[next] [prev] [prev-tail] [tail] [up]

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
 2.2 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: { }

B grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 28, 35, 36, 37, 38, 42, 43, 44, 45, 49, 50, 51, 52, 53, 61, 62, 71, 72, 88, 89, 90, 91, 95, 96, 97, 98, 102, 103, 104, 105, 106 }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 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, 99, 100, 101, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263 }

2.1.7 Giac

A grade: { 3, 12, 13, 42, 50, 110, 120, 146, 154, 224, 225, 231, 237, 238, 239, 245, 253, 254, 262, 263 }

B grade: { 2, 4, 7, 8, 9, 17, 18, 19, 22, 23, 28, 29, 30, 35, 49, 88, 111, 114, 115, 116, 124, 125, 126, 130, 139, 153, 190, 232, 233 }

C grade: { }

F grade: { 1, 5, 6, 10, 11, 14, 15, 16, 20, 21, 24, 25, 26, 27, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 112, 113, 117, 118, 119, 121, 122, 123, 127, 128, 129, 131, 132, 133, 134, 135, 136, 137, 138, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 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, 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, 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 }

2.2 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
grade A A A B B B B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 232 261 7284 1380 1057 1187 0
normalized size 1 1.09 1.23 34.36 6.51 4.99 5.6 0.
time (sec) N/A 0.345 0.22 0.221 1.819 1.358 9.871 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 200 217 4593 906 774 870 555
normalized size 1 1.11 1.21 25.52 5.03 4.3 4.83 3.08
time (sec) N/A 0.294 0.157 0.202 3.181 1.208 6.821 14.087
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 294 181 2407 487 486 505 296
normalized size 1 2.1 1.29 17.19 3.48 3.47 3.61 2.11
time (sec) N/A 0.344 0.238 0.177 1.316 1.112 4.384 2.544
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 70 940 194 278 257 315
normalized size 1 1. 0.86 11.6 2.4 3.43 3.17 3.89
time (sec) N/A 0.057 0.034 0.164 1.456 1.051 2.395 1.411
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 213 164 1044 325 0 0 0
normalized size 1 1.6 1.23 7.85 2.44 0. 0. 0.
time (sec) N/A 0.353 0.114 0.191 1.58 0. 0. 0.
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 221 175 1025 0 0 0 0
normalized size 1 1.56 1.23 7.22 0. 0. 0. 0.
time (sec) N/A 0.384 0.157 0.097 0. 0. 0. 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 191 208 394 770 366 382 286
normalized size 1 2.25 2.45 4.64 9.06 4.31 4.49 3.36
time (sec) N/A 0.281 0.163 0.055 1.38 1.082 6.21 1.351
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 225 187 804 1260 747 629 544
normalized size 1 1.3 1.08 4.65 7.28 4.32 3.64 3.14
time (sec) N/A 0.342 0.398 0.052 2.004 1.052 11.307 1.393
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 257 210 1226 1871 1230 928 905
normalized size 1 0.96 0.78 4.56 6.96 4.57 3.45 3.36
time (sec) N/A 0.39 0.459 0.051 1.804 1.084 18.991 1.408
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 423 330 429 9298 2415 1509 1761 0
normalized size 1 0.78 1.01 21.98 5.71 3.57 4.16 0.
time (sec) N/A 0.655 0.351 0.242 1.804 1.769 14.504 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 296 362 6116 1620 1102 1292 0
normalized size 1 0.88 1.07 18.15 4.81 3.27 3.83 0.
time (sec) N/A 0.508 0.25 0.191 1.454 1.396 9.675 0.
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 200 216 3439 906 774 870 441
normalized size 1 0.84 0.9 14.39 3.79 3.24 3.64 1.85
time (sec) N/A 0.341 0.183 0.173 1.53 1.547 6.603 14.494
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 97 1522 378 467 503 240
normalized size 1 1. 0.82 12.9 3.2 3.96 4.26 2.03
time (sec) N/A 0.067 0.04 0.155 1.381 1.355 3.701 2.04
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 354 252 2538 699 0 0 0
normalized size 1 1.28 0.91 9.2 2.53 0. 0. 0.
time (sec) N/A 0.49 0.183 0.176 1.614 0. 0. 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 313 221 1465 1339 0 0 0
normalized size 1 1.27 0.89 5.93 5.42 0. 0. 0.
time (sec) N/A 0.518 0.232 0.161 1.761 0. 0. 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 338 244 1495 0 0 0 0
normalized size 1 1.47 1.06 6.5 0. 0. 0. 0.
time (sec) N/A 0.589 0.333 0.07 0. 0. 0. 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 287 315 406 2045 544 610 463
normalized size 1 3.22 3.54 4.56 22.98 6.11 6.85 5.2
time (sec) N/A 0.49 0.318 0.055 1.589 0.781 26.545 1.311
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 325 454 828 2994 1046 928 783
normalized size 1 1.8 2.51 4.57 16.54 5.78 5.13 4.33
time (sec) N/A 0.571 0.387 0.05 1.788 0.813 48.275 1.715
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 359 344 1262 4089 1661 1300 1211
normalized size 1 1.28 1.22 4.49 14.55 5.91 4.63 4.31
time (sec) N/A 0.678 0.888 0.054 2.692 0.797 88.471 1.419
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 457 416 586 11172 3560 1894 2188 0
normalized size 1 0.91 1.28 24.45 7.79 4.14 4.79 0.
time (sec) N/A 0.945 0.591 0.222 1.522 1.794 20.544 0.
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 371 330 429 7597 2415 1509 1761 0
normalized size 1 0.89 1.16 20.48 6.51 4.07 4.75 0.
time (sec) N/A 0.675 0.321 0.211 1.492 1.503 13.935 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 232 261 4481 1380 1057 1187 690
normalized size 1 0.86 0.96 16.54 5.09 3.9 4.38 2.55
time (sec) N/A 0.341 0.193 0.191 1.362 1.211 9.486 21.153
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 120 2172 593 664 719 606
normalized size 1 1. 0.81 14.58 3.98 4.46 4.83 4.07
time (sec) N/A 0.081 0.059 0.171 1.183 0.839 5.284 1.499
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 356 436 352 4594 1148 0 0 0
normalized size 1 1.22 0.99 12.9 3.22 0. 0. 0.
time (sec) N/A 0.602 0.266 0.192 1.583 0. 0. 0.
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 373 521 374 3141 2026 0 0 0
normalized size 1 1.4 1. 8.42 5.43 0. 0. 0.
time (sec) N/A 0.696 0.407 0.179 1.702 0. 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 442 314 1855 3108 0 0 0
normalized size 1 1.28 0.91 5.38 9.01 0. 0. 0.
time (sec) N/A 0.718 0.44 0.164 1.887 0. 0. 0.
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 424 308 1929 0 0 0 0
normalized size 1 1.37 0.99 6.22 0. 0. 0. 0.
time (sec) N/A 0.782 0.497 0.067 0. 0. 0. 0.
