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Integrals 101 to 200

Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 101

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac 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

94 94 176 177 200 277 0 0 0

N.S.

1 1.00 1.87 1.88 2.13 2.95 0.00 0.00 0.00

time (sec)

N/A 0.076 0.321 1.174 0.332 0.270 0.000 0.000 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

20 20 22 20 228 22 19 22 22

N.S.

1 1.00 1.10 1.00 11.40 1.10 0.95 1.10 1.10

time (sec)

N/A 0.145 9.746 0.776 0.489 0.252 0.464 0.516 23.173

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

20 20 22 20 340 33 20 22 22

N.S.

1 1.00 1.10 1.00 17.00 1.65 1.00 1.10 1.10

time (sec)

N/A 0.153 4.660 0.828 0.887 0.254 0.711 2.962 22.990

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

16 16 18 16 18 18 15 18 18

N.S.

1 1.00 1.12 1.00 1.12 1.12 0.94 1.12 1.12

time (sec)

N/A 0.044 1.293 0.285 0.574 0.256 1.544 0.308 22.993

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 155 833 921 3242 856 0 0 0

N.S.

1 1.00 5.37 5.94 20.92 5.52 0.00 0.00 0.00

time (sec)

N/A 0.266 6.651 1.648 0.675 0.277 0.000 0.000 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

127 127 520 581 1953 599 0 0 0

N.S.

1 1.00 4.09 4.57 15.38 4.72 0.00 0.00 0.00

time (sec)

N/A 0.251 6.548 1.631 0.461 0.270 0.000 0.000 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 268 305 645 384 0 0 0

N.S.

1 1.00 2.76 3.14 6.65 3.96 0.00 0.00 0.00

time (sec)

N/A 0.161 6.528 1.580 0.451 0.262 0.000 0.000 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 82 64 292 97 104 1151 67

N.S.

1 1.00 2.00 1.56 7.12 2.37 2.54 28.07 1.63

time (sec)

N/A 0.034 0.587 1.260 0.361 0.250 0.218 0.552 22.928

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

16 16 18 16 581 18 14 18 18

N.S.

1 1.00 1.12 1.00 36.31 1.12 0.88 1.12 1.12

time (sec)

N/A 0.048 6.458 0.655 0.573 0.243 0.412 0.361 22.934

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

16 16 18 16 813 29 15 18 18

N.S.

1 1.00 1.12 1.00 50.81 1.81 0.94 1.12 1.12

time (sec)

N/A 0.045 2.788 0.651 1.299 0.236 0.643 2.334 22.766

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 24 24 22 24 26

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.18

time (sec)

N/A 0.094 41.082 0.279 1.130 0.242 7.042 0.324 23.005

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

416 416 966 1673 7004 2770 0 0 0

N.S.

1 1.00 2.32 4.02 16.84 6.66 0.00 0.00 0.00

time (sec)

N/A 0.667 8.092 1.494 3.264 0.354 0.000 0.000 0.000

Problem 113

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

308 308 528 1056 3887 1742 0 0 0

N.S.

1 1.00 1.71 3.43 12.62 5.66 0.00 0.00 0.00

time (sec)

N/A 0.479 5.417 1.324 1.369 0.319 0.000 0.000 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 471 546 1938 970 0 0 0

N.S.

1 1.00 2.63 3.05 10.83 5.42 0.00 0.00 0.00

time (sec)

N/A 0.284 7.512 1.200 0.532 0.306 0.000 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 260 246 762 454 0 0 0

N.S.

1 1.00 2.41 2.28 7.06 4.20 0.00 0.00 0.00

time (sec)

N/A 0.143 1.944 0.879 0.353 0.266 0.000 0.000 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 1793 24 20 24 26

N.S.

1 1.00 1.09 1.00 81.50 1.09 0.91 1.09 1.18

time (sec)

N/A 0.105 40.315 0.519 2.819 0.251 1.034 4.946 24.045

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 22 2289 35 22 0 26

N.S.

1 1.00 1.09 1.00 104.05 1.59 1.00 0.00 1.18

time (sec)

N/A 0.098 45.766 0.500 9.880 0.259 3.860 0.000 24.381

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

406 406 1445 476 547 341 0 2468 0

N.S.

