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 | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 24 | 24 | 24 | 23 | 23 | 20 | 23 | 23 |
N.S. |
1 | 1.14 | 1.14 | 1.14 | 1.10 | 1.10 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.147 | 0.006 | 0.028 | 0.172 | 0.255 | 0.044 | 0.277 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 31 | 69 | 105 | 70 | 63 | 0 | 33 |
N.S. |
1 | 0.00 | 1.03 | 2.30 | 3.50 | 2.33 | 2.10 | 0.00 | 1.10 |
time (sec) |
N/A | 0.000 | 0.100 | 7.384 | 0.229 | 0.254 | 0.614 | 0.000 | 12.863 |
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 | 42 | 22 | 23 | 21 | 20 | 26 | 22 | 20 |
N.S. |
1 | 1.35 | 0.71 | 0.74 | 0.68 | 0.65 | 0.84 | 0.71 | 0.65 |
time (sec) |
N/A | 0.251 | 0.086 | 0.150 | 0.180 | 0.234 | 0.114 | 0.294 | 0.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 20 | 16 | 15 | 15 | 15 | 15 | 17 |
N.S. |
1 | 0.00 | 0.91 | 0.73 | 0.68 | 0.68 | 0.68 | 0.68 | 0.77 |
time (sec) |
N/A | 0.000 | 0.344 | 0.084 | 0.219 | 0.259 | 0.083 | 0.280 | 13.570 |
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 | 17 | 23 | 15 | 15 | 14 | 14 | 12 | 16 | 14 |
N.S. |
1 | 1.35 | 0.88 | 0.88 | 0.82 | 0.82 | 0.71 | 0.94 | 0.82 |
time (sec) |
N/A | 0.184 | 0.008 | 0.216 | 0.178 | 0.242 | 0.089 | 0.273 | 0.111 |
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 | 24 | 24 | 25 | 23 | 26 | 20 | 23 | 23 |
N.S. |
1 | 0.96 | 0.96 | 1.00 | 0.92 | 1.04 | 0.80 | 0.92 | 0.92 |
time (sec) |
N/A | 0.733 | 0.770 | 0.514 | 0.290 | 0.250 | 0.105 | 0.291 | 0.411 |
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 | 17 | 23 | 30 | 21 | 20 | 20 | 24 | 20 | 15 |
N.S. |
1 | 1.35 | 1.76 | 1.24 | 1.18 | 1.18 | 1.41 | 1.18 | 0.88 |
time (sec) |
N/A | 0.148 | 0.004 | 0.267 | 0.187 | 0.266 | 0.022 | 0.305 | 0.065 |
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 | 24 | 45 | 23 | 21 | 35 | 25 | 20 | 33 | 21 |
N.S. |
1 | 1.88 | 0.96 | 0.88 | 1.46 | 1.04 | 0.83 | 1.38 | 0.88 |
time (sec) |
N/A | 0.397 | 0.123 | 0.188 | 0.221 | 0.252 | 0.119 | 0.279 | 13.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 26 | 34 | 83 | 73 | 66 | 87 | 434 |
N.S. |
1 | 0.00 | 1.24 | 1.62 | 3.95 | 3.48 | 3.14 | 4.14 | 20.67 |
time (sec) |
N/A | 0.000 | 0.070 | 0.337 | 0.320 | 0.269 | 0.141 | 0.310 | 13.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 34 | 42 | 33 | 33 | 32 | 31 | 0 | 32 |
N.S. |
1 | 1.42 | 1.75 | 1.38 | 1.38 | 1.33 | 1.29 | 0.00 | 1.33 |
time (sec) |
N/A | 0.556 | 0.071 | 1.010 | 0.316 | 0.269 | 0.362 | 0.000 | 13.458 |
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 | 14 | 11 | 12 | 11 | 10 | 10 | 12 | 11 | 10 |
N.S. |
1 | 0.79 | 0.86 | 0.79 | 0.71 | 0.71 | 0.86 | 0.79 | 0.71 |
time (sec) |
N/A | 0.140 | 0.003 | 0.082 | 0.174 | 0.262 | 0.043 | 0.276 | 12.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 79 | 46 | 37 | 35 | 53 | 31 | 37 | 35 |
N.S. |
1 | 2.55 | 1.48 | 1.19 | 1.13 | 1.71 | 1.00 | 1.19 | 1.13 |
time (sec) |
N/A | 0.404 | 0.053 | 0.219 | 0.185 | 0.254 | 0.407 | 0.273 | 12.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 64 | 17 | 24 | 93 | 24 | 31 | 40 | 17 |
N.S. |
