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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
 2.2 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, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 4, 5, 6, 7, 10, 15, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 31, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 65, 66, 69, 70, 71, 74, 75, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 91, 92, 101, 108, 109, 110, 111, 116, 117, 118, 119, 123, 124, 125, 126, 127, 131, 132, 133, 134, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 161, 162, 163, 164, 165, 166, 167, 168, 169, 173, 174, 175, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 203, 204, 206, 207, 208, 211, 212, 213, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 235, 238, 239, 241, 242, 244, 245, 246, 247, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 266, 267, 269, 270, 271, 275, 276, 277, 279, 281, 282, 285, 286, 287, 288, 289, 293, 294, 295, 296, 298, 299, 302, 303, 305, 306, 332, 334, 336, 337, 341, 350, 351, 352, 358 }

B grade: { 8, 11, 12, 14, 21, 22, 32, 33, 34, 35, 46, 47, 48, 49, 50, 55, 63, 64, 67, 68, 72, 73, 76, 78, 79, 89, 90, 98, 99, 100, 115, 160, 170, 171, 172, 209, 232, 233, 234, 236, 237, 240, 243, 264, 265, 268, 272, 273, 274, 278, 280, 283, 284, 297, 301, 304, 335, 339, 340, 342, 343, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

C grade: { 3, 9, 93, 94, 95, 96, 97, 102, 103, 104, 105, 106, 107, 112, 113, 114, 120, 121, 122, 128, 129, 130, 135, 136, 176, 183, 195, 198, 199, 200, 201, 202, 205, 210, 214, 215, 216, 217, 248, 249, 250, 290, 291, 292, 300, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 338 }

F grade: { 13, 196, 197, 328, 329, 330, 331, 333, 348, 349}

2.1.3 Maple

A grade: { 18, 20, 21, 23, 24, 25, 32, 35, 36, 37, 43, 50, 51, 55, 56, 57, 58, 59, 63, 65, 68, 69, 74, 75, 80, 81, 82, 83, 84, 85, 89, 90, 91, 92, 93, 94, 98, 99, 100, 101, 102, 103, 108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 121, 123, 124, 125, 126, 127, 128, 129, 130, 132, 133, 134, 137, 139, 140, 141, 142, 147, 149, 150, 151, 152, 160, 161, 162, 163, 177, 185, 191, 194, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 251, 252, 253, 254, 258, 259, 261, 268, 269, 275, 281, 282, 286, 287, 288, 289, 290, 293, 294, 295, 296, 300, 301, 302, 303, 310, 311, 358 }

B grade: { 16, 17, 19, 22, 26, 27, 28, 29, 30, 31, 33, 34, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 52, 53, 54, 60, 61, 62, 64, 66, 67, 70, 71, 72, 73, 76, 77, 78, 86, 87, 88, 95, 96, 97, 104, 105, 106, 107, 114, 122, 131, 135, 136, 138, 143, 144, 145, 146, 148, 153, 154, 155, 156, 157, 158, 159, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 235, 248, 249, 250, 255, 256, 257, 260, 262, 263, 264, 265, 266, 267, 270, 271, 272, 273, 274, 276, 277, 278, 279, 280, 283, 284, 285, 291, 292, 297, 298, 299, 304, 305, 306, 307, 308, 309, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 352, 353, 354, 355, 356, 357 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 79, 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, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351 }

2.1.4 Maxima

A grade: { 17, 18, 20, 30, 43, 56, 66, 77, 135, 176, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 244, 245, 246, 247, 251, 252, 253, 254, 258, 259, 261

B grade: { 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 108, 109, 110, 111, 115, 116, 117, 118, 119, 123, 124, 125, 126, 127, 144, 155, 168, 182, 189, 205, 206, 207, 235, 236, 237, 238, 239, 240, 241, 242, 243, 260, 265, 266, 267, 268, 272, 273, 274, 275, 279, 280, 281, 282 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 112, 113, 114, 120, 121, 122, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 183, 184, 185, 186, 187, 188, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 248, 249, 250, 255, 256, 257, 262, 263, 264, 269, 270, 271, 276, 277, 278, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358 }

2.1.5 FriCAS

A grade: { 14, 15, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 31, 38, 39, 40, 41, 42, 43, 44, 45, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 89, 102, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 137, 138, 139, 140, 141, 142, 146, 147, 148, 149, 150, 151, 152, 157, 158, 159, 160, 161, 162, 163, 164, 171, 172, 173, 178, 179, 184, 185, 186, 191, 192, 193, 194, 206, 207, 211, 212, 213, 222, 223, 224, 225, 226, 227, 228, 229, 244, 245, 246, 247, 248, 251, 252, 253, 254, 255, 256, 258, 259, 260, 261, 262, 263, 268, 275, 282, 286, 287, 288, 289, 290, 293, 294, 295, 296, 300, 301, 302, 303, 350, 351, 358 }

B grade: { 16, 21, 22, 32, 33, 34, 35, 36, 37, 46, 47, 48, 49, 50, 51, 55, 63, 64, 71, 72, 73, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 112, 170, 205, 218, 219, 220, 221, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 249, 250, 257, 264, 265, 266, 267, 269, 270, 271, 272, 273, 274, 276, 277, 278, 279, 280, 281, 283, 284, 285, 291, 292, 297, 298, 299, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 352 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 135, 136, 143, 144, 145, 153, 154, 155, 156, 165, 166, 167, 168, 169, 174, 175, 176, 177, 180, 181, 182, 183, 187, 188, 189, 190, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 208, 209, 210, 214, 215, 216, 217, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 353, 354, 355, 356, 357 }

2.1.6 Sympy

A grade: { 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30, 31, 32, 38, 39, 40, 41, 42, 43, 44, 53, 54, 55, 56, 57, 58, 63, 64, 65, 66, 74, 75, 77, 224, 225, 226, 227, 238, 239, 244, 245, 246, 247, 251, 252, 253, 254, 258, 259, 260, 261, 266, 267, 268, 273, 274, 275, 281, 282 }

B grade: { }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 24, 25, 33, 34, 35, 36, 37, 45, 46, 47, 48, 49, 50, 51, 52, 59, 60, 61, 62, 67, 68, 69, 70, 71, 72, 73, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 240, 241, 242, 243, 248, 249, 250, 255, 256, 257, 262, 263, 264, 265, 269, 270, 271, 272, 276, 277, 278, 279, 280, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358 }

2.1.7 Giac

A grade: { 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 52, 53, 54, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 70, 71, 72, 73, 74, 75, 77, 224, 225, 226, 227, 228, 230, 231, 233, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 251, 252, 253, 254, 255, 258, 259, 260, 261, 266, 268, 269, 274, 275, 276, 277, 281, 282, 358 }

B grade: { 16, 21, 34, 35, 36, 37, 48, 49, 50, 51, 55, 61, 67, 68, 69, 76, 78, 79, 80, 85, 86, 93, 97, 102, 106, 108, 109, 110, 111, 112, 113, 115, 116, 117, 118, 119, 120, 122, 123, 124, 125, 126, 127, 128, 229, 232, 234, 250, 256, 257, 262, 263, 264, 265, 267, 270, 271, 272, 273, 278, 279, 280, 283, 284, 285, 307, 308, 309, 310, 316, 317, 352 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 81, 82, 83, 84, 87, 88, 89, 90, 91, 92, 94, 95, 96, 98, 99, 100, 101, 103, 104, 105, 107, 114, 121, 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, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 311, 312, 313, 314, 315, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355, 356, 357 }

