Chapter 2
detailed summary tables of results
2.1 List of integrals sorted by grade for each CAS
2.1.1 Rubi
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130,
131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149,
150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168,
169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187,
188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206,
207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225,
226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263
}
B grade: { }
C grade: { }
F grade: { }
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
27, 30, 32, 33, 35, 38, 40, 41, 43, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62,
63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 76, 77, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91,
92, 94, 96, 97, 99, 100, 102, 103, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 134, 135, 136,
137, 138, 139, 141, 143, 145, 147, 148, 149, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161,
162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199,
200, 201, 203, 204, 205, 206, 207, 208, 210, 212, 214, 216, 218, 219, 221, 222, 223, 225, 226,
227, 228, 229, 231, 233, 234, 235, 237, 240, 248, 255, 256, 257, 258, 259, 260, 261, 262, 263
}
B grade: { 104, 144, 146, 202, 213, 241 }
C grade: { 26, 28, 29, 31, 34, 36, 37, 39, 42, 44, 45, 47, 73, 75, 78, 80, 93, 95, 98, 101, 133, 140, 142, 150,
154, 209, 211, 215, 217, 220, 224, 230, 232, 236, 238, 239, 242, 243, 244, 245, 246, 247, 249, 250, 251, 252,
253, 254 }
F grade: { }
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16, 17, 19, 23, 24, 29, 49, 50, 51, 52, 53, 54, 55, 56,
57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 71, 74, 76, 77, 79, 81, 82, 83, 84, 85, 86, 87, 88,
89, 139, 140, 141, 142, 143, 149, 150, 151, 152, 153, 154, 155, 161, 162, 163, 164, 165, 166,
167, 170, 171, 172, 173, 174, 180, 182, 184, 202, 203, 204, 205, 206, 207, 257, 258, 260, 261
}
B grade: { 10, 12, 18, 20, 21, 22, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45,
46, 47, 48, 62, 70, 72, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109,
110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131,
132, 133, 134, 135, 136, 137, 138, 144, 145, 146, 147, 148, 156, 157, 158, 159, 160, 168, 169, 175, 176,
177, 178, 179, 181, 183, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198,
199, 200, 201, 208, 209, 210, 211, 212, 213, 219, 220, 221, 222, 225, 226, 227, 228, 229, 230,
231, 232, 233, 234, 238, 239, 240, 241, 242, 243, 246, 247, 248, 249, 250, 251, 252, 255, 256
}
C grade: { 73, 75, 78, 80, 259, 262, 263 }
F grade: { 214, 215, 216, 217, 218, 223, 224, 235, 236, 237, 244, 245, 253, 254 }
2.1.4 Maxima
A grade: { 5, 6, 49, 50, 51, 52, 53, 54, 66, 68, 74, 76, 77, 79, 81, 86, 94, 102, 138, 139, 140, 150, 172, 174,
176, 178, 202, 204, 206
B grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 55, 56, 57, 58, 59, 60,
61, 62, 63, 64, 65, 67, 69, 70, 71, 72, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 101,
103, 104, 134, 135, 136, 137, 141, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 153, 154, 155, 156, 157,
158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 180, 182, 184, 186, 188, 191, 193, 195, 197,
199, 207, 257, 258 }
C grade: { 203, 205 }
F grade: { 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 73, 75,
78, 80, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124,
125, 126, 127, 128, 129, 130, 131, 132, 133, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 190, 192, 194,
196, 198, 200, 201, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242,
243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 259, 260, 261, 262, 263
}
2.1.5 FriCAS
A grade: { 1, 3, 4, 81, 82, 83, 89, 138, 203, 205, 206, 207 }
B grade: { 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 78, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95,
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115,
116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154,
155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173,
174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192,
193, 194, 195, 196, 197, 198, 199, 202, 204, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217,
218, 219, 221, 222, 223, 224, 225, 227, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239,
240, 241, 242, 243, 244, 245, 247, 248, 249, 250, 251, 252, 254, 255, 257, 258, 260, 261, 262
}
C grade: { 75, 80, 226, 228, 256 }
F grade: { 41, 42, 47, 48, 65, 73, 74, 76, 77, 79, 200, 201, 220, 246, 253, 259, 263 }
2.1.6 Sympy
A grade: { 77, 79, 134, 135, 136, 137, 138, 144, 145, 146, 147, 148, 156, 157, 158, 159, 160,
168, 169, 170, 171, 172, 173, 174, 175, 181, 183, 185, 206, 208, 210, 212, 233, 242, 251, 257
}
B grade: { 140, 219, 221, 258 }
C grade: { }
F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89,
90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130,
131, 132, 133, 139, 141, 142, 143, 149, 150, 151, 152, 153, 154, 155, 161, 162, 163, 164, 165,
166, 167, 176, 177, 178, 179, 180, 182, 184, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 207, 209, 211, 213, 214, 215, 216, 217, 218,
220, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 234, 235, 236, 237, 238, 239, 240,
241, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 256, 259, 260, 261, 262, 263
}
2.1.7 Giac
A grade: { 5, 6, 8, 14, 23, 30, 49, 50, 51, 52, 53, 54, 58, 60, 61, 63, 66, 68, 73, 74, 75, 76, 77, 78, 79, 80,
81, 85, 93, 110, 112, 138, 139, 140, 153, 171, 173, 174, 175, 176, 177, 178, 202, 206, 257, 258
}
B grade: { 1, 2, 3, 4, 7, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 27, 32, 33, 35, 38, 40, 41, 43,
46, 48, 55, 56, 57, 59, 62, 64, 65, 67, 69, 70, 71, 72, 82, 83, 84, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98,
99, 100, 101, 102, 103, 104, 105, 107, 114, 116, 119, 121, 123, 125, 128, 130, 132, 134, 135, 136, 137,
141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 154, 155, 156, 157, 158, 159, 160,
161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 172, 179, 180, 181, 182, 183, 184, 185, 186,
187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 204, 225, 227, 255
}
C grade: { 26, 28, 29, 31, 34, 36, 37, 39, 42, 44, 45, 47, 106, 108, 109, 111, 113, 115, 117, 118, 120, 122,
124, 126, 127, 129, 131, 133, 203, 205, 207, 226, 228, 256 }
F grade: { 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 229, 230,
231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252,
253, 254, 259, 260, 261, 262, 263 }
2.2 Detailed conclusion table per each integral for all CAS systems
Detailed conclusion table per each integral is given by table below. The elapsed time is in
seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2)
if the failure was due to an exception being raised, which could indicate a bug in the system. If
the failure was due to integral not being evaluated within the time limit, then it is given just an
F.