1 | 3.37 | 0.89 | 1.26 | 4.89 | 1.26 | 1.63 | 2.11 | 0.89 |
time (sec) |
N/A | 0.605 | 0.056 | 0.072 | 0.227 | 0.247 | 0.091 | 0.281 | 12.341 |
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 | 19 | 18 | 16 | 14 | 13 | 17 | 10 | 17 | 13 |
N.S. |
1 | 0.95 | 0.84 | 0.74 | 0.68 | 0.89 | 0.53 | 0.89 | 0.68 |
time (sec) |
N/A | 0.168 | 0.009 | 0.040 | 0.198 | 0.251 | 0.050 | 0.270 | 12.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 16 | 14 | 12 | 19 | 11 | 12 | 11 | 11 |
N.S. |
1 | 1.14 | 1.00 | 0.86 | 1.36 | 0.79 | 0.86 | 0.79 | 0.79 |
time (sec) |
N/A | 0.174 | 0.088 | 0.160 | 0.216 | 0.246 | 0.046 | 0.287 | 0.063 |
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 | 34 | 28 | 28 | 26 | 36 | 31 | 22 | 33 | 35 |
N.S. |
1 | 0.82 | 0.82 | 0.76 | 1.06 | 0.91 | 0.65 | 0.97 | 1.03 |
time (sec) |
N/A | 0.625 | 0.072 | 0.113 | 0.232 | 0.245 | 0.080 | 0.290 | 0.193 |
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 | 18 | 27 | 27 | 23 | 23 | 23 | 20 | 27 | 18 |
N.S. |
1 | 1.50 | 1.50 | 1.28 | 1.28 | 1.28 | 1.11 | 1.50 | 1.00 |
time (sec) |
N/A | 0.180 | 0.008 | 0.054 | 0.175 | 0.248 | 0.050 | 0.296 | 13.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 0 | 51 | 169 | 90 | 171 | 170 | 1565 | 1582 |
N.S. |
1 | 0.00 | 1.34 | 4.45 | 2.37 | 4.50 | 4.47 | 41.18 | 41.63 |
time (sec) |
N/A | 0.000 | 0.206 | 0.016 | 4.516 | 0.275 | 2.931 | 0.589 | 14.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 27 | 28 | 27 | 27 | 20 | 0 | 24 |
N.S. |
1 | 0.00 | 1.00 | 1.04 | 1.00 | 1.00 | 0.74 | 0.00 | 0.89 |
time (sec) |
N/A | 0.000 | 0.136 | 6.093 | 0.246 | 0.245 | 0.235 | 0.000 | 13.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 27 | 72 | 47 | 47 | 22 | 27 | 0 |
N.S. |
1 | 0.00 | 1.00 | 2.67 | 1.74 | 1.74 | 0.81 | 1.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.114 | 22.316 | 0.246 | 0.265 | 0.132 | 0.493 | 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 | 30 | 32 | 27 | 23 | 20 | 30 | 19 | 20 | 34 |
N.S. |
1 | 1.07 | 0.90 | 0.77 | 0.67 | 1.00 | 0.63 | 0.67 | 1.13 |
time (sec) |
N/A | 0.268 | 0.023 | 0.064 | 0.177 | 0.243 | 0.173 | 0.283 | 13.419 |
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 | 9 | 9 | 10 | 9 | 9 | 7 | 9 | 9 |
N.S. |
1 | 0.90 | 0.90 | 1.00 | 0.90 | 0.90 | 0.70 | 0.90 | 0.90 |
time (sec) |
N/A | 0.235 | 0.002 | 0.025 | 0.178 | 0.251 | 0.042 | 0.296 | 13.050 |
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 | 22 | 22 | 22 | 21 | 20 | 12 | 10 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.91 | 0.55 | 0.45 | 0.68 | 0.68 |
time (sec) |
N/A | 0.144 | 0.005 | 0.028 | 0.183 | 0.247 | 0.033 | 0.281 | 0.109 |
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 | 28 | 56 | 34 | 50 | 49 | 46 | 46 | 46 | 50 |
N.S. |
1 | 2.00 | 1.21 | 1.79 | 1.75 | 1.64 | 1.64 | 1.64 | 1.79 |
time (sec) |
N/A | 0.269 | 1.753 | 0.171 | 0.191 | 0.252 | 0.074 | 0.295 | 0.080 |
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 | 14 | 14 | 14 | 9 | 8 | 8 | 12 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.64 | 0.57 | 0.57 | 0.86 | 0.57 | 0.57 |
time (sec) |