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 F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 373 373 248 0 0 0 0 0
normalized size 1 1. 0.66 0. 0. 0. 0. 0.
time (sec) N/A 0.841 2.263 3.333 0. 0. 0. 0.
Problem 2 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 277 277 204 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.492 1.501 2.673 0. 0. 0. 0.
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 392 0 0 0 0 0
normalized size 1 1. 2.05 0. 0. 0. 0. 0.
time (sec) N/A 0.217 3.778 1.806 0. 0. 0. 0.
Problem 4 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 202 202 157 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.224 0.867 1.033 0. 0. 0. 0.
Problem 5 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 279 279 212 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.488 1.277 1.539 0. 0. 0. 0.
Problem 6 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 362 362 260 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.846 4.424 1.724 0. 0. 0. 0.
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 336 336 596 0 0 0 0 0
normalized size 1 1. 1.77 0. 0. 0. 0. 0.
time (sec) N/A 0.872 18.294 0.499 0. 0. 0. 0.
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 229 229 478 0 0 0 0 0
normalized size 1 1. 2.09 0. 0. 0. 0. 0.
time (sec) N/A 0.494 15.405 0.417 0. 0. 0. 0.
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 409 0 0 0 0 0
normalized size 1 1. 2.99 0. 0. 0. 0. 0.
time (sec) N/A 0.213 65.847 0.458 0. 0. 0. 0.
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 152 152 250 0 0 0 0 0
normalized size 1 1. 1.64 0. 0. 0. 0. 0.
time (sec) N/A 0.396 4.709 0.383 0. 0. 0. 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 226 523 0 0 0 0 0
normalized size 1 1. 2.31 0. 0. 0. 0. 0.
time (sec) N/A 0.675 13.103 0.378 0. 0. 0. 0.
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 221 221 5918 0 0 0 0 0
normalized size 1 1. 26.78 0. 0. 0. 0. 0.
time (sec) N/A 0.453 22.213 4.251 0. 0. 0. 0.
Problem 13 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 114 114 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.156 10.886 4.162 0. 0. 0. 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 107 0 0 101 0 0
normalized size 1 1. 2.89 0. 0. 2.73 0. 0.
time (sec) N/A 0.119 1.512 0.546 0. 1.503 0. 0.
Problem 15 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 35 35 35 0 0 101 0 0
normalized size 1 1. 1. 0. 0. 2.89 0. 0.
time (sec) N/A 0.094 0.363 0.454 0. 1.466 0. 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 147 493 0 1729 0 501
normalized size 1 1. 0.96 3.22 0. 11.3 0. 3.27
time (sec) N/A 0.393 0.87 0.106 0. 1.839 0. 1.211
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 182 182 131 342 454 302 853 248
normalized size 1 1. 0.72 1.88 2.49 1.66 4.69 1.36
time (sec) N/A 0.295 0.935 0.036 0.977 1.484 10.528 1.208
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 95 208 270 248 486 196
normalized size 1 1. 0.67 1.46 1.9 1.75 3.42 1.38
time (sec) N/A 0.25 0.812 0.033 0.966 1.432 5.81 1.198
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 105 74 185 242 189 396 154
normalized size 1 1.08 0.76 1.91 2.49 1.95 4.08 1.59
time (sec) N/A 0.186 0.65 0.029 0.966 1.517 2.628 1.171
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 48 74 99 112 138 78
normalized size 1 1. 0.98 1.51 2.02 2.29 2.82 1.59
time (sec) N/A 0.083 0.154 0.023 0.968 1.302 1.229 1.142
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 125 113 358 289 830 167
normalized size 1 1. 2.23 2.02 6.39 5.16 14.82 2.98
time (sec) N/A 0.169 0.862 0.1 1.456 1.405 10.484 1.199
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 160 160 616 402 711 124
normalized size 1 1. 2.22 2.22 8.56 5.58 9.88 1.72
time (sec) N/A 0.225 0.607 0.102 1.484 1.421 19.942 1.143
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 147 115 995 466 1035 188
normalized size 1 1. 1.41 1.11 9.57 4.48 9.95 1.81
time (sec) N/A 0.237 0.683 0.108 1.061 1.353 29.88 1.168
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 174 159 1458 637 0 252
normalized size 1 1. 1.23 1.12 10.27 4.49 0. 1.77
time (sec) N/A 0.285 0.825 0.119 1.094 1.36 0. 1.193
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 200 203 1924 794 0 360
normalized size 1 1. 1.14 1.15 10.93 4.51 0. 2.05
time (sec) N/A 0.307 0.825 0.136 1.155 1.478 0. 1.209
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 219 569 771 381 1586 375
normalized size 1 1. 0.96 2.48 3.37 1.66 6.93 1.64
time (sec) N/A 0.368 1.938 0.037 1.023 1.682 40.239 1.247
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 163 463 621 323 1210 329
normalized size 1 1. 0.86 2.45 3.29 1.71 6.4 1.74
time (sec) N/A 0.296 1.52 0.035 1.001 1.593 23.363 1.21
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 137 365 486 257 910 281
normalized size 1 1. 0.93 2.48 3.31 1.75 6.19 1.91
time (sec) N/A 0.216 1.051 0.03 0.988 1.509 16.908 1.163
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 54 166 221 176 372 159
normalized size 1 1. 0.61 1.87 2.48 1.98 4.18 1.79
time (sec) N/A 0.137 0.143 0.026 0.968 1.463 4.941 1.21
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 67 186 242 190 396 150
normalized size 1 1. 0.68 1.9 2.47 1.94 4.04 1.53
time (sec) N/A 0.149 0.786 0.027 0.972 1.404 1.799 1.168
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 191 299 842 423 2365 220
normalized size 1 1. 1.63 2.56 7.2 3.62 20.21 1.88
time (sec) N/A 0.289 1.235 0.113 1.483 1.398 9.736 1.172
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 238 198 1133 568 2474 182
normalized size 1 1. 2.18 1.82 10.39 5.21 22.7 1.67
time (sec) N/A 0.284 0.607 0.116 1.531 1.433 26.478 1.199
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 278 249 1538 655 0 215
normalized size 1 1. 2.48 2.22 13.73 5.85 0. 1.92
time (sec) N/A 0.277 0.696 0.127 1.579 1.427 0. 1.217
Problem 34 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 75 75 191 161 2121 652 0 309
normalized size 1 1. 2.55 2.15 28.28 8.69 0. 4.12
time (sec) N/A 0.229 0.912 0.131 1.173 1.412 0. 1.24
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 261 205 2817 833 0 406
normalized size 1 1. 2.27 1.78 24.5 7.24 0. 3.53
time (sec) N/A 0.286 1.196 0.153 1.259 1.457 0. 1.237
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 285 249 3515 1027 0 504
normalized size 1 1. 1.83 1.6 22.53 6.58 0. 3.23
time (sec) N/A 0.374 1.542 0.153 1.377 1.466 0. 1.232
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 313 293 4212 1204 0 601
normalized size 1 1. 1.59 1.49 21.38 6.11 0. 3.05
time (sec) N/A 0.465 3.592 0.185 1.527 1.426 0. 1.291
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 255 651 892 455 1948 468
normalized size 1 1. 0.96 2.46 3.37 1.72 7.35 1.77
time (sec) N/A 0.391 4.287 0.148 1.042 1.754 83.288 1.488
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 232 611 833 381 1753 406
normalized size 1 1. 1.05 2.75 3.75 1.72 7.9 1.83
time (sec) N/A 0.322 2.523 0.036 1.035 1.82 52.216 1.345
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 209 568 771 315 1579 369
normalized size 1 1. 1.15 3.14 4.26 1.74 8.72 2.04
time (sec) N/A 0.234 1.885 0.032 1.017 1.596 36.119 1.291
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 64 263 356 221 682 219
normalized size 1 1. 0.55 2.25 3.04 1.89 5.83 1.87
time (sec) N/A 0.148 0.226 0.024 0.993 1.46 15.922 1.302
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 133 364 486 258 910 275
normalized size 1 1. 0.96 2.64 3.52 1.87 6.59 1.99
time (sec) N/A 0.2 1.034 0.03 0.993 1.506 11.675 1.175
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 95 208 270 248 486 196
normalized size 1 1. 0.68 1.49 1.93 1.77 3.47 1.4
time (sec) N/A 0.222 0.824 0.031 0.969 1.35 6.062 1.134
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 223 449 1538 533 4255 316
normalized size 1 1. 1.43 2.88 9.86 3.42 27.28 2.03
time (sec) N/A 0.31 1.508 0.121 1.54 1.501 32.466 1.178
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 280 399 1871 687 0 315
normalized size 1 1. 1.72 2.45 11.48 4.21 0. 1.93
time (sec) N/A 0.348 0.849 0.131 1.61 1.43 0. 1.239
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 316 323 2275 821 0 305
normalized size 1 1. 2.07 2.11 14.87 5.37 0. 1.99
time (sec) N/A 0.342 1.069 0.138 1.637 1.459 0. 1.238
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 356 374 2859 891 0 288
normalized size 1 1. 2.36 2.48 18.93 5.9 0. 1.91
time (sec) N/A 0.33 1.152 0.142 1.719 1.564 0. 1.207
Problem 48 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 77 77 283 205 3646 824 0 406
normalized size 1 1. 3.68 2.66 47.35 10.7 0. 5.27
time (sec) N/A 0.236 2.447 0.152 1.337 1.461 0. 1.265
Problem 49 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 118 118 313 249 4577 1014 0 504
normalized size 1 1. 2.65 2.11 38.79 8.59 0. 4.27
time (sec) N/A 0.289 2.812 0.164 1.496 1.557 0. 1.239
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 339 293 5505 1215 0 601
normalized size 1 1. 2.17 1.88 35.29 7.79 0. 3.85
time (sec) N/A 0.375 5.085 0.184 1.672 1.505 0. 1.301
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 378 337 6433 1400 0 698
normalized size 1 1. 1.92 1.71 32.65 7.11 0. 3.54
time (sec) N/A 0.444 6.645 0.201 1.891 1.631 0. 1.264
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 274 678 2425 651 0 463
normalized size 1 1. 1.44 3.57 12.76 3.43 0. 2.44
time (sec) N/A 0.363 2.292 0.134 1.58 1.505 0. 1.237
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 220 449 1512 533 4255 317
normalized size 1 1. 1.4 2.86 9.63 3.39 27.1 2.02
time (sec) N/A 0.318 1.363 0.121 1.534 1.502 31.734 1.202
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 188 299 821 423 2365 221
normalized size 1 1. 1.59 2.53 6.96 3.58 20.04 1.87
time (sec) N/A 0.278 1.274 0.106 1.498 1.419 14.927 1.189
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 127 113 346 289 830 165
normalized size 1 1. 2.23 1.98 6.07 5.07 14.56 2.89
time (sec) N/A 0.155 0.562 0.096 1.452 1.424 7.146 1.153
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 57 47 58 83 55
normalized size 1 1. 1. 1.63 1.34 1.66 2.37 1.57
time (sec) N/A 0.136 0.028 0.056 0.965 1.357 4.166 1.201
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 108 93 359 171 578 138
normalized size 1 1. 1.71 1.48 5.7 2.71 9.17 2.19
time (sec) N/A 0.202 0.569 0.076 0.992 1.401 16.241 1.192
