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, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280,
281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299
}
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, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 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, 231, 233, 235, 237, 238, 240, 242, 247, 249, 251, 253, 254, 256,
262, 264, 266, 268, 270, 271, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 296, 297, 299
}
B grade: { 41, 42, 294, 295 }
C grade: { 230, 232, 234, 236, 239, 241, 243, 244, 245, 246, 248, 250, 252, 255, 257, 258, 259,
260, 261, 263, 265, 267, 269, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 298
}
F grade: { }
2.1.3 Maple
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 11, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 61, 62, 63, 64, 65, 66, 67,
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, 223, 224, 225, 226, 227,
229, 231, 233, 236, 238, 240, 242, 247, 249, 250, 251, 252, 254, 256, 262, 264, 267, 269, 271
}
B grade: { 9, 10, 12, 13, 14, 15, 16, 40, 41, 42, 228, 230, 232, 234, 239, 241, 243, 245, 246, 248, 255, 257,
259, 261, 263, 265, 272, 274, 276, 278, 287 }
C grade: { 17, 18, 19, 20, 21, 22, 23, 24, 55, 56, 57, 58, 59, 60, 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, 235, 237, 244, 253, 258, 260, 266, 268, 270, 273, 275, 277, 279
}
F grade: { 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 68, 69, 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, 280, 281, 282, 283, 284, 285, 286, 288, 289, 290, 291, 292,
293, 294, 295, 296, 297, 298, 299 }
2.1.4 Maxima
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 61, 62, 63, 64, 65, 66, 67,
135, 137, 138, 139, 140, 141, 145, 147, 148, 149, 150, 151, 155, 157, 158, 159, 160, 164, 165, 166, 167,
171, 172, 173, 174, 175, 179, 180, 181, 182, 183, 223, 224, 225, 226, 227, 228, 229, 287, 288,
289
B grade: { 47, 48, 49, 132, 133, 134, 136, 142, 143, 144, 146, 152, 153, 154, 156, 161, 162, 163, 168, 169,
170, 176, 177, 178 }
C grade: { }
F grade: { 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, 55, 56, 57, 58, 59, 60, 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, 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, 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, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277,
278, 279, 280, 281, 282, 283, 284, 285, 286, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299
}
2.1.5 FriCAS
A grade: { 2, 4, 5, 6, 7, 8, 39, 40, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 61, 62, 63, 64, 65, 66, 67,
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, 223, 224, 225, 226, 227, 228, 229, 231, 233, 238, 240, 242, 247, 249,
254, 256, 262, 287, 288, 289 }
B grade: { 1, 3, 41, 42, 251, 264, 271 }
C grade: { }
F grade: { 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, 55, 56, 57, 58, 59, 60, 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, 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, 230, 232, 234, 235, 236, 237, 239, 241, 243, 244, 245, 246, 248, 250, 252, 253,
255, 257, 258, 259, 260, 261, 263, 265, 266, 267, 268, 269, 270, 272, 273, 274, 275, 276, 277,
278, 279, 280, 281, 282, 283, 284, 285, 286, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299
}
2.1.6 Sympy
A grade: { 1, 43, 44, 45, 51, 52, 53, 137, 138, 147, 164, 165, 166, 171, 172, 173 }
B grade: { }
C grade: { }
F grade: { 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, 46, 47, 48, 49, 50, 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, 139, 140,
141, 142, 143, 144, 145, 146, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,
161, 162, 163, 167, 168, 169, 170, 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, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280,
281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299
}
2.1.7 Giac
A grade: { 2, 3, 4, 5, 6, 7, 8, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 61, 62, 63, 64, 65, 225, 226, 228,
229 }
B grade: { 1, 40, 41, 42, 52, 223, 224, 227 }
C grade: { }
F grade: { 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, 55, 56, 57, 58, 59, 60, 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, 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, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280,
281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299
}
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 |
A |
B |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 19 | 24 | 76 | 36 | 59 |
normalized size | 1 | 1. | 1. | 1.73 | 2.18 | 6.91 | 3.27 | 5.36 |
time (sec) |
N/A |
0.004 |
0.002 |
0.003 |
1.104 |
1.526 |
5.915 |
1.312 |
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Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 10 | 10 | 10 | 11 | 14 | 42 | 0 | 14 |
normalized size | 1 | 1. | 1. | 1.1 | 1.4 | 4.2 | 0. | 1.4 |
time (sec) |
N/A |
0.009 |
0.004 |
0.056 |
1.266 |
1.403 |
0. |
1.25 |
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Problem 3 |
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 | 34 | 34 | 34 | 38 | 62 | 162 | 0 | 65 |
normalized size | 1 | 1. | 1. | 1.12 | 1.82 | 4.76 | 0. | 1.91 |
time (sec) |
N/A |
0.014 |
0.01 |
0.133 |
1.001 |
1.412 |
0. |
1.353 |
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Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 26 | 26 | 23 | 24 | 30 | 81 | 0 | 30 |
normalized size | 1 | 1. | 0.88 | 0.92 | 1.15 | 3.12 | 0. | 1.15 |
time (sec) |
N/A |
0.011 |
0.041 |
0.043 |
1.166 |
1.346 |
0. |
1.324 |
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Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 42 | 57 | 96 | 200 | 0 | 85 |
normalized size | 1 | 1. | 0.76 | 1.04 | 1.75 | 3.64 | 0. | 1.55 |
time (sec) |
N/A |
0.025 |
0.071 |
0.044 |
1.03 |
1.423 |
0. |
1.32 |
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Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 35 | 34 | 46 | 108 | 0 | 46 |
normalized size | 1 | 1. | 0.85 | 0.83 | 1.12 | 2.63 | 0. | 1.12 |
time (sec) |
N/A |
0.015 |
0.101 |
0.043 |
1.201 |
1.362 |
0. |
1.137 |
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Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 52 | 76 | 123 | 231 | 0 | 99 |
normalized size | 1 | 1. | 0.68 | 1. | 1.62 | 3.04 | 0. | 1.3 |
time (sec) |
N/A |
0.039 |
0.166 |
0.046 |
1.07 |
1.476 |
0. |
1.276 |
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Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 43 | 44 | 59 | 135 | 0 | 59 |
normalized size | 1 | 1. | 0.81 | 0.83 | 1.11 | 2.55 | 0. | 1.11 |
time (sec) |
N/A |
0.017 |
0.219 |
0.043 |
1.075 |
1.393 |
0. |
1.274 |
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Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 59 | 358 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
4.21 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
0.175 |
2.199 |
0. |
0. |
0. |
0. |
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Problem 10 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 46 | 213 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
3.44 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.027 |
0.067 |
1.266 |
0. |
0. |
0. |
0. |
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Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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grade |
A |
A |
A |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 45 | 101 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.78 | 1.74 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.026 |
0.048 |
1.062 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 133 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 3.69 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.017 |
0.029 |
0.883 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 36 | 133 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 3.69 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.017 |
0.034 |
0.936 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 49 | 179 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.79 | 2.89 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.028 |
0.044 |
1.485 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 62 | 62 | 55 | 202 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.89 | 3.26 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.029 |
0.069 |
1.212 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 61 | 199 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
2.34 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.04 |
0.099 |
1.247 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 62 | 354 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
3.61 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.056 |
0.166 |
0.32 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 51 | 128 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
1.83 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.034 |
0.066 |
0.198 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 19 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 48 | 322 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 4.88 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.04 |
0.039 |
0.225 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 20 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 98 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 2.58 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.02 |
0.153 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 21 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 306 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 8.05 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.027 |
0.029 |
0.164 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 22 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 59 | 131 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.82 | 1.82 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.046 |
0.058 |
0.155 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 23 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 60 | 323 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.83 | 4.49 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.068 |
0.2 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 24 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 66 | 153 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.53 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.096 |
0.19 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 25 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.08 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.023 |
0.051 |
0.068 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 26 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 51 | 51 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.08 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.028 |
0.036 |
0.094 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.034 |
0.1 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.025 |
0.082 |
0.093 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.025 |
0.083 |
0.093 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 30 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.025 |
0.066 |
0.055 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 31 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.06 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.034 |
0.049 |
0.059 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 32 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.06 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.03 |
0.041 |
0.084 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.035 |
0.04 |
0.105 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.032 |
0.052 |
0.094 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 35 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.02 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.028 |
0.053 |
0.097 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 36 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.02 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.029 |
