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Chapter 2
detailed summary tables of results

 2.1 List of integrals sorted by grade for each CAS
  2.1.1 Rubi
  2.1.2 Mathematica
  2.1.3 Maple
  2.1.4 Maxima
  2.1.5 FriCAS
  2.1.6 Sympy
  2.1.7 Giac
  2.1.8 Mupad
 2.2 Detailed conclusion table per each integral for all CAS systems
 2.3 Detailed conclusion table specific for Rubi results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 39, 40, 41, 42, 47, 48, 50, 55, 56, 58, 64, 65, 66, 67, 74, 75, 76, 77, 108, 109, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 143, 144, 145, 146, 151, 152, 154, 159, 160, 162, 168, 169, 170, 171, 178, 179, 180, 181, 214, 220, 224, 225, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 251, 252, 253, 254, 255, 256, 257, 258, 260, 261, 262, 263 }

B grade: { 3, 7, 17, 28, 29, 49, 57, 59, 60, 68, 69, 70, 78, 79, 80, 84, 85, 86, 87, 92, 93, 94, 100, 101, 110, 114, 124, 153, 161, 163, 164, 172, 173, 174, 182, 183, 184, 185, 186, 187, 188, 189, 194, 195, 196, 202, 203, 249, 250, 259 }

C grade: { 35, 36, 37, 38, 43, 44, 45, 46, 51, 52, 53, 54, 61, 62, 63, 71, 72, 73, 81, 82, 83, 88, 89, 90, 91, 95, 96, 97, 98, 99, 102, 103, 104, 105, 106, 107, 139, 140, 141, 142, 147, 148, 149, 150, 155, 156, 157, 158, 165, 166, 167, 175, 176, 177, 190, 191, 192, 193, 197, 198, 199, 200, 201, 204, 205, 206, 207, 208, 209 }

F grade: { 210, 211, 212, 213, 215, 216, 217, 218, 219, 221, 222, 223, 226, 227 }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 31, 32, 33, 34, 39, 40, 41, 42, 47, 48, 50, 55, 56, 58, 65, 66, 67, 75, 76, 77, 87, 88, 89, 90, 91, 96, 97, 98, 99, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 122, 123, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 143, 144, 145, 146, 151, 152, 154, 159, 160, 162, 169, 170, 171, 179, 180, 181, 190, 212, 213, 214, 218, 219, 220, 224, 225, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 241, 242, 243, 244, 245, 246, 247, 248, 253, 254, 262, 263 }

B grade: { 7, 17, 18, 28, 29, 30, 49, 57, 59, 60, 64, 68, 69, 70, 74, 78, 79, 80, 84, 85, 86, 92, 93, 94, 100, 101, 114, 124, 125, 153, 161, 163, 164, 168, 172, 173, 174, 178, 182, 183, 184, 185, 186, 187, 188, 189, 191, 192, 193, 194, 195, 196, 198, 199, 200, 201, 202, 203, 206, 207, 208, 209, 251, 252, 255, 256, 257, 258, 260, 261 }

C grade: { 35, 36, 37, 38, 43, 44, 45, 46, 51, 52, 53, 54, 61, 62, 63, 71, 72, 73, 81, 82, 83, 95, 102, 103, 139, 140, 141, 142, 147, 148, 149, 150, 155, 156, 157, 158, 165, 166, 167, 175, 176, 177, 197, 204, 205 }

F grade: { 210, 211, 215, 216, 217, 221, 222, 223, 226, 227, 240, 249, 250, 259 }

2.1.3 Maple

A grade: { 253, 254, 255, 256, 257, 258, 262, 263 }

B 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, 61, 62, 63, 71, 72, 73, 81, 82, 83, 87, 88, 89, 90, 91, 95, 96, 97, 98, 99, 102, 103, 104, 105, 106, 107 }

C grade: { 228, 229, 230, 231, 232, 233, 237, 238, 239, 252, 261 }

F grade: { 55, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 84, 85, 86, 92, 93, 94, 100, 101, 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, 234, 235, 236, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 259, 260 }

2.1.4 Maxima

A grade: { 4, 5, 14, 33, 42, 50, 111, 112, 146, 154, 231, 232, 237, 238, 239, 245, 253, 254, 262, 263 }

B grade: { 1, 2, 3, 7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76, 77, 81, 82, 88, 89, 90, 91, 95, 96, 97, 98, 99, 102, 103, 104, 105, 106, 107, 108, 109, 110, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 135, 136, 137, 139, 140, 141, 142, 143, 144, 147, 148, 149, 150, 151, 153, 155, 156, 157, 158, 159, 160, 161, 162, 165, 166, 167, 168, 169, 170, 171, 175, 176, 177, 178, 179, 180, 181, 190, 191, 192, 193, 197, 198, 199, 200, 201, 204, 205, 206, 207, 208, 209, 228, 229, 230, 233, 255, 256, 257, 258 }

C grade: { }

F grade: { 6, 16, 27, 34, 41, 48, 59, 60, 68, 69, 70, 78, 79, 80, 83, 84, 85, 86, 87, 92, 93, 94, 100, 101, 113, 123, 134, 138, 145, 152, 163, 164, 172, 173, 174, 182, 183, 184, 185, 186, 187, 188, 189, 194, 195, 196, 202, 203, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 234, 235, 236, 240, 241, 242, 243, 244, 246, 247, 248, 249, 250, 251, 252, 259, 260, 261 }

2.1.5 FriCAS

A grade: { 3, 4, 10, 11, 12, 22, 35, 36, 37, 38, 42, 43, 44, 45, 50, 51, 52, 89, 90, 91, 95, 96, 97, 98, 103, 104, 105, 139, 140, 141, 146, 147, 148, 154, 155, 197, 198, 215, 216, 220, 221, 222, 224, 225, 230, 231, 232, 234, 235, 236, 237, 238, 239, 241, 242, 243, 244, 245, 246, 247, 248, 253, 254, 255, 256, 257, 258, 262, 263 }

B grade: { 1, 2, 7, 8, 9, 13, 17, 18, 19, 20, 21, 23, 28, 29, 30, 46, 49, 53, 54, 61, 62, 63, 71, 72, 73, 81, 82, 83, 88, 99, 102, 106, 107, 108, 109, 110, 111, 114, 115, 116, 117, 118, 119, 120, 124, 125, 126, 127, 128, 129, 130, 142, 149, 150, 153, 156, 157, 158, 165, 166, 167, 175, 176, 177, 190, 191, 192, 193, 199, 200, 201, 204, 205, 206, 207, 208, 209, 212, 213, 214, 217, 218, 219, 223, 228, 229, 233 }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 31, 32, 33, 34, 39, 40, 41, 47, 48, 55, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 84, 85, 86, 87, 92, 93, 94, 100, 101, 112, 113, 121, 122, 123, 131, 132, 133, 134, 135, 136, 137, 138, 143, 144, 145, 151, 152, 159, 160, 161, 162, 163, 164, 168, 169, 170, 171, 172, 173, 174, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 194, 195, 196, 202, 203, 210, 211, 226, 227, 240, 249, 250, 251, 252, 259, 260, 261 }

2.1.6 Sympy

A grade: { 110, 111, 120, 245 }

B grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 35, 36, 37, 38, 42, 43, 44, 45, 49, 50, 51, 52, 53, 61, 62, 71, 72, 88, 89, 90, 91, 95, 96, 97, 102, 103, 104, 106 }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 39, 40, 41, 46, 47, 48, 54, 55, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67, 68, 69, 70, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 92, 93, 94, 98, 99, 100, 101, 105, 107, 108, 109, 112, 113, 114, 115, 116, 117, 118, 119, 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, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263 }

2.1.7 Giac

A grade: { 7, 8, 9, 17, 18, 19, 28, 29, 30, 42, 43, 49, 50, 51, 61, 62, 63, 71, 72, 73, 81, 82, 83, 95, 96, 103, 104, 114, 115, 116, 124, 125, 126, 139, 146, 147, 153, 154, 155, 165, 166, 167, 175, 176, 197, 198, 204, 205, 206, 231, 237, 238, 239, 253, 254, 262, 263 }

B grade: { 1, 2, 3, 4, 10, 11, 12, 13, 20, 21, 22, 23, 35, 88, 102, 108, 109, 110, 111, 117, 118, 119, 120, 127, 128, 129, 130, 190, 232, 233, 245 }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 44, 45, 46, 47, 48, 52, 53, 54, 55, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 97, 98, 99, 100, 101, 105, 106, 107, 112, 113, 121, 122, 123, 131, 132, 133, 134, 135, 136, 137, 138, 140, 141, 142, 143, 144, 145, 148, 149, 150, 151, 152, 156, 157, 158, 159, 160, 161, 162, 163, 164, 168, 169, 170, 171, 172, 173, 174, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 191, 192, 193, 194, 195, 196, 199, 200, 201, 202, 203, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 234, 235, 236, 240, 241, 242, 243, 244, 246, 247, 248, 249, 250, 251, 252, 255, 256, 257, 258, 259, 260, 261 }

2.1.8 Mupad

A grade: { 253, 254, 262, 263 }

B grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 28, 29, 30, 35, 36, 37, 38, 42, 43, 44, 45, 46, 49, 50, 51, 52, 53, 54, 61, 62, 63, 71, 72, 73, 81, 82, 83, 88, 89, 90, 91, 95, 96, 97, 98, 99, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 114, 115, 116, 117, 118, 119, 120, 124, 125, 126, 127, 128, 129, 130, 139, 140, 141, 142, 146, 147, 148, 149, 150, 153, 154, 155, 156, 157, 158, 165, 166, 167, 175, 176, 177, 190, 191, 192, 193, 197, 198, 200, 201, 204, 205, 206, 207, 208, 209, 228, 229, 230, 231, 232, 233, 237, 238, 239, 245 }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 31, 32, 33, 34, 39, 40, 41, 47, 48, 55, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 84, 85, 86, 87, 92, 93, 94, 100, 101, 112, 113, 121, 122, 123, 131, 132, 133, 134, 135, 136, 137, 138, 143, 144, 145, 151, 152, 159, 160, 161, 162, 163, 164, 168, 169, 170, 171, 172, 173, 174, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 194, 195, 196, 199, 202, 203, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 234, 235, 236, 240, 241, 242, 243, 244, 246, 247, 248, 249, 250, 251, 252, 255, 256, 257, 258, 259, 260, 261 }