N/A | 0.125 | 0.000 | 0.017 | 0.179 | 0.254 | 0.016 | 0.274 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 44 | 38 | 51 | 36 | 44 | 48 | 0 | 36 |
N.S. |
1 | 1.52 | 1.31 | 1.76 | 1.24 | 1.52 | 1.66 | 0.00 | 1.24 |
time (sec) |
N/A | 1.138 | 5.068 | 0.530 | 0.349 | 0.256 | 0.219 | 0.000 | 14.178 |
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 | 21 | 17 | 17 | 17 | 18 | 18 | 17 | 19 | 18 |
N.S. |
1 | 0.81 | 0.81 | 0.81 | 0.86 | 0.86 | 0.81 | 0.90 | 0.86 |
time (sec) |
N/A | 0.137 | 0.006 | 0.350 | 0.178 | 0.250 | 0.106 | 0.290 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 20 | 33 | 30 | 31 | 32 | 33 | 32 |
N.S. |
1 | 0.00 | 1.00 | 1.65 | 1.50 | 1.55 | 1.60 | 1.65 | 1.60 |
time (sec) |
N/A | 0.000 | 0.305 | 0.307 | 0.299 | 0.253 | 0.136 | 0.593 | 13.095 |
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 | 9 | 6 | 6 | 7 | 6 | 6 | 5 | 7 | 6 |
N.S. |
1 | 0.67 | 0.67 | 0.78 | 0.67 | 0.67 | 0.56 | 0.78 | 0.67 |
time (sec) |
N/A | 0.132 | 0.001 | 0.031 | 0.179 | 0.256 | 0.030 | 0.284 | 0.016 |
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 | 23 | 16 | 16 | 16 | 15 | 26 | 19 | 16 | 23 |
N.S. |
1 | 0.70 | 0.70 | 0.70 | 0.65 | 1.13 | 0.83 | 0.70 | 1.00 |
time (sec) |
N/A | 0.203 | 0.229 | 0.169 | 0.181 | 0.259 | 0.091 | 0.307 | 13.486 |
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 | 24 | 17 | 17 | 16 | 15 | 27 | 10 | 15 | 15 |
N.S. |
1 | 0.71 | 0.71 | 0.67 | 0.62 | 1.12 | 0.42 | 0.62 | 0.62 |
time (sec) |
N/A | 0.349 | 0.039 | 0.056 | 0.217 | 0.248 | 0.061 | 0.311 | 0.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 22 | 22 | 20 | 20 | 20 | 37 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 0.91 | 0.91 | 0.91 | 1.68 | 0.00 |
time (sec) |
N/A | 0.000 | 0.506 | 1.814 | 0.270 | 0.253 | 0.481 | 0.351 | 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 | 23 | 31 | 30 | 30 | 32 | 31 | 22 | 31 | 29 |
N.S. |
1 | 1.35 | 1.30 | 1.30 | 1.39 | 1.35 | 0.96 | 1.35 | 1.26 |
time (sec) |
N/A | 15.146 | 0.049 | 0.168 | 0.178 | 0.248 | 0.094 | 0.320 | 13.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 18 | 17 | 21 | 17 | 19 | 21 | 21 |
N.S. |
1 | 0.00 | 0.86 | 0.81 | 1.00 | 0.81 | 0.90 | 1.00 | 1.00 |
time (sec) |
N/A | 0.000 | 0.148 | 0.260 | 0.266 | 0.269 | 0.270 | 0.333 | 13.409 |
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 | 14 | 14 | 18 | 17 | 15 | 14 | 32 | 14 |
N.S. |
1 | 0.54 | 0.54 | 0.69 | 0.65 | 0.58 | 0.54 | 1.23 | 0.54 |
time (sec) |
N/A | 0.159 | 0.006 | 0.143 | 0.192 | 0.252 | 0.058 | 0.270 | 13.604 |
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 | 11 | 22 | 14 | 15 | 14 | 14 | 14 | 14 | 8 |
N.S. |
1 | 2.00 | 1.27 | 1.36 | 1.27 | 1.27 | 1.27 | 1.27 | 0.73 |
time (sec) |
N/A | 0.153 | 0.004 | 0.041 | 0.186 | 0.253 | 0.040 | 0.286 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | B | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 40 | 44 | 50 | 50 | 56 | 61 | 85 |
N.S. |
1 | 0.00 | 1.29 | 1.42 | 1.61 | 1.61 | 1.81 | 1.97 | 2.74 |
time (sec) |
N/A | 0.000 | 0.049 | 0.349 | 0.291 | 0.262 | 0.130 | 0.271 | 13.596 |
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 | 26 | 37 | 23 | 28 | 36 | 55 | 27 | 36 | 22 |
N.S. |
