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
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 63 | 163 | 107 | 139 | 92 | 231 | 64 | 0 |
N.S. |
1 | 0.94 | 2.43 | 1.60 | 2.07 | 1.37 | 3.45 | 0.96 | 0.00 |
time (sec) |
N/A | 0.195 | 0.299 | 1.005 | 0.276 | 0.295 | 0.751 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 60 | 86 | 87 | 135 | 70 | 228 | 86 | 0 |
N.S. |
1 | 0.95 | 1.37 | 1.38 | 2.14 | 1.11 | 3.62 | 1.37 | 0.00 |
time (sec) |
N/A | 0.187 | 0.225 | 1.052 | 0.195 | 0.297 | 0.643 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 227 | 132 | 108 | 0 | 6315 | 238 | 0 | 374 |
N.S. |
1 | 0.97 | 0.56 | 0.46 | 0.00 | 26.99 | 1.02 | 0.00 | 1.60 |
time (sec) |
N/A | 0.473 | 0.037 | 0.071 | 0.000 | 10.969 | 1.641 | 0.000 | 9.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 197 | 81 | 74 | 0 | 4759 | 158 | 0 | 437 |
N.S. |
1 | 0.94 | 0.39 | 0.35 | 0.00 | 22.66 | 0.75 | 0.00 | 2.08 |
time (sec) |
N/A | 0.475 | 0.021 | 0.056 | 0.000 | 0.945 | 0.542 | 0.000 | 9.864 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 171 | 79 | 72 | 0 | 1950 | 83 | 0 | 145 |
N.S. |
1 | 0.95 | 0.44 | 0.40 | 0.00 | 10.83 | 0.46 | 0.00 | 0.81 |
time (sec) |
N/A | 0.369 | 0.017 | 0.059 | 0.000 | 0.964 | 0.368 | 0.000 | 9.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 131 | 116 | 71 | 0 | 442 | 26 | 160 | 144 |
N.S. |
1 | 0.94 | 0.83 | 0.51 | 0.00 | 3.16 | 0.19 | 1.14 | 1.03 |
time (sec) |
N/A | 0.278 | 0.024 | 0.047 | 0.000 | 0.285 | 0.118 | 0.302 | 10.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 241 | 119 | 105 | 0 | 4370 | 0 | 0 | 553 |
N.S. |
1 | 1.08 | 0.53 | 0.47 | 0.00 | 19.51 | 0.00 | 0.00 | 2.47 |
time (sec) |
N/A | 0.520 | 0.037 | 0.092 | 0.000 | 0.950 | 0.000 | 0.000 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 315 | 173 | 143 | 0 | 8919 | 0 | 0 | 1588 |
N.S. |
1 | 1.00 | 0.55 | 0.46 | 0.00 | 28.40 | 0.00 | 0.00 | 5.06 |
time (sec) |
N/A | 0.699 | 0.062 | 0.122 | 0.000 | 1.334 | 0.000 | 0.000 | 9.900 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 380 | 244 | 200 | 0 | 14765 | 0 | 0 | 1328 |
N.S. |
1 | 0.97 | 0.62 | 0.51 | 0.00 | 37.57 | 0.00 | 0.00 | 3.38 |
time (sec) |
N/A | 0.824 | 0.103 | 0.151 | 0.000 | 3.883 | 0.000 | 0.000 | 9.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 356 | 342 | 106 | 97 | 0 | 0 | 374 | 0 | 1003 |
N.S. |
1 | 0.96 | 0.30 | 0.27 | 0.00 | 0.00 | 1.05 | 0.00 | 2.82 |
time (sec) |
N/A | 0.497 | 0.028 | 0.097 | 0.000 | 0.000 | 2.238 | 0.000 | 9.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 318 | 307 | 106 | 97 | 0 | 61993 | 274 | 0 | 625 |
N.S. |
1 | 0.97 | 0.33 | 0.31 | 0.00 | 194.95 | 0.86 | 0.00 | 1.97 |
time (sec) |
N/A | 0.427 | 0.024 | 0.078 | 0.000 | 58.699 | 1.600 | 0.000 | 9.271 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 250 | 104 | 95 | 0 | 40785 | 131 | 0 | 205 |
N.S. |
1 | 0.96 | 0.40 | 0.36 | 0.00 | 156.26 | 0.50 | 0.00 | 0.79 |
time (sec) |
N/A | 0.377 | 0.019 | 0.074 | 0.000 | 11.051 | 0.478 | 0.000 | 9.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 228 | 161 | 94 | 0 | 152 | 26 | 103 | 60 |
N.S. |
1 | 1.03 | 0.73 | 0.43 | 0.00 | 0.69 | 0.12 | 0.47 | 0.27 |
time (sec) |