0.069 |
0.054 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 61 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.05 |
0.291 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 38 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 61 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.84 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.031 |
0.047 |
0.265 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 39 |
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 | 50 | 50 | 74 | 72 | 57 | 162 | 0 | 80 |
normalized size |
1 |
1. |
1.48 |
1.44 |
1.14 |
3.24 |
0. |
1.6 |
time (sec) |
N/A |
0.017 |
0.29 |
0.159 |
1.741 |
1.367 |
0. |
1.286 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 40 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 68 | 64 | 41 | 139 | 0 | 72 |
normalized size |
1 |
1. |
1.89 |
1.78 |
1.14 |
3.86 |
0. |
2. |
time (sec) |
N/A |
0.012 |
0.14 |
0.091 |
1.648 |
1.409 |
0. |
1.278 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 41 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 22 | 22 | 52 | 53 | 24 | 109 | 0 | 59 |
normalized size | 1 | 1. | 2.36 | 2.41 | 1.09 | 4.95 | 0. | 2.68 |
time (sec) |
N/A |
0.009 |
0.057 |
0.065 |
1.719 |
1.331 |
0. |
1.367 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 42 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
B |
A |
B |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 3 | 3 | 44 | 21 | 4 | 61 | 0 | 47 |
normalized size | 1 | 1. | 14.67 | 7. | 1.33 | 20.33 | 0. | 15.67 |
time (sec) |
N/A |
0.006 |
0.009 |
0.071 |
1.732 |
1.421 |
0. |
1.339 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 11 | 11 | 11 | 14 | 15 | 12 | 10 | 8 |
normalized size | 1 | 1. | 1. | 1.27 | 1.36 | 1.09 | 0.91 | 0.73 |
time (sec) |
N/A |
0.007 |
0.006 |
0.074 |
1.18 |
1.24 |
0.483 |
1.272 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 29 | 29 | 23 | 21 | 34 | 38 | 27 | 22 |
normalized size | 1 | 1. | 0.79 | 0.72 | 1.17 | 1.31 | 0.93 | 0.76 |
time (sec) |
N/A |
0.011 |
0.015 |
0.059 |
1.089 |
1.312 |
1.506 |
1.35 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 43 | 43 | 31 | 29 | 50 | 59 | 44 | 34 |
normalized size | 1 | 1. | 0.72 | 0.67 | 1.16 | 1.37 | 1.02 | 0.79 |
time (sec) |
N/A |
0.015 |
0.025 |
0.072 |
1.165 |
1.444 |
17.704 |
1.257 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 46 |
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 | 57 | 57 | 37 | 35 | 66 | 78 | 0 | 46 |
normalized size |
1 |
1. |
0.65 |
0.61 |
1.16 |
1.37 |
0. |
0.81 |
time (sec) |
N/A |
0.019 |
0.038 |
0.088 |
1.069 |
1.421 |
0. |
1.405 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 78 | 74 | 2936 | 186 | 0 | 107 |
normalized size |
1 |
1. |
0.93 |
0.88 |
34.95 |
2.21 |
0. |
1.27 |
time (sec) |
N/A |
0.041 |
0.124 |
0.145 |
16.739 |
1.478 |
0. |
1.301 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 72 | 66 | 1500 | 159 | 0 | 90 |
normalized size |
1 |
1. |
1.11 |
1.02 |
23.08 |
2.45 |
0. |
1.38 |
time (sec) |
N/A |
0.031 |
0.121 |
0.087 |
2.673 |
1.57 |
0. |
1.409 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 46 | 46 | 55 | 55 | 437 | 119 | 0 | 57 |
normalized size | 1 | 1. | 1.2 | 1.2 | 9.5 | 2.59 | 0. | 1.24 |
time (sec) |
N/A |
0.022 |
0.051 |
0.061 |
1.946 |
1.471 |
0. |
1.306 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 46 | 23 | 51 | 171 | 0 | 42 |
normalized size | 1 | 1. | 1.84 | 0.92 | 2.04 | 6.84 | 0. | 1.68 |
time (sec) |
N/A |
0.015 |
0.008 |
0.056 |
1.936 |
1.464 |
0. |
1.343 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 13 | 13 | 13 | 16 | 8 | 46 | 15 | 15 |
normalized size | 1 | 1. | 1. | 1.23 | 0.62 | 3.54 | 1.15 | 1.15 |
time (sec) |
N/A |
0.029 |
0.005 |
0.069 |
1.881 |
1.445 |
0.538 |
1.229 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 27 | 23 | 19 | 74 | 37 | 78 |
normalized size | 1 | 1. | 0.75 | 0.64 | 0.53 | 2.06 | 1.03 | 2.17 |
time (sec) |
N/A |
0.018 |
0.018 |
0.057 |
1.945 |
1.432 |
1.487 |
1.379 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 53 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 36 | 31 | 30 | 96 | 60 | 113 |
normalized size | 1 | 1. | 0.65 | 0.56 | 0.55 | 1.75 | 1.09 | 2.05 |
time (sec) |
N/A |
0.027 |
0.028 |
0.064 |
1.834 |
1.445 |
17.485 |
1.441 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 54 |
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 | 74 | 74 | 42 | 37 | 38 | 115 | 0 | 149 |
normalized size |
1 |
1. |
0.57 |
0.5 |
0.51 |
1.55 |
0. |
2.01 |
time (sec) |
N/A |
0.035 |
0.035 |
0.081 |
1.784 |
1.451 |
0. |
1.608 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 117 | 59 | 223 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.5 |
1.91 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.052 |
0.093 |
0.368 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 43 | 87 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.66 | 1.34 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.035 |
0.035 |
0.182 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 57 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 42 | 42 | 32 | 191 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.76 | 4.55 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.026 |
0.017 |
0.205 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 44 | 44 | 31 | 76 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.7 | 1.73 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.027 |
0.04 |
0.14 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 59 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 43 | 198 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.59 | 2.71 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.037 |
0.094 |
0.156 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 60 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 117 | 117 | 59 | 114 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.5 | 0.97 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.056 |
0.097 |
0.206 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 61 |
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 | 163 | 163 | 54 | 53 | 82 | 228 | 0 | 90 |
normalized size |
1 |
1. |
0.33 |
0.33 |
0.5 |
1.4 |
0. |
0.55 |
time (sec) |
N/A |
0.039 |
0.168 |
0.233 |
1.643 |
1.587 |
0. |
1.327 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 62 |
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 | 117 | 117 | 42 | 41 | 58 | 165 | 0 | 66 |
normalized size |
1 |
1. |
0.36 |
0.35 |
0.5 |
1.41 |
0. |
0.56 |
time (sec) |
N/A |
0.03 |
0.091 |
0.113 |
1.792 |
1.407 |
0. |
1.244 |
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 30 | 29 | 34 | 101 | 0 | 30 |
normalized size | 1 | 1. | 0.49 | 0.48 | 0.56 | 1.66 | 0. | 0.49 |
time (sec) |
N/A |
0.022 |
0.057 |
0.067 |
1.692 |
1.449 |
0. |
1.305 |
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
Problem 64 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 15 | 15 | 15 | 14 | 8 | 43 | 0 | 8 |
normalized size | 1 | 1. | 1. | 0.93 | 0.53 | 2.87 | 0. | 0.53 |
time (sec) |
N/A |
0.016 |
0.005 |
0.063 |
1.739 |
1.364 |
0. |
1.258 |
|
|
|
|
|
|
|
|
|
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|
|
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|
Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 23 | 22 | 34 | 74 | 0 | 53 |
normalized size | 1 | 1. | 0.64 | 0.61 | 0.94 | 2.06 | 0. | 1.47 |
time (sec) |
N/A |
0.015 |
0.023 |
0.074 |
1.664 |
1.42 |
0. |
1.311 |
|
|
|
|
|
|
|
|
|
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|
Problem 66 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 38 | 41 | 78 | 126 | 0 | 0 |
normalized size |
1 |
1. |
0.44 |
0.48 |
0.91 |
1.47 |
0. |
0. |
time (sec) |
N/A |
0.032 |
0.039 |
0.104 |
1.646 |
1.461 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
Problem 67 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
F(-2) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 132 | 132 | 55 | 57 | 119 | 177 | 0 | 0 |
normalized size |
1 |
1. |
0.42 |
0.43 |
0.9 |
1.34 |
0. |
0. |
time (sec) |
N/A |
0.051 |
0.082 |
0.221 |
1.711 |
1.452 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 68 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 69 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.85 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.053 |
0.094 |
0.444 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 69 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 83 | 83 | 71 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.05 |
0.073 |
0.197 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 70 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 69 | 152 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.71 | 1.57 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.06 |
0.212 |
0.224 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 69 | 356 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 3.75 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.061 |
0.165 |
0.208 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 51 | 130 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.74 | 1.88 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.042 |
0.084 |
0.155 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 47 | 316 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.75 | 5.02 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.041 |
0.051 |
0.214 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 74 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 98 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 2.58 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.02 |
0.02 |
0.141 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 39 | 303 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 7.77 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.03 |
0.035 |
0.149 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 51 | 123 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.76 | 1.84 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.052 |
0.051 |
0.164 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 57 | 315 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
4.5 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.051 |
0.059 |
0.208 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 78 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 63 | 145 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.53 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.07 |
0.09 |
0.188 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 79 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 71 | 325 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
3.32 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.069 |
0.244 |
0.181 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 80 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 64 | 152 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.67 |
1.6 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.183 |
0.195 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 81 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 64 | 356 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.65 | 3.63 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.059 |
0.175 |
0.19 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 49 | 122 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 1.82 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.041 |
0.072 |
0.146 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 66 | 66 | 48 | 320 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.73 | 4.85 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.034 |
0.037 |
0.199 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 39 | 39 | 39 | 98 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
2.51 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.03 |
0.019 |
0.136 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 309 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
7.54 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.024 |
0.147 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 52 | 129 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
