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 Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 124 87 120 184 113 151 0 0

N.S.

1 1.00 0.70 0.97 1.48 0.91 1.22 0.00 0.00

time (sec)

N/A 0.076 0.073 0.064 0.197 0.286 0.691 0.000 0.000

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 88 109 166 109 138 0 0

N.S.

1 1.00 0.73 0.91 1.38 0.91 1.15 0.00 0.00

time (sec)

N/A 0.074 0.041 0.033 0.198 0.281 0.599 0.000 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

102 102 78 101 145 103 126 0 0

N.S.

1 1.00 0.76 0.99 1.42 1.01 1.24 0.00 0.00

time (sec)

N/A 0.069 0.063 0.045 0.200 0.286 0.369 0.000 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 87 77 85 127 98 117 0 0

N.S.

1 1.00 0.89 0.98 1.46 1.13 1.34 0.00 0.00

time (sec)

N/A 0.030 0.040 0.077 0.205 0.268 0.297 0.000 0.000

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 86 73 97 83 90 0 0

N.S.

1 1.00 1.15 0.97 1.29 1.11 1.20 0.00 0.00

time (sec)

N/A 0.045 0.032 0.015 0.187 0.274 0.166 0.000 0.000

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 113 159 0 0 0 0 0

N.S.

1 1.00 1.02 1.43 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.130 0.041 0.154 0.000 0.000 0.000 0.000 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 74 67 64 156 0 0 0

N.S.

1 1.00 1.12 1.02 0.97 2.36 0.00 0.00 0.00

time (sec)

N/A 0.061 0.023 0.018 0.199 0.292 0.000 0.000 0.000

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

128 128 111 151 0 0 0 0 0

N.S.

1 1.00 0.87 1.18 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.123 0.038 0.119 0.000 0.000 0.000 0.000 0.000

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 93 83 91 169 0 0 0

N.S.

1 1.00 1.16 1.04 1.14 2.11 0.00 0.00 0.00

time (sec)

N/A 0.059 0.026 0.023 0.198 0.285 0.000 0.000 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 181 119 163 319 165 230 0 0

N.S.

1 1.00 0.66 0.90 1.76 0.91 1.27 0.00 0.00

time (sec)

N/A 0.139 0.074 0.234 0.195 0.262 1.151 0.000 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

180 180 115 152 292 161 218 0 0

N.S.

1 1.00 0.64 0.84 1.62 0.89 1.21 0.00 0.00

time (sec)

N/A 0.113 0.063 0.236 0.200 0.266 0.996 0.000 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 157 111 144 261 153 202 0 0

N.S.

1 1.00 0.71 0.92 1.66 0.97 1.29 0.00 0.00

time (sec)

N/A 0.115 0.062 0.184 0.200 0.263 0.649 0.000 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 104 116 234 149 190 0 0

N.S.

1 1.00 0.87 0.97 1.95 1.24 1.58 0.00 0.00

time (sec)

N/A 0.045 0.094 0.217 0.187 0.276 0.530 0.000 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

128 128 95 116 194 133 165 0 0

N.S.

1 1.00 0.74 0.91 1.52 1.04 1.29 0.00 0.00

time (sec)

N/A 0.075 0.069 0.214 0.193 0.261 0.321 0.000 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

172 172 173 222 0 0 0 0 0

N.S.

1 1.00 1.01 1.29 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.170 0.132 0.216 0.000 0.000 0.000 0.000 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 124 112 143 228 0 0 0

N.S.

1 1.00 1.03 0.93 1.19 1.90 0.00 0.00 0.00

time (sec)

N/A 0.100 0.087 0.197 0.187 0.287 0.000 0.000 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 151 240 0 0 0 0 0

N.S.

1 1.00 0.81 1.28 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.173 0.164 0.242 0.000 0.000 0.000 0.000 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 126 133 112 137 243 0 0 0

N.S.

1 1.00 1.06 0.89 1.09 1.93 0.00 0.00 0.00

time (sec)

N/A 0.103 0.086 0.228 0.187 0.278 0.000 0.000 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

226 226 143 202 465 201 289 0 0

N.S.

