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 F F(-2) B F(-1)

verified

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

size

191 194 123 130 302 169 0 0 174 0

N.S.

1 1.02 0.64 0.68 1.58 0.88 0.00 0.00 0.91 0.00

time (sec)

N/A 1.071 0.172 0.142 0.037 0.246 0.000 0.000 0.188 0.000

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

143 155 99 99 194 133 0 0 133 0

N.S.

1 1.08 0.69 0.69 1.36 0.93 0.00 0.00 0.93 0.00

time (sec)

N/A 0.474 0.101 0.129 0.039 0.206 0.000 0.000 0.182 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

86 89 71 71 97 83 0 0 89 0

N.S.

1 1.03 0.83 0.83 1.13 0.97 0.00 0.00 1.03 0.00

time (sec)

N/A 0.280 0.057 0.073 0.026 0.303 0.000 0.000 0.181 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

59 58 64 180 0 0 0 0 54 0

N.S.

1 0.98 1.08 3.05 0.00 0.00 0.00 0.00 0.92 0.00

time (sec)

N/A 0.369 0.051 0.661 0.000 0.000 0.000 0.000 0.184 0.000

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

120 118 189 192 0 0 0 0 148 0

N.S.

1 0.98 1.58 1.60 0.00 0.00 0.00 0.00 1.23 0.00

time (sec)

N/A 0.554 1.034 0.218 0.000 0.000 0.000 0.000 0.191 0.000

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

180 174 316 256 0 0 0 0 262 0

N.S.

1 0.97 1.76 1.42 0.00 0.00 0.00 0.00 1.46 0.00

time (sec)

N/A 0.743 0.825 0.301 0.000 0.000 0.000 0.000 0.196 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

314 366 249 356 714 354 0 0 265 0

N.S.

1 1.17 0.79 1.13 2.27 1.13 0.00 0.00 0.84 0.00

time (sec)

N/A 2.852 1.425 0.382 0.061 0.253 0.000 0.000 0.221 0.000

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

231 256 201 264 457 278 0 0 200 0

N.S.

1 1.11 0.87 1.14 1.98 1.20 0.00 0.00 0.87 0.00

time (sec)

N/A 2.171 1.252 0.181 0.042 0.280 0.000 0.000 0.209 0.000

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

136 148 146 171 230 178 0 0 133 0

N.S.

1 1.09 1.07 1.26 1.69 1.31 0.00 0.00 0.98 0.00

time (sec)

N/A 0.865 0.212 0.134 0.039 0.197 0.000 0.000 0.208 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

118 104 119 355 0 0 0 0 85 0

N.S.

1 0.88 1.01 3.01 0.00 0.00 0.00 0.00 0.72 0.00

time (sec)

N/A 0.544 0.088 0.175 0.000 0.000 0.000 0.000 0.194 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

195 185 359 428 0 0 0 0 233 0

N.S.

1 0.95 1.84 2.19 0.00 0.00 0.00 0.00 1.19 0.00

time (sec)

N/A 1.890 5.432 0.221 0.000 0.000 0.000 0.000 0.197 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

302 294 660 558 0 0 0 0 417 0

N.S.

1 0.97 2.19 1.85 0.00 0.00 0.00 0.00 1.38 0.00

time (sec)

N/A 4.372 7.561 0.260 0.000 0.000 0.000 0.000 0.200 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

510 749 427 668 1353 582 0 0 361 0

N.S.

1 1.47 0.84 1.31 2.65 1.14 0.00 0.00 0.71 0.00

time (sec)

N/A 6.508 1.710 0.237 0.100 0.250 0.000 0.000 0.274 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

386 488 347 492 861 455 0 0 271 0

N.S.

1 1.26 0.90 1.27 2.23 1.18 0.00 0.00 0.70 0.00

time (sec)

N/A 3.019 1.368 0.230 0.070 0.188 0.000 0.000 0.256 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

213 257 256 313 437 296 0 0 178 0

N.S.

1 1.21 1.20 1.47 2.05 1.39 0.00 0.00 0.84 0.00

time (sec)

N/A 2.122 0.354 0.199 0.053 0.228 0.000 0.000 0.241 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

178 154 167 590 0 0 0 0 114 0

N.S.

1 0.87 0.94 3.31 0.00 0.00 0.00 0.00 0.64 0.00

time (sec)

N/A 0.988 0.128 0.254 0.000 0.000 0.000 0.000 0.228 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

316 286 708 811 0 0 0 0 312 0

N.S.