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 \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\)

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 232 261 7284 1022 504 1158 5682 1195
normalized size 1 1.09 1.23 34.36 4.82 2.38 5.46 26.80 5.64
time (sec) N/A 0.345 0.221 0.179 1.391 2.373 7.952 1.590 5.377
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 200 217 4593 671 370 850 3993 638
normalized size 1 1.11 1.21 25.52 3.73 2.06 4.72 22.18 3.54
time (sec) N/A 0.294 0.159 0.155 1.232 1.047 5.105 1.190 5.113
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 294 181 2407 361 226 498 2404 282
normalized size 1 2.10 1.29 17.19 2.58 1.61 3.56 17.17 2.01
time (sec) N/A 0.344 0.239 0.145 1.196 0.828 3.151 0.849 4.714
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 70 940 144 127 253 1395 126
normalized size 1 1.00 0.86 11.60 1.78 1.57 3.12 17.22 1.56
time (sec) N/A 0.057 0.033 0.133 1.099 0.909 1.990 0.668 4.639
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 213 164 1044 241 0 0 0 -1
normalized size 1 1.60 1.23 7.85 1.81 0.00 0.00 0.00 -0.01
time (sec) N/A 0.353 0.117 0.121 1.840 0.917 0.000 0.000 0.000
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 221 175 1025 0 0 0 0 -1
normalized size 1 1.56 1.23 7.22 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.384 0.153 0.060 0.000 0.871 0.000 0.000 0.000
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 191 208 394 570 177 384 117 197
normalized size 1 2.25 2.45 4.64 6.71 2.08 4.52 1.38 2.32
time (sec) N/A 0.281 0.153 0.048 1.316 0.764 6.246 1.108 5.576
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 225 187 804 933 363 629 244 361
normalized size 1 1.30 1.08 4.65 5.39 2.10 3.64 1.41 2.09
time (sec) N/A 0.342 0.394 0.049 1.376 1.078 11.301 1.456 5.866
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 257 210 1226 1386 602 928 391 590
normalized size 1 0.96 0.78 4.56 5.15 2.24 3.45 1.45 2.19
time (sec) N/A 0.390 0.469 0.049 1.797 0.926 18.731 1.438 6.458
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 423 330 429 9298 1789 724 1727 7651 2473
normalized size 1 0.78 1.01 21.98 4.23 1.71 4.08 18.09 5.85
time (sec) N/A 0.655 0.358 0.193 1.686 1.377 13.453 1.819 5.887
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 296 362 6116 1200 534 1266 5571 1287
normalized size 1 0.88 1.07 18.15 3.56 1.58 3.76 16.53 3.82
time (sec) N/A 0.508 0.252 0.169 1.474 1.067 7.808 1.362 5.342
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 200 216 3439 671 367 850 3856 636
normalized size 1 0.84 0.90 14.39 2.81 1.54 3.56 16.13 2.66
time (sec) N/A 0.341 0.184 0.153 1.254 1.005 5.075 1.061 5.005
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 97 1522 280 223 491 2475 290
normalized size 1 1.00 0.82 12.90 2.37 1.89 4.16 20.97 2.46
time (sec) N/A 0.067 0.040 0.134 1.102 0.951 2.986 0.835 4.586
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 354 252 2538 518 0 0 0 -1
normalized size 1 1.28 0.91 9.20 1.88 0.00 0.00 0.00 -0.00
time (sec) N/A 0.490 0.190 0.154 1.799 0.976 0.000 0.000 0.000
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 313 221 1465 992 0 0 0 -1
normalized size 1 1.27 0.89 5.93 4.02 0.00 0.00 0.00 -0.00
time (sec) N/A 0.518 0.230 0.142 1.909 0.720 0.000 0.000 0.000
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 338 244 1495 0 0 0 0 -1
normalized size 1 1.47 1.06 6.50 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.589 0.313 0.064 0.000 0.925 0.000 0.000 0.000
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 287 315 406 1515 271 614 114 423
normalized size 1 3.22 3.54 4.56 17.02 3.04 6.90 1.28 4.75
time (sec) N/A 0.490 0.297 0.048 1.633 0.736 26.252 2.300 6.187
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 325 454 828 2218 510 928 238 647
normalized size 1 1.80 2.51 4.57 12.25 2.82 5.13 1.31 3.57
time (sec) N/A 0.571 0.383 0.052 2.266 0.731 47.655 2.950 6.859
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 359 344 1262 3029 807 1300 382 941
normalized size 1 1.28 1.22 4.49 10.78 2.87 4.63 1.36 3.35
time (sec) N/A 0.678 0.865 0.050 3.036 1.121 92.227 3.512 7.993
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 457 416 586 11172 2637 912 2161 10098 4347
normalized size 1 0.91 1.28 24.45 5.77 2.00 4.73 22.10 9.51
time (sec) N/A 0.945 0.590 0.200 1.840 1.544 18.759 2.575 6.580
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 371 330 429 7597 1789 722 1727 7963 2465
normalized size 1 0.89 1.16 20.48 4.82 1.95 4.65 21.46 6.64
time (sec) N/A 0.675 0.320 0.176 1.513 1.212 12.214 1.975 6.045
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 232 261 4481 1022 502 1158 5710 1192
normalized size 1 0.86 0.96 16.54 3.77 1.85 4.27 21.07 4.40
time (sec) N/A 0.341 0.197 0.157 1.342 0.956 7.306 1.440 5.438
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 120 2172 439 322 706 3969 566
normalized size 1 1.00 0.81 14.58 2.95 2.16 4.74 26.64 3.80
time (sec) N/A 0.081 0.058 0.142 1.145 0.797 4.124 1.091 4.797
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 356 436 352 4594 850 0 0 0 -1
normalized size 1 1.22 0.99 12.90 2.39 0.00 0.00 0.00 -0.00
time (sec) N/A 0.602 0.275 0.164 1.846 0.927 0.000 0.000 0.000
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 373 521 374 3141 1501 0 0 0 -1
normalized size 1 1.40 1.00 8.42 4.02 0.00 0.00 0.00 -0.00
time (sec) N/A 0.696 0.391 0.147 1.837 0.622 0.000 0.000 0.000
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 345 442 314 1855 2302 0 0 0 -1
normalized size 1 1.28 0.91 5.38 6.67 0.00 0.00 0.00 -0.00
time (sec) N/A 0.718 0.406 0.136 2.509 0.773 0.000 0.000 0.000
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 424 308 1929 0 0 0 0 -1
normalized size 1 1.37 0.99 6.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.782 0.455 0.066 0.000 0.676 0.000 0.000 0.000
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 373 427 406 3107 355 0 117 780
normalized size 1 4.19 4.80 4.56 34.91 3.99 0.00 1.31 8.76
time (sec) N/A 0.722 0.493 0.051 2.709 0.862 0.000 3.275 7.156
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 409 608 828 4218 644 0 244 1053
normalized size 1 2.26 3.36 4.57 23.30 3.56 0.00 1.35 5.82
time (sec) N/A 0.865 0.602 0.051 3.853 0.595 0.000 3.242 8.312
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 445 642 1262 5524 991 0 391 1396
normalized size 1 1.58 2.28 4.49 19.66 3.53 0.00 1.39 4.97
time (sec) N/A 0.976 1.045 0.049 5.149 0.936 0.000 4.078 9.731
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 408 354 4297 790 0 0 0 -1
normalized size 1 1.62 1.40 17.05 3.13 0.00 0.00 0.00 -0.00
time (sec) N/A 0.626 0.293 0.163 1.789 0.811 0.000 0.000 0.000
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 329 254 2309 477 0 0 0 -1
normalized size 1 1.66 1.28 11.66 2.41 0.00 0.00 0.00 -0.01
time (sec) N/A 0.487 0.177 0.145 1.737 0.519 0.000 0.000 0.000
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 213 162 895 221 0 0 0 -1
normalized size 1 1.70 1.30 7.16 1.77 0.00 0.00 0.00 -0.01
time (sec) N/A 0.355 0.111 0.133 1.682 0.729 0.000 0.000 0.000
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 122 95 411 0 0 0 0 -1
normalized size 1 1.61 1.25 5.41 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.215 0.032 0.053 0.000 0.849 0.000 0.000 0.000
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 304 207 201 172 60 170 113 69
normalized size 1 6.91 4.70 4.57 3.91 1.36 3.86 2.57 1.57
time (sec) N/A 0.584 0.120 0.049 1.136 0.738 1.129 0.349 5.745
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 173 437 292 605 424 144 386 0 241
normalized size 1 2.53 1.69 3.50 2.45 0.83 2.23 0.00 1.39
time (sec) N/A 0.703 0.317 0.048 1.320 1.187 2.512 0.000 5.844
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 535 418 1040 885 349 889 0 545
normalized size 1 2.10 1.64 4.08 3.47 1.37 3.49 0.00 2.14
time (sec) N/A 0.877 0.430 0.048 1.715 0.652 6.980 0.000 6.930
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 373 620 492 1474 1469 611 1392 0 970
normalized size 1 1.66 1.32 3.95 3.94 1.64 3.73 0.00 2.60
time (sec) N/A 1.078 0.707 0.052 2.414 0.645 20.689 0.000 9.510
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 341 519 359 2973 1341 0 0 0 -1
normalized size 1 1.52 1.05 8.72 3.93 0.00 0.00 0.00 -0.00
time (sec) N/A 0.727 0.416 0.156 1.892 0.934 0.000 0.000 0.000
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 336 239 1382 886 0 0 0 -1
normalized size 1 1.29 0.92 5.32 3.41 0.00 0.00 0.00 -0.00
time (sec) N/A 0.532 0.237 0.137 1.900 1.070 0.000 0.000 0.000
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 222 175 978 0 0 0 0 -1
normalized size 1 1.39 1.09 6.11 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.403 0.161 0.056 0.000 0.861 0.000 0.000 0.000
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 101 104 515 134 88 231 120 106
normalized size 1 1.03 1.06 5.26 1.37 0.90 2.36 1.22 1.08
time (sec) N/A 0.073 0.045 0.049 1.095 0.913 1.519 0.744 4.885
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 432 292 759 421 151 386 204 247
normalized size 1 2.77 1.87 4.87 2.70 0.97 2.47 1.31 1.58
time (sec) N/A 0.714 0.284 0.050 1.325 0.886 2.497 1.002 5.813
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 462 324 1187 859 334 828 0 415
normalized size 1 1.77 1.24 4.55 3.29 1.28 3.17 0.00 1.59
