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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, 359, 360, 361 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 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, 292, 293, 294, 295, 297, 298, 299, 300, 301, 302, 303, 304, 306, 307, 308, 309, 311, 313, 314, 315, 316, 317, 318, 320, 321, 322, 324, 325, 326, 328, 330, 331, 332, 333, 334, 335, 337, 338, 339, 341, 342, 343, 345, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360 }

B grade: { 47, 57, 71, 78, 84, 291, 296, 305, 310, 312, 319, 323, 327, 329, 336, 340, 344, 346 }

C grade: { 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 361 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 13, 14, 15, 28, 30, 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, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 88, 89, 90, 91, 92, 97, 98, 99, 100, 101, 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, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 152, 153, 154, 155, 156, 157, 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, 195, 196, 197, 198, 202, 203, 204, 205, 206, 209, 210, 211, 212, 213, 214, 217, 219, 220, 221, 222, 228, 229, 230, 231, 237, 238, 239, 240, 243, 244, 245, 246, 247, 248, 251, 252, 253, 254, 255, 256, 259, 261, 262, 263, 264, 270, 275, 276, 277, 278, 279, 280, 281, 287, 292, 297, 301, 306, 311, 316, 320, 324, 328, 333, 337, 341, 345, 346, 347, 348, 352, 357 }

B grade: { 9, 10, 11, 12, 29, 31, 32, 71, 78, 84, 86, 87, 94, 95, 96, 103, 104, 105, 134, 149, 150, 151, 158, 159, 191, 192, 193, 194, 199, 200, 201, 207, 208, 215, 216, 218, 223, 224, 225, 226, 227, 232, 233, 234, 235, 236, 241, 242, 249, 250, 257, 258, 260, 266, 267, 268, 269, 286, 291, 296, 300, 305, 310, 315, 319, 323, 327, 332, 336, 340, 344, 349, 350, 351, 353, 354 }

C grade: { 274, 282, 283, 284, 285, 288, 289, 290, 293, 294, 295, 298, 299, 302, 303, 304, 307, 308, 309, 312, 313, 314, 317, 318, 321, 322, 325, 326, 329, 330, 331, 334, 335, 338, 339, 342, 343, 355, 356, 358, 359, 360, 361 }

F grade: { 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 85, 93, 102, 265, 271, 272, 273 }

2.1.4 Maxima

A grade: { 5, 6, 7, 8, 9, 10, 11, 28, 29, 30, 34, 35, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 120, 121, 122, 123, 124, 129, 130, 131, 132, 133, 140, 141, 142, 143, 144, 149, 150, 151, 152, 153, 158, 159, 160, 161, 162, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 219, 220, 221, 222, 228, 229, 230, 231, 237, 238, 239, 240, 245, 246, 247, 248, 254, 255, 256, 262, 263, 264, 266, 267, 268, 269, 270, 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, 316, 320, 324, 328, 333, 337, 341, 345, 348, 350, 351, 352, 353, 354, 356, 357, 358, 359

B grade: { 12, 48, 58, 71, 72, 78, 84, 315, 319, 321, 322, 323, 325, 326, 327, 332, 336, 338, 339, 340, 342, 343, 344, 346, 347, 349, 355, 360 }

C grade: { }

F grade: { 1, 2, 3, 4, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 31, 32, 33, 36, 44, 54, 65, 85, 93, 102, 116, 117, 118, 119, 125, 126, 127, 128, 134, 135, 136, 137, 138, 139, 145, 146, 147, 148, 154, 155, 156, 157, 163, 164, 165, 166, 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, 223, 224, 225, 226, 227, 232, 233, 234, 235, 236, 241, 242, 243, 244, 249, 250, 251, 252, 253, 257, 258, 259, 260, 261, 265, 271, 272, 273, 274, 312, 313, 314, 317, 318, 329, 330, 331, 334, 335, 361 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 28, 30, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 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, 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, 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, 269, 270, 274, 275, 276, 277, 278, 279, 280, 287, 292, 297, 301, 306, 311, 316, 320, 324, 328, 333, 337, 340, 341, 344, 345, 352, 356, 357, 358, 359 }

B grade: { 13, 14, 15, 29, 44, 54, 58, 65, 72, 84, 133, 162, 266, 267, 268, 281, 286, 291, 296, 300, 305, 310, 315, 319, 323, 327, 332, 336, 346, 349, 355, 360 }

C grade: { 282, 283, 284, 285, 288, 289, 290, 293, 294, 295, 298, 299, 302, 303, 304, 307, 308, 309, 312, 313, 314, 317, 318, 321, 322, 325, 326, 329, 330, 331, 334, 335, 338, 339, 342, 343, 347, 348, 350, 351, 353, 354, 361 }

F grade: { 4, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 31, 32, 33, 85, 93, 102, 265, 271, 272, 273 }

2.1.6 Sympy

A grade: { 1, 2, 3, 9, 10, 11, 12, 28, 30, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 47, 48, 51, 52, 53, 55, 56, 57, 58, 62, 64, 66, 67, 68, 69, 70, 72, 77, 79, 80, 81, 82, 83, 84, 89, 97, 98, 105, 106, 107, 115, 123, 124, 144, 152, 153, 159, 160, 161, 162, 169, 172, 173, 181, 189, 270, 276, 277, 279, 280, 287, 292, 297, 306, 311, 316, 333, 357 }

B grade: { 63, 71, 78 }

C grade: { }

F grade: { 4, 5, 6, 7, 8, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 32, 33, 36, 40, 44, 49, 50, 54, 59, 60, 61, 65, 73, 74, 75, 76, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 99, 100, 101, 102, 103, 104, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 150, 151, 154, 155, 156, 157, 158, 163, 164, 165, 166, 167, 168, 170, 171, 174, 175, 176, 177, 178, 179, 180, 182, 183, 184, 185, 186, 187, 188, 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, 271, 272, 273, 274, 275, 278, 281, 282, 283, 284, 285, 286, 288, 289, 290, 291, 293, 294, 295, 296, 298, 299, 300, 301, 302, 303, 304, 305, 307, 308, 309, 310, 312, 313, 314, 315, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 358, 359, 360, 361 }

2.1.7 Giac

A grade: { 5, 6, 7, 8, 24, 28, 29, 30, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 125, 126, 127, 128, 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, 220, 221, 222, 223, 224, 228, 229, 230, 231, 232, 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, 267, 268, 269, 270, 287, 292, 297, 301, 306, 311, 316, 320, 324, 328, 333, 337, 341, 345, 355, 357, 358, 360 }

B grade: { 58, 72, 84, 122, 123, 124, 129, 130, 131, 132, 133, 219, 266, 275, 276, 277, 279, 280, 356, 359 }

C grade: { 278 }

F grade: { 1, 2, 3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 31, 32, 33, 44, 54, 65, 85, 93, 102, 225, 226, 227, 233, 234, 235, 236, 265, 271, 272, 273, 274, 281, 282, 283, 284, 285, 286, 288, 289, 290, 291, 293, 294, 295, 296, 298, 299, 300, 302, 303, 304, 305, 307, 308, 309, 310, 312, 313, 314, 315, 317, 318, 319, 321, 322, 323, 325, 326, 327, 329, 330, 331, 332, 334, 335, 336, 338, 339, 340, 342, 343, 344, 346, 347, 348, 349, 350, 351, 352, 353, 354, 361 }