1 0.91 2.24 2.57 0.00 0.00 0.00 0.00 0.99 0.00

time (sec)

N/A 3.098 7.518 0.267 0.000 0.000 0.000 0.000 0.229 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 61 45 44 0 0 0 0 64 0

N.S.

1 0.91 0.67 0.66 0.00 0.00 0.00 0.00 0.96 0.00

time (sec)

N/A 0.363 0.327 0.096 0.000 0.000 0.000 0.000 0.215 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

50 48 34 33 0 0 0 0 46 0

N.S.

1 0.96 0.68 0.66 0.00 0.00 0.00 0.00 0.92 0.00

time (sec)

N/A 0.340 0.131 0.070 0.000 0.000 0.000 0.000 0.213 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 33 25 24 0 0 0 0 28 0

N.S.

1 1.14 0.86 0.83 0.00 0.00 0.00 0.00 0.97 0.00

time (sec)

N/A 0.509 0.085 0.047 0.000 0.000 0.000 0.000 0.204 0.000

Problem 21

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 N/A N/A

verified

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

size

20 20 22 20 25 24 22 24 27 22

N.S.

1 1.00 1.10 1.00 1.25 1.20 1.10 1.20 1.35 1.10

time (sec)

N/A 0.305 1.376 0.163 0.106 0.183 1.185 0.128 0.200 3.034

Problem 22

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 N/A N/A

verified

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

size

20 20 22 20 23 36 36 23 36 22

N.S.

1 1.00 1.10 1.00 1.15 1.80 1.80 1.15 1.80 1.10

time (sec)

N/A 0.340 4.534 0.085 0.108 0.171 3.855 0.129 0.222 3.076

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

98 83 257 107 0 0 0 0 64 0

N.S.

1 0.85 2.62 1.09 0.00 0.00 0.00 0.00 0.65 0.00

time (sec)

N/A 0.948 0.446 0.086 0.000 0.000 0.000 0.000 0.233 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

82 73 194 87 0 0 0 0 46 0

N.S.

1 0.89 2.37 1.06 0.00 0.00 0.00 0.00 0.56 0.00

time (sec)

N/A 0.783 0.322 0.075 0.000 0.000 0.000 0.000 0.208 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 57 65 61 0 0 0 0 28 0

N.S.

1 0.98 1.12 1.05 0.00 0.00 0.00 0.00 0.48 0.00

time (sec)

N/A 0.638 0.225 0.053 0.000 0.000 0.000 0.000 0.200 0.000

Problem 26

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 N/A N/A

verified

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

size

20 20 22 20 259 24 26 24 31 22

N.S.

1 1.00 1.10 1.00 12.95 1.20 1.30 1.20 1.55 1.10

time (sec)

N/A 0.526 2.588 0.155 0.248 0.184 2.402 0.127 0.189 3.038

Problem 27

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 N/A N/A

verified

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

size

20 20 22 20 351 36 41 23 42 22

N.S.

1 1.00 1.10 1.00 17.55 1.80 2.05 1.15 2.10 1.10

time (sec)

N/A 0.556 8.119 0.082 0.289 0.168 10.283 0.133 0.192 3.041

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

269 226 183 242 0 0 0 0 80 0

N.S.

1 0.84 0.68 0.90 0.00 0.00 0.00 0.00 0.30 0.00

time (sec)

N/A 0.688 1.415 0.451 0.000 0.000 0.000 0.000 0.259 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

201 172 139 182 0 0 0 0 58 0

N.S.

1 0.86 0.69 0.91 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.538 0.504 0.197 0.000 0.000 0.000 0.000 0.215 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

125 116 93 114 0 0 0 0 36 0

N.S.

1 0.93 0.74 0.91 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 0.445 0.164 0.159 0.000 0.000 0.000 0.000 0.203 0.000

Problem 31

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 N/A N/A

verified

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

size

24 24 26 24 29 39 36 28 40 26

N.S.

1 1.00 1.08 1.00 1.21 1.62 1.50 1.17 1.67 1.08

time (sec)

N/A 0.227 2.536 0.133 0.111 0.167 2.300 0.131 0.204 3.064

Problem 32

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 N/A N/A

verified

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

size

24 24 26 24 27 67 61 27 58 26

N.S.