time (sec) N/A 0.868 0.428 0.053 1.406 0.906 5.837 0.000 6.175
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 364 630 453 1635 1721 664 1562 0 984
normalized size 1 1.73 1.24 4.49 4.73 1.82 4.29 0.00 2.70
time (sec) N/A 1.117 0.731 0.051 2.370 0.878 52.282 0.000 9.113
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 457 705 520 2068 2560 1019 0 0 1679
normalized size 1 1.54 1.14 4.53 5.60 2.23 0.00 0.00 3.67
time (sec) N/A 1.363 1.340 0.050 3.449 0.770 0.000 0.000 12.438
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 442 317 1815 2037 0 0 0 -1
normalized size 1 1.22 0.88 5.03 5.64 0.00 0.00 0.00 -0.00
time (sec) N/A 0.734 0.443 0.141 2.306 0.991 0.000 0.000 0.000
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 340 245 1569 0 0 0 0 -1
normalized size 1 1.35 0.98 6.25 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.607 0.336 0.055 0.000 0.874 0.000 0.000 0.000
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 191 207 1049 567 185 382 152 198
normalized size 1 2.25 2.44 12.34 6.67 2.18 4.49 1.79 2.33
time (sec) N/A 0.292 0.152 0.051 1.201 0.712 5.765 1.066 5.626
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 111 746 255 221 422 254 208
normalized size 1 1.00 0.77 5.18 1.77 1.53 2.93 1.76 1.44
time (sec) N/A 0.099 0.118 0.049 1.134 0.915 2.582 0.942 5.433
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 535 418 1287 885 355 889 340 545
normalized size 1 2.20 1.72 5.30 3.64 1.46 3.66 1.40 2.24
time (sec) N/A 0.898 0.470 0.052 1.690 0.786 6.988 0.742 7.084
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 631 452 1729 1721 672 1562 0 983
normalized size 1 1.73 1.24 4.74 4.72 1.84 4.28 0.00 2.69
time (sec) N/A 1.111 0.747 0.055 2.595 0.835 50.558 0.000 9.293
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 463 673 533 2182 2380 1011 2106 0 1443
normalized size 1 1.45 1.15 4.71 5.14 2.18 4.55 0.00 3.12
time (sec) N/A 1.406 1.176 0.051 2.789 1.062 51.406 0.000 12.777
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 563 825 637 2616 3816 1509 0 0 2291
normalized size 1 1.47 1.13 4.65 6.78 2.68 0.00 0.00 4.07
time (sec) N/A 1.695 1.893 0.053 5.652 1.077 0.000 0.000 16.594
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 539 622 905 0 3186 0 0 0 -1
normalized size 1 1.15 1.68 0.00 5.91 0.00 0.00 0.00 -0.00
time (sec) N/A 1.780 0.764 2.588 2.598 0.842 0.000 0.000 0.000
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 450 537 680 0 2243 0 0 0 -1
normalized size 1 1.19 1.51 0.00 4.98 0.00 0.00 0.00 -0.00
time (sec) N/A 1.490 0.541 2.091 2.245 0.942 0.000 0.000 0.000
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 1214 869 0 1252 0 0 0 -1
normalized size 1 3.54 2.53 0.00 3.65 0.00 0.00 0.00 -0.00
time (sec) N/A 2.817 0.732 1.821 2.172 0.929 0.000 0.000 0.000
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 283 205 0 633 0 0 0 -1
normalized size 1 1.39 1.01 0.00 3.12 0.00 0.00 0.00 -0.00
time (sec) N/A 0.433 0.197 1.579 1.965 0.715 0.000 0.000 0.000
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 644 987 0 0 0 0 0 -1
normalized size 1 2.25 3.45 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.939 1.301 1.869 0.000 0.605 0.000 0.000 0.000
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 705 1407 0 0 0 0 0 -1
normalized size 1 2.93 5.84 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.028 2.052 1.695 0.000 0.910 0.000 0.000 0.000
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 639 765 865 1987 289 714 185 469
normalized size 1 4.53 5.43 6.13 14.09 2.05 5.06 1.31 3.33
time (sec) N/A 1.940 0.911 0.048 2.388 0.850 14.310 1.295 6.183
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 741 1035 1765 3282 601 1387 437 955
normalized size 1 2.58 3.61 6.15 11.44 2.09 4.83 1.52 3.33
time (sec) N/A 2.291 1.041 0.048 3.462 0.843 29.462 1.321 7.701
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 445 826 1340 2689 4808 985 0 727 1870
normalized size 1 1.86 3.01 6.04 10.80 2.21 0.00 1.63 4.20
time (sec) N/A 2.611 1.628 0.051 5.054 1.003 0.000 1.672 10.820
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 711 790 1559 0 5178 0 0 0 -1
normalized size 1 1.11 2.19 0.00 7.28 0.00 0.00 0.00 -0.00
time (sec) N/A 3.006 1.375 2.857 2.990 0.967 0.000 0.000 0.000
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 761 666 1194 0 3656 0 0 0 -1
normalized size 1 0.88 1.57 0.00 4.80 0.00 0.00 0.00 -0.00
time (sec) N/A 2.396 0.950 2.559 2.625 0.773 0.000 0.000 0.000
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 589 570 677 0 2259 0 0 0 -1
normalized size 1 0.97 1.15 0.00 3.84 0.00 0.00 0.00 -0.00
time (sec) N/A 1.587 0.595 2.177 2.340 0.921 0.000 0.000 0.000
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 334 420 287 0 1202 0 0 0 -1
normalized size 1 1.26 0.86 0.00 3.60 0.00 0.00 0.00 -0.00
time (sec) N/A 0.532 0.220 1.829 2.031 1.087 0.000 0.000 0.000
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 535 1676 1987 0 0 0 0 0 -1
normalized size 1 3.13 3.71 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.123 3.674 2.113 0.000 0.795 0.000 0.000 0.000
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 442 1219 2652 0 0 0 0 0 -1
normalized size 1 2.76 6.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.887 6.915 2.138 0.000 0.584 0.000 0.000 0.000
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 932 3582 0 0 0 0 0 -1
normalized size 1 2.41 9.26 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.061 7.129 2.046 0.000 0.968 0.000 0.000 0.000
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 827 1355 890 5532 444 1182 180 1153
normalized size 1 5.63 9.22 6.05 37.63 3.02 8.04 1.22 7.84
time (sec) N/A 3.132 2.255 0.050 5.280 0.852 69.830 2.204 7.413
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 920 1788 1814 8031 837 2055 425 1940
normalized size 1 3.08 5.98 6.07 26.86 2.80 6.87 1.42 6.49
time (sec) N/A 3.691 3.104 0.048 8.094 0.886 134.614 2.825 11.199
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 463 1009 2220 2761 10880 1323 0 709 3434
normalized size 1 2.18 4.79 5.96 23.50 2.86 0.00 1.53 7.42
time (sec) N/A 4.219 4.697 0.052 12.026 0.684 0.000 3.090 12.769
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1089 896 2330 0 6921 0 0 0 -1
normalized size 1 0.82 2.14 0.00 6.36 0.00 0.00 0.00 -0.00
time (sec) N/A 4.270 3.599 2.031 3.442 0.909 0.000 0.000 0.000
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 908 825 1555 0 5196 0 0 0 -1
normalized size 1 0.91 1.71 0.00 5.72 0.00 0.00 0.00 -0.00
time (sec) N/A 3.022 1.381 2.812 2.862 1.378 0.000 0.000 0.000
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 730 655 901 0 3218 0 0 0 -1
normalized size 1 0.90 1.23 0.00 4.41 0.00 0.00 0.00 -0.00
time (sec) N/A 1.781 0.739 2.359 2.412 0.852 0.000 0.000 0.000
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 420 503 389 0 1789 0 0 0 -1
normalized size 1 1.20 0.93 0.00 4.26 0.00 0.00 0.00 -0.00
time (sec) N/A 0.617 0.309 1.974 2.186 0.640 0.000 0.000 0.000
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 712 1868 3984 0 0 0 0 0 -1
normalized size 1 2.62 5.60 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.687 4.139 2.321 0.000 0.661 0.000 0.000 0.000
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 692 1751 5108 0 0 0 0 0 -1
normalized size 1 2.53 7.38 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.816 17.471 2.254 0.000 0.865 0.000 0.000 0.000
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 604 1412 6284 0 0 0 0 0 -1
normalized size 1 2.34 10.40 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.926 14.249 2.288 0.000 0.630 0.000 0.000 0.000
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 970 2470 890 11688 559 0 185 1565
normalized size 1 6.60 16.80 6.05 79.51 3.80 0.00 1.26 10.65
time (sec) N/A 4.541 1.435 0.049 11.336 0.889 0.000 3.222 10.429
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 1061 2289 1814 15765 1045 0 437 3720
normalized size 1 3.55 7.66 6.07 52.73 3.49 0.00 1.46 12.44
time (sec) N/A 5.195 4.204 0.049 16.438 0.955 0.000 4.341 12.639
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B F(-1) B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 463 1152 2583 2762 0 1610 0 727 6275
normalized size 1 2.49 5.58 5.97 0.00 3.48 0.00 1.57 13.55
time (sec) N/A 6.077 6.255 0.055 0.000 0.877 0.000 3.692 14.174
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 718 1828 4802 0 0 0 0 0 -1
normalized size 1 2.55 6.69 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.616 1.901 2.284 0.000 0.722 0.000 0.000 0.000
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 536 1666 1514 0 0 0 0 0 -1
normalized size 1 3.11 2.82 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.825 1.735 1.955 0.000 0.704 0.000 0.000 0.000
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 1072 646 0 0 0 0 0 -1
normalized size 1 3.79 2.28 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.132 0.721 1.741 0.000 0.990 0.000 0.000 0.000
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 721 251 888 0 0 0 0 -1
normalized size 1 5.68 1.98 6.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 3.268 0.257 0.056 0.000 1.030 0.000 0.000 0.000
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 1163 79 312 397 87 206 145 96
normalized size 1 26.43 1.80 7.09 9.02 1.98 4.68 3.30 2.18