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 A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 99 172 0 205 121 0
normalized size 1 1. 0.78 1.35 0. 1.61 0.95 0.
time (sec) N/A 0.052 0.072 0.036 0. 2.208 11.81 0.
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 88 134 0 176 95 0
normalized size 1 1. 0.87 1.33 0. 1.74 0.94 0.
time (sec) N/A 0.039 0.048 0.031 0. 2.102 4.849 0.
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 76 97 0 142 66 0
normalized size 1 1. 1.01 1.29 0. 1.89 0.88 0.
time (sec) N/A 0.023 0.031 0.03 0. 2.172 0.879 0.
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 238 238 167 209 0 0 0 0
normalized size 1 1. 0.7 0.88 0. 0. 0. 0.
time (sec) N/A 0.158 2.164 0.325 0. 0. 0. 0.
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 50 60 69 134 0 96
normalized size 1 1. 0.94 1.13 1.3 2.53 0. 1.81
time (sec) N/A 0.019 0.036 0.031 1.105 2.227 0. 1.25
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 63 62 82 162 0 144
normalized size 1 1. 0.8 0.78 1.04 2.05 0. 1.82
time (sec) N/A 0.026 0.04 0.03 0.974 2.248 0. 1.402
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 74 110 138 189 0 181
normalized size 1 1. 0.7 1.05 1.31 1.8 0. 1.72
time (sec) N/A 0.037 0.048 0.032 0.976 2.339 0. 1.427
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 85 158 169 212 0 217
normalized size 1 1. 0.65 1.21 1.29 1.62 0. 1.66
time (sec) N/A 0.049 0.054 0.034 0.979 2.435 0. 1.548
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 79 224 209 205 116 0
normalized size 1 1. 0.69 1.96 1.83 1.8 1.02 0.
time (sec) N/A 0.064 0.055 0.037 0.987 2.202 19.253 0.
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 68 176 171 182 90 0
normalized size 1 1. 0.75 1.93 1.88 2. 0.99 0.
time (sec) N/A 0.049 0.057 0.033 0.983 2.162 5.203 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 56 128 134 155 65 0
normalized size 1 1. 0.82 1.88 1.97 2.28 0.96 0.
time (sec) N/A 0.035 0.047 0.03 0.976 2.114 8.623 0.
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 76 88 124 36 0
normalized size 1 1. 1. 1.9 2.2 3.1 0.9 0.
time (sec) N/A 0.009 0.01 0.029 0.977 2.136 1.493 0.
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 61 53 0 637 0 0
normalized size 1 1. 1.11 0.96 0. 11.58 0. 0.
time (sec) N/A 0.031 0.042 0.031 0. 2.413 0. 0.
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 92 90 0 783 0 0
normalized size 1 1. 1.08 1.06 0. 9.21 0. 0.
time (sec) N/A 0.045 0.088 0.032 0. 2.545 0. 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 107 130 0 872 0 0
normalized size 1 1. 0.96 1.17 0. 7.86 0. 0.
time (sec) N/A 0.057 0.11 0.033 0. 2.637 0. 0.
Problem 16 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 196 196 161 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.115 0.542 0.898 0. 0. 0. 0.
Problem 17 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 168 168 147 0 0 0 0 0
normalized size 1 1. 0.88 0. 0. 0. 0. 0.
time (sec) N/A 0.086 0.372 0.865 0. 0. 0. 0.
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 135 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.246 1.036 0. 0. 0. 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 111 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.119 0.848 0. 0. 0. 0.
Problem 20 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 145 145 142 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.072 0.195 0.842 0. 0. 0. 0.
Problem 21 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 173 173 154 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.287 0.851 0. 0. 0. 0.
Problem 22 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 201 201 163 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.38 0.835 0. 0. 0. 0.
Problem 23 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 297 297 124 0 0 0 0 0
normalized size 1 1. 0.42 0. 0. 0. 0. 0.
time (sec) N/A 0.187 0.106 0.936 0. 0. 0. 0.
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 269 109 0 0 0 0 1
normalized size 1 1. 0.41 0. 0. 0. 0. 0.
time (sec) N/A 0.157 0.09 0.848 0. 0. 0. 1.29
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 232 232 85 0 0 0 0 0
normalized size 1 1. 0.37 0. 0. 0. 0. 0.
time (sec) N/A 0.136 0.104 0.944 0. 0. 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 272 118 0 0 0 0 0
normalized size 1 1. 0.43 0. 0. 0. 0. 0.
time (sec) N/A 0.162 0.105 0.819 0. 0. 0. 0.
Problem 27 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 302 302 131 0 0 0 0 0
normalized size 1 1. 0.43 0. 0. 0. 0. 0.
time (sec) N/A 0.181 0.1 0.843 0. 0. 0. 0.
Problem 28 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 44 44 39 48 50 150 60 89
normalized size 1 1. 0.89 1.09 1.14 3.41 1.36 2.02
time (sec) N/A 0.049 0.017 0.027 0.95 1.948 7.843 1.121
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 42 121 54 360 0 93
normalized size 1 1. 0.89 2.57 1.15 7.66 0. 1.98
time (sec) N/A 0.049 0.037 0.06 0.972 1.906 0. 1.161
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.091 0.803 0. 0. 0. 0.
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 409 409 482 1449 0 0 0 0
normalized size 1 1. 1.18 3.54 0. 0. 0. 0.
time (sec) N/A 0.506 0.174 1.372 0. 0. 0. 0.
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 324 676 0 0 0 0
normalized size 1 1. 1.21 2.52 0. 0. 0. 0.
time (sec) N/A 0.311 0.101 0.904 0. 0. 0. 0.
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 43 118 0 0 0 0
normalized size 1 1. 0.48 1.33 0. 0. 0. 0.
time (sec) N/A 0.051 0.263 0.514 0. 0. 0. 0.
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.09 0.78 0. 0. 0. 0.
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.744 0.756 0. 0. 0. 0.
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 34 41 0 155 0 58
normalized size 1 1. 0.92 1.11 0. 4.19 0. 1.57
time (sec) N/A 0.025 0.062 0.039 0. 1.994 0. 1.133
Problem 37 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 23 23 20 20 26 31 19 18
normalized size 1 1. 0.87 0.87 1.13 1.35 0.83 0.78
time (sec) N/A 0.008 0.016 0.032 1.152 1.598 0.813 1.134
Problem 38 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 23 23 20 20 26 31 39 18
normalized size 1 1. 0.87 0.87 1.13 1.35 1.7 0.78
time (sec) N/A 0.007 0.015 0.03 1.143 1.619 3.212 1.127
Problem 39 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 16 16 18 15 22 23 19 14
normalized size 1 1. 1.12 0.94 1.38 1.44 1.19 0.88
time (sec) N/A 0.003 0.01 0.027 1.144 1.694 1.279 1.12
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 19 21 46 22 0 12
normalized size 1 1. 0.9 1. 2.19 1.05 0. 0.57
time (sec) N/A 0.036 0.014 0.036 0.973 1.822 0. 1.118
Problem 41 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 17 17 18 18 23 27 14 16
normalized size 1 1. 1.06 1.06 1.35 1.59 0.82 0.94
time (sec) N/A 0.008 0.015 0.032 1.156 1.744 0.606 1.124
Problem 42 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 23 23 18 20 26 30 19 15
normalized size 1 1. 0.78 0.87 1.13 1.3 0.83 0.65
time (sec) N/A 0.009 0.014 0.033 1.164 1.66 1.1 1.139
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 23 23 20 20 26 32 20 18
normalized size 1 1. 0.87 0.87 1.13 1.39 0.87 0.78
time (sec) N/A 0.008 0.015 0.033 1.155 1.871 7.862 1.128
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 62 98 0 356 0 0
normalized size 1 1. 0.87 1.38 0. 5.01 0. 0.
time (sec) N/A 0.032 0.108 0.04 0. 2.223 0. 0.
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 37 38 49 55 37 32
normalized size 1 1. 0.88 0.9 1.17 1.31 0.88 0.76
time (sec) N/A 0.023 0.03 0.036 1.349 1.959 2.629 1.151
Problem 46 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 42 42 37 38 49 55 37 32
normalized size 1 1. 0.88 0.9 1.17 1.31 0.88 0.76
time (sec) N/A 0.022 0.048 0.035 1.345 1.535 1.741 1.141
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 74 38 49 55 37 32
normalized size 1 1. 2.18 1.12 1.44 1.62 1.09 0.94
time (sec) N/A 0.021 0.075 0.035 1.355 1.439 0.826 1.142
Problem 48 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 16 16 16 15 45 42 20 27
normalized size 1 1. 1. 0.94 2.81 2.62 1.25 1.69
time (sec) N/A 0.004 0.006 0.027 1.39 1.513 2.319 1.147
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 53 55 27 49 0 28
normalized size 1 1. 1.08 1.12 0.55 1. 0. 0.57
time (sec) N/A 0.034 0.041 0.036 2.359 1.478 0. 1.126
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 37 42 73 49 0 28
normalized size 1 1. 0.95 1.08 1.87 1.26 0. 0.72
time (sec) N/A 0.024 0.045 0.04 1.194 1.488 0. 1.132
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 42 35 46 59 32 30
normalized size 1 1. 1.17 0.97 1.28 1.64 0.89 0.83
time (sec) N/A 0.021 0.033 0.036 1.377 1.504 0.823 1.188
Problem 52 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 31 31 34 38 49 51 37 30
normalized size 1 1. 1.1 1.23 1.58 1.65 1.19 0.97
time (sec) N/A 0.013 0.039 0.035 1.371 1.52 2.068 1.113
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 64 37 38 49 55 39 32
normalized size 1 1.52 0.88 0.9 1.17 1.31 0.93 0.76
time (sec) N/A 0.03 0.029 0.035 1.369 1.464 8.015 1.179
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 97 177 0 657 0 0
normalized size 1 1. 0.88 1.61 0. 5.97 0. 0.
time (sec) N/A 0.058 0.104 0.041 0. 1.679 0. 0.
Problem 55 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 61 61 54 56 73 80 80 47
normalized size 1 1. 0.89 0.92 1.2 1.31 1.31 0.77
time (sec) N/A 0.044 0.023 0.038 1.563 1.422 6.785 1.142
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 53 53 54 56 73 80 56 47
normalized size 1 1. 1.02 1.06 1.38 1.51 1.06 0.89
time (sec) N/A 0.029 0.022 0.036 1.561 1.49 2.119 1.154
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 99 56 73 74 56 46
normalized size 1 1. 2.91 1.65 2.15 2.18 1.65 1.35
time (sec) N/A 0.014 0.073 0.037 1.547 1.426 6.831 1.128
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 15 69 66 20 42
normalized size 1 1. 1. 0.94 4.31 4.12 1.25 2.62
time (sec) N/A 0.004 0.006 0.028 1.531 1.413 3.007 1.11
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 104 92 42 73 0 43
normalized size 1 1. 1.35 1.19 0.55 0.95 0. 0.56
time (sec) N/A 0.081 0.058 0.037 2.45 1.577 0. 1.155
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 62 76 88 78 0 45
normalized size 1 1. 0.91 1.12 1.29 1.15 0. 0.66
time (sec) N/A 0.041 0.038 0.04 2.587 1.506 0. 1.11
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 66 59 97 81 0 42
normalized size 1 1. 1.1 0.98 1.62 1.35 0. 0.7
time (sec) N/A 0.04 0.044 0.042 1.427 1.524 0. 1.146
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 60 52 70 85 51 47
normalized size 1 1. 1.09 0.95 1.27 1.55 0.93 0.85
