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 | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 21 | 32 | 21 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.17 | 1.78 | 1.17 | 0.78 |
time (sec) |
N/A | 0.139 | 0.134 | 4.086 | 0.211 | 0.267 | 0.333 | 0.295 | 5.706 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 25 | 22 | 29 | 29 | 90 | 56 | 18 |
N.S. |
1 | 1.00 | 0.74 | 0.65 | 0.85 | 0.85 | 2.65 | 1.65 | 0.53 |
time (sec) |
N/A | 0.157 | 0.169 | 4.076 | 0.192 | 0.272 | 0.444 | 0.288 | 5.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 57 | 30 | 27 | 43 | 34 | 151 | 94 | 30 |
N.S. |
1 | 1.04 | 0.55 | 0.49 | 0.78 | 0.62 | 2.75 | 1.71 | 0.55 |
time (sec) |
N/A | 0.176 | 0.194 | 4.242 | 0.189 | 0.291 | 0.634 | 0.297 | 5.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 71 | 54 | 15 | 0 | 50 | 31 | 0 | 0 |
N.S. |
1 | 1.16 | 0.89 | 0.25 | 0.00 | 0.82 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 6.448 | 4.998 | 0.000 | 0.105 | 0.598 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 48 | 49 | 15 | 0 | 45 | 31 | 0 | 0 |
N.S. |
1 | 1.12 | 1.14 | 0.35 | 0.00 | 1.05 | 0.72 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 5.443 | 4.673 | 0.000 | 0.099 | 0.465 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 32 | 15 | 0 | 31 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 1.28 | 0.60 | 0.00 | 1.24 | 1.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.154 | 4.760 | 4.421 | 0.000 | 0.100 | 0.399 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 30 | 12 | 0 | 32 | 29 | 0 | 10 |
N.S. |
1 | 1.00 | 1.20 | 0.48 | 0.00 | 1.28 | 1.16 | 0.00 | 0.40 |
time (sec) |
N/A | 0.143 | 4.417 | 4.225 | 0.000 | 0.092 | 0.399 | 0.000 | 5.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 50 | 20 | 15 | 0 | 47 | 34 | 0 | 0 |
N.S. |
1 | 1.11 | 0.44 | 0.33 | 0.00 | 1.04 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 10.007 | 4.256 | 0.000 | 0.078 | 0.497 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 73 | 20 | 15 | 0 | 52 | 37 | 0 | 0 |
N.S. |
1 | 1.16 | 0.32 | 0.24 | 0.00 | 0.83 | 0.59 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 10.008 | 4.658 | 0.000 | 0.093 | 0.609 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 80 | 56 | 15 | 0 | 74 | 31 | 0 | 0 |
N.S. |
1 | 1.13 | 0.79 | 0.21 | 0.00 | 1.04 | 0.44 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 9.294 | 5.138 | 0.000 | 0.090 | 0.717 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 57 | 49 | 15 | 0 | 69 | 31 | 0 | 0 |
N.S. |
1 | 1.08 | 0.92 | 0.28 | 0.00 | 1.30 | 0.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 5.792 | 4.714 | 0.000 | 0.081 | 0.535 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 34 | 31 | 15 | 0 | 64 | 31 | 0 | 0 |
N.S. |
1 | 0.97 | 0.89 | 0.43 | 0.00 | 1.83 | 0.89 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 5.207 | 4.462 | 0.000 | 0.094 | 0.431 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 34 | 20 | 15 | 0 | 44 | 31 | 0 | 0 |
N.S. |
1 | 0.97 | 0.57 | 0.43 | 0.00 | 1.26 | 0.89 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 5.037 | 4.266 | 0.000 | 0.079 | 0.385 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 50 | 18 | 15 | 0 | 55 | 32 | 0 | 13 |
N.S. |
1 | 0.94 | 0.34 | 0.28 | 0.00 | 1.04 | 0.60 | 0.00 | 0.25 |
time (sec) |
N/A | 0.212 | 10.008 | 4.284 | 0.000 | 0.089 | 0.472 | 0.000 | 5.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 73 | 20 | 15 | 0 | 66 | 37 | 0 | 0 |