time (sec) N/A 5.531 0.370 0.052 1.353 0.875 1.626 0.681 5.760
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 1684 186 1201 1008 231 541 0 419
normalized size 1 9.20 1.02 6.56 5.51 1.26 2.96 0.00 2.29
time (sec) N/A 6.331 0.671 0.050 1.987 0.947 5.144 0.000 6.371
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 1899 318 2144 2115 540 1488 0 981
normalized size 1 5.54 0.93 6.25 6.17 1.57 4.34 0.00 2.86
time (sec) N/A 7.366 1.111 0.055 3.114 0.659 14.175 0.000 8.300
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 507 2044 442 3093 3434 940 2388 0 1882
normalized size 1 4.03 0.87 6.10 6.77 1.85 4.71 0.00 3.71
time (sec) N/A 8.431 1.458 0.053 4.371 0.861 55.104 0.000 11.446
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 722 2224 5193 0 0 0 0 0 -1
normalized size 1 3.08 7.19 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 6.150 7.415 2.181 0.000 0.908 0.000 0.000 0.000
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 469 1681 1969 0 0 0 0 0 -1
normalized size 1 3.58 4.20 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.093 4.208 1.969 0.000 0.586 0.000 0.000 0.000
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 1060 1107 0 0 0 0 0 -1
normalized size 1 4.06 4.24 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.242 1.708 1.609 0.000 1.178 0.000 0.000 0.000
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 472 315 1236 416 155 432 179 222
normalized size 1 3.11 2.07 8.13 2.74 1.02 2.84 1.18 1.46
time (sec) N/A 0.782 0.488 0.051 1.304 0.869 3.465 1.271 5.618
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 214 1687 187 1633 1004 236 539 349 423
normalized size 1 7.88 0.87 7.63 4.69 1.10 2.52 1.63 1.98
time (sec) N/A 6.471 0.742 0.053 1.922 0.897 6.195 1.441 6.275
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 365 1521 307 2572 1995 515 1404 0 731
normalized size 1 4.17 0.84 7.05 5.47 1.41 3.85 0.00 2.00
time (sec) N/A 7.176 1.102 0.055 2.615 0.921 9.761 0.000 7.202
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 523 2071 466 3538 4187 1005 0 0 1497
normalized size 1 3.96 0.89 6.76 8.01 1.92 0.00 0.00 2.86
time (sec) N/A 8.459 1.525 0.053 4.888 1.318 0.000 0.000 11.471
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 682 2222 613 4487 6160 1534 0 0 2701
normalized size 1 3.26 0.90 6.58 9.03 2.25 0.00 0.00 3.96
time (sec) N/A 9.479 2.245 0.055 7.923 1.002 0.000 0.000 13.572
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 635 1890 6052 0 0 0 0 0 -1
normalized size 1 2.98 9.53 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 6.241 7.861 2.153 0.000 0.875 0.000 0.000 0.000
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 410 1328 2950 0 0 0 0 0 -1
normalized size 1 3.24 7.20 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.266 5.113 1.878 0.000 1.262 0.000 0.000 0.000
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 634 767 2449 1966 295 712 273 474
normalized size 1 4.50 5.44 17.37 13.94 2.09 5.05 1.94 3.36
time (sec) N/A 1.961 0.910 0.051 2.520 0.892 13.796 1.503 6.404
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 296 577 444 1917 848 373 892 499 507
normalized size 1 1.95 1.50 6.48 2.86 1.26 3.01 1.69 1.71
time (sec) N/A 0.914 0.433 0.052 1.457 0.672 6.178 1.428 6.478
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 375 1899 290 2842 2116 545 1488 628 984
normalized size 1 5.06 0.77 7.58 5.64 1.45 3.97 1.67 2.62
time (sec) N/A 7.365 1.261 0.054 3.063 1.056 14.452 1.559 8.104
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 525 2071 453 3802 4188 1008 0 0 1505
normalized size 1 3.94 0.86 7.24 7.98 1.92 0.00 0.00 2.87
time (sec) N/A 8.417 1.551 0.055 4.820 0.931 0.000 0.000 11.558
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 685 1921 611 4782 5583 1517 3720 0 2155
normalized size 1 2.80 0.89 6.98 8.15 2.21 5.43 0.00 3.15
time (sec) N/A 9.579 2.196 0.055 5.717 0.962 127.920 0.000 14.311
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A B B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 851 2454 793 5731 9282 2257 0 0 3550
normalized size 1 2.88 0.93 6.73 10.91 2.65 0.00 0.00 4.17
time (sec) N/A 10.921 3.054 0.056 12.472 1.068 0.000 0.000 18.950
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 243 269 0 1118 720 0 3889 1237
normalized size 1 1.09 1.21 0.00 5.01 3.23 0.00 17.44 5.55
time (sec) N/A 0.386 0.260 0.347 1.509 1.069 0.000 6.401 5.620
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 210 225 0 740 529 0 2535 663
normalized size 1 1.11 1.18 0.00 3.89 2.78 0.00 13.34 3.49
time (sec) N/A 0.316 0.183 0.296 1.377 1.096 0.000 3.601 5.024
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B A F B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 311 189 0 393 309 756 1256 295
normalized size 1 2.09 1.27 0.00 2.64 2.07 5.07 8.43 1.98
time (sec) N/A 0.370 0.280 0.128 1.205 0.971 60.838 1.953 4.839
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 74 0 156 162 444 572 134
normalized size 1 1.00 0.86 0.00 1.81 1.88 5.16 6.65 1.56
time (sec) N/A 0.061 0.040 0.181 1.201 0.823 39.913 0.779 4.339
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 223 172 0 276 0 0 0 -1
normalized size 1 1.58 1.22 0.00 1.96 0.00 0.00 0.00 -0.01
time (sec) N/A 0.345 0.133 0.411 4.575 0.808 0.000 0.000 0.000
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 150 233 189 0 0 0 0 0 -1
normalized size 1 1.55 1.26 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.376 0.188 0.311 0.000 0.982 0.000 0.000 0.000
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F B B F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 201 216 0 582 250 0 98 204
normalized size 1 2.26 2.43 0.00 6.54 2.81 0.00 1.10 2.29
time (sec) N/A 0.286 0.171 0.313 1.255 0.862 0.000 7.179 5.253
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 236 196 0 945 478 0 230 374
normalized size 1 1.30 1.08 0.00 5.22 2.64 0.00 1.27 2.07
time (sec) N/A 0.341 0.452 0.310 2.116 0.628 0.000 11.765 5.276
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 269 220 0 1398 773 0 388 610
normalized size 1 0.96 0.78 0.00 4.98 2.75 0.00 1.38 2.17
time (sec) N/A 0.409 0.500 0.308 1.888 0.653 0.000 17.566 5.869
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 442 345 441 0 1978 1074 0 4589 2555
normalized size 1 0.78 1.00 0.00 4.48 2.43 0.00 10.38 5.78
time (sec) N/A 0.685 0.404 0.433 1.655 1.663 0.000 11.649 5.915
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 352 310 374 0 1336 774 0 2995 1328
normalized size 1 0.88 1.06 0.00 3.80 2.20 0.00 8.51 3.77
time (sec) N/A 0.543 0.282 0.435 1.426 1.164 0.000 7.343 5.138
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 250 210 224 0 740 530 0 1757 661
normalized size 1 0.84 0.90 0.00 2.96 2.12 0.00 7.03 2.64
time (sec) N/A 0.355 0.204 0.301 1.368 0.829 0.000 3.885 5.149
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 101 0 309 297 779 860 303
normalized size 1 1.00 0.81 0.00 2.49 2.40 6.28 6.94 2.44
time (sec) N/A 0.074 0.046 0.289 1.183 0.894 58.606 1.599 4.625
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 289 369 264 0 580 0 0 0 -1
normalized size 1 1.28 0.91 0.00 2.01 0.00 0.00 0.00 -0.00
time (sec) N/A 0.489 0.197 0.467 5.313 0.933 0.000 0.000 0.000
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 327 233 0 1190 0 0 0 -1
normalized size 1 1.26 0.90 0.00 4.59 0.00 0.00 0.00 -0.00
time (sec) N/A 0.523 0.254 0.455 4.349 0.731 0.000 0.000 0.000
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 242 354 258 0 0 0 0 0 -1
normalized size 1 1.46 1.07 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.560 0.347 0.452 0.000 0.911 0.000 0.000 0.000
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 301 329 0 1544 409 0 94 421
normalized size 1 3.24 3.54 0.00 16.60 4.40 0.00 1.01 4.53
time (sec) N/A 0.516 0.323 0.449 1.937 1.006 0.000 53.750 5.622
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 340 474 0 2247 710 0 222 652
normalized size 1 1.80 2.51 0.00 11.89 3.76 0.00 1.17 3.45
time (sec) N/A 0.600 0.423 0.461 2.862 0.868 0.000 78.923 6.075
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 293 375 357 0 3058 1087 0 376 954
normalized size 1 1.28 1.22 0.00 10.44 3.71 0.00 1.28 3.26
time (sec) N/A 0.721 1.052 0.450 3.176 1.000 0.000 110.702 6.708
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 477 435 631 0 2901 1336 0 5502 4476
normalized size 1 0.91 1.32 0.00 6.08 2.80 0.00 11.53 9.38
time (sec) N/A 0.992 0.672 0.436 1.889 2.590 0.000 15.017 6.558
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 387 345 441 0 1978 1075 0 3980 2547
normalized size 1 0.89 1.14 0.00 5.11 2.78 0.00 10.28 6.58
time (sec) N/A 0.700 0.343 0.448 1.684 1.496 0.000 10.147 6.256
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 243 269 0 1118 721 0 2374 1234
normalized size 1 0.86 0.95 0.00 3.95 2.55 0.00 8.39 4.36
time (sec) N/A 0.382 0.228 0.319 1.402 1.158 0.000 5.671 5.401
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 124 0 479 429 0 1282 588
normalized size 1 1.00 0.79 0.00 3.07 2.75 0.00 8.22 3.77
time (sec) N/A 0.086 0.075 0.291 1.185 0.646 0.000 2.455 4.976
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 373 455 368 0 935 0 0 0 -1
normalized size 1 1.22 0.99 0.00 2.51 0.00 0.00 0.00 -0.00
time (sec) N/A 0.600 0.285 0.450 4.613 0.915 0.000 0.000 0.000
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 390 543 394 0 1785 0 0 0 -1