In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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| Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
A |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 73 | 73 | 56 | 96 | 208 | 327 | 0 | 196 |
| normalized size | 1 | 1. | 0.77 | 1.32 | 2.85 | 4.48 | 0. | 2.68 |
| time (sec) |
N/A |
0.076 |
0.341 |
0.041 |
1.202 |
1.85 |
0. |
1.323 |
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| Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 47 | 47 | 73 | 73 | 184 | 246 | 0 | 162 |
| normalized size | 1 | 1. | 1.55 | 1.55 | 3.91 | 5.23 | 0. | 3.45 |
| time (sec) |
N/A |
0.055 |
0.05 |
0.034 |
1.152 |
1.999 |
0. |
1.302 |
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| Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
A |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 44 | 44 | 41 | 66 | 136 | 193 | 0 | 147 |
| normalized size | 1 | 1. | 0.93 | 1.5 | 3.09 | 4.39 | 0. | 3.34 |
| time (sec) |
N/A |
0.051 |
0.189 |
0.033 |
1.126 |
1.959 |
0. |
1.27 |
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| Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
A |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 25 | 25 | 45 | 43 | 90 | 115 | 0 | 107 |
| normalized size | 1 | 1. | 1.8 | 1.72 | 3.6 | 4.6 | 0. | 4.28 |
| time (sec) |
N/A |
0.032 |
0.045 |
0.033 |
1.108 |
1.905 |
0. |
1.206 |
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| Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
A |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 26 | 26 | 52 | 44 | 54 | 483 | 0 | 70 |
| normalized size | 1 | 1. | 2. | 1.69 | 2.08 | 18.58 | 0. | 2.69 |
| time (sec) |
N/A |
0.033 |
0.027 |
0.037 |
1.08 |
2.084 |
0. |
1.33 |
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| Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
A |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 24 | 24 | 24 | 23 | 53 | 238 | 0 | 61 |
| normalized size | 1 | 1. | 1. | 0.96 | 2.21 | 9.92 | 0. | 2.54 |
| time (sec) |
N/A |
0.033 |
0.02 |
0.036 |
1.141 |
1.886 |
0. |
1.264 |
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| Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 51 | 51 | 87 | 50 | 205 | 2480 | 0 | 153 |
| normalized size | 1 | 1. | 1.71 | 0.98 | 4.02 | 48.63 | 0. | 3. |
| time (sec) |
N/A |
0.059 |
0.046 |
0.044 |
1.101 |
2.219 |
0. |
1.208 |
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| Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 44 | 44 | 61 | 55 | 153 | 657 | 0 | 108 |
| normalized size | 1 | 1. | 1.39 | 1.25 | 3.48 | 14.93 | 0. | 2.45 |
| time (sec) |
N/A |
0.043 |
0.068 |
0.046 |
1.164 |
2.04 |
0. |
1.215 |
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| Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 118 | 118 | 94 | 166 | 398 | 1021 | 0 | 398 |
| normalized size |
1 |
1. |
0.8 |
1.41 |
3.37 |
8.65 |
0. |
3.37 |
| time (sec) |
N/A |
0.133 |
1.374 |
0.049 |
1.118 |
2.068 |
0. |
1.726 |
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| Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 77 | 77 | 71 | 162 | 358 | 664 | 0 | 392 |
| normalized size |
1 |
1. |
0.92 |
2.1 |
4.65 |
8.62 |
0. |
5.09 |
| time (sec) |
N/A |
0.098 |
0.517 |
0.052 |
1.192 |
2.055 |
0. |
1.646 |
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| Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 79 | 79 | 70 | 118 | 293 | 747 | 0 | 290 |
| normalized size | 1 | 1. | 0.89 | 1.49 | 3.71 | 9.46 | 0. | 3.67 |
| time (sec) |
N/A |
0.111 |
0.85 |
0.05 |
1.243 |
2.059 |
0. |
1.465 |
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| Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 49 | 49 | 46 | 113 | 231 | 424 | 0 | 219 |
| normalized size | 1 | 1. | 0.94 | 2.31 | 4.71 | 8.65 | 0. | 4.47 |
| time (sec) |
N/A |
0.053 |
0.308 |
0.046 |
1.137 |
2.058 |
0. |
1.371 |
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|
|
|
|
|
|
|
| Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 51 | 51 | 50 | 97 | 265 | 2331 | 0 | 170 |
| normalized size | 1 | 1. | 0.98 | 1.9 | 5.2 | 45.71 | 0. | 3.33 |
| time (sec) |
N/A |
0.065 |
0.155 |
0.05 |
1.042 |
2.003 |
0. |
1.335 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 46 | 46 | 43 | 68 | 184 | 683 | 0 | 116 |
| normalized size | 1 | 1. | 0.93 | 1.48 | 4. | 14.85 | 0. | 2.52 |
| time (sec) |
N/A |
0.057 |
0.449 |
0.048 |
1.054 |
1.859 |
0. |
1.35 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 82 | 82 | 96 | 103 | 244 | 6384 | 0 | 227 |
| normalized size | 1 | 1. | 1.17 | 1.26 | 2.98 | 77.85 | 0. | 2.77 |