time (sec) N/A 0.037 0.024 0.037 1.595 1.442 6.218 1.145
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 50 56 72 73 56 45
normalized size 1 1. 1.61 1.81 2.32 2.35 1.81 1.45
time (sec) N/A 0.013 0.022 0.039 1.594 1.424 4.615 1.134
Problem 64 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 64 64 54 56 73 81 60 47
normalized size 1 1. 0.84 0.88 1.14 1.27 0.94 0.73
time (sec) N/A 0.032 0.04 0.038 1.589 1.442 3.858 1.142
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 137 278 0 1076 0 0
normalized size 1 1. 0.89 1.81 0. 6.99 0. 0.
time (sec) N/A 0.099 0.142 0.042 0. 1.593 0. 0.
Problem 66 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 80 80 71 74 97 108 75 62
normalized size 1 1. 0.89 0.92 1.21 1.35 0.94 0.78
time (sec) N/A 0.063 0.062 0.04 1.738 1.559 32.549 1.126
Problem 67 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 80 80 71 74 97 107 76 62
normalized size 1 1. 0.89 0.92 1.21 1.34 0.95 0.78
time (sec) N/A 0.056 0.031 0.04 1.738 1.512 18.93 1.122
Problem 68 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 80 80 71 74 97 104 78 62
normalized size 1 1. 0.89 0.92 1.21 1.3 0.98 0.78
time (sec) N/A 0.055 0.033 0.04 1.778 1.465 11.288 1.141
Problem 69 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 72 72 71 74 97 99 75 61
normalized size 1 1. 0.99 1.03 1.35 1.38 1.04 0.85
time (sec) N/A 0.047 0.024 0.042 1.735 1.389 6.741 1.138
Problem 70 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 53 53 71 74 97 99 60 61
normalized size 1 1. 1.34 1.4 1.83 1.87 1.13 1.15
time (sec) N/A 0.03 0.051 0.043 1.747 1.494 7.451 1.176
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 125 74 97 104 76 62
normalized size 1 1. 3.68 2.18 2.85 3.06 2.24 1.82
time (sec) N/A 0.014 0.084 0.04 1.742 1.496 2.47 1.101
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 15 93 85 20 57
normalized size 1 1. 1. 0.94 5.81 5.31 1.25 3.56
time (sec) N/A 0.005 0.005 0.027 1.733 1.535 2.017 1.13
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 175 127 57 95 0 58
normalized size 1 1. 1.67 1.21 0.54 0.9 0. 0.55
time (sec) N/A 0.065 0.091 0.038 2.404 1.616 0. 1.111
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 85 112 104 103 0 59
normalized size 1 1. 0.89 1.18 1.09 1.08 0. 0.62
time (sec) N/A 0.064 0.076 0.04 2.61 1.485 0. 1.19
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 81 93 112 101 0 58
normalized size 1 1. 0.93 1.07 1.29 1.16 0. 0.67
time (sec) N/A 0.062 0.035 0.043 2.771 1.575 0. 1.165
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 82 76 123 105 0 57
normalized size 1 1. 1.06 0.99 1.6 1.36 0. 0.74
time (sec) N/A 0.058 0.048 0.046 1.612 1.547 0. 1.135
Problem 77 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 74 74 78 69 97 112 70 62
normalized size 1 1. 1.05 0.93 1.31 1.51 0.95 0.84
time (sec) N/A 0.054 0.03 0.041 1.796 1.564 2.293 1.126
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 66 74 95 97 75 59
normalized size 1 1. 2.13 2.39 3.06 3.13 2.42 1.9
time (sec) N/A 0.013 0.052 0.044 1.798 1.485 4.027 1.125
Problem 79 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 64 64 71 74 97 104 78 62
normalized size 1 1. 1.11 1.16 1.52 1.62 1.22 0.97
time (sec) N/A 0.031 0.031 0.042 1.791 1.457 6.675 1.168
Problem 80 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 98 98 71 74 97 109 80 62
normalized size 1 1. 0.72 0.76 0.99 1.11 0.82 0.63
time (sec) N/A 0.053 0.033 0.04 1.798 1.523 11.641 1.158
Problem 81 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 80 132 71 74 97 111 76 62
normalized size 1 1.65 0.89 0.92 1.21 1.39 0.95 0.78
time (sec) N/A 0.075 0.034 0.04 1.793 1.408 16.137 1.103
Problem 82 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 80 80 71 74 97 112 76 62
normalized size 1 1. 0.89 0.92 1.21 1.4 0.95 0.78
time (sec) N/A 0.055 0.06 0.04 1.783 1.462 25.871 1.121
Problem 83 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 80 80 71 74 97 116 78 62
normalized size 1 1. 0.89 0.92 1.21 1.45 0.98 0.78
time (sec) N/A 0.056 0.032 0.04 1.801 1.467 78.113 1.166
Problem 84 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 34 34 177 110 149 149 41 92
normalized size 1 1. 5.21 3.24 4.38 4.38 1.21 2.71
time (sec) N/A 0.014 0.118 0.048 2.149 1.459 11.737 1.131
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 51 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.085 0.4 0. 0. 0. 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 79 202 57 92 0 58
normalized size 1 1. 0.98 2.49 0.7 1.14 0. 0.72
time (sec) N/A 0.058 0.044 0.034 1.781 1.485 0. 1.127
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 55 111 39 68 0 41
normalized size 1 1. 0.98 1.98 0.7 1.21 0. 0.73
time (sec) N/A 0.035 0.032 0.033 1.768 1.508 0. 1.133
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 49 24 38 0 26
normalized size 1 1. 1. 1.58 0.77 1.23 0. 0.84
time (sec) N/A 0.015 0.023 0.033 1.766 1.532 0. 1.137
Problem 89 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 12 12 12 13 18 22 17 15
normalized size 1 1. 1. 1.08 1.5 1.83 1.42 1.25
time (sec) N/A 0.004 0.047 0.027 1.461 1.451 9.014 1.156
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 29 43 24 38 0 27
normalized size 1 1. 0.66 0.98 0.55 0.86 0. 0.61
time (sec) N/A 0.027 0.019 0.038 1.778 1.558 0. 1.157
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 45 64 38 61 0 41
normalized size 1 1. 0.69 0.98 0.58 0.94 0. 0.63
time (sec) N/A 0.044 0.026 0.079 1.791 1.515 0. 1.143
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 66 87 54 103 0 61
normalized size 1 1. 0.72 0.95 0.59 1.12 0. 0.66
time (sec) N/A 0.068 0.034 0.081 1.796 1.515 0. 1.135
Problem 93 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 65 65 51 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.489 1.622 0. 0. 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 106 350 95 155 0 84
normalized size 1 1. 1.08 3.57 0.97 1.58 0. 0.86
time (sec) N/A 0.081 0.097 0.042 2.436 1.519 0. 1.161
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 83 223 80 132 0 65
normalized size 1 1. 1.11 2.97 1.07 1.76 0. 0.87
time (sec) N/A 0.053 0.052 0.041 2.44 1.513 0. 1.117
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 56 127 59 97 0 46
normalized size 1 1. 1.12 2.54 1.18 1.94 0. 0.92
time (sec) N/A 0.034 0.063 0.04 2.405 1.523 0. 1.159
Problem 97 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 28 28 27 56 35 62 36 32
normalized size 1 1. 0.96 2. 1.25 2.21 1.29 1.14
time (sec) N/A 0.014 0.051 0.039 2.447 1.5 15.179 1.122
Problem 98 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 14 14 14 15 16 24 20 16
normalized size 1 1. 1. 1.07 1.14 1.71 1.43 1.14
time (sec) N/A 0.005 0.006 0.027 1.472 1.441 14.972 1.143
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 53 67 38 89 0 42
normalized size 1 1. 0.76 0.96 0.54 1.27 0. 0.6
time (sec) N/A 0.046 0.062 0.066 2.449 1.597 0. 1.159
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 70 91 61 138 0 61
normalized size 1 1. 0.69 0.89 0.6 1.35 0. 0.6
time (sec) N/A 0.072 0.06 0.09 2.426 1.509 0. 1.148
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 92 116 86 177 0 86
normalized size 1 1. 0.64 0.81 0.6 1.24 0. 0.6
time (sec) N/A 0.096 0.048 0.089 2.423 1.504 0. 1.154
Problem 102 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 94 94 51 0 0 0 0 0
normalized size 1 1. 0.54 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.48 1.675 0. 0. 0. 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 114 371 109 200 0 82
normalized size 1 1. 1.24 4.03 1.18 2.17 0. 0.89
time (sec) N/A 0.073 0.042 0.041 3.541 1.5 0. 1.16
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 86 239 93 176 0 59
normalized size 1 1. 1.21 3.37 1.31 2.48 0. 0.83
time (sec) N/A 0.048 0.065 0.04 3.483 1.478 0. 1.185
Problem 105 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 47 47 49 136 65 132 54 50
normalized size 1 1. 1.04 2.89 1.38 2.81 1.15 1.06
time (sec) N/A 0.029 0.032 0.04 3.478 1.472 22.172 1.137
Problem 106 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 34 34 27 43 43 68 42 24
normalized size 1 1. 0.79 1.26 1.26 2. 1.24 0.71
time (sec) N/A 0.014 0.049 0.037 3.531 1.559 22.14 1.138
Problem 107 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 16 16 16 15 16 49 24 16
normalized size 1 1. 1. 0.94 1. 3.06 1.5 1.
time (sec) N/A 0.004 0.007 0.027 1.475 1.492 15.312 1.121
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 74 92 69 182 0 58
normalized size 1 1. 0.76 0.95 0.71 1.88 0. 0.6
time (sec) N/A 0.066 0.097 0.068 3.542 1.528 0. 1.153
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 93 117 93 232 0 81
normalized size 1 1. 0.71 0.89 0.71 1.77 0. 0.62
time (sec) N/A 0.093 0.043 0.085 3.525 1.522 0. 1.144
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 107 145 116 269 0 99
normalized size 1 1. 0.63 0.85 0.68 1.58 0. 0.58
time (sec) N/A 0.121 0.048 0.087 3.519 1.558 0. 1.131
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 83 154 86 151 0 82
normalized size 1 1. 0.82 1.52 0.85 1.5 0. 0.81
time (sec) N/A 0.065 0.032 0.066 1.793 1.496 0. 1.178
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 66 124 72 120 0 66
normalized size 1 1. 0.82 1.55 0.9 1.5 0. 0.82
time (sec) N/A 0.049 0.032 0.047 1.801 1.525 0. 1.186
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 49 69 57 97 0 50
normalized size 1 1. 0.83 1.17 0.97 1.64 0. 0.85
time (sec) N/A 0.03 0.027 0.046 1.794 1.542 0. 1.175
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 32 42 41 70 0 34
normalized size 1 1. 0.84 1.11 1.08 1.84 0. 0.89
time (sec) N/A 0.014 0.049 0.046 1.764 1.528 0. 1.123
Problem 115 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 18 18 18 15 16 31 26 24
normalized size 1 1. 1. 0.83 0.89 1.72 1.44 1.33
time (sec) N/A 0.005 0.006 0.029 1.685 1.506 0.755 1.151
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 61 54 0 188 0 43
normalized size 1 1. 0.97 0.86 0. 2.98 0. 0.68
time (sec) N/A 0.06 0.073 0.128 0. 1.557 0. 1.157
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 65 63 0 225 0 55
normalized size 1 1. 0.98 0.95 0. 3.41 0. 0.83
time (sec) N/A 0.032 0.037 0.126 0. 1.777 0. 1.18
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 89 92 0 292 0 89
normalized size 1 1. 0.71 0.74 0. 2.34 0. 0.71
time (sec) N/A 0.072 0.097 0.127 0. 1.72 0. 1.17
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 115 185 0 347 0 113
normalized size 1 1. 0.64 1.03 0. 1.94 0. 0.63
time (sec) N/A 0.121 0.098 0.129 0. 1.856 0. 1.168