1 | 1.42 | 0.88 | 1.08 | 1.38 | 2.12 | 1.04 | 1.38 | 0.85 |
time (sec) |
N/A | 0.270 | 0.082 | 0.190 | 0.206 | 0.245 | 0.139 | 0.291 | 13.326 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 22 | 21 | 20 | 20 | 17 | 27 | 0 |
N.S. |
1 | 0.00 | 1.05 | 1.00 | 0.95 | 0.95 | 0.81 | 1.29 | 0.00 |
time (sec) |
N/A | 0.000 | 0.348 | 0.124 | 0.263 | 0.261 | 0.090 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 37 | 48 | 62 | 56 | 75 | 1267 | 0 |
N.S. |
1 | 0.00 | 0.92 | 1.20 | 1.55 | 1.40 | 1.88 | 31.68 | 0.00 |
time (sec) |
N/A | 0.000 | 0.183 | 48.683 | 0.347 | 0.276 | 0.274 | 157.089 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 0 | 68 | 64 | 81 | 63 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.94 | 1.83 | 2.31 | 1.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.242 | 0.072 | 0.339 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 1452 | 39 | 39 | 410 | 61 | 42 | 75 | 38 |
N.S. |
1 | 48.40 | 1.30 | 1.30 | 13.67 | 2.03 | 1.40 | 2.50 | 1.27 |
time (sec) |
N/A | 3.438 | 0.905 | 0.205 | 0.292 | 0.257 | 0.149 | 0.282 | 0.495 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | A | A | F(-1) | A | B |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 28 | 26 | 0 | 0 | 35 | 30 | 0 | 49 | 36 |
N.S. |
1 | 0.93 | 0.00 | 0.00 | 1.25 | 1.07 | 0.00 | 1.75 | 1.29 |
time (sec) |
N/A | 1.889 | 0.000 | 0.000 | 0.415 | 0.261 | 0.000 | 0.886 | 13.473 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 45 | 48 | 50 | 37 | 46 | 0 | 64 |
N.S. |
1 | 0.00 | 1.32 | 1.41 | 1.47 | 1.09 | 1.35 | 0.00 | 1.88 |
time (sec) |
N/A | 0.000 | 5.154 | 0.608 | 0.241 | 0.270 | 0.142 | 0.000 | 12.346 |
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 | 23 | 25 | 15 | 19 | 28 | 15 | 14 | 17 |
N.S. |
1 | 0.92 | 1.00 | 0.60 | 0.76 | 1.12 | 0.60 | 0.56 | 0.68 |
time (sec) |
N/A | 0.226 | 0.187 | 0.095 | 0.186 | 0.250 | 0.049 | 0.292 | 12.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 19 | 15 | 16 | 18 | 15 | 14 | 14 |
N.S. |
1 | 0.00 | 1.12 | 0.88 | 0.94 | 1.06 | 0.88 | 0.82 | 0.82 |
time (sec) |
N/A | 0.000 | 0.102 | 1.660 | 0.303 | 0.271 | 0.078 | 0.278 | 13.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 32 | 41 | 45 | 40 | 37 | 45 | 40 |
N.S. |
1 | 0.00 | 1.10 | 1.41 | 1.55 | 1.38 | 1.28 | 1.55 | 1.38 |
time (sec) |
N/A | 0.000 | 0.083 | 6.365 | 0.221 | 0.273 | 0.231 | 0.343 | 13.388 |
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 | 32 | 22 | 22 | 39 | 20 | 20 | 20 | 28 |
N.S. |
1 | 1.10 | 0.76 | 0.76 | 1.34 | 0.69 | 0.69 | 0.69 | 0.97 |
time (sec) |
N/A | 0.261 | 0.185 | 0.047 | 0.176 | 0.261 | 0.067 | 0.273 | 0.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | C | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 21 | 26 | 124 | 24 | 22 | 525 | 843 |
N.S. |
1 | 0.00 | 0.88 | 1.08 | 5.17 | 1.00 | 0.92 | 21.88 | 35.12 |
time (sec) |
N/A | 0.000 | 0.359 | 24.990 | 0.432 | 0.258 | 0.153 | 0.382 | 14.006 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | A | A | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 22 | 21 | 23 | 20 | 27 | 27 |
N.S. |
1 | 0.00 | 0.00 | 0.92 | 0.88 | 0.96 | 0.83 | 1.12 | 1.12 |
time (sec) |