| time (sec) |
N/A |
0.119 |
1.54 |
0.062 |
1.057 |
2.32 |
0. |
1.373 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 72 | 72 | 59 | 81 | 284 | 1011 | 0 | 193 |
| normalized size | 1 | 1. | 0.82 | 1.12 | 3.94 | 14.04 | 0. | 2.68 |
| time (sec) |
N/A |
0.079 |
0.48 |
0.059 |
1.051 |
1.932 |
0. |
1.417 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 182 | 182 | 125 | 246 | 648 | 2273 | 0 | 684 |
| normalized size |
1 |
1. |
0.69 |
1.35 |
3.56 |
12.49 |
0. |
3.76 |
| time (sec) |
N/A |
0.222 |
3.978 |
0.053 |
1.077 |
2.075 |
0. |
2.748 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 105 | 105 | 91 | 287 | 593 | 1388 | 0 | 597 |
| normalized size |
1 |
1. |
0.87 |
2.73 |
5.65 |
13.22 |
0. |
5.69 |
| time (sec) |
N/A |
0.123 |
0.291 |
0.052 |
1.101 |
1.967 |
0. |
2.437 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 122 | 139 | 95 | 180 | 509 | 1854 | 0 | 533 |
| normalized size |
1 |
1.14 |
0.78 |
1.48 |
4.17 |
15.2 |
0. |
4.37 |
| time (sec) |
N/A |
0.185 |
2.159 |
0.053 |
1.1 |
2.102 |
0. |
2.176 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 70 | 70 | 63 | 219 | 433 | 959 | 0 | 435 |
| normalized size |
1 |
1. |
0.9 |
3.13 |
6.19 |
13.7 |
0. |
6.21 |
| time (sec) |
N/A |
0.068 |
0.829 |
0.049 |
1.092 |
1.984 |
0. |
1.774 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 84 | 84 | 79 | 186 | 756 | 5895 | 0 | 354 |
| normalized size | 1 | 1. | 0.94 | 2.21 | 9. | 70.18 | 0. | 4.21 |
| time (sec) |
N/A |
0.084 |
0.302 |
0.052 |
1.05 |
2.251 |
0. |
1.643 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 64 | 64 | 70 | 141 | 470 | 1449 | 0 | 273 |
| normalized size | 1 | 1. | 1.09 | 2.2 | 7.34 | 22.64 | 0. | 4.27 |
| time (sec) |
N/A |
0.064 |
0.679 |
0.053 |
1.113 |
1.875 |
0. |
1.713 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 152 | 152 | 127 | 174 | 544 | 12984 | 0 | 379 |
| normalized size | 1 | 1. | 0.84 | 1.14 | 3.58 | 85.42 | 0. | 2.49 |
| time (sec) |
N/A |
0.225 |
6.175 |
0.063 |
1.093 |
2.476 |
0. |
1.77 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 98 | 98 | 87 | 136 | 666 | 2385 | 0 | 347 |
| normalized size | 1 | 1. | 0.89 | 1.39 | 6.8 | 24.34 | 0. | 3.54 |
| time (sec) |
N/A |
0.097 |
1.218 |
0.058 |
1.158 |
2.14 |
0. |
1.783 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 118 | 118 | 93 | 865 | 0 | 5158 | 0 | 406 |
| normalized size |
1 |
1. |
0.79 |
7.33 |
0. |
43.71 |
0. |
3.44 |
| time (sec) |
N/A |
0.172 |
0.254 |
0.108 |
0. |
2.314 |
0. |
2.395 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 75 | 75 | 135 | 202 | 0 | 3729 | 0 | 5603 |
| normalized size | 1 | 1. | 1.8 | 2.69 | 0. | 49.72 | 0. | 74.71 |
| time (sec) |
N/A |
0.128 |
0.539 |
0.069 |
0. |
2.451 |
0. |
1.888 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 78 | 78 | 67 | 605 | 0 | 2475 | 0 | 238 |
| normalized size |
1 |
1. |
0.86 |
7.76 |
0. |
31.73 |
0. |
3.05 |
| time (sec) |
N/A |
0.104 |
0.142 |
0.076 |
0. |
2.441 |
0. |
1.658 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 53 | 53 | 107 | 104 | 0 | 1906 | 0 | 6017 |
| normalized size | 1 | 1. | 2.02 | 1.96 | 0. | 35.96 | 0. | 113.53 |
| time (sec) |
N/A |
0.063 |
0.242 |
0.055 |
0. |
2.201 |
0. |
1.559 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
A |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 55 | 55 | 123 | 69 | 0 | 1673 | 0 | 5242 |
| normalized size | 1 | 1. | 2.24 | 1.25 | 0. | 30.42 | 0. | 95.31 |
| time (sec) |
N/A |
0.078 |
0.199 |
0.063 |
0. |
2.395 |
0. |
1.526 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 48 | 48 | 48 | 413 | 0 | 1636 | 0 | 93 |
| normalized size |
1 |
1. |
1. |
8.6 |
0. |
34.08 |
0. |
1.94 |
| time (sec) |
N/A |
0.063 |
0.115 |
0.076 |
0. |
2.204 |
0. |
1.42 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 85 | 85 | 170 | 181 | 0 | 4872 | 0 | 7173 |
| normalized size | 1 | 1. | 2. | 2.13 | 0. | 57.32 | 0. | 84.39 |
| time (sec) |
N/A |
0.119 |
0.638 |
0.077 |
0. |
2.651 |
0. |
1.822 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 70 | 70 | 71 | 750 | 0 | 4307 | 0 | 178 |
| normalized size |
1 |
1. |
1.01 |
10.71 |
0. |
61.53 |
0. |
2.54 |
| time (sec) |
N/A |
0.088 |
0.289 |
0.089 |
0. |
2.386 |
0. |
1.419 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 192 | 192 | 132 | 1246 | 0 | 17565 | 0 | 709 |
| normalized size |
1 |
1. |
0.69 |
6.49 |
0. |
91.48 |
0. |
3.69 |
| time (sec) |
N/A |
0.252 |
0.933 |
0.119 |
0. |
3.304 |
0. |
3.392 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F(-1) |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 124 | 124 | 160 | 267 | 0 | 12417 | 0 | 8694 |