N/A | 0.401 | 0.059 | 0.062 | 0.000 | 0.298 | 0.132 | 0.311 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 396 | 163 | 139 | 0 | 307773 | 0 | 0 | 882 |
N.S. |
1 | 1.01 | 0.41 | 0.35 | 0.00 | 783.14 | 0.00 | 0.00 | 2.24 |
time (sec) |
N/A | 0.656 | 0.045 | 0.110 | 0.000 | 4.194 | 0.000 | 0.000 | 9.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 496 | 497 | 238 | 184 | 0 | 1128605 | 0 | 0 | 2440 |
N.S. |
1 | 1.00 | 0.48 | 0.37 | 0.00 | 2275.41 | 0.00 | 0.00 | 4.92 |
time (sec) |
N/A | 0.957 | 0.088 | 0.142 | 0.000 | 78.189 | 0.000 | 0.000 | 9.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 125 | 195 | 179 | 192 | 179 | 199 | 219 | 175 |
N.S. |
1 | 1.02 | 1.59 | 1.46 | 1.56 | 1.46 | 1.62 | 1.78 | 1.42 |
time (sec) |
N/A | 0.366 | 0.020 | 0.046 | 0.197 | 0.241 | 0.047 | 0.277 | 0.205 |
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 | 120 | 85 | 114 | 110 | 119 | 107 | 114 | 128 | 108 |
N.S. |
1 | 0.71 | 0.95 | 0.92 | 0.99 | 0.89 | 0.95 | 1.07 | 0.90 |
time (sec) |
N/A | 0.298 | 0.012 | 0.033 | 0.199 | 0.253 | 0.031 | 0.296 | 0.081 |
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 | 52 | 66 | 60 | 65 | 56 | 65 | 65 | 61 |
N.S. |
1 | 0.72 | 0.92 | 0.83 | 0.90 | 0.78 | 0.90 | 0.90 | 0.85 |
time (sec) |
N/A | 0.226 | 0.007 | 0.030 | 0.209 | 0.249 | 0.030 | 0.285 | 0.023 |
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 | 26 | 26 | 26 | 23 | 22 | 22 | 22 | 22 | 22 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.85 | 0.85 | 0.85 | 0.85 | 0.85 |
time (sec) |
N/A | 0.153 | 0.000 | 0.023 | 0.204 | 0.248 | 0.020 | 0.294 | 0.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 57 | 51 | 0 | 457 | 66 | 2669 | 571 |
N.S. |
1 | 1.00 | 0.64 | 0.57 | 0.00 | 5.13 | 0.74 | 29.99 | 6.42 |
time (sec) |
N/A | 0.231 | 0.018 | 0.067 | 0.000 | 0.249 | 0.543 | 2.518 | 0.323 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 165 | 150 | 158 | 0 | 1948 | 294 | 8503 | 4591 |
N.S. |
1 | 0.98 | 0.89 | 0.93 | 0.00 | 11.53 | 1.74 | 50.31 | 27.17 |
time (sec) |
N/A | 0.313 | 0.047 | 0.069 | 0.000 | 0.269 | 3.339 | 6.370 | 11.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 254 | 254 | 400 | 0 | 3971 | 697 | 16632 | 8242 |
N.S. |
1 | 1.01 | 1.01 | 1.59 | 0.00 | 15.76 | 2.77 | 66.00 | 32.71 |
time (sec) |
N/A | 0.442 | 0.091 | 0.112 | 0.000 | 0.310 | 8.015 | 11.962 | 12.115 |
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 | 210 | 210 | 204 | 182 | 182 | 182 | 212 | 222 | 178 |
N.S. |
1 | 1.00 | 0.97 | 0.87 | 0.87 | 0.87 | 1.01 | 1.06 | 0.85 |
time (sec) |
N/A | 0.410 | 0.021 | 0.112 | 0.204 | 0.250 | 0.044 | 0.258 | 0.206 |
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 | 134 | 134 | 130 | 115 | 113 | 113 | 128 | 133 | 113 |
N.S. |
1 | 1.00 | 0.97 | 0.86 | 0.84 | 0.84 | 0.96 | 0.99 | 0.84 |
time (sec) |
N/A | 0.316 | 0.013 | 0.109 | 0.206 | 0.237 | 0.033 | 0.272 | 9.638 |
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 | 79 | 79 | 75 | 63 | 59 | 59 | 70 | 68 | 64 |
N.S. |
1 | 1.00 | 0.95 | 0.80 | 0.75 | 0.75 | 0.89 | 0.86 | 0.81 |
time (sec) |
N/A | 0.245 | 0.007 | 0.097 | 0.192 | 0.251 | 0.023 | 0.259 | 0.024 |