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 373 427 406 4194 710 864 776
normalized size 1 4.19 4.8 4.56 47.12 7.98 9.71 8.72
time (sec) N/A 0.722 0.495 0.052 1.997 0.542 157.452 1.328
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 409 608 828 5694 1337 0 1183
normalized size 1 2.26 3.36 4.57 31.46 7.39 0. 6.54
time (sec) N/A 0.865 0.621 0.049 2.51 0.526 0. 1.375
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 445 642 1262 7457 2057 0 1678
normalized size 1 1.58 2.28 4.49 26.54 7.32 0. 5.97
time (sec) N/A 0.976 1.092 0.053 3.326 0.595 0. 1.415
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 408 354 4297 1067 0 0 0
normalized size 1 1.62 1.4 17.05 4.23 0. 0. 0.
time (sec) N/A 0.626 0.285 0.187 1.543 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 329 254 2309 644 0 0 0
normalized size 1 1.66 1.28 11.66 3.25 0. 0. 0.
time (sec) N/A 0.487 0.171 0.189 1.453 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 213 162 895 298 0 0 0
normalized size 1 1.7 1.3 7.16 2.38 0. 0. 0.
time (sec) N/A 0.355 0.107 0.158 1.494 0. 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 122 95 411 0 0 0 0
normalized size 1 1.61 1.25 5.41 0. 0. 0. 0.
time (sec) N/A 0.215 0.032 0.056 0. 0. 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 304 207 201 232 126 170 142
normalized size 1 6.91 4.7 4.57 5.27 2.86 3.86 3.23
time (sec) N/A 0.584 0.114 0.052 1.172 0.494 1.532 1.386
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 437 292 605 572 329 386 0
normalized size 1 2.53 1.69 3.5 3.31 1.9 2.23 0.
time (sec) N/A 0.703 0.299 0.056 1.302 0.509 3.055 0.
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 255 535 418 1040 1195 732 889 0
normalized size 1 2.1 1.64 4.08 4.69 2.87 3.49 0.
time (sec) N/A 0.877 0.378 0.055 1.539 0.489 7.534 0.
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 373 620 492 1474 1983 1285 1392 0
normalized size 1 1.66 1.32 3.95 5.32 3.45 3.73 0.
time (sec) N/A 1.078 0.725 0.053 1.972 0.559 22.179 0.
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 519 359 2973 1810 0 0 0
normalized size 1 1.52 1.05 8.72 5.31 0. 0. 0.
time (sec) N/A 0.727 0.427 0.174 1.594 0. 0. 0.
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 260 336 239 1382 1196 0 0 0
normalized size 1 1.29 0.92 5.32 4.6 0. 0. 0.
time (sec) N/A 0.532 0.245 0.171 1.53 0. 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 222 175 978 0 0 0 0
normalized size 1 1.39 1.09 6.11 0. 0. 0. 0.
time (sec) N/A 0.403 0.163 0.061 0. 0. 0. 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 101 104 515 181 177 231 116
normalized size 1 1.03 1.06 5.26 1.85 1.81 2.36 1.18
time (sec) N/A 0.073 0.048 0.05 1.229 0.478 1.69 1.38
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 432 292 759 568 328 386 0
normalized size 1 2.77 1.87 4.87 3.64 2.1 2.47 0.
time (sec) N/A 0.714 0.289 0.053 1.285 0.511 3.119 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 462 324 1187 1160 686 828 0
normalized size 1 1.77 1.24 4.55 4.44 2.63 3.17 0.
time (sec) N/A 0.868 0.452 0.053 1.426 0.515 7.054 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 364 630 453 1635 2323 1368 1562 0
normalized size 1 1.73 1.24 4.49 6.38 3.76 4.29 0.
time (sec) N/A 1.117 0.791 0.056 1.852 0.568 29.671 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 457 705 520 2068 3456 2101 0 0
normalized size 1 1.54 1.14 4.53 7.56 4.6 0. 0.
time (sec) N/A 1.363 1.423 0.055 2.428 0.612 0. 0.
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 442 317 1815 2750 0 0 0
normalized size 1 1.22 0.88 5.03 7.62 0. 0. 0.
time (sec) N/A 0.734 0.467 0.157 1.816 0. 0. 0.
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 340 245 1569 0 0 0 0
normalized size 1 1.35 0.98 6.25 0. 0. 0. 0.
time (sec) N/A 0.607 0.33 0.056 0. 0. 0. 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 191 207 1049 765 366 382 258
normalized size 1 2.25 2.44 12.34 9. 4.31 4.49 3.04
time (sec) N/A 0.292 0.152 0.05 1.252 0.476 6.03 1.382
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 111 746 344 455 422 282
normalized size 1 1. 0.77 5.18 2.39 3.16 2.93 1.96
time (sec) N/A 0.099 0.117 0.052 1.198 0.486 2.99 1.318
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 535 418 1287 1195 730 889 0
normalized size 1 2.2 1.72 5.3 4.92 3. 3.66 0.
time (sec) N/A 0.898 0.467 0.054 1.423 0.534 8.049 0.
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 631 452 1729 2323 1368 1562 0
normalized size 1 1.73 1.24 4.74 6.36 3.75 4.28 0.
time (sec) N/A 1.111 0.788 0.053 1.904 0.567 33.036 0.
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 463 673 533 2182 3213 2037 2106 0
normalized size 1 1.45 1.15 4.71 6.94 4.4 4.55 0.
time (sec) N/A 1.406 1.274 0.058 2.095 0.604 65.196 0.
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 563 825 637 2616 5152 3140 0 0
normalized size 1 1.47 1.13 4.65 9.15 5.58 0. 0.
time (sec) N/A 1.695 1.994 0.054 3.542 0.662 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 539 622 905 0 4301 0 0 0
normalized size 1 1.15 1.68 0. 7.98 0. 0. 0.
time (sec) N/A 1.78 0.76 2.674 1.925 0. 0. 0.
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 450 537 680 0 3028 0 0 0
normalized size 1 1.19 1.51 0. 6.73 0. 0. 0.
time (sec) N/A 1.49 0.547 2.228 1.832 0. 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 1214 869 0 1690 0 0 0
normalized size 1 3.54 2.53 0. 4.93 0. 0. 0.
time (sec) N/A 2.817 0.7 2.007 1.696 0. 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 283 205 0 855 0 0 0
normalized size 1 1.39 1.01 0. 4.21 0. 0. 0.
time (sec) N/A 0.433 0.208 1.796 1.642 0. 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 286 644 987 0 0 0 0 0
normalized size 1 2.25 3.45 0. 0. 0. 0. 0.
time (sec) N/A 2.939 1.312 2.77 0. 0. 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 705 1407 0 0 0 0 0
normalized size 1 2.93 5.84 0. 0. 0. 0. 0.
time (sec) N/A 3.028 2.464 3.008 0. 0. 0. 0.
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 639 765 865 2682 602 712 0
normalized size 1 4.53 5.43 6.13 19.02 4.27 5.05 0.
time (sec) N/A 1.94 0.93 0.053 1.76 0.526 13.816 0.