normalized size 1 1.39 1.01 0.00 4.58 0.00 0.00 0.00 -0.00
time (sec) N/A 0.691 0.404 0.453 4.412 0.704 0.000 0.000 0.000
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 461 331 0 2746 0 0 0 -1
normalized size 1 1.28 0.92 0.00 7.61 0.00 0.00 0.00 -0.00
time (sec) N/A 0.709 0.487 0.455 5.097 0.700 0.000 0.000 0.000
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 444 326 0 0 0 0 0 -1
normalized size 1 1.36 1.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.794 0.465 0.453 0.000 0.818 0.000 0.000 0.000
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 269 426 370 0 1003 0 0 0 -1
normalized size 1 1.58 1.38 0.00 3.73 0.00 0.00 0.00 -0.00
time (sec) N/A 0.646 0.299 0.471 4.290 0.862 0.000 0.000 0.000
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 343 266 0 627 0 0 0 -1
normalized size 1 1.63 1.26 0.00 2.97 0.00 0.00 0.00 -0.00
time (sec) N/A 0.488 0.188 0.459 4.694 1.026 0.000 0.000 0.000
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 223 170 0 306 0 0 0 -1
normalized size 1 1.66 1.27 0.00 2.28 0.00 0.00 0.00 -0.01
time (sec) N/A 0.389 0.119 0.392 4.051 0.585 0.000 0.000 0.000
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 128 101 0 0 0 0 0 -1
normalized size 1 1.60 1.26 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.202 0.032 0.372 0.000 0.731 0.000 0.000 0.000
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 316 219 0 175 74 0 90 76
normalized size 1 6.32 4.38 0.00 3.50 1.48 0.00 1.80 1.52
time (sec) N/A 0.557 0.111 0.476 1.218 0.926 0.000 1.216 5.720
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 455 304 0 427 194 0 0 239
normalized size 1 2.51 1.68 0.00 2.36 1.07 0.00 0.00 1.32
time (sec) N/A 0.689 0.289 0.478 1.293 0.772 0.000 0.000 6.080
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 557 434 0 888 483 0 0 573
normalized size 1 2.09 1.63 0.00 3.34 1.82 0.00 0.00 2.15
time (sec) N/A 0.834 0.413 0.469 1.727 0.927 0.000 0.000 6.337
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 646 518 0 1472 859 0 0 986
normalized size 1 1.66 1.33 0.00 3.78 2.21 0.00 0.00 2.53
time (sec) N/A 1.077 0.717 0.474 2.357 0.990 0.000 0.000 7.235
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 541 375 0 1892 0 0 0 -1
normalized size 1 1.51 1.04 0.00 5.27 0.00 0.00 0.00 -0.00
time (sec) N/A 0.727 0.451 0.454 4.404 0.930 0.000 0.000 0.000
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 351 252 0 1273 0 0 0 -1
normalized size 1 1.28 0.92 0.00 4.63 0.00 0.00 0.00 -0.00
time (sec) N/A 0.532 0.254 0.451 4.920 0.854 0.000 0.000 0.000
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 234 183 0 0 0 0 0 -1
normalized size 1 1.39 1.09 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.387 0.183 0.314 0.000 0.883 0.000 0.000 0.000
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 107 114 0 136 105 0 84 113
normalized size 1 1.05 1.12 0.00 1.33 1.03 0.00 0.82 1.11
time (sec) N/A 0.079 0.059 0.314 1.303 0.614 0.000 1.712 4.836
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 450 304 0 424 196 0 180 241
normalized size 1 2.71 1.83 0.00 2.55 1.18 0.00 1.08 1.45
time (sec) N/A 0.679 0.354 0.474 1.426 0.926 0.000 4.499 4.816
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 273 482 342 0 862 450 0 0 432
normalized size 1 1.77 1.25 0.00 3.16 1.65 0.00 0.00 1.58
time (sec) N/A 0.830 0.453 0.470 1.475 0.658 0.000 0.000 5.461
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 380 656 478 0 1724 946 0 0 1016
normalized size 1 1.73 1.26 0.00 4.54 2.49 0.00 0.00 2.67
time (sec) N/A 1.087 0.762 0.472 2.403 0.662 0.000 0.000 7.381
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 477 735 549 0 2563 1458 0 0 1665
normalized size 1 1.54 1.15 0.00 5.37 3.06 0.00 0.00 3.49
time (sec) N/A 1.357 1.538 0.471 3.461 1.012 0.000 0.000 9.933
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 382 461 334 0 2894 0 0 0 -1
normalized size 1 1.21 0.87 0.00 7.58 0.00 0.00 0.00 -0.00
time (sec) N/A 0.745 0.448 0.459 5.518 0.692 0.000 0.000 0.000
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 356 259 0 0 0 0 0 -1
normalized size 1 1.35 0.98 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.597 0.344 0.436 0.000 0.752 0.000 0.000 0.000
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F B B F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 201 215 0 578 250 0 97 205
normalized size 1 2.26 2.42 0.00 6.49 2.81 0.00 1.09 2.30
time (sec) N/A 0.317 0.163 0.312 1.530 0.938 0.000 9.470 5.493
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 115 0 259 266 0 187 221
normalized size 1 1.00 0.76 0.00 1.72 1.76 0.00 1.24 1.46
time (sec) N/A 0.104 0.140 0.311 1.457 0.906 0.000 1.645 4.965
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 557 434 0 888 487 0 370 573
normalized size 1 2.19 1.71 0.00 3.50 1.92 0.00 1.46 2.26
time (sec) N/A 0.869 0.422 0.473 1.981 0.919 0.000 4.008 6.652
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 381 657 477 0 1724 949 0 0 1018
normalized size 1 1.72 1.25 0.00 4.52 2.49 0.00 0.00 2.67
time (sec) N/A 1.083 0.787 0.471 2.764 0.981 0.000 0.000 7.534
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 483 701 561 0 2383 1416 0 0 1341
normalized size 1 1.45 1.16 0.00 4.93 2.93 0.00 0.00 2.78
time (sec) N/A 1.389 1.280 0.471 2.516 1.053 0.000 0.000 7.930
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 587 859 671 0 3819 2181 0 0 2400
normalized size 1 1.46 1.14 0.00 6.51 3.72 0.00 0.00 4.09
time (sec) N/A 1.691 2.033 0.470 4.954 1.006 0.000 0.000 10.216
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 584 670 949 0 3764 0 0 0 -1
normalized size 1 1.15 1.62 0.00 6.45 0.00 0.00 0.00 -0.00
time (sec) N/A 1.901 0.908 0.308 7.667 0.908 0.000 0.000 0.000
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 487 578 716 0 2691 0 0 0 -1
normalized size 1 1.19 1.47 0.00 5.53 0.00 0.00 0.00 -0.00
time (sec) N/A 1.586 0.573 0.304 6.916 0.818 0.000 0.000 0.000
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 372 1323 937 0 1542 0 0 0 -1
normalized size 1 3.56 2.52 0.00 4.15 0.00 0.00 0.00 -0.00
time (sec) N/A 2.878 0.744 0.124 6.924 0.902 0.000 0.000 0.000
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 220 307 216 0 825 0 0 0 -1
normalized size 1 1.40 0.98 0.00 3.75 0.00 0.00 0.00 -0.00
time (sec) N/A 0.481 0.187 0.113 6.645 0.740 0.000 0.000 0.000
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 306 692 742 0 0 0 0 0 -1
normalized size 1 2.26 2.42 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.874 1.960 0.312 0.000 0.924 0.000 0.000 0.000
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 766 1556 0 0 0 0 0 -1
normalized size 1 2.93 5.96 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.945 3.207 0.314 0.000 0.989 0.000 0.000 0.000
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 691 801 0 2017 600 0 185 561
normalized size 1 4.58 5.30 0.00 13.36 3.97 0.00 1.23 3.72
time (sec) N/A 2.055 0.909 0.321 2.244 0.981 0.000 18.434 6.821
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 307 800 1079 0 3312 1167 0 481 993
normalized size 1 2.61 3.51 0.00 10.79 3.80 0.00 1.57 3.23
time (sec) N/A 2.432 1.217 0.314 3.500 0.744 0.000 25.968 7.857
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 475 892 1392 0 4838 1868 0 841 1794
normalized size 1 1.88 2.93 0.00 10.19 3.93 0.00 1.77 3.78
time (sec) N/A 2.875 1.359 0.313 4.867 1.143 0.000 38.004 9.741
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 766 848 1634 0 5952 0 0 0 -1
normalized size 1 1.11 2.13 0.00 7.77 0.00 0.00 0.00 -0.00
time (sec) N/A 3.348 1.542 0.465 8.098 1.000 0.000 0.000 0.000
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 819 714 1254 0 4247 0 0 0 -1
normalized size 1 0.87 1.53 0.00 5.19 0.00 0.00 0.00 -0.00
time (sec) N/A 2.609 1.019 0.473 7.580 1.063 0.000 0.000 0.000
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 635 614 713 0 2662 0 0 0 -1
normalized size 1 0.97 1.12 0.00 4.19 0.00 0.00 0.00 -0.00
time (sec) N/A 1.657 0.642 0.311 7.607 0.950 0.000 0.000 0.000
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 361 454 303 0 1473 0 0 0 -1
normalized size 1 1.26 0.84 0.00 4.08 0.00 0.00 0.00 -0.00
time (sec) N/A 0.543 0.268 0.299 6.457 1.025 0.000 0.000 0.000
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 572 1790 1654 0 0 0 0 0 -1
normalized size 1 3.13 2.89 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.081 3.252 0.455 0.000 1.072 0.000 0.000 0.000
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 472 1309 2834 0 0 0 0 0 -1
normalized size 1 2.77 6.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.765 12.396 0.452 0.000 1.121 0.000 0.000 0.000
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 417 1003 4761 0 0 0 0 0 -1
normalized size 1 2.41 11.42 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.841 13.701 0.451 0.000 1.152 0.000 0.000 0.000
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 157 889 1415 0 5588 975 0 176 1195
normalized size 1 5.66 9.01 0.00 35.59 6.21 0.00 1.12 7.61
time (sec) N/A 3.170 2.241 0.456 4.967 1.002 0.000 110.181 7.477
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 319 989 1860 0 8087 1729 0 461 1934
normalized size 1 3.10 5.83 0.00 25.35 5.42 0.00 1.45 6.06
time (sec) N/A 3.789 3.280 0.458 7.605 0.942 0.000 163.533 9.424