1.84 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.054 |
0.049 |
0.16 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 58 | 321 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
4.46 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.054 |
0.049 |
0.196 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 88 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F(-1) |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 64 | 151 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
1.54 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.073 |
0.078 |
0.184 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 89 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 72 | 331 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.72 |
3.31 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.075 |
0.16 |
0.182 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 90 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 61 | 152 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.62 |
1.55 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.059 |
0.18 |
0.191 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 91 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 61 | 348 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
3.59 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.057 |
0.164 |
0.204 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 51 | 128 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
1.83 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.032 |
0.017 |
0.159 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 50 | 324 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
4.76 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.045 |
0.031 |
0.218 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 98 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
2.39 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.016 |
0.153 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 38 | 311 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.93 |
7.59 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.037 |
0.043 |
0.158 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 54 | 131 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
1.82 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.055 |
0.049 |
0.167 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 60 | 321 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
4.46 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.054 |
0.051 |
0.201 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 66 | 153 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.53 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.071 |
0.073 |
0.188 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 74 | 333 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
3.33 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.074 |
0.166 |
0.186 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 100 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 62 | 354 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
3.61 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.048 |
0.085 |
0.222 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 101 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 69 | 152 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.69 | 1.52 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.057 |
0.083 |
0.23 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 61 | 356 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.63 | 3.67 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.059 |
0.226 |
0.236 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 103 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 51 | 130 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.71 | 1.81 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.074 |
0.181 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 104 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 48 | 319 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.74 | 4.91 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.04 |
0.078 |
0.218 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 98 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 2.39 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.021 |
0.016 |
0.158 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 38 | 38 | 38 | 306 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 8.05 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.019 |
0.015 |
0.157 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 107 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 60 | 126 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 1.83 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.043 |
0.068 |
0.16 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 67 | 67 | 60 | 316 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.9 | 4.72 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.051 |
0.082 |
0.215 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 66 | 148 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
1.53 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.069 |
0.075 |
0.204 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 110 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 70 | 328 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
3.45 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.069 |
0.189 |
0.202 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 111 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 69 | 152 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.69 | 1.52 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.059 |
0.166 |
0.219 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 112 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 64 | 356 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.64 | 3.56 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.058 |
0.053 |
0.223 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 56 | 125 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.78 | 1.74 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.097 |
0.17 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 114 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 51 | 322 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.75 | 4.74 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.04 |
0.057 |
0.224 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 115 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 98 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 2.39 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.023 |
0.022 |
0.135 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 116 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 311 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 7.59 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.022 |
0.031 |
0.144 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 117 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 59 | 131 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.82 | 1.82 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.049 |
0.155 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 118 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 60 | 321 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.87 | 4.65 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.045 |
0.032 |
0.197 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 119 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 66 | 153 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.67 | 1.56 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.072 |
0.091 |
0.184 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 120 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 73 | 333 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
3.43 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.071 |
0.077 |
0.19 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 121 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 64 | 152 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
1.52 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.057 |
0.132 |
0.217 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 122 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 64 | 351 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.64 | 3.51 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.058 |
0.113 |
0.222 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 123 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 51 | 130 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.71 | 1.81 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.066 |
0.174 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 124 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 68 | 68 | 51 | 322 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.75 | 4.74 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.053 |
0.234 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 125 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 41 | 98 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 2.39 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.022 |
0.016 |
0.14 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 126 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 38 | 311 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.93 | 7.59 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.023 |
0.036 |
0.143 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 127 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 62 | 131 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 1.82 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.04 |
0.031 |
0.147 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 128 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 60 | 321 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.83 | 4.46 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.034 |
0.018 |
0.199 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 129 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 97 | 97 | 66 | 153 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
1.58 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.063 |
0.069 |
0.178 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 130 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 73 | 333 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
3.4 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.072 |
0.121 |
0.183 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 131 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 100 | 100 | 66 | 153 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.53 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.051 |
0.02 |
0.187 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 132 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 64 | 131 | 2236 | 608 | 0 | 0 |
normalized size |
1 |
1. |
0.6 |
1.22 |
20.9 |
5.68 |
0. |
0. |
time (sec) |
N/A |
0.033 |
0.141 |
0.178 |
2.489 |
1.608 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 133 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 45 | 52 | 397 | 115 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0.74 |
5.67 |
1.64 |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.087 |
0.129 |
2.08 |
1.412 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 134 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 50 | 112 | 892 | 528 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
1.56 |
12.39 |
7.33 |
0. |
0. |
time (sec) |
N/A |
0.019 |
0.052 |
0.135 |
2.113 |
1.548 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 135 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 39 | 73 | 78 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.22 |
2.28 |
2.44 |
0. |
0. |
time (sec) |
N/A |
0.012 |
0.018 |
0.13 |
2.147 |
1.367 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 136 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 52 | 88 | 290 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.58 | 2.67 | 8.79 | 0. | 0. |
time (sec) |
N/A |
0.007 |
0.011 |