1 1.00 0.63 0.89 2.06 0.89 1.28 0.00 0.00

time (sec)

N/A 0.192 0.099 0.207 0.201 0.287 2.235 0.000 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

199 199 139 191 429 197 280 0 0

N.S.

1 1.00 0.70 0.96 2.16 0.99 1.41 0.00 0.00

time (sec)

N/A 0.114 0.086 0.219 0.200 0.279 1.657 0.000 0.000

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

202 202 135 183 388 189 265 0 0

N.S.

1 1.00 0.67 0.91 1.92 0.94 1.31 0.00 0.00

time (sec)

N/A 0.173 0.098 0.228 0.211 0.295 1.234 0.000 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 145 128 143 352 185 253 0 0

N.S.

1 1.00 0.88 0.99 2.43 1.28 1.74 0.00 0.00

time (sec)

N/A 0.050 0.118 0.168 0.194 0.277 0.877 0.000 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

170 170 119 153 301 169 221 0 0

N.S.

1 1.00 0.70 0.90 1.77 0.99 1.30 0.00 0.00

time (sec)

N/A 0.111 0.082 0.209 0.199 0.280 0.580 0.000 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

221 221 216 271 0 0 0 0 0

N.S.

1 1.00 0.98 1.23 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.232 0.166 0.283 0.000 0.000 0.000 0.000 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

160 160 163 149 231 276 0 0 0

N.S.

1 1.00 1.02 0.93 1.44 1.72 0.00 0.00 0.00

time (sec)

N/A 0.144 0.112 0.162 0.196 0.330 0.000 0.000 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

249 249 244 289 0 0 0 0 0

N.S.

1 1.00 0.98 1.16 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.235 0.154 0.293 0.000 0.000 0.000 0.000 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 174 171 153 208 289 0 0 0

N.S.

1 1.00 0.98 0.88 1.20 1.66 0.00 0.00 0.00

time (sec)

N/A 0.170 0.106 0.159 0.188 0.291 0.000 0.000 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

156 156 170 208 0 0 0 0 0

N.S.

1 1.00 1.09 1.33 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.167 0.175 0.351 0.000 0.000 0.000 0.000 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

135 135 181 146 0 0 0 0 0

N.S.

1 1.00 1.34 1.08 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.145 0.155 0.280 0.000 0.000 0.000 0.000 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 121 170 0 0 0 0 0

N.S.

1 1.00 1.12 1.57 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.102 0.168 0.168 0.000 0.000 0.000 0.000 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

73 73 167 84 0 0 0 0 0

N.S.

1 1.00 2.29 1.15 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.083 0.051 0.230 0.000 0.000 0.000 0.000 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

70 70 135 143 0 0 0 0 0

N.S.

1 1.00 1.93 2.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.048 0.073 0.219 0.000 0.000 0.000 0.000 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

61 61 207 161 0 0 0 0 0

N.S.

1 1.00 3.39 2.64 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.087 0.068 0.212 0.000 0.000 0.000 0.000 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 101 182 176 0 0 0 0 0

N.S.

1 1.00 1.80 1.74 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.108 0.113 0.195 0.000 0.000 0.000 0.000 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 113 240 217 0 0 0 0 0

N.S.

1 1.00 2.12 1.92 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.142 0.182 0.241 0.000 0.000 0.000 0.000 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

156 156 247 215 0 0 0 0 0

N.S.

1 1.00 1.58 1.38 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.184 0.143 0.171 0.000 0.000 0.000 0.000 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

171 171 268 224 0 0 0 0 0

N.S.

1 1.00 1.57 1.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.177 0.220 0.205 0.000 0.000 0.000 0.000 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 145 241 140 0 0 0 0 0

N.S.

1 1.00 1.66 0.97 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.140 0.158 0.261 0.000 0.000 0.000 0.000 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

127 127 221 195 0 0 0 0 0

N.S.

1 1.00 1.74 1.54 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.098 0.170 0.161 0.000 0.000 0.000 0.000 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 74 61 0 65 0 0 0

N.S.