| normalized size |
1 |
1. |
1.29 |
2.15 |
0. |
100.14 |
0. |
70.11 |
| time (sec) |
N/A |
0.218 |
1.22 |
0.095 |
0. |
3.063 |
0. |
2.472 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 132 | 132 | 105 | 1128 | 0 | 9441 | 0 | 540 |
| normalized size |
1 |
1. |
0.8 |
8.55 |
0. |
71.52 |
0. |
4.09 |
| time (sec) |
N/A |
0.165 |
0.65 |
0.099 |
0. |
2.677 |
0. |
2.253 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F(-1) |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 92 | 92 | 133 | 167 | 0 | 5933 | 0 | 6742 |
| normalized size |
1 |
1. |
1.45 |
1.82 |
0. |
64.49 |
0. |
73.28 |
| time (sec) |
N/A |
0.075 |
0.684 |
0.079 |
0. |
2.585 |
0. |
1.698 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 103 | 103 | 175 | 331 | 0 | 6604 | 0 | 7329 |
| normalized size | 1 | 1. | 1.7 | 3.21 | 0. | 64.12 | 0. | 71.16 |
| time (sec) |
N/A |
0.144 |
0.663 |
0.092 |
0. |
3.284 |
0. |
1.704 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 82 | 82 | 86 | 552 | 0 | 6218 | 0 | 306 |
| normalized size |
1 |
1. |
1.05 |
6.73 |
0. |
75.83 |
0. |
3.73 |
| time (sec) |
N/A |
0.076 |
0.42 |
0.102 |
0. |
2.409 |
0. |
1.653 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 39 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 141 | 141 | 203 | 367 | 0 | 15776 | 0 | 5650 |
| normalized size | 1 | 1. | 1.44 | 2.6 | 0. | 111.89 | 0. | 40.07 |
| time (sec) |
N/A |
0.209 |
4.089 |
0.108 |
0. |
3.304 |
0. |
1.973 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 113 | 113 | 114 | 1012 | 0 | 12585 | 0 | 298 |
| normalized size |
1 |
1. |
1.01 |
8.96 |
0. |
111.37 |
0. |
2.64 |
| time (sec) |
N/A |
0.154 |
0.775 |
0.119 |
0. |
2.786 |
0. |
1.61 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 240 | 240 | 184 | 2366 | 0 | 0 | 0 | 1246 |
| normalized size |
1 |
1. |
0.77 |
9.86 |
0. |
0. |
0. |
5.19 |
| time (sec) |
N/A |
0.345 |
0.763 |
0.128 |
0. |
0. |
0. |
4.662 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F(-2) |
F(-1) |
F(-1) |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 166 | 166 | 227 | 341 | 0 | 0 | 0 | 8107 |
| normalized size |
1 |
1. |
1.37 |
2.05 |
0. |
0. |
0. |
48.84 |
| time (sec) |
N/A |
0.286 |
1.812 |
0.109 |
0. |
0. |
0. |
3.143 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 185 | 185 | 158 | 2110 | 0 | 29831 | 0 | 788 |
| normalized size |
1 |
1. |
0.85 |
11.41 |
0. |
161.25 |
0. |
4.26 |
| time (sec) |
N/A |
0.251 |
1.209 |
0.115 |
0. |
3.844 |
0. |
3.103 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F(-1) |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 126 | 126 | 157 | 252 | 0 | 17194 | 0 | 8412 |
| normalized size |
1 |
1. |
1.25 |
2. |
0. |
136.46 |
0. |
66.76 |
| time (sec) |
N/A |
0.097 |
1.737 |
0.089 |
0. |
3.084 |
0. |
2.003 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 156 | 156 | 236 | 1132 | 0 | 25141 | 0 | 9281 |
| normalized size | 1 | 1. | 1.51 | 7.26 | 0. | 161.16 | 0. | 59.49 |
| time (sec) |
N/A |
0.254 |
1.288 |
0.104 |
0. |
4.358 |
0. |
1.981 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 112 | 112 | 109 | 816 | 0 | 19301 | 0 | 474 |
| normalized size |
1 |
1. |
0.97 |
7.29 |
0. |
172.33 |
0. |
4.23 |
| time (sec) |
N/A |
0.087 |
0.882 |
0.116 |
0. |
3.142 |
0. |
1.916 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
F |
F(-1) |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 196 | 196 | 269 | 1083 | 0 | 0 | 0 | 8479 |
| normalized size |
1 |
1. |
1.37 |
5.53 |
0. |
0. |
0. |
43.26 |
| time (sec) |
N/A |
0.334 |
4.095 |
0.118 |
0. |
0. |
0. |
2.445 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 151 | 151 | 149 | 1416 | 0 | 0 | 0 | 549 |
| normalized size |
1 |
1. |
0.99 |
9.38 |
0. |
0. |
0. |
3.64 |
| time (sec) |
N/A |
0.201 |
1.244 |
0.135 |
0. |
0. |
0. |
1.918 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 132 | 132 | 92 | 122 | 262 | 4209 | 0 | 278 |
| normalized size |
1 |
1. |
0.7 |
0.92 |
1.98 |
31.89 |
0. |
2.11 |
| time (sec) |
N/A |
0.172 |
0.19 |
0.047 |
1.608 |
2.49 |
0. |
1.374 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 98 | 98 | 104 | 129 | 235 | 2942 | 0 | 192 |
| normalized size |
1 |
1. |
1.06 |
1.32 |
2.4 |
30.02 |
0. |
1.96 |
| time (sec) |
N/A |
0.12 |
0.257 |
0.043 |
1.541 |
2.334 |
0. |
1.3 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 100 | 100 | 69 | 79 | 190 | 2453 | 0 | 192 |
| normalized size | 1 | 1. | 0.69 | 0.79 | 1.9 | 24.53 | 0. | 1.92 |
| time (sec) |
N/A |
0.117 |
0.107 |
0.041 |
1.584 |
2.351 |
0. |
1.266 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 63 | 63 | 72 | 85 | 142 | 1473 | 0 | 128 |