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 157 145 571 265 1732 239
normalized size 1 1. 1.54 1.42 5.6 2.6 16.98 2.34
time (sec) N/A 0.257 0.842 0.085 1.026 1.32 31.958 1.229
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 240 189 836 350 0 320
normalized size 1 1. 1.69 1.33 5.89 2.46 0. 2.25
time (sec) N/A 0.307 1.098 0.087 1.072 1.306 0. 1.196
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 354 778 4026 922 0 556
normalized size 1 1. 1.48 3.24 16.77 3.84 0. 2.32
time (sec) N/A 0.41 1.986 0.161 1.767 1.527 0. 1.23
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 311 549 2827 786 0 498
normalized size 1 1. 1.73 3.05 15.71 4.37 0. 2.77
time (sec) N/A 0.362 1.259 0.148 1.659 1.823 0. 1.222
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 274 399 1860 687 0 315
normalized size 1 1. 1.69 2.46 11.48 4.24 0. 1.94
time (sec) N/A 0.332 0.846 0.129 1.588 1.814 0. 1.199
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 234 198 1125 568 2474 184
normalized size 1 1. 2.17 1.83 10.42 5.26 22.91 1.7
time (sec) N/A 0.277 0.572 0.117 1.528 1.707 30.298 1.183
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 156 160 610 401 711 124
normalized size 1 1. 2.17 2.22 8.47 5.57 9.88 1.72
time (sec) N/A 0.207 0.56 0.104 1.489 1.624 16.259 1.196
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 110 97 358 171 578 138
normalized size 1 1. 1.77 1.56 5.77 2.76 9.32 2.23
time (sec) N/A 0.197 0.481 0.072 1.009 1.569 16.253 1.174
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 53 145 63 103 651 117
normalized size 1 1. 0.85 2.34 1.02 1.66 10.5 1.89
time (sec) N/A 0.14 0.118 0.066 0.987 1.612 17.455 1.198
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 237 183 879 262 0 317
normalized size 1 1. 2.55 1.97 9.45 2.82 0. 3.41
time (sec) N/A 0.22 0.961 0.095 1.073 1.622 0. 1.232
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 285 233 1127 371 0 398
normalized size 1 1. 2.11 1.73 8.35 2.75 0. 2.95
time (sec) N/A 0.27 0.924 0.116 1.093 1.653 0. 1.237
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 329 277 1347 439 0 479
normalized size 1 1. 1.88 1.58 7.7 2.51 0. 2.74
time (sec) N/A 0.325 1.105 0.118 1.15 1.777 0. 1.271
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 243 388 649 4431 1080 0 508
normalized size 1 1. 1.6 2.67 18.23 4.44 0. 2.09
time (sec) N/A 0.412 2.627 0.184 1.81 1.893 0. 1.288
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 348 474 3232 961 0 412
normalized size 1 1. 1.73 2.36 16.08 4.78 0. 2.05
time (sec) N/A 0.392 1.537 0.155 1.719 1.834 0. 1.235
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 308 323 2267 821 0 305
normalized size 1 1. 2.01 2.11 14.82 5.37 0. 1.99
time (sec) N/A 0.331 1.048 0.141 1.63 1.735 0. 1.286
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 272 249 1531 656 0 215
normalized size 1 1. 2.47 2.26 13.92 5.96 0. 1.95
time (sec) N/A 0.265 0.684 0.123 1.575 1.742 0. 1.213
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 139 115 990 464 1035 186
normalized size 1 1. 1.35 1.12 9.61 4.5 10.05 1.81
time (sec) N/A 0.225 0.772 0.11 1.046 1.61 34.11 1.205
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 156 145 571 263 1732 236
normalized size 1 1. 1.53 1.42 5.6 2.58 16.98 2.31
time (sec) N/A 0.249 0.792 0.087 1.011 1.613 54.091 1.212
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 237 185 878 262 0 317
normalized size 1 1. 2.63 2.06 9.76 2.91 0. 3.52
time (sec) N/A 0.204 0.986 0.08 1.063 1.752 0. 1.207
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 65 227 81 138 1506 181
normalized size 1 1. 0.77 2.7 0.96 1.64 17.93 2.15
time (sec) N/A 0.152 0.198 0.08 0.976 1.866 104.988 1.249
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 325 271 1376 350 0 479
normalized size 1 1. 2.69 2.24 11.37 2.89 0. 3.96
time (sec) N/A 0.223 1.091 0.1 1.147 2.092 0. 1.213
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 373 0 1621 459 0 560
normalized size 1 1. 2.3 0. 10.01 2.83 0. 3.46
time (sec) N/A 0.289 1.321 180. 1.19 2.038 0. 1.254
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 401 365 1872 543 0 641
normalized size 1 1. 1.96 1.78 9.13 2.65 0. 3.13
time (sec) N/A 0.345 3.255 0.128 1.229 2.027 0. 1.279
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 149 119 0 749 0 0
normalized size 1 1. 0.75 0.6 0. 3.78 0. 0.
time (sec) N/A 0.487 2.881 1.046 0. 1.789 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 123 103 0 591 0 0
normalized size 1 1. 0.78 0.66 0. 3.76 0. 0.
time (sec) N/A 0.412 1.449 1.018 0. 1.759 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 104 81 0 454 0 0
normalized size 1 1. 0.9 0.7 0. 3.91 0. 0.
time (sec) N/A 0.32 0.98 0.917 0. 1.718 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 87 63 0 336 0 0
normalized size 1 1. 1.19 0.86 0. 4.6 0. 0.
time (sec) N/A 0.24 0.423 0.963 0. 1.663 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 166 159 0 690 0 541
normalized size 1 1. 1.36 1.3 0. 5.66 0. 4.43
time (sec) N/A 0.336 1.265 1.253 0. 1.772 0. 2.415
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 157 227 0 852 0 720
normalized size 1 1. 1.37 1.97 0. 7.41 0. 6.26
time (sec) N/A 0.318 1.553 0.958 0. 1.761 0. 3.558
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 199 268 0 1035 0 0
normalized size 1 1. 1.58 2.13 0. 8.21 0. 0.
time (sec) N/A 0.335 2.175 1.45 0. 1.78 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 217 352 0 1289 0 0
normalized size 1 1. 1.33 2.16 0. 7.91 0. 0.
time (sec) N/A 0.373 3.318 1.416 0. 1.712 0. 0.
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 1355 121 0 895 0 0
normalized size 1 1. 6.45 0.58 0. 4.26 0. 0.
time (sec) N/A 0.554 6.703 1.12 0. 1.547 0. 0.
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 1173 105 0 740 0 0
normalized size 1 1. 7.02 0.63 0. 4.43 0. 0.
time (sec) N/A 0.453 6.557 0.951 0. 1.531 0. 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 106 83 0 575 0 0
normalized size 1 1. 0.88 0.69 0. 4.79 0. 0.
time (sec) N/A 0.387 4.642 1.133 0. 1.437 0. 0.
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 89 65 0 463 0 0
normalized size 1 1. 1.1 0.8 0. 5.72 0. 0.
time (sec) N/A 0.33 0.592 0.865 0. 1.506 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 175 197 0 822 0 771
normalized size 1 1. 1.09 1.22 0. 5.11 0. 4.79
time (sec) N/A 0.442 1.194 1.164 0. 1.56 0. 1.973
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 355 282 0 988 0 0
normalized size 1 1. 2.02 1.6 0. 5.61 0. 0.
time (sec) N/A 0.481 0.916 1.065 0. 1.528 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 344 386 0 1143 0 0
normalized size 1 1. 1.97 2.21 0. 6.53 0. 0.
time (sec) N/A 0.478 1.2 1.443 0. 1.533 0. 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 342 354 0 1353 0 0
normalized size 1 1. 1.95 2.02 0. 7.73 0. 0.
time (sec) N/A 0.491 1.839 1.628 0. 1.599 0. 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 357 440 0 1670 0 2141
normalized size 1 1. 1.61 1.98 0. 7.52 0. 9.64
time (sec) N/A 0.511 2.674 1.628 0. 1.632 0. 6.215
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 1569 121 0 972 0 0
normalized size 1 1. 7.47 0.58 0. 4.63 0. 0.
time (sec) N/A 0.534 6.886 1.05 0. 1.529 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 1351 105 0 849 0 0
normalized size 1 1. 8.39 0.65 0. 5.27 0. 0.
time (sec) N/A 0.472 6.719 0.887 0. 1.54 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 1157 83 0 722 0 0
normalized size 1 1. 9.33 0.67 0. 5.82 0. 0.
time (sec) N/A 0.407 6.527 0.946 0. 1.547 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 89 65 0 563 0 0
normalized size 1 1. 1.1 0.8 0. 6.95 0. 0.
time (sec) N/A 0.305 1.041 0.968 0. 1.471 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 193 233 0 944 0 938
normalized size 1 1. 0.96 1.16 0. 4.72 0. 4.69
time (sec) N/A 0.521 1.414 1.292 0. 1.482 0. 2.046
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 444 354 0 1099 0 0
normalized size 1 1. 2.04 1.62 0. 5.04 0. 0.
time (sec) N/A 0.546 1.743 1.217 0. 1.535 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 434 434 0 1285 0 0
normalized size 1 1. 1.93 1.93 0. 5.71 0. 0.
time (sec) N/A 0.549 2.308 1.602 0. 1.65 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 422 524 0 1434 0 0
normalized size 1 1. 1.94 2.41 0. 6.61 0. 0.
time (sec) N/A 0.549 3.271 1.516 0. 1.697 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 355 432 0 1646 0 2140
normalized size 1 1. 1.64 1.99 0. 7.59 0. 9.86
time (sec) N/A 0.557 4.672 1.585 0. 1.632 0. 7.619
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 485 526 0 1971 0 0
normalized size 1 1. 1.82 1.98 0. 7.41 0. 0.
time (sec) N/A 0.587 6.862 1.792 0. 1.718 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 157 111 645 282 0 1127
normalized size 1 1. 0.78 0.56 3.22 1.41 0. 5.64
time (sec) N/A 0.385 5.703 0.926 1.55 1.59 0. 2.089
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 134 95 521 230 0 957
normalized size 1 1. 0.84 0.6 3.28 1.45 0. 6.02
time (sec) N/A 0.35 1.778 0.828 1.561 1.494 0. 1.929
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 113 73 397 158 0 786
normalized size 1 1. 0.96 0.62 3.36 1.34 0. 6.66
time (sec) N/A 0.317 0.636 0.811 1.526 1.399 0. 1.592
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 44 53 235 101 0 475
normalized size 1 1. 0.6 0.73 3.22 1.38 0. 6.51
time (sec) N/A 0.275 0.207 0.644 1.501 1.372 0. 1.576
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 140 130 0 447 0 536
normalized size 1 1. 1.54 1.43 0. 4.91 0. 5.89
time (sec) N/A 0.283 0.46 1.197 0. 1.393 0. 1.753
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 284 225 0 608 0 878
normalized size 1 1. 2.09 1.65 0. 4.47 0. 6.46
time (sec) N/A 0.33 0.562 0.98 0. 1.553 0. 2.407
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 404 350 0 753 0 0
normalized size 1 1. 2.24 1.94 0. 4.18 0. 0.
time (sec) N/A 0.425 0.885 1.285 0. 1.513 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 953 143 1029 396 0 1754
normalized size 1 1. 3.94 0.59 4.25 1.64 0. 7.25
time (sec) N/A 0.651 6.87 1.054 1.604 1.578 0. 2.538
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 159 121 905 331 0 1589
normalized size 1 1. 0.79 0.6 4.5 1.65 0. 7.91
time (sec) N/A 0.558 2.966 0.915 1.569 1.512 0. 2.369
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 130 105 779 270 0 1339