Problem 120 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 101 101 83 154 86 180 0 203
normalized size 1 1. 0.82 1.52 0.85 1.78 0. 2.01
time (sec) N/A 0.067 0.037 0.033 1.78 1.682 0. 1.171
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 66 124 72 147 0 169
normalized size 1 1. 0.82 1.55 0.9 1.84 0. 2.11
time (sec) N/A 0.046 0.033 0.033 1.765 1.799 0. 1.159
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 49 69 57 120 0 136
normalized size 1 1. 0.83 1.17 0.97 2.03 0. 2.31
time (sec) N/A 0.029 0.03 0.033 1.768 1.789 0. 1.143
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 32 42 42 92 49 104
normalized size 1 1. 0.84 1.11 1.11 2.42 1.29 2.74
time (sec) N/A 0.014 0.057 0.036 1.762 1.921 49.994 1.156
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 15 16 63 26 62
normalized size 1 1. 1. 0.83 0.89 3.5 1.44 3.44
time (sec) N/A 0.005 0.006 0.027 1.693 2.023 19.827 1.138
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 80 131 0 228 0 77
normalized size 1 1. 0.88 1.44 0. 2.51 0. 0.85
time (sec) N/A 0.05 0.069 0.107 0. 2.12 0. 1.159
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 79 85 0 247 0 93
normalized size 1 1. 0.98 1.05 0. 3.05 0. 1.15
time (sec) N/A 0.047 0.035 0.118 0. 2.212 0. 1.157
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 88 91 0 296 0 99
normalized size 1 1. 0.96 0.99 0. 3.22 0. 1.08
time (sec) N/A 0.049 0.059 0.115 0. 2.141 0. 1.173
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 117 116 0 351 0 126
normalized size 1 1. 0.8 0.79 0. 2.4 0. 0.86
time (sec) N/A 0.094 0.092 0.115 0. 2.188 0. 1.203
Problem 129 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 101 101 83 154 86 205 0 324
normalized size 1 1. 0.82 1.52 0.85 2.03 0. 3.21
time (sec) N/A 0.065 0.038 0.035 1.831 2.046 0. 1.17
Problem 130 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 80 80 66 124 72 171 0 277
normalized size 1 1. 0.82 1.55 0.9 2.14 0. 3.46
time (sec) N/A 0.047 0.037 0.036 1.781 2.032 0. 1.185
Problem 131 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 59 59 49 69 57 146 0 227
normalized size 1 1. 0.83 1.17 0.97 2.47 0. 3.85
time (sec) N/A 0.029 0.031 0.033 1.801 1.982 0. 1.181
Problem 132 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 38 38 32 42 42 116 0 178
normalized size 1 1. 0.84 1.11 1.11 3.05 0. 4.68
time (sec) N/A 0.014 0.06 0.033 1.784 2.049 0. 1.117
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 15 16 85 0 116
normalized size 1 1. 1. 0.83 0.89 4.72 0. 6.44
time (sec) N/A 0.005 0.007 0.029 1.716 1.973 0. 1.12
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 99 222 0 288 0 99
normalized size 1 1. 0.82 1.83 0. 2.38 0. 0.82
time (sec) N/A 0.07 0.07 0.109 0. 2.092 0. 1.171
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 106 193 0 309 0 120
normalized size 1 1. 0.96 1.75 0. 2.81 0. 1.09
time (sec) N/A 0.069 0.053 0.116 0. 2.113 0. 1.142
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 108 142 0 320 0 124
normalized size 1 1. 0.98 1.29 0. 2.91 0. 1.13
time (sec) N/A 0.067 0.044 0.115 0. 2.111 0. 1.152
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 107 144 0 350 0 119
normalized size 1 1. 0.95 1.27 0. 3.1 0. 1.05
time (sec) N/A 0.068 0.07 0.118 0. 2.129 0. 1.171
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 134 169 0 413 0 146
normalized size 1 1. 0.8 1.01 0. 2.47 0. 0.87
time (sec) N/A 0.117 0.111 0.118 0. 2.161 0. 1.166
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 150 262 0 462 0 166
normalized size 1 1. 0.68 1.19 0. 2.09 0. 0.75
time (sec) N/A 0.174 0.123 0.122 0. 2.281 0. 1.165
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 83 153 86 126 0 82
normalized size 1 1. 0.84 1.55 0.87 1.27 0. 0.83
time (sec) N/A 0.065 0.043 0.061 1.797 2.082 0. 1.163
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 66 123 72 96 0 66
normalized size 1 1. 0.87 1.62 0.95 1.26 0. 0.87
time (sec) N/A 0.048 0.037 0.063 1.807 2.045 0. 1.17
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 49 68 57 73 0 50
normalized size 1 1. 0.86 1.19 1. 1.28 0. 0.88
time (sec) N/A 0.031 0.034 0.06 1.807 2.375 0. 1.185
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 32 56 41 47 0 31
normalized size 1 1. 0.89 1.56 1.14 1.31 0. 0.86
time (sec) N/A 0.015 0.051 0.062 1.774 2.338 0. 1.147
Problem 144 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 16 16 16 15 16 26 24 16
normalized size 1 1. 1. 0.94 1. 1.62 1.5 1.
time (sec) N/A 0.004 0.006 0.032 1.7 2.054 18.52 1.168
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 47 42 0 142 0 28
normalized size 1 1. 0.96 0.86 0. 2.9 0. 0.57
time (sec) N/A 0.016 0.047 0.136 0. 2.107 0. 1.123
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 78 95 0 232 0 63
normalized size 1 1. 0.83 1.01 0. 2.47 0. 0.67
time (sec) N/A 0.053 0.056 0.138 0. 2.156 0. 1.14
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 98 148 0 301 0 93
normalized size 1 1. 0.62 0.94 0. 1.91 0. 0.59
time (sec) N/A 0.096 0.084 0.147 0. 2.202 0. 1.164
Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 212 212 117 200 0 356 0 113
normalized size 1 1. 0.55 0.94 0. 1.68 0. 0.53
time (sec) N/A 0.151 0.107 0.148 0. 2.155 0. 1.146
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 83 319 86 138 0 104
normalized size 1 1. 0.87 3.36 0.91 1.45 0. 1.09
time (sec) N/A 0.067 0.044 0.042 1.786 2.343 0. 1.161
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 66 201 70 108 0 82
normalized size 1 1. 0.89 2.72 0.95 1.46 0. 1.11
time (sec) N/A 0.049 0.04 0.038 1.797 2.384 0. 1.174
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 49 106 55 85 0 62
normalized size 1 1. 0.89 1.93 1. 1.55 0. 1.13
time (sec) N/A 0.03 0.032 0.04 1.785 2.268 0. 1.155
Problem 152 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 34 34 29 40 41 61 46 39
normalized size 1 1. 0.85 1.18 1.21 1.79 1.35 1.15
time (sec) N/A 0.015 0.057 0.037 1.784 2.118 35.22 1.152
Problem 153 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 16 16 16 15 16 43 26 16
normalized size 1 1. 1. 0.94 1. 2.69 1.62 1.
time (sec) N/A 0.005 0.007 0.027 1.701 2.005 35.141 1.138
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 75 68 0 266 0 50
normalized size 1 1. 0.96 0.87 0. 3.41 0. 0.64
time (sec) N/A 0.036 0.091 0.115 0. 2.07 0. 1.159
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 91 105 0 346 0 86
normalized size 1 1. 0.73 0.85 0. 2.79 0. 0.69
time (sec) N/A 0.074 0.083 0.104 0. 2.113 0. 1.166
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 115 131 0 420 0 108
normalized size 1 1. 0.6 0.69 0. 2.2 0. 0.57
time (sec) N/A 0.128 0.116 0.127 0. 2.136 0. 1.177
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 133 186 0 478 0 128
normalized size 1 1. 0.54 0.76 0. 1.95 0. 0.52
time (sec) N/A 0.183 0.113 0.128 0. 2.122 0. 1.146
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 83 295 86 161 0 101
normalized size 1 1. 0.84 2.98 0.87 1.63 0. 1.02
time (sec) N/A 0.066 0.048 0.045 1.788 2.077 0. 1.15
Problem 159 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 76 76 65 186 70 131 90 80
normalized size 1 1. 0.86 2.45 0.92 1.72 1.18 1.05
time (sec) N/A 0.049 0.039 0.042 1.791 1.938 92.422 1.162
Problem 160 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 59 59 48 91 57 111 71 53
normalized size 1 1. 0.81 1.54 0.97 1.88 1.2 0.9
time (sec) N/A 0.03 0.036 0.043 1.797 1.952 92.143 1.165
Problem 161 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 38 38 31 42 42 89 51 27
normalized size 1 1. 0.82 1.11 1.11 2.34 1.34 0.71
time (sec) N/A 0.014 0.055 0.039 1.767 2.055 85.1 1.142
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 15 16 68 27 16
normalized size 1 1. 1. 0.83 0.89 3.78 1.5 0.89
time (sec) N/A 0.005 0.007 0.029 1.723 2.102 70.418 1.146
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 91 93 0 409 0 61
normalized size 1 1. 0.84 0.86 0. 3.79 0. 0.56
time (sec) N/A 0.054 0.143 0.115 0. 2.134 0. 1.151
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 113 130 0 494 0 88
normalized size 1 1. 0.73 0.84 0. 3.19 0. 0.57
time (sec) N/A 0.1 0.127 0.123 0. 2.158 0. 1.154
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 133 157 0 566 0 126
normalized size 1 1. 0.59 0.7 0. 2.53 0. 0.56
time (sec) N/A 0.152 0.116 0.128 0. 2.155 0. 1.154
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 150 211 0 613 0 155
normalized size 1 1. 0.54 0.76 0. 2.21 0. 0.56
time (sec) N/A 0.222 0.195 0.125 0. 2.173 0. 1.151
Problem 167 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 27 27 23 20 26 47 0 18
normalized size 1 1. 0.85 0.74 0.96 1.74 0. 0.67
time (sec) N/A 0.01 0.036 0.039 0.979 1.988 0. 1.146
Problem 168 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 27 27 23 20 26 46 0 18
normalized size 1 1. 0.85 0.74 0.96 1.7 0. 0.67
time (sec) N/A 0.009 0.026 0.038 0.983 2.041 0. 1.122
Problem 169 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 27 27 23 20 26 46 26 18
normalized size 1 1. 0.85 0.74 0.96 1.7 0.96 0.67
time (sec) N/A 0.01 0.026 0.037 0.978 1.995 26.399 1.134
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 23 20 26 43 0 18
normalized size 1 1. 0.85 0.74 0.96 1.59 0. 0.67
time (sec) N/A 0.008 0.026 0.036 0.989 1.988 0. 1.117
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 23 20 26 34 0 18
normalized size 1 1. 0.92 0.8 1.04 1.36 0. 0.72
time (sec) N/A 0.008 0.019 0.04 0.989 1.991 0. 1.134
Problem 172 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 23 23 20 20 26 28 22 18
normalized size 1 1. 0.87 0.87 1.13 1.22 0.96 0.78
time (sec) N/A 0.008 0.02 0.034 0.982 2.086 1.642 1.159
Problem 173 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 27 27 21 20 26 35 27 15
normalized size 1 1. 0.78 0.74 0.96 1.3 1. 0.56
time (sec) N/A 0.009 0.018 0.037 0.986 2.028 21.236 1.154
Problem 174 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 27 27 23 20 26 39 0 18
normalized size 1 1. 0.85 0.74 0.96 1.44 0. 0.67
time (sec) N/A 0.009 0.021 0.039 0.98 1.978 0. 1.164
Problem 175 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 48 48 40 38 49 77 0 32
normalized size 1 1. 0.83 0.79 1.02 1.6 0. 0.67
time (sec) N/A 0.023 0.06 0.042 1.019 1.97 0. 1.139
Problem 176 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 48 48 40 38 49 74 0 32
normalized size 1 1. 0.83 0.79 1.02 1.54 0. 0.67
time (sec) N/A 0.022 0.044 0.042 1.022 1.961 0. 1.117
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 40 38 49 73 0 32
normalized size 1 1. 0.83 0.79 1.02 1.52 0. 0.67
time (sec) N/A 0.023 0.04 0.039 1.015 2.006 0. 1.13