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 | 35 | 35 | 35 | 28 | 27 | 27 | 29 | 27 | 27 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.77 | 0.77 | 0.83 | 0.77 | 0.77 |
time (sec) |
N/A | 0.179 | 0.003 | 0.022 | 0.203 | 0.253 | 0.017 | 0.265 | 0.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 121 | 59 | 52 | 0 | 140500 | 155 | 0 | 275 |
N.S. |
1 | 1.04 | 0.51 | 0.45 | 0.00 | 1211.21 | 1.34 | 0.00 | 2.37 |
time (sec) |
N/A | 0.324 | 0.016 | 0.043 | 0.000 | 1.452 | 2.478 | 0.000 | 9.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | B | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 166 | 158 | 0 | 0 | 539 | 0 | 1167 |
N.S. |
1 | 1.00 | 0.72 | 0.68 | 0.00 | 0.00 | 2.33 | 0.00 | 5.05 |
time (sec) |
N/A | 0.450 | 0.049 | 0.060 | 0.000 | 0.000 | 16.396 | 0.000 | 10.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | B | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 349 | 359 | 284 | 409 | 0 | 0 | 1102 | 0 | 2200 |
N.S. |
1 | 1.03 | 0.81 | 1.17 | 0.00 | 0.00 | 3.16 | 0.00 | 6.30 |
time (sec) |
N/A | 0.667 | 0.096 | 0.114 | 0.000 | 0.000 | 42.836 | 0.000 | 9.931 |
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 | 210 | 210 | 204 | 182 | 182 | 182 | 219 | 222 | 178 |
N.S. |
1 | 1.00 | 0.97 | 0.87 | 0.87 | 0.87 | 1.04 | 1.06 | 0.85 |
time (sec) |
N/A | 0.405 | 0.020 | 0.122 | 0.193 | 0.239 | 0.042 | 0.290 | 9.273 |
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 | 138 | 138 | 132 | 115 | 113 | 113 | 134 | 133 | 113 |
N.S. |
1 | 1.00 | 0.96 | 0.83 | 0.82 | 0.82 | 0.97 | 0.96 | 0.82 |
time (sec) |
N/A | 0.330 | 0.012 | 0.126 | 0.192 | 0.242 | 0.032 | 0.284 | 9.107 |
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 | 79 | 79 | 73 | 63 | 59 | 59 | 73 | 68 | 64 |
N.S. |
1 | 1.00 | 0.92 | 0.80 | 0.75 | 0.75 | 0.92 | 0.86 | 0.81 |
time (sec) |
N/A | 0.256 | 0.007 | 0.107 | 0.189 | 0.239 | 0.024 | 0.293 | 0.026 |
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 | 35 | 35 | 35 | 28 | 27 | 27 | 29 | 27 | 27 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.77 | 0.77 | 0.83 | 0.77 | 0.77 |
time (sec) |
N/A | 0.184 | 0.002 | 0.022 | 0.189 | 0.238 | 0.018 | 0.277 | 0.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 105 | 61 | 54 | 0 | 1515766 | 172 | 0 | 878 |
N.S. |
1 | 1.06 | 0.62 | 0.55 | 0.00 | 15310.77 | 1.74 | 0.00 | 8.87 |
time (sec) |
N/A | 0.357 | 0.016 | 0.040 | 0.000 | 17.658 | 4.082 | 0.000 | 0.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | B | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 220 | 182 | 160 | 0 | 0 | 561 | 0 | 1218 |
N.S. |
1 | 0.98 | 0.81 | 0.71 | 0.00 | 0.00 | 2.49 | 0.00 | 5.41 |
time (sec) |
N/A | 0.465 | 0.051 | 0.064 | 0.000 | 0.000 | 18.357 | 0.000 | 9.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-2) | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 545 | 530 | 99 | 93 | 0 | 0 | 0 | 0 | 1563 |
N.S. |
1 | 0.97 | 0.18 | 0.17 | 0.00 | 0.00 | 0.00 | 0.00 | 2.87 |
time (sec) |
N/A | 1.280 | 0.040 | 0.078 | 0.000 | 0.000 | 0.000 | 0.000 | 9.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-2) | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 487 | 472 | 99 | 93 | 0 | 0 | 0 | 0 | 1354 |