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 741 1035 1765 4431 1249 1386 0
normalized size 1 2.58 3.61 6.15 15.44 4.35 4.83 0.
time (sec) N/A 2.291 1.1 0.055 2.519 0.56 27.988 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 445 826 1340 2689 6491 2048 0 0
normalized size 1 1.86 3.01 6.04 14.59 4.6 0. 0.
time (sec) N/A 2.611 1.713 0.053 3.393 0.582 0. 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 711 790 1559 0 6990 0 0 0
normalized size 1 1.11 2.19 0. 9.83 0. 0. 0.
time (sec) N/A 3.006 1.348 3.027 2.138 0. 0. 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 761 666 1194 0 4936 0 0 0
normalized size 1 0.88 1.57 0. 6.49 0. 0. 0.
time (sec) N/A 2.396 0.914 2.686 1.975 0. 0. 0.
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 589 570 677 0 3050 0 0 0
normalized size 1 0.97 1.15 0. 5.18 0. 0. 0.
time (sec) N/A 1.587 0.569 2.291 1.801 0. 0. 0.
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 334 420 287 0 1623 0 0 0
normalized size 1 1.26 0.86 0. 4.86 0. 0. 0.
time (sec) N/A 0.532 0.216 2.044 1.816 0. 0. 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 535 1676 1987 0 0 0 0 0
normalized size 1 3.13 3.71 0. 0. 0. 0. 0.
time (sec) N/A 5.123 3.444 3.013 0. 0. 0. 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 442 1219 2652 0 0 0 0 0
normalized size 1 2.76 6. 0. 0. 0. 0. 0.
time (sec) N/A 3.887 8.364 3.704 0. 0. 0. 0.
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 387 932 3965 0 0 0 0 0
normalized size 1 2.41 10.25 0. 0. 0. 0. 0.
time (sec) N/A 4.061 7.522 3.265 0. 0. 0. 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 827 1355 890 7468 892 1178 0
normalized size 1 5.63 9.22 6.05 50.8 6.07 8.01 0.
time (sec) N/A 3.132 2.21 0.055 3.366 0.563 69.11 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 920 1788 1814 10842 1733 2054 0
normalized size 1 3.08 5.98 6.07 36.26 5.8 6.87 0.
time (sec) N/A 3.691 3.109 0.053 4.875 0.59 133.626 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 463 1009 2220 2761 14688 2804 0 0
normalized size 1 2.18 4.79 5.96 31.72 6.06 0. 0.
time (sec) N/A 4.219 4.234 0.056 7.229 0.632 0. 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1089 896 2330 0 9343 0 0 0
normalized size 1 0.82 2.14 0. 8.58 0. 0. 0.
time (sec) N/A 4.27 3.14 2.264 2.374 0. 0. 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 908 825 1555 0 7015 0 0 0
normalized size 1 0.91 1.71 0. 7.73 0. 0. 0.
time (sec) N/A 3.022 1.345 2.914 2.122 0. 0. 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 730 655 901 0 4344 0 0 0
normalized size 1 0.9 1.23 0. 5.95 0. 0. 0.
time (sec) N/A 1.781 0.706 2.556 2.009 0. 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 420 503 389 0 2415 0 0 0
normalized size 1 1.2 0.93 0. 5.75 0. 0. 0.
time (sec) N/A 0.617 0.304 2.146 1.871 0. 0. 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 712 1868 3984 0 0 0 0 0
normalized size 1 2.62 5.6 0. 0. 0. 0. 0.
time (sec) N/A 5.687 3.922 3.243 0. 0. 0. 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 692 1751 5108 0 0 0 0 0
normalized size 1 2.53 7.38 0. 0. 0. 0. 0.
time (sec) N/A 4.816 17.151 3.813 0. 0. 0. 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 604 1412 6284 0 0 0 0 0
normalized size 1 2.34 10.4 0. 0. 0. 0. 0.
time (sec) N/A 4.926 14.995 3.958 0. 0. 0. 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 970 2470 890 15779 1127 0 0
normalized size 1 6.6 16.8 6.05 107.34 7.67 0. 0.
time (sec) N/A 4.541 1.545 0.053 6.385 0.584 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 1061 2289 1814 21283 2209 0 0
normalized size 1 3.55 7.66 6.07 71.18 7.39 0. 0.
time (sec) N/A 5.195 4.47 0.055 9.616 0.624 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 463 1152 2583 2762 0 3443 0 0
normalized size 1 2.49 5.58 5.97 0. 7.44 0. 0.
time (sec) N/A 6.077 5.932 0.053 0. 0.704 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 718 1828 4802 0 0 0 0 0
normalized size 1 2.55 6.69 0. 0. 0. 0. 0.
time (sec) N/A 5.616 1.854 2.514 0. 0. 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 536 1666 1514 0 0 0 0 0
normalized size 1 3.11 2.82 0. 0. 0. 0. 0.
time (sec) N/A 4.825 1.671 2.291 0. 0. 0. 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 1072 646 0 0 0 0 0
normalized size 1 3.79 2.28 0. 0. 0. 0. 0.
time (sec) N/A 4.132 0.75 2.141 0. 0. 0. 0.
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 721 251 888 0 0 0 0
normalized size 1 5.68 1.98 6.99 0. 0. 0. 0.
time (sec) N/A 3.268 0.252 0.069 0. 0. 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 1163 79 312 536 184 206 211
normalized size 1 26.43 1.8 7.09 12.18 4.18 4.68 4.8
time (sec) N/A 5.531 0.365 0.054 1.32 0.495 2.246 1.791
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 1684 186 1201 1361 512 541 0
normalized size 1 9.2 1.02 6.56 7.44 2.8 2.96 0.
time (sec) N/A 6.331 0.663 0.054 1.533 0.522 4.551 0.
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 1899 318 2144 2855 1130 1488 0
normalized size 1 5.54 0.93 6.25 8.32 3.29 4.34 0.
time (sec) N/A 7.366 1.133 0.059 2.12 0.528 12.327 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 507 2044 442 3093 4636 1991 2388 0
normalized size 1 4.03 0.87 6.1 9.14 3.93 4.71 0.
time (sec) N/A 8.431 1.465 0.059 2.78 0.602 50.194 0.