0.116 |
2.064 |
1.496 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 137 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 32 | 35 | 266 | 5 | 0 |
normalized size | 1 | 1. | 1. | 1.33 | 1.46 | 11.08 | 0.21 | 0. |
time (sec) |
N/A |
0.002 |
0.014 |
0.108 |
1.786 |
1.638 |
1.55 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 138 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 41 | 18 | 76 | 36 | 0 |
normalized size | 1 | 1. | 1. | 1.28 | 0.56 | 2.38 | 1.12 | 0. |
time (sec) |
N/A |
0.007 |
0.036 |
0.127 |
2.057 |
1.402 |
20.9 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 139 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 45 | 54 | 34 | 428 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
0.86 |
0.54 |
6.79 |
0. |
0. |
time (sec) |
N/A |
0.014 |
0.064 |
0.14 |
2.019 |
1.649 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 140 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 45 | 52 | 57 | 130 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0.74 |
0.81 |
1.86 |
0. |
0. |
time (sec) |
N/A |
0.016 |
0.109 |
0.135 |
2.072 |
1.383 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 141 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 55 | 74 | 66 | 537 | 0 | 0 |
normalized size |
1 |
1. |
0.56 |
0.76 |
0.67 |
5.48 |
0. |
0. |
time (sec) |
N/A |
0.025 |
0.116 |
0.157 |
2.132 |
1.79 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 142 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 64 | 131 | 2352 | 621 | 0 | 0 |
normalized size |
1 |
1. |
0.58 |
1.19 |
21.38 |
5.65 |
0. |
0. |
time (sec) |
N/A |
0.035 |
0.111 |
0.139 |
2.631 |
1.585 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 143 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 45 | 52 | 404 | 117 | 0 | 0 |
normalized size |
1 |
1. |
0.62 |
0.72 |
5.61 |
1.62 |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.088 |
0.118 |
2.103 |
1.354 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 144 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 74 | 74 | 50 | 112 | 933 | 536 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
1.51 |
12.61 |
7.24 |
0. |
0. |
time (sec) |
N/A |
0.021 |
0.058 |
0.117 |
2.191 |
1.648 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 145 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 32 | 39 | 73 | 81 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
1.18 |
2.21 |
2.45 |
0. |
0. |
time (sec) |
N/A |
0.011 |
0.02 |
0.113 |
2.036 |
1.416 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 146 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 34 | 34 | 33 | 52 | 92 | 293 | 0 | 0 |
normalized size | 1 | 1. | 0.97 | 1.53 | 2.71 | 8.62 | 0. | 0. |
time (sec) |
N/A |
0.007 |
0.021 |
0.117 |
2.061 |
1.783 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 147 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 25 | 25 | 24 | 32 | 35 | 269 | 5 | 0 |
normalized size | 1 | 1. | 0.96 | 1.28 | 1.4 | 10.76 | 0.2 | 0. |
time (sec) |
N/A |
0.003 |
0.025 |
0.089 |
1.787 |
1.857 |
38.559 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 148 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 32 | 41 | 18 | 78 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
1.24 |
0.55 |
2.36 |
0. |
0. |
time (sec) |
N/A |
0.007 |
0.044 |
0.114 |
2.002 |
1.578 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 149 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 65 | 65 | 45 | 54 | 38 | 436 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
0.83 |
0.58 |
6.71 |
0. |
0. |
time (sec) |
N/A |
0.015 |
0.079 |
0.124 |
2.038 |
1.967 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 150 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 45 | 52 | 61 | 135 | 0 | 0 |
normalized size |
1 |
1. |
0.62 |
0.72 |
0.85 |
1.88 |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.138 |
0.109 |
2.083 |
1.668 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 151 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 101 | 101 | 55 | 74 | 72 | 551 | 0 | 0 |
normalized size |
1 |
1. |
0.54 |
0.73 |
0.71 |
5.46 |
0. |
0. |
time (sec) |
N/A |
0.028 |
0.154 |
0.123 |
2.153 |
2.016 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 152 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 116 | 116 | 57 | 62 | 952 | 158 | 0 | 0 |
normalized size |
1 |
1. |
0.49 |
0.53 |
8.21 |
1.36 |
0. |
0. |
time (sec) |
N/A |
0.024 |
0.217 |
0.119 |
2.537 |
1.728 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 153 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 45 | 52 | 420 | 123 | 0 | 0 |
normalized size |
1 |
1. |
0.59 |
0.68 |
5.53 |
1.62 |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.079 |
0.106 |
1.978 |
1.693 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 154 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 50 | 112 | 1008 | 544 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
1.44 |
12.92 |
6.97 |
0. |
0. |
time (sec) |
N/A |
0.02 |
0.077 |
0.132 |
2.191 |
1.98 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 155 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 32 | 39 | 73 | 84 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
1.11 |
2.09 |
2.4 |
0. |
0. |
time (sec) |
N/A |
0.012 |
0.031 |
0.127 |
2.06 |
1.636 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 156 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 33 | 52 | 97 | 296 | 0 | 0 |
normalized size |
1 |
1. |
0.92 |
1.44 |
2.69 |
8.22 |
0. |
0. |
time (sec) |
N/A |
0.008 |
0.034 |
0.097 |
1.916 |
1.845 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 157 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 24 | 32 | 35 | 271 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
1.19 |
1.3 |
10.04 |
0. |
0. |
time (sec) |
N/A |
0.003 |
0.019 |
0.091 |
1.825 |
1.973 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 158 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 32 | 41 | 18 | 81 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
1.17 |
0.51 |
2.31 |
0. |
0. |
time (sec) |
N/A |
0.007 |
0.065 |
0.105 |
1.879 |
1.662 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 159 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 45 | 54 | 43 | 444 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0.78 |
0.62 |
6.43 |
0. |
0. |
time (sec) |
N/A |
0.015 |
0.113 |
0.105 |
2.128 |
2.04 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 160 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 45 | 52 | 66 | 140 | 0 | 0 |
normalized size |
1 |
1. |
0.59 |
0.68 |
0.87 |
1.84 |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.163 |
0.114 |
2. |
1.643 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 161 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 50 | 112 | 892 | 533 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
1.56 |
12.39 |
7.4 |
0. |
0. |
time (sec) |
N/A |
0.019 |
0.057 |
0.137 |
2.025 |
1.964 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 162 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 39 | 80 | 81 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.22 |
2.5 |
2.53 |
0. |
0. |
time (sec) |
N/A |
0.011 |
0.026 |
0.119 |
2.039 |
1.642 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 163 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 52 | 88 | 298 | 0 | 0 |
normalized size | 1 | 1. | 1. | 1.58 | 2.67 | 9.03 | 0. | 0. |
time (sec) |
N/A |
0.007 |
0.016 |
0.12 |
1.982 |
1.9 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 164 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 24 | 32 | 35 | 274 | 5 | 0 |
normalized size | 1 | 1. | 1. | 1.33 | 1.46 | 11.42 | 0.21 | 0. |
time (sec) |
N/A |
0.002 |
0.015 |
0.092 |
1.58 |
1.972 |
19.077 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
Problem 165 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 32 | 32 | 32 | 41 | 18 | 81 | 36 | 0 |
normalized size | 1 | 1. | 1. | 1.28 | 0.56 | 2.53 | 1.12 | 0. |
time (sec) |
N/A |
0.007 |
0.036 |
0.154 |
2.093 |
1.748 |
25.96 |
0. |
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
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|
Problem 166 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 63 | 63 | 45 | 54 | 34 | 437 | 82 | 0 |
normalized size | 1 | 1. | 0.71 | 0.86 | 0.54 | 6.94 | 1.3 | 0. |
time (sec) |
N/A |
0.014 |
0.077 |
0.135 |
2.054 |
2.005 |
44.261 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Problem 167 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 70 | 70 | 45 | 52 | 57 | 132 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
0.74 |
0.81 |
1.89 |
0. |
0. |
time (sec) |
N/A |
0.016 |
0.094 |
0.124 |
2.122 |
1.685 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 168 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 50 | 112 | 905 | 539 | 0 | 0 |
normalized size |
1 |
1. |
0.64 |
1.44 |
11.6 |
6.91 |
0. |
0. |
time (sec) |
N/A |
0.02 |
0.057 |
0.117 |
2.15 |
1.955 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 169 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 32 | 39 | 90 | 84 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
1.11 |
2.57 |
2.4 |
0. |
0. |
time (sec) |
N/A |
0.012 |
0.035 |
0.101 |
2.174 |
1.672 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 170 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 33 | 52 | 88 | 301 | 0 | 0 |
normalized size |
1 |
1. |
0.92 |
1.44 |
2.44 |
8.36 |
0. |
0. |
time (sec) |
N/A |
0.007 |
0.026 |
0.092 |
2.053 |
1.886 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 171 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 24 | 32 | 35 | 277 | 5 | 0 |
normalized size | 1 | 1. | 0.89 | 1.19 | 1.3 | 10.26 | 0.19 | 0. |
time (sec) |
N/A |
0.003 |
0.025 |
0.083 |
1.643 |
1.937 |
133.827 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 172 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 32 | 41 | 18 | 84 | 36 | 0 |
normalized size | 1 | 1. | 0.91 | 1.17 | 0.51 | 2.4 | 1.03 | 0. |
time (sec) |
N/A |
0.008 |
0.041 |
0.105 |
1.93 |
1.658 |
19.552 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 173 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
A |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 45 | 54 | 34 | 443 | 82 | 0 |
normalized size | 1 | 1. | 0.65 | 0.78 | 0.49 | 6.42 | 1.19 | 0. |
time (sec) |
N/A |
0.014 |
0.066 |
0.123 |
2.044 |
1.977 |
49.173 |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 174 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 45 | 52 | 57 | 135 | 0 | 0 |
normalized size |
1 |
1. |
0.59 |
0.68 |
0.75 |
1.78 |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.085 |
0.107 |
2.049 |
1.718 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 175 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 55 | 74 | 66 | 552 | 0 | 0 |
normalized size |
1 |
1. |
0.51 |
0.69 |
0.62 |
5.16 |
0. |
0. |
time (sec) |
N/A |
0.027 |
0.121 |
0.139 |
1.871 |
2.154 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 176 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 53 | 112 | 929 | 539 | 0 | 0 |
normalized size |
1 |
1. |
0.68 |
1.44 |
11.91 |
6.91 |
0. |
0. |
time (sec) |
N/A |
0.02 |
0.051 |
0.117 |
2.12 |
1.957 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 177 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 32 | 39 | 90 | 84 | 0 | 0 |
normalized size |
1 |
1. |
0.91 |
1.11 |
2.57 |
2.4 |
0. |
0. |
time (sec) |
N/A |
0.012 |
0.033 |
0.106 |
1.856 |
1.638 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 178 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
B |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 36 | 36 | 33 | 52 | 88 | 301 | 0 | 0 |
normalized size |
1 |
1. |
0.92 |
1.44 |
2.44 |
8.36 |
0. |
0. |
time (sec) |
N/A |
0.008 |
0.022 |
0.088 |
1.949 |
1.904 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 179 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 27 | 27 | 24 | 32 | 35 | 277 | 0 | 0 |
normalized size |
1 |
1. |
0.89 |
1.19 |
1.3 |
10.26 |
0. |
0. |
time (sec) |
N/A |
0.003 |
0.026 |
0.077 |
1.772 |
1.956 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 180 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 35 | 35 | 35 | 41 | 18 | 84 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.17 |