normalized size 1 1. 0.84 0.68 5.06 1.75 0. 8.69
time (sec) N/A 0.479 1.219 0.905 1.557 1.499 0. 2.161
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 113 81 651 207 0 1110
normalized size 1 1. 0.98 0.7 5.66 1.8 0. 9.65
time (sec) N/A 0.408 0.692 0.84 1.542 1.518 0. 1.864
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 87 63 463 157 0 934
normalized size 1 1. 1.12 0.81 5.94 2.01 0. 11.97
time (sec) N/A 0.313 0.281 1.041 1.525 1.593 0. 1.703
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 176 168 0 603 0 1046
normalized size 1 1. 1.3 1.24 0. 4.47 0. 7.75
time (sec) N/A 0.354 0.534 1.105 0. 1.778 0. 1.879
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 300 258 0 560 0 0
normalized size 1 1. 1.71 1.47 0. 3.2 0. 0.
time (sec) N/A 0.392 0.881 1.145 0. 1.811 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 430 426 0 717 0 1805
normalized size 1 1. 1.91 1.89 0. 3.19 0. 8.02
time (sec) N/A 0.484 1.462 1.369 0. 1.853 0. 3.833
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 176 143 1276 420 0 2191
normalized size 1 1. 0.73 0.59 5.27 1.74 0. 9.05
time (sec) N/A 0.647 4.426 0.92 1.652 1.902 0. 2.976
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 158 121 1153 367 0 2021
normalized size 1 1. 0.76 0.58 5.52 1.76 0. 9.67
time (sec) N/A 0.567 2.763 1.097 1.651 1.812 0. 2.62
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 132 105 1027 313 0 1716
normalized size 1 1. 0.82 0.66 6.42 1.96 0. 10.72
time (sec) N/A 0.48 1.26 1.176 1.605 1.727 0. 2.53
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 113 83 895 246 0 1391
normalized size 1 1. 0.93 0.69 7.4 2.03 0. 11.5
time (sec) N/A 0.413 0.713 0.993 1.587 1.774 0. 1.991
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 89 65 682 196 0 1539
normalized size 1 1. 1.05 0.76 8.02 2.31 0. 18.11
time (sec) N/A 0.315 0.307 1.001 1.563 1.626 0. 1.727
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 204 200 0 729 0 1511
normalized size 1 1. 1.17 1.15 0. 4.19 0. 8.68
time (sec) N/A 0.438 0.785 1.209 0. 1.764 0. 2.144
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 357 308 0 732 0 0
normalized size 1 1. 1.59 1.38 0. 3.27 0. 0.
time (sec) N/A 0.48 1.424 1.18 0. 1.9 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 479 410 0 659 0 0
normalized size 1 1. 1.86 1.59 0. 2.55 0. 0.
time (sec) N/A 0.555 2.378 1.475 0. 1.84 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 118 174 0 342 0 0
normalized size 1 1. 1.26 1.85 0. 3.64 0. 0.
time (sec) N/A 0.339 0.995 0.398 0. 1.81 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 102 129 0 293 0 0
normalized size 1 1. 1.09 1.37 0. 3.12 0. 0.
time (sec) N/A 0.337 0.841 0.378 0. 1.72 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 84 91 0 227 0 0
normalized size 1 1. 0.89 0.97 0. 2.41 0. 0.
time (sec) N/A 0.333 0.582 0.366 0. 1.709 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 63 57 0 157 0 0
normalized size 1 1. 0.68 0.62 0. 1.71 0. 0.
time (sec) N/A 0.309 0.207 0.355 0. 1.654 0. 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 120 394 236 0 0 0
normalized size 1 1. 1.2 3.94 2.36 0. 0. 0.
time (sec) N/A 0.337 1.177 0.367 1.573 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 147 403 0 0 0 0
normalized size 1 1. 1.48 4.07 0. 0. 0. 0.
time (sec) N/A 0.358 1.168 0.351 0. 0. 0. 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 101 137 0 224 0 0
normalized size 1 1. 1.1 1.49 0. 2.43 0. 0.
time (sec) N/A 0.345 0.55 0.352 0. 1.706 0. 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 103 205 0 263 0 0
normalized size 1 1. 1.1 2.18 0. 2.8 0. 0.
time (sec) N/A 0.337 0.628 0.364 0. 1.759 0. 0.
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 205 185 0 356 0 0
normalized size 1 1. 1.4 1.27 0. 2.44 0. 0.
time (sec) N/A 0.358 1.59 0.324 0. 1.879 0. 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 172 147 0 302 0 0
normalized size 1 1. 1.18 1.01 0. 2.07 0. 0.
time (sec) N/A 0.361 1.693 0.303 0. 1.817 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 96 86 0 216 0 0
normalized size 1 1. 0.72 0.64 0. 1.61 0. 0.
time (sec) N/A 0.348 0.78 0.27 0. 1.74 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 81 91 0 228 0 0
normalized size 1 1. 0.84 0.95 0. 2.38 0. 0.
time (sec) N/A 0.325 0.578 0.326 0. 1.68 0. 0.
Problem 143 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 145 145 136 495 0 0 0 0
normalized size 1 1. 0.94 3.41 0. 0. 0. 0.
time (sec) N/A 0.382 0.71 0.342 0. 0. 0. 0.
Problem 144 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 158 158 210 749 494 0 0 0
normalized size 1 1. 1.33 4.74 3.13 0. 0. 0.
time (sec) N/A 0.385 0.905 0.288 1.58 0. 0. 0.
Problem 145 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 149 149 198 594 0 0 0 0
normalized size 1 1. 1.33 3.99 0. 0. 0. 0.
time (sec) N/A 0.387 0.978 0.28 0. 0. 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 125 223 0 309 0 0
normalized size 1 1. 1.3 2.32 0. 3.22 0. 0.
time (sec) N/A 0.275 1.038 0.273 0. 2.029 0. 0.
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 123 217 0 336 0 0
normalized size 1 1. 0.84 1.49 0. 2.3 0. 0.
time (sec) N/A 0.376 1.397 0.279 0. 2.094 0. 0.
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 126 339 0 393 0 0
normalized size 1 1. 0.82 2.2 0. 2.55 0. 0.
time (sec) N/A 0.373 1.97 0.299 0. 2.091 0. 0.
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 223 203 0 371 0 0
normalized size 1 1. 1.13 1.03 0. 1.87 0. 0.
time (sec) N/A 0.476 2.858 0.368 0. 2.347 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 113 114 0 279 0 0
normalized size 1 1. 0.63 0.63 0. 1.55 0. 0.
time (sec) N/A 0.466 0.841 0.285 0. 2.184 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 165 147 0 304 0 0
normalized size 1 1. 1.16 1.04 0. 2.14 0. 0.
time (sec) N/A 0.362 1.891 0.302 0. 2.091 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 102 129 0 293 0 0
normalized size 1 1. 1.06 1.34 0. 3.05 0. 0.
time (sec) N/A 0.318 0.875 0.339 0. 1.956 0. 0.
Problem 153 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 193 193 177 591 0 0 0 0
normalized size 1 1. 0.92 3.06 0. 0. 0. 0.
time (sec) N/A 0.463 1.569 0.356 0. 0. 0. 0.
Problem 154 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 210 210 231 845 0 0 0 0
normalized size 1 1. 1.1 4.02 0. 0. 0. 0.
time (sec) N/A 0.485 1.752 0.272 0. 0. 0. 0.
Problem 155 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 212 212 207 1093 683 0 0 0
normalized size 1 1. 0.98 5.16 3.22 0. 0. 0.
time (sec) N/A 0.49 1.227 0.265 1.649 0. 0. 0.
Problem 156 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 196 196 204 832 0 0 0 0
normalized size 1 1. 1.04 4.24 0. 0. 0. 0.
time (sec) N/A 0.488 1.237 0.299 0. 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 145 309 0 400 0 0
normalized size 1 1. 1.51 3.22 0. 4.17 0. 0.
time (sec) N/A 0.276 3.06 0.283 0. 1.507 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 146 368 0 451 0 0
normalized size 1 1. 1. 2.52 0. 3.09 0. 0.
time (sec) N/A 0.376 4.204 0.305 0. 1.577 0. 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 144 423 0 490 0 0
normalized size 1 1. 0.73 2.16 0. 2.5 0. 0.
time (sec) N/A 0.483 5.747 0.332 0. 1.57 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 870 259 0 427 0 0
normalized size 1 1. 3.48 1.04 0. 1.71 0. 0.
time (sec) N/A 0.567 7.139 0.306 0. 1.894 0. 0.
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 135 142 0 324 0 0
normalized size 1 1. 0.6 0.63 0. 1.43 0. 0.
time (sec) N/A 0.559 1.673 0.33 0. 1.814 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 232 203 0 373 0 0
normalized size 1 1. 1.21 1.06 0. 1.94 0. 0.
time (sec) N/A 0.46 2.197 0.359 0. 1.74 0. 0.
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 212 185 0 356 0 0
normalized size 1 1. 1.49 1.3 0. 2.51 0. 0.
time (sec) N/A 0.359 1.856 0.329 0. 1.566 0. 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 121 174 0 340 0 0
normalized size 1 1. 1.26 1.81 0. 3.54 0. 0.
time (sec) N/A 0.325 1.023 0.359 0. 1.423 0. 0.
Problem 165 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 239 239 183 671 0 0 0 0
normalized size 1 1. 0.77 2.81 0. 0. 0. 0.
time (sec) N/A 0.569 2.801 0.342 0. 0. 0. 0.
Problem 166 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 271 271 292 927 0 0 0 0
normalized size 1 1. 1.08 3.42 0. 0. 0. 0.
time (sec) N/A 0.593 3.567 0.281 0. 0. 0. 0.
Problem 167 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 263 263 251 1189 0 0 0 0
normalized size 1 1. 0.95 4.52 0. 0. 0. 0.
time (sec) N/A 0.595 2.595 0.28 0. 0. 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 244 1455 1011 0 0 0
normalized size 1 1. 0.92 5.51 3.83 0. 0. 0.
time (sec) N/A 0.609 2.988 0.282 1.636 0. 0. 0.
Problem 169 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 247 247 238 1019 0 0 0 0
normalized size 1 1. 0.96 4.13 0. 0. 0. 0.
time (sec) N/A 0.599 2.748 0.323 0. 0. 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 434 389 0 489 0 0
normalized size 1 1. 4.52 4.05 0. 5.09 0. 0.
time (sec) N/A 0.272 6.911 0.298 0. 2.414 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 442 393 0 535 0 0
normalized size 1 1. 3.03 2.69 0. 3.66 0. 0.
time (sec) N/A 0.379 6.949 0.331 0. 2.29 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 442 505 0 585 0 0
normalized size 1 1. 2.19 2.5 0. 2.9 0. 0.
time (sec) N/A 0.491 7.149 0.366 0. 2.135 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 436 560 0 613 0 0
normalized size 1 1. 1.77 2.28 0. 2.49 0. 0.
time (sec) N/A 0.591 7.112 0.405 0. 2.199 0. 0.
Problem 174 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 197 197 185 595 0 0 0 0
normalized size 1 1. 0.94 3.02 0. 0. 0. 0.
time (sec) N/A 0.463 1.314 0.378 0. 0. 0. 0.
Problem 175 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 146 146 146 504 0 0 0 0
normalized size 1 1. 1. 3.45 0. 0. 0. 0.
time (sec) N/A 0.365 0.674 0.345 0. 0. 0. 0.
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 119 399 238 0 0 0
normalized size 1 1. 1.24 4.16 2.48 0. 0. 0.
time (sec) N/A 0.322 1.138 0.34 1.566 0. 0. 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 97 165 0 0 0 0
normalized size 1 1. 0.86 1.46 0. 0. 0. 0.
time (sec) N/A 0.364 0.328 0.323 0. 0. 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 191 302 0 869 0 0
normalized size 1 1. 1.85 2.93 0. 8.44 0. 0.
