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Integrals 101 to 178

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

479 479 1089 1934 0 0 0 0 0

N.S.

1 1.00 2.27 4.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.644 0.384 3.107 0.000 0.000 0.000 0.000 0.000

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

572 572 1241 332 0 0 0 0 0

N.S.

1 1.00 2.17 0.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.783 1.806 43.161 0.000 0.000 0.000 0.000 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

628 628 1480 643 0 0 0 0 0

N.S.

1 1.00 2.36 1.02 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.980 4.220 5.692 0.000 0.000 0.000 0.000 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

593 590 1442 524 0 0 0 0 0

N.S.

1 0.99 2.43 0.88 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.882 1.835 4.549 0.000 0.000 0.000 0.000 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

134 131 286 265 0 385 0 0 0

N.S.

1 0.98 2.13 1.98 0.00 2.87 0.00 0.00 0.00

time (sec)

N/A 0.078 0.553 8.608 0.000 0.322 0.000 0.000 0.000

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

566 566 1408 2071 0 0 0 0 0

N.S.

1 1.00 2.49 3.66 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.801 1.275 4.158 0.000 0.000 0.000 0.000 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

803 803 1634 965 0 0 0 0 0

N.S.

1 1.00 2.03 1.20 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.802 6.045 44.659 0.000 0.000 0.000 0.000 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

765 765 1482 844 0 0 0 0 0

N.S.

1 1.00 1.94 1.10 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.921 1.705 39.557 0.000 0.000 0.000 0.000 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

762 759 1477 832 0 0 0 0 0

N.S.

1 1.00 1.94 1.09 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.667 2.059 33.948 0.000 0.000 0.000 0.000 0.000

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

806 806 1525 925 0 0 0 0 0

N.S.

1 1.00 1.89 1.15 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.737 1.863 35.461 0.000 0.000 0.000 0.000 0.000

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

727 727 2053 1269 0 0 0 0 0

N.S.

1 1.00 2.82 1.75 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.057 7.390 4.667 0.000 0.000 0.000 0.000 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 157 390 945 0 1015 0 0 0

N.S.

1 1.00 2.48 6.02 0.00 6.46 0.00 0.00 0.00

time (sec)

N/A 0.125 0.761 6.541 0.000 0.496 0.000 0.000 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 193 385 894 0 890 0 0 0

N.S.

1 1.00 1.99 4.63 0.00 4.61 0.00 0.00 0.00

time (sec)

N/A 0.146 0.643 7.185 0.000 0.501 0.000 0.000 0.000

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

704 704 2114 3479 0 0 0 0 0

N.S.

1 1.00 3.00 4.94 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.929 6.064 3.307 0.000 0.000 0.000 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

1144 1144 2067 1804 0 0 0 0 0

N.S.

1 1.00 1.81 1.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.201 6.070 47.847 0.000 0.000 0.000 0.000 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

1144 1144 2075 1278 0 0 0 0 0

N.S.

1 1.00 1.81 1.12 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.301 6.064 64.233 0.000 0.000 0.000 0.000 0.000

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

1134 1134 2060 1798 0 0 0 0 0

N.S.

1 1.00 1.82 1.59 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.769 6.048 106.523 0.000 0.000 0.000 0.000 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

403 403 326 0 0 1699 0 0 0

N.S.

1 1.00 0.81 0.00 0.00 4.22 0.00 0.00 0.00

time (sec)

N/A 0.895 1.564 0.000 0.000 2.439 0.000 0.000 0.000

Problem 119

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

294 294 263 0 0 1379 0 0 0

N.S.

1 1.00 0.89 0.00 0.00 4.69 0.00 0.00 0.00

time (sec)

N/A 0.296 1.442 0.000 0.000 1.049 0.000 0.000 0.000

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

195 195 213 0 0 1098 0 0 0

N.S.

1 1.00 1.09 0.00 0.00 5.63 0.00 0.00 0.00

time (sec)

N/A 0.134 1.573 0.000 0.000 0.533 0.000 0.000 0.000

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 23 20 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.00 0.87 1.00 1.17

time (sec)

N/A 0.068 6.453 0.493 0.000 0.258 10.391 0.349 1.275

Problem 122

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 23 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.00 0.96 1.00 1.17

time (sec)

N/A 0.074 10.945 0.764 0.000 0.260 14.183 0.369 1.407

Problem 123

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 27 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.17 0.96 1.00 1.17

time (sec)

N/A 0.069 10.764 0.526 0.000 0.259 118.153 0.343 1.394

Problem 124

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

20 20 22 18 0 20 19 20 24

N.S.