0.51 |
2.4 |
0. |
0. |
time (sec) |
N/A |
0.007 |
0.025 |
0.094 |
1.942 |
1.646 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 181 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 48 | 54 | 34 | 443 | 0 | 0 |
normalized size |
1 |
1. |
0.7 |
0.78 |
0.49 |
6.42 |
0. |
0. |
time (sec) |
N/A |
0.015 |
0.052 |
0.127 |
2.174 |
1.984 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 182 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 76 | 76 | 48 | 52 | 57 | 135 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
0.68 |
0.75 |
1.78 |
0. |
0. |
time (sec) |
N/A |
0.017 |
0.072 |
0.134 |
2.161 |
1.698 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 183 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 107 | 107 | 58 | 74 | 66 | 552 | 0 | 0 |
normalized size |
1 |
1. |
0.54 |
0.69 |
0.62 |
5.16 |
0. |
0. |
time (sec) |
N/A |
0.028 |
0.058 |
0.127 |
1.976 |
2.463 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 184 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.03 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.033 |
0.075 |
0.067 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 185 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.13 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.031 |
0.047 |
0.063 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 186 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.025 |
0.042 |
0.131 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 187 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 58 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.036 |
0.067 |
0.11 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 188 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 59 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.02 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.043 |
0.143 |
0.166 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 189 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.03 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.031 |
0.08 |
0.068 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 190 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.09 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.03 |
0.049 |
0.064 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 191 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 54 | 54 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.06 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.027 |
0.008 |
0.055 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 192 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 56 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.009 |
0.106 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 193 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.03 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.046 |
0.054 |
0.194 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 194 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.03 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.031 |
0.06 |
0.065 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 195 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.13 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.031 |
0.047 |
0.092 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 196 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 55 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.025 |
0.054 |
0.091 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 197 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 58 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1. | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.037 |
0.115 |
0.068 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 198 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.03 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.045 |
0.07 |
0.142 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 199 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.07 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.031 |
0.043 |
0.087 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 200 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 55 | 55 | 58 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.05 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.03 |
0.015 |
0.085 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 201 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 56 | 56 | 57 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.02 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.026 |
0.004 |
0.059 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 202 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 58 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1. |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.017 |
0.069 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 203 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.03 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.047 |
0.099 |
0.138 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 204 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 83 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.02 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.04 |
0.092 |
0.102 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 205 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 83 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.138 |
0.094 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 206 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 83 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.041 |
0.141 |
0.086 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 207 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 83 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.141 |
0.082 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 208 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 82 | 82 | 83 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.041 |
0.13 |
0.091 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 209 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 85 | 85 | 83 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.98 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.043 |
0.183 |
0.082 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 210 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 76 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.85 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.065 |
0.594 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 211 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 71 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.99 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.044 |
0.047 |
0.328 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 212 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 61 | 61 | 65 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.07 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.037 |
0.04 |
0.396 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 213 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 73 | 73 | 61 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.84 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.034 |
0.042 |
0.243 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 214 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 68 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.91 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.049 |
0.094 |
0.859 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 215 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 71 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.95 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.055 |
0.095 |
0.968 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 216 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 75 | 75 | 73 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.97 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.056 |
0.108 |
1.35 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 217 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 81 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.04 |
0.104 |
0.12 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 218 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 81 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.038 |
0.092 |
0.117 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 219 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 81 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.038 |
0.101 |
0.128 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 220 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 81 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.039 |
0.117 |
0.128 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 221 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 81 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.01 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.04 |
0.139 |
0.12 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 222 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 80 | 80 | 81 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.01 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.039 |
0.18 |
0.123 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 223 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 17 | 31 | 66 | 0 | 45 |
normalized size |
1 |
1. |
1. |
0.85 |
1.55 |
3.3 |
0. |
2.25 |
time (sec) |
N/A |
0.035 |
0.055 |
0.021 |
1.127 |
1.633 |
0. |
1.274 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 224 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F(-1) |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 17 | 31 | 63 | 0 | 45 |
normalized size |
1 |
1. |
1. |
0.85 |
1.55 |
3.15 |
0. |
2.25 |
time (sec) |
N/A |
0.036 |
0.041 |
0.017 |
1.145 |
1.622 |
0. |
1.279 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 225 |
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 | 18 | 18 | 18 | 17 | 31 | 38 | 0 | 34 |
normalized size |
1 |
1. |
1. |
0.94 |
1.72 |
2.11 |
0. |
1.89 |
time (sec) |
N/A |
0.036 |
0.033 |
0.018 |
1.158 |
1.663 |
0. |
1.339 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 226 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 18 | 18 | 18 | 17 | 31 | 54 | 0 | 30 |
normalized size | 1 | 1. | 1. | 0.94 | 1.72 | 3. | 0. | 1.67 |
time (sec) |
N/A |
0.033 |
0.038 |
0.025 |
1.058 |
1.658 |
0. |
1.325 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 227 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
A |
A |
F |
B |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 20 | 20 | 20 | 17 | 31 | 65 | 0 | 47 |
normalized size | 1 | 1. | 1. | 0.85 | 1.55 | 3.25 | 0. | 2.35 |
time (sec) |
N/A |
0.033 |
0.053 |
0.025 |
1.185 |
1.709 |
0. |
3.622 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 228 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F(-1) |
A |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 41 | 41 | 32 | 357 | 49 | 97 | 0 | 66 |
normalized size |
1 |
1. |
0.78 |
8.71 |
1.2 |
2.37 |
0. |
1.61 |
time (sec) |
N/A |
0.049 |
0.22 |
0.199 |
1.097 |
1.658 |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 229 |
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 | 43 | 43 | 42 | 36 | 51 | 105 | 0 | 66 |
normalized size |
1 |
1. |
0.98 |
0.84 |
1.19 |
2.44 |
0. |
1.53 |
time (sec) |
N/A |
0.049 |
0.103 |
0.149 |
1.205 |
1.695 |
0. |
1.343 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 230 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 122 | 542 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.95 |
4.23 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.204 |
1.487 |
0.253 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 231 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 56 | 54 | 0 | 155 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
0.78 |
0. |
2.25 |
0. |
0. |
time (sec) |
N/A |
0.097 |
0.116 |
0.191 |
0. |
1.826 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 232 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 109 | 285 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.17 |