N.S. |
1 | 1.03 | 0.28 | 0.21 | 0.00 | 0.93 | 0.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.233 | 10.007 | 4.460 | 0.000 | 0.084 | 0.545 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 46 | 51 | 12 | 0 | 51 | 29 | 0 | 10 |
N.S. |
1 | 1.12 | 1.24 | 0.29 | 0.00 | 1.24 | 0.71 | 0.00 | 0.24 |
time (sec) |
N/A | 0.165 | 5.572 | 4.200 | 0.000 | 0.079 | 0.457 | 0.000 | 5.358 |
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 | 40 | 42 | 25 | 21 | 28 | 21 | 39 | 28 | 20 |
N.S. |
1 | 1.05 | 0.62 | 0.52 | 0.70 | 0.52 | 0.98 | 0.70 | 0.50 |
time (sec) |
N/A | 0.175 | 0.026 | 4.109 | 0.200 | 0.246 | 0.198 | 0.264 | 5.534 |
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 | 27 | 29 | 18 | 15 | 19 | 14 | 22 | 19 | 14 |
N.S. |
1 | 1.07 | 0.67 | 0.56 | 0.70 | 0.52 | 0.81 | 0.70 | 0.52 |
time (sec) |
N/A | 0.166 | 0.024 | 4.367 | 0.222 | 0.237 | 0.113 | 0.278 | 5.515 |
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 | 13 | 13 | 13 | 10 | 9 | 9 | 8 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 0.62 | 0.69 | 0.69 |
time (sec) |
N/A | 0.138 | 0.015 | 4.185 | 0.192 | 0.255 | 0.065 | 0.289 | 0.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 25 | 25 | 8 | 25 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 1.79 | 1.79 | 0.57 | 1.79 | 0.71 |
time (sec) |
N/A | 0.153 | 0.001 | 4.098 | 0.195 | 0.252 | 0.465 | 0.290 | 5.365 |
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 | 31 | 29 | 31 | 24 | 37 | 44 | 22 | 37 | 23 |
N.S. |
1 | 0.94 | 1.00 | 0.77 | 1.19 | 1.42 | 0.71 | 1.19 | 0.74 |
time (sec) |
N/A | 0.161 | 0.053 | 4.131 | 0.193 | 0.255 | 1.006 | 0.276 | 5.585 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 29 | 35 | 20 | 58 | 29 | 19 | 29 | 0 |
N.S. |
1 | 1.16 | 1.40 | 0.80 | 2.32 | 1.16 | 0.76 | 1.16 | 0.00 |
time (sec) |
N/A | 0.151 | 0.139 | 4.118 | 0.205 | 0.250 | 0.990 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 18 | 7 | 33 | 16 | 5 | 16 | 6 |
N.S. |
1 | 1.00 | 2.25 | 0.88 | 4.12 | 2.00 | 0.62 | 2.00 | 0.75 |
time (sec) |
N/A | 0.141 | 0.287 | 4.276 | 0.193 | 0.264 | 0.461 | 0.281 | 0.030 |
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 | 16 | 16 | 16 | 13 | 12 | 16 | 12 | 19 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 1.00 | 0.75 | 1.19 | 0.75 |
time (sec) |
N/A | 0.142 | 0.126 | 4.075 | 0.195 | 0.261 | 0.351 | 0.288 | 5.462 |
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 | 33 | 33 | 23 | 20 | 25 | 26 | 26 | 40 | 19 |
N.S. |
1 | 1.00 | 0.70 | 0.61 | 0.76 | 0.79 | 0.79 | 1.21 | 0.58 |
time (sec) |
N/A | 0.159 | 0.153 | 4.099 | 0.210 | 0.261 | 0.460 | 0.287 | 5.518 |
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 | 49 | 54 | 28 | 25 | 37 | 31 | 44 | 57 | 24 |
N.S. |
1 | 1.10 | 0.57 | 0.51 | 0.76 | 0.63 | 0.90 | 1.16 | 0.49 |
time (sec) |
N/A | 0.176 | 0.171 | 4.140 | 0.187 | 0.271 | 0.669 | 0.295 | 5.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 79 | 40 | 17 | 0 | 34 | 29 | 0 | 0 |
N.S. |
1 | 1.07 | 0.54 | 0.23 | 0.00 | 0.46 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 10.022 | 4.454 | 0.000 | 0.090 | 0.434 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 32 | 17 | 0 | 26 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 0.29 | 0.00 | 0.45 | 0.50 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 10.013 | 4.358 | 0.000 | 0.081 | 0.369 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 21 | 14 | 0 | 13 | 27 | 0 | 12 |