time (sec) N/A 0.252 0.523 0.325 0. 2.048 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 222 465 0 1083 0 0
normalized size 1 1. 1.45 3.04 0. 7.08 0. 0.
time (sec) N/A 0.355 0.618 0.344 0. 2.162 0. 0.
Problem 180 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 271 271 271 938 0 0 0 0
normalized size 1 1. 1. 3.46 0. 0. 0. 0.
time (sec) N/A 0.577 3.512 0.288 0. 0. 0. 0.
Problem 181 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 210 210 212 853 0 0 0 0
normalized size 1 1. 1.01 4.06 0. 0. 0. 0.
time (sec) N/A 0.478 1.586 0.273 0. 0. 0. 0.
Problem 182 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 159 159 190 760 495 0 0 0
normalized size 1 1. 1.19 4.78 3.11 0. 0. 0.
time (sec) N/A 0.386 0.865 0.29 1.595 0. 0. 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 143 408 0 0 0 0
normalized size 1 1. 1.43 4.08 0. 0. 0. 0.
time (sec) N/A 0.346 1.156 0.328 0. 0. 0. 0.
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 186 303 0 868 0 0
normalized size 1 1. 1.81 2.94 0. 8.43 0. 0.
time (sec) N/A 0.256 0.552 0.331 0. 2.333 0. 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 178 132 0 703 0 0
normalized size 1 1. 1.19 0.88 0. 4.69 0. 0.
time (sec) N/A 0.373 0.672 0.269 0. 2.437 0. 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 306 431 0 1060 0 0
normalized size 1 1. 1.41 1.99 0. 4.88 0. 0.
time (sec) N/A 0.479 0.948 0.272 0. 2.624 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 573 1287 0 0 0 0
normalized size 1 1. 1.77 3.98 0. 0. 0. 0.
time (sec) N/A 0.713 7.046 0.3 0. 0. 0. 0.
Problem 188 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 263 263 243 1205 0 0 0 0
normalized size 1 1. 0.92 4.58 0. 0. 0. 0.
time (sec) N/A 0.607 2.556 0.285 0. 0. 0. 0.
Problem 189 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 211 211 199 1106 680 0 0 0
normalized size 1 1. 0.94 5.24 3.22 0. 0. 0.
time (sec) N/A 0.494 1.144 0.269 1.599 0. 0. 0.
Problem 190 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 149 149 179 604 0 0 0 0
normalized size 1 1. 1.2 4.05 0. 0. 0. 0.
time (sec) N/A 0.392 0.975 0.28 0. 0. 0. 0.
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 99 135 0 223 0 0
normalized size 1 1. 1.05 1.44 0. 2.37 0. 0.
time (sec) N/A 0.333 0.505 0.32 0. 1.984 0. 0.
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 214 465 0 1081 0 0
normalized size 1 1. 1.42 3.08 0. 7.16 0. 0.
time (sec) N/A 0.354 0.66 0.336 0. 2.559 0. 0.
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 305 431 0 1058 0 0
normalized size 1 1. 1.47 2.07 0. 5.09 0. 0.
time (sec) N/A 0.48 0.947 0.276 0. 2.535 0. 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 246 151 0 783 0 0
normalized size 1 1. 1. 0.62 0. 3.2 0. 0.
time (sec) N/A 0.57 0.94 0.297 0. 2.596 0. 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 174 174 2903 0 0 0 0 0
normalized size 1 1. 16.68 0. 0. 0. 0. 0.
time (sec) N/A 0.315 14.173 2.369 0. 0. 0. 0.
Problem 196 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 145 145 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.342 180.084 3.02 0. 0. 0. 0.
Problem 197 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 145 145 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.335 180.043 2.553 0. 0. 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 139 462 0 0 0 0 0
normalized size 1 1. 3.32 0. 0. 0. 0. 0.
time (sec) N/A 0.289 4.204 1.549 0. 0. 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 117 117 275 0 0 0 0 0
normalized size 1 1. 2.35 0. 0. 0. 0. 0.
time (sec) N/A 0.082 1.823 1.133 0. 0. 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 123 123 7409 0 0 0 0 0
normalized size 1 1. 60.24 0. 0. 0. 0. 0.
time (sec) N/A 0.303 25.65 0.296 0. 0. 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 8371 0 0 0 0 0
normalized size 1 1. 56.56 0. 0. 0. 0. 0.
time (sec) N/A 0.33 23.328 0.754 0. 0. 0. 0.
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 9702 0 0 0 0 0
normalized size 1 1. 65.55 0. 0. 0. 0. 0.
time (sec) N/A 0.332 25.902 0.931 0. 0. 0. 0.
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 200 0 0 0 0 0
normalized size 1 1. 1.69 0. 0. 0. 0. 0.
time (sec) N/A 0.294 4.868 0.321 0. 0. 0. 0.
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 200 0 0 0 0 0
normalized size 1 1. 1.69 0. 0. 0. 0. 0.
time (sec) N/A 0.288 2.353 0.312 0. 0. 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 667 0 979 1354 0 0
normalized size 1 1. 2.43 0. 3.56 4.92 0. 0.
time (sec) N/A 0.503 6.829 0.327 1.739 2.318 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 192 174 0 672 772 0 0
normalized size 1 1.16 1.05 0. 4.05 4.65 0. 0.
time (sec) N/A 0.354 1.698 0.325 1.699 2.118 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F B A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 116 0 436 417 0 0
normalized size 1 1. 1.12 0. 4.19 4.01 0. 0.
time (sec) N/A 0.282 0.443 0.306 1.619 2.143 0. 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 200 0 0 0 0 0
normalized size 1 1. 1.69 0. 0. 0. 0. 0.
time (sec) N/A 0.282 2.309 0.014 0. 0. 0. 0.
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 134 134 369 0 0 0 0 0
normalized size 1 1. 2.75 0. 0. 0. 0. 0.
time (sec) N/A 0.3 10.185 0.284 0. 0. 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 134 134 5387 0 0 0 0 0
normalized size 1 1. 40.2 0. 0. 0. 0. 0.
time (sec) N/A 0.332 23.804 0.293 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 353 0 0 506 0 0
normalized size 1 1. 1.32 0. 0. 1.9 0. 0.
time (sec) N/A 0.427 12.362 0.56 0. 2.18 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 269 0 0 335 0 0
normalized size 1 1. 1.41 0. 0. 1.75 0. 0.
time (sec) N/A 0.31 10.051 0.558 0. 2.296 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 114 114 211 0 0 213 0 0
normalized size 1 1. 1.85 0. 0. 1.87 0. 0.
time (sec) N/A 0.222 8.502 0.515 0. 2.014 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 675 0 0 0 0 0
normalized size 1 1. 4.14 0. 0. 0. 0. 0.
time (sec) N/A 0.309 11.336 0.475 0. 0. 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 158 158 2552 0 0 0 0 0
normalized size 1 1. 16.15 0. 0. 0. 0. 0.
time (sec) N/A 0.268 16.9 1.58 0. 0. 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 3601 0 0 0 0 0
normalized size 1 1. 21.18 0. 0. 0. 0. 0.
time (sec) N/A 0.329 92.897 0.506 0. 0. 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 173 173 5163 0 0 0 0 0
normalized size 1 1. 29.84 0. 0. 0. 0. 0.
time (sec) N/A 0.336 53.132 0.522 0. 0. 0. 0.
Problem 218 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 34 34 63 0 0 185 0 0
normalized size 1 1. 1.85 0. 0. 5.44 0. 0.
time (sec) N/A 0.274 0.529 2.334 0. 1.981 0. 0.
Problem 219 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 34 34 67 0 0 182 0 0
normalized size 1 1. 1.97 0. 0. 5.35 0. 0.
time (sec) N/A 0.238 1.144 2.428 0. 2.026 0. 0.
Problem 220 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 33 33 66 0 0 184 0 0
normalized size 1 1. 2. 0. 0. 5.58 0. 0.
time (sec) N/A 0.237 1.123 2.378 0. 2.095 0. 0.
Problem 221 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 35 35 61 0 0 184 0 0
normalized size 1 1. 1.74 0. 0. 5.26 0. 0.
time (sec) N/A 0.238 0.545 2.238 0. 2.036 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 0 0 88 0 0
normalized size 1 1. 1. 0. 0. 2.44 0. 0.
time (sec) N/A 0.132 0.464 2.552 0. 2.051 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 0 0 89 0 0
normalized size 1 1. 1. 0. 0. 2.41 0. 0.
time (sec) N/A 0.123 0.464 2.543 0. 2.077 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 87 158 212 269 440 177
normalized size 1 1. 0.62 1.13 1.51 1.92 3.14 1.26
time (sec) N/A 0.186 0.152 0.031 0.992 2.085 15.476 1.14
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 77 136 186 227 359 153
normalized size 1 1. 0.64 1.12 1.54 1.88 2.97 1.26
time (sec) N/A 0.168 0.108 0.032 0.955 1.957 9.339 1.122
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 55 117 151 188 267 104
normalized size 1 1. 0.57 1.22 1.57 1.96 2.78 1.08
time (sec) N/A 0.116 0.482 0.026 1.028 2.176 6.074 1.119
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 54 89 116 155 196 104
normalized size 1 1. 0.66 1.09 1.41 1.89 2.39 1.27
time (sec) N/A 0.106 0.357 0.026 0.96 1.949 2.459 1.124
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 74 99 115 247 0 144
normalized size 1 1. 0.97 1.3 1.51 3.25 0. 1.89
time (sec) N/A 0.104 0.153 0.05 0.969 2.015 0. 1.154
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 77 95 112 297 0 207
normalized size 1 1. 0.97 1.2 1.42 3.76 0. 2.62
time (sec) N/A 0.179 0.186 0.046 0.993 1.951 0. 1.188
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 142 94 122 377 0 185
normalized size 1 1. 1.82 1.21 1.56 4.83 0. 2.37
time (sec) N/A 0.121 0.035 0.058 0.971 2.028 0. 1.223
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 141 103 158 435 0 203
normalized size 1 1. 1.81 1.32 2.03 5.58 0. 2.6
time (sec) N/A 0.131 0.461 0.057 0.989 1.938 0. 1.172
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 210 109 196 431 0 235
normalized size 1 1. 2.44 1.27 2.28 5.01 0. 2.73
time (sec) N/A 0.148 0.069 0.058 0.974 1.984 0. 1.246
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 268 132 236 520 0 235
normalized size 1 1. 2.55 1.26 2.25 4.95 0. 2.24
time (sec) N/A 0.234 0.074 0.06 0.994 2.094 0. 1.207
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 306 155 279 602 0 327
normalized size 1 1. 2.35 1.19 2.15 4.63 0. 2.52
time (sec) N/A 0.197 0.08 0.062 0.991 1.951 0. 1.216
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 254 257 965 656 0 211
normalized size 1 1. 1.97 1.99 7.48 5.09 0. 1.64
time (sec) N/A 0.208 0.927 0.112 1.494 2.073 0. 1.16
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 228 155 733 585 0 153
normalized size 1 1. 2.21 1.5 7.12 5.68 0. 1.49
time (sec) N/A 0.188 0.789 0.102 1.508 1.96 0. 1.148
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 189 131 529 508 0 126
normalized size 1 1. 2.12 1.47 5.94 5.71 0. 1.42
time (sec) N/A 0.173 0.763 0.099 1.485 1.764 0. 1.16
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 107 71 470 386 461 85
normalized size 1 1. 1.3 0.87 5.73 4.71 5.62 1.04
time (sec) N/A 0.138 0.459 0.093 1.008 1.858 34.04 1.166
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 92 86 522 381 571 107
normalized size 1 1. 1.59 1.48 9. 6.57 9.84 1.84