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 40 38 49 70 0 32
normalized size 1 1. 0.83 0.79 1.02 1.46 0. 0.67
time (sec) N/A 0.022 0.048 0.04 1.033 2.005 0. 1.125
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 40 47 49 62 0 32
normalized size 1 1. 0.87 1.02 1.07 1.35 0. 0.7
time (sec) N/A 0.021 0.031 0.04 1.028 1.999 0. 1.166
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 40 37 49 55 0 32
normalized size 1 1. 0.91 0.84 1.11 1.25 0. 0.73
time (sec) N/A 0.022 0.042 0.04 1.018 2.006 0. 1.152
Problem 181 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 40 38 49 55 48 31
normalized size 1 1. 0.83 0.79 1.02 1.15 1. 0.65
time (sec) N/A 0.023 0.044 0.041 1.044 1.935 22.546 1.132
Problem 182 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 48 48 40 38 49 63 0 32
normalized size 1 1. 0.83 0.79 1.02 1.31 0. 0.67
time (sec) N/A 0.023 0.043 0.043 1.058 2.085 0. 1.145
Problem 183 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 69 69 57 56 74 105 0 47
normalized size 1 1. 0.83 0.81 1.07 1.52 0. 0.68
time (sec) N/A 0.039 0.029 0.046 1.062 1.926 0. 1.142
Problem 184 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 69 69 57 56 74 104 0 47
normalized size 1 1. 0.83 0.81 1.07 1.51 0. 0.68
time (sec) N/A 0.038 0.039 0.044 1.065 2.041 0. 1.137
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 57 56 74 103 0 47
normalized size 1 1. 0.83 0.81 1.07 1.49 0. 0.68
time (sec) N/A 0.037 0.032 0.046 1.066 2.027 0. 1.175
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 57 56 74 97 0 47
normalized size 1 1. 0.83 0.81 1.07 1.41 0. 0.68
time (sec) N/A 0.037 0.028 0.046 1.053 2.035 0. 1.162
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 57 69 74 85 0 47
normalized size 1 1. 0.88 1.06 1.14 1.31 0. 0.72
time (sec) N/A 0.036 0.028 0.039 1.055 1.93 0. 1.128
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 57 64 74 78 0 47
normalized size 1 1. 0.9 1.02 1.17 1.24 0. 0.75
time (sec) N/A 0.036 0.031 0.043 1.049 1.926 0. 1.118
Problem 189 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 65 65 55 55 74 74 66 46
normalized size 1 1. 0.85 0.85 1.14 1.14 1.02 0.71
time (sec) N/A 0.038 0.029 0.043 1.069 1.972 26.945 1.164
Problem 190 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 69 69 57 56 74 78 0 46
normalized size 1 1. 0.83 0.81 1.07 1.13 0. 0.67
time (sec) N/A 0.038 0.031 0.044 1.088 1.964 0. 1.129
Problem 191 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 143 143 129 481 0 366 0 95
normalized size 1 1. 0.9 3.36 0. 2.56 0. 0.66
time (sec) N/A 0.127 0.058 0.132 0. 2.093 0. 1.128
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 108 330 0 308 0 80
normalized size 1 1. 0.93 2.84 0. 2.66 0. 0.69
time (sec) N/A 0.079 0.106 0.126 0. 2.201 0. 1.132
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 86 207 0 244 0 61
normalized size 1 1. 0.97 2.33 0. 2.74 0. 0.69
time (sec) N/A 0.056 0.089 0.126 0. 2.109 0. 1.119
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 62 112 0 189 0 42
normalized size 1 1. 0.97 1.75 0. 2.95 0. 0.66
time (sec) N/A 0.033 0.043 0.126 0. 2.089 0. 1.133
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 51 41 0 163 0 24
normalized size 1 1. 0.96 0.77 0. 3.08 0. 0.45
time (sec) N/A 0.018 0.027 0.126 0. 2.324 0. 1.112
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 73 76 0 207 0 42
normalized size 1 1. 0.96 1. 0. 2.72 0. 0.55
time (sec) N/A 0.036 0.06 0.13 0. 2.109 0. 1.147
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 89 98 0 275 0 55
normalized size 1 1. 0.88 0.97 0. 2.72 0. 0.54
time (sec) N/A 0.057 0.172 0.137 0. 2.017 0. 1.14
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 107 120 0 336 0 70
normalized size 1 1. 0.84 0.94 0. 2.62 0. 0.55
time (sec) N/A 0.084 0.146 0.134 0. 2.206 0. 1.158
Problem 199 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 135 135 144 452 0 427 0 103
normalized size 1 1. 1.07 3.35 0. 3.16 0. 0.76
time (sec) N/A 0.103 0.187 0.136 0. 2.107 0. 1.121
Problem 200 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 108 108 119 294 0 366 0 88
normalized size 1 1. 1.1 2.72 0. 3.39 0. 0.81
time (sec) N/A 0.076 0.134 0.139 0. 2.068 0. 1.141
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 81 160 0 300 0 62
normalized size 1 1. 0.98 1.93 0. 3.61 0. 0.75
time (sec) N/A 0.054 0.077 0.135 0. 2.033 0. 1.136
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 70 61 0 277 0 49
normalized size 1 1. 0.96 0.84 0. 3.79 0. 0.67
time (sec) N/A 0.034 0.06 0.135 0. 2.126 0. 1.132
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 80 82 0 274 0 47
normalized size 1 1. 0.82 0.85 0. 2.82 0. 0.48
time (sec) N/A 0.054 0.06 0.132 0. 2.057 0. 1.182
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 104 105 0 323 0 66
normalized size 1 1. 0.87 0.88 0. 2.69 0. 0.55
time (sec) N/A 0.08 0.104 0.124 0. 2.1 0. 1.153
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 120 128 0 402 0 78
normalized size 1 1. 0.83 0.88 0. 2.77 0. 0.54
time (sec) N/A 0.106 0.199 0.18 0. 2.081 0. 1.122
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 139 151 0 460 0 95
normalized size 1 1. 0.81 0.88 0. 2.67 0. 0.55
time (sec) N/A 0.137 0.267 0.178 0. 2.192 0. 1.124
Problem 207 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 135 135 147 418 0 509 0 104
normalized size 1 1. 1.09 3.1 0. 3.77 0. 0.77
time (sec) N/A 0.097 0.112 0.14 0. 2.092 0. 1.144
Problem 208 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 110 110 104 249 0 443 0 80
normalized size 1 1. 0.95 2.26 0. 4.03 0. 0.73
time (sec) N/A 0.071 0.088 0.138 0. 2.034 0. 1.135
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 96 85 0 423 0 63
normalized size 1 1. 0.98 0.87 0. 4.32 0. 0.64
time (sec) N/A 0.053 0.073 0.145 0. 2.067 0. 1.112
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 107 98 0 412 0 70
normalized size 1 1. 0.86 0.78 0. 3.3 0. 0.56
time (sec) N/A 0.071 0.132 0.135 0. 2.037 0. 1.131
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 118 112 0 423 0 63
normalized size 1 1. 0.78 0.74 0. 2.78 0. 0.41
time (sec) N/A 0.097 0.079 0.132 0. 2.102 0. 1.163
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 141 181 0 466 0 80
normalized size 1 1. 0.8 1.03 0. 2.65 0. 0.45
time (sec) N/A 0.128 0.167 0.142 0. 2.139 0. 1.11
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 156 207 0 545 0 96
normalized size 1 1. 0.78 1.03 0. 2.71 0. 0.48
time (sec) N/A 0.159 0.256 0.142 0. 2.129 0. 1.15
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 228 228 174 229 0 598 0 108
normalized size 1 1. 0.76 1. 0. 2.62 0. 0.47
time (sec) N/A 0.202 0.327 0.145 0. 2.163 0. 1.145
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 104 304 0 362 0 81
normalized size 1 1. 0.73 2.14 0. 2.55 0. 0.57
time (sec) N/A 0.078 0.086 0.167 0. 2.13 0. 1.168
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 84 174 0 304 0 65
normalized size 1 1. 0.81 1.67 0. 2.92 0. 0.62
time (sec) N/A 0.051 0.069 0.141 0. 2.072 0. 1.155
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 62 75 0 251 0 49
normalized size 1 1. 1.02 1.23 0. 4.11 0. 0.8
time (sec) N/A 0.029 0.039 0.069 0. 2.159 0. 1.149
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 52 149 0 243 0 77
normalized size 1 1. 1.06 3.04 0. 4.96 0. 1.57
time (sec) N/A 0.029 0.038 0.144 0. 2.063 0. 1.168
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 34 29 20 46 0 80
normalized size 1 1. 0.97 0.83 0.57 1.31 0. 2.29
time (sec) N/A 0.014 0.031 0.138 1.483 1.997 0. 1.141
Problem 220 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 72 72 48 59 46 84 0 151
normalized size 1 1. 0.67 0.82 0.64 1.17 0. 2.1
time (sec) N/A 0.033 0.034 0.154 1.482 2.159 0. 1.156
Problem 221 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 110 110 66 105 61 112 0 186
normalized size 1 1. 0.6 0.95 0.55 1.02 0. 1.69
time (sec) N/A 0.054 0.056 0.143 1.481 2.255 0. 1.185
Problem 222 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 148 148 82 151 76 134 0 224
normalized size 1 1. 0.55 1.02 0.51 0.91 0. 1.51
time (sec) N/A 0.078 0.061 0.158 1.476 2.189 0. 1.198
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 122 471 0 412 0 198
normalized size 1 1. 0.69 2.66 0. 2.33 0. 1.12
time (sec) N/A 0.104 0.089 0.115 0. 2.309 0. 1.204
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 105 304 0 363 0 165
normalized size 1 1. 0.76 2.19 0. 2.61 0. 1.19
time (sec) N/A 0.071 0.071 0.119 0. 2.327 0. 1.2
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 83 165 0 311 0 0
normalized size 1 1. 0.82 1.63 0. 3.08 0. 0.
time (sec) N/A 0.048 0.058 0.042 0. 2.273 0. 0.
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 77 280 0 289 0 0
normalized size 1 1. 0.95 3.46 0. 3.57 0. 0.
time (sec) N/A 0.056 0.052 0.117 0. 2.445 0. 0.
Problem 227 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 70 70 74 315 0 302 0 0
normalized size 1 1. 1.06 4.5 0. 4.31 0. 0.
time (sec) N/A 0.042 0.042 0.135 0. 2.312 0. 0.
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 35 35 34 29 20 78 0 45
normalized size 1 1. 0.97 0.83 0.57 2.23 0. 1.29
time (sec) N/A 0.014 0.036 0.146 1.483 2.308 0. 1.338
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 48 59 46 105 0 80
normalized size 1 1. 0.67 0.82 0.64 1.46 0. 1.11
time (sec) N/A 0.033 0.041 0.129 1.469 2.183 0. 1.257
Problem 230 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 110 110 66 105 61 135 0 105
normalized size 1 1. 0.6 0.95 0.55 1.23 0. 0.95
time (sec) N/A 0.052 0.045 0.136 1.485 2.029 0. 1.336
Problem 231 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 148 148 82 151 76 162 0 131
normalized size 1 1. 0.55 1.02 0.51 1.09 0. 0.89
time (sec) N/A 0.076 0.066 0.153 1.5 1.958 0. 1.336
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 121 471 0 425 0 275
normalized size 1 1. 0.7 2.71 0. 2.44 0. 1.58
time (sec) N/A 0.098 0.082 0.117 0. 2.218 0. 1.312
Problem 233 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 136 136 101 286 0 365 0 0
normalized size 1 1. 0.74 2.1 0. 2.68 0. 0.
time (sec) N/A 0.069 0.058 0.046 0. 2.17 0. 0.
Problem 234 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 121 121 101 460 0 351 0 0
normalized size 1 1. 0.83 3.8 0. 2.9 0. 0.
time (sec) N/A 0.066 0.071 0.116 0. 2.114 0. 0.
Problem 235 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 106 106 97 501 0 362 0 0
normalized size 1 1. 0.92 4.73 0. 3.42 0. 0.
time (sec) N/A 0.063 0.064 0.119 0. 2.153 0. 0.
Problem 236 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 93 93 95 532 0 365 0 0
normalized size 1 1. 1.02 5.72 0. 3.92 0. 0.