1 1.00 1.08 1.00 1.12 2.79 2.54 1.12 2.42 1.08

time (sec)

N/A 0.228 20.632 0.160 0.114 0.232 10.519 0.133 0.195 3.085

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

307 247 573 908 0 0 0 0 136 0

N.S.

1 0.80 1.87 2.96 0.00 0.00 0.00 0.00 0.44 0.00

time (sec)

N/A 1.317 2.058 0.369 0.000 0.000 0.000 0.000 0.258 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

240 198 261 591 0 0 0 0 100 0

N.S.

1 0.82 1.09 2.46 0.00 0.00 0.00 0.00 0.42 0.00

time (sec)

N/A 1.451 1.489 0.217 0.000 0.000 0.000 0.000 0.254 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

161 143 132 318 0 0 0 0 64 0

N.S.

1 0.89 0.82 1.98 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 0.785 0.494 0.187 0.000 0.000 0.000 0.000 0.218 0.000

Problem 36

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 N/A N/A

verified

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

size

24 24 26 24 447 71 73 28 74 26

N.S.

1 1.00 1.08 1.00 18.62 2.96 3.04 1.17 3.08 1.08

time (sec)

N/A 0.612 9.369 0.141 0.300 0.200 9.119 0.143 0.219 3.055

Problem 37

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 N/A N/A

verified

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

size

24 24 26 24 644 119 121 27 112 26

N.S.

1 1.00 1.08 1.00 26.83 4.96 5.04 1.12 4.67 1.08

time (sec)

N/A 0.632 23.638 0.149 0.366 0.201 100.070 0.152 0.208 2.978

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

254 306 300 871 0 0 0 0 150 0

N.S.

1 1.20 1.18 3.43 0.00 0.00 0.00 0.00 0.59 0.00

time (sec)

N/A 0.971 1.670 0.374 0.000 0.000 0.000 0.000 0.238 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

179 216 192 546 0 0 0 0 101 0

N.S.

1 1.21 1.07 3.05 0.00 0.00 0.00 0.00 0.56 0.00

time (sec)

N/A 0.659 1.262 0.237 0.000 0.000 0.000 0.000 0.216 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

106 124 110 281 0 0 0 0 51 0

N.S.

1 1.17 1.04 2.65 0.00 0.00 0.00 0.00 0.48 0.00

time (sec)

N/A 0.428 0.352 0.214 0.000 0.000 0.000 0.000 0.203 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 53 53 88 0 0 0 0 38 0

N.S.

1 1.20 1.20 2.00 0.00 0.00 0.00 0.00 0.86 0.00

time (sec)

N/A 0.230 0.034 0.154 0.000 0.000 0.000 0.000 0.211 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 84 73 174 70 0 0 0 80 0

N.S.

1 1.17 1.01 2.42 0.97 0.00 0.00 0.00 1.11 0.00

time (sec)

N/A 0.349 0.026 0.274 0.038 0.000 0.000 0.000 0.215 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

150 179 122 475 157 0 0 0 197 0

N.S.

1 1.19 0.81 3.17 1.05 0.00 0.00 0.00 1.31 0.00

time (sec)

N/A 0.683 0.070 0.284 0.042 0.000 0.000 0.000 0.198 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

225 274 168 2225 0 0 0 0 355 0

N.S.

1 1.22 0.75 9.89 0.00 0.00 0.00 0.00 1.58 0.00

time (sec)

N/A 0.938 0.088 0.322 0.000 0.000 0.000 0.000 0.217 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

301 356 333 1061 0 0 0 0 166 0

N.S.

1 1.18 1.11 3.52 0.00 0.00 0.00 0.00 0.55 0.00

time (sec)

N/A 1.701 2.821 0.273 0.000 0.000 0.000 0.000 0.283 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

186 181 202 533 0 0 0 0 82 0

N.S.

1 0.97 1.09 2.87 0.00 0.00 0.00 0.00 0.44 0.00

time (sec)

N/A 0.805 1.011 0.253 0.000 0.000 0.000 0.000 0.236 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 53 53 147 0 0 0 0 69 0

N.S.

1 1.20 1.20 3.34 0.00 0.00 0.00 0.00 1.57 0.00

time (sec)

N/A 0.244 0.041 0.194 0.000 0.000 0.000 0.000 0.207 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 140 127 560 0 0 0 0 142 0

N.S.

1 0.86 0.78 3.46 0.00 0.00 0.00 0.00 0.88 0.00

time (sec)

N/A 0.666 0.330 0.312 0.000 0.000 0.000 0.000 0.230 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

289 278 288 2373 0 0 0 0 361 0

N.S.