1 1.00 1.10 0.90 0.00 1.00 0.95 1.00 1.20

time (sec)

N/A 0.025 17.908 0.439 0.000 0.266 47.880 0.357 1.266

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 23 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.00 0.96 1.00 1.17

time (sec)

N/A 0.065 1.862 0.316 0.000 0.264 7.153 0.356 1.526

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

328 328 247 0 0 192 0 0 0

N.S.

1 1.00 0.75 0.00 0.00 0.59 0.00 0.00 0.00

time (sec)

N/A 0.313 8.064 0.000 0.000 0.108 0.000 0.000 0.000

Problem 127

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

453 453 325 0 0 292 0 0 0

N.S.

1 1.00 0.72 0.00 0.00 0.64 0.00 0.00 0.00

time (sec)

N/A 0.409 10.695 0.000 0.000 0.113 0.000 0.000 0.000

Problem 128

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

374 374 304 0 0 1697 0 0 0

N.S.

1 1.00 0.81 0.00 0.00 4.54 0.00 0.00 0.00

time (sec)

N/A 0.376 1.586 0.000 0.000 2.235 0.000 0.000 0.000

Problem 129

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

262 262 248 0 0 1375 0 0 0

N.S.

1 1.00 0.95 0.00 0.00 5.25 0.00 0.00 0.00

time (sec)

N/A 0.218 1.322 0.000 0.000 0.982 0.000 0.000 0.000

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 40 20 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.74 0.87 1.00 1.17

time (sec)

N/A 0.083 7.682 2.917 0.000 0.259 72.838 0.474 1.243

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 40 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.74 0.96 1.00 1.17

time (sec)

N/A 0.090 11.890 2.283 0.000 0.274 63.269 0.363 1.493

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 0 43 0 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.87 0.00 1.00 1.17

time (sec)

N/A 0.083 11.079 1.111 0.000 0.261 0.000 0.342 1.514

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 20 22 18 0 37 0 20 24

N.S.

1 1.00 1.10 0.90 0.00 1.85 0.00 1.00 1.20

time (sec)

N/A 0.029 18.491 1.258 0.000 0.286 0.000 0.387 1.293

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 40 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.74 0.96 1.00 1.17

time (sec)

N/A 0.071 36.147 2.253 0.000 0.267 98.964 0.419 1.686

Problem 135

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 40 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.74 0.96 1.00 1.17

time (sec)

N/A 0.069 5.649 0.400 0.000 0.255 65.772 0.370 1.461

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

416 416 303 0 0 286 0 0 0

N.S.

1 1.00 0.73 0.00 0.00 0.69 0.00 0.00 0.00

time (sec)

N/A 0.396 11.197 0.000 0.000 0.138 0.000 0.000 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

554 554 383 0 0 397 0 0 0

N.S.

1 1.00 0.69 0.00 0.00 0.72 0.00 0.00 0.00

time (sec)

N/A 0.565 11.822 0.000 0.000 0.140 0.000 0.000 0.000

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

321 321 282 0 0 1383 0 0 0

N.S.

1 1.00 0.88 0.00 0.00 4.31 0.00 0.00 0.00

time (sec)

N/A 0.745 2.010 0.000 0.000 1.107 0.000 0.000 0.000

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

225 225 239 0 0 1107 0 0 0

N.S.

1 1.00 1.06 0.00 0.00 4.92 0.00 0.00 0.00

time (sec)

N/A 0.229 1.421 0.000 0.000 0.546 0.000 0.000 0.000

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

132 132 107 0 0 870 0 0 0

N.S.

1 1.00 0.81 0.00 0.00 6.59 0.00 0.00 0.00

time (sec)

N/A 0.110 0.326 0.000 0.000 0.358 0.000 0.000 0.000

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 31 20 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.35 0.87 1.00 1.17

time (sec)

N/A 0.068 1.222 0.518 0.000 0.259 7.655 0.354 1.318

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 33 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.43 0.96 1.00 1.17

time (sec)

N/A 0.083 5.254 0.839 0.000 0.268 27.192 0.355 1.392

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 27 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.17 0.96 1.00 1.17

time (sec)

N/A 0.063 36.978 0.555 0.000 0.269 53.630 0.366 1.422

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

20 20 22 18 0 20 19 20 24

N.S.