time (sec) N/A 0.059 0.051 0.124 0. 2.084 0. 0.
Problem 237 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 35 35 34 29 20 100 0 45
normalized size 1 1. 0.97 0.83 0.57 2.86 0. 1.29
time (sec) N/A 0.013 0.042 0.121 1.475 2.108 0. 1.243
Problem 238 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 72 72 48 59 46 130 0 80
normalized size 1 1. 0.67 0.82 0.64 1.81 0. 1.11
time (sec) N/A 0.033 0.045 0.134 1.482 2.066 0. 1.271
Problem 239 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 110 110 66 105 61 162 0 105
normalized size 1 1. 0.6 0.95 0.55 1.47 0. 0.95
time (sec) N/A 0.057 0.045 0.163 1.473 2.048 0. 1.194
Problem 240 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 148 148 82 151 76 186 0 131
normalized size 1 1. 0.55 1.02 0.51 1.26 0. 0.89
time (sec) N/A 0.079 0.071 0.241 1.481 2.298 0. 1.229
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 105 304 0 369 0 86
normalized size 1 1. 0.72 2.1 0. 2.54 0. 0.59
time (sec) N/A 0.081 0.085 0.171 0. 2.457 0. 1.159
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 88 174 0 316 0 70
normalized size 1 1. 0.82 1.63 0. 2.95 0. 0.65
time (sec) N/A 0.052 0.076 0.167 0. 2.296 0. 1.165
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 66 80 0 255 0 51
normalized size 1 1. 1.05 1.27 0. 4.05 0. 0.81
time (sec) N/A 0.028 0.054 0.173 0. 2.15 0. 1.173
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 33 24 0 162 0 31
normalized size 1 1. 1.1 0.8 0. 5.4 0. 1.03
time (sec) N/A 0.012 0.03 0.095 0. 2.075 0. 1.149
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 29 20 41 0 41
normalized size 1 1. 0.97 0.88 0.61 1.24 0. 1.24
time (sec) N/A 0.013 0.039 0.17 1.479 2.062 0. 1.146
Problem 246 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 72 72 46 59 45 61 0 74
normalized size 1 1. 0.64 0.82 0.62 0.85 0. 1.03
time (sec) N/A 0.032 0.041 0.168 1.483 2.123 0. 1.156
Problem 247 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 110 110 66 105 61 88 0 104
normalized size 1 1. 0.6 0.95 0.55 0.8 0. 0.95
time (sec) N/A 0.056 0.048 0.171 1.488 2.002 0. 1.174
Problem 248 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 148 148 82 151 74 109 0 139
normalized size 1 1. 0.55 1.02 0.5 0.74 0. 0.94
time (sec) N/A 0.083 0.052 0.169 1.501 2.099 0. 1.17
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 122 428 0 485 0 101
normalized size 1 1. 0.73 2.58 0. 2.92 0. 0.61
time (sec) N/A 0.107 0.102 0.124 0. 2.159 0. 1.195
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 104 261 0 429 0 85
normalized size 1 1. 0.81 2.04 0. 3.35 0. 0.66
time (sec) N/A 0.076 0.094 0.119 0. 2.224 0. 1.204
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 81 130 0 363 0 65
normalized size 1 1. 0.94 1.51 0. 4.22 0. 0.76
time (sec) N/A 0.049 0.078 0.121 0. 2.219 0. 1.208
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 55 42 0 308 0 53
normalized size 1 1. 1.06 0.81 0. 5.92 0. 1.02
time (sec) N/A 0.026 0.048 0.125 0. 2.106 0. 1.221
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 29 0 53 0 20
normalized size 1 1. 0.97 0.88 0. 1.61 0. 0.61
time (sec) N/A 0.013 0.031 0.057 0. 1.988 0. 1.17
Problem 254 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 68 68 43 59 43 78 0 68
normalized size 1 1. 0.63 0.87 0.63 1.15 0. 1.
time (sec) N/A 0.033 0.047 0.146 1.499 2.03 0. 1.178
Problem 255 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 110 110 64 105 61 104 0 144
normalized size 1 1. 0.58 0.95 0.55 0.95 0. 1.31
time (sec) N/A 0.054 0.049 0.148 1.505 2.057 0. 1.276
Problem 256 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 148 148 80 151 73 128 0 217
normalized size 1 1. 0.54 1.02 0.49 0.86 0. 1.47
time (sec) N/A 0.08 0.062 0.119 1.507 1.998 0. 1.401
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 121 348 0 575 0 101
normalized size 1 1. 0.79 2.27 0. 3.76 0. 0.66
time (sec) N/A 0.096 0.105 0.125 0. 2.15 0. 1.209
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 101 180 0 512 0 82
normalized size 1 1. 0.91 1.62 0. 4.61 0. 0.74
time (sec) N/A 0.066 0.09 0.127 0. 2.099 0. 1.202
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 78 59 0 451 0 66
normalized size 1 1. 1.04 0.79 0. 6.01 0. 0.88
time (sec) N/A 0.042 0.064 0.118 0. 2.126 0. 1.281
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 34 92 0 77 0 20
normalized size 1 1. 0.97 2.63 0. 2.2 0. 0.57
time (sec) N/A 0.012 0.042 0.118 0. 2.093 0. 1.162
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 47 58 0 99 0 34
normalized size 1 1. 0.66 0.82 0. 1.39 0. 0.48
time (sec) N/A 0.032 0.035 0.043 0. 2.079 0. 1.218
Problem 262 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 106 106 66 104 61 128 0 84
normalized size 1 1. 0.62 0.98 0.58 1.21 0. 0.79
time (sec) N/A 0.055 0.052 0.119 1.514 2.165 0. 1.21
Problem 263 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 146 146 79 150 76 150 0 161
normalized size 1 1. 0.54 1.03 0.52 1.03 0. 1.1
time (sec) N/A 0.079 0.059 0.118 1.514 2.081 0. 1.322
Problem 264 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 186 186 100 196 90 181 0 234
normalized size 1 1. 0.54 1.05 0.48 0.97 0. 1.26
time (sec) N/A 0.104 0.065 0.12 1.513 2.073 0. 1.442
Problem 265 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 79 79 71 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.128 1.392 0. 0. 0. 0.
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 146 654 188 788 0 448
normalized size 1 1. 0.88 3.96 1.14 4.78 0. 2.72
time (sec) N/A 0.134 0.104 0.049 1.793 2.183 0. 1.178
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 106 492 136 536 0 305
normalized size 1 1. 0.88 4.07 1.12 4.43 0. 2.52
time (sec) N/A 0.075 0.077 0.046 1.813 2.162 0. 1.214
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 71 315 92 347 0 189
normalized size 1 1. 0.87 3.84 1.12 4.23 0. 2.3
time (sec) N/A 0.046 0.058 0.044 1.799 2.13 0. 1.17
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 41 175 57 198 0 103
normalized size 1 1. 0.85 3.65 1.19 4.12 0. 2.15
time (sec) N/A 0.019 0.042 0.042 1.782 2.083 0. 1.162
Problem 270 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 20 20 20 21 28 104 51 38
normalized size 1 1. 1. 1.05 1.4 5.2 2.55 1.9
time (sec) N/A 0.007 0.015 0.027 1.696 2.339 1.469 1.16
Problem 271 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 64 64 60 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.021 0.082 0.654 0. 0. 0. 0.
Problem 272 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 71 71 67 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.04 0.836 0. 0. 0. 0.
Problem 273 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 101 101 67 0 0 0 0 0
normalized size 1 1. 0.66 0. 0. 0. 0. 0.
time (sec) N/A 0.067 0.052 0.913 0. 0. 0. 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F(-2) A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 34 676 0 72 0 0
normalized size 1 1. 0.92 18.27 0. 1.95 0. 0.
time (sec) N/A 0.018 0.053 0.24 0. 2.142 0. 0.
Problem 275 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 23 23 20 20 26 31 0 96
normalized size 1 1. 0.87 0.87 1.13 1.35 0. 4.17
time (sec) N/A 0.02 0.024 0.034 1.133 2.085 0. 1.176
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 20 20 26 31 70 96
normalized size 1 1. 0.87 0.87 1.13 1.35 3.04 4.17
time (sec) N/A 0.007 0.014 0.032 1.143 2.123 124.543 1.202
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 18 15 22 23 46 89
normalized size 1 1. 1.12 0.94 1.38 1.44 2.88 5.56
time (sec) N/A 0.003 0.007 0.026 1.125 2.106 9.436 1.2
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 19 21 46 22 0 20
normalized size 1 1. 0.9 1. 2.19 1.05 0. 0.95
time (sec) N/A 0.03 0.016 0.039 0.953 2.135 0. 1.169
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 18 18 23 27 42 95
normalized size 1 1. 1.06 1.06 1.35 1.59 2.47 5.59
time (sec) N/A 0.008 0.015 0.033 1.139 2.084 17.095 1.187
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 18 20 26 30 49 96
normalized size 1 1. 0.78 0.87 1.13 1.3 2.13 4.17
time (sec) N/A 0.009 0.014 0.032 1.147 2.12 142.164 1.19
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 47 21 45 215 0 0
normalized size 1 1. 1.74 0.78 1.67 7.96 0. 0.
time (sec) N/A 0.032 0.021 0.04 1.122 2.237 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 81 479 76 327 0 0
normalized size 1 1. 1.59 9.39 1.49 6.41 0. 0.
time (sec) N/A 0.061 0.015 0.23 1.164 2.147 0. 0.
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 109 501 105 436 0 0
normalized size 1 1. 1.42 6.51 1.36 5.66 0. 0.
time (sec) N/A 0.086 0.031 0.151 1.158 2.232 0. 0.
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 307 307 345 5366 379 2588 0 0
normalized size 1 1. 1.12 17.48 1.23 8.43 0. 0.
time (sec) N/A 0.469 11.565 3.866 2.092 2.575 0. 0.
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 259 5062 290 2115 0 0
normalized size 1 1. 1.12 21.91 1.26 9.16 0. 0.
time (sec) N/A 0.371 9.429 5.313 2.11 2.261 0. 0.
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 131 306 192 1602 0 0
normalized size 1 1. 0.87 2.04 1.28 10.68 0. 0.
time (sec) N/A 0.222 6.085 0.158 2.097 2.108 0. 0.
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.141 13.658 0.31 0. 0. 0. 0.
Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 144 1769 201 1378 0 0
normalized size 1 1. 0.93 11.41 1.3 8.89 0. 0.
time (sec) N/A 0.296 4.363 11.484 3.28 2.003 0. 0.
Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 118 1710 169 1161 0 0
normalized size 1 1. 0.92 13.36 1.32 9.07 0. 0.
time (sec) N/A 0.254 4.879 14.46 3.272 1.987 0. 0.
Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 91 1627 136 954 0 0
normalized size 1 1. 0.9 16.11 1.35 9.45 0. 0.
time (sec) N/A 0.224 4.922 3.849 3.252 2.015 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 69 69 201 247 97 709 0 0
normalized size 1 1. 2.91 3.58 1.41 10.28 0. 0.
time (sec) N/A 0.137 4.316 0.116 3.263 2.056 0. 0.
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.079 4.235 0.31 0. 0. 0. 0.
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 144 1773 197 1281 0 0
normalized size 1 1. 0.86 10.55 1.17 7.62 0. 0.
time (sec) N/A 0.297 4.375 15.613 3.278 2.009 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 119 1716 166 1083 0 0
normalized size 1 1. 0.86 12.35 1.19 7.79 0. 0.
time (sec) N/A 0.258 5.035 13.838 3.27 2.024 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 93 1635 135 895 0 0
normalized size 1 1. 0.85 14.86 1.23 8.14 0. 0.
time (sec) N/A 0.224 5.022 6.896 3.251 1.926 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 76 76 200 280 99 668 0 0