N/A | 0.000 | 0.000 | 0.167 | 0.331 | 0.280 | 0.104 | 0.351 | 13.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 184 | 344 | 407 | 256 | 286 | 407 | 453 |
N.S. |
1 | 0.00 | 6.13 | 11.47 | 13.57 | 8.53 | 9.53 | 13.57 | 15.10 |
time (sec) |
N/A | 0.000 | 1.579 | 0.232 | 1.859 | 0.300 | 1.757 | 7.294 | 14.186 |
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 | 28 | 29 | 29 | 27 | 34 | 29 | 31 | 31 | 30 |
N.S. |
1 | 1.04 | 1.04 | 0.96 | 1.21 | 1.04 | 1.11 | 1.11 | 1.07 |
time (sec) |
N/A | 0.541 | 2.233 | 0.253 | 0.229 | 0.251 | 0.109 | 0.309 | 0.230 |
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 | 24 | 17 | 17 | 16 | 15 | 22 | 15 | 28 | 15 |
N.S. |
1 | 0.71 | 0.71 | 0.67 | 0.62 | 0.92 | 0.62 | 1.17 | 0.62 |
time (sec) |
N/A | 0.170 | 0.021 | 0.107 | 0.190 | 0.247 | 0.048 | 0.285 | 13.403 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 29 | 30 | 37 | 29 | 24 | 137 | 51 |
N.S. |
1 | 0.00 | 0.97 | 1.00 | 1.23 | 0.97 | 0.80 | 4.57 | 1.70 |
time (sec) |
N/A | 0.000 | 0.065 | 13.317 | 0.270 | 0.263 | 0.083 | 0.381 | 14.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 29 | 30 | 27 | 33 | 27 | 27 | 29 |
N.S. |
1 | 0.00 | 1.26 | 1.30 | 1.17 | 1.43 | 1.17 | 1.17 | 1.26 |
time (sec) |
N/A | 0.000 | 0.697 | 0.338 | 0.316 | 0.248 | 0.096 | 0.416 | 13.703 |
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 | 21 | 7 | 7 | 7 | 6 | 6 | 5 | 6 | 7 |
N.S. |
1 | 0.33 | 0.33 | 0.33 | 0.29 | 0.29 | 0.24 | 0.29 | 0.33 |
time (sec) |
N/A | 0.136 | 0.021 | 0.072 | 0.247 | 0.254 | 0.028 | 0.274 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | B | B | B | B | B | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 0 | 49 | 388 | 46 | 51 | 94 | 429 |
N.S. |
1 | 0.00 | 0.00 | 1.75 | 13.86 | 1.64 | 1.82 | 3.36 | 15.32 |
time (sec) |
N/A | 0.000 | 0.000 | 241.783 | 2.042 | 0.291 | 1.126 | 1.964 | 13.371 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | A | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 29 | 91 | 30 | 79 | 78 | 101 | 79 |
N.S. |
1 | 0.00 | 1.21 | 3.79 | 1.25 | 3.29 | 3.25 | 4.21 | 3.29 |
time (sec) |
N/A | 0.000 | 0.379 | 6.698 | 0.860 | 0.258 | 0.741 | 0.908 | 15.492 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 21 | 23 | 21 | 30 | 31 | 22 | 31 | 0 |
N.S. |
1 | 0.95 | 1.05 | 0.95 | 1.36 | 1.41 | 1.00 | 1.41 | 0.00 |
time (sec) |
N/A | 0.665 | 0.260 | 0.776 | 0.235 | 0.302 | 0.058 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 33 | 33 | 28 | 33 | 29 | 26 | 29 | 27 |
N.S. |
1 | 0.94 | 0.94 | 0.80 | 0.94 | 0.83 | 0.74 | 0.83 | 0.77 |
time (sec) |
N/A | 0.231 | 0.309 | 0.147 | 0.218 | 0.243 | 0.065 | 0.279 | 0.114 |
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 | 13 | 13 | 12 | 13 | 13 | 12 | 15 | 11 |
N.S. |
1 | 0.87 | 0.87 | 0.80 | 0.87 | 0.87 | 0.80 | 1.00 | 0.73 |
time (sec) |
N/A | 0.151 | 0.006 | 0.181 | 0.185 | 0.245 | 0.046 | 0.297 | 13.436 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 169 | 27 | 81 | 94 | 94 | 122 | 56 | 111 |
N.S. |
1 | 6.50 | 1.04 | 3.12 | 3.62 | 3.62 | 4.69 | 2.15 | 4.27 |
time (sec) |
N/A | 0.833 | 0.027 | 0.133 | 0.197 | 0.256 | 0.556 | 0.294 | 0.174 |