1 0.96 1.00 8.21 0.00 0.00 0.00 0.00 1.25 0.00

time (sec)

N/A 1.912 1.971 0.359 0.000 0.000 0.000 0.000 0.221 0.000

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 54 152 0 0 0 0 13 0

N.S.

1 1.00 0.82 2.30 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.479 0.109 0.300 0.000 0.000 0.000 0.000 0.208 0.000

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 45 51 0 56 0 0 22 48

N.S.

1 1.00 1.41 1.59 0.00 1.75 0.00 0.00 0.69 1.50

time (sec)

N/A 0.330 0.022 0.100 0.000 0.162 0.000 0.000 0.185 3.129

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

278 306 347 885 0 0 0 0 150 0

N.S.

1 1.10 1.25 3.18 0.00 0.00 0.00 0.00 0.54 0.00

time (sec)

N/A 1.358 1.801 0.264 0.000 0.000 0.000 0.000 0.246 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

197 216 235 546 0 0 0 0 101 0

N.S.

1 1.10 1.19 2.77 0.00 0.00 0.00 0.00 0.51 0.00

time (sec)

N/A 0.638 0.899 0.195 0.000 0.000 0.000 0.000 0.213 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

124 124 144 278 0 0 0 0 51 0

N.S.

1 1.00 1.16 2.24 0.00 0.00 0.00 0.00 0.41 0.00

time (sec)

N/A 0.427 0.447 0.163 0.000 0.000 0.000 0.000 0.192 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 53 53 89 0 0 0 0 38 0

N.S.

1 0.95 0.95 1.59 0.00 0.00 0.00 0.00 0.68 0.00

time (sec)

N/A 0.232 0.032 0.137 0.000 0.000 0.000 0.000 0.193 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 84 72 180 70 0 0 0 80 0

N.S.

1 1.00 0.86 2.14 0.83 0.00 0.00 0.00 0.95 0.00

time (sec)

N/A 0.252 0.027 0.218 0.038 0.000 0.000 0.000 0.194 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 179 132 477 157 0 0 0 197 0

N.S.

1 1.10 0.81 2.94 0.97 0.00 0.00 0.00 1.22 0.00

time (sec)

N/A 0.444 0.067 0.250 0.045 0.000 0.000 0.000 0.211 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

237 274 178 2283 0 0 0 0 355 0

N.S.

1 1.16 0.75 9.63 0.00 0.00 0.00 0.00 1.50 0.00

time (sec)

N/A 0.647 0.087 0.269 0.000 0.000 0.000 0.000 0.192 0.000

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

324 356 374 1061 0 0 0 0 166 0

N.S.

1 1.10 1.15 3.27 0.00 0.00 0.00 0.00 0.51 0.00

time (sec)

N/A 1.735 3.204 0.213 0.000 0.000 0.000 0.000 0.255 0.000

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

204 181 235 527 0 0 0 0 82 0

N.S.

1 0.89 1.15 2.58 0.00 0.00 0.00 0.00 0.40 0.00

time (sec)

N/A 1.067 1.069 0.178 0.000 0.000 0.000 0.000 0.213 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 53 53 149 0 0 0 0 69 0

N.S.

1 0.95 0.95 2.66 0.00 0.00 0.00 0.00 1.23 0.00

time (sec)

N/A 0.396 0.038 0.151 0.000 0.000 0.000 0.000 0.200 0.000

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

198 140 126 578 0 0 0 0 142 0

N.S.

1 0.71 0.64 2.92 0.00 0.00 0.00 0.00 0.72 0.00

time (sec)

N/A 0.685 0.307 0.280 0.000 0.000 0.000 0.000 0.206 0.000

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

319 278 289 2435 0 0 0 0 361 0

N.S.

1 0.87 0.91 7.63 0.00 0.00 0.00 0.00 1.13 0.00

time (sec)

N/A 1.675 1.562 0.321 0.000 0.000 0.000 0.000 0.212 0.000

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

405 407 220 794 0 0 0 0 90 0

N.S.

1 1.00 0.54 1.96 0.00 0.00 0.00 0.00 0.22 0.00

time (sec)

N/A 2.460 1.046 0.476 0.000 0.000 0.000 0.000 0.191 0.000

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

387 390 148 536 0 0 0 0 53 0

N.S.