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 722 2224 5193 0 0 0 0 0
normalized size 1 3.08 7.19 0. 0. 0. 0. 0.
time (sec) N/A 6.15 7.401 2.414 0. 0. 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 469 1681 1969 0 0 0 0 0
normalized size 1 3.58 4.2 0. 0. 0. 0. 0.
time (sec) N/A 5.093 4.674 2.125 0. 0. 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 1060 1107 0 0 0 0 0
normalized size 1 4.06 4.24 0. 0. 0. 0. 0.
time (sec) N/A 4.242 1.906 1.969 0. 0. 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 472 315 1236 562 319 432 0
normalized size 1 3.11 2.07 8.13 3.7 2.1 2.84 0.
time (sec) N/A 0.782 0.437 0.052 1.339 0.513 3.859 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 1687 187 1633 1355 510 539 0
normalized size 1 7.88 0.87 7.63 6.33 2.38 2.52 0.
time (sec) N/A 6.471 0.709 0.059 1.572 0.521 4.926 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 1521 307 2572 2693 1062 1404 0
normalized size 1 4.17 0.84 7.05 7.38 2.91 3.85 0.
time (sec) N/A 7.176 1.042 0.053 1.921 0.559 11.071 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 523 2071 466 3538 5652 2061 2683 0
normalized size 1 3.96 0.89 6.76 10.81 3.94 5.13 0.
time (sec) N/A 8.459 1.447 0.061 3.155 0.591 65.538 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 682 2222 613 4487 8316 3193 0 0
normalized size 1 3.26 0.9 6.58 12.19 4.68 0. 0.
time (sec) N/A 9.479 2.106 0.065 4.429 0.694 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 635 1890 6052 0 0 0 0 0
normalized size 1 2.98 9.53 0. 0. 0. 0. 0.
time (sec) N/A 6.241 7.815 2.443 0. 0. 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 410 1328 2950 0 0 0 0 0
normalized size 1 3.24 7.2 0. 0. 0. 0. 0.
time (sec) N/A 5.266 5.61 2.149 0. 0. 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 634 767 2449 2654 602 712 0
normalized size 1 4.5 5.44 17.37 18.82 4.27 5.05 0.
time (sec) N/A 1.961 0.898 0.059 1.998 0.495 14.233 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 577 444 1917 1145 767 892 0
normalized size 1 1.95 1.5 6.48 3.87 2.59 3.01 0.
time (sec) N/A 0.914 0.449 0.055 1.555 0.517 6.614 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 375 1899 290 2842 2857 1129 1488 0
normalized size 1 5.06 0.77 7.58 7.62 3.01 3.97 0.
time (sec) N/A 7.365 1.084 0.056 2.148 0.556 12.901 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 525 2071 453 3802 5654 2061 2683 0
normalized size 1 3.94 0.86 7.24 10.77 3.93 5.11 0.
time (sec) N/A 8.417 1.507 0.06 3.269 0.562 72.365 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B B B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 685 1921 611 4782 7537 3056 3720 0
normalized size 1 2.8 0.89 6.98 11. 4.46 5.43 0.
time (sec) N/A 9.579 1.961 0.058 3.482 0.699 142.653 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A B B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 851 2454 793 5731 12531 4744 0 0
normalized size 1 2.88 0.93 6.73 14.73 5.57 0. 0.
time (sec) N/A 10.921 2.816 0.059 7.145 0.805 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 243 269 0 1509 1501 0 0
normalized size 1 1.09 1.21 0. 6.77 6.73 0. 0.
time (sec) N/A 0.386 0.251 0.531 1.405 0.848 0. 0.
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 210 225 0 999 1107 0 0
normalized size 1 1.11 1.18 0. 5.26 5.83 0. 0.
time (sec) N/A 0.316 0.168 0.528 1.371 0.659 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 311 189 0 531 666 0 329
normalized size 1 2.09 1.27 0. 3.56 4.47 0. 2.21
time (sec) N/A 0.37 0.268 0.35 1.685 0.59 0. 10.146
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 74 0 211 360 0 339
normalized size 1 1. 0.86 0. 2.45 4.19 0. 3.94
time (sec) N/A 0.061 0.039 0.371 1.244 0.518 0. 1.477
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 223 172 0 373 0 0 0
normalized size 1 1.58 1.22 0. 2.65 0. 0. 0.
time (sec) N/A 0.345 0.123 0.619 2.891 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 233 189 0 0 0 0 0
normalized size 1 1.55 1.26 0. 0. 0. 0. 0.
time (sec) N/A 0.376 0.174 0.523 0. 0. 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 201 216 0 786 510 0 320
normalized size 1 2.26 2.43 0. 8.83 5.73 0. 3.6
time (sec) N/A 0.286 0.161 0.514 1.292 0.51 0. 1.238
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 236 196 0 1276 988 0 624
normalized size 1 1.3 1.08 0. 7.05 5.46 0. 3.45
time (sec) N/A 0.341 0.461 0.531 1.499 0.56 0. 1.271
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 269 220 0 1887 1574 0 1025
normalized size 1 0.96 0.78 0. 6.72 5.6 0. 3.65
time (sec) N/A 0.409 0.531 0.535 1.62 0.548 0. 1.391
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 442 345 441 0 2670 2202 0 0
normalized size 1 0.78 1. 0. 6.04 4.98 0. 0.
time (sec) N/A 0.685 0.398 0.631 1.524 1.102 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 352 310 374 0 1804 1573 0 0
normalized size 1 0.88 1.06 0. 5.12 4.47 0. 0.
time (sec) N/A 0.543 0.269 0.59 1.44 0.804 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 210 224 0 999 1107 0 0
normalized size 1 0.84 0.9 0. 4. 4.43 0. 0.
time (sec) N/A 0.355 0.199 0.507 1.34 0.653 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 101 0 417 622 0 277
normalized size 1 1. 0.81 0. 3.36 5.02 0. 2.23
time (sec) N/A 0.074 0.047 0.457 1.321 0.562 0. 3.441
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 289 369 264 0 783 0 0 0
normalized size 1 1.28 0.91 0. 2.71 0. 0. 0.
time (sec) N/A 0.489 0.186 0.686 3.199 0. 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 327 233 0 1607 0 0 0
normalized size 1 1.26 0.9 0. 6.2 0. 0. 0.
time (sec) N/A 0.523 0.236 0.695 2.8 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 354 258 0 0 0 0 0
normalized size 1 1.46 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.56 0.355 0.671 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 301 329 0 2084 799 0 552
normalized size 1 3.24 3.54 0. 22.41 8.59 0. 5.94
time (sec) N/A 0.516 0.338 0.673 1.61 0.514 0. 1.225
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 340 474 0 3033 1446 0 942
normalized size 1 1.8 2.51 0. 16.05 7.65 0. 4.98
time (sec) N/A 0.6 0.433 0.688 1.955 0.558 0. 1.311
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 375 357 0 4128 2213 0 1443
normalized size 1 1.28 1.22 0. 14.09 7.55 0. 4.92
time (sec) N/A 0.721 1.056 0.771 2.288 0.635 0. 1.34
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 477 435 631 0 3916 2716 0 0
normalized size 1 0.91 1.32 0. 8.21 5.69 0. 0.
time (sec) N/A 0.992 0.588 0.678 1.602 1.83 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 387 345 441 0 2670 2202 0 0
normalized size 1 0.89 1.14 0. 6.9 5.69 0. 0.
time (sec) N/A 0.7 0.345 0.688 1.534 1.154 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 243 269 0 1509 1501 0 0
normalized size 1 0.86 0.95 0. 5.33 5.3 0. 0.
time (sec) N/A 0.382 0.215 0.536 1.501 0.796 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 124 0 647 883 0 680
normalized size 1 1. 0.79 0. 4.15 5.66 0. 4.36
time (sec) N/A 0.086 0.073 0.498 1.408 0.635 0. 1.365
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 373 455 368 0 1262 0 0 0
normalized size 1 1.22 0.99 0. 3.38 0. 0. 0.