N.S. |
1 | 0.97 | 0.20 | 0.19 | 0.00 | 0.00 | 0.00 | 0.00 | 2.78 |
time (sec) |
N/A | 0.889 | 0.031 | 0.078 | 0.000 | 0.000 | 0.000 | 0.000 | 9.569 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 334 | 319 | 97 | 93 | 0 | 27094 | 0 | 0 | 825 |
N.S. |
1 | 0.96 | 0.29 | 0.28 | 0.00 | 81.12 | 0.00 | 0.00 | 2.47 |
time (sec) |
N/A | 0.626 | 0.026 | 0.082 | 0.000 | 2.428 | 0.000 | 0.000 | 9.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-2) | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 469 | 454 | 95 | 91 | 0 | 0 | 0 | 0 | 1057 |
N.S. |
1 | 0.97 | 0.20 | 0.19 | 0.00 | 0.00 | 0.00 | 0.00 | 2.25 |
time (sec) |
N/A | 0.857 | 0.027 | 0.081 | 0.000 | 0.000 | 0.000 | 0.000 | 9.612 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-2) | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 522 | 507 | 99 | 90 | 0 | 0 | 0 | 0 | 1394 |
N.S. |
1 | 0.97 | 0.19 | 0.17 | 0.00 | 0.00 | 0.00 | 0.00 | 2.67 |
time (sec) |
N/A | 1.049 | 0.036 | 0.072 | 0.000 | 0.000 | 0.000 | 0.000 | 9.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-2) | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 563 | 548 | 157 | 134 | 0 | 0 | 0 | 0 | 4002 |
N.S. |
1 | 0.97 | 0.28 | 0.24 | 0.00 | 0.00 | 0.00 | 0.00 | 7.11 |
time (sec) |
N/A | 1.262 | 0.071 | 0.109 | 0.000 | 0.000 | 0.000 | 0.000 | 9.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 645 | 625 | 163 | 133 | 0 | 0 | 0 | 0 | 2663 |
N.S. |
1 | 0.97 | 0.25 | 0.21 | 0.00 | 0.00 | 0.00 | 0.00 | 4.13 |
time (sec) |
N/A | 1.524 | 0.076 | 0.111 | 0.000 | 0.000 | 0.000 | 0.000 | 9.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 395 | 402 | 61 | 56 | 0 | 0 | 70 | 0 | 427 |
N.S. |
1 | 1.02 | 0.15 | 0.14 | 0.00 | 0.00 | 0.18 | 0.00 | 1.08 |
time (sec) |
N/A | 1.360 | 0.013 | 0.056 | 0.000 | 0.000 | 0.121 | 0.000 | 0.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 377 | 379 | 61 | 56 | 0 | 0 | 65 | 0 | 390 |
N.S. |
1 | 1.01 | 0.16 | 0.15 | 0.00 | 0.00 | 0.17 | 0.00 | 1.03 |
time (sec) |
N/A | 1.075 | 0.010 | 0.045 | 0.000 | 0.000 | 0.135 | 0.000 | 9.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 361 | 354 | 61 | 56 | 0 | 0 | 61 | 0 | 276 |
N.S. |
1 | 0.98 | 0.17 | 0.16 | 0.00 | 0.00 | 0.17 | 0.00 | 0.76 |
time (sec) |
N/A | 0.847 | 0.010 | 0.044 | 0.000 | 0.000 | 0.111 | 0.000 | 0.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 241 | 59 | 56 | 0 | 1277 | 48 | 0 | 247 |
N.S. |
1 | 0.97 | 0.24 | 0.23 | 0.00 | 5.15 | 0.19 | 0.00 | 1.00 |
time (sec) |
N/A | 0.651 | 0.009 | 0.046 | 0.000 | 0.929 | 0.083 | 0.000 | 9.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 361 | 354 | 57 | 54 | 0 | 0 | 61 | 0 | 176 |
N.S. |
1 | 0.98 | 0.16 | 0.15 | 0.00 | 0.00 | 0.17 | 0.00 | 0.49 |
time (sec) |
N/A | 0.901 | 0.010 | 0.045 | 0.000 | 0.000 | 0.112 | 0.000 | 9.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 377 | 370 | 62 | 53 | 0 | 0 | 65 | 0 | 306 |
N.S. |
1 | 0.98 | 0.16 | 0.14 | 0.00 | 0.00 | 0.17 | 0.00 | 0.81 |
time (sec) |
N/A | 1.070 | 0.009 | 0.043 | 0.000 | 0.000 | 0.132 | 0.000 | 9.356 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 415 | 401 | 103 | 73 | 0 | 0 | 82 | 0 | 432 |
N.S. |