3.06 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.143 |
0.858 |
0.2 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 233 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 42 | 0 | 85 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.35 |
0. |
2.74 |
0. |
0. |
time (sec) |
N/A |
0.049 |
0.063 |
0.164 |
0. |
1.709 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 234 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 68 | 157 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.28 | 2.96 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.093 |
0.671 |
0.196 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 235 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 270 | 270 | 171 | 276 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.63 |
1.02 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.14 |
1.326 |
0.148 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 236 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 80 | 188 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.86 | 2.02 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.147 |
0.673 |
0.186 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 237 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 322 | 322 | 222 | 522 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
1.62 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.212 |
1.789 |
0.225 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 238 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 104 | 104 | 57 | 64 | 0 | 203 | 0 | 0 |
normalized size |
1 |
1. |
0.55 |
0.62 |
0. |
1.95 |
0. |
0. |
time (sec) |
N/A |
0.162 |
0.298 |
0.196 |
0. |
2.447 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 239 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 114 | 996 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
6. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.268 |
1.12 |
0.207 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 240 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 45 | 54 | 0 | 135 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0.78 |
0. |
1.96 |
0. |
0. |
time (sec) |
N/A |
0.103 |
0.135 |
0.162 |
0. |
2.062 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 241 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 125 | 125 | 99 | 503 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.79 |
4.02 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.205 |
0.512 |
0.187 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 242 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 31 | 31 | 31 | 42 | 0 | 84 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.35 |
0. |
2.71 |
0. |
0. |
time (sec) |
N/A |
0.048 |
0.061 |
0.169 |
0. |
1.658 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 243 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 66 | 505 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.74 |
5.67 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.143 |
0.367 |
0.191 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 244 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 327 | 327 | 64 | 656 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.2 |
2.01 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.219 |
0.242 |
0.171 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 245 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 69 | 520 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
5.53 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.153 |
0.407 |
0.17 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 246 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 166 | 166 | 92 | 563 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.55 |
3.39 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.265 |
1.423 |
0.232 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 247 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 106 | 106 | 57 | 64 | 0 | 207 | 0 | 0 |
normalized size |
1 |
1. |
0.54 |
0.6 |
0. |
1.95 |
0. |
0. |
time (sec) |
N/A |
0.162 |
0.193 |
0.165 |
0. |
1.871 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 248 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 131 | 131 | 87 | 304 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
2.32 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.204 |
0.652 |
0.195 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 249 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 45 | 54 | 0 | 132 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0.78 |
0. |
1.91 |
0. |
0. |
time (sec) |
N/A |
0.102 |
0.207 |
0.161 |
0. |
1.55 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 250 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 93 | 93 | 68 | 190 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.73 |
2.04 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.141 |
0.579 |
0.206 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 251 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 42 | 0 | 127 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.27 |
0. |
3.85 |
0. |
0. |
time (sec) |
N/A |
0.049 |
0.112 |
0.149 |
0. |
1.363 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 252 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 70 | 192 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.71 |
1.96 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.15 |
0.528 |
0.176 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 253 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 329 | 329 | 280 | 544 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
1.65 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.217 |
1.73 |
0.172 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 254 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 69 | 69 | 45 | 54 | 0 | 185 | 0 | 0 |
normalized size |
1 |
1. |
0.65 |
0.78 |
0. |
2.68 |
0. |
0. |
time (sec) |
N/A |
0.1 |
0.258 |
0.164 |
0. |
2.328 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 255 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 128 | 128 | 104 | 992 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.81 |
7.75 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.193 |
1.048 |
0.207 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 256 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 33 | 42 | 0 | 116 | 0 | 0 |
normalized size |
1 |
1. |
1. |
1.27 |
0. |
3.52 |
0. |
0. |
time (sec) |
N/A |
0.048 |
0.112 |
0.153 |
0. |
2.066 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 257 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 80 | 502 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.9 |
5.64 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.139 |
0.466 |
0.185 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 258 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 270 | 270 | 55 | 322 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.2 |
1.19 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.131 |
0.125 |
0.184 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 259 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 53 | 53 | 66 | 517 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.25 | 9.75 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.088 |
0.218 |
0.172 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 260 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 322 | 322 | 66 | 668 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.2 |
2.07 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.204 |
0.256 |
0.17 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 261 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 84 | 531 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
5.59 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.141 |
0.354 |
0.213 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 262 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 110 | 110 | 57 | 54 | 0 | 203 | 0 | 0 |
normalized size |
1 |
1. |
0.52 |
0.49 |
0. |
1.85 |
0. |
0. |
time (sec) |
N/A |
0.154 |
0.281 |
0.158 |
0. |
2.212 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 263 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 119 | 550 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.88 |
4.07 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.2 |
1.422 |
0.193 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 264 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 45 | 42 | 0 | 131 | 0 | 0 |
normalized size |
1 |
1. |
1.36 |
1.27 |
0. |
3.97 |
0. |
0. |
time (sec) |
N/A |
0.053 |
0.133 |
0.142 |
0. |
1.818 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 265 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 98 | 98 | 105 | 290 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.07 |
2.96 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.148 |
0.798 |
0.173 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 266 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 327 | 327 | 199 | 975 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.61 |
2.98 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.215 |
0.635 |
0.178 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 267 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 92 | 92 | 84 | 195 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.91 | 2.12 | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.143 |
0.641 |
0.19 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 268 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 322 | 322 | 223 | 526 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.69 |
1.63 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.213 |
1.973 |
0.19 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 269 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
A |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 89 | 222 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.64 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.207 |
0.555 |
0.181 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 270 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 371 | 371 | 246 | 556 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.66 |
1.5 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.297 |
2.304 |
0.174 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 271 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
A |
F |
B |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 33 | 33 | 45 | 42 | 0 | 151 | 0 | 0 |
normalized size |
1 |
1. |
1.36 |
1.27 |
0. |
4.58 |
0. |
0. |
time (sec) |
N/A |
0.054 |
0.158 |
0.138 |
0. |
2.309 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 272 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 101 | 993 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.75 |
7.36 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.202 |
1.802 |
0.196 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 273 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 329 | 329 | 55 | 1259 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.17 |
3.83 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.214 |
0.2 |
0.179 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 274 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 94 | 94 | 80 | 515 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.85 |
5.48 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.147 |
0.661 |
0.169 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 275 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 322 | 322 | 70 | 668 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.22 |
2.07 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.203 |
0.221 |
0.175 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 276 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 95 | 95 | 79 | 530 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.83 |
5.58 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.142 |
0.363 |
0.192 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 277 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 371 | 371 | 81 | 696 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.22 |