time (sec) N/A 0.6 0.273 0.678 2.645 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 390 543 394 0 2410 0 0 0
normalized size 1 1.39 1.01 0. 6.18 0. 0. 0.
time (sec) N/A 0.691 0.419 0.699 2.765 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 461 331 0 3707 0 0 0
normalized size 1 1.28 0.92 0. 10.27 0. 0. 0.
time (sec) N/A 0.709 0.456 0.688 3.029 0. 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 444 326 0 0 0 0 0
normalized size 1 1.36 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.794 0.51 0.688 0. 0. 0. 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 426 370 0 1354 0 0 0
normalized size 1 1.58 1.38 0. 5.03 0. 0. 0.
time (sec) N/A 0.646 0.278 0.685 2.762 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 343 266 0 846 0 0 0
normalized size 1 1.63 1.26 0. 4.01 0. 0. 0.
time (sec) N/A 0.488 0.175 0.695 2.669 0. 0. 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 223 170 0 413 0 0 0
normalized size 1 1.66 1.27 0. 3.08 0. 0. 0.
time (sec) N/A 0.389 0.119 0.645 2.683 0. 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 128 101 0 0 0 0 0
normalized size 1 1.6 1.26 0. 0. 0. 0. 0.
time (sec) N/A 0.202 0.032 0.611 0. 0. 0. 0.
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 316 219 0 236 169 0 143
normalized size 1 6.32 4.38 0. 4.72 3.38 0. 2.86
time (sec) N/A 0.557 0.104 0.758 1.164 0.513 0. 1.31
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 455 304 0 576 446 0 0
normalized size 1 2.51 1.68 0. 3.18 2.46 0. 0.
time (sec) N/A 0.689 0.284 0.75 1.323 0.504 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 557 434 0 1199 1023 0 0
normalized size 1 2.09 1.63 0. 4.51 3.85 0. 0.
time (sec) N/A 0.834 0.381 0.764 1.429 0.557 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 389 646 518 0 1987 1809 0 0
normalized size 1 1.66 1.33 0. 5.11 4.65 0. 0.
time (sec) N/A 1.077 0.754 0.773 1.793 0.599 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 359 541 375 0 2554 0 0 0
normalized size 1 1.51 1.04 0. 7.11 0. 0. 0.
time (sec) N/A 0.727 0.44 0.66 2.632 0. 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 351 252 0 1719 0 0 0
normalized size 1 1.28 0.92 0. 6.25 0. 0. 0.
time (sec) N/A 0.532 0.259 0.695 2.579 0. 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 234 183 0 0 0 0 0
normalized size 1 1.39 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.387 0.179 0.514 0. 0. 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 107 114 0 184 221 0 134
normalized size 1 1.05 1.12 0. 1.8 2.17 0. 1.31
time (sec) N/A 0.079 0.053 0.518 1.161 0.508 0. 1.797
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 450 304 0 572 444 0 0
normalized size 1 2.71 1.83 0. 3.45 2.67 0. 0.
time (sec) N/A 0.679 0.314 0.762 1.297 0.529 0. 0.
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 273 482 342 0 1164 932 0 0
normalized size 1 1.77 1.25 0. 4.26 3.41 0. 0.
time (sec) N/A 0.83 0.477 0.746 1.384 0.552 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 380 656 478 0 2327 1956 0 0
normalized size 1 1.73 1.26 0. 6.12 5.15 0. 0.
time (sec) N/A 1.087 0.844 0.746 1.753 0.589 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 477 735 549 0 3460 3012 0 0
normalized size 1 1.54 1.15 0. 7.25 6.31 0. 0.
time (sec) N/A 1.357 1.551 0.769 2.239 0.681 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 382 461 334 0 3907 0 0 0
normalized size 1 1.21 0.87 0. 10.23 0. 0. 0.
time (sec) N/A 0.745 0.485 0.605 3.135 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 356 259 0 0 0 0 0
normalized size 1 1.35 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.597 0.355 0.68 0. 0. 0. 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 201 215 0 780 509 0 298
normalized size 1 2.26 2.42 0. 8.76 5.72 0. 3.35
time (sec) N/A 0.317 0.156 0.521 1.258 0.534 0. 1.252
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 115 0 350 562 0 309
normalized size 1 1. 0.76 0. 2.32 3.72 0. 2.05
time (sec) N/A 0.104 0.133 0.538 1.205 0.525 0. 1.305
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 557 434 0 1199 1022 0 0
normalized size 1 2.19 1.71 0. 4.72 4.02 0. 0.
time (sec) N/A 0.869 0.39 0.75 1.421 0.555 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 657 477 0 2327 1956 0 0
normalized size 1 1.72 1.25 0. 6.11 5.13 0. 0.
time (sec) N/A 1.083 0.807 0.716 1.835 0.583 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 483 701 561 0 3217 2859 0 0
normalized size 1 1.45 1.16 0. 6.66 5.92 0. 0.
time (sec) N/A 1.389 1.359 0.745 1.902 0.685 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 587 859 671 0 5156 4535 0 0
normalized size 1 1.46 1.14 0. 8.78 7.73 0. 0.
time (sec) N/A 1.691 2.08 0.726 3.155 0.766 0. 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 584 670 949 0 5081 0 0 0
normalized size 1 1.15 1.62 0. 8.7 0. 0. 0.
time (sec) N/A 1.901 0.786 0.526 3.891 0. 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 487 578 716 0 3633 0 0 0
normalized size 1 1.19 1.47 0. 7.46 0. 0. 0.
time (sec) N/A 1.586 0.576 0.517 3.546 0. 0. 0.
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 372 1323 937 0 2082 0 0 0
normalized size 1 3.56 2.52 0. 5.6 0. 0. 0.
time (sec) N/A 2.878 0.726 0.335 3.624 0. 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 307 216 0 1114 0 0 0
normalized size 1 1.4 0.98 0. 5.06 0. 0. 0.
time (sec) N/A 0.481 0.212 0.324 3.524 0. 0. 0.
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 692 742 0 0 0 0 0
normalized size 1 2.26 2.42 0. 0. 0. 0. 0.
time (sec) N/A 2.874 1.861 0.527 0. 0. 0. 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 766 1556 0 0 0 0 0
normalized size 1 2.93 5.96 0. 0. 0. 0. 0.
time (sec) N/A 2.945 3.552 0.554 0. 0. 0. 0.
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 691 801 0 2723 1214 0 0
normalized size 1 4.58 5.3 0. 18.03 8.04 0. 0.
time (sec) N/A 2.055 0.928 0.527 1.754 0.533 0. 0.