| normalized size | 1 | 1. | 1.14 | 1.35 | 2.25 | 23.38 | 0. | 2.03 |
| time (sec) |
N/A |
0.076 |
0.121 |
0.04 |
1.611 |
2.361 |
0. |
1.217 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 49 | 49 | 75 | 65 | 112 | 1453 | 0 | 100 |
| normalized size | 1 | 1. | 1.53 | 1.33 | 2.29 | 29.65 | 0. | 2.04 |
| time (sec) |
N/A |
0.074 |
0.031 |
0.049 |
1.516 |
2.634 |
0. |
1.217 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 29 | 29 | 29 | 34 | 59 | 375 | 0 | 61 |
| normalized size | 1 | 1. | 1. | 1.17 | 2.03 | 12.93 | 0. | 2.1 |
| time (sec) |
N/A |
0.034 |
0.025 |
0.05 |
1.043 |
2.445 |
0. |
1.212 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 71 | 71 | 95 | 62 | 211 | 3216 | 0 | 193 |
| normalized size | 1 | 1. | 1.34 | 0.87 | 2.97 | 45.3 | 0. | 2.72 |
| time (sec) |
N/A |
0.09 |
0.026 |
0.059 |
1.531 |
2.795 |
0. |
1.222 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 56 | 56 | 74 | 60 | 248 | 4702 | 0 | 201 |
| normalized size | 1 | 1. | 1.32 | 1.07 | 4.43 | 83.96 | 0. | 3.59 |
| time (sec) |
N/A |
0.058 |
0.197 |
0.061 |
1.577 |
2.454 |
0. |
1.236 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 170 | 206 | 156 | 243 | 512 | 13666 | 0 | 508 |
| normalized size |
1 |
1.21 |
0.92 |
1.43 |
3.01 |
80.39 |
0. |
2.99 |
| time (sec) |
N/A |
0.297 |
2.809 |
0.058 |
1.586 |
2.942 |
0. |
2.273 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 182 | 182 | 121 | 296 | 470 | 9211 | 0 | 405 |
| normalized size |
1 |
1. |
0.66 |
1.63 |
2.58 |
50.61 |
0. |
2.23 |
| time (sec) |
N/A |
0.225 |
0.72 |
0.058 |
1.555 |
2.777 |
0. |
2.041 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 129 | 159 | 137 | 173 | 406 | 9671 | 0 | 402 |
| normalized size |
1 |
1.23 |
1.06 |
1.34 |
3.15 |
74.97 |
0. |
3.12 |
| time (sec) |
N/A |
0.205 |
1.55 |
0.056 |
1.578 |
2.871 |
0. |
1.836 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 123 | 123 | 90 | 225 | 342 | 5998 | 0 | 289 |
| normalized size |
1 |
1. |
0.73 |
1.83 |
2.78 |
48.76 |
0. |
2.35 |
| time (sec) |
N/A |
0.147 |
0.393 |
0.054 |
1.584 |
2.512 |
0. |
1.617 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 98 | 98 | 106 | 180 | 603 | 6643 | 0 | 240 |
| normalized size | 1 | 1. | 1.08 | 1.84 | 6.15 | 67.79 | 0. | 2.45 |
| time (sec) |
N/A |
0.136 |
0.157 |
0.072 |
1.535 |
2.673 |
0. |
1.511 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 47 | 47 | 94 | 105 | 346 | 1334 | 0 | 165 |
| normalized size | 1 | 1. | 2. | 2.23 | 7.36 | 28.38 | 0. | 3.51 |
| time (sec) |
N/A |
0.058 |
0.221 |
0.067 |
1.055 |
2.178 |
0. |
1.613 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 107 | 107 | 138 | 154 | 510 | 12523 | 0 | 259 |
| normalized size | 1 | 1. | 1.29 | 1.44 | 4.77 | 117.04 | 0. | 2.42 |
| time (sec) |
N/A |
0.16 |
0.151 |
0.085 |
1.561 |
2.992 |
0. |
1.593 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 97 | 97 | 147 | 146 | 632 | 11420 | 0 | 336 |
| normalized size | 1 | 1. | 1.52 | 1.51 | 6.52 | 117.73 | 0. | 3.46 |
| time (sec) |
N/A |
0.098 |
0.186 |
0.083 |
1.582 |
2.815 |
0. |
1.693 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 275 | 306 | 294 | 385 | 873 | 0 | 0 | 956 |
| normalized size |
1 |
1.11 |
1.07 |
1.4 |
3.17 |
0. |
0. |
3.48 |
| time (sec) |
N/A |
0.494 |
6.239 |
0.076 |
1.807 |
0. |
0. |
4.874 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 351 | 351 | 291 | 554 | 815 | 23883 | 0 | 811 |
| normalized size |
1 |
1. |
0.83 |
1.58 |
2.32 |
68.04 |
0. |
2.31 |
| time (sec) |
N/A |
0.35 |
6.545 |
0.13 |
1.787 |
3.607 |
0. |
3.952 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 220 | 241 | 244 | 289 | 734 | 25608 | 0 | 799 |
| normalized size |
1 |
1.1 |
1.11 |
1.31 |
3.34 |
116.4 |
0. |
3.63 |
| time (sec) |
N/A |
0.315 |
6.22 |
0.073 |
1.751 |
4.052 |
0. |
3.473 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 269 | 269 | 233 | 458 | 653 | 17484 | 0 | 655 |
| normalized size |
1 |
1. |
0.87 |
1.7 |
2.43 |
65. |
0. |
2.43 |
| time (sec) |
N/A |
0.249 |
6.289 |
0.067 |
1.747 |
3.985 |
0. |
2.633 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 219 | 219 | 154 | 387 | 883 | 19499 | 0 | 570 |
| normalized size | 1 | 1. | 0.7 | 1.77 | 4.03 | 89.04 | 0. | 2.6 |
| time (sec) |
N/A |
0.264 |
2.886 |
0.096 |
1.72 |
3.6 |
0. |
2.286 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 71 | 71 | 113 | 223 | 917 | 3071 | 0 | 420 |
| normalized size | 1 | 1. | 1.59 | 3.14 | 12.92 | 43.25 | 0. | 5.92 |
| time (sec) |
N/A |
0.065 |
0.687 |
0.086 |
1.195 |
2.234 |
0. |