1 1.00 3.56 1.17 1.35 0.84 0.00 6.08 0.00

time (sec)

N/A 0.880 12.760 1.435 0.375 0.272 0.000 0.966 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

353 353 751 384 499 280 0 1540 0

N.S.

1 1.00 2.13 1.09 1.41 0.79 0.00 4.36 0.00

time (sec)

N/A 0.681 1.747 0.720 0.376 0.269 0.000 0.812 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

304 304 251 296 424 235 0 844 0

N.S.

1 1.00 0.83 0.97 1.39 0.77 0.00 2.78 0.00

time (sec)

N/A 0.548 0.242 0.700 0.348 0.272 0.000 0.586 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

304 304 251 296 424 235 0 844 0

N.S.

1 1.00 0.83 0.97 1.39 0.77 0.00 2.78 0.00

time (sec)

N/A 0.542 0.049 0.494 0.386 0.262 0.000 0.610 0.000

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

353 353 751 384 499 280 0 1540 0

N.S.

1 1.00 2.13 1.09 1.41 0.79 0.00 4.36 0.00

time (sec)

N/A 0.644 1.346 0.484 0.368 0.265 0.000 0.825 0.000

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

406 406 1445 476 547 341 0 2468 0

N.S.

1 1.00 3.56 1.17 1.35 0.84 0.00 6.08 0.00

time (sec)

N/A 0.767 6.015 1.187 0.395 0.295 0.000 0.975 0.000

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

228 228 140 251 285 347 0 1379 0

N.S.

1 1.00 0.61 1.10 1.25 1.52 0.00 6.05 0.00

time (sec)

N/A 0.477 1.384 3.809 0.339 0.265 0.000 1.049 0.000

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 200 140 206 264 249 0 857 0

N.S.

1 1.00 0.70 1.03 1.32 1.24 0.00 4.28 0.00

time (sec)

N/A 0.415 0.993 0.691 0.332 0.274 0.000 0.842 0.000

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 174 120 159 219 175 0 460 0

N.S.

1 1.00 0.69 0.91 1.26 1.01 0.00 2.64 0.00

time (sec)

N/A 0.349 0.868 0.697 0.335 0.260 0.000 0.553 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

174 174 120 159 219 175 0 460 0

N.S.

1 1.00 0.69 0.91 1.26 1.01 0.00 2.64 0.00

time (sec)

N/A 0.353 0.019 0.474 0.320 0.261 0.000 0.569 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

200 200 140 206 264 249 0 857 0

N.S.

1 1.00 0.70 1.03 1.32 1.24 0.00 4.28 0.00

time (sec)

N/A 0.427 0.047 0.570 0.336 0.274 0.000 0.791 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

228 228 140 251 285 347 0 1379 0

N.S.

1 1.00 0.61 1.10 1.25 1.52 0.00 6.05 0.00

time (sec)

N/A 0.479 0.141 3.529 0.340 0.281 0.000 1.068 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

615 615 2177 719 826 521 0 3706 0

N.S.

1 1.00 3.54 1.17 1.34 0.85 0.00 6.03 0.00

time (sec)

N/A 1.568 17.080 12.006 0.400 0.310 0.000 1.741 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

534 534 1126 580 760 427 0 2314 0

N.S.

1 1.00 2.11 1.09 1.42 0.80 0.00 4.33 0.00

time (sec)

N/A 1.167 3.535 0.806 0.371 0.296 0.000 1.229 0.000

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

459 459 372 447 680 356 0 1270 0

N.S.

1 1.00 0.81 0.97 1.48 0.78 0.00 2.77 0.00

time (sec)

N/A 0.842 0.353 0.846 0.379 0.319 0.000 0.821 0.000

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

459 459 372 447 680 356 0 1270 0

N.S.

1 1.00 0.81 0.97 1.48 0.78 0.00 2.77 0.00

time (sec)

N/A 0.828 0.275 0.484 0.386 0.274 0.000 0.837 0.000

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

534 534 1126 580 760 427 0 2314 0

N.S.

1 1.00 2.11 1.09 1.42 0.80 0.00 4.33 0.00

time (sec)

N/A 0.979 2.460 0.534 0.378 0.300 0.000 1.233 0.000

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

615 615 2177 719 826 521 0 3706 0

N.S.