1 1.01 0.38 1.39 0.00 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 4.648 0.403 0.319 0.000 0.000 0.000 0.000 0.206 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

231 182 98 256 0 0 0 0 23 0

N.S.

1 0.79 0.42 1.11 0.00 0.00 0.00 0.00 0.10 0.00

time (sec)

N/A 1.320 0.200 0.240 0.000 0.000 0.000 0.000 0.186 0.000

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 46 46 55 0 0 0 0 27 0

N.S.

1 0.94 0.94 1.12 0.00 0.00 0.00 0.00 0.55 0.00

time (sec)

N/A 0.232 0.022 0.210 0.000 0.000 0.000 0.000 0.187 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

241 143 162 548 0 0 0 0 52 0

N.S.

1 0.59 0.67 2.27 0.00 0.00 0.00 0.00 0.22 0.00

time (sec)

N/A 0.801 0.221 0.383 0.000 0.000 0.000 0.000 0.181 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

401 292 258 955 0 0 0 0 68 0

N.S.

1 0.73 0.64 2.38 0.00 0.00 0.00 0.00 0.17 0.00

time (sec)

N/A 3.118 0.794 0.454 0.000 0.000 0.000 0.000 0.194 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

458 207 195 302 0 0 0 0 94 0

N.S.

1 0.45 0.43 0.66 0.00 0.00 0.00 0.00 0.21 0.00

time (sec)

N/A 0.594 0.917 0.256 0.000 0.000 0.000 0.000 0.265 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD TBD

size

314 156 149 234 0 0 0 0 61 0

N.S.

1 0.50 0.47 0.75 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.520 0.620 0.128 0.000 0.000 0.000 0.000 0.236 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

181 104 106 167 0 0 0 0 27 0

N.S.

1 0.57 0.59 0.92 0.00 0.00 0.00 0.00 0.15 0.00

time (sec)

N/A 0.454 0.426 0.109 0.000 0.000 0.000 0.000 0.209 0.000

Problem 73

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

53 49 55 60 0 68 0 0 54 0

N.S.

1 0.92 1.04 1.13 0.00 1.28 0.00 0.00 1.02 0.00

time (sec)

N/A 0.259 0.283 0.152 0.000 0.225 0.000 0.000 0.194 0.000

Problem 74

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 N/A N/A

verified

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

size

26 26 28 24 26 81 27 26 88 26

N.S.

1 1.00 1.08 0.92 1.00 3.12 1.04 1.00 3.38 1.00

time (sec)

N/A 0.256 8.873 0.196 0.131 0.165 7.304 0.174 0.208 3.011

Problem 75

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 N/A N/A

verified

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

size

26 26 28 24 26 108 27 26 129 26

N.S.

1 1.00 1.08 0.92 1.00 4.15 1.04 1.00 4.96 1.00

time (sec)

N/A 0.246 3.630 0.295 0.133 0.181 38.797 0.183 0.211 3.013

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

454 247 271 628 0 0 0 0 136 0

N.S.

1 0.54 0.60 1.38 0.00 0.00 0.00 0.00 0.30 0.00

time (sec)

N/A 1.030 1.368 0.273 0.000 0.000 0.000 0.000 0.289 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

307 195 170 448 0 0 0 0 89 0

N.S.

1 0.64 0.55 1.46 0.00 0.00 0.00 0.00 0.29 0.00

time (sec)

N/A 1.204 0.798 0.182 0.000 0.000 0.000 0.000 0.242 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

175 146 122 271 0 0 0 0 41 0

N.S.

1 0.83 0.70 1.55 0.00 0.00 0.00 0.00 0.23 0.00

time (sec)

N/A 1.252 0.386 0.159 0.000 0.000 0.000 0.000 0.205 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 51 51 61 0 80 0 0 65 63

N.S.

1 0.96 0.96 1.15 0.00 1.51 0.00 0.00 1.23 1.19

time (sec)

N/A 0.402 0.037 0.098 0.000 0.270 0.000 0.000 0.194 2.907

Problem 80

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 N/A N/A

verified

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

size

26 26 28 24 597 133 29 26 144 26

N.S.

1 1.00 1.08 0.92 22.96 5.12 1.12 1.00 5.54 1.00

time (sec)

N/A 0.693 6.325 0.179 0.790 0.196 50.185 0.188 0.210 3.206

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 28 24 735 178 0 26 216 26

N.S.