N.S. |
1 | 1.00 | 0.49 | 0.33 | 0.00 | 0.30 | 0.63 | 0.00 | 0.28 |
time (sec) |
N/A | 0.152 | 10.058 | 4.123 | 0.000 | 0.076 | 0.325 | 0.000 | 5.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 22 | 17 | 0 | 31 | 32 | 0 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.28 | 0.00 | 0.52 | 0.53 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 10.006 | 4.260 | 0.000 | 0.093 | 0.433 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 81 | 22 | 17 | 0 | 37 | 36 | 0 | 0 |
N.S. |
1 | 1.07 | 0.29 | 0.22 | 0.00 | 0.49 | 0.47 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 10.006 | 4.316 | 0.000 | 0.088 | 0.505 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 145 | 42 | 17 | 0 | 58 | 29 | 0 | 0 |
N.S. |
1 | 1.04 | 0.30 | 0.12 | 0.00 | 0.41 | 0.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 10.023 | 4.420 | 0.000 | 0.096 | 0.506 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 34 | 17 | 0 | 51 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.27 | 0.14 | 0.00 | 0.41 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 10.020 | 4.438 | 0.000 | 0.098 | 0.405 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 22 | 17 | 0 | 44 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.21 | 0.17 | 0.00 | 0.43 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 10.012 | 4.132 | 0.000 | 0.099 | 0.346 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 20 | 17 | 0 | 42 | 31 | 0 | 15 |
N.S. |
1 | 1.00 | 0.17 | 0.15 | 0.00 | 0.36 | 0.26 | 0.00 | 0.13 |
time (sec) |
N/A | 0.225 | 10.007 | 4.250 | 0.000 | 0.094 | 0.378 | 0.000 | 5.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 138 | 22 | 17 | 0 | 53 | 36 | 0 | 0 |
N.S. |
1 | 0.99 | 0.16 | 0.12 | 0.00 | 0.38 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 10.007 | 4.342 | 0.000 | 0.093 | 0.467 | 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 | 38 | 40 | 23 | 20 | 28 | 19 | 39 | 28 | 25 |
N.S. |
1 | 1.05 | 0.61 | 0.53 | 0.74 | 0.50 | 1.03 | 0.74 | 0.66 |
time (sec) |
N/A | 0.173 | 0.030 | 4.101 | 0.274 | 0.284 | 0.313 | 0.291 | 5.898 |
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 | 27 | 27 | 18 | 15 | 19 | 14 | 22 | 19 | 14 |
N.S. |
1 | 1.00 | 0.67 | 0.56 | 0.70 | 0.52 | 0.81 | 0.70 | 0.52 |
time (sec) |
N/A | 0.164 | 0.024 | 4.163 | 0.247 | 0.296 | 0.207 | 0.292 | 5.807 |
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 | 13 | 13 | 13 | 10 | 9 | 9 | 12 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 0.92 | 0.69 | 0.69 |
time (sec) |
N/A | 0.146 | 0.018 | 4.082 | 0.262 | 0.260 | 0.158 | 0.283 | 5.817 |
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 | 28 | 28 | 28 | 21 | 34 | 52 | 87 | 34 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 1.21 | 1.86 | 3.11 | 1.21 | 0.71 |
time (sec) |
N/A | 0.158 | 0.037 | 4.135 | 0.225 | 0.267 | 0.740 | 0.287 | 5.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 47 | 38 | 31 | 53 | 66 | 42 | 53 | 32 |
N.S. |
1 | 1.07 | 0.86 | 0.70 | 1.20 | 1.50 | 0.95 | 1.20 | 0.73 |
time (sec) |
N/A | 0.166 | 0.071 | 4.265 | 0.225 | 0.279 | 1.456 | 0.281 | 5.965 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 46 | 41 | 25 | 73 | 54 | 36 | 34 | 0 |
N.S. |
1 | 1.12 | 1.00 | 0.61 | 1.78 | 1.32 | 0.88 | 0.83 | 0.00 |
time (sec) |
N/A | 0.180 | 0.181 | 4.253 | 0.247 | 0.269 | 1.500 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 23 | 35 | 20 | 45 | 45 | 19 | 29 | 0 |
N.S. |