1 1.00 3.54 1.17 1.34 0.85 0.00 6.03 0.00

time (sec)

N/A 1.160 6.019 11.522 0.385 0.292 0.000 1.708 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

273 273 245 0 0 188 0 0 0

N.S.

1 1.00 0.90 0.00 0.00 0.69 0.00 0.00 0.00

time (sec)

N/A 0.347 0.278 0.000 0.000 0.098 0.000 0.000 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

260 260 158 187 967 378 935 361 576

N.S.

1 1.00 0.61 0.72 3.72 1.45 3.60 1.39 2.22

time (sec)

N/A 0.273 1.806 2.129 0.272 0.267 0.875 0.361 1.533

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

196 196 135 148 549 238 602 241 366

N.S.

1 1.00 0.69 0.76 2.80 1.21 3.07 1.23 1.87

time (sec)

N/A 0.194 0.895 1.588 0.249 0.264 0.627 0.326 25.016

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 134 89 109 263 130 320 145 202

N.S.

1 1.00 0.66 0.81 1.96 0.97 2.39 1.08 1.51

time (sec)

N/A 0.107 0.467 1.359 0.239 0.250 0.432 0.333 23.746

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 72 75 68 92 58 138 75 94

N.S.

1 1.00 1.04 0.94 1.28 0.81 1.92 1.04 1.31

time (sec)

N/A 0.050 0.144 1.003 0.226 0.239 0.318 0.323 0.388

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 110 178 281 124 0 6046 0

N.S.

1 1.00 0.85 1.38 2.18 0.96 0.00 46.87 0.00

time (sec)

N/A 0.253 0.246 0.969 0.307 0.242 0.000 0.537 0.000

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 151 256 308 183 0 63510 0

N.S.

1 1.00 0.84 1.43 1.72 1.02 0.00 354.80 0.00

time (sec)

N/A 0.323 1.715 1.325 0.361 0.256 0.000 2.633 0.000

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

231 231 197 329 343 309 0 111694 0

N.S.

1 1.00 0.85 1.42 1.48 1.34 0.00 483.52 0.00

time (sec)

N/A 0.395 4.011 1.694 0.461 0.270 0.000 3.423 0.000

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

287 287 316 404 393 455 0 157526 0

N.S.

1 1.00 1.10 1.41 1.37 1.59 0.00 548.87 0.00

time (sec)

N/A 0.488 2.303 2.200 0.645 0.283 0.000 4.641 0.000

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

419 419 409 0 0 280 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 0.67 0.00 0.00 0.00

time (sec)

N/A 0.519 0.956 0.000 0.000 0.104 0.000 0.000 0.000

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

330 330 563 253 1339 527 1098 531 816

N.S.

1 1.00 1.71 0.77 4.06 1.60 3.33 1.61 2.47

time (sec)

N/A 0.461 3.710 3.183 0.321 0.269 1.155 0.390 28.902

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

259 259 195 205 766 342 690 351 516

N.S.

1 1.00 0.75 0.79 2.96 1.32 2.66 1.36 1.99

time (sec)

N/A 0.350 2.246 2.440 0.274 0.259 0.827 0.344 2.954

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

184 184 252 144 375 193 382 209 295

N.S.

1 1.00 1.37 0.78 2.04 1.05 2.08 1.14 1.60

time (sec)

N/A 0.231 0.915 2.375 0.246 0.247 0.573 0.347 0.941

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 109 110 91 139 91 163 106 119

N.S.

1 1.00 1.01 0.83 1.28 0.83 1.50 0.97 1.09

time (sec)

N/A 0.127 0.355 1.817 0.232 0.248 0.401 0.327 0.498

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 185 154 257 413 182 0 44961 0

N.S.

1 1.00 0.83 1.39 2.23 0.98 0.00 243.03 0.00

time (sec)

N/A 0.388 0.412 1.282 0.361 0.245 0.000 1.724 0.000

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

257 257 212 372 446 264 0 1022022 0

N.S.

1 1.00 0.82 1.45 1.74 1.03 0.00 3976.74 0.00

time (sec)

N/A 0.471 2.005 1.612 0.435 0.256 0.000 49.034 0.000

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

338 338 283 478 481 438 0 1708998 0

N.S.