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 307 800 1079 0 4471 2388 0 0
normalized size 1 2.61 3.51 0. 14.56 7.78 0. 0.
time (sec) N/A 2.432 1.196 0.54 2.216 0.612 0. 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 475 892 1392 0 6531 3800 0 0
normalized size 1 1.88 2.93 0. 13.75 8. 0. 0.
time (sec) N/A 2.875 1.464 0.532 3.06 0.697 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 766 848 1634 0 8035 0 0 0
normalized size 1 1.11 2.13 0. 10.49 0. 0. 0.
time (sec) N/A 3.348 1.443 0.734 4.164 0. 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 819 714 1254 0 5733 0 0 0
normalized size 1 0.87 1.53 0. 7. 0. 0. 0.
time (sec) N/A 2.609 1.022 0.691 3.92 0. 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 635 614 713 0 3594 0 0 0
normalized size 1 0.97 1.12 0. 5.66 0. 0. 0.
time (sec) N/A 1.657 0.629 0.48 3.889 0. 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 454 303 0 1989 0 0 0
normalized size 1 1.26 0.84 0. 5.51 0. 0. 0.
time (sec) N/A 0.543 0.238 0.527 3.694 0. 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 572 1790 1654 0 0 0 0 0
normalized size 1 3.13 2.89 0. 0. 0. 0. 0.
time (sec) N/A 5.081 3.008 0.687 0. 0. 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 472 1309 2834 0 0 0 0 0
normalized size 1 2.77 6. 0. 0. 0. 0. 0.
time (sec) N/A 3.765 15.576 0.714 0. 0. 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 417 1003 4761 0 0 0 0 0
normalized size 1 2.41 11.42 0. 0. 0. 0. 0.
time (sec) N/A 3.841 14.402 0.748 0. 0. 0. 0.
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 889 1415 0 7544 1890 0 0
normalized size 1 5.66 9.01 0. 48.05 12.04 0. 0.
time (sec) N/A 3.17 2.402 0.778 3.151 0.6 0. 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 989 1860 0 10917 3484 0 0
normalized size 1 3.1 5.83 0. 34.22 10.92 0. 0.
time (sec) N/A 3.789 3.146 0.703 4.474 0.716 0. 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 493 1085 2320 0 14764 5374 0 0
normalized size 1 2.2 4.71 0. 29.95 10.9 0. 0.
time (sec) N/A 4.316 3.967 0.733 6.14 0.835 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1172 961 2448 0 10591 0 0 0
normalized size 1 0.82 2.09 0. 9.04 0. 0. 0.
time (sec) N/A 4.479 3.82 0.726 4.435 0. 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 976 886 1627 0 8007 0 0 0
normalized size 1 0.91 1.67 0. 8.2 0. 0. 0.
time (sec) N/A 3.198 1.42 0.702 4.07 0. 0. 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 786 706 945 0 5027 0 0 0
normalized size 1 0.9 1.2 0. 6.4 0. 0. 0.
time (sec) N/A 1.93 0.726 0.534 4.635 0. 0. 0.
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 454 544 409 0 2874 0 0 0
normalized size 1 1.2 0.9 0. 6.33 0. 0. 0.
time (sec) N/A 0.664 0.321 0.51 3.788 0. 0. 0.
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 762 1995 2941 0 0 0 0 0
normalized size 1 2.62 3.86 0. 0. 0. 0. 0.
time (sec) N/A 5.624 4.917 0.672 0. 0. 0. 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 739 1875 4942 0 0 0 0 0
normalized size 1 2.54 6.69 0. 0. 0. 0. 0.
time (sec) N/A 4.738 14.471 0.686 0. 0. 0. 0.
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 644 1512 6221 0 0 0 0 0
normalized size 1 2.35 9.66 0. 0. 0. 0. 0.
time (sec) N/A 4.811 24.699 0.727 0. 0. 0. 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 561 1170 8775 0 0 0 0 0
normalized size 1 2.09 15.64 0. 0. 0. 0. 0.
time (sec) N/A 5.093 8.154 0.695 0. 0. 0. 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 768 1952 3265 0 0 0 0 0
normalized size 1 2.54 4.25 0. 0. 0. 0. 0.
time (sec) N/A 5.585 4.222 0.676 0. 0. 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 573 1780 1741 0 0 0 0 0
normalized size 1 3.11 3.04 0. 0. 0. 0. 0.
time (sec) N/A 4.746 1.591 0.694 0. 0. 0. 0.
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 1156 802 0 0 0 0 0
normalized size 1 3.82 2.65 0. 0. 0. 0. 0.
time (sec) N/A 4.032 0.668 0.52 0. 0. 0. 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 782 306 0 0 0 0 0
normalized size 1 5.71 2.23 0. 0. 0. 0. 0.
time (sec) N/A 3.172 0.279 0.519 0. 0. 0. 0.
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C A F B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 1237 90 0 549 339 0 217
normalized size 1 24.74 1.8 0. 10.98 6.78 0. 4.34
time (sec) N/A 5.322 0.38 0.755 1.307 0.483 0. 1.341
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 1800 793 0 1374 956 0 0
normalized size 1 9.05 3.98 0. 6.9 4.8 0. 0.
time (sec) N/A 6.088 0.792 0.701 1.548 0.541 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 369 2025 975 0 2870 2229 0 0
normalized size 1 5.49 2.64 0. 7.78 6.04 0. 0.
time (sec) N/A 7.197 1.425 0.701 1.964 0.58 0. 0.
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 543 2180 1295 0 4651 3987 0 0
normalized size 1 4.01 2.38 0. 8.57 7.34 0. 0.
time (sec) N/A 8.354 1.898 0.71 2.827 0.694 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 770 2384 4312 0 0 0 0 0
normalized size 1 3.1 5.6 0. 0. 0. 0. 0.
time (sec) N/A 6.015 8.932 0.715 0. 0. 0. 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 500 1807 2196 0 0 0 0 0
normalized size 1 3.61 4.39 0. 0. 0. 0. 0.
time (sec) N/A 4.981 6.123 0.698 0. 0. 0. 0.
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 1157 1261 0 0 0 0 0
normalized size 1 4.1 4.47 0. 0. 0. 0. 0.
time (sec) N/A 4.172 2.248 0.551 0. 0. 0. 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 514 331 0 578 555 0 0
normalized size 1 3.15 2.03 0. 3.55 3.4 0. 0.
time (sec) N/A 0.756 0.467 0.532 1.302 0.529 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 1803 789 0 1369 954 0 0
normalized size 1 7.81 3.42 0. 5.93 4.13 0. 0.
time (sec) N/A 6.112 0.95 0.689 1.525 0.517 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 392 1621 870 0 2708 2006 0 0
normalized size 1 4.14 2.22 0. 6.91 5.12 0. 0.
time (sec) N/A 6.812 1.423 0.696 1.831 0.586 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 560 2207 1340 0 5667 4177 0 0
normalized size 1 3.94 2.39 0. 10.12 7.46 0. 0.
time (sec) N/A 8.15 2.034 0.74 2.964 0.717 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 729 2368 1695 0 8331 6518 0 0
normalized size 1 3.25 2.33 0. 11.43 8.94 0. 0.
time (sec) N/A 9.291 3.07 0.7 4.056 0.83 0. 0.
