2.2.7 Integrals 601 to 700

Detailed conclusion table per each integral is given by 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 just an F.

In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.

Problem 601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.104 0.012 0.025 0.274 0.332 0.000 4.973 4.266

Problem 602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.109 0.012 0.028 0.277 0.336 0.000 4.811 4.225

Problem 603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.107 0.013 0.026 0.277 0.355 0.000 3.437 4.233

Problem 604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.107 0.014 0.028 0.270 0.358 0.000 3.475 4.223

Problem 605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 57 0 105 -1

N.S.

1 1.00 0.33 0.31 0.22 0.22 0.00 0.41 -0.00

time (sec)

N/A 0.040 0.016 0.048 0.286 0.326 0.000 4.011 0.000

Problem 606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 57 0 105 -1

N.S.

1 1.00 0.33 0.31 0.22 0.22 0.00 0.41 -0.00

time (sec)

N/A 0.041 0.014 0.048 0.286 0.353 0.000 4.027 0.000

Problem 607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 57 0 105 -1

N.S.

1 1.00 0.33 0.31 0.22 0.22 0.00 0.41 -0.00

time (sec)

N/A 0.039 0.014 0.046 0.284 0.323 0.000 3.314 0.000

Problem 608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 57 0 105 -1

N.S.

1 1.00 0.33 0.31 0.22 0.22 0.00 0.41 -0.00

time (sec)

N/A 0.041 0.014 0.046 0.275 0.343 0.000 3.002 0.000

Problem 609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 57 0 105 -1

N.S.

1 1.00 0.33 0.31 0.22 0.22 0.00 0.41 -0.00

time (sec)

N/A 0.041 0.014 0.046 0.276 0.327 0.000 3.753 0.000

Problem 610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

252 252 83 80 56 56 0 104 -1

N.S.

1 1.00 0.33 0.32 0.22 0.22 0.00 0.41 -0.00

time (sec)

N/A 0.041 0.015 0.045 0.280 0.340 0.000 3.915 0.000

Problem 611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

248 248 81 78 54 54 0 102 -1

N.S.

1 1.00 0.33 0.31 0.22 0.22 0.00 0.41 -0.00

time (sec)

N/A 0.034 0.012 0.017 0.279 0.320 0.000 3.974 0.000

Problem 612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

247 247 83 80 55 59 0 103 -1

N.S.

1 1.00 0.34 0.32 0.22 0.24 0.00 0.42 -0.00

time (sec)

N/A 0.040 0.014 0.023 0.310 0.314 0.000 3.490 0.000

Problem 613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

246 246 83 80 54 59 0 104 -1

N.S.

1 1.00 0.34 0.33 0.22 0.24 0.00 0.42 -0.00

time (sec)

N/A 0.039 0.016 0.026 0.274 0.332 0.000 5.899 0.000

Problem 614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

249 249 83 80 55 59 0 106 -1

N.S.

1 1.00 0.33 0.32 0.22 0.24 0.00 0.43 -0.00

time (sec)

N/A 0.039 0.014 0.030 0.277 0.346 0.000 4.615 0.000

Problem 615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

247 247 83 80 55 59 0 106 -1

N.S.

1 1.00 0.34 0.32 0.22 0.24 0.00 0.43 -0.00

time (sec)

N/A 0.039 0.012 0.023 0.290 0.337 0.000 5.293 0.000

Problem 616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

246 246 83 80 54 59 0 105 -1

N.S.

1 1.00 0.34 0.33 0.22 0.24 0.00 0.43 -0.00

time (sec)

N/A 0.039 0.013 0.023 0.289 0.359 0.000 6.077 0.000

Problem 617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

251 251 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.32 0.23 0.24 0.00 0.43 0.92

time (sec)

N/A 0.040 0.012 0.024 0.279 0.349 0.000 5.071 4.221

Problem 618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

253 253 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.32 0.23 0.23 0.00 0.42 0.91

time (sec)

N/A 0.040 0.012 0.023 0.290 0.335 0.000 3.931 4.350

Problem 619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.040 0.012 0.026 0.275 0.333 0.000 3.289 4.208

Problem 620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.040 0.012 0.024 0.288 0.358 0.000 4.424 4.315

Problem 621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.041 0.014 0.025 0.282 0.324 0.000 3.199 4.267

Problem 622

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.040 0.012 0.025 0.271 0.349 0.000 3.962 4.337

Problem 623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

255 255 83 80 57 59 0 107 231

N.S.