1 | 0.97 | 0.25 | 0.18 | 0.00 | 0.00 | 0.20 | 0.00 | 1.04 |
time (sec) |
N/A | 1.268 | 0.013 | 0.066 | 0.000 | 0.000 | 0.561 | 0.000 | 9.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 448 | 453 | 109 | 69 | 0 | 0 | 70 | 0 | 340 |
N.S. |
1 | 1.01 | 0.24 | 0.15 | 0.00 | 0.00 | 0.16 | 0.00 | 0.76 |
time (sec) |
N/A | 1.409 | 0.014 | 0.066 | 0.000 | 0.000 | 0.191 | 0.000 | 9.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 1064 | 1012 | 167 | 122 | 0 | 0 | 112 | 0 | 388 |
N.S. |
1 | 0.95 | 0.16 | 0.11 | 0.00 | 0.00 | 0.11 | 0.00 | 0.36 |
time (sec) |
N/A | 2.764 | 0.025 | 0.064 | 0.000 | 0.000 | 0.234 | 0.000 | 9.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 1005 | 954 | 167 | 122 | 0 | 0 | 112 | 0 | 387 |
N.S. |
1 | 0.95 | 0.17 | 0.12 | 0.00 | 0.00 | 0.11 | 0.00 | 0.39 |
time (sec) |
N/A | 2.738 | 0.019 | 0.065 | 0.000 | 0.000 | 0.281 | 0.000 | 9.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 677 | 638 | 167 | 122 | 0 | 0 | 112 | 0 | 388 |
N.S. |
1 | 0.94 | 0.25 | 0.18 | 0.00 | 0.00 | 0.17 | 0.00 | 0.57 |
time (sec) |
N/A | 1.970 | 0.025 | 0.060 | 0.000 | 0.000 | 0.248 | 0.000 | 9.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 682 | 666 | 167 | 122 | 0 | 1445 | 104 | 0 | 299 |
N.S. |
1 | 0.98 | 0.24 | 0.18 | 0.00 | 2.12 | 0.15 | 0.00 | 0.44 |
time (sec) |
N/A | 1.623 | 0.018 | 0.064 | 0.000 | 0.959 | 0.120 | 0.000 | 0.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 850 | 826 | 167 | 122 | 0 | 0 | 112 | 0 | 388 |
N.S. |
1 | 0.97 | 0.20 | 0.14 | 0.00 | 0.00 | 0.13 | 0.00 | 0.46 |
time (sec) |
N/A | 2.009 | 0.024 | 0.063 | 0.000 | 0.000 | 0.246 | 0.000 | 9.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 873 | 855 | 167 | 122 | 0 | 0 | 112 | 0 | 387 |
N.S. |
1 | 0.98 | 0.19 | 0.14 | 0.00 | 0.00 | 0.13 | 0.00 | 0.44 |
time (sec) |
N/A | 2.391 | 0.018 | 0.062 | 0.000 | 0.000 | 0.282 | 0.000 | 9.314 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 986 | 892 | 167 | 122 | 0 | 0 | 112 | 0 | 388 |
N.S. |
1 | 0.90 | 0.17 | 0.12 | 0.00 | 0.00 | 0.11 | 0.00 | 0.39 |
time (sec) |
N/A | 2.463 | 0.027 | 0.059 | 0.000 | 0.000 | 0.235 | 0.000 | 9.090 |
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 | 25 | 25 | 25 | 22 | 21 | 21 | 22 | 21 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.84 | 0.84 | 0.88 | 0.84 | 0.84 |
time (sec) |
N/A | 0.215 | 0.003 | 0.713 | 0.181 | 0.238 | 0.026 | 0.276 | 0.021 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 79 | 96 | 105 | 105 | 88 | 365 | 106 |
N.S. |
1 | 1.00 | 0.84 | 1.02 | 1.12 | 1.12 | 0.94 | 3.88 | 1.13 |
time (sec) |
N/A | 0.313 | 0.024 | 0.771 | 0.182 | 0.259 | 0.144 | 0.282 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 172 | 13 | 13 | 154 | 175 | 13 | 154 |
N.S. |
1 | 1.00 | 11.47 | 0.87 | 0.87 | 10.27 | 11.67 | 0.87 | 10.27 |
time (sec) |
N/A | 0.158 | 0.004 | 0.764 | 0.188 | 0.267 | 0.054 | 0.306 | 8.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 182 | 15 | 156 | 156 | 182 | 156 | 156 |
N.S. |
1 | 1.00 | 11.38 | 0.94 | 9.75 | 9.75 | 11.38 | 9.75 | 9.75 |
time (sec) |
N/A | 0.153 | 0.004 | 0.781 | 0.187 | 0.236 | 0.049 | 0.282 | 8.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 186 | 15 | 156 | 156 | 185 | 156 | 156 |