normalized size 1 1. 2.63 3.68 1.3 8.79 0. 0.
time (sec) N/A 0.138 4.275 0.147 3.287 1.969 0. 0.
Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.067 5.204 0.329 0. 0. 0. 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 303 303 353 5294 374 2561 0 0
normalized size 1 1. 1.17 17.47 1.23 8.45 0. 0.
time (sec) N/A 0.457 10.053 3.53 2.129 2.572 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 229 229 267 4990 288 2094 0 0
normalized size 1 1. 1.17 21.79 1.26 9.14 0. 0.
time (sec) N/A 0.372 8.601 5.571 2.133 2.482 0. 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 131 306 192 1586 0 0
normalized size 1 1. 0.87 2.04 1.28 10.57 0. 0.
time (sec) N/A 0.227 4.782 0.137 2.096 2.307 0. 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.141 13.623 0.329 0. 0. 0. 0.
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 141 1741 197 1281 0 0
normalized size 1 1. 0.93 11.45 1.3 8.43 0. 0.
time (sec) N/A 0.304 4.291 13.915 3.269 2.091 0. 0.
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 116 1684 166 1083 0 0
normalized size 1 1. 0.92 13.37 1.32 8.6 0. 0.
time (sec) N/A 0.259 4.844 16.177 3.315 1.967 0. 0.
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 90 1603 135 895 0 0
normalized size 1 1. 0.9 16.03 1.35 8.95 0. 0.
time (sec) N/A 0.23 4.876 7.336 3.294 2.057 0. 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 69 69 197 247 97 668 0 0
normalized size 1 1. 2.86 3.58 1.41 9.68 0. 0.
time (sec) N/A 0.142 3.455 0.108 3.251 1.931 0. 0.
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 4.187 0.349 0. 0. 0. 0.
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 147 1801 201 1378 0 0
normalized size 1 1. 0.89 10.92 1.22 8.35 0. 0.
time (sec) N/A 0.299 4.28 14.384 3.312 1.982 0. 0.
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 121 1742 169 1161 0 0
normalized size 1 1. 0.88 12.72 1.23 8.47 0. 0.
time (sec) N/A 0.264 4.947 15.92 3.292 2.08 0. 0.
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 94 1659 136 954 0 0
normalized size 1 1. 0.86 15.22 1.25 8.75 0. 0.
time (sec) N/A 0.231 4.798 9.189 3.272 1.917 0. 0.
Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 76 76 208 280 99 709 0 0
normalized size 1 1. 2.74 3.68 1.3 9.33 0. 0.
time (sec) N/A 0.137 4.055 0.107 3.275 2.007 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 4.308 0.322 0. 0. 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 302 302 654 7429 0 4516 0 0
normalized size 1 1. 2.17 24.6 0. 14.95 0. 0.
time (sec) N/A 0.232 1.193 4.766 0. 2.886 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 409 5543 0 3359 0 0
normalized size 1 1. 1.75 23.69 0. 14.35 0. 0.
time (sec) N/A 0.165 0.648 8.575 0. 2.487 0. 0.
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 162 162 263 2543 0 2314 0 0
normalized size 1 1. 1.62 15.7 0. 14.28 0. 0.
time (sec) N/A 0.108 0.292 4.416 0. 2.161 0. 0.
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 74 178 246 1494 0 0
normalized size 1 1. 0.94 2.25 3.11 18.91 0. 0.
time (sec) N/A 0.048 0.027 0.138 1.595 2.295 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 5.063 0.602 0. 0. 0. 0.
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 395 395 346 6967 0 5873 0 0
normalized size 1 1. 0.88 17.64 0. 14.87 0. 0.
time (sec) N/A 0.499 0.853 4.986 0. 2.978 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 257 6593 0 4547 0 0
normalized size 1 1. 0.87 22.35 0. 15.41 0. 0.
time (sec) N/A 0.403 0.583 9.453 0. 2.738 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 4654 612 502 3212 0 0
normalized size 1 1. 23.99 3.15 2.59 16.56 0. 0.
time (sec) N/A 0.239 32.49 0.09 1.804 2.771 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.15 4.54 0.375 0. 0. 0. 0.
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 155 2346 460 981 0 0
normalized size 1 1. 0.91 13.8 2.71 5.77 0. 0.
time (sec) N/A 0.292 0.411 14.966 1.17 2.086 0. 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 119 2256 333 813 0 0
normalized size 1 1. 0.89 16.96 2.5 6.11 0. 0.
time (sec) N/A 0.246 0.29 7.477 1.086 1.95 0. 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 766 292 355 605 0 0
normalized size 1 1. 8.24 3.14 3.82 6.51 0. 0.
time (sec) N/A 0.151 12.926 0.134 1.486 1.991 0. 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.096 1.043 0.388 0. 0. 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 156 2456 459 994 0 0
normalized size 1 1. 0.91 14.36 2.68 5.81 0. 0.
time (sec) N/A 0.289 0.392 14.246 1.182 2.082 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 120 2358 332 822 0 0
normalized size 1 1. 0.9 17.6 2.48 6.13 0. 0.
time (sec) N/A 0.244 0.299 3.953 1.096 2.007 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 723 328 358 612 0 0
normalized size 1 1. 7.69 3.49 3.81 6.51 0. 0.
time (sec) N/A 0.148 15.109 0.136 1.5 1.942 0. 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.998 0.381 0. 0. 0. 0.
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B C F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 302 302 654 7429 0 3679 0 0
normalized size 1 1. 2.17 24.6 0. 12.18 0. 0.
time (sec) N/A 0.233 0.301 4.522 0. 2.895 0. 0.
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 409 5543 0 2647 0 0
normalized size 1 1. 1.75 23.69 0. 11.31 0. 0.
time (sec) N/A 0.17 0.188 8.488 0. 2.666 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 162 162 263 2544 0 1725 0 0
normalized size 1 1. 1.62 15.7 0. 10.65 0. 0.
time (sec) N/A 0.109 0.123 5.203 0. 2.369 0. 0.
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 74 422 248 1030 0 0
normalized size 1 1. 0.94 5.34 3.14 13.04 0. 0.
time (sec) N/A 0.046 0.037 0.109 1.627 2.268 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.889 1.075 0. 0. 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 391 391 339 6775 0 4749 0 0
normalized size 1 1. 0.87 17.33 0. 12.15 0. 0.
time (sec) N/A 0.486 0.903 5.454 0. 3.3 0. 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 253 6425 0 3839 0 0
normalized size 1 1. 0.86 21.93 0. 13.1 0. 0.
time (sec) N/A 0.4 0.541 9.795 0. 3.221 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 4463 629 529 2920 0 0
normalized size 1 1. 23.01 3.24 2.73 15.05 0. 0.
time (sec) N/A 0.241 31.437 0.088 1.885 2.976 0. 0.
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.142 4.909 0.371 0. 0. 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 155 2456 462 506 0 0
normalized size 1 1. 0.92 14.62 2.75 3.01 0. 0.
time (sec) N/A 0.296 0.417 16.132 1.186 2.009 0. 0.
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 119 2358 335 431 0 0
normalized size 1 1. 0.9 17.86 2.54 3.27 0. 0.
time (sec) N/A 0.246 0.298 9.899 1.108 1.815 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 709 299 389 340 0 0
normalized size 1 1. 7.62 3.22 4.18 3.66 0. 0.
time (sec) N/A 0.149 36.436 0.124 1.537 1.822 0. 0.
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 0.954 0.395 0. 0. 0. 0.
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 155 2346 463 505 0 0
normalized size 1 1. 0.92 13.88 2.74 2.99 0. 0.
time (sec) N/A 0.295 0.405 18.589 1.18 1.938 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 119 2256 336 428 0 0
normalized size 1 1. 0.89 16.96 2.53 3.22 0. 0.
time (sec) N/A 0.25 0.297 10.754 1.104 2.149 0. 0.
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 605 335 386 336 0 0
normalized size 1 1. 6.44 3.56 4.11 3.57 0. 0.
time (sec) N/A 0.149 27.178 0.122 1.515 2.3 0. 0.
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.096 1.04 0.387 0. 0. 0. 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 51 31 78 263 0 0
normalized size 1 1. 2.43 1.48 3.71 12.52 0. 0.
time (sec) N/A 0.012 0.035 0.044 0.964 1.581 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 71 62 80 375 0 0
normalized size 1 1. 1.65 1.44 1.86 8.72 0. 0.
time (sec) N/A 0.043 0.026 0.036 0.963 1.603 0. 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 93 79 103 463 0 0
normalized size 1 1. 1.6 1.36 1.78 7.98 0. 0.
time (sec) N/A 0.067 0.028 0.036 0.962 1.686 0. 0.
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 68 67 144 419 0 0
normalized size 1 1. 1.94 1.91 4.11 11.97 0. 0.
time (sec) N/A 0.014 0.077 0.042 0.962 1.548 0. 0.
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 113 153 146 585 0 0
normalized size 1 1. 1.59 2.15 2.06 8.24 0. 0.
time (sec) N/A 0.058 0.052 0.042 1.008 1.617 0. 0.
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 149 185 192 732 0 0
normalized size 1 1. 1.48 1.83 1.9 7.25 0. 0.
time (sec) N/A 0.092 0.049 0.048 1.037 1.63 0. 0.
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 108 164 284 900 0 0
normalized size 1 1. 0.64 0.98 1.69 5.36 0. 0.
time (sec) N/A 0.13 0.077 0.076 0.996 1.801 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 177 596 262 1195 0 0
normalized size 1 1. 0.84 2.82 1.24 5.66 0. 0.
time (sec) N/A 0.15 0.118 0.131 1.075 1.748 0. 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 235 672 338 1454 0 0
normalized size 1 1. 0.89 2.55 1.28 5.51 0. 0.
time (sec) N/A 0.197 0.088 0.126 1.064 1.607 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 153 868 248 625 0 220
normalized size 1 1. 1.43 8.11 2.32 5.84 0. 2.06
time (sec) N/A 0.171 0.175 0.473 1.483 1.763 0. 1.273
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 49 49 60 887 86 238 0 198
normalized size 1 1. 1.22 18.1 1.76 4.86 0. 4.04
time (sec) N/A 0.075 0.088 0.375 1.003 1.76 0. 1.235
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 45 45 46 68 58 112 58 47
normalized size 1 1. 1.02 1.51 1.29 2.49 1.29 1.04
time (sec) N/A 0.054 0.082 0.038 0.994 1.733 11.378 1.105
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 45 45 46 351 58 55 0 54
normalized size 1 1. 1.02 7.8 1.29 1.22 0. 1.2
time (sec) N/A 0.054 0.083 0.257 0.986 1.932 0. 1.193
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C A A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 49 49 59 872 86 236 0 132
normalized size 1 1. 1.2 17.8 1.76 4.82 0. 2.69
time (sec) N/A 0.068 0.083 0.335 0.999 1.944 0. 1.181
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C B B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 107 107 150 842 248 624 0 234
normalized size 1 1. 1.4 7.87 2.32 5.83 0. 2.19
time (sec) N/A 0.17 0.172 0.385 1.48 1.761 0. 1.256
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 114 668 0 980 0 0
normalized size 1 1. 0.84 4.91 0. 7.21 0. 0.
time (sec) N/A 0.538 0.283 0.285 0. 1.75 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 [281] had the largest ratio of [ 1.333 ]