1 1.00 0.33 0.31 0.22 0.23 0.00 0.42 0.91

time (sec)

N/A 0.040 0.013 0.029 0.281 0.352 0.000 5.979 4.311

Problem 624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

127 127 55 52 34 33 32 59 -1

N.S.

1 1.00 0.43 0.41 0.27 0.26 0.25 0.46 -0.01

time (sec)

N/A 0.071 0.018 0.124 0.285 0.328 0.055 4.357 0.000

Problem 625

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

75 75 44 41 23 22 20 33 64

N.S.

1 1.00 0.59 0.55 0.31 0.29 0.27 0.44 0.85

time (sec)

N/A 0.038 0.009 0.122 0.271 0.342 0.048 5.992 4.519

Problem 626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

44 44 35 32 13 13 10 22 33

N.S.

1 1.00 0.80 0.73 0.30 0.30 0.23 0.50 0.75

time (sec)

N/A 0.022 0.006 0.121 0.274 0.322 0.035 5.400 4.415

Problem 627

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

80 80 42 37 23 18 15 33 40

N.S.

1 1.00 0.52 0.46 0.29 0.22 0.19 0.41 0.50

time (sec)

N/A 0.023 0.008 0.128 0.291 0.357 0.089 4.732 4.451

Problem 628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

125 122 54 52 33 33 31 52 75

N.S.

1 0.98 0.43 0.42 0.26 0.26 0.25 0.42 0.60

time (sec)

N/A 0.034 0.011 0.138 0.281 0.361 0.124 4.033 4.454

Problem 629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

129 129 66 64 37 99 80 64 -1

N.S.

1 1.00 0.51 0.50 0.29 0.77 0.62 0.50 -0.01

time (sec)

N/A 0.031 0.018 0.141 0.498 0.343 0.066 6.241 0.000

Problem 630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

89 89 54 48 26 82 56 42 -1

N.S.

1 1.00 0.61 0.54 0.29 0.92 0.63 0.47 -0.01

time (sec)

N/A 0.021 0.010 0.126 0.504 0.357 0.056 4.955 0.000

Problem 631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

53 53 44 34 15 67 53 23 -1

N.S.

1 1.00 0.83 0.64 0.28 1.26 1.00 0.43 -0.02

time (sec)

N/A 0.010 0.009 0.149 0.495 0.355 0.050 3.687 0.000

Problem 632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

92 92 56 50 29 82 65 37 -1

N.S.

1 1.00 0.61 0.54 0.32 0.89 0.71 0.40 -0.01

time (sec)

N/A 0.021 0.010 0.132 0.494 0.352 0.074 3.341 0.000

Problem 633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

133 130 70 68 40 106 87 50 -1

N.S.

1 0.98 0.53 0.51 0.30 0.80 0.65 0.38 -0.01

time (sec)

N/A 0.030 0.018 0.129 0.532 0.370 0.097 4.670 0.000

Problem 634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

158 158 81 103 66 91 0 92 -1

N.S.

1 1.00 0.51 0.65 0.42 0.58 0.00 0.58 -0.01

time (sec)

N/A 0.088 0.022 0.029 0.287 0.364 0.000 3.679 0.000

Problem 635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

113 113 61 81 55 69 0 62 -1

N.S.

1 1.00 0.54 0.72 0.49 0.61 0.00 0.55 -0.01

time (sec)

N/A 0.068 0.016 0.048 0.292 0.316 0.000 4.287 0.000

Problem 636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

41 69 39 32 36 36 0 32 42

N.S.

1 1.68 0.95 0.78 0.88 0.88 0.00 0.78 1.02

time (sec)

N/A 0.034 0.009 0.024 0.291 0.349 0.000 4.633 4.244

Problem 637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 27 24 26 26 0 24 34

N.S.