2.492 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 232 | 232 | 243 | 334 | 791 | 30318 | 0 | 586 |
| normalized size | 1 | 1. | 1.05 | 1.44 | 3.41 | 130.68 | 0. | 2.53 |
| time (sec) |
N/A |
0.316 |
6.316 |
0.099 |
1.778 |
3.905 |
0. |
2.564 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 138 | 138 | 213 | 275 | 1346 | 25978 | 0 | 590 |
| normalized size | 1 | 1. | 1.54 | 1.99 | 9.75 | 188.25 | 0. | 4.28 |
| time (sec) |
N/A |
0.115 |
0.169 |
0.106 |
1.81 |
3.63 |
0. |
2.877 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 491 | 491 | 645 | 603 | 0 | 0 | 0 | 489 |
| normalized size |
1 |
1. |
1.31 |
1.23 |
0. |
0. |
0. |
1. |
| time (sec) |
N/A |
0.892 |
4.377 |
0.128 |
0. |
0. |
0. |
2.33 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
| verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 32 | 0 | 826 | 346 | 0 | 0 | 0 | 473 |
| normalized size |
1 |
0. |
25.81 |
10.81 |
0. |
0. |
0. |
14.78 |
| time (sec) |
N/A |
0.046 |
0.484 |
0.11 |
0. |
0. |
0. |
2.058 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
C |
F |
C |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 384 | 384 | 423 | 356 | 0 | 22579 | 0 | 301 |
| normalized size |
1 |
1. |
1.1 |
0.93 |
0. |
58.8 |
0. |
0.78 |
| time (sec) |
N/A |
0.629 |
3.391 |
0.109 |
0. |
16.062 |
0. |
1.784 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
N/A |
A |
A |
A |
A |
F(-1) |
F(-1) |
A |
| verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 30 | 0 | 409 | 164 | 0 | 0 | 0 | 263 |
| normalized size |
1 |
0. |
13.63 |
5.47 |
0. |
0. |
0. |
8.77 |
| time (sec) |
N/A |
0.028 |
0.226 |
0.108 |
0. |
0. |
0. |
1.621 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
| verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 30 | 0 | 319 | 98 | 0 | 0 | 0 | 207 |
| normalized size |
1 |
0. |
10.63 |
3.27 |
0. |
0. |
0. |
6.9 |
| time (sec) |
N/A |
0.041 |
0.158 |
0.105 |
0. |
0. |
0. |
1.453 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
C |
F |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 157 | 157 | 190 | 121 | 0 | 1801 | 0 | 28 |
| normalized size | 1 | 1. | 1.21 | 0.77 | 0. | 11.47 | 0. | 0.18 |
| time (sec) |
N/A |
0.14 |
0.135 |
0.112 |
0. |
2.665 |
0. |
1.33 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
N/A |
A |
A |
A |
A |
F(-1) |
A |
A |
| verified |
N/A |
N/A |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 32 | 0 | 201 | 144 | 0 | 0 | 0 | 0 |
| normalized size |
1 |
0. |
6.28 |
4.5 |
0. |
0. |
0. |
0. |
| time (sec) |
N/A |
0.047 |
0.362 |
0.125 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
C |
F |
C |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 215 | 215 | 322 | 187 | 0 | 4415 | 0 | 243 |
| normalized size | 1 | 1. | 1.5 | 0.87 | 0. | 20.53 | 0. | 1.13 |
| time (sec) |
N/A |
0.239 |
3.157 |
0.131 |
0. |
17.102 |
0. |
1.423 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 63 | 63 | 44 | 82 | 140 | 169 | 0 | 144 |
| normalized size |
1 |
1. |
0.7 |
1.3 |
2.22 |
2.68 |
0. |
2.29 |
| time (sec) |
N/A |
0.05 |
0.163 |
0.039 |
1.144 |
1.825 |
0. |
1.279 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
A |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 30 | 30 | 44 | 53 | 112 | 119 | 0 | 127 |
| normalized size | 1 | 1. | 1.47 | 1.77 | 3.73 | 3.97 | 0. | 4.23 |
| time (sec) |
N/A |
0.036 |
0.016 |
0.036 |
1.097 |
1.813 |
0. |
1.246 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
A |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 33 | 33 | 32 | 54 | 93 | 80 | 0 | 109 |
| normalized size | 1 | 1. | 0.97 | 1.64 | 2.82 | 2.42 | 0. | 3.3 |
| time (sec) |
N/A |
0.039 |
0.057 |
0.033 |
1.11 |
1.861 |
0. |
1.219 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 27 | 27 | 47 | 37 | 74 | 296 | 0 | 76 |
| normalized size | 1 | 1. | 1.74 | 1.37 | 2.74 | 10.96 | 0. | 2.81 |
| time (sec) |
N/A |
0.032 |
0.029 |
0.034 |
1.61 |
1.865 |
0. |
1.265 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 40 | 40 | 48 | 65 | 108 | 883 | 0 | 85 |
| normalized size | 1 | 1. | 1.2 | 1.62 | 2.7 | 22.08 | 0. | 2.12 |
| time (sec) |
N/A |
0.031 |
0.023 |
0.026 |
1.65 |
1.96 |
0. |
1.211 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 28 | 28 | 28 | 53 | 46 | 424 | 0 | 80 |
| normalized size | 1 | 1. | 1. | 1.89 | 1.64 | 15.14 | 0. | 2.86 |
| time (sec) |
N/A |
0.029 |
0.011 |
0.036 |
1.133 |
1.818 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 66 | 66 | 93 | 103 | 244 | 2826 | 0 | 178 |
| normalized size | 1 | 1. | 1.41 | 1.56 | 3.7 | 42.82 | 0. | 2.7 |
| time (sec) |
N/A |
0.046 |
0.029 |
0.044 |
1.616 |
2.012 |
0. |