1 1.00 0.84 1.41 1.42 1.30 0.00 5056.21 0.00

time (sec)

N/A 0.583 2.962 2.207 0.583 0.296 0.000 98.985 0.000

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

413 413 451 588 531 640 0 2478918 0

N.S.

1 1.00 1.09 1.42 1.29 1.55 0.00 6002.22 0.00

time (sec)

N/A 0.699 2.488 2.901 0.830 0.309 0.000 198.186 0.000

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

285 285 255 0 0 190 0 0 0

N.S.

1 1.00 0.89 0.00 0.00 0.67 0.00 0.00 0.00

time (sec)

N/A 0.395 2.274 0.000 0.000 0.092 0.000 0.000 0.000

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

233 233 153 185 1033 546 1334 359 576

N.S.

1 1.00 0.66 0.79 4.43 2.34 5.73 1.54 2.47

time (sec)

N/A 0.360 1.374 3.443 0.298 0.270 1.522 0.422 26.370

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 181 132 148 602 349 857 241 366

N.S.

1 1.00 0.73 0.82 3.33 1.93 4.73 1.33 2.02

time (sec)

N/A 0.267 2.449 2.541 0.262 0.253 1.126 0.381 1.547

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 91 111 303 194 461 145 202

N.S.

1 1.00 0.71 0.86 2.35 1.50 3.57 1.12 1.57

time (sec)

N/A 0.174 0.545 2.213 0.260 0.265 0.812 0.349 1.023

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

77 77 63 69 119 87 201 75 84

N.S.

1 1.00 0.82 0.90 1.55 1.13 2.61 0.97 1.09

time (sec)

N/A 0.092 0.509 1.674 0.235 0.252 0.551 0.321 0.901

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

129 129 110 178 281 126 0 6046 0

N.S.

1 1.00 0.85 1.38 2.18 0.98 0.00 46.87 0.00

time (sec)

N/A 0.309 0.296 1.548 0.331 0.249 0.000 0.575 0.000

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 189 256 308 198 0 63798 0

N.S.

1 1.00 1.06 1.43 1.72 1.11 0.00 356.41 0.00

time (sec)

N/A 0.350 1.001 1.960 0.369 0.255 0.000 3.428 0.000

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

235 235 239 329 343 348 0 111694 0

N.S.

1 1.00 1.02 1.40 1.46 1.48 0.00 475.29 0.00

time (sec)

N/A 0.420 1.109 2.724 0.459 0.266 0.000 3.469 0.000

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

287 287 554 404 393 524 0 157526 0

N.S.

1 1.00 1.93 1.41 1.37 1.83 0.00 548.87 0.00

time (sec)

N/A 0.498 5.301 3.589 0.670 0.290 0.000 4.836 0.000

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 24 24 22 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.09

time (sec)

N/A 0.206 12.321 0.336 0.767 0.247 24.325 0.315 25.145

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

307 307 2918 1335 1654 1453 0 0 0

N.S.

1 1.00 9.50 4.35 5.39 4.73 0.00 0.00 0.00

time (sec)

N/A 0.400 6.448 3.237 0.546 0.353 0.000 0.000 0.000

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

246 246 1956 908 979 984 0 0 0

N.S.

1 1.00 7.95 3.69 3.98 4.00 0.00 0.00 0.00

time (sec)

N/A 0.340 6.407 2.372 0.422 0.327 0.000 0.000 0.000

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 181 564 544 529 594 0 0 0

N.S.

1 1.00 3.12 3.01 2.92 3.28 0.00 0.00 0.00

time (sec)

N/A 0.267 3.184 1.872 0.358 0.292 0.000 0.000 0.000

Problem 167

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

114 114 139 249 223 292 0 0 0

N.S.

1 1.00 1.22 2.18 1.96 2.56 0.00 0.00 0.00

time (sec)

N/A 0.150 0.795 1.680 0.297 0.274 0.000 0.000 0.000

Problem 168

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 231 24 20 24 24

N.S.

1 1.00 1.09 1.00 10.50 1.09 0.91 1.09 1.09

time (sec)

N/A 0.168 0.893 0.871 0.538 0.240 0.962 0.330 26.137

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 343 35 22 24 24

N.S.