1 1.00 0.71 0.63 0.68 0.68 0.00 0.63 0.89

time (sec)

N/A 0.017 0.006 0.017 0.284 0.331 0.000 4.249 4.343

Problem 638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

147 147 74 107 57 90 0 89 -1

N.S.

1 1.00 0.50 0.73 0.39 0.61 0.00 0.61 -0.01

time (sec)

N/A 0.054 0.020 0.030 0.292 0.342 0.000 4.629 0.000

Problem 639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

189 189 97 133 75 119 0 122 -1

N.S.

1 1.00 0.51 0.70 0.40 0.63 0.00 0.65 -0.01

time (sec)

N/A 0.063 0.027 0.054 0.280 0.341 0.000 4.490 0.000

Problem 640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

128 128 84 97 59 188 0 65 -1

N.S.

1 1.00 0.66 0.76 0.46 1.47 0.00 0.51 -0.01

time (sec)

N/A 0.033 0.022 0.038 0.521 0.341 0.000 3.884 0.000

Problem 641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

129 129 81 99 62 190 0 70 -1

N.S.

1 1.00 0.63 0.77 0.48 1.47 0.00 0.54 -0.01

time (sec)

N/A 0.033 0.020 0.053 0.496 0.339 0.000 4.490 0.000

Problem 642

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

135 135 83 97 58 188 0 65 -1

N.S.

1 1.00 0.61 0.72 0.43 1.39 0.00 0.48 -0.01

time (sec)

N/A 0.024 0.017 0.042 0.494 0.345 0.000 4.184 0.000

Problem 643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

169 169 93 119 71 202 0 87 -1

N.S.

1 1.00 0.55 0.70 0.42 1.20 0.00 0.51 -0.01

time (sec)

N/A 0.041 0.023 0.034 0.502 0.379 0.000 6.020 0.000

Problem 644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

209 209 105 139 86 238 0 101 -1

N.S.

1 1.00 0.50 0.67 0.41 1.14 0.00 0.48 -0.00

time (sec)

N/A 0.053 0.027 0.036 0.489 0.331 0.000 5.125 0.000

Problem 645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

238 238 103 163 110 157 0 114 -1

N.S.

1 1.00 0.43 0.68 0.46 0.66 0.00 0.48 -0.00

time (sec)

N/A 0.129 0.027 0.031 0.290 0.313 0.000 3.434 0.000

Problem 646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

196 196 83 141 99 135 0 84 -1

N.S.

1 1.00 0.42 0.72 0.51 0.69 0.00 0.43 -0.01

time (sec)

N/A 0.111 0.021 0.027 0.279 0.331 0.000 4.596 0.000

Problem 647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

41 41 61 54 80 80 0 54 144

N.S.

1 1.00 1.49 1.32 1.95 1.95 0.00 1.32 3.51

time (sec)

N/A 0.027 0.012 0.030 0.283 0.339 0.000 3.940 4.291

Problem 648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

74 74 50 43 69 69 0 43 53

N.S.

1 1.00 0.68 0.58 0.93 0.93 0.00 0.58 0.72

time (sec)

N/A 0.010 0.013 0.026 0.284 0.334 0.000 3.840 4.235

Problem 649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

69 69 39 32 58 58 0 32 42

N.S.

1 1.00 0.57 0.46 0.84 0.84 0.00 0.46 0.61

time (sec)

N/A 0.034 0.010 0.025 0.279 0.350 0.000 3.604 4.260

Problem 650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 27 24 48 48 0 24 34

N.S.

1 1.00 0.71 0.63 1.26 1.26 0.00 0.63 0.89

time (sec)

N/A 0.017 0.007 0.021 0.290 0.327 0.000 3.588 4.273

Problem 651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

223 223 96 193 101 178 0 111 -1

N.S.

1 1.00 0.43 0.87 0.45 0.80 0.00 0.50 -0.00

time (sec)

N/A 0.081 0.030 0.033 0.283 0.370 0.000 4.127 0.000

Problem 652

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

267 267 119 219 119 207 0 144 -1

N.S.

1 1.00 0.45 0.82 0.45 0.78 0.00 0.54 -0.00

time (sec)

N/A 0.095 0.032 0.038 0.285 0.376 0.000 3.549 0.000

Problem 653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

211 211 105 172 109 324 0 93 -1

N.S.