1.226 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 48 | 48 | 86 | 75 | 501 | 934 | 0 | 128 |
| normalized size | 1 | 1. | 1.79 | 1.56 | 10.44 | 19.46 | 0. | 2.67 |
| time (sec) |
N/A |
0.04 |
0.048 |
0.044 |
1.108 |
1.92 |
0. |
1.343 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
B |
A |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 85 | 85 | 63 | 124 | 231 | 234 | 0 | 255 |
| normalized size |
1 |
1. |
0.74 |
1.46 |
2.72 |
2.75 |
0. |
3. |
| time (sec) |
N/A |
0.087 |
0.293 |
0.04 |
1.035 |
1.96 |
0. |
1.933 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 54 | 54 | 71 | 117 | 217 | 1314 | 0 | 221 |
| normalized size |
1 |
1. |
1.31 |
2.17 |
4.02 |
24.33 |
0. |
4.09 |
| time (sec) |
N/A |
0.06 |
0.443 |
0.043 |
1.674 |
1.926 |
0. |
1.791 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 51 | 51 | 54 | 96 | 189 | 261 | 0 | 230 |
| normalized size | 1 | 1. | 1.06 | 1.88 | 3.71 | 5.12 | 0. | 4.51 |
| time (sec) |
N/A |
0.076 |
0.371 |
0.04 |
1.205 |
2.008 |
0. |
1.689 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 60 | 60 | 54 | 122 | 205 | 1967 | 0 | 185 |
| normalized size | 1 | 1. | 0.9 | 2.03 | 3.42 | 32.78 | 0. | 3.08 |
| time (sec) |
N/A |
0.082 |
0.179 |
0.043 |
1.749 |
1.993 |
0. |
1.666 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
B |
B |
F |
A |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 91 | 91 | 427 | 173 | 269 | 3433 | 0 | 212 |
| normalized size | 1 | 1. | 4.69 | 1.9 | 2.96 | 37.73 | 0. | 2.33 |
| time (sec) |
N/A |
0.085 |
7.22 |
0.036 |
1.615 |
2.191 |
0. |
1.396 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 49 | 49 | 49 | 126 | 72 | 1023 | 0 | 228 |
| normalized size | 1 | 1. | 1. | 2.57 | 1.47 | 20.88 | 0. | 4.65 |
| time (sec) |
N/A |
0.053 |
0.18 |
0.052 |
1.165 |
1.862 |
0. |
1.411 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 125 | 125 | 792 | 236 | 466 | 7337 | 0 | 393 |
| normalized size | 1 | 1. | 6.34 | 1.89 | 3.73 | 58.7 | 0. | 3.14 |
| time (sec) |
N/A |
0.152 |
8.641 |
0.056 |
1.72 |
2.294 |
0. |
1.489 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 76 | 76 | 83 | 158 | 1253 | 1829 | 0 | 321 |
| normalized size | 1 | 1. | 1.09 | 2.08 | 16.49 | 24.07 | 0. | 4.22 |
| time (sec) |
N/A |
0.07 |
0.515 |
0.057 |
1.211 |
1.904 |
0. |
1.456 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 91 | 91 | 81 | 184 | 360 | 539 | 0 | 385 |
| normalized size |
1 |
1. |
0.89 |
2.02 |
3.96 |
5.92 |
0. |
4.23 |
| time (sec) |
N/A |
0.13 |
0.668 |
0.042 |
1.167 |
2.04 |
0. |
2.677 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 87 | 87 | 494 | 227 | 383 | 4523 | 0 | 377 |
| normalized size |
1 |
1. |
5.68 |
2.61 |
4.4 |
51.99 |
0. |
4.33 |
| time (sec) |
N/A |
0.105 |
6.901 |
0.044 |
1.665 |
2.207 |
0. |
2.42 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 78 | 78 | 69 | 148 | 346 | 903 | 0 | 360 |
| normalized size |
1 |
1. |
0.88 |
1.9 |
4.44 |
11.58 |
0. |
4.62 |
| time (sec) |
N/A |
0.09 |
0.85 |
0.047 |
1.155 |
2.042 |
0. |
2.061 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 99 | 99 | 89 | 257 | 398 | 5933 | 0 | 347 |
| normalized size |
1 |
1. |
0.9 |
2.6 |
4.02 |
59.93 |
0. |
3.51 |
| time (sec) |
N/A |
0.116 |
0.363 |
0.048 |
1.701 |
2.189 |
0. |
1.832 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
C |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 149 | 149 | 1341 | 334 | 489 | 8768 | 0 | 433 |
| normalized size | 1 | 1. | 9. | 2.24 | 3.28 | 58.85 | 0. | 2.91 |
| time (sec) |
N/A |
0.154 |
17.289 |
0.041 |
1.687 |
2.322 |
0. |
1.589 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
A |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 67 | 67 | 67 | 227 | 96 | 2034 | 0 | 468 |
| normalized size | 1 | 1. | 1. | 3.39 | 1.43 | 30.36 | 0. | 6.99 |
| time (sec) |
N/A |
0.061 |
0.167 |
0.065 |
1.054 |
1.99 |
0. |
1.705 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 198 | 198 | 158 | 421 | 747 | 16058 | 0 | 698 |
| normalized size | 1 | 1. | 0.8 | 2.13 | 3.77 | 81.1 | 0. | 3.53 |
| time (sec) |
N/A |
0.239 |
11.677 |
0.071 |
1.668 |
2.568 |
0. |
1.704 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
B |
B |
B |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 102 | 102 | 218 | 269 | 2493 | 3218 | 0 | 603 |
| normalized size | 1 | 1. | 2.14 | 2.64 | 24.44 | 31.55 | 0. | 5.91 |
| time (sec) |
N/A |
0.089 |
0.826 |
0.124 |
1.172 |
2.014 |
0. |
1.827 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 120 | 120 | 115 | 857 | 0 | 5515 | 0 | 440 |
| normalized size |
1 |
1. |
0.96 |
7.14 |
0. |
45.96 |
0. |
3.67 |
| time (sec) |
N/A |
0.168 |