1 1.00 1.09 1.00 15.59 1.59 1.00 1.09 1.09

time (sec)

N/A 0.194 2.878 1.000 0.884 0.250 1.261 2.356 26.525

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 24 24 22 24 24

N.S.

1 1.00 1.09 1.00 1.09 1.09 1.00 1.09 1.09

time (sec)

N/A 0.343 13.473 0.286 1.180 0.247 22.089 0.337 25.346

Problem 171

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

299 299 798 1056 17589 1233 0 0 0

N.S.

1 1.00 2.67 3.53 58.83 4.12 0.00 0.00 0.00

time (sec)

N/A 0.367 1.935 4.395 4.509 0.336 0.000 0.000 0.000

Problem 172

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

216 216 539 649 10994 797 0 0 0

N.S.

1 1.00 2.50 3.00 50.90 3.69 0.00 0.00 0.00

time (sec)

N/A 0.266 1.487 2.565 1.309 0.317 0.000 0.000 0.000

Problem 173

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 139 310 332 3199 448 0 0 0

N.S.

1 1.00 2.23 2.39 23.01 3.22 0.00 0.00 0.00

time (sec)

N/A 0.161 4.431 1.780 1.141 0.278 0.000 0.000 0.000

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C B A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 58 104 124 2110 95 0 1759 162

N.S.

1 1.00 1.79 2.14 36.38 1.64 0.00 30.33 2.79

time (sec)

N/A 0.071 1.089 1.309 0.301 0.261 0.000 0.862 26.264

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 1438 24 20 24 24

N.S.

1 1.00 1.09 1.00 65.36 1.09 0.91 1.09 1.09

time (sec)

N/A 0.209 3.793 0.409 0.658 0.264 0.629 1.332 26.129

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

22 22 24 22 1678 35 22 24 24

N.S.

1 1.00 1.09 1.00 76.27 1.59 1.00 1.09 1.09

time (sec)

N/A 0.275 4.046 0.436 1.431 0.249 0.960 6.955 25.787

Problem 177

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

16 16 18 16 18 18 15 18 18

N.S.

1 1.00 1.12 1.00 1.12 1.12 0.94 1.12 1.12

time (sec)

N/A 0.041 14.811 0.299 0.764 0.235 2.200 0.343 25.137

Problem 178

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

302 302 1632 1877 7158 1751 0 0 0

N.S.

1 1.00 5.40 6.22 23.70 5.80 0.00 0.00 0.00

time (sec)

N/A 0.565 7.087 1.376 3.676 0.299 0.000 0.000 0.000

Problem 179

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

256 256 1032 1203 3958 1139 0 0 0

N.S.

1 1.00 4.03 4.70 15.46 4.45 0.00 0.00 0.00

time (sec)

N/A 0.415 6.996 1.334 1.224 0.274 0.000 0.000 0.000

Problem 180

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 168 548 644 1966 657 0 0 0

N.S.

1 1.00 3.26 3.83 11.70 3.91 0.00 0.00 0.00

time (sec)

N/A 0.261 6.834 1.184 0.542 0.264 0.000 0.000 0.000

Problem 181

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

109 109 240 281 830 339 0 0 0

N.S.

1 1.00 2.20 2.58 7.61 3.11 0.00 0.00 0.00

time (sec)

N/A 0.139 6.253 0.836 0.384 0.262 0.000 0.000 0.000

Problem 182

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

16 16 18 16 1636 18 14 18 18

N.S.

1 1.00 1.12 1.00 102.25 1.12 0.88 1.12 1.12

time (sec)

N/A 0.049 9.055 0.464 2.644 0.249 0.441 0.390 24.340

Problem 183

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

16 16 18 16 2124 29 15 18 18

N.S.

1 1.00 1.12 1.00 132.75 1.81 0.94 1.12 1.12

time (sec)

N/A 0.044 11.518 0.469 10.314 0.245 0.695 2.389 24.609

Problem 184

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

407 407 1332 470 551 376 0 2435 0

N.S.

1 1.00 3.27 1.15 1.35 0.92 0.00 5.98 0.00

time (sec)

N/A 0.905 8.890 3.804 0.357 0.284 0.000 1.093 0.000

Problem 185

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

351 351 693 376 503 294 0 1515 0

N.S.