N.S. |
1 | 1.00 | 11.62 | 0.94 | 9.75 | 9.75 | 11.56 | 9.75 | 9.75 |
time (sec) |
N/A | 0.159 | 0.005 | 0.808 | 0.200 | 0.226 | 0.052 | 0.286 | 9.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 230 | 229 | 262 | 0 | 189 | 229 |
N.S. |
1 | 1.00 | 1.00 | 10.95 | 10.90 | 12.48 | 0.00 | 9.00 | 10.90 |
time (sec) |
N/A | 0.164 | 0.012 | 0.021 | 0.201 | 0.252 | 0.000 | 0.500 | 10.208 |
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 | 10 | 10 | 9 | 9 | 10 | 10 | 8 | 11 | 8 |
N.S. |
1 | 1.00 | 0.90 | 0.90 | 1.00 | 1.00 | 0.80 | 1.10 | 0.80 |
time (sec) |
N/A | 0.142 | 0.004 | 0.724 | 0.192 | 0.261 | 0.056 | 0.276 | 9.154 |
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 | 15 | 17 | 15 | 14 | 13 | 13 | 12 | 18 | 13 |
N.S. |
1 | 1.13 | 1.00 | 0.93 | 0.87 | 0.87 | 0.80 | 1.20 | 0.87 |
time (sec) |
N/A | 0.190 | 0.004 | 0.735 | 0.194 | 0.256 | 0.084 | 0.266 | 8.969 |
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 | 15 | 17 | 15 | 14 | 13 | 13 | 12 | 15 | 13 |
N.S. |
1 | 1.13 | 1.00 | 0.93 | 0.87 | 0.87 | 0.80 | 1.00 | 0.87 |
time (sec) |
N/A | 0.193 | 0.005 | 0.733 | 0.207 | 0.249 | 0.093 | 0.268 | 8.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 17 | 19 | 18 | 47 | 23 | 29 | 0 | 0 |
N.S. |
1 | 1.13 | 1.27 | 1.20 | 3.13 | 1.53 | 1.93 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.006 | 0.817 | 0.199 | 0.274 | 0.537 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 14 | 13 | 13 | 81 | 87 | 13 | 12 |
N.S. |
1 | 1.00 | 0.93 | 0.87 | 0.87 | 5.40 | 5.80 | 0.87 | 0.80 |
time (sec) |
N/A | 0.141 | 0.015 | 0.717 | 0.199 | 0.260 | 0.459 | 0.268 | 10.133 |
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 | 16 | 16 | 16 | 15 | 81 | 81 | 87 | 15 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 5.06 | 5.06 | 5.44 | 0.94 | 0.88 |
time (sec) |
N/A | 0.149 | 0.020 | 0.761 | 0.208 | 0.256 | 0.693 | 0.287 | 1.366 |
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 | 16 | 16 | 16 | 15 | 81 | 81 | 87 | 15 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 5.06 | 5.06 | 5.44 | 0.94 | 0.88 |
time (sec) |
N/A | 0.155 | 0.024 | 0.856 | 0.217 | 0.265 | 0.926 | 0.299 | 12.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 203 | 612 | 143 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 9.67 | 29.14 | 6.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.009 | 0.020 | 0.245 | 0.387 | 0.000 | 0.000 | 0.000 |
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 | 19 | 19 | 17 | 20 | 19 | 26 | 46 | 19 | 23 |
N.S. |
1 | 1.00 | 0.89 | 1.05 | 1.00 | 1.37 | 2.42 | 1.00 | 1.21 |
time (sec) |
N/A | 0.143 | 0.006 | 0.726 | 0.203 | 0.253 | 0.272 | 0.263 | 9.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 97 | 31 | 35 | 32 | 80 | 54 | 45 |
N.S. |
1 | 1.00 | 3.59 | 1.15 | 1.30 | 1.19 | 2.96 | 2.00 | 1.67 |
time (sec) |
N/A | 0.164 | 0.063 | 1.445 | 0.226 | 0.262 | 28.849 | 0.370 | 9.528 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 27 | 116 | 97 | 97 | 35 | 33 | 0 | 54 | 0 |
N.S. |
1 | 4.30 | 3.59 | 3.59 | 1.30 | 1.22 | 0.00 | 2.00 | 0.00 |
time (sec) |