1 | 0.92 | 1.40 | 0.80 | 1.80 | 1.80 | 0.76 | 1.16 | 0.00 |
time (sec) |
N/A | 0.157 | 0.143 | 4.099 | 0.248 | 0.266 | 0.738 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 25 | 12 | 12 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 1.56 | 0.75 | 0.75 | 0.75 |
time (sec) |
N/A | 0.145 | 0.118 | 4.103 | 0.213 | 0.266 | 0.315 | 0.288 | 5.364 |
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 | 31 | 31 | 23 | 20 | 25 | 37 | 42 | 32 | 17 |
N.S. |
1 | 1.00 | 0.74 | 0.65 | 0.81 | 1.19 | 1.35 | 1.03 | 0.55 |
time (sec) |
N/A | 0.160 | 0.327 | 4.089 | 0.204 | 0.263 | 0.430 | 0.314 | 5.550 |
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 | 49 | 52 | 28 | 25 | 36 | 42 | 70 | 70 | 28 |
N.S. |
1 | 1.06 | 0.57 | 0.51 | 0.73 | 0.86 | 1.43 | 1.43 | 0.57 |
time (sec) |
N/A | 0.173 | 0.176 | 4.216 | 0.190 | 0.266 | 0.605 | 0.289 | 5.732 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 100 | 52 | 17 | 0 | 55 | 29 | 0 | 0 |
N.S. |
1 | 1.11 | 0.58 | 0.19 | 0.00 | 0.61 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 5.639 | 4.576 | 0.000 | 0.084 | 0.579 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 79 | 47 | 17 | 0 | 50 | 29 | 0 | 0 |
N.S. |
1 | 1.07 | 0.64 | 0.23 | 0.00 | 0.68 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 5.098 | 4.298 | 0.000 | 0.087 | 0.451 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 32 | 17 | 0 | 39 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 0.29 | 0.00 | 0.67 | 0.50 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 4.564 | 4.351 | 0.000 | 0.084 | 0.371 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 30 | 14 | 0 | 38 | 27 | 0 | 12 |
N.S. |
1 | 1.00 | 0.52 | 0.24 | 0.00 | 0.66 | 0.47 | 0.00 | 0.21 |
time (sec) |
N/A | 0.174 | 4.174 | 4.311 | 0.000 | 0.089 | 0.386 | 0.000 | 5.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 81 | 22 | 17 | 0 | 51 | 32 | 0 | 0 |
N.S. |
1 | 1.07 | 0.29 | 0.22 | 0.00 | 0.67 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 10.006 | 4.191 | 0.000 | 0.084 | 0.471 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 102 | 22 | 17 | 0 | 57 | 36 | 0 | 0 |
N.S. |
1 | 1.11 | 0.24 | 0.18 | 0.00 | 0.62 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 10.008 | 4.328 | 0.000 | 0.083 | 0.595 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 166 | 54 | 17 | 0 | 84 | 29 | 0 | 0 |
N.S. |
1 | 1.06 | 0.35 | 0.11 | 0.00 | 0.54 | 0.19 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 7.057 | 4.563 | 0.000 | 0.088 | 0.693 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 145 | 47 | 17 | 0 | 79 | 29 | 0 | 0 |
N.S. |
1 | 1.04 | 0.34 | 0.12 | 0.00 | 0.56 | 0.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 5.192 | 4.464 | 0.000 | 0.089 | 0.519 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 31 | 17 | 0 | 74 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.25 | 0.14 | 0.00 | 0.60 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 4.903 | 4.340 | 0.000 | 0.087 | 0.408 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 22 | 17 | 0 | 59 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.18 | 0.14 | 0.00 | 0.48 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 4.568 | 4.259 | 0.000 | 0.092 | 0.357 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 138 | 20 | 17 | 0 | 69 | 31 | 0 | 15 |
N.S. |
1 | 0.99 | 0.14 | 0.12 | 0.00 | 0.49 | 0.22 | 0.00 | 0.11 |
time (sec) |