1.88 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.291 |
0.379 |
0.183 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 278 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
B |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 135 | 135 | 90 | 544 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.67 |
4.03 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.206 |
0.658 |
0.165 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 279 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
C |
F |
F(-1) |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 406 | 406 | 95 | 722 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
0.23 |
1.78 |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.39 |
0.411 |
0.221 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 280 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 278 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.43 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.074 |
2.249 |
0.565 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 281 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 86 | 86 | 280 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.26 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.086 |
0.549 |
0.509 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 282 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 84 | 84 | 281 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.35 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.087 |
0.312 |
0.529 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 283 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 89 | 89 | 283 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 3.18 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.094 |
0.188 |
0.558 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 284 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 51 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.06 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.051 |
0.051 |
0.338 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 285 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 49 | 49 | 51 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.04 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.051 |
0.043 |
0.323 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 286 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 48 | 48 | 51 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.06 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.036 |
0.033 |
0.31 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 287 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
B |
A |
A |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 24 | 24 | 23 | 66 | 39 | 59 | 0 | 0 |
normalized size | 1 | 1. | 0.96 | 2.75 | 1.62 | 2.46 | 0. | 0. |
time (sec) |
N/A |
0.034 |
0.025 |
0.07 |
1.149 |
1.699 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 288 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 52 | 52 | 45 | 0 | 78 | 115 | 0 | 0 |
normalized size |
1 |
1. |
0.87 |
0. |
1.5 |
2.21 |
0. |
0. |
time (sec) |
N/A |
0.052 |
0.126 |
1.153 |
1.155 |
1.747 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 289 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
A |
A |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 78 | 78 | 81 | 0 | 116 | 178 | 0 | 0 |
normalized size |
1 |
1. |
1.04 |
0. |
1.49 |
2.28 |
0. |
0. |
time (sec) |
N/A |
0.064 |
0.554 |
1.199 |
1.143 |
1.763 |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 290 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 77 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.07 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.08 |
0.577 |
0.352 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 291 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 77 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.07 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.079 |
0.509 |
0.351 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 292 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 75 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.04 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.078 |
0.443 |
0.323 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 293 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 65 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 0.9 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.03 |
0.1 |
0.471 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 294 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 165 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 2.29 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.08 |
0.457 |
0.946 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 295 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
B |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 72 | 72 | 246 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
3.42 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.076 |
0.62 |
1.065 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 296 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F(-1) |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 92 | 0 | 0 | 0 | 0 | 0 |
normalized size |
1 |
1. |
1.14 |
0. |
0. |
0. |
0. |
0. |
time (sec) |
N/A |
0.115 |
1.827 |
0.159 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 297 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 90 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.11 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.097 |
1.61 |
0.152 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 298 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
C |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
NO |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 326 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 4.02 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.096 |
3.101 |
0.144 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Problem 299 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
grade |
A |
A |
A |
F |
F |
F |
F |
F |
verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
size | 81 | 81 | 115 | 0 | 0 | 0 | 0 | 0 |
normalized size | 1 | 1. | 1.42 | 0. | 0. | 0. | 0. | 0. |
time (sec) |
N/A |
0.107 |
1.006 |
0.136 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
|
2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf size
of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the
integral was to solve. In this test, problem number [270] had the largest ratio of [ 0.44
]
|
|
|
|
|
|
|
| Table 2.1Rubi specific breakdown of results for each
integral
|
|
|
|
|
|
|
# |
grade |
|
|
normalized | antiderivative |
leaf size | |
|
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
A |
1 |
1 |
1. |
6 |
0.167 |
|
|
|
|
|
|
|
2 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
3 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
4 |
A |
2 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
5 |
A |
3 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
6 |
A |
2 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
7 |
A |
4 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
8 |
A |
2 |
1 |
1. |
8 |
0.125 |
|
|
|
|
|
|
|
9 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
10 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
11 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
12 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
13 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
14 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
15 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
16 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
17 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
18 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
19 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
20 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
|
21 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
22 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
23 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
24 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
25 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
26 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
27 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
28 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
29 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
30 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
31 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
32 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
33 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
34 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
35 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
36 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
37 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
38 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
39 |
A |
5 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
40 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
|
41 |
A |
3 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
42 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
43 |
A |
2 |
2 |
1. |
8 |
0.25 |
|
|
|
|
|
|
|
44 |
A |
3 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
45 |
A |
4 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
46 |
A |
5 |
3 |
1. |
8 |
0.375 |
|
|
|
|
|
|
|
47 |
A |
6 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
48 |
A |
5 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
49 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
50 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
51 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
52 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
53 |
A |
4 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
54 |
A |
5 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
55 |
A |
7 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
56 |
A |
5 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
57 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
58 |
A |
4 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
59 |
A |
5 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
60 |
A |
7 |
4 |
1. |
10 |
0.4 |
|
|
|
|
|
|
|
|
61 |
A |
3 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
62 |
A |
3 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
63 |
A |
3 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
64 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
65 |
A |
3 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
66 |
A |
5 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
67 |
A |
7 |
3 |
1. |
10 |
0.3 |
|
|
|
|
|
|
|
68 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
69 |
A |
3 |
3 |
1. |
14 |
0.214 |
|
|
|
|
|
|
|
70 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
71 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
72 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
73 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
74 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
75 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
76 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
77 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
78 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
79 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
80 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
|
81 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
82 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
83 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
84 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
85 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
86 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
87 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
88 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
89 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
90 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
91 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