1 1.00 1.35 1.11 0.00 1.18 0.00 0.00 0.00

time (sec)

N/A 0.035 0.099 0.213 0.000 0.280 0.000 0.000 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

124 124 216 195 0 0 0 0 0

N.S.

1 1.00 1.74 1.57 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.075 0.114 0.219 0.000 0.000 0.000 0.000 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

110 110 234 217 0 0 0 0 0

N.S.

1 1.00 2.13 1.97 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.127 0.309 0.210 0.000 0.000 0.000 0.000 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 168 253 227 0 0 0 0 0

N.S.

1 1.00 1.51 1.35 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.142 0.383 0.230 0.000 0.000 0.000 0.000 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

146 146 326 242 0 0 0 0 0

N.S.

1 1.00 2.23 1.66 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.185 0.315 0.229 0.000 0.000 0.000 0.000 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

239 239 311 268 0 0 0 0 0

N.S.

1 1.00 1.30 1.12 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.219 0.425 0.234 0.000 0.000 0.000 0.000 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

186 186 341 247 0 0 0 0 0

N.S.

1 1.00 1.83 1.33 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.170 0.489 0.168 0.000 0.000 0.000 0.000 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 79 108 0 99 0 0 0

N.S.

1 1.00 0.81 1.11 0.00 1.02 0.00 0.00 0.00

time (sec)

N/A 0.060 0.139 0.229 0.000 0.283 0.000 0.000 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 184 340 247 0 0 0 0 0

N.S.

1 1.00 1.85 1.34 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.130 0.193 0.176 0.000 0.000 0.000 0.000 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 56 76 0 98 0 0 0

N.S.

1 1.00 0.70 0.95 0.00 1.22 0.00 0.00 0.00

time (sec)

N/A 0.040 0.116 0.237 0.000 0.274 0.000 0.000 0.000

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

178 178 341 248 0 0 0 0 0

N.S.

1 1.00 1.92 1.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.105 0.149 0.168 0.000 0.000 0.000 0.000 0.000

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 159 289 280 0 0 0 0 0

N.S.

1 1.00 1.82 1.76 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.203 0.448 0.257 0.000 0.000 0.000 0.000 0.000

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

222 222 298 291 0 0 0 0 0

N.S.

1 1.00 1.34 1.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.184 0.775 0.168 0.000 0.000 0.000 0.000 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

232 232 353 344 0 0 0 0 0

N.S.

1 1.00 1.52 1.48 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.264 0.605 0.312 0.000 0.000 0.000 0.000 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

295 295 374 333 0 0 0 0 0

N.S.

1 1.00 1.27 1.13 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.263 1.056 0.237 0.000 0.000 0.000 0.000 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 109 106 164 134 158 221 0 0

N.S.

1 1.00 0.97 1.50 1.23 1.45 2.03 0.00 0.00

time (sec)

N/A 0.094 0.189 0.224 0.204 0.286 0.900 0.000 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 119 79 156 0 0 0 0 0

N.S.

1 1.00 0.66 1.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.132 0.189 0.211 0.000 0.000 0.000 0.000 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

61 61 63 108 73 127 141 0 0

N.S.

1 1.00 1.03 1.77 1.20 2.08 2.31 0.00 0.00

time (sec)

N/A 0.046 0.125 0.214 0.206 0.260 0.344 0.000 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

67 67 69 100 0 0 0 0 0

N.S.

1 1.00 1.03 1.49 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.048 0.157 0.158 0.000 0.000 0.000 0.000 0.000

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 89 131 171 0 0 0 0 0

N.S.

1 1.00 1.47 1.92 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.144 0.192 0.227 0.000 0.000 0.000 0.000 0.000

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

61 61 75 155 0 0 110 0 0

N.S.

1 1.00 1.23 2.54 0.00 0.00 1.80 0.00 0.00

time (sec)

N/A 0.082 0.217 0.169 0.000 0.000 1.610 0.000 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 113 185 231 0 0 0 0 0

N.S.

1 1.00 1.64 2.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.144 2.484 0.184 0.000 0.000 0.000 0.000 0.000

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

62 62 96 501 133 217 0 0 0

N.S.