N/A | 0.255 | 10.008 | 4.383 | 0.000 | 0.093 | 0.442 | 0.000 | 5.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 159 | 22 | 17 | 0 | 81 | 36 | 0 | 0 |
N.S. |
1 | 1.02 | 0.14 | 0.11 | 0.00 | 0.52 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.274 | 10.006 | 4.320 | 0.000 | 0.099 | 0.539 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 77 | 49 | 14 | 0 | 58 | 27 | 0 | 12 |
N.S. |
1 | 1.07 | 0.68 | 0.19 | 0.00 | 0.81 | 0.38 | 0.00 | 0.17 |
time (sec) |
N/A | 0.178 | 5.190 | 4.209 | 0.000 | 0.101 | 0.441 | 0.000 | 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 | 29 | 33 | 22 | 17 | 23 | 16 | 26 | 23 | 16 |
N.S. |
1 | 1.14 | 0.76 | 0.59 | 0.79 | 0.55 | 0.90 | 0.79 | 0.55 |
time (sec) |
N/A | 0.170 | 0.023 | 4.142 | 0.213 | 0.286 | 0.120 | 0.279 | 5.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 33 | 43 | 24 | 44 | 33 | 78 | 23 | 0 |
N.S. |
1 | 1.14 | 1.48 | 0.83 | 1.52 | 1.14 | 2.69 | 0.79 | 0.00 |
time (sec) |
N/A | 0.163 | 0.141 | 4.084 | 0.313 | 0.257 | 1.052 | 0.283 | 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 | 15 | 15 | 15 | 12 | 11 | 11 | 10 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.73 | 0.67 | 0.73 | 0.73 |
time (sec) |
N/A | 0.143 | 0.014 | 4.092 | 0.195 | 0.251 | 0.066 | 0.279 | 5.593 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 26 | 9 | 16 | 18 | 22 | 8 | 16 |
N.S. |
1 | 1.00 | 2.17 | 0.75 | 1.33 | 1.50 | 1.83 | 0.67 | 1.33 |
time (sec) |
N/A | 0.144 | 0.112 | 4.133 | 0.280 | 0.266 | 0.481 | 0.298 | 5.519 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 15 | 29 | 29 | 26 | 31 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 1.45 | 1.45 | 1.30 | 1.55 | 0.70 |
time (sec) |
N/A | 0.161 | 0.025 | 4.233 | 0.197 | 0.261 | 0.505 | 0.269 | 5.625 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 14 | 34 | 35 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 1.89 | 1.94 | 0.78 |
time (sec) |
N/A | 0.154 | 0.131 | 4.286 | 0.201 | 0.272 | 0.358 | 0.288 | 5.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 43 | 39 | 30 | 43 | 50 | 75 | 45 | 29 |
N.S. |
1 | 1.10 | 1.00 | 0.77 | 1.10 | 1.28 | 1.92 | 1.15 | 0.74 |
time (sec) |
N/A | 0.164 | 0.049 | 4.214 | 0.194 | 0.252 | 1.082 | 0.290 | 5.491 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 25 | 20 | 29 | 19 | 66 | 73 | 19 |
N.S. |
1 | 1.00 | 0.68 | 0.54 | 0.78 | 0.51 | 1.78 | 1.97 | 0.51 |
time (sec) |
N/A | 0.158 | 0.165 | 4.158 | 0.199 | 0.263 | 0.487 | 0.283 | 5.473 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 44 | 38 | 17 | 0 | 44 | 32 | 0 | 0 |
N.S. |
1 | 1.02 | 0.88 | 0.40 | 0.00 | 1.02 | 0.74 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 10.017 | 4.551 | 0.000 | 0.083 | 0.427 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 36 | 17 | 0 | 23 | 32 | 0 | 0 |
N.S. |
1 | 1.00 | 1.24 | 0.59 | 0.00 | 0.79 | 1.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 10.013 | 4.478 | 0.000 | 0.086 | 0.394 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 24 | 17 | 0 | 38 | 32 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 0.81 | 0.00 | 1.81 | 1.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.177 | 10.010 | 4.328 | 0.000 | 0.089 | 0.372 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 15 | 0 | 8 | 31 | 0 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.25 | 0.00 | 0.67 | 2.58 | 0.00 | 1.08 |
time (sec) |
N/A | 0.135 | 10.039 | 4.175 | 0.000 | 0.076 | 0.353 | 0.000 | 5.374 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 44 | 24 | 17 | 0 | 34 | 34 | 0 | 33 |