N/A | 0.251 | 0.002 | 4.743 | 0.236 | 0.271 | 0.000 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 99 | 33 | 35 | 34 | 0 | 58 | 49 |
N.S. |
1 | 1.00 | 3.41 | 1.14 | 1.21 | 1.17 | 0.00 | 2.00 | 1.69 |
time (sec) |
N/A | 0.168 | 0.061 | 2.509 | 0.239 | 0.285 | 0.000 | 0.278 | 9.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 108 | 0 | 39 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.00 | 0.00 | 1.08 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 0.172 | 0.000 | 0.276 | 0.296 | 0.000 | 0.000 | 0.000 |
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 | 32 | 32 | 32 | 27 | 26 | 26 | 29 | 26 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.81 | 0.81 | 0.91 | 0.81 | 0.81 |
time (sec) |
N/A | 0.206 | 0.002 | 0.688 | 0.196 | 0.269 | 0.028 | 0.286 | 0.027 |
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 | 12 | 14 | 12 | 11 | 10 | 10 | 8 | 10 | 10 |
N.S. |
1 | 1.17 | 1.00 | 0.92 | 0.83 | 0.83 | 0.67 | 0.83 | 0.83 |
time (sec) |
N/A | 0.198 | 0.002 | 0.706 | 0.203 | 0.268 | 0.028 | 0.289 | 0.011 |
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 | 42 | 42 | 42 | 32 | 31 | 98 | 124 | 31 | 32 |
N.S. |
1 | 1.00 | 1.00 | 0.76 | 0.74 | 2.33 | 2.95 | 0.74 | 0.76 |
time (sec) |
N/A | 0.225 | 0.014 | 0.784 | 0.284 | 0.257 | 0.134 | 0.265 | 9.211 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 23 | 26 | 25 | 38 | 0 | 25 | 54 |
N.S. |
1 | 1.00 | 0.92 | 1.04 | 1.00 | 1.52 | 0.00 | 1.00 | 2.16 |
time (sec) |
N/A | 0.178 | 0.067 | 0.144 | 0.215 | 0.258 | 0.000 | 0.274 | 9.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 21 | 25 | 24 | 36 | 0 | 24 | 46 |
N.S. |
1 | 1.00 | 0.88 | 1.04 | 1.00 | 1.50 | 0.00 | 1.00 | 1.92 |
time (sec) |
N/A | 0.169 | 0.247 | 0.114 | 0.199 | 0.263 | 0.000 | 0.290 | 9.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 24 | 26 | 39 | 35 | 0 | 65 | 51 |
N.S. |
1 | 1.00 | 0.96 | 1.04 | 1.56 | 1.40 | 0.00 | 2.60 | 2.04 |
time (sec) |
N/A | 0.170 | 0.084 | 1.873 | 0.252 | 0.271 | 0.000 | 0.304 | 9.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 21 | 20 | 28 | 0 | 20 | 39 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.40 | 0.00 | 1.00 | 1.95 |
time (sec) |
N/A | 0.160 | 0.028 | 0.099 | 0.193 | 0.254 | 0.000 | 0.263 | 9.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 106 | 20 | 19 | 26 | 63 | 19 | 25 |
N.S. |
1 | 1.00 | 5.58 | 1.05 | 1.00 | 1.37 | 3.32 | 1.00 | 1.32 |
time (sec) |
N/A | 0.157 | 0.079 | 0.795 | 0.203 | 0.260 | 5.275 | 0.271 | 9.206 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 108 | 23 | 31 | 27 | 66 | 39 | 26 |
N.S. |
1 | 1.00 | 4.91 | 1.05 | 1.41 | 1.23 | 3.00 | 1.77 | 1.18 |
time (sec) |
N/A | 0.141 | 0.029 | 1.453 | 0.259 | 0.255 | 23.671 | 0.443 | 9.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 21 | 23 | 22 | 32 | 0 | 22 | 43 |
N.S. |
1 | 1.00 | 0.95 | 1.05 | 1.00 | 1.45 | 0.00 | 1.00 | 1.95 |
time (sec) |
N/A | 0.163 | 0.052 | 0.094 | 0.219 | 0.256 | 0.000 | 0.274 | 9.017 |
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 | 21 | 21 | 19 | 22 | 21 | 30 | 53 | 21 | 27 |
N.S. |
1 | 1.00 | 0.90 | 1.05 | 1.00 | 1.43 | 2.52 | 1.00 | 1.29 |
time (sec) |