time (sec) N/A 0.114 0.239 0.087 1.016 1.861 14.17 1.129
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 313 130 585 817 0 134
normalized size 1 1. 3.19 1.33 5.97 8.34 0. 1.37
time (sec) N/A 0.164 1.005 0.153 1.013 2.06 0. 1.178
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 167 169 701 1065 0 197
normalized size 1 1. 1.48 1.5 6.2 9.42 0. 1.74
time (sec) N/A 0.398 3.093 0.169 1.022 2.107 0. 1.167
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 245 209 840 1327 0 243
normalized size 1 1. 1.78 1.51 6.09 9.62 0. 1.76
time (sec) N/A 0.225 4.236 0.197 1.024 2.046 0. 1.176
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 153 153 348 249 953 1563 0 288
normalized size 1 1. 2.27 1.63 6.23 10.22 0. 1.88
time (sec) N/A 0.246 6.223 0.208 1.023 2.202 0. 1.175
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 327 327 267 422 548 608 996 424
normalized size 1 1. 0.82 1.29 1.68 1.86 3.05 1.3
time (sec) N/A 0.579 2.028 0.069 1.013 2.229 7.872 1.155
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 185 274 356 402 571 267
normalized size 1 1. 0.87 1.29 1.67 1.89 2.68 1.25
time (sec) N/A 0.36 1.101 0.056 0.986 2.05 3.646 1.133
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 104 147 193 225 277 136
normalized size 1 1. 0.94 1.32 1.74 2.03 2.5 1.23
time (sec) N/A 0.157 0.427 0.047 0.958 1.949 1.351 1.219
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 45 59 77 113 94 65
normalized size 1 1. 0.94 1.23 1.6 2.35 1.96 1.35
time (sec) N/A 0.023 0.098 0.037 0.945 1.889 0.612 1.17
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 196 294 0 680 0 190
normalized size 1 1. 2. 3. 0. 6.94 0. 1.94
time (sec) N/A 0.273 0.65 0.117 0. 1.988 0. 1.216
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 217 434 0 1416 0 275
normalized size 1 1. 1.75 3.5 0. 11.42 0. 2.22
time (sec) N/A 0.325 1.315 0.141 0. 2.258 0. 1.271
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 345 2021 0 2151 0 802
normalized size 1 1. 1.96 11.48 0. 12.22 0. 4.56
time (sec) N/A 0.421 2.632 0.164 0. 2.479 0. 1.297
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 464 464 437 745 977 844 1865 640
normalized size 1 1. 0.94 1.61 2.11 1.82 4.02 1.38
time (sec) N/A 0.952 3.143 0.077 1.022 2.587 11.844 1.265
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 336 336 296 496 645 574 1129 420
normalized size 1 1. 0.88 1.48 1.92 1.71 3.36 1.25
time (sec) N/A 0.703 1.526 0.066 0.992 2.265 5.849 1.304
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 160 278 362 343 571 232
normalized size 1 1. 0.96 1.67 2.18 2.07 3.44 1.4
time (sec) N/A 0.271 0.747 0.051 0.966 2.037 2.224 1.246
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 106 117 154 176 199 119
normalized size 1 1. 1.13 1.24 1.64 1.87 2.12 1.27
time (sec) N/A 0.061 0.32 0.04 0.977 1.959 0.918 1.257
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 177 713 0 1029 0 424
normalized size 1 1. 1.04 4.17 0. 6.02 0. 2.48
time (sec) N/A 0.522 0.629 0.143 0. 2.296 0. 1.269
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 192 848 0 1589 0 672
normalized size 1 1. 0.97 4.28 0. 8.03 0. 3.39
time (sec) N/A 0.581 1.005 0.161 0. 2.565 0. 1.352
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 226 1916 0 3087 0 949
normalized size 1 1. 1.05 8.91 0. 14.36 0. 4.41
time (sec) N/A 0.623 1.389 0.187 0. 2.767 0. 1.403
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 604 604 528 1077 1426 1019 2878 764
normalized size 1 1. 0.87 1.78 2.36 1.69 4.76 1.26
time (sec) N/A 1.486 4.763 0.092 1.082 2.69 22.494 1.348
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 463 463 355 725 950 713 1804 513
normalized size 1 1. 0.77 1.57 2.05 1.54 3.9 1.11
time (sec) N/A 1.128 2.399 0.075 1.026 2.486 11.335 1.326
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 156 414 537 437 960 293
normalized size 1 1. 0.78 2.06 2.67 2.17 4.78 1.46
time (sec) N/A 0.335 1.064 0.059 0.998 2.185 5.693 1.244
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 117 120 178 231 231 371 157
normalized size 1 0.92 0.94 1.4 1.82 1.82 2.92 1.24
time (sec) N/A 0.101 0.486 0.046 0.966 1.944 1.963 1.29
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 233 1357 0 1393 0 833
normalized size 1 1. 0.95 5.52 0. 5.66 0. 3.39
time (sec) N/A 0.895 0.964 0.165 0. 2.563 0. 1.289
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 244 1534 0 2242 0 794
normalized size 1 1. 0.86 5.42 0. 7.92 0. 2.81
time (sec) N/A 0.941 1.487 0.189 0. 2.868 0. 1.315
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 305 830 2906 0 3568 0 1331
normalized size 1 1. 2.72 9.53 0. 11.7 0. 4.36
time (sec) N/A 0.934 3.182 0.217 0. 3.725 0. 1.345
Problem 265 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 220 220 788 1110 1517 1062 0 647
normalized size 1 1. 3.58 5.05 6.9 4.83 0. 2.94
time (sec) N/A 0.361 1.309 0.102 1.574 2.457 0. 1.32
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 141 200 524 818 684 5583 300
normalized size 1 0.99 1.4 3.66 5.72 4.78 39.04 2.1
time (sec) N/A 0.206 0.46 0.085 1.493 2.302 12.106 1.273
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 126 179 346 354 1244 216
normalized size 1 1. 1.88 2.67 5.16 5.28 18.57 3.22
time (sec) N/A 0.203 0.468 0.065 1.471 1.974 5.036 1.232
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 79 65 105 166 109 54
normalized size 1 1. 2.26 1.86 3. 4.74 3.11 1.54
time (sec) N/A 0.049 0.155 0.042 1.438 1.837 2.036 1.223
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 148 176 0 1297 0 153
normalized size 1 1. 1.47 1.74 0. 12.84 0. 1.51
time (sec) N/A 0.17 0.325 0.114 0. 2.011 0. 1.246
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 209 615 0 3247 0 983
normalized size 1 1. 1.15 3.4 0. 17.94 0. 5.43
time (sec) N/A 0.349 1.236 0.141 0. 2.456 0. 1.307
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 313 2482 0 7112 0 1017
normalized size 1 1. 1.11 8.77 0. 25.13 0. 3.59
time (sec) N/A 0.55 1.386 0.165 0. 3.196 0. 1.336
Problem 272 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 228 228 547 946 1866 1334 0 667
normalized size 1 1. 2.4 4.15 8.18 5.85 0. 2.93
time (sec) N/A 0.523 3.516 0.105 1.581 2.207 0. 1.322
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 338 489 1122 863 5358 374
normalized size 1 1. 2.56 3.7 8.5 6.54 40.59 2.83
time (sec) N/A 0.51 1.635 0.092 1.519 2.159 23.3 1.237
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 180 252 613 491 986 190
normalized size 1 1. 2.12 2.96 7.21 5.78 11.6 2.24
time (sec) N/A 0.211 0.341 0.077 1.463 1.887 10.634 1.27
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 43 70 289 288 309 92
normalized size 1 1. 0.66 1.08 4.45 4.43 4.75 1.42
time (sec) N/A 0.052 0.052 0.056 0.978 1.824 4.63 1.235
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 229 327 0 2755 0 350
normalized size 1 1. 1.51 2.15 0. 18.12 0. 2.3
time (sec) N/A 0.419 0.638 0.131 0. 2.428 0. 1.266
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 313 770 0 6543 0 574
normalized size 1 1. 1.14 2.8 0. 23.79 0. 2.09
time (sec) N/A 0.672 2.885 0.16 0. 3.029 0. 1.298
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 386 386 1522 2641 0 10961 0 1274
normalized size 1 1. 3.94 6.84 0. 28.4 0. 3.3
time (sec) N/A 0.961 6.357 0.172 0. 4.146 0. 1.398
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 366 936 2271 1511 0 805
normalized size 1 1. 1.63 4.16 10.09 6.72 0. 3.58
time (sec) N/A 0.809 6.057 0.106 1.644 2.315 0. 1.315
Problem 280 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 164 164 514 617 1528 1002 0 516
normalized size 1 1. 3.13 3.76 9.32 6.11 0. 3.15
time (sec) N/A 0.461 0.897 0.098 1.597 2.181 0. 1.218
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 176 151 990 641 1819 301
normalized size 1 1. 1.39 1.19 7.8 5.05 14.32 2.37
time (sec) N/A 0.227 0.672 0.085 1.04 1.823 23.643 1.201
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 63 114 522 466 899 176
normalized size 1 1. 0.62 1.12 5.12 4.57 8.81 1.73
time (sec) N/A 0.075 0.078 0.064 1.014 1.771 11.353 1.292
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 229 502 606 0 4929 0 780
normalized size 1 1. 2.19 2.65 0. 21.52 0. 3.41
time (sec) N/A 0.724 1.243 0.138 0. 2.633 0. 1.289
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 381 381 1253 1049 0 9643 0 1042
normalized size 1 1. 3.29 2.75 0. 25.31 0. 2.73
time (sec) N/A 1.081 6.375 0.162 0. 4.056 0. 1.342
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 508 508 548 2918 0 16342 0 1717
normalized size 1 1. 1.08 5.74 0. 32.17 0. 3.38
time (sec) N/A 1.447 4.571 0.193 0. 5.118 0. 1.557
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 305 242 0 1156 0 0
normalized size 1 1. 1.19 0.95 0. 4.52 0. 0.
time (sec) N/A 0.46 1.273 1.207 0. 2.167 0. 0.
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 176 161 0 761 0 0
normalized size 1 1. 0.92 0.84 0. 3.96 0. 0.
time (sec) N/A 0.339 0.746 1.049 0. 2.007 0. 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 117 102 0 436 0 0
normalized size 1 1. 0.99 0.86 0. 3.69 0. 0.
time (sec) N/A 0.249 0.365 0.954 0. 1.999 0. 0.
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 82 58 0 225 0 0
normalized size 1 1. 1.32 0.94 0. 3.63 0. 0.
time (sec) N/A 0.058 0.125 0.926 0. 1.886 0. 0.
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 903 139 0 1539 0 0
normalized size 1 1. 9.03 1.39 0. 15.39 0. 0.
time (sec) N/A 0.246 8.785 1.545 0. 9.332 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 901 274 0 2354 0 0
normalized size 1 1. 7.15 2.17 0. 18.68 0. 0.
time (sec) N/A 0.262 8.72 1.881 0. 10.529 0. 0.
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 967 628 0 3954 0 0
normalized size 1 1. 5.04 3.27 0. 20.59 0. 0.
time (sec) N/A 0.37 10.064 2.075 0. 16.44 0. 0.
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 374 374 390 312 0 1667 0 0
normalized size 1 1. 1.04 0.83 0. 4.46 0. 0.
time (sec) N/A 0.92 4.593 1.015 0. 1.989 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 267 207 0 1094 0 0
normalized size 1 1. 0.91 0.7 0. 3.72 0. 0.
time (sec) N/A 0.712 2.248 1.083 0. 1.848 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 144 150 0 660 0 0
normalized size 1 1. 0.87 0.91 0. 4. 0. 0.
time (sec) N/A 0.316 1.076 0.996 0. 1.782 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 101 77 0 347 0 0
