167 1.075 0.032 0.097 0.370 0.231 0.220 0.060

Problem 73

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

109 109 95 93 94 93 153 102 83 94

N.S.

1 1.00 0.87 0.85 0.86 0.85 1.40 0.94 0.76 0.86

time (sec)

N/A 0.254 0.154 1.040 0.027 0.081 0.446 0.261 0.222 0.066

Problem 74

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

182 182 178 192 166 171 294 193 136 169

N.S.

1 1.00 0.98 1.05 0.91 0.94 1.62 1.06 0.75 0.93

time (sec)

N/A 0.339 0.241 1.184 0.034 0.081 1.037 0.217 0.213 10.917

Problem 75

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

182 182 178 192 166 171 294 193 136 169

N.S.

1 1.00 0.98 1.05 0.91 0.94 1.62 1.06 0.75 0.93

time (sec)

N/A 0.340 0.259 1.116 0.034 0.085 0.731 0.248 0.215 0.053

Problem 76

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

182 182 178 192 166 171 294 193 136 169

N.S.

1 1.00 0.98 1.05 0.91 0.94 1.62 1.06 0.75 0.93

time (sec)

N/A 0.334 0.231 1.029 0.035 0.086 0.638 0.240 0.230 0.053

Problem 77

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

182 182 178 192 166 169 216 193 134 169

N.S.

1 1.00 0.98 1.05 0.91 0.93 1.19 1.06 0.74 0.93

time (sec)

N/A 0.334 0.243 1.072 0.039 0.075 0.978 0.249 0.226 0.053

Problem 78

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

180 180 176 191 166 166 291 193 133 169

N.S.

1 1.00 0.98 1.06 0.92 0.92 1.62 1.07 0.74 0.94

time (sec)

N/A 0.323 0.237 1.088 0.034 0.082 0.329 0.239 0.250 0.053

Problem 79

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

176 176 173 192 166 166 284 193 135 169

N.S.

1 1.00 0.98 1.09 0.94 0.94 1.61 1.10 0.77 0.96

time (sec)

N/A 0.324 0.263 1.053 0.028 0.085 0.436 0.240 0.252 0.056

Problem 80

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

178 178 170 191 166 166 280 191 138 170

N.S.

1 1.00 0.96 1.07 0.93 0.93 1.57 1.07 0.78 0.96

time (sec)

N/A 0.324 0.272 1.027 0.036 0.080 0.471 0.227 0.247 0.055

Problem 81

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

178 178 169 181 167 166 275 192 138 170

N.S.

1 1.00 0.95 1.02 0.94 0.93 1.54 1.08 0.78 0.96

time (sec)

N/A 0.329 0.250 0.994 0.037 0.090 0.561 0.262 0.320 0.056

Problem 82

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

174 174 168 174 167 166 270 192 138 170

N.S.

1 1.00 0.97 1.00 0.96 0.95 1.55 1.10 0.79 0.98

time (sec)

N/A 0.322 0.285 1.037 0.034 0.126 0.656 0.236 0.311 10.653

Problem 83

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

178 178 172 167 167 166 275 192 138 170

N.S.

1 1.00 0.97 0.94 0.94 0.93 1.54 1.08 0.78 0.96

time (sec)

N/A 0.329 0.266 0.966 0.033 0.077 0.929 0.257 0.272 0.078

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

347 363 411 381 0 7707 40613 5319 1213 14120

N.S.

1 1.05 1.18 1.10 0.00 22.21 117.04 15.33 3.50 40.69

time (sec)

N/A 0.810 1.656 1.220 0.000 12.948 75.315 0.864 0.251 12.130

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

275 287 333 291 0 5148 17734 4399 975 10204

N.S.

1 1.04 1.21 1.06 0.00 18.72 64.49 16.00 3.55 37.11

time (sec)

N/A 0.589 1.432 1.218 0.000 4.420 18.140 0.787 0.269 11.756

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

221 225 264 218 0 2642 13942 3186 741 6401

N.S.