N/A | 0.161 | 0.041 | 0.754 | 0.194 | 0.259 | 0.431 | 0.262 | 9.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 22 | 28 | 32 | 31 | 56 | 51 | 28 |
N.S. |
1 | 1.00 | 0.92 | 1.17 | 1.33 | 1.29 | 2.33 | 2.12 | 1.17 |
time (sec) |
N/A | 0.158 | 0.013 | 1.184 | 0.244 | 0.248 | 1.549 | 0.401 | 9.519 |
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 | 22 | 22 | 22 | 23 | 32 | 29 | 53 | 41 | 26 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.45 | 1.32 | 2.41 | 1.86 | 1.18 |
time (sec) |
N/A | 0.140 | 0.011 | 1.158 | 0.229 | 0.257 | 1.528 | 0.272 | 9.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 21 | 23 | 32 | 32 | 0 | 22 | 43 |
N.S. |
1 | 1.00 | 0.95 | 1.05 | 1.45 | 1.45 | 0.00 | 1.00 | 1.95 |
time (sec) |
N/A | 0.156 | 0.002 | 0.097 | 0.238 | 0.291 | 0.000 | 0.300 | 9.013 |
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 | 21 | 21 | 19 | 26 | 32 | 30 | 53 | 21 | 27 |
N.S. |
1 | 1.00 | 0.90 | 1.24 | 1.52 | 1.43 | 2.52 | 1.00 | 1.29 |
time (sec) |
N/A | 0.152 | 0.002 | 0.761 | 0.227 | 0.242 | 0.423 | 0.287 | 9.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 143 | 20 | 19 | 1528 | 1771 | 160 | 1576 |
N.S. |
1 | 1.00 | 6.81 | 0.95 | 0.90 | 72.76 | 84.33 | 7.62 | 75.05 |
time (sec) |
N/A | 0.294 | 0.093 | 0.158 | 0.195 | 0.258 | 0.183 | 0.304 | 9.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 18 | 18 | 441 | 469 | 18 | 418 |
N.S. |
1 | 1.00 | 0.90 | 0.90 | 0.90 | 22.05 | 23.45 | 0.90 | 20.90 |
time (sec) |
N/A | 0.190 | 0.017 | 0.273 | 0.191 | 0.267 | 0.084 | 0.297 | 9.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 18 | 439 | 441 | 441 | 469 | 18 | 418 |
N.S. |
1 | 1.00 | 0.95 | 23.11 | 23.21 | 23.21 | 24.68 | 0.95 | 22.00 |
time (sec) |
N/A | 0.233 | 0.007 | 0.964 | 0.194 | 0.250 | 0.075 | 0.281 | 9.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 127 | 15 | 14 | 456 | 483 | 120 | 438 |
N.S. |
1 | 1.00 | 7.94 | 0.94 | 0.88 | 28.50 | 30.19 | 7.50 | 27.38 |
time (sec) |
N/A | 0.198 | 0.037 | 0.220 | 0.198 | 0.237 | 0.082 | 0.272 | 9.690 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 98 | 14 | 13 | 88 | 97 | 13 | 88 |
N.S. |
1 | 1.00 | 6.53 | 0.93 | 0.87 | 5.87 | 6.47 | 0.87 | 5.87 |
time (sec) |
N/A | 0.154 | 0.004 | 0.749 | 0.199 | 0.237 | 0.042 | 0.277 | 0.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 98 | 89 | 88 | 88 | 97 | 13 | 88 |
N.S. |
1 | 1.00 | 6.12 | 5.56 | 5.50 | 5.50 | 6.06 | 0.81 | 5.50 |
time (sec) |
N/A | 0.142 | 0.002 | 0.768 | 0.200 | 0.247 | 0.034 | 0.331 | 0.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 115 | 17 | 16 | 458 | 484 | 136 | 440 |
N.S. |
1 | 1.00 | 6.39 | 0.94 | 0.89 | 25.44 | 26.89 | 7.56 | 24.44 |
time (sec) |
N/A | 0.191 | 0.037 | 0.099 | 0.202 | 0.250 | 0.078 | 0.291 | 9.575 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 98 | 13 | 15 | 88 | 97 | 15 | 88 |
N.S. |
1 | 1.00 | 5.76 | 0.76 | 0.88 | 5.18 | 5.71 | 0.88 | 5.18 |
time (sec) |
N/A | 0.166 | 0.006 | 0.725 | 0.200 | 0.229 | 0.041 | 0.378 | 9.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 98 | 13 | 88 | 88 | 97 | 15 | 88 |
N.S. |
1 | 1.00 | 7.00 | 0.93 | 6.29 | 6.29 | 6.93 | 1.07 | 6.29 |
time (sec) |
N/A | 0.141 | 0.002 | 0.694 | 0.180 | 0.227 | 0.035 | 0.280 | 0.026 |