1 1.00 0.50 0.82 0.52 1.54 0.00 0.44 -0.00

time (sec)

N/A 0.060 0.028 0.039 0.497 0.377 0.000 3.395 0.000

Problem 654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

212 212 105 172 111 324 0 93 -1

N.S.

1 1.00 0.50 0.81 0.52 1.53 0.00 0.44 -0.00

time (sec)

N/A 0.056 0.028 0.040 0.495 0.356 0.000 4.174 0.000

Problem 655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

213 213 105 172 109 324 0 93 -1

N.S.

1 1.00 0.49 0.81 0.51 1.52 0.00 0.44 -0.00

time (sec)

N/A 0.056 0.024 0.037 0.493 0.350 0.000 4.262 0.000

Problem 656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

213 213 105 169 102 320 0 87 -1

N.S.

1 1.00 0.49 0.79 0.48 1.50 0.00 0.41 -0.00

time (sec)

N/A 0.047 0.027 0.035 0.498 0.330 0.000 3.944 0.000

Problem 657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

251 251 115 191 115 334 0 109 -1

N.S.

1 1.00 0.46 0.76 0.46 1.33 0.00 0.43 -0.00

time (sec)

N/A 0.069 0.031 0.037 0.497 0.351 0.000 3.941 0.000

Problem 658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

291 291 127 211 130 370 0 123 -1

N.S.

1 1.00 0.44 0.73 0.45 1.27 0.00 0.42 -0.00

time (sec)

N/A 0.083 0.033 0.042 0.510 0.342 0.000 4.052 0.000

Problem 659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

298 298 64 0 0 0 0 0 -1

N.S.

1 1.00 0.21 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.158 4.785 0.005 0.000 0.000 0.000 0.000 0.000

Problem 660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

256 256 48 0 0 0 0 0 -1

N.S.

1 1.00 0.19 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.086 4.647 0.003 0.000 0.000 0.000 0.000 0.000

Problem 661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

289 289 51 0 0 0 0 0 -1

N.S.

1 1.00 0.18 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.112 5.270 0.003 0.000 0.000 0.000 0.000 0.000

Problem 662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

618 618 64 0 0 0 0 0 -1

N.S.

1 1.00 0.10 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.256 5.753 0.005 0.000 0.000 0.000 0.000 0.000

Problem 663

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

609 609 64 0 0 0 0 0 -1

N.S.

1 1.00 0.11 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.237 5.350 0.003 0.000 0.000 0.000 0.000 0.000

Problem 664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

649 649 61 0 0 0 0 0 -1

N.S.

1 1.00 0.09 0.00 0.00 0.00 0.00 0.00 -0.00

time (sec)

N/A 0.267 6.045 0.003 0.000 0.000 0.000 0.000 0.000

Problem 665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 33 42 41 40 48 48 40

N.S.

1 1.00 0.65 0.82 0.80 0.78 0.94 0.94 0.78

time (sec)

N/A 0.010 0.020 0.030 0.280 0.361 0.422 3.237 0.074

Problem 666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 33 42 41 34 48 42 41

N.S.

1 1.00 0.65 0.82 0.80 0.67 0.94 0.82 0.80

time (sec)

N/A 0.010 0.019 0.025 0.280 0.340 0.233 3.686 4.224

Problem 667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 33 42 41 29 48 37 41

N.S.

1 1.00 0.65 0.82 0.80 0.57 0.94 0.73 0.80

time (sec)

N/A 0.010 0.015 0.023 0.323 0.342 0.120 4.309 0.050

Problem 668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

49 49 33 41 41 31 46 41 41

N.S.

1 1.00 0.67 0.84 0.84 0.63 0.94 0.84 0.84

time (sec)

N/A 0.009 0.016 0.024 0.337 0.347 0.220 4.517 0.045

Problem 669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

49 49 33 42 44 34 46 51 31

N.S.

1 1.00 0.67 0.86 0.90 0.69 0.94 1.04 0.63

time (sec)

N/A 0.010 0.019 0.028 0.279 0.344 0.230 3.342 0.052

Problem 670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

49 49 33 42 43 34 46 53 34

N.S.