N.S. |
1 | 1.02 | 0.56 | 0.40 | 0.00 | 0.79 | 0.79 | 0.00 | 0.77 |
time (sec) |
N/A | 0.208 | 10.007 | 4.468 | 0.000 | 0.082 | 0.410 | 0.000 | 5.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 24 | 17 | 0 | 27 | 36 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.55 | 0.00 | 0.87 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 10.008 | 4.477 | 0.000 | 0.079 | 0.457 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 33 | 16 | 22 | 16 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 1.83 | 0.89 | 1.22 | 0.89 | 0.78 |
time (sec) |
N/A | 0.156 | 0.235 | 4.261 | 0.223 | 0.284 | 0.488 | 0.293 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 18 | 9 | 33 | 16 | 7 | 16 | 8 |
N.S. |
1 | 1.00 | 1.50 | 0.75 | 2.75 | 1.33 | 0.58 | 1.33 | 0.67 |
time (sec) |
N/A | 0.152 | 0.223 | 4.115 | 0.223 | 0.281 | 0.450 | 0.284 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 24 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 1.71 | 0.71 | 0.71 |
time (sec) |
N/A | 0.154 | 0.004 | 4.341 | 0.352 | 0.273 | 0.493 | 0.274 | 0.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 44 | 33 | 0 | 19 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.46 | 0.00 | 0.26 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 10.020 | 4.414 | 0.000 | 0.087 | 0.382 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 25 | 30 | 0 | 6 | 26 | 0 | 26 |
N.S. |
1 | 1.00 | 0.46 | 0.56 | 0.00 | 0.11 | 0.48 | 0.00 | 0.48 |
time (sec) |
N/A | 0.158 | 10.041 | 4.252 | 0.000 | 0.089 | 0.356 | 0.000 | 5.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 40 | 33 | 0 | 22 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.45 | 0.00 | 0.30 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 10.011 | 4.420 | 0.000 | 0.082 | 0.462 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 150 | 147 | 46 | 33 | 0 | 37 | 27 | 0 | 0 |
N.S. |
1 | 0.98 | 0.31 | 0.22 | 0.00 | 0.25 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 10.035 | 4.610 | 0.000 | 0.093 | 0.424 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 40 | 33 | 0 | 29 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.32 | 0.26 | 0.00 | 0.23 | 0.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 10.016 | 4.315 | 0.000 | 0.084 | 0.359 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 38 | 33 | 0 | 26 | 29 | 0 | 18 |
N.S. |
1 | 1.00 | 0.27 | 0.24 | 0.00 | 0.19 | 0.21 | 0.00 | 0.13 |
time (sec) |
N/A | 0.231 | 10.012 | 4.368 | 0.000 | 0.090 | 0.392 | 0.000 | 5.538 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 29 | 20 | 0 | 68 | 39 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 0.42 | 0.00 | 1.42 | 0.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 10.020 | 4.338 | 0.000 | 0.091 | 0.408 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 30 | 21 | 0 | 96 | 39 | 0 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.39 | 0.00 | 1.78 | 0.72 | 0.00 | 0.00 |
time (sec) |
N/A | 0.223 | 10.011 | 4.367 | 0.000 | 0.196 | 0.421 | 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 | 27 | 31 | 20 | 17 | 19 | 19 | 41 | 19 | 16 |
N.S. |
1 | 1.15 | 0.74 | 0.63 | 0.70 | 0.70 | 1.52 | 0.70 | 0.59 |
time (sec) |
N/A | 0.169 | 0.025 | 4.157 | 0.205 | 0.259 | 0.137 | 0.309 | 5.493 |
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 | 13 | 13 | 13 | 10 | 9 | 9 | 12 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 0.92 | 0.69 | 0.69 |
time (sec) |