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 493 1085 2320 0 10936 2633 0 0 3296
normalized size 1 2.20 4.71 0.00 22.18 5.34 0.00 0.00 6.69
time (sec) N/A 4.316 3.924 0.454 11.751 1.187 0.000 0.000 11.154
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1172 961 2448 0 7845 0 0 0 -1
normalized size 1 0.82 2.09 0.00 6.69 0.00 0.00 0.00 -0.00
time (sec) N/A 4.479 3.572 0.480 6.360 1.026 0.000 0.000 0.000
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 976 886 1627 0 5931 0 0 0 -1
normalized size 1 0.91 1.67 0.00 6.08 0.00 0.00 0.00 -0.00
time (sec) N/A 3.198 1.562 0.464 5.593 1.054 0.000 0.000 0.000
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 786 706 945 0 3724 0 0 0 -1
normalized size 1 0.90 1.20 0.00 4.74 0.00 0.00 0.00 -0.00
time (sec) N/A 1.930 0.764 0.320 5.490 0.949 0.000 0.000 0.000
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 454 544 409 0 2129 0 0 0 -1
normalized size 1 1.20 0.90 0.00 4.69 0.00 0.00 0.00 -0.00
time (sec) N/A 0.664 0.321 0.302 4.976 0.689 0.000 0.000 0.000
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 762 1995 2941 0 0 0 0 0 -1
normalized size 1 2.62 3.86 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.624 5.203 0.452 0.000 0.736 0.000 0.000 0.000
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 739 1875 4942 0 0 0 0 0 -1
normalized size 1 2.54 6.69 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.738 14.828 0.452 0.000 0.834 0.000 0.000 0.000
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 644 1512 6221 0 0 0 0 0 -1
normalized size 1 2.35 9.66 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.811 25.237 0.454 0.000 0.750 0.000 0.000 0.000
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 561 1170 8775 0 0 0 0 0 -1
normalized size 1 2.09 15.64 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.093 8.166 0.454 0.000 0.918 0.000 0.000 0.000
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 768 1952 3265 0 0 0 0 0 -1
normalized size 1 2.54 4.25 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.585 4.335 0.471 0.000 0.929 0.000 0.000 0.000
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 573 1780 1741 0 0 0 0 0 -1
normalized size 1 3.11 3.04 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.746 1.653 0.456 0.000 0.883 0.000 0.000 0.000
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 303 1156 802 0 0 0 0 0 -1
normalized size 1 3.82 2.65 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.032 0.698 0.312 0.000 0.657 0.000 0.000 0.000
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 782 306 0 0 0 0 0 -1
normalized size 1 5.71 2.23 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 3.172 0.279 0.316 0.000 0.884 0.000 0.000 0.000
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C A F B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 1237 90 0 407 149 0 162 122
normalized size 1 24.74 1.80 0.00 8.14 2.98 0.00 3.24 2.44
time (sec) N/A 5.322 0.391 0.470 1.192 0.916 0.000 1.659 5.680
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 1800 793 0 1018 428 0 0 361
normalized size 1 9.05 3.98 0.00 5.12 2.15 0.00 0.00 1.81
time (sec) N/A 6.088 0.829 0.472 1.222 0.961 0.000 0.000 5.852
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 369 2025 975 0 2126 1068 0 0 1011
normalized size 1 5.49 2.64 0.00 5.76 2.89 0.00 0.00 2.74
time (sec) N/A 7.197 1.399 0.479 2.116 1.000 0.000 0.000 8.489
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 543 2180 1295 0 3445 1910 0 0 1921
normalized size 1 4.01 2.38 0.00 6.34 3.52 0.00 0.00 3.54
time (sec) N/A 8.354 1.918 0.471 2.978 0.884 0.000 0.000 10.342
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 770 2384 4312 0 0 0 0 0 -1
normalized size 1 3.10 5.60 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 6.015 8.913 0.442 0.000 0.940 0.000 0.000 0.000
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 500 1807 2196 0 0 0 0 0 -1
normalized size 1 3.61 4.39 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.981 5.026 0.467 0.000 0.546 0.000 0.000 0.000
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 282 1157 1261 0 0 0 0 0 -1
normalized size 1 4.10 4.47 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 4.172 1.985 0.319 0.000 0.871 0.000 0.000 0.000
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 514 331 0 428 263 0 156 237
normalized size 1 3.15 2.03 0.00 2.63 1.61 0.00 0.96 1.45
time (sec) N/A 0.756 0.448 0.319 0.922 0.746 0.000 4.781 6.268
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 1803 789 0 1014 432 0 314 365
normalized size 1 7.81 3.42 0.00 4.39 1.87 0.00 1.36 1.58
time (sec) N/A 6.112 0.996 0.478 1.289 0.824 0.000 8.062 5.798
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 392 1621 870 0 2006 983 0 0 -1
normalized size 1 4.14 2.22 0.00 5.12 2.51 0.00 0.00 -0.00
time (sec) N/A 6.812 1.390 0.477 1.803 1.012 0.000 0.000 0.000
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 560 2207 1340 0 4198 2052 0 0 1784
normalized size 1 3.94 2.39 0.00 7.50 3.66 0.00 0.00 3.19
time (sec) N/A 8.150 1.987 0.474 4.814 1.071 0.000 0.000 10.278
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 729 2368 1695 0 6171 3183 0 0 3157
normalized size 1 3.25 2.33 0.00 8.47 4.37 0.00 0.00 4.33
time (sec) N/A 9.291 3.039 0.470 7.495 1.281 0.000 0.000 11.670
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 676 2026 5730 0 0 0 0 0 -1
normalized size 1 3.00 8.48 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 6.201 9.800 0.452 0.000 0.886 0.000 0.000 0.000
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B B F F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 441 1435 3172 0 0 0 0 0 -1
normalized size 1 3.25 7.19 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 5.123 6.592 0.456 0.000 0.905 0.000 0.000 0.000
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 686 803 0 1995 600 0 186 565
normalized size 1 4.54 5.32 0.00 13.21 3.97 0.00 1.23 3.74
time (sec) N/A 1.996 0.987 0.314 2.350 0.871 0.000 19.661 7.496
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C C F B B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 317 626 464 0 861 654 0 371 505
normalized size 1 1.97 1.46 0.00 2.72 2.06 0.00 1.17 1.59
time (sec) N/A 0.879 0.436 0.314 1.560 0.991 0.000 4.172 6.670
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 402 2025 971 0 2126 1076 0 664 1007
normalized size 1 5.04 2.42 0.00 5.29 2.68 0.00 1.65 2.50
time (sec) N/A 7.043 1.374 0.474 2.747 1.086 0.000 8.669 8.731
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 562 2207 1334 0 4199 2057 0 0 1785
normalized size 1 3.93 2.37 0.00 7.47 3.66 0.00 0.00 3.18
time (sec) N/A 8.134 2.152 0.473 4.833 0.739 0.000 0.000 10.139
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 732 2041 1653 0 5594 3062 0 0 2419
normalized size 1 2.79 2.26 0.00 7.64 4.18 0.00 0.00 3.30
time (sec) N/A 9.227 2.674 0.474 5.556 1.323 0.000 0.000 11.667
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A C B F B B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 908 2610 2138 0 9293 4725 0 0 4649
normalized size 1 2.87 2.35 0.00 10.23 5.20 0.00 0.00 5.12
time (sec) N/A 10.511 4.245 0.476 11.575 1.218 0.000 0.000 13.701
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F(-1) F F F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 189 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.975 0.553 180.000 0.000 0.753 0.000 0.000 0.000
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 190 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.884 0.574 3.526 0.000 0.873 0.000 0.000 0.000
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 292 0 206 0 0 2680 0 0 -1
normalized size 1 0.00 0.71 0.00 0.00 9.18 0.00 0.00 -0.00
time (sec) N/A 1.977 6.955 8.687 0.000 1.021 0.000 0.000 0.000
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 210 0 134 0 0 991 0 0 -1
normalized size 1 0.00 0.64 0.00 0.00 4.72 0.00 0.00 -0.00
time (sec) N/A 1.215 2.016 7.855 0.000 1.082 0.000 0.000 0.000
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 168 78 0 0 274 0 0 -1
normalized size 1 1.31 0.61 0.00 0.00 2.14 0.00 0.00 -0.01
time (sec) N/A 0.616 0.519 8.817 0.000 0.907 0.000 0.000 0.000
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F A F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 125 0 0 0 0 98 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.78 0.00 0.00 -0.01
time (sec) N/A 0.737 0.247 4.210 0.000 0.832 0.000 0.000 0.000
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F(-1) F A F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 206 0 0 0 0 293 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 1.42 0.00 0.00 -0.00
time (sec) N/A 0.826 0.276 180.000 0.000 1.002 0.000 0.000 0.000
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F(-1) F B F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 295 0 0 0 0 818 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 2.77 0.00 0.00 -0.00
time (sec) N/A 0.815 0.335 180.000 0.000 1.082 0.000 0.000 0.000
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 309 0 206 0 0 2669 0 0 -1
normalized size 1 0.00 0.67 0.00 0.00 8.64 0.00 0.00 -0.00
time (sec) N/A 2.055 7.181 8.714 0.000 0.810 0.000 0.000 0.000
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F A F F B F(-1) F F
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 223 0 134 0 0 983 0 0 -1