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 | 24 | 34 | 33 | 21 | 35 | 34 | 17 | 23 | 35 |
N.S. |
1 | 1.42 | 1.38 | 0.88 | 1.46 | 1.42 | 0.71 | 0.96 | 1.46 |
time (sec) |
N/A | 0.354 | 0.048 | 0.079 | 0.221 | 0.248 | 0.059 | 0.294 | 0.110 |
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 | 21 | 15 | 14 | 3 | 2 | 3 | 14 |
N.S. |
1 | 1.00 | 1.31 | 0.94 | 0.88 | 0.19 | 0.12 | 0.19 | 0.88 |
time (sec) |
N/A | 0.346 | 0.050 | 0.258 | 0.196 | 0.237 | 0.031 | 0.291 | 13.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 48 | 16 | 17 | 44 | 19 | 14 | 19 | 16 |
N.S. |
1 | 2.53 | 0.84 | 0.89 | 2.32 | 1.00 | 0.74 | 1.00 | 0.84 |
time (sec) |
N/A | 0.722 | 0.390 | 0.406 | 0.245 | 0.264 | 0.055 | 0.283 | 12.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 29 | 45 | 78 | 78 | 48 | 0 | 18 |
N.S. |
1 | 0.00 | 1.32 | 2.05 | 3.55 | 3.55 | 2.18 | 0.00 | 0.82 |
time (sec) |
N/A | 0.000 | 0.171 | 111.927 | 0.246 | 0.264 | 0.700 | 0.000 | 12.211 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 30 | 30 | 38 | 41 | 26 | 145 | 29 |
N.S. |
1 | 0.00 | 1.11 | 1.11 | 1.41 | 1.52 | 0.96 | 5.37 | 1.07 |
time (sec) |
N/A | 0.000 | 3.925 | 0.411 | 0.233 | 0.260 | 0.069 | 0.343 | 12.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F(-2) | F(-1) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 43 | 41 | 43 | 43 | 0 | 0 | 40 |
N.S. |
1 | 0.00 | 1.30 | 1.24 | 1.30 | 1.30 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.000 | 0.250 | 180.424 | 0.424 | 0.280 | 0.000 | 0.000 | 13.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 69 | 58 | 76 | 67 | 66 | 60 | 0 | 63 |
N.S. |
1 | 2.76 | 2.32 | 3.04 | 2.68 | 2.64 | 2.40 | 0.00 | 2.52 |
time (sec) |
N/A | 0.293 | 0.078 | 0.112 | 0.189 | 0.243 | 0.183 | 0.000 | 12.487 |
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 | 38 | 42 | 41 | 38 | 50 | 36 | 40 | 37 |
N.S. |
1 | 1.41 | 1.56 | 1.52 | 1.41 | 1.85 | 1.33 | 1.48 | 1.37 |
time (sec) |
N/A | 0.258 | 0.034 | 0.324 | 0.183 | 0.263 | 0.073 | 0.275 | 0.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | C | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 123 | 80 | 106 | 224 | 86 | 107 | 111 | 101 |
N.S. |
1 | 3.62 | 2.35 | 3.12 | 6.59 | 2.53 | 3.15 | 3.26 | 2.97 |
time (sec) |
N/A | 0.676 | 0.735 | 0.362 | 0.239 | 0.260 | 0.138 | 0.274 | 0.189 |
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 | 11 | 11 | 10 | 11 | 11 | 10 | 11 | 9 |
N.S. |
1 | 0.92 | 0.92 | 0.83 | 0.92 | 0.92 | 0.83 | 0.92 | 0.75 |
time (sec) |
N/A | 0.133 | 0.004 | 1.661 | 0.209 | 0.244 | 0.040 | 0.288 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 42 | 41 | 38 | 38 | 36 | 56 | 56 |
N.S. |
1 | 0.00 | 1.24 | 1.21 | 1.12 | 1.12 | 1.06 | 1.65 | 1.65 |
time (sec) |
N/A | 0.000 | 1.211 | 0.093 | 0.192 | 0.260 | 0.106 | 0.273 | 12.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 23 | 22 | 26 | 33 | 19 | 0 | 25 |
N.S. |
1 | 0.00 | 0.96 | 0.92 | 1.08 | 1.38 | 0.79 | 0.00 | 1.04 |
time (sec) |
N/A | 0.000 | 1.774 | 9.234 | 0.393 | 0.253 | 0.225 | 0.000 | 13.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 25 | 19 | 18 | 21 | 22 | 21 | 18 |
N.S. |