1 1.00 1.08 0.92 28.27 6.85 0.00 1.00 8.31 1.00

time (sec)

N/A 0.678 12.707 0.263 1.214 0.207 0.000 0.197 0.227 3.204

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

351 352 154 0 0 0 0 0 51 0

N.S.

1 1.00 0.44 0.00 0.00 0.00 0.00 0.00 0.15 0.00

time (sec)

N/A 2.965 0.226 0.000 0.000 0.000 0.000 0.000 0.402 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

205 180 117 0 0 0 0 0 22 0

N.S.

1 0.88 0.57 0.00 0.00 0.00 0.00 0.00 0.11 0.00

time (sec)

N/A 1.971 0.142 0.000 0.000 0.000 0.000 0.000 0.284 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 48 48 41 0 0 0 0 37 0

N.S.

1 0.94 0.94 0.80 0.00 0.00 0.00 0.00 0.73 0.00

time (sec)

N/A 0.382 0.027 0.101 0.000 0.000 0.000 0.000 0.245 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 26 22 44 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 1.08 0.92 1.83 0.92

time (sec)

N/A 0.601 5.012 0.289 0.407 0.000 4.660 1.644 0.508 2.851

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 26 22 278 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 1.08 0.92 11.58 0.92

time (sec)

N/A 1.090 5.542 0.326 0.432 0.000 90.569 1.621 0.615 2.802

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

302 203 136 0 0 0 0 0 26 0

N.S.

1 0.67 0.45 0.00 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 1.507 0.325 0.000 0.000 0.000 0.000 0.000 0.392 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 48 48 41 0 0 0 0 41 0

N.S.

1 0.94 0.94 0.80 0.00 0.00 0.00 0.00 0.80 0.00

time (sec)

N/A 0.228 0.027 0.098 0.000 0.000 0.000 0.000 0.263 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 26 22 48 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 1.08 0.92 2.00 0.92

time (sec)

N/A 0.365 4.784 0.237 0.351 0.000 43.181 3.017 0.571 2.787

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 0 22 296 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 0.00 0.92 12.33 0.92

time (sec)

N/A 1.398 5.597 0.303 0.364 0.000 0.000 3.012 0.760 2.825

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

330 256 148 0 0 0 0 0 28 0

N.S.

1 0.78 0.45 0.00 0.00 0.00 0.00 0.00 0.08 0.00

time (sec)

N/A 3.659 0.413 0.000 0.000 0.000 0.000 0.000 0.432 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 48 48 41 0 0 0 0 43 0

N.S.

1 0.94 0.94 0.80 0.00 0.00 0.00 0.00 0.84 0.00

time (sec)

N/A 0.259 0.026 0.100 0.000 0.000 0.000 0.000 0.285 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 0 22 50 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 0.00 0.92 2.08 0.92

time (sec)

N/A 0.363 4.384 0.227 0.377 0.000 0.000 3.049 0.626 2.873

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 0 22 304 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 0.00 0.92 12.67 0.92

time (sec)

N/A 1.541 3.828 0.295 0.374 0.000 0.000 3.040 0.779 2.807

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

N/A Yes No N/A TBD TBD TBD TBD TBD TBD

size

368 369 165 0 0 0 0 0 50 0

N.S.

1 1.00 0.45 0.00 0.00 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 3.419 0.325 0.000 0.000 0.000 0.000 0.000 0.438 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

211 186 121 0 0 0 0 0 20 0

N.S.

1 0.88 0.57 0.00 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 2.768 0.203 0.000 0.000 0.000 0.000 0.000 0.279 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

52 50 50 44 0 0 0 0 31 0

N.S.

1 0.96 0.96 0.85 0.00 0.00 0.00 0.00 0.60 0.00

time (sec)

N/A 0.221 0.041 0.131 0.000 0.000 0.000 0.000 0.224 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 20 22 37 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 0.83 0.92 1.54 0.92

time (sec)

N/A 0.368 6.514 0.519 0.407 0.000 4.611 1.011 0.441 2.748

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 26 20 22 0 20 22 275 22

N.S.

1 1.00 1.08 0.83 0.92 0.00 0.83 0.92 11.46 0.92

time (sec)

N/A 0.959 3.186 0.470 0.454 0.000 91.914 1.024 0.643 2.666

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

316 217 144 0 0 0 0 0 26 0

N.S.

1 0.69 0.46 0.00 0.00 0.00 0.00 0.00 0.08 0.00

time (sec)

N/A 1.835 0.421 0.000 0.000 0.000 0.000 0.000 0.319 0.000