normalized size 1 0.00 0.60 0.00 0.00 4.41 0.00 0.00 -0.00
time (sec) N/A 1.159 2.091 7.781 0.000 1.026 0.000 0.000 0.000
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 170 78 0 0 269 0 0 -1
normalized size 1 1.24 0.57 0.00 0.00 1.96 0.00 0.00 -0.01
time (sec) N/A 0.616 0.527 8.295 0.000 1.054 0.000 0.000 0.000
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F A F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 128 0 0 0 0 93 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.73 0.00 0.00 -0.01
time (sec) N/A 0.695 0.249 3.997 0.000 0.823 0.000 0.000 0.000
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F(-1) F A F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 214 0 0 0 0 284 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 1.33 0.00 0.00 -0.00
time (sec) N/A 0.776 0.274 180.000 0.000 0.623 0.000 0.000 0.000
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F(-1) F B F(-1) F F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 306 0 0 0 0 815 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 2.66 0.00 0.00 -0.00
time (sec) N/A 0.757 0.335 180.000 0.000 0.933 0.000 0.000 0.000
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 40 0 0 65 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 1.59 0.00 0.00 -0.02
time (sec) N/A 0.108 0.028 0.500 0.000 0.693 0.000 0.000 0.000
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 40 0 0 65 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 1.59 0.00 0.00 -0.02
time (sec) N/A 0.041 0.012 0.862 0.000 1.227 0.000 0.000 0.000
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F(-1) F(-2) F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 193 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.811 0.445 3.346 0.000 0.874 0.000 0.000 0.000
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A F F F F F F(-1) F(-2) F
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 194 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.711 0.406 3.240 0.000 0.820 0.000 0.000 0.000
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 64288 766 375 0 0 141
normalized size 1 1.00 0.96 1428.62 17.02 8.33 0.00 0.00 3.13
time (sec) N/A 0.118 0.021 35.349 1.778 0.799 0.000 0.000 5.747
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 11062 387 188 0 0 100
normalized size 1 1.00 0.96 245.82 8.60 4.18 0.00 0.00 2.22
time (sec) N/A 0.112 0.017 3.775 1.465 0.823 0.000 0.000 4.773
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 1152 151 72 0 0 71
normalized size 1 1.00 0.96 25.60 3.36 1.60 0.00 0.00 1.58
time (sec) N/A 0.082 0.013 0.607 1.203 1.133 0.000 0.000 4.669
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 39 368 49 45 0 38 40
normalized size 1 1.00 0.95 8.98 1.20 1.10 0.00 0.93 0.98
time (sec) N/A 0.122 0.093 0.191 2.328 0.899 0.000 0.166 4.657
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 41 366 81 86 0 95 42
normalized size 1 1.00 0.95 8.51 1.88 2.00 0.00 2.21 0.98
time (sec) N/A 0.122 0.022 0.178 2.471 0.612 0.000 0.180 4.492
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 43 366 220 238 0 301 72
normalized size 1 1.00 0.96 8.13 4.89 5.29 0.00 6.69 1.60
time (sec) N/A 0.122 0.021 0.175 3.187 0.743 0.000 0.245 4.543
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 47 0 0 81 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 1.65 0.00 0.00 -0.02
time (sec) N/A 0.149 0.029 12.796 0.000 0.927 0.000 0.000 0.000
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 51 0 0 85 0 0 -1
normalized size 1 1.00 0.93 0.00 0.00 1.55 0.00 0.00 -0.02
time (sec) N/A 0.216 0.056 12.590 0.000 0.790 0.000 0.000 0.000
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 50 0 0 83 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 1.60 0.00 0.00 -0.02
time (sec) N/A 0.106 0.013 14.174 0.000 1.034 0.000 0.000 0.000
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 39 368 49 45 0 38 40
normalized size 1 1.00 0.95 8.98 1.20 1.10 0.00 0.93 0.98
time (sec) N/A 0.123 0.068 0.054 2.293 0.736 0.000 0.177 0.002
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 43 374 53 51 0 42 44
normalized size 1 1.00 0.91 7.96 1.13 1.09 0.00 0.89 0.94
time (sec) N/A 0.166 0.150 0.198 1.690 0.908 0.000 0.239 4.429
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A C A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 42 371 51 48 0 40 42
normalized size 1 1.00 0.95 8.43 1.16 1.09 0.00 0.91 0.95
time (sec) N/A 0.078 0.069 0.209 1.583 0.978 0.000 0.173 4.514
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 88 88 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.110 0.400 0.872 0.000 0.849 0.000 0.000 0.000
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 0 0 110 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.47 0.00 0.00 -0.01
time (sec) N/A 0.075 0.028 0.477 0.000 0.869 0.000 0.000 0.000
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 0 0 88 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.17 0.00 0.00 -0.01
time (sec) N/A 0.073 0.027 0.438 0.000 0.957 0.000 0.000 0.000
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 0 0 66 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.88 0.00 0.00 -0.01
time (sec) N/A 0.050 0.021 0.302 0.000 0.817 0.000 0.000 0.000
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 72 0 0 40 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.56 0.00 0.00 -0.01
time (sec) N/A 0.032 0.074 0.306 0.000 0.854 0.000 0.000 0.000
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 34 0 37 34 160 82 33
normalized size 1 1.00 1.03 0.00 1.12 1.03 4.85 2.48 1.00
time (sec) N/A 0.075 0.075 0.470 1.687 0.931 82.020 0.519 4.477
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 71 0 0 40 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.56 0.00 0.00 -0.01
time (sec) N/A 0.029 0.072 0.304 0.000 1.074 0.000 0.000 0.000
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 0 0 66 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.88 0.00 0.00 -0.01
time (sec) N/A 0.047 0.016 0.306 0.000 1.000 0.000 0.000 0.000
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A A F F A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 75 0 0 88 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.17 0.00 0.00 -0.01
time (sec) N/A 0.070 0.018 0.436 0.000 0.633 0.000 0.000 0.000
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 361 1021 0 0 0 0 0 0 -1
normalized size 1 2.83 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.926 4.406 5.970 0.000 1.088 0.000 0.000 0.000
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 282 656 0 0 0 0 0 0 -1
normalized size 1 2.33 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.211 3.235 3.188 0.000 1.025 0.000 0.000 0.000
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 371 1415 0 0 0 0 0 -1
normalized size 1 1.83 6.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.762 1.050 3.174 0.000 1.045 0.000 0.000 0.000
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 163 304 1447 0 0 0 0 -1
normalized size 1 1.33 2.47 11.76 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.365 0.311 0.359 0.000 0.861 0.000 0.000 0.000
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.427 0.164 7.587 0.000 0.722 0.000 0.000 0.000
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.480 0.349 8.959 0.000 0.600 0.000 0.000 0.000
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 298 42 357 32 0 0 -1
normalized size 1 1.00 9.03 1.27 10.82 0.97 0.00 0.00 -0.03
time (sec) N/A 0.095 0.190 0.047 0.853 0.906 0.000 0.000 0.000
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 320 45 344 38 0 0 -1
normalized size 1 1.00 11.85 1.67 12.74 1.41 0.00 0.00 -0.04
time (sec) N/A 0.066 0.256 0.047 0.763 1.028 0.000 0.000 0.000
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 320 45 336 38 0 0 -1
normalized size 1 1.00 11.85 1.67 12.44 1.41 0.00 0.00 -0.04
time (sec) N/A 0.118 0.187 0.046 0.813 0.682 0.000 0.000 0.000
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B A B A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 320 45 343 38 0 0 -1
normalized size 1 1.00 11.85 1.67 12.70 1.41 0.00 0.00 -0.04
time (sec) N/A 0.117 0.176 0.048 0.823 0.690 0.000 0.000 0.000
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A B F F F F F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 282 656 0 0 0 0 0 0 -1
normalized size 1 2.33 0.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.312 2.864 3.682 0.000 0.760 0.000 0.000 0.000
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 371 1415 0 0 0 0 0 -1
normalized size 1 1.83 6.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.819 0.898 4.399 0.000 1.004 0.000 0.000 0.000
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade A A B C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 163 303 1447 0 0 0 0 -1
normalized size 1 1.33 2.46 11.76 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.394 0.268 0.338 0.000 0.972 0.000 0.000 0.000
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 83 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.431 0.133 12.992 0.000 0.677 0.000 0.000 0.000
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad
grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 83 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.460 0.271 5.410 0.000 0.876 0.000 0.000 0.000