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 676 2026 5730 0 0 0 0 0
normalized size 1 3. 8.48 0. 0. 0. 0. 0.
time (sec) N/A 6.201 9.92 0.723 0. 0. 0. 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 441 1435 3172 0 0 0 0 0
normalized size 1 3.25 7.19 0. 0. 0. 0. 0.
time (sec) N/A 5.123 8.08 0.71 0. 0. 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 686 803 0 2693 1214 0 0
normalized size 1 4.54 5.32 0. 17.83 8.04 0. 0.
time (sec) N/A 1.996 0.95 0.527 1.757 0.57 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 317 626 464 0 1162 1354 0 0
normalized size 1 1.97 1.46 0. 3.67 4.27 0. 0.
time (sec) N/A 0.879 0.455 0.512 1.392 0.573 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 402 2025 971 0 2870 2228 0 0
normalized size 1 5.04 2.42 0. 7.14 5.54 0. 0.
time (sec) N/A 7.043 1.34 0.693 2.02 0.577 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 562 2207 1334 0 5669 4177 0 0
normalized size 1 3.93 2.37 0. 10.09 7.43 0. 0.
time (sec) N/A 8.134 2.125 0.698 2.924 0.701 0. 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 732 2041 1653 0 7552 6098 0 0
normalized size 1 2.79 2.26 0. 10.32 8.33 0. 0.
time (sec) N/A 9.227 2.65 0.737 3.284 0.825 0. 0.
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A C B F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 908 2610 2138 0 12546 9756 0 0
normalized size 1 2.87 2.35 0. 13.82 10.74 0. 0.
time (sec) N/A 10.511 4.309 0.727 6.425 1.049 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 189 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.975 0.538 3.169 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 190 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.884 0.508 2.14 0. 0. 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 292 0 206 0 0 5800 0 0
normalized size 1 0. 0.71 0. 0. 19.86 0. 0.
time (sec) N/A 1.977 7.58 5.497 0. 0.826 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 210 0 134 0 0 2201 0 0
normalized size 1 0. 0.64 0. 0. 10.48 0. 0.
time (sec) N/A 1.215 2.072 4.484 0. 0.651 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 168 78 0 0 647 0 0
normalized size 1 1.31 0.61 0. 0. 5.05 0. 0.
time (sec) N/A 0.616 0.522 4.637 0. 0.573 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F A F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 125 0 0 0 0 227 0 0
normalized size 1 0. 0. 0. 0. 1.82 0. 0.
time (sec) N/A 0.737 0.232 2.954 0. 0.496 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F A F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 206 0 0 0 0 676 0 0
normalized size 1 0. 0. 0. 0. 3.28 0. 0.
time (sec) N/A 0.826 0.257 26.166 0. 0.545 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F B F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 295 0 0 0 0 1791 0 0
normalized size 1 0. 0. 0. 0. 6.07 0. 0.
time (sec) N/A 0.815 0.324 23.922 0. 0.582 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 309 0 206 0 0 5785 0 0
normalized size 1 0. 0.67 0. 0. 18.72 0. 0.
time (sec) N/A 2.055 6.694 5.698 0. 0.822 0. 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F A F F B F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 223 0 134 0 0 2186 0 0
normalized size 1 0. 0.6 0. 0. 9.8 0. 0.
time (sec) N/A 1.159 2.036 4.479 0. 0.646 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 170 78 0 0 632 0 0
normalized size 1 1.24 0.57 0. 0. 4.61 0. 0.
time (sec) N/A 0.616 0.508 4.586 0. 0.539 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F A F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 128 0 0 0 0 216 0 0
normalized size 1 0. 0. 0. 0. 1.69 0. 0.
time (sec) N/A 0.695 0.235 3.039 0. 0.528 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F A F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 214 0 0 0 0 649 0 0
normalized size 1 0. 0. 0. 0. 3.03 0. 0.
time (sec) N/A 0.776 0.26 25.665 0. 0.539 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F B F(-1) F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 306 0 0 0 0 1764 0 0
normalized size 1 0. 0. 0. 0. 5.76 0. 0.
time (sec) N/A 0.757 0.324 25.781 0. 0.547 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 40 0 0 153 0 63
normalized size 1 1. 0.98 0. 0. 3.73 0. 1.54
time (sec) N/A 0.108 0.026 0.861 0. 0.537 0. 1.278
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 40 0 0 153 0 63
normalized size 1 1. 0.98 0. 0. 3.73 0. 1.54
time (sec) N/A 0.041 0.011 1.394 0. 0.499 0. 1.279
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 193 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.811 0.438 3.535 0. 0. 0. 0.
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F(-1) F(-2)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 194 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.711 0.398 3.481 0. 0. 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 64288 1034 906 0 0
normalized size 1 1. 0.96 1428.62 22.98 20.13 0. 0.
time (sec) N/A 0.118 0.02 18.661 1.442 0.523 0. 0.
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 11062 522 466 0 0
normalized size 1 1. 0.96 245.82 11.6 10.36 0. 0.
time (sec) N/A 0.112 0.015 2.427 1.369 0.484 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 1152 204 192 0 0
normalized size 1 1. 0.96 25.6 4.53 4.27 0. 0.
time (sec) N/A 0.082 0.012 0.615 1.269 0.471 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 39 368 66 105 0 51
normalized size 1 1. 0.95 8.98 1.61 2.56 0. 1.24
time (sec) N/A 0.122 0.087 0.407 1.729 0.492 0. 1.282
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 41 366 109 185 0 128
normalized size 1 1. 0.95 8.51 2.53 4.3 0. 2.98
time (sec) N/A 0.122 0.02 0.399 1.805 0.507 0. 1.295
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 43 366 297 520 0 406
normalized size 1 1. 0.96 8.13 6.6 11.56 0. 9.02
time (sec) N/A 0.122 0.02 0.404 2.095 0.496 0. 1.239
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 47 0 0 204 0 0
normalized size 1 1. 0.96 0. 0. 4.16 0. 0.
time (sec) N/A 0.149 0.028 2.183 0. 0.545 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 51 0 0 215 0 0
normalized size 1 1. 0.93 0. 0. 3.91 0. 0.
time (sec) N/A 0.216 0.046 2.22 0. 0.511 0. 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 50 0 0 209 0 0
normalized size 1 1. 0.96 0. 0. 4.02 0. 0.
time (sec) N/A 0.106 0.012 2.884 0. 0.546 0. 0.
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 39 368 66 105 0 51
normalized size 1 1. 0.95 8.98 1.61 2.56 0. 1.24
time (sec) N/A 0.123 0.051 0.069 1.506 0.509 0. 1.169
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 43 374 72 111 0 57
normalized size 1 1. 0.91 7.96 1.53 2.36 0. 1.21
time (sec) N/A 0.166 0.123 0.426 1.739 0.513 0. 1.215
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 42 371 69 108 0 54
normalized size 1 1. 0.95 8.43 1.57 2.45 0. 1.23
time (sec) N/A 0.078 0.054 0.418 1.787 0.488 0. 1.223
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 88 88 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.36 1.237 0. 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 0 0 220 0 0
normalized size 1 1. 1. 0. 0. 2.93 0. 0.
time (sec) N/A 0.075 0.027 0.809 0. 0.484 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 0 0 177 0 0
normalized size 1 1. 1. 0. 0. 2.36 0. 0.
time (sec) N/A 0.073 0.024 0.643 0. 0.476 0. 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 0 0 134 0 0
normalized size 1 1. 1. 0. 0. 1.79 0. 0.
time (sec) N/A 0.05 0.02 0.457 0. 0.504 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 72 0 0 90 0 0
normalized size 1 1. 1. 0. 0. 1.25 0. 0.
time (sec) N/A 0.032 0.071 0.457 0. 0.457 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 34 0 50 78 0 43
normalized size 1 1. 1.03 0. 1.52 2.36 0. 1.3
time (sec) N/A 0.075 0.07 0.815 1.745 0.486 0. 1.179
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 71 0 0 93 0 0
normalized size 1 1. 1. 0. 0. 1.31 0. 0.
time (sec) N/A 0.029 0.069 0.44 0. 0.488 0. 0.