1 1.00 0.67 0.86 0.88 0.69 0.94 1.08 0.69

time (sec)

N/A 0.010 0.019 0.030 0.285 0.319 0.286 3.609 4.231

Problem 671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

49 49 38 42 47 34 46 48 34

N.S.

1 1.00 0.78 0.86 0.96 0.69 0.94 0.98 0.69

time (sec)

N/A 0.010 0.022 0.033 0.306 0.360 0.430 4.479 0.050

Problem 672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

91 91 55 74 73 68 88 86 71

N.S.

1 1.00 0.60 0.81 0.80 0.75 0.97 0.95 0.78

time (sec)

N/A 0.031 0.024 0.055 0.298 0.360 0.699 3.845 4.199

Problem 673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

91 91 55 74 73 58 88 74 71

N.S.

1 1.00 0.60 0.81 0.80 0.64 0.97 0.81 0.78

time (sec)

N/A 0.028 0.022 0.059 0.289 0.326 0.430 4.193 0.030

Problem 674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

91 91 55 74 73 51 88 69 71

N.S.

1 1.00 0.60 0.81 0.80 0.56 0.97 0.76 0.78

time (sec)

N/A 0.029 0.020 0.055 0.268 0.329 0.238 3.446 0.029

Problem 675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

89 89 55 73 90 53 87 73 71

N.S.

1 1.00 0.62 0.82 1.01 0.60 0.98 0.82 0.80

time (sec)

N/A 0.027 0.020 0.030 0.279 0.355 0.338 6.404 0.031

Problem 676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

89 89 55 74 76 56 87 89 71

N.S.

1 1.00 0.62 0.83 0.85 0.63 0.98 1.00 0.80

time (sec)

N/A 0.028 0.023 0.035 0.274 0.329 0.353 2.888 0.033

Problem 677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

89 89 55 74 76 56 87 92 71

N.S.

1 1.00 0.62 0.83 0.85 0.63 0.98 1.03 0.80

time (sec)

N/A 0.028 0.023 0.056 0.277 0.349 0.389 3.341 0.030

Problem 678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

87 87 60 74 82 56 85 95 75

N.S.

1 1.00 0.69 0.85 0.94 0.64 0.98 1.09 0.86

time (sec)

N/A 0.028 0.026 0.040 0.281 0.338 0.482 3.883 0.058

Problem 679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

129 129 77 105 105 96 128 124 103

N.S.

1 1.00 0.60 0.81 0.81 0.74 0.99 0.96 0.80

time (sec)

N/A 0.045 0.029 0.059 0.303 0.342 1.065 4.107 0.039

Problem 680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

131 131 77 106 105 82 129 106 103

N.S.

1 1.00 0.59 0.81 0.80 0.63 0.98 0.81 0.79

time (sec)

N/A 0.042 0.026 0.059 0.299 0.328 0.694 4.291 0.037

Problem 681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

131 131 77 106 105 73 129 101 103

N.S.

1 1.00 0.59 0.81 0.80 0.56 0.98 0.77 0.79

time (sec)

N/A 0.041 0.022 0.078 0.304 0.340 0.432 3.343 0.038

Problem 682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

129 129 77 105 155 75 128 105 103

N.S.

1 1.00 0.60 0.81 1.20 0.58 0.99 0.81 0.80

time (sec)

N/A 0.041 0.024 0.035 0.288 0.336 0.517 3.877 0.037

Problem 683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

125 125 77 105 108 78 124 127 103

N.S.

1 1.00 0.62 0.84 0.86 0.62 0.99 1.02 0.82

time (sec)

N/A 0.044 0.028 0.041 0.309 0.341 0.550 3.846 0.039

Problem 684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

127 127 77 106 108 78 126 130 103

N.S.

1 1.00 0.61 0.83 0.85 0.61 0.99 1.02 0.81

time (sec)

N/A 0.041 0.028 0.041 0.287 0.361 0.612 3.749 0.038

Problem 685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

127 127 82 106 114 78 126 133 107

N.S.