N/A | 0.143 | 0.018 | 4.041 | 0.196 | 0.264 | 0.165 | 0.279 | 5.459 |
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 | 13 | 13 | 13 | 10 | 9 | 9 | 10 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 0.77 | 0.69 | 0.69 |
time (sec) |
N/A | 0.147 | 0.015 | 4.140 | 0.198 | 0.281 | 0.064 | 0.288 | 5.461 |
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 | 101 | 105 | 61 | 58 | 81 | 68 | 134 | 71 | 66 |
N.S. |
1 | 1.04 | 0.60 | 0.57 | 0.80 | 0.67 | 1.33 | 0.70 | 0.65 |
time (sec) |
N/A | 0.229 | 0.067 | 4.177 | 0.200 | 0.260 | 0.962 | 0.279 | 5.477 |
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 | 80 | 84 | 61 | 47 | 64 | 57 | 110 | 57 | 55 |
N.S. |
1 | 1.05 | 0.76 | 0.59 | 0.80 | 0.71 | 1.38 | 0.71 | 0.69 |
time (sec) |
N/A | 0.212 | 0.049 | 4.198 | 0.194 | 0.273 | 0.652 | 0.279 | 5.525 |
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 | 59 | 63 | 39 | 36 | 47 | 46 | 87 | 43 | 44 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.78 | 1.47 | 0.73 | 0.75 |
time (sec) |
N/A | 0.197 | 0.040 | 4.121 | 0.207 | 0.281 | 0.424 | 0.275 | 5.610 |
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 | 38 | 42 | 38 | 25 | 30 | 34 | 63 | 29 | 33 |
N.S. |
1 | 1.11 | 1.00 | 0.66 | 0.79 | 0.89 | 1.66 | 0.76 | 0.87 |
time (sec) |
N/A | 0.180 | 0.036 | 4.269 | 0.201 | 0.264 | 0.286 | 0.286 | 5.726 |
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 | 18 | 18 | 18 | 15 | 14 | 14 | 39 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 2.17 | 0.78 | 0.78 |
time (sec) |
N/A | 0.148 | 0.018 | 4.319 | 0.192 | 0.282 | 0.111 | 0.270 | 5.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 81 | 66 | 71 | 66 | 92 | 42 | 183 | 48 |
N.S. |
1 | 1.23 | 1.00 | 1.08 | 1.00 | 1.39 | 0.64 | 2.77 | 0.73 |
time (sec) |
N/A | 0.199 | 0.091 | 4.768 | 0.282 | 0.265 | 0.631 | 0.288 | 5.805 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 77 | 75 | 85 | 73 | 171 | 41 | 207 | 55 |
N.S. |
1 | 1.03 | 1.00 | 1.13 | 0.97 | 2.28 | 0.55 | 2.76 | 0.73 |
time (sec) |
N/A | 0.192 | 0.169 | 4.459 | 0.271 | 0.333 | 0.733 | 0.292 | 5.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 110 | 92 | 108 | 129 | 209 | 41 | 243 | 79 |
N.S. |
1 | 1.09 | 0.91 | 1.07 | 1.28 | 2.07 | 0.41 | 2.41 | 0.78 |
time (sec) |
N/A | 0.212 | 0.209 | 4.330 | 0.276 | 0.270 | 1.259 | 0.284 | 5.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 140 | 95 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.12 | 0.76 | 0.00 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 7.524 | 0.000 | 0.000 | 0.000 | 0.636 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 110 | 64 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.09 | 0.63 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.226 | 7.291 | 0.000 | 0.000 | 0.000 | 0.539 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 83 | 51 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.05 | 0.65 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 7.147 | 0.000 | 0.000 | 0.000 | 0.488 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 78 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 0.99 | 0.65 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 10.017 | 0.000 | 0.000 | 0.000 | 0.534 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 106 | 51 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.05 | 0.50 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 10.017 | 0.000 | 0.000 | 0.000 | 0.620 | 0.000 | 0.000 |