normalized size 1 1. 1. 0.76 0. 3.44 0. 0.
time (sec) N/A 0.087 0.402 1.089 0. 1.657 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 356 291 0 2086 0 0
normalized size 1 1. 2.33 1.9 0. 13.63 0. 0.
time (sec) N/A 0.503 3.431 1.621 0. 9.733 0. 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 381 592 0 3245 0 0
normalized size 1 1. 1.99 3.1 0. 16.99 0. 0.
time (sec) N/A 0.552 4.89 1.839 0. 11.553 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 416 895 0 5040 0 0
normalized size 1 1. 1.88 4.05 0. 22.81 0. 0.
time (sec) N/A 0.61 5.161 2.233 0. 19.132 0. 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 534 534 1565 374 0 2237 0 0
normalized size 1 1. 2.93 0.7 0. 4.19 0. 0.
time (sec) N/A 1.203 6.897 1.157 0. 2.23 0. 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 429 429 891 257 0 1500 0 0
normalized size 1 1. 2.08 0.6 0. 3.5 0. 0.
time (sec) N/A 1.066 6.617 0.928 0. 1.965 0. 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 212 202 152 0 900 0 0
normalized size 1 1. 0.95 0.72 0. 4.25 0. 0.
time (sec) N/A 0.368 4.205 1.167 0. 1.769 0. 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 119 99 0 483 0 0
normalized size 1 1. 0.86 0.72 0. 3.5 0. 0.
time (sec) N/A 0.112 1.523 0.897 0. 1.618 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 218 218 450 543 0 2961 0 0
normalized size 1 1. 2.06 2.49 0. 13.58 0. 0.
time (sec) N/A 0.885 5.869 1.764 0. 17.634 0. 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 265 265 460 933 0 4475 0 0
normalized size 1 1. 1.74 3.52 0. 16.89 0. 0.
time (sec) N/A 0.938 5.893 2.13 0. 19.136 0. 0.
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 308 308 504 1587 0 6692 0 0
normalized size 1 1. 1.64 5.15 0. 21.73 0. 0.
time (sec) N/A 0.972 8.12 2.445 0. 21.893 0. 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 284 284 375 610 0 1543 0 2520
normalized size 1 1. 1.32 2.15 0. 5.43 0. 8.87
time (sec) N/A 1.001 0.876 1.624 0. 1.977 0. 2.126
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 246 396 0 1119 0 1494
normalized size 1 1. 1.23 1.98 0. 5.6 0. 7.47
time (sec) N/A 0.585 0.528 1.362 0. 1.832 0. 1.812
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 135 232 0 782 0 720
normalized size 1 1. 1.04 1.78 0. 6.02 0. 5.54
time (sec) N/A 0.27 0.466 1.293 0. 1.839 0. 1.589
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 106 128 0 572 0 297
normalized size 1 1. 1.34 1.62 0. 7.24 0. 3.76
time (sec) N/A 0.07 0.22 1.024 0. 1.946 0. 1.478
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 238 199 0 1831 0 0
normalized size 1 1. 1.75 1.46 0. 13.46 0. 0.
time (sec) N/A 0.283 3.052 1.713 0. 10.033 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 374 899 0 4890 0 0
normalized size 1 1. 1.81 4.34 0. 23.62 0. 0.
time (sec) N/A 0.617 6.791 2.365 0. 29.207 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 309 309 847 2275 0 9234 0 0
normalized size 1 1. 2.74 7.36 0. 29.88 0. 0.
time (sec) N/A 1.054 10.686 3.1 0. 59.847 0. 0.
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 684 1030 0 1901 0 0
normalized size 1 1. 2.42 3.64 0. 6.72 0. 0.
time (sec) N/A 1. 1.06 1.46 0. 2.032 0. 0.
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 357 694 0 1422 0 0
normalized size 1 1. 1.76 3.42 0. 7. 0. 0.
time (sec) N/A 0.575 0.735 1.345 0. 1.871 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 246 389 0 1023 0 1077
normalized size 1 1. 1.85 2.92 0. 7.69 0. 8.1
time (sec) N/A 0.279 0.436 0.986 0. 1.805 0. 2.51
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 150 176 0 755 0 599
normalized size 1 1. 1.72 2.02 0. 8.68 0. 6.89
time (sec) N/A 0.078 0.194 1.084 0. 1.727 0. 1.91
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 419 624 0 3671 0 0
normalized size 1 1. 2.24 3.34 0. 19.63 0. 0.
time (sec) N/A 0.59 3.001 1.467 0. 25.483 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 542 2049 0 7567 0 0
normalized size 1 1. 1.86 7.02 0. 25.91 0. 0.
time (sec) N/A 1.018 9.072 2.48 0. 24.681 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 402 402 1395 4707 0 13168 0 0
normalized size 1 1. 3.47 11.71 0. 32.76 0. 0.
time (sec) N/A 1.562 13.243 3.293 0. 46.456 0. 0.
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 523 1438 0 2394 0 0
normalized size 1 1. 1.7 4.67 0. 7.77 0. 0.
time (sec) N/A 1.059 1.787 2.148 0. 2.399 0. 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 544 982 0 1817 0 0
normalized size 1 1. 2.48 4.48 0. 8.3 0. 0.
time (sec) N/A 0.579 1.133 1.888 0. 2.337 0. 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 267 449 0 1343 0 0
normalized size 1 1. 1.77 2.97 0. 8.89 0. 0.
time (sec) N/A 0.287 0.767 1.544 0. 2.083 0. 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 227 279 0 1015 0 0
normalized size 1 1. 1.8 2.21 0. 8.06 0. 0.
time (sec) N/A 0.107 0.366 1.338 0. 2.115 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 550 1418 0 5966 0 0
normalized size 1 1. 2.11 5.43 0. 22.86 0. 0.
time (sec) N/A 0.984 5.342 2.361 0. 52.802 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 395 395 1318 4092 0 11614 0 0
normalized size 1 1. 3.34 10.36 0. 29.4 0. 0.
time (sec) N/A 1.536 12.285 3.569 0. 98.914 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 519 519 2103 7322 0 19733 0 0
normalized size 1 1. 4.05 14.11 0. 38.02 0. 0.
time (sec) N/A 2.152 13.883 5.305 0. 61.256 0. 0.
Problem 328 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 221 221 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.338 25.496 0.584 0. 0. 0. 0.
Problem 329 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 217 217 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.3 9.054 0.48 0. 0. 0. 0.
Problem 330 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 221 221 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.304 4.924 0.299 0. 0. 0. 0.
Problem 331 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 223 223 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.341 8.675 0.714 0. 0. 0. 0.
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 427 427 245 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 0.915 26.581 0.431 0. 0. 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 167 167 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.265 8.216 0.451 0. 0. 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 220 220 244 0 0 0 0 0
normalized size 1 1. 1.11 0. 0. 0. 0. 0.
time (sec) N/A 0.403 5.483 0.346 0. 0. 0. 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 269 269 603 0 0 0 0 0
normalized size 1 1. 2.24 0. 0. 0. 0. 0.
time (sec) N/A 0.47 10.18 0.345 0. 0. 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 351 351 300 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.987 7.649 2.762 0. 0. 0. 0.
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 198 212 0 0 0 0 0
normalized size 1 0.99 1.07 0. 0. 0. 0. 0.
time (sec) N/A 0.362 3.405 2.088 0. 0. 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 117 117 275 0 0 0 0 0
normalized size 1 1. 2.35 0. 0. 0. 0. 0.
time (sec) N/A 0.081 1.769 0.014 0. 0. 0. 0.
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 473 0 0 0 0 0
normalized size 1 1. 2.48 0. 0. 0. 0. 0.
time (sec) N/A 0.292 7.036 1.326 0. 0. 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 293 293 654 0 0 0 0 0
normalized size 1 1. 2.23 0. 0. 0. 0. 0.
time (sec) N/A 0.618 5.671 1.797 0. 0. 0. 0.
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 467 467 654 0 0 0 0 0
normalized size 1 1. 1.4 0. 0. 0. 0. 0.
time (sec) N/A 1.347 6.127 2.198 0. 0. 0. 0.
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 284 284 3281 0 0 0 0 0
normalized size 1 1. 11.55 0. 0. 0. 0. 0.
time (sec) N/A 0.628 8.098 0.355 0. 0. 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 274 274 672 0 0 0 0 0
normalized size 1 1. 2.45 0. 0. 0. 0. 0.
time (sec) N/A 0.555 12.064 0.346 0. 0. 0. 0.
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 274 274 672 0 0 0 0 0
normalized size 1 1. 2.45 0. 0. 0. 0. 0.
time (sec) N/A 0.544 6.316 0.343 0. 0. 0. 0.
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 288 288 672 0 0 0 0 0
normalized size 1 1. 2.33 0. 0. 0. 0. 0.
time (sec) N/A 0.545 6.385 0.348 0. 0. 0. 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 682 0 0 0 0 0
normalized size 1 1. 2.53 0. 0. 0. 0. 0.
time (sec) N/A 0.43 6.224 0.451 0. 0. 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 277 277 573 0 0 0 0 0
normalized size 1 1. 2.07 0. 0. 0. 0. 0.
time (sec) N/A 0.483 6.897 0.44 0. 0. 0. 0.
Problem 348 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 132 132 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.2 9.61 0.434 0. 0. 0. 0.
Problem 349 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 139 139 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.23 4.762 0.45 0. 0. 0. 0.
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 0 0 140 0 0
normalized size 1 1. 1. 0. 0. 3.59 0. 0.
time (sec) N/A 0.172 0.665 0.589 0. 1.991 0. 0.
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 0 0 142 0 0
normalized size 1 1. 1. 0. 0. 3.55 0. 0.
time (sec) N/A 0.172 0.71 0.566 0. 1.829 0. 0.
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 188 1246 0 2761 0 1048
normalized size 1 1. 0.94 6.26 0. 13.87 0. 5.27
time (sec) N/A 0.58 1.574 0.156 0. 2.235 0. 1.266
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 840 840 2012 6776582 0 0 0 0
normalized size 1 1. 2.4 8067.36 0. 0. 0. 0.
time (sec) N/A 3.156 6.744 87.435 0. 0. 0. 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 630 630 1871 3151745 0 0 0 0
normalized size 1 1. 2.97 5002.77 0. 0. 0. 0.
time (sec) N/A 0.886 10.279 148.394 0. 0. 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 417 417 1919 99082 0 0 0 0
normalized size 1 1. 4.6 237.61 0. 0. 0. 0.
time (sec) N/A 0.537 6.537 1.39 0. 0. 0. 0.
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 544 544 2236 198381 0 0 0 0
normalized size 1 1. 4.11 364.67 0. 0. 0. 0.
time (sec) N/A 1.377 7.279 2.608 0. 0. 0. 0.
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 858 858 2807 827030 0 0 0 0
normalized size 1 1. 3.27 963.9 0. 0. 0. 0.
time (sec) N/A 2.616 8.652 14.667 0. 0. 0. 0.
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.093 17.361 0.46 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 [11] had the largest ratio of [ 0.2857 ]