1 | 0.00 | 0.96 | 0.73 | 0.69 | 0.81 | 0.85 | 0.81 | 0.69 |
time (sec) |
N/A | 0.000 | 0.333 | 0.442 | 0.246 | 0.260 | 0.078 | 0.280 | 12.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 31 | 29 | 0 | 30 | 29 | 26 | 0 |
N.S. |
1 | 0.00 | 0.91 | 0.85 | 0.00 | 0.88 | 0.85 | 0.76 | 0.00 |
time (sec) |
N/A | 0.000 | 0.141 | 0.824 | 0.000 | 0.253 | 0.097 | 0.408 | 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 | 16 | 15 | 15 | 13 | 12 | 24 | 14 | 24 | 12 |
N.S. |
1 | 0.94 | 0.94 | 0.81 | 0.75 | 1.50 | 0.88 | 1.50 | 0.75 |
time (sec) |
N/A | 0.176 | 0.009 | 0.027 | 0.191 | 0.260 | 0.057 | 0.262 | 13.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 25 | 26 | 26 | 25 | 24 | 26 | 141 |
N.S. |
1 | 0.00 | 1.14 | 1.18 | 1.18 | 1.14 | 1.09 | 1.18 | 6.41 |
time (sec) |
N/A | 0.000 | 0.554 | 231.962 | 0.346 | 0.251 | 1.534 | 0.603 | 18.901 |
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 | 40 | 40 | 27 | 32 | 32 | 39 | 32 | 37 |
N.S. |
1 | 1.25 | 1.25 | 0.84 | 1.00 | 1.00 | 1.22 | 1.00 | 1.16 |
time (sec) |
N/A | 0.163 | 0.008 | 0.070 | 0.195 | 0.243 | 0.022 | 0.261 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 18 | 17 | 0 | 16 | 12 | 30 | 16 |
N.S. |
1 | 0.00 | 1.00 | 0.94 | 0.00 | 0.89 | 0.67 | 1.67 | 0.89 |
time (sec) |
N/A | 0.000 | 0.937 | 0.280 | 0.000 | 0.255 | 0.652 | 0.300 | 12.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 16 | 17 | 16 | 23 | 17 | 16 | 16 |
N.S. |
1 | 0.00 | 0.80 | 0.85 | 0.80 | 1.15 | 0.85 | 0.80 | 0.80 |
time (sec) |
N/A | 0.000 | 0.319 | 0.588 | 0.255 | 0.268 | 0.047 | 0.312 | 13.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 46 | 20 | 19 | 18 | 18 | 19 | 18 | 20 |
N.S. |
1 | 2.19 | 0.95 | 0.90 | 0.86 | 0.86 | 0.90 | 0.86 | 0.95 |
time (sec) |
N/A | 0.209 | 0.054 | 0.113 | 0.269 | 0.262 | 0.101 | 0.268 | 12.404 |
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 | 21 | 19 | 19 | 20 | 21 | 21 | 19 | 21 | 35 |
N.S. |
1 | 0.90 | 0.90 | 0.95 | 1.00 | 1.00 | 0.90 | 1.00 | 1.67 |
time (sec) |
N/A | 0.420 | 0.044 | 0.214 | 0.353 | 0.251 | 0.071 | 0.281 | 13.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 23 | 22 | 21 | 31 | 15 | 21 | 21 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 0.91 | 1.35 | 0.65 | 0.91 | 0.91 |
time (sec) |
N/A | 0.000 | 0.218 | 0.065 | 0.226 | 0.280 | 0.113 | 0.278 | 12.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 22 | 33 | 33 | 32 | 29 | 33 | 32 |
N.S. |
1 | 0.00 | 0.92 | 1.38 | 1.38 | 1.33 | 1.21 | 1.38 | 1.33 |
time (sec) |
N/A | 0.000 | 0.062 | 0.941 | 0.232 | 0.263 | 0.187 | 0.307 | 13.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 32 | 23 | 24 | 44 | 32 | 27 | 31 | 19 |
N.S. |
1 | 1.52 | 1.10 | 1.14 | 2.10 | 1.52 | 1.29 | 1.48 | 0.90 |
time (sec) |
N/A | 0.329 | 0.083 | 0.093 | 0.273 | 0.282 | 0.054 | 0.299 | 13.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 17 | 15 | 15 | 14 | 10 | 26 | 12 |
N.S. |
1 | 0.00 | 1.13 | 1.00 | 1.00 | 0.93 | 0.67 | 1.73 | 0.80 |
time (sec) |
N/A | 0.000 | 0.029 | 0.056 | 0.278 | 0.254 | 0.063 | 0.277 | 0.109 |
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 | 20 | 24 | 18 | 20 | 25 | 17 | 22 | 22 | 12 |