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 [89] had the largest ratio of [.7381]

Table 2.1:Rubi specific breakdown of results for each integral
# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 10 4 1.09 38 0.105
2 A 10 4 1.11 38 0.105
3 B 13 6 2.10 36 0.167
4 A 4 3 1.00 28 0.107
5 A 14 11 1.60 38 0.290
6 A 15 11 1.56 38 0.290
7 B 10 4 2.25 38 0.105
8 A 10 4 1.30 38 0.105
9 A 10 4 0.96 38 0.105
10 A 14 4 0.78 40 0.100
11 A 14 4 0.88 40 0.100
12 A 10 4 0.84 38 0.105
13 A 4 3 1.00 30 0.100
14 A 19 13 1.28 40 0.325
15 A 18 13 1.27 40 0.325
16 A 19 11 1.47 40 0.275
17 B 14 4 3.22 40 0.100
18 A 14 4 1.80 40 0.100
19 A 14 4 1.28 40 0.100
20 A 18 4 0.91 40 0.100
21 A 14 4 0.89 40 0.100
22 A 10 4 0.86 38 0.105
23 A 4 3 1.00 30 0.100
24 A 23 13 1.22 40 0.325
25 A 22 14 1.40 40 0.350
26 A 22 13 1.28 40 0.325
27 A 23 11 1.37 40 0.275
28 B 18 4 4.19 40 0.100
29 B 18 4 2.26 40 0.100
30 A 18 4 1.58 40 0.100
31 A 23 13 1.62 40 0.325
32 A 19 13 1.66 40 0.325
33 A 14 11 1.70 38 0.290
34 A 10 8 1.61 30 0.267
35 C 20 9 6.91 40 0.225
36 C 24 11 2.53 40 0.275
37 C 28 11 2.10 40 0.275
38 C 32 11 1.66 40 0.275
39 A 22 14 1.52 40 0.350
40 A 18 13 1.29 40 0.325
41 A 15 11 1.39 38 0.290
42 A 4 3 1.03 30 0.100
43 C 24 11 2.77 40 0.275
44 C 28 11 1.77 40 0.275
45 C 32 11 1.73 40 0.275
46 C 36 11 1.54 40 0.275
47 A 22 13 1.22 40 0.325
48 A 19 11 1.35 40 0.275
49 B 10 4 2.25 38 0.105
50 A 4 3 1.00 30 0.100
51 C 28 11 2.20 40 0.275
52 C 32 11 1.73 40 0.275
53 C 36 11 1.45 40 0.275
54 C 40 11 1.47 40 0.275
55 A 54 13 1.15 40 0.325
56 A 46 13 1.19 40 0.325
57 B 78 14 3.54 38 0.368
58 A 16 12 1.39 30 0.400
59 B 39 19 2.25 40 0.475
60 B 43 20 2.93 40 0.500
61 C 58 11 4.53 40 0.275
62 C 66 11 2.58 40 0.275
63 C 74 11 1.86 40 0.275
64 A 86 13 1.11 42 0.310
65 A 74 13 0.88 42 0.310
66 A 46 13 0.97 40 0.325
67 A 20 13 1.26 32 0.406
68 B 86 27 3.13 42 0.643
69 B 65 21 2.76 42 0.500
70 B 73 20 2.41 42 0.476
71 C 92 11 5.63 42 0.262
72 C 104 11 3.08 42 0.262
73 C 116 11 2.18 42 0.262
74 A 122 13 0.82 42 0.310
75 A 86 13 0.91 42 0.310
76 A 54 13 0.90 40 0.325
77 A 24 13 1.20 32 0.406
78 B 106 28 2.62 42 0.667
79 B 90 23 2.53 42 0.548
80 B 95 21 2.34 42 0.500
81 C 130 11 6.60 42 0.262
82 C 146 11 3.55 42 0.262
83 C 162 11 2.49 42 0.262
84 B 106 28 2.55 42 0.667
85 B 86 27 3.11 42 0.643
86 B 68 24 3.79 40 0.600
87 B 46 23 5.68 32 0.719
88 C 61 29 26.43 42 0.690
89 C 87 31 9.20 42 0.738
90 C 117 31 5.54 42 0.738
91 C 151 31 4.03 42 0.738
92 B 119 28 3.08 42 0.667
93 B 94 26 3.58 42 0.619
94 B 72 25 4.06 40 0.625
95 C 26 11 3.11 32 0.344
96 C 87 31 7.88 42 0.738
97 C 113 31 4.17 42 0.738
98 C 143 31 3.96 42 0.738
99 C 177 31 3.26 42 0.738
100 B 124 26 2.98 42 0.619
101 B 102 25 3.24 42 0.595
102 C 58 11 4.50 40 0.275
103 C 30 11 1.95 32 0.344
104 C 117 31 5.06 42 0.738
105 C 143 31 3.94 42 0.738
106 C 173 31 2.80 42 0.738
107 C 207 31 2.88 42 0.738
108 A 10 4 1.09 41 0.098
109 A 10 4 1.11 41 0.098
110 B 13 6 2.09 39 0.154
111 A 4 3 1.00 31 0.097
112 A 13 10 1.58 41 0.244
113 A 14 11 1.55 41 0.268
114 B 10 4 2.26 41 0.098
115 A 10 4 1.30 41 0.098
116 A 10 4 0.96 41 0.098
117 A 14 4 0.78 43 0.093
118 A 14 4 0.88 43 0.093
119 A 10 4 0.84 41 0.098
120 A 4 3 1.00 33 0.091
121 A 18 13 1.28 43 0.302
122 A 17 13 1.26 43 0.302
123 A 18 11 1.46 43 0.256
124 B 14 4 3.24 43 0.093
125 A 14 4 1.80 43 0.093
126 A 14 4 1.28 43 0.093
127 A 18 4 0.91 43 0.093
128 A 14 4 0.89 43 0.093
129 A 10 4 0.86 41 0.098
130 A 4 3 1.00 33 0.091
131 A 22 13 1.22 43 0.302
132 A 21 14 1.39 43 0.326
133 A 21 13 1.28 43 0.302
134 A 22 11 1.36 43 0.256
135 A 22 13 1.58 43 0.302
136 A 18 13 1.63 43 0.302
137 A 13 10 1.66 41 0.244
138 A 9 8 1.60 33 0.242
139 C 18 8 6.32 43 0.186
140 C 22 11 2.51 43 0.256
141 C 26 11 2.09 43 0.256
142 C 30 11 1.66 43 0.256
143 A 21 14 1.51 43 0.326
144 A 17 13 1.28 43 0.302
145 A 14 11 1.39 41 0.268
146 A 4 3 1.05 33 0.091
147 C 22 11 2.71 43 0.256
148 C 26 11 1.77 43 0.256
149 C 30 11 1.73 43 0.256
150 C 34 11 1.54 43 0.256
151 A 21 13 1.21 43 0.302
152 A 18 11 1.35 43 0.256
153 B 10 4 2.26 41 0.098
154 A 4 3 1.00 33 0.091
155 C 26 11 2.19 43 0.256
156 C 30 11 1.72 43 0.256
157 C 34 11 1.45 43 0.256
158 C 38 11 1.46 43 0.256
159 A 52 13 1.15 43 0.302
160 A 44 13 1.19 43 0.302
161 B 72 14 3.56 41 0.342
162 A 15 12 1.40 33 0.364
163 B 36 19 2.26 43 0.442
164 B 40 20 2.93 43 0.465
165 C 54 11 4.58 43 0.256
166 C 62 11 2.61 43 0.256
167 C 70 11 1.88 43 0.256
168 A 83 13 1.11 45 0.289
169 A 71 13 0.87 45 0.289
170 A 44 13 0.97 43 0.302
171 A 19 13 1.26 35 0.371
172 B 82 27 3.13 45 0.600
173 B 60 21 2.77 45 0.467
174 B 68 20 2.41 45 0.444
175 C 86 11 5.66 45 0.244
176 C 98 11 3.10 45 0.244
177 C 110 11 2.20 45 0.244
178 A 118 13 0.82 45 0.289
179 A 83 13 0.91 45 0.289
180 A 52 13 0.90 43 0.302
181 A 23 13 1.20 35 0.371
182 B 101 28 2.62 45 0.622
183 B 83 23 2.54 45 0.511
184 B 88 21 2.35 45 0.467
185 B 100 20 2.09 45 0.444
186 B 101 28 2.54 45 0.622
187 B 82 27 3.11 45 0.600
188 B 65 24 3.82 43 0.558
189 B 45 23 5.71 35 0.657
190 C 59 29 24.74 45 0.644
191 C 83 31 9.05 45 0.689
192 C 111 31 5.49 45 0.689
193 C 143 31 4.01 45 0.689
194 B 112 28 3.10 45 0.622
195 B 89 26 3.61 45 0.578
196 B 69 25 4.10 43 0.581
197 C 24 11 3.15 35 0.314
198 C 83 31 7.81 45 0.689
199 C 107 31 4.14 45 0.689
200 C 135 31 3.94 45 0.689
201 C 167 31 3.25 45 0.689
202 B 117 26 3.00 45 0.578
203 B 97 25 3.25 45 0.556
204 C 54 11 4.54 43 0.256
205 C 28 11 1.97 35 0.314
206 C 111 31 5.04 45 0.689
207 C 135 31 3.93 45 0.689
208 C 163 31 2.79 45 0.689
209 C 195 31 2.87 45 0.689
210 F 0 0 N/A 0 N/A
211 F 0 0 N/A 0 N/A
212 F 0 0 N/A 0 N/A
213 F 0 0 N/A 0 N/A
214 A 6 4 1.31 47 0.085
215 F 0 0 N/A 0 N/A
216 F 0 0 N/A 0 N/A
217 F 0 0 N/A 0 N/A
218 F 0 0 N/A 0 N/A
219 F 0 0 N/A 0 N/A
220 A 6 4 1.24 47 0.085
221 F 0 0 N/A 0 N/A
222 F 0 0 N/A 0 N/A
223 F 0 0 N/A 0 N/A
224 A 1 1 1.00 35 0.029
225 A 1 1 1.00 42 0.024
226 F 0 0 N/A 0 N/A
227 F 0 0 N/A 0 N/A
228 A 1 1 1.00 40 0.025
229 A 1 1 1.00 40 0.025
230 A 1 1 1.00 38 0.026
231 A 1 1 1.00 40 0.025
232 A 1 1 1.00 40 0.025
233 A 1 1 1.00 40 0.025
234 A 1 1 1.00 40 0.025
235 A 1 1 1.00 46 0.022
236 A 1 1 1.00 50 0.020
237 A 1 1 1.00 40 0.025
238 A 1 1 1.00 46 0.022
239 A 1 1 1.00 50 0.020
240 A 1 1 1.00 40 0.025
241 A 1 1 1.00 35 0.029
242 A 1 1 1.00 35 0.029
243 A 1 1 1.00 33 0.030
244 A 1 1 1.00 28 0.036
245 A 1 1 1.00 35 0.029
246 A 1 1 1.00 28 0.036
247 A 1 1 1.00 33 0.030
248 A 1 1 1.00 35 0.029
249 B 20 9 2.83 43 0.209
250 B 15 9 2.33 43 0.209
251 A 11 8 1.83 43 0.186
252 A 8 6 1.33 41 0.146
253 A 0 0 0.00 0 0.000
254 A 0 0 0.00 0 0.000
255 A 2 2 1.00 40 0.050
256 A 2 2 1.00 38 0.053
257 A 3 3 1.00 33 0.091
258 A 3 3 1.00 38 0.079
259 B 17 11 2.33 51 0.216
260 A 13 10 1.83 51 0.196
261 A 10 8 1.33 49 0.163
262 A 0 0 0.00 0 0.000
263 A 0 0 0.00 0 0.000

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