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 0 0 136 0 0
normalized size 1 1. 1. 0. 0. 1.81 0. 0.
time (sec) N/A 0.047 0.017 0.439 0. 0.512 0. 0.
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 0 0 180 0 0
normalized size 1 1. 1. 0. 0. 2.4 0. 0.
time (sec) N/A 0.07 0.018 0.67 0. 0.521 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 361 1021 0 0 0 0 0 0
normalized size 1 2.83 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.926 4.202 5.059 0. 0. 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 282 656 0 0 0 0 0 0
normalized size 1 2.33 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.211 3.094 3.089 0. 0. 0. 0.
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 371 1415 0 0 0 0 0
normalized size 1 1.83 6.97 0. 0. 0. 0. 0.
time (sec) N/A 0.762 1.046 3.411 0. 0. 0. 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 163 304 1447 0 0 0 0
normalized size 1 1.33 2.47 11.76 0. 0. 0. 0.
time (sec) N/A 0.365 0.292 0.73 0. 0. 0. 0.
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.427 0.161 7.096 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.48 0.332 9.293 0. 0. 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 298 42 482 68 0 0
normalized size 1 1. 9.03 1.27 14.61 2.06 0. 0.
time (sec) N/A 0.095 0.173 0.065 1.276 0.461 0. 0.
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 320 45 464 78 0 0
normalized size 1 1. 11.85 1.67 17.19 2.89 0. 0.
time (sec) N/A 0.066 0.241 0.065 1.412 0.476 0. 0.
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 320 45 454 78 0 0
normalized size 1 1. 11.85 1.67 16.81 2.89 0. 0.
time (sec) N/A 0.118 0.179 0.063 1.314 0.497 0. 0.
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 320 45 463 78 0 0
normalized size 1 1. 11.85 1.67 17.15 2.89 0. 0.
time (sec) N/A 0.117 0.162 0.059 1.169 0.503 0. 0.
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 282 656 0 0 0 0 0 0
normalized size 1 2.33 0. 0. 0. 0. 0. 0.
time (sec) N/A 1.312 2.645 3.54 0. 0. 0. 0.
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 371 1415 0 0 0 0 0
normalized size 1 1.83 6.97 0. 0. 0. 0. 0.
time (sec) N/A 0.819 0.835 4.911 0. 0. 0. 0.
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 163 303 1447 0 0 0 0
normalized size 1 1.33 2.46 11.76 0. 0. 0. 0.
time (sec) N/A 0.394 0.258 0.711 0. 0. 0. 0.
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.431 0.133 12.227 0. 0. 0. 0.
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.46 0.268 4.622 0. 0. 0. 0.

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [89] had the largest ratio of [ 0.7381 ]

Table 2.1Rubi 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 2.1 36 0.167
4 A 4 3 1. 28 0.107
5 A 14 11 1.6 38 0.29
6 A 15 11 1.56 38 0.29
7 B 10 4 2.25 38 0.105
8 A 10 4 1.3 38 0.105
9 A 10 4 0.96 38 0.105
10 A 14 4 0.78 40 0.1
11 A 14 4 0.88 40 0.1
12 A 10 4 0.84 38 0.105
13 A 4 3 1. 30 0.1
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 0.1
18 A 14 4 1.8 40 0.1
19 A 14 4 1.28 40 0.1
20 A 18 4 0.91 40 0.1
21 A 14 4 0.89 40 0.1
22 A 10 4 0.86 38 0.105
23 A 4 3 1. 30 0.1
24 A 23 13 1.22 40 0.325
25 A 22 14 1.4 40 0.35
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 0.1
29 B 18 4 2.26 40 0.1
30 A 18 4 1.58 40 0.1
31 A 23 13 1.62 40 0.325
32 A 19 13 1.66 40 0.325
33 A 14 11 1.7 38 0.29
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 2.1 40 0.275
38 C 32 11 1.66 40 0.275
39 A 22 14 1.52 40 0.35
40 A 18 13 1.29 40 0.325
41 A 15 11 1.39 38 0.29
42 A 4 3 1.03 30 0.1
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. 30 0.1
51 C 28 11 2.2 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 0.4
59 B 39 19 2.25 40 0.475
60 B 43 20 2.93 40 0.5
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 0.31
65 A 74 13 0.88 42 0.31
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 0.5
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 0.31
75 A 86 13 0.91 42 0.31
76 A 54 13 0.9 40 0.325
77 A 24 13 1.2 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 0.5
81 C 130 11 6.6 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 0.6
87 B 46 23 5.68 32 0.719
88 C 61 29 26.43 42 0.69
89 C 87 31 9.2 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 4.5 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 2.8 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. 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 1.3 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. 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 1.8 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. 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 1.6 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. 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 1.4 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 0.6
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 3.1 45 0.244
177 C 110 11 2.2 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 0.9 43 0.302
181 A 23 13 1.2 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 0.6
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 3.1 45 0.622
195 B 89 26 3.61 45 0.578
196 B 69 25 4.1 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. 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. 35 0.029
225 A 1 1 1. 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. 40 0.025
229 A 1 1 1. 40 0.025
230 A 1 1 1. 38 0.026
231 A 1 1 1. 40 0.025
232 A 1 1 1. 40 0.025
233 A 1 1 1. 40 0.025
234 A 1 1 1. 40 0.025
235 A 1 1 1. 46 0.022
236 A 1 1 1. 50 0.02
237 A 1 1 1. 40 0.025
238 A 1 1 1. 46 0.022
239 A 1 1 1. 50 0.02
240 A 1 1 1. 40 0.025
241 A 1 1 1. 35 0.029
242 A 1 1 1. 35 0.029
243 A 1 1 1. 33 0.03
244 A 1 1 1. 28 0.036
245 A 1 1 1. 35 0.029
246 A 1 1 1. 28 0.036
247 A 1 1 1. 33 0.03
248 A 1 1 1. 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. 0 0.
254 A 0 0 0. 0 0.
255 A 2 2 1. 40 0.05
256 A 2 2 1. 38 0.053
257 A 3 3 1. 33 0.091
258 A 3 3 1. 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. 0 0.
263 A 0 0 0. 0 0.

[next] [prev] [prev-tail] [front] [up]