N.S. |
1 | 1.20 | 0.90 | 1.00 | 1.25 | 0.85 | 1.10 | 1.10 | 0.60 |
time (sec) |
N/A | 0.268 | 0.284 | 0.205 | 0.251 | 0.265 | 0.137 | 0.275 | 14.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 33 | 31 | 32 | 68 | 38 | 29 | 59 | 28 |
N.S. |
1 | 1.10 | 1.03 | 1.07 | 2.27 | 1.27 | 0.97 | 1.97 | 0.93 |
time (sec) |
N/A | 6.889 | 0.335 | 10.641 | 0.463 | 0.264 | 0.165 | 48.061 | 13.829 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 31 | 31 | 41 | 36 | 42 | 29 | 49 | 0 |
N.S. |
1 | 0.97 | 0.97 | 1.28 | 1.12 | 1.31 | 0.91 | 1.53 | 0.00 |
time (sec) |
N/A | 1.242 | 0.428 | 0.832 | 0.317 | 0.272 | 0.115 | 0.317 | 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 | 13 | 13 | 13 | 12 | 11 | 17 | 10 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 1.31 | 0.77 | 0.85 | 0.85 |
time (sec) |
N/A | 0.224 | 0.033 | 0.212 | 0.204 | 0.256 | 0.056 | 0.267 | 13.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 31 | 52 | 93 | 93 | 83 | 90 | 0 |
N.S. |
1 | 0.00 | 1.24 | 2.08 | 3.72 | 3.72 | 3.32 | 3.60 | 0.00 |
time (sec) |
N/A | 0.000 | 0.059 | 0.541 | 0.247 | 0.270 | 0.118 | 0.295 | 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 | 23 | 19 | 19 | 17 | 16 | 16 | 15 | 16 | 16 |
N.S. |
1 | 0.83 | 0.83 | 0.74 | 0.70 | 0.70 | 0.65 | 0.70 | 0.70 |
time (sec) |
N/A | 0.158 | 0.015 | 0.066 | 0.201 | 0.249 | 0.068 | 0.269 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 56 | 30 | 40 | 81 | 53 | 60 | 90 | 43 |
N.S. |
1 | 2.00 | 1.07 | 1.43 | 2.89 | 1.89 | 2.14 | 3.21 | 1.54 |
time (sec) |
N/A | 0.239 | 0.056 | 0.214 | 0.270 | 0.257 | 0.102 | 0.278 | 13.659 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 27 | 28 | 77 | 78 | 82 | 27 | 27 |
N.S. |
1 | 0.00 | 1.08 | 1.12 | 3.08 | 3.12 | 3.28 | 1.08 | 1.08 |
time (sec) |
N/A | 0.000 | 0.034 | 0.254 | 0.200 | 0.252 | 4.467 | 0.304 | 13.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 18 | 19 | 34 | 29 | 20 | 257 | 31 |
N.S. |
1 | 0.00 | 1.00 | 1.06 | 1.89 | 1.61 | 1.11 | 14.28 | 1.72 |
time (sec) |
N/A | 0.000 | 0.243 | 7.095 | 0.333 | 0.253 | 0.080 | 0.615 | 13.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 147 | 114 | 55 | 329 | 117 | 99 | 237 | 130 |
N.S. |
1 | 4.90 | 3.80 | 1.83 | 10.97 | 3.90 | 3.30 | 7.90 | 4.33 |
time (sec) |
N/A | 0.792 | 2.914 | 0.754 | 0.246 | 0.287 | 0.307 | 0.307 | 14.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | B | A | F(-2) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 321 | 28 | 59 | 54 | 29 | 0 | 33 |
N.S. |
1 | 0.00 | 12.35 | 1.08 | 2.27 | 2.08 | 1.12 | 0.00 | 1.27 |
time (sec) |
N/A | 0.000 | 31.412 | 0.206 | 0.251 | 0.271 | 0.081 | 0.000 | 13.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 29 | 26 | 26 | 27 | 20 | 0 | 28 |
N.S. |
1 | 0.00 | 1.04 | 0.93 | 0.93 | 0.96 | 0.71 | 0.00 | 1.00 |
time (sec) |
N/A | 0.000 | 1.609 | 0.250 | 0.342 | 0.271 | 0.131 | 0.000 | 13.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 29 | 26 | 23 | 29 | 24 | 0 | 0 | 24 |
N.S. |
1 | 1.04 | 0.93 | 0.82 | 1.04 | 0.86 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 4.128 | 0.232 | 0.026 | 0.343 | 0.268 | 0.000 | 0.000 | 12.997 |