1 1.00 1.55 8.08 2.15 3.50 0.00 0.00 0.00

time (sec)

N/A 0.063 0.168 0.164 0.217 0.300 0.000 0.000 0.000

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

125 125 100 195 145 199 301 0 0

N.S.

1 1.00 0.80 1.56 1.16 1.59 2.41 0.00 0.00

time (sec)

N/A 0.112 0.198 0.277 0.216 0.263 9.329 0.000 0.000

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

165 165 154 214 0 0 262 0 0

N.S.

1 1.00 0.93 1.30 0.00 0.00 1.59 0.00 0.00

time (sec)

N/A 0.221 0.378 0.211 0.000 0.000 5.488 0.000 0.000

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 72 139 85 167 221 0 0

N.S.

1 1.00 0.94 1.81 1.10 2.17 2.87 0.00 0.00

time (sec)

N/A 0.053 0.146 0.171 0.213 0.273 2.929 0.000 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 111 152 0 0 185 0 0

N.S.

1 1.00 1.00 1.37 0.00 0.00 1.67 0.00 0.00

time (sec)

N/A 0.084 0.246 0.194 0.000 0.000 1.578 0.000 0.000

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 134 180 228 0 0 0 0 0

N.S.

1 1.00 1.34 1.70 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.203 0.366 0.222 0.000 0.000 0.000 0.000 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 122 208 0 0 0 0 0

N.S.

1 1.00 1.13 1.93 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.117 0.370 0.168 0.000 0.000 0.000 0.000 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 155 292 291 0 0 0 0 0

N.S.

1 1.00 1.88 1.88 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.215 1.275 0.221 0.000 0.000 0.000 0.000 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 125 622 0 0 0 0 0

N.S.

1 1.00 1.09 5.41 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.162 0.300 0.164 0.000 0.000 0.000 0.000 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 141 108 226 156 263 379 0 0

N.S.

1 1.00 0.77 1.60 1.11 1.87 2.69 0.00 0.00

time (sec)

N/A 0.121 0.260 0.249 0.202 0.301 90.306 0.000 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

213 213 196 267 0 0 350 0 0

N.S.

1 1.00 0.92 1.25 0.00 0.00 1.64 0.00 0.00

time (sec)

N/A 0.303 0.648 0.234 0.000 0.000 49.520 0.000 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

93 93 80 170 96 225 299 0 0

N.S.

1 1.00 0.86 1.83 1.03 2.42 3.22 0.00 0.00

time (sec)

N/A 0.057 0.154 0.195 0.210 0.265 28.365 0.000 0.000

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

165 165 153 202 0 0 265 0 0

N.S.

1 1.00 0.93 1.22 0.00 0.00 1.61 0.00 0.00

time (sec)

N/A 0.112 0.408 0.216 0.000 0.000 16.114 0.000 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 257 284 0 0 0 0 0

N.S.

1 1.00 1.44 1.59 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.289 0.447 0.154 0.000 0.000 0.000 0.000 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 157 168 261 0 0 0 0 0

N.S.

1 1.00 1.07 1.66 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.158 0.515 0.201 0.000 0.000 0.000 0.000 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

205 205 349 348 0 0 0 0 0

N.S.

1 1.00 1.70 1.70 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.290 1.489 0.167 0.000 0.000 0.000 0.000 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

166 166 179 692 0 0 0 0 0

N.S.

1 1.00 1.08 4.17 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.197 0.480 0.218 0.000 0.000 0.000 0.000 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 32 28 26 28 40 0 0 0

N.S.

1 1.00 0.88 0.81 0.88 1.25 0.00 0.00 0.00

time (sec)

N/A 0.024 0.011 0.181 0.275 0.262 0.000 0.000 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

149 149 108 193 174 161 184 0 0

N.S.

1 1.00 0.72 1.30 1.17 1.08 1.23 0.00 0.00

time (sec)

N/A 0.190 0.241 0.204 0.203 0.285 3.148 0.000 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

126 126 111 165 0 0 185 0 0

N.S.