1 1.00 1.10 0.90 0.00 1.00 0.95 1.00 1.20

time (sec)

N/A 0.023 0.724 0.545 0.000 0.257 15.699 0.351 1.170

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

247 247 140 0 0 105 0 0 0

N.S.

1 1.00 0.57 0.00 0.00 0.43 0.00 0.00 0.00

time (sec)

N/A 0.191 0.183 0.000 0.000 0.103 0.000 0.000 0.000

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

362 362 249 0 0 198 0 0 0

N.S.

1 1.00 0.69 0.00 0.00 0.55 0.00 0.00 0.00

time (sec)

N/A 0.334 6.527 0.000 0.000 0.123 0.000 0.000 0.000

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

252 252 263 0 0 1480 0 0 0

N.S.

1 1.00 1.04 0.00 0.00 5.87 0.00 0.00 0.00

time (sec)

N/A 0.780 1.528 0.000 0.000 0.521 0.000 0.000 0.000

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

156 156 162 0 0 1072 0 0 0

N.S.

1 1.00 1.04 0.00 0.00 6.87 0.00 0.00 0.00

time (sec)

N/A 0.188 1.110 0.000 0.000 0.378 0.000 0.000 0.000

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

79 79 78 0 0 283 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 3.58 0.00 0.00 0.00

time (sec)

N/A 0.077 0.249 0.000 0.000 0.312 0.000 0.000 0.000

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 42 20 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.83 0.87 1.00 1.17

time (sec)

N/A 0.088 8.843 2.148 0.000 0.272 75.350 0.359 1.316

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 0 44 0 23 27

N.S.

1 1.00 1.09 0.91 0.00 1.91 0.00 1.00 1.17

time (sec)

N/A 0.097 11.368 5.027 0.000 0.273 0.000 0.365 1.486

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 47 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 2.04 0.96 1.00 1.17

time (sec)

N/A 0.086 14.727 1.467 0.000 0.259 122.610 0.381 1.380

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

23 23 25 21 0 47 22 23 27

N.S.

1 1.00 1.09 0.91 0.00 2.04 0.96 1.00 1.17

time (sec)

N/A 0.069 5.864 1.264 0.000 0.266 32.452 0.422 1.149

Problem 154

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

108 108 112 0 0 76 0 0 0

N.S.

1 1.00 1.04 0.00 0.00 0.70 0.00 0.00 0.00

time (sec)

N/A 0.066 0.198 0.000 0.000 0.105 0.000 0.000 0.000

Problem 155

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

275 275 213 0 0 188 0 0 0

N.S.

1 1.00 0.77 0.00 0.00 0.68 0.00 0.00 0.00

time (sec)

N/A 0.243 4.957 0.000 0.000 0.110 0.000 0.000 0.000

Problem 156

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

243 243 240 0 0 2119 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 8.72 0.00 0.00 0.00

time (sec)

N/A 0.762 1.466 0.000 0.000 0.496 0.000 0.000 0.000

Problem 157

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

163 163 162 0 0 663 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 4.07 0.00 0.00 0.00

time (sec)

N/A 0.170 0.412 0.000 0.000 0.379 0.000 0.000 0.000

Problem 158

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

138 138 130 0 0 573 0 0 0

N.S.

1 1.00 0.94 0.00 0.00 4.15 0.00 0.00 0.00

time (sec)

N/A 0.097 0.350 0.000 0.000 0.365 0.000 0.000 0.000

Problem 159

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 0 53 0 23 27

N.S.

1 1.00 1.09 0.91 0.00 2.30 0.00 1.00 1.17

time (sec)

N/A 0.098 16.092 3.111 0.000 0.273 0.000 0.366 1.267

Problem 160

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 0 55 0 23 27

N.S.

1 1.00 1.09 0.91 0.00 2.39 0.00 1.00 1.17

time (sec)

N/A 0.102 18.717 3.412 0.000 0.277 0.000 0.372 1.460

Problem 161

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 0 58 0 23 27

N.S.