1 1.02 1.19 0.99 0.00 11.95 63.09 14.42 3.35 28.96

time (sec)

N/A 0.459 0.783 1.228 0.000 0.886 6.900 0.712 0.251 11.924

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

180 182 181 168 0 1577 4488 1404 533 4141

N.S.

1 1.01 1.01 0.93 0.00 8.76 24.93 7.80 2.96 23.01

time (sec)

N/A 0.355 0.539 1.121 0.000 0.411 9.139 0.661 0.244 11.905

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

199 197 214 175 0 2925 305978 2809 377 6367

N.S.

1 0.99 1.08 0.88 0.00 14.70 1537.58 14.12 1.89 31.99

time (sec)

N/A 0.430 0.901 1.019 0.000 0.884 59.492 0.709 0.285 12.635

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

284 0 276 233 0 5453 0 2870 403 10133

N.S.

1 0.00 0.97 0.82 0.00 19.20 0.00 10.11 1.42 35.68

time (sec)

N/A 0.000 1.284 1.528 0.000 1.418 0.000 0.830 0.292 2.143

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

307 0 354 314 0 7971 0 5013 653 13983

N.S.

1 0.00 1.15 1.02 0.00 25.96 0.00 16.33 2.13 45.55

time (sec)

N/A 0.000 1.589 1.303 0.000 4.322 0.000 1.164 0.362 14.524

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

381 0 445 412 0 10514 0 4090 896 17910

N.S.

1 0.00 1.17 1.08 0.00 27.60 0.00 10.73 2.35 47.01

time (sec)

N/A 0.000 2.135 1.184 0.000 6.373 0.000 1.062 0.464 15.335

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

403 404 461 455 0 7251 0 5685 3675 16631

N.S.

1 1.00 1.14 1.13 0.00 17.99 0.00 14.11 9.12 41.27

time (sec)

N/A 0.771 4.690 1.155 0.000 15.666 0.000 1.161 3.930 15.147

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

321 316 366 364 0 4653 0 4544 3001 12408

N.S.

1 0.98 1.14 1.13 0.00 14.50 0.00 14.16 9.35 38.65

time (sec)

N/A 0.592 3.332 1.126 0.000 4.331 0.000 1.121 0.512 16.459

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

276 268 298 295 0 3462 0 3781 1813 9434

N.S.

1 0.97 1.08 1.07 0.00 12.54 0.00 13.70 6.57 34.18

time (sec)

N/A 0.481 2.181 1.262 0.000 2.144 0.000 0.979 0.430 15.446

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

292 281 311 468 0 4884 0 4434 2372 12364

N.S.

1 0.96 1.07 1.60 0.00 16.73 0.00 15.18 8.12 42.34

time (sec)

N/A 0.590 2.131 1.181 0.000 6.118 0.000 1.116 0.464 15.913

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

406 384 399 383 0 7597 0 5405 3153 17623

N.S.

1 0.95 0.98 0.94 0.00 18.71 0.00 13.31 7.77 43.41

time (sec)

N/A 0.725 3.840 1.171 0.000 23.343 0.000 1.150 1.285 16.100

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

521 524 518 485 0 10203 0 6335 3914 21585

N.S.

1 1.01 0.99 0.93 0.00 19.58 0.00 12.16 7.51 41.43

time (sec)

N/A 0.981 5.903 1.236 0.000 51.362 0.000 1.323 2.024 15.768

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

528 533 745 714 0 9631 0 3997 7823 22943

N.S.

1 1.01 1.41 1.35 0.00 18.24 0.00 7.57 14.82 43.45

time (sec)

N/A 1.017 12.897 1.194 0.000 39.634 0.000 1.242 5.128 15.117

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

459 458 519 595 0 7056 0 7586 6753 19073

N.S.

1 1.00 1.13 1.30 0.00 15.37 0.00 16.53 14.71 41.55

time (sec)

N/A 0.855 10.539 1.229 0.000 11.865 0.000 1.955 5.017 13.887

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

414 416 448 500 0 5646 0 3170 5680 16720

N.S.

1 1.00 1.08 1.21 0.00 13.64 0.00 7.66 13.72 40.39

time (sec)

N/A 0.821 11.153 1.142 0.000 7.147 0.000 1.224 4.830 14.031