92 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
93 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
94 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
95 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
96 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
97 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
98 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
99 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
100 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
|
101 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
102 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
103 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
104 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
105 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
106 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
107 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
108 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
109 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
110 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
111 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
112 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
113 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
114 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
115 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
116 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
117 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
118 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
119 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
120 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
|
121 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
122 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
123 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
124 |
A |
4 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
125 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
126 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
127 |
A |
4 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
128 |
A |
3 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
129 |
A |
5 |
4 |
1. |
19 |
0.21 |
|
|
|
|
|
|
|
130 |
A |
5 |
4 |
1. |
21 |
0.19 |
|
|
|
|
|
|
|
131 |
A |
4 |
3 |
1. |
12 |
0.25 |
|
|
|
|
|
|
|
132 |
A |
4 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
133 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
134 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
135 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
136 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
137 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
138 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
139 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
140 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
|
141 |
A |
4 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
142 |
A |
4 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
143 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
144 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
145 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
146 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
147 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
148 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
149 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
150 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
151 |
A |
4 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
152 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
153 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
154 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
155 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
156 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
157 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
158 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
159 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
160 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
|
161 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
162 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
163 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
164 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
165 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
166 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
167 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
168 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
169 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
170 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
171 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
172 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
173 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
174 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
175 |
A |
4 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
176 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
177 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
178 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
179 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
180 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
|
181 |
A |
3 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
182 |
A |
3 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
183 |
A |
4 |
3 |
1. |
23 |
0.13 |
|
|
|
|
|
|
|
184 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
185 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
186 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
187 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
188 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
189 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
190 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
191 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
192 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
193 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
194 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
195 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
196 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
197 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
198 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
199 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
200 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
|
201 |
A |
2 |
2 |
1. |
12 |
0.167 |
|
|
|
|
|
|
|
202 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
203 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
204 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
205 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
206 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
207 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
208 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
209 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
210 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
211 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
212 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
213 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
214 |
A |
3 |
3 |
1. |
17 |
0.176 |
|
|
|
|
|
|
|
215 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
216 |
A |
3 |
3 |
1. |
19 |
0.158 |
|
|
|
|
|
|
|
217 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
218 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
219 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
220 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
|
221 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
222 |
A |
3 |
3 |
1. |
21 |
0.143 |
|
|
|
|
|
|
|
223 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
224 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
225 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
226 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
227 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
228 |
A |
3 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
229 |
A |
3 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
230 |
A |
5 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
231 |
A |
2 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
232 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
233 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
234 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
235 |
A |
12 |
9 |
1. |
25 |
0.36 |
|
|
|
|
|
|
|
236 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
237 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
238 |
A |
3 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
239 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
240 |
A |
2 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
|
241 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
242 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
243 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
244 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
245 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
246 |
A |
6 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
247 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
248 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
249 |
A |
2 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
250 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
251 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
252 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
253 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
254 |
A |
2 |
2 |
1. |
25 |
0.08 |
|
|
|
|
|
|
|
255 |
A |
5 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
256 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
257 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
258 |
A |
12 |
9 |
1. |
25 |
0.36 |
|
|
|
|
|
|
|
259 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
260 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
|
261 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
262 |
A |
3 |
3 |
1. |
25 |
0.12 |
|
|
|
|
|
|
|
263 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
264 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
265 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
266 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
267 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
268 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
269 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
270 |
A |
14 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
271 |
A |
1 |
1 |
1. |
25 |
0.04 |
|
|
|
|
|
|
|
272 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
273 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
274 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
275 |
A |
13 |
10 |
1. |
25 |
0.4 |
|
|
|
|
|
|
|
276 |
A |
4 |
4 |
1. |
25 |
0.16 |
|
|
|
|
|
|
|
277 |
A |
14 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
278 |
A |
5 |
5 |
1. |
25 |
0.2 |
|
|
|
|
|
|
|
279 |
A |
15 |
11 |
1. |
25 |
0.44 |
|
|
|
|
|
|
|
280 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
|
281 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
282 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
283 |
A |
2 |
2 |
1. |
21 |
0.095 |
|
|
|
|
|
|
|
284 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
285 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
286 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
287 |
A |
2 |
2 |
1. |
17 |
0.118 |
|
|
|
|
|
|
|
288 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
289 |
A |
3 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
290 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
291 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
292 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
293 |
A |
2 |
2 |
1. |
10 |
0.2 |
|
|
|
|
|
|
|
294 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
295 |
A |
2 |
2 |
1. |
19 |
0.105 |
|
|
|
|
|
|
|
296 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
297 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
298 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
299 |
A |
2 |
2 |
1. |
23 |
0.087 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|