0.275 |
0.088 |
0. |
2.574 |
0. |
2.795 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 80 | 80 | 79 | 468 | 0 | 4604 | 0 | 6807 |
| normalized size | 1 | 1. | 0.99 | 5.85 | 0. | 57.55 | 0. | 85.09 |
| time (sec) |
N/A |
0.109 |
0.396 |
0.087 |
0. |
2.374 |
0. |
2.115 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 77 | 77 | 77 | 608 | 0 | 2520 | 0 | 232 |
| normalized size |
1 |
1. |
1. |
7.9 |
0. |
32.73 |
0. |
3.01 |
| time (sec) |
N/A |
0.103 |
0.148 |
0.083 |
0. |
2.285 |
0. |
1.853 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 53 | 53 | 53 | 315 | 0 | 2040 | 0 | 6017 |
| normalized size | 1 | 1. | 1. | 5.94 | 0. | 38.49 | 0. | 113.53 |
| time (sec) |
N/A |
0.07 |
0.092 |
0.071 |
0. |
2.462 |
0. |
1.584 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 36 | 36 | 36 | 235 | 0 | 1385 | 0 | 6607 |
| normalized size | 1 | 1. | 1. | 6.53 | 0. | 38.47 | 0. | 183.53 |
| time (sec) |
N/A |
0.044 |
0.037 |
0.059 |
0. |
2.398 |
0. |
1.57 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 32 | 32 | 32 | 363 | 0 | 1199 | 0 | 59 |
| normalized size |
1 |
1. |
1. |
11.34 |
0. |
37.47 |
0. |
1.84 |
| time (sec) |
N/A |
0.056 |
0.053 |
0.07 |
0. |
2.396 |
0. |
1.401 |
|
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| Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 55 | 55 | 55 | 494 | 0 | 1494 | 0 | 4938 |
| normalized size | 1 | 1. | 1. | 8.98 | 0. | 27.16 | 0. | 89.78 |
| time (sec) |
N/A |
0.073 |
0.195 |
0.073 |
0. |
2.584 |
0. |
1.793 |
|
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| Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 50 | 50 | 50 | 648 | 0 | 1750 | 0 | 113 |
| normalized size |
1 |
1. |
1. |
12.96 |
0. |
35. |
0. |
2.26 |
| time (sec) |
N/A |
0.07 |
0.133 |
0.068 |
0. |
2.422 |
0. |
1.38 |
|
|
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| |
|
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|
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| Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 86 | 86 | 79 | 836 | 0 | 4316 | 0 | 5747 |
| normalized size | 1 | 1. | 0.92 | 9.72 | 0. | 50.19 | 0. | 66.83 |
| time (sec) |
N/A |
0.12 |
0.557 |
0.076 |
0. |
2.825 |
0. |
1.844 |
|
|
|
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| |
|
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|
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| Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 75 | 75 | 71 | 1077 | 0 | 5189 | 0 | 207 |
| normalized size |
1 |
1. |
0.95 |
14.36 |
0. |
69.19 |
0. |
2.76 |
| time (sec) |
N/A |
0.092 |
0.341 |
0.078 |
0. |
2.65 |
0. |
1.449 |
|
|
|
|
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| |
|
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|
|
| Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F(-1) |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 128 | 128 | 111 | 875 | 0 | 16069 | 0 | 9686 |
| normalized size |
1 |
1. |
0.87 |
6.84 |
0. |
125.54 |
0. |
75.67 |
| time (sec) |
N/A |
0.182 |
1.053 |
0.105 |
0. |
3.215 |
0. |
2.513 |
|
|
|
|
|
|
|
|
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| |
|
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|
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|
|
|
| Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 140 | 140 | 110 | 1146 | 0 | 10118 | 0 | 606 |
| normalized size |
1 |
1. |
0.79 |
8.19 |
0. |
72.27 |
0. |
4.33 |
| time (sec) |
N/A |
0.194 |
0.748 |
0.107 |
0. |
2.861 |
0. |
2.307 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F(-1) |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 101 | 101 | 84 | 729 | 0 | 8197 | 0 | 8317 |
| normalized size |
1 |
1. |
0.83 |
7.22 |
0. |
81.16 |
0. |
82.35 |
| time (sec) |
N/A |
0.139 |
0.697 |
0.096 |
0. |
2.532 |
0. |
1.88 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 83 | 83 | 78 | 666 | 0 | 4917 | 0 | 6892 |
| normalized size | 1 | 1. | 0.94 | 8.02 | 0. | 59.24 | 0. | 83.04 |
| time (sec) |
N/A |
0.071 |
0.275 |
0.082 |
0. |
2.302 |
0. |
1.681 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 66 | 66 | 63 | 498 | 0 | 3663 | 0 | 186 |
| normalized size |
1 |
1. |
0.95 |
7.55 |
0. |
55.5 |
0. |
2.82 |
| time (sec) |
N/A |
0.066 |
0.239 |
0.096 |
0. |
2.308 |
0. |
1.618 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F |
B |
F |
C |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 72 | 72 | 69 | 375 | 0 | 4026 | 0 | 4585 |
| normalized size | 1 | 1. | 0.96 | 5.21 | 0. | 55.92 | 0. | 63.68 |
| time (sec) |
N/A |
0.077 |
0.138 |
0.101 |
0. |
2.274 |
0. |
1.938 |
|
|
|
|
|
|
|
|
|
| |