1 1.00 0.88 1.31 0.00 0.00 1.47 0.00 0.00

time (sec)

N/A 0.166 0.337 0.161 0.000 0.000 2.078 0.000 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 98 82 133 117 132 124 0 0

N.S.

1 1.00 0.84 1.36 1.19 1.35 1.27 0.00 0.00

time (sec)

N/A 0.111 0.196 0.205 0.199 0.299 1.323 0.000 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 69 107 0 0 122 0 0

N.S.

1 1.00 0.92 1.43 0.00 0.00 1.63 0.00 0.00

time (sec)

N/A 0.088 0.244 0.165 0.000 0.000 1.027 0.000 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

42 42 49 72 55 96 60 0 0

N.S.

1 1.00 1.17 1.71 1.31 2.29 1.43 0.00 0.00

time (sec)

N/A 0.049 0.149 0.201 0.197 0.284 0.797 0.000 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 25 25 53 28 0 87 0 0

N.S.

1 1.00 1.00 2.12 1.12 0.00 3.48 0.00 0.00

time (sec)

N/A 0.030 0.014 0.209 0.191 0.000 0.617 0.000 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 56 96 118 0 0 0 0 0

N.S.

1 1.00 1.71 2.11 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.088 0.201 0.214 0.000 0.000 0.000 0.000 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 52 84 101 132 0 0 0

N.S.

1 1.00 1.27 2.05 2.46 3.22 0.00 0.00 0.00

time (sec)

N/A 0.064 0.139 0.158 0.203 0.290 0.000 0.000 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 115 185 216 0 0 0 0 0

N.S.

1 1.00 1.61 1.88 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.154 1.949 0.196 0.000 0.000 0.000 0.000 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 106 373 121 222 0 0 0

N.S.

1 1.00 1.09 3.85 1.25 2.29 0.00 0.00 0.00

time (sec)

N/A 0.133 0.175 0.194 0.202 0.304 0.000 0.000 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

137 137 131 279 0 196 0 0 0

N.S.

1 1.00 0.96 2.04 0.00 1.43 0.00 0.00 0.00

time (sec)

N/A 0.143 0.287 0.196 0.000 0.309 0.000 0.000 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

131 131 147 261 0 0 0 0 0

N.S.

1 1.00 1.12 1.99 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.190 0.453 0.293 0.000 0.000 0.000 0.000 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 87 163 119 165 0 0 0

N.S.

1 1.00 1.01 1.90 1.38 1.92 0.00 0.00 0.00

time (sec)

N/A 0.111 0.242 0.171 0.285 0.292 0.000 0.000 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 78 168 0 0 0 0 0

N.S.

1 1.00 0.98 2.10 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.114 0.390 0.210 0.000 0.000 0.000 0.000 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 45 52 103 0 127 0 0 0

N.S.

1 1.00 1.16 2.29 0.00 2.82 0.00 0.00 0.00

time (sec)

N/A 0.053 0.181 0.157 0.000 0.292 0.000 0.000 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 66 110 58 0 0 0 0

N.S.

1 1.00 1.29 2.16 1.14 0.00 0.00 0.00 0.00

time (sec)

N/A 0.029 0.120 0.234 0.205 0.000 0.000 0.000 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 94 143 155 0 0 0 0 0

N.S.

1 1.00 1.52 1.65 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.170 0.393 0.184 0.000 0.000 0.000 0.000 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

93 93 102 244 119 0 0 0 0

N.S.

1 1.00 1.10 2.62 1.28 0.00 0.00 0.00 0.00

time (sec)

N/A 0.116 0.250 0.226 0.215 0.000 0.000 0.000 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

162 162 269 224 0 0 0 0 0

N.S.

1 1.00 1.66 1.38 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.247 2.927 0.170 0.000 0.000 0.000 0.000 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 153 168 604 0 0 0 0 0

N.S.

1 1.00 1.10 3.95 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.126 0.307 0.171 0.000 0.000 0.000 0.000 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

192 192 202 970 0 0 0 0 0

N.S.

1 1.00 1.05 5.05 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.287 0.596 0.331 0.000 0.000 0.000 0.000 0.000