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 7 5 1. 33 0.152
2 A 6 5 1. 33 0.152
3 A 5 4 1. 31 0.129
4 A 4 3 1. 33 0.091
5 A 5 3 1. 33 0.091
6 A 6 3 1. 33 0.091
7 A 6 5 1. 35 0.143
8 A 5 5 1. 35 0.143
9 A 4 4 1. 35 0.114
10 A 9 9 1. 35 0.257
11 A 10 10 1. 35 0.286
12 A 9 5 1. 33 0.152
13 A 4 3 1. 34 0.088
14 A 1 1 1. 43 0.023
15 A 1 1 1. 37 0.027
16 A 6 6 1. 31 0.194
17 A 7 6 1. 34 0.176
18 A 6 6 1. 34 0.176
19 A 5 5 1.08 34 0.147
20 A 4 4 1. 32 0.125
21 A 4 3 1. 34 0.088
22 A 4 4 1. 34 0.118
23 A 4 4 1. 34 0.118
24 A 5 5 1. 34 0.147
25 A 6 5 1. 34 0.147
26 A 8 6 1. 36 0.167
27 A 7 6 1. 36 0.167
28 A 6 5 1. 36 0.139
29 A 5 4 1. 36 0.111
30 A 5 5 1. 34 0.147
31 A 5 5 1. 36 0.139
32 A 5 5 1. 36 0.139
33 A 5 4 1. 36 0.111
34 A 3 3 1. 36 0.083
35 A 4 4 1. 36 0.111
36 A 5 4 1. 36 0.111
37 A 6 4 1. 36 0.111
38 A 9 6 1. 36 0.167
39 A 8 6 1. 36 0.167
40 A 7 5 1. 36 0.139
41 A 6 4 1. 36 0.111
42 A 6 5 1. 36 0.139
43 A 6 6 1. 34 0.176
44 A 6 6 1. 36 0.167
45 A 6 6 1. 36 0.167
46 A 6 5 1. 36 0.139
47 A 6 4 1. 36 0.111
48 A 3 3 1. 36 0.083
49 A 4 4 1. 36 0.111
50 A 5 4 1. 36 0.111
51 A 6 4 1. 36 0.111
52 A 7 7 1. 36 0.194
53 A 6 6 1. 36 0.167
54 A 5 5 1. 36 0.139
55 A 4 3 1. 34 0.088
56 A 4 4 1. 36 0.111
57 A 4 4 1. 36 0.111
58 A 5 5 1. 36 0.139
59 A 6 5 1. 36 0.139
60 A 8 7 1. 36 0.194
61 A 7 6 1. 36 0.167
62 A 6 6 1. 36 0.167
63 A 5 5 1. 36 0.139
64 A 4 4 1. 34 0.118
65 A 4 4 1. 36 0.111
66 A 4 3 1. 36 0.083
67 A 4 3 1. 36 0.083
68 A 5 4 1. 36 0.111
69 A 6 4 1. 36 0.111
70 A 8 6 1. 36 0.167
71 A 7 6 1. 36 0.167
72 A 6 5 1. 36 0.139
73 A 5 4 1. 36 0.111
74 A 4 4 1. 34 0.118
75 A 5 5 1. 36 0.139
76 A 4 3 1. 36 0.083
77 A 4 3 1. 36 0.083
78 A 4 3 1. 36 0.083
79 A 5 4 1. 36 0.111
80 A 6 4 1. 36 0.111
81 A 6 4 1. 36 0.111
82 A 5 4 1. 36 0.111
83 A 4 4 1. 36 0.111
84 A 3 3 1. 36 0.083
85 A 5 5 1. 36 0.139
86 A 5 5 1. 36 0.139
87 A 5 5 1. 36 0.139
88 A 6 6 1. 36 0.167
89 A 6 4 1. 38 0.105
90 A 5 4 1. 38 0.105
91 A 4 4 1. 38 0.105
92 A 3 3 1. 38 0.079
93 A 6 5 1. 38 0.132
94 A 6 5 1. 38 0.132
95 A 6 6 1. 38 0.158
96 A 6 5 1. 38 0.132
97 A 7 6 1. 38 0.158
98 A 6 4 1. 38 0.105
99 A 5 4 1. 38 0.105
100 A 4 4 1. 38 0.105
101 A 3 3 1. 38 0.079
102 A 7 5 1. 38 0.132
103 A 7 5 1. 38 0.132
104 A 7 6 1. 38 0.158
105 A 7 6 1. 38 0.158
106 A 7 5 1. 38 0.132
107 A 8 6 1. 38 0.158
108 A 6 4 1. 38 0.105
109 A 5 4 1. 38 0.105
110 A 4 4 1. 38 0.105
111 A 3 3 1. 38 0.079
112 A 4 4 1. 38 0.105
113 A 5 5 1. 38 0.132
114 A 6 6 1. 38 0.158
115 A 7 4 1. 38 0.105
116 A 6 4 1. 38 0.105
117 A 5 4 1. 38 0.105
118 A 4 4 1. 38 0.105
119 A 3 3 1. 38 0.079
120 A 5 5 1. 38 0.132
121 A 6 6 1. 38 0.158
122 A 7 7 1. 38 0.184
123 A 7 4 1. 38 0.105
124 A 6 4 1. 38 0.105
125 A 5 4 1. 38 0.105
126 A 4 4 1. 38 0.105
127 A 3 3 1. 38 0.079
128 A 6 5 1. 38 0.132
129 A 7 7 1. 38 0.184
130 A 8 7 1. 38 0.184
131 A 3 2 1. 40 0.05
132 A 3 2 1. 40 0.05
133 A 3 2 1. 40 0.05
134 A 3 2 1. 40 0.05
135 A 5 5 1. 40 0.125
136 A 5 5 1. 40 0.125
137 A 3 2 1. 40 0.05
138 A 3 2 1. 40 0.05
139 A 3 3 1. 40 0.075
140 A 3 3 1. 40 0.075
141 A 3 3 1. 40 0.075
142 A 3 2 1. 40 0.05
143 A 5 5 1. 40 0.125
144 A 5 5 1. 40 0.125
145 A 5 5 1. 40 0.125
146 A 2 2 1. 40 0.05
147 A 3 3 1. 40 0.075
148 A 3 3 1. 40 0.075
149 A 4 3 1. 40 0.075
150 A 4 3 1. 40 0.075
151 A 3 3 1. 40 0.075
152 A 3 2 1. 40 0.05
153 A 6 5 1. 40 0.125
154 A 6 5 1. 40 0.125
155 A 6 6 1. 40 0.15
156 A 6 5 1. 40 0.125
157 A 2 2 1. 40 0.05
158 A 3 3 1. 40 0.075
159 A 4 3 1. 40 0.075
160 A 5 3 1. 40 0.075
161 A 5 3 1. 40 0.075
162 A 4 3 1. 40 0.075
163 A 3 3 1. 40 0.075
164 A 3 2 1. 40 0.05
165 A 7 5 1. 40 0.125
166 A 7 5 1. 40 0.125
167 A 7 6 1. 40 0.15
168 A 7 6 1. 40 0.15
169 A 7 5 1. 40 0.125
170 A 2 2 1. 40 0.05
171 A 3 3 1. 40 0.075
172 A 4 3 1. 40 0.075
173 A 5 3 1. 40 0.075
174 A 6 5 1. 40 0.125
175 A 5 5 1. 40 0.125
176 A 5 5 1. 40 0.125
177 A 7 4 1. 40 0.1
178 A 3 3 1. 40 0.075
179 A 4 4 1. 40 0.1
180 A 7 5 1. 40 0.125
181 A 6 5 1. 40 0.125
182 A 5 5 1. 40 0.125
183 A 5 5 1. 40 0.125
184 A 3 3 1. 40 0.075
185 A 4 4 1. 40 0.1
186 A 5 4 1. 40 0.1
187 A 8 6 1. 40 0.15
188 A 7 6 1. 40 0.15
189 A 6 6 1. 40 0.15
190 A 5 5 1. 40 0.125
191 A 3 2 1. 40 0.05
192 A 4 4 1. 40 0.1
193 A 5 4 1. 40 0.1
194 A 6 4 1. 40 0.1
195 A 5 5 1. 36 0.139
196 A 5 5 1. 36 0.139
197 A 5 5 1. 36 0.139
198 A 5 5 1. 34 0.147
199 A 3 3 1. 23 0.13
200 A 5 5 1. 36 0.139
201 A 5 5 1. 36 0.139
202 A 5 5 1. 36 0.139
203 A 4 4 1. 38 0.105
204 A 4 4 1. 38 0.105
205 A 4 3 1. 38 0.079
206 A 3 3 1.16 38 0.079
207 A 3 2 1. 38 0.053
208 A 4 4 1. 38 0.105
209 A 4 4 1. 38 0.105
210 A 4 4 1. 38 0.105
211 A 4 3 1. 40 0.075
212 A 3 3 1. 40 0.075
213 A 2 2 1. 40 0.05
214 A 5 5 1. 40 0.125
215 A 5 5 1. 38 0.132
216 A 5 5 1. 40 0.125
217 A 5 5 1. 40 0.125
218 A 2 2 1. 46 0.043
219 A 2 2 1. 45 0.044
220 A 2 2 1. 44 0.045
221 A 2 2 1. 43 0.047
222 A 1 1 1. 47 0.021
223 A 1 1 1. 46 0.022
224 A 13 4 1. 32 0.125
225 A 12 4 1. 32 0.125
226 A 10 5 1. 30 0.167
227 A 5 5 1. 24 0.208
228 A 7 5 1. 30 0.167
229 A 9 7 1. 32 0.219
230 A 7 6 1. 32 0.188
231 A 7 4 1. 32 0.125
232 A 10 5 1. 32 0.156
233 A 12 6 1. 32 0.188
234 A 12 4 1. 32 0.125
235 A 11 6 1. 32 0.188
236 A 9 4 1. 32 0.125
237 A 8 3 1. 32 0.094
238 A 8 3 1. 30 0.1
239 A 3 3 1. 24 0.125
240 A 9 4 1. 30 0.133
241 A 15 9 1. 32 0.281
242 A 13 7 1. 32 0.219
243 A 15 7 1. 32 0.219
244 A 5 4 1. 33 0.121
245 A 4 4 1. 33 0.121
246 A 3 3 1. 31 0.097
247 A 1 1 1. 21 0.048
248 A 6 6 1. 33 0.182
249 A 6 6 1. 33 0.182
250 A 7 7 1. 33 0.212
251 A 6 5 1. 35 0.143
252 A 5 5 1. 35 0.143
253 A 4 4 1. 33 0.121
254 A 2 2 1. 23 0.087
255 A 7 7 1. 35 0.2
256 A 7 7 1. 35 0.2
257 A 7 7 1. 35 0.2
258 A 7 5 1. 35 0.143
259 A 6 5 1. 35 0.143
260 A 10 8 1. 33 0.242
261 A 8 6 0.92 23 0.261
262 A 8 7 1. 35 0.2
263 A 8 8 1. 35 0.229
264 A 8 7 1. 35 0.2
265 A 3 3 1. 35 0.086
266 A 2 2 0.99 35 0.057
267 A 4 4 1. 33 0.121
268 A 2 2 1. 23 0.087
269 A 5 5 1. 35 0.143
270 A 6 6 1. 35 0.171
271 A 7 6 1. 35 0.171
272 A 3 2 1. 35 0.057
273 A 5 5 1. 35 0.143
274 A 4 4 1. 33 0.121
275 A 2 2 1. 23 0.087
276 A 6 5 1. 35 0.143
277 A 7 6 1. 35 0.171
278 A 8 6 1. 35 0.171
279 A 6 5 1. 35 0.143
280 A 5 5 1. 35 0.143
281 A 4 4 1. 33 0.121
282 A 3 3 1. 23 0.13
283 A 7 5 1. 35 0.143
284 A 8 6 1. 35 0.171
285 A 9 6 1. 35 0.171
286 A 5 5 1. 37 0.135
287 A 4 4 1. 37 0.108
288 A 4 4 1. 35 0.114
289 A 2 2 1. 25 0.08
290 A 3 3 1. 37 0.081
291 A 3 3 1. 37 0.081
292 A 4 4 1. 37 0.108
293 A 6 6 1. 37 0.162
294 A 5 5 1. 37 0.135
295 A 5 5 1. 35 0.143
296 A 3 3 1. 25 0.12
297 A 4 4 1. 37 0.108
298 A 4 4 1. 37 0.108
299 A 4 4 1. 37 0.108
300 A 7 6 1. 37 0.162
301 A 6 5 1. 37 0.135
302 A 6 5 1. 35 0.143
303 A 4 3 1. 25 0.12
304 A 5 4 1. 37 0.108
305 A 5 5 1. 37 0.135
306 A 5 4 1. 37 0.108
307 A 7 6 1. 37 0.162
308 A 6 6 1. 37 0.162
309 A 5 5 1. 35 0.143
310 A 3 3 1. 25 0.12
311 A 5 5 1. 37 0.135
312 A 6 6 1. 37 0.162
313 A 7 6 1. 37 0.162
314 A 7 7 1. 37 0.189
315 A 6 6 1. 37 0.162
316 A 5 5 1. 35 0.143
317 A 3 3 1. 25 0.12
318 A 6 6 1. 37 0.162
319 A 7 7 1. 37 0.189
320 A 8 7 1. 37 0.189
321 A 7 6 1. 37 0.162
322 A 6 6 1. 37 0.162
323 A 5 5 1. 35 0.143
324 A 4 4 1. 25 0.16
325 A 7 6 1. 37 0.162
326 A 8 7 1. 37 0.189
327 A 9 7 1. 37 0.189
328 A 7 4 1. 35 0.114
329 A 8 6 1. 33 0.182
330 A 7 5 1. 35 0.143
331 A 7 4 1. 35 0.114
332 A 11 7 1. 37 0.189
333 A 4 4 1. 37 0.108
334 A 7 7 1. 37 0.189
335 A 7 4 1. 37 0.108
336 A 6 6 1. 35 0.171
337 A 5 5 0.99 33 0.152
338 A 3 3 1. 23 0.13
339 A 6 6 1. 35 0.171
340 A 7 7 1. 35 0.2
341 A 8 7 1. 35 0.2
342 A 9 5 1. 37 0.135
343 A 9 5 1. 37 0.135
344 A 9 5 1. 37 0.135
345 A 9 5 1. 37 0.135
346 A 9 5 1. 35 0.143
347 A 7 6 1. 39 0.154
348 A 4 4 1. 36 0.111
349 A 4 4 1. 40 0.1
350 A 1 1 1. 55 0.018
351 A 1 1 1. 51 0.02
352 A 6 6 1. 35 0.171
353 A 7 7 1. 39 0.18
354 A 5 5 1. 39 0.128
355 A 3 3 1. 39 0.077
356 A 4 4 1. 39 0.103
357 A 5 5 1. 39 0.128
358 A 0 0 0. 0 0.

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