1 1.00 1.97 1.07 1.43 0.84 0.00 4.32 0.00

time (sec)

N/A 0.695 1.515 0.722 0.335 0.276 0.000 0.824 0.000

Problem 186

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

299 299 252 286 429 233 0 826 0

N.S.

1 1.00 0.84 0.96 1.43 0.78 0.00 2.76 0.00

time (sec)

N/A 0.557 0.385 0.730 0.344 0.253 0.000 0.575 0.000

Problem 187

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

299 299 252 286 429 233 0 826 0

N.S.

1 1.00 0.84 0.96 1.43 0.78 0.00 2.76 0.00

time (sec)

N/A 0.532 0.086 0.505 0.347 0.262 0.000 0.601 0.000

Problem 188

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

351 351 693 376 503 294 0 1515 0

N.S.

1 1.00 1.97 1.07 1.43 0.84 0.00 4.32 0.00

time (sec)

N/A 0.654 1.044 0.553 0.366 0.272 0.000 0.828 0.000

Problem 189

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

407 407 1332 470 551 376 0 2435 0

N.S.

1 1.00 3.27 1.15 1.35 0.92 0.00 5.98 0.00

time (sec)

N/A 0.746 6.021 3.579 0.378 0.275 0.000 1.145 0.000

Problem 190

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

615 615 2130 716 826 548 0 3716 0

N.S.

1 1.00 3.46 1.16 1.34 0.89 0.00 6.04 0.00

time (sec)

N/A 1.214 16.707 11.953 0.405 0.318 0.000 1.711 0.000

Problem 191

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

534 534 1088 583 760 446 0 2319 0

N.S.

1 1.00 2.04 1.09 1.42 0.84 0.00 4.34 0.00

time (sec)

N/A 1.158 2.760 0.885 0.378 0.285 0.000 1.210 0.000

Problem 192

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

459 459 374 444 680 365 0 1270 0

N.S.

1 1.00 0.81 0.97 1.48 0.80 0.00 2.77 0.00

time (sec)

N/A 0.847 0.417 0.847 0.351 0.281 0.000 0.796 0.000

Problem 193

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

459 459 374 444 680 365 0 1270 0

N.S.

1 1.00 0.81 0.97 1.48 0.80 0.00 2.77 0.00

time (sec)

N/A 0.818 0.208 0.505 0.351 0.273 0.000 0.804 0.000

Problem 194

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

534 534 1088 583 760 446 0 2319 0

N.S.

1 1.00 2.04 1.09 1.42 0.84 0.00 4.34 0.00

time (sec)

N/A 1.005 1.888 0.519 0.375 0.283 0.000 1.236 0.000

Problem 195

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

615 615 2130 716 826 548 0 3716 0

N.S.

1 1.00 3.46 1.16 1.34 0.89 0.00 6.04 0.00

time (sec)

N/A 1.218 6.016 11.655 0.386 0.316 0.000 1.738 0.000

Problem 196

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

407 407 257 477 561 445 0 2434 0

N.S.

1 1.00 0.63 1.17 1.38 1.09 0.00 5.98 0.00

time (sec)

N/A 1.112 3.418 35.515 0.361 0.298 0.000 2.644 0.000

Problem 197

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

351 351 259 383 511 326 0 1514 0

N.S.

1 1.00 0.74 1.09 1.46 0.93 0.00 4.31 0.00

time (sec)

N/A 0.787 2.787 0.811 0.343 0.276 0.000 1.787 0.000

Problem 198

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

299 299 256 293 439 242 0 826 0

N.S.

1 1.00 0.86 0.98 1.47 0.81 0.00 2.76 0.00

time (sec)

N/A 0.559 1.742 0.832 0.332 0.265 0.000 1.161 0.000

Problem 199

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

299 299 256 293 439 242 0 826 0

N.S.

1 1.00 0.86 0.98 1.47 0.81 0.00 2.76 0.00

time (sec)

N/A 0.523 0.179 0.534 0.347 0.269 0.000 1.168 0.000

Problem 200

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

351 351 259 383 511 326 0 1514 0

N.S.

1 1.00 0.74 1.09 1.46 0.93 0.00 4.31 0.00

time (sec)

N/A 0.643 0.395 0.578 0.349 0.272 0.000 1.790 0.000

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