1 1.00 1.09 0.91 0.00 2.52 0.00 1.00 1.17

time (sec)

N/A 0.082 15.999 1.654 0.000 0.272 0.000 0.401 1.427

Problem 162

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 21 0 58 0 23 27

N.S.

1 1.00 1.09 0.91 0.00 2.52 0.00 1.00 1.17

time (sec)

N/A 0.076 15.004 1.543 0.000 0.279 0.000 0.446 1.303

Problem 163

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

276 276 185 0 0 284 0 0 0

N.S.

1 1.00 0.67 0.00 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 0.203 0.314 0.000 0.000 0.124 0.000 0.000 0.000

Problem 164

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

296 296 249 0 0 350 0 0 0

N.S.

1 1.00 0.84 0.00 0.00 1.18 0.00 0.00 0.00

time (sec)

N/A 0.179 0.421 0.000 0.000 0.121 0.000 0.000 0.000

Problem 165

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

585 566 402 0 0 0 0 0 0

N.S.

1 0.97 0.69 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.572 0.884 0.000 0.000 0.000 0.000 0.000 0.000

Problem 166

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

371 352 293 0 0 0 0 0 0

N.S.

1 0.95 0.79 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.328 0.480 0.000 0.000 0.000 0.000 0.000 0.000

Problem 167

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

215 202 171 0 0 0 0 0 0

N.S.

1 0.94 0.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.143 0.341 0.000 0.000 0.000 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

23 23 25 23 25 25 20 25 29

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.87 1.09 1.26

time (sec)

N/A 0.053 2.203 4.670 0.572 0.268 35.125 0.319 0.819

Problem 169

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 23 25 23 25 36 0 25 29

N.S.

1 1.00 1.09 1.00 1.09 1.57 0.00 1.09 1.26

time (sec)

N/A 0.054 4.734 3.287 0.573 0.266 0.000 0.327 0.803

Problem 170

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 25 27 23 25 42 0 25 29

N.S.

1 1.00 1.08 0.92 1.00 1.68 0.00 1.00 1.16

time (sec)

N/A 0.076 1.063 2.732 0.551 0.286 0.000 0.372 0.897

Problem 171

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

25 25 27 23 25 25 24 25 29

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.96 1.00 1.16

time (sec)

N/A 0.076 0.145 1.367 0.395 0.282 51.607 0.344 0.810

Problem 172

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

25 25 27 23 25 25 24 25 29

N.S.

1 1.00 1.08 0.92 1.00 1.00 0.96 1.00 1.16

time (sec)

N/A 0.069 1.088 1.158 0.408 0.272 21.901 0.357 0.897

Problem 173

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

25 25 27 23 25 45 24 25 29

N.S.

1 1.00 1.08 0.92 1.00 1.80 0.96 1.00 1.16

time (sec)

N/A 0.074 1.222 2.210 0.424 0.279 134.541 0.368 0.982

Problem 174

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

401 401 194 0 0 238 0 0 0

N.S.

1 1.00 0.48 0.00 0.00 0.59 0.00 0.00 0.00

time (sec)

N/A 1.724 0.271 0.000 0.000 0.300 0.000 0.000 0.000

Problem 175

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

268 268 159 0 0 181 0 0 0

N.S.

1 1.00 0.59 0.00 0.00 0.68 0.00 0.00 0.00

time (sec)

N/A 1.404 0.339 0.000 0.000 0.276 0.000 0.000 0.000

Problem 176

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

126 135 138 0 0 124 0 0 0

N.S.

1 1.07 1.10 0.00 0.00 0.98 0.00 0.00 0.00

time (sec)

N/A 0.143 0.192 0.000 0.000 0.264 0.000 0.000 0.000

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

26 26 28 24 88 37 34 26 30

N.S.

1 1.00 1.08 0.92 3.38 1.42 1.31 1.00 1.15

time (sec)

N/A 0.071 0.441 0.372 0.518 0.254 11.160 0.359 1.817

Problem 178

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

26 26 28 24 112 39 36 26 30

N.S.

1 1.00 1.08 0.92 4.31 1.50 1.38 1.00 1.15

time (sec)

N/A 0.068 8.123 3.034 0.496 0.257 83.530 0.362 1.547

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