1 1.00 0.65 0.83 0.90 0.61 0.99 1.05 0.84

time (sec)

N/A 0.041 0.030 0.046 0.275 0.342 0.769 3.802 0.039

Problem 686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

316 316 178 207 300 283 0 297 129

N.S.

1 1.00 0.56 0.66 0.95 0.90 0.00 0.94 0.41

time (sec)

N/A 0.265 0.298 0.072 0.509 0.356 0.000 4.277 4.273

Problem 687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

298 298 167 188 273 283 0 277 112

N.S.

1 1.00 0.56 0.63 0.92 0.95 0.00 0.93 0.38

time (sec)

N/A 0.211 0.282 0.086 0.514 0.356 0.000 3.836 0.124

Problem 688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

298 298 167 190 282 247 0 263 112

N.S.

1 1.00 0.56 0.64 0.95 0.83 0.00 0.88 0.38

time (sec)

N/A 0.202 0.270 0.065 0.491 0.344 0.000 3.522 0.120

Problem 689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

281 281 154 171 256 247 0 277 92

N.S.

1 1.00 0.55 0.61 0.91 0.88 0.00 0.99 0.33

time (sec)

N/A 0.182 0.262 0.047 0.501 0.354 0.000 3.464 4.252

Problem 690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

281 281 153 177 265 234 0 261 92

N.S.

1 1.00 0.54 0.63 0.94 0.83 0.00 0.93 0.33

time (sec)

N/A 0.174 0.261 0.046 0.510 0.359 0.000 4.071 4.355

Problem 691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

283 283 152 180 255 232 78 264 90

N.S.

1 1.00 0.54 0.64 0.90 0.82 0.28 0.93 0.32

time (sec)

N/A 0.180 0.237 0.043 0.499 0.398 2.540 3.300 0.112

Problem 692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

283 283 154 177 261 232 0 269 90

N.S.

1 1.00 0.54 0.63 0.92 0.82 0.00 0.95 0.32

time (sec)

N/A 0.172 0.245 0.046 0.508 0.368 0.000 3.292 0.105

Problem 693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

300 300 165 191 268 276 0 294 102

N.S.

1 1.00 0.55 0.64 0.89 0.92 0.00 0.98 0.34

time (sec)

N/A 0.203 0.275 0.069 0.508 0.341 0.000 3.077 0.122

Problem 694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

300 300 165 194 275 300 0 276 102

N.S.

1 1.00 0.55 0.65 0.92 1.00 0.00 0.92 0.34

time (sec)

N/A 0.195 0.277 0.069 0.505 0.377 0.000 3.208 4.396

Problem 695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

318 318 181 206 290 323 0 307 113

N.S.

1 1.00 0.57 0.65 0.91 1.02 0.00 0.97 0.36

time (sec)

N/A 0.223 0.298 0.073 0.497 0.349 0.000 3.953 4.350

Problem 696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

368 368 205 237 361 399 0 336 188

N.S.

1 1.00 0.56 0.64 0.98 1.08 0.00 0.91 0.51

time (sec)

N/A 0.277 0.568 0.105 0.523 0.398 0.000 4.017 0.129

Problem 697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

350 350 194 218 334 399 0 316 171

N.S.

1 1.00 0.55 0.62 0.95 1.14 0.00 0.90 0.49

time (sec)

N/A 0.251 0.547 0.105 0.520 0.392 0.000 4.149 4.333

Problem 698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

350 350 175 220 343 363 0 302 171

N.S.

1 1.00 0.50 0.63 0.98 1.04 0.00 0.86 0.49

time (sec)

N/A 0.250 0.472 0.093 0.502 0.372 0.000 3.174 4.300

Problem 699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

333 333 164 203 317 370 0 314 153

N.S.

1 1.00 0.49 0.61 0.95 1.11 0.00 0.94 0.46

time (sec)

N/A 0.227 0.470 0.065 0.500 0.361 0.000 3.418 0.110

Problem 700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

333 333 164 209 326 373 0 301 153

N.S.

1 1.00 0.49 0.63 0.98 1.12 0.00 0.90 0.46

time (sec)

N/A 0.222 0.460 0.062 0.506 0.350 0.000 3.462 4.289