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 6 4 1. 23 0.174
2 A 5 4 1. 23 0.174
3 A 4 4 1. 21 0.19
4 A 8 8 1. 23 0.348
5 A 2 2 1. 23 0.087
6 A 3 3 1. 23 0.13
7 A 4 3 1. 23 0.13
8 A 5 3 1. 23 0.13
9 A 4 3 1. 23 0.13
10 A 4 3 1. 23 0.13
11 A 4 3 1. 23 0.13
12 A 2 2 1. 19 0.105
13 A 4 4 1. 23 0.174
14 A 5 5 1. 23 0.217
15 A 6 5 1. 23 0.217
16 A 6 4 1. 25 0.16
17 A 5 4 1. 25 0.16
18 A 4 4 1. 25 0.16
19 A 3 3 1. 25 0.12
20 A 4 4 1. 25 0.16
21 A 5 4 1. 25 0.16
22 A 6 4 1. 25 0.16
23 A 7 6 1. 25 0.24
24 A 6 6 1. 25 0.24
25 A 5 5 1. 25 0.2
26 A 6 6 1. 25 0.24
27 A 7 6 1. 25 0.24
28 A 4 4 1. 12 0.333
29 A 4 4 1. 14 0.286
30 A 0 0 0. 0 0.
31 A 9 7 1. 40 0.175
32 A 7 6 1. 40 0.15
33 A 2 3 1. 38 0.079
34 A 0 0 0. 0 0.
35 A 0 0 0. 0 0.
36 A 2 2 1. 11 0.182
37 A 2 2 1. 11 0.182
38 A 2 2 1. 9 0.222
39 A 2 2 1. 7 0.286
40 A 2 2 1. 11 0.182
41 A 2 2 1. 11 0.182
42 A 2 2 1. 11 0.182
43 A 2 2 1. 11 0.182
44 A 3 2 1. 13 0.154
45 A 3 2 1. 13 0.154
46 A 3 2 1. 13 0.154
47 A 3 3 1. 11 0.273
48 A 2 2 1. 9 0.222
49 A 3 3 1. 13 0.231
50 A 3 3 1. 13 0.231
51 A 3 2 1. 13 0.154
52 A 1 1 1. 13 0.077
53 A 2 2 1.52 13 0.154
54 A 4 2 1. 13 0.154
55 A 4 2 1. 13 0.154
56 A 4 3 1. 13 0.231
57 A 3 3 1. 11 0.273
58 A 2 2 1. 9 0.222
59 A 4 3 1. 13 0.231
60 A 4 4 1. 13 0.308
61 A 4 3 1. 13 0.231
62 A 4 2 1. 13 0.154
63 A 1 1 1. 13 0.077
64 A 2 2 1. 13 0.154
65 A 5 2 1. 13 0.154
66 A 5 2 1. 13 0.154
67 A 5 2 1. 13 0.154
68 A 5 2 1. 13 0.154
69 A 5 3 1. 13 0.231
70 A 4 3 1. 13 0.231
71 A 3 3 1. 11 0.273
72 A 2 2 1. 9 0.222
73 A 5 3 1. 13 0.231
74 A 5 4 1. 13 0.308
75 A 5 4 1. 13 0.308
76 A 5 3 1. 13 0.231
77 A 5 2 1. 13 0.154
78 A 1 1 1. 13 0.077
79 A 2 2 1. 13 0.154
80 A 3 2 1. 13 0.154
81 A 4 2 1.65 13 0.154
82 A 5 2 1. 13 0.154
83 A 5 2 1. 13 0.154
84 A 3 3 1. 11 0.273
85 A 1 1 1. 13 0.077
86 A 5 4 1. 13 0.308
87 A 4 4 1. 13 0.308
88 A 3 3 1. 11 0.273
89 A 2 2 1. 9 0.222
90 A 4 3 1. 13 0.231
91 A 5 4 1. 13 0.308
92 A 6 4 1. 13 0.308
93 A 2 2 1. 13 0.154
94 A 6 5 1. 13 0.385
95 A 5 5 1. 13 0.385
96 A 4 4 1. 13 0.308
97 A 3 3 1. 11 0.273
98 A 2 2 1. 9 0.222
99 A 5 4 1. 13 0.308
100 A 6 5 1. 13 0.385
101 A 7 5 1. 13 0.385
102 A 3 2 1. 13 0.154
103 A 6 5 1. 13 0.385
104 A 5 4 1. 13 0.308
105 A 4 3 1. 13 0.231
106 A 3 3 1. 11 0.273
107 A 2 2 1. 9 0.222
108 A 6 4 1. 13 0.308
109 A 7 5 1. 13 0.385
110 A 8 5 1. 13 0.385
111 A 6 3 1. 15 0.2
112 A 5 3 1. 15 0.2
113 A 4 3 1. 15 0.2
114 A 3 3 1. 13 0.231
115 A 2 2 1. 11 0.182
116 A 2 2 1. 15 0.133
117 A 2 2 1. 15 0.133
118 A 4 3 1. 15 0.2
119 A 6 3 1. 15 0.2
120 A 6 3 1. 15 0.2
121 A 5 3 1. 15 0.2
122 A 4 3 1. 15 0.2
123 A 3 3 1. 13 0.231
124 A 2 2 1. 11 0.182
125 A 3 2 1. 15 0.133
126 A 3 3 1. 15 0.2
127 A 3 2 1. 15 0.133
128 A 5 3 1. 15 0.2
129 A 6 3 1. 15 0.2
130 A 5 3 1. 15 0.2
131 A 4 3 1. 15 0.2
132 A 3 3 1. 13 0.231
133 A 2 2 1. 11 0.182
134 A 4 2 1. 15 0.133
135 A 4 3 1. 15 0.2
136 A 4 3 1. 15 0.2
137 A 4 2 1. 15 0.133
138 A 6 3 1. 15 0.2
139 A 8 3 1. 15 0.2
140 A 6 3 1. 15 0.2
141 A 5 3 1. 15 0.2
142 A 4 3 1. 15 0.2
143 A 3 3 1. 13 0.231
144 A 2 2 1. 11 0.182
145 A 1 1 1. 15 0.067
146 A 3 3 1. 15 0.2
147 A 5 3 1. 15 0.2
148 A 7 3 1. 15 0.2
149 A 6 3 1. 15 0.2
150 A 5 3 1. 15 0.2
151 A 4 3 1. 15 0.2
152 A 3 3 1. 13 0.231
153 A 2 2 1. 11 0.182
154 A 2 2 1. 15 0.133
155 A 4 3 1. 15 0.2
156 A 6 3 1. 15 0.2
157 A 8 3 1. 15 0.2
158 A 6 3 1. 15 0.2
159 A 5 3 1. 15 0.2
160 A 4 3 1. 15 0.2
161 A 3 3 1. 13 0.231
162 A 2 2 1. 11 0.182
163 A 3 2 1. 15 0.133
164 A 5 3 1. 15 0.2
165 A 7 3 1. 15 0.2
166 A 9 3 1. 15 0.2
167 A 2 2 1. 13 0.154
168 A 2 2 1. 13 0.154
169 A 2 2 1. 13 0.154
170 A 2 2 1. 13 0.154
171 A 2 2 1. 13 0.154
172 A 2 2 1. 13 0.154
173 A 2 2 1. 13 0.154
174 A 2 2 1. 13 0.154
175 A 3 2 1. 15 0.133
176 A 3 2 1. 15 0.133
177 A 3 2 1. 15 0.133
178 A 3 2 1. 15 0.133
179 A 3 2 1. 15 0.133
180 A 3 2 1. 15 0.133
181 A 3 2 1. 15 0.133
182 A 3 2 1. 15 0.133
183 A 4 2 1. 15 0.133
184 A 4 2 1. 15 0.133
185 A 4 2 1. 15 0.133
186 A 4 2 1. 15 0.133
187 A 4 2 1. 15 0.133
188 A 4 2 1. 15 0.133
189 A 4 2 1. 15 0.133
190 A 4 2 1. 15 0.133
191 A 5 2 1. 15 0.133
192 A 4 2 1. 15 0.133
193 A 3 2 1. 15 0.133
194 A 2 2 1. 15 0.133
195 A 1 1 1. 15 0.067
196 A 2 2 1. 15 0.133
197 A 3 2 1. 15 0.133
198 A 4 2 1. 15 0.133
199 A 5 3 1. 15 0.2
200 A 4 3 1. 15 0.2
201 A 3 3 1. 15 0.2
202 A 2 2 1. 15 0.133
203 A 3 3 1. 15 0.2
204 A 4 3 1. 15 0.2
205 A 5 3 1. 15 0.2
206 A 6 3 1. 15 0.2
207 A 5 3 1. 15 0.2
208 A 4 3 1. 15 0.2
209 A 3 2 1. 15 0.133
210 A 4 3 1. 15 0.2
211 A 5 3 1. 15 0.2
212 A 6 3 1. 15 0.2
213 A 7 3 1. 15 0.2
214 A 8 3 1. 15 0.2
215 A 4 2 1. 17 0.118
216 A 3 2 1. 17 0.118
217 A 2 2 1. 17 0.118
218 A 2 2 1. 17 0.118
219 A 1 1 1. 17 0.059
220 A 2 2 1. 17 0.118
221 A 3 2 1. 17 0.118
222 A 4 2 1. 17 0.118
223 A 5 2 1. 17 0.118
224 A 4 2 1. 17 0.118
225 A 3 2 1. 17 0.118
226 A 3 3 1. 17 0.176
227 A 3 2 1. 17 0.118
228 A 1 1 1. 17 0.059
229 A 2 2 1. 17 0.118
230 A 3 2 1. 17 0.118
231 A 4 2 1. 17 0.118
232 A 5 2 1. 17 0.118
233 A 4 2 1. 17 0.118
234 A 4 3 1. 17 0.176
235 A 4 3 1. 17 0.176
236 A 4 2 1. 17 0.118
237 A 1 1 1. 17 0.059
238 A 2 2 1. 17 0.118
239 A 3 2 1. 17 0.118
240 A 4 2 1. 17 0.118
241 A 4 2 1. 17 0.118
242 A 3 2 1. 17 0.118
243 A 2 2 1. 17 0.118
244 A 1 1 1. 17 0.059
245 A 1 1 1. 17 0.059
246 A 2 2 1. 17 0.118
247 A 3 2 1. 17 0.118
248 A 4 2 1. 17 0.118
249 A 5 3 1. 17 0.176
250 A 4 3 1. 17 0.176
251 A 3 3 1. 17 0.176
252 A 2 2 1. 17 0.118
253 A 1 1 1. 17 0.059
254 A 2 2 1. 17 0.118
255 A 3 2 1. 17 0.118
256 A 4 2 1. 17 0.118
257 A 5 3 1. 17 0.176
258 A 4 3 1. 17 0.176
259 A 3 2 1. 17 0.118
260 A 1 1 1. 17 0.059
261 A 2 2 1. 17 0.118
262 A 3 2 1. 17 0.118
263 A 4 2 1. 17 0.118
264 A 5 2 1. 17 0.118
265 A 1 1 1. 13 0.077
266 A 6 3 1. 13 0.231
267 A 5 3 1. 13 0.231
268 A 4 3 1. 13 0.231
269 A 3 3 1. 11 0.273
270 A 2 2 1. 9 0.222
271 A 1 1 1. 13 0.077
272 A 2 2 1. 13 0.154
273 A 3 2 1. 13 0.154
274 A 2 2 1. 11 0.182
275 A 2 2 1. 11 0.182
276 A 2 2 1. 9 0.222
277 A 2 2 1. 7 0.286
278 A 2 2 1. 11 0.182
279 A 2 2 1. 11 0.182
280 A 2 2 1. 11 0.182
281 A 6 4 1. 3 1.333
282 A 8 5 1. 5 1.
283 A 10 6 1. 7 0.857
284 A 11 6 1. 15 0.4
285 A 9 5 1. 13 0.385
286 A 7 4 1. 11 0.364
287 A 0 0 0. 0 0.
288 A 8 7 1. 16 0.438
289 A 7 7 1. 16 0.438
290 A 6 6 1. 14 0.429
291 A 5 5 1. 12 0.417
292 A 0 0 0. 0 0.
293 A 8 7 1. 19 0.368
294 A 7 7 1. 19 0.368
295 A 6 6 1. 17 0.353
296 A 5 5 1. 15 0.333
297 A 0 0 0. 0 0.
298 A 11 6 1. 15 0.4
299 A 9 5 1. 13 0.385
300 A 7 4 1. 11 0.364
301 A 0 0 0. 0 0.
302 A 8 7 1. 16 0.438
303 A 7 7 1. 16 0.438
304 A 6 6 1. 14 0.429
305 A 5 5 1. 12 0.417
306 A 0 0 0. 0 0.
307 A 8 7 1. 19 0.368
308 A 7 7 1. 19 0.368
309 A 6 6 1. 17 0.353
310 A 5 5 1. 15 0.333
311 A 0 0 0. 0 0.
312 A 12 6 1. 15 0.4
313 A 10 6 1. 15 0.4
314 A 8 5 1. 13 0.385
315 A 6 4 1. 7 0.571
316 A 0 0 0. 0 0.
317 A 11 6 1. 15 0.4
318 A 9 5 1. 13 0.385
319 A 7 4 1. 11 0.364
320 A 0 0 0. 0 0.
321 A 7 7 1. 20 0.35
322 A 6 6 1. 18 0.333
323 A 5 5 1. 16 0.312
324 A 0 0 0. 0 0.
325 A 7 7 1. 21 0.333
326 A 6 6 1. 19 0.316
327 A 5 5 1. 17 0.294
328 A 0 0 0. 0 0.
329 A 12 6 1. 15 0.4
330 A 10 6 1. 15 0.4
331 A 8 5 1. 13 0.385
332 A 6 4 1. 7 0.571
333 A 0 0 0. 0 0.
334 A 11 6 1. 15 0.4
335 A 9 5 1. 13 0.385
336 A 7 4 1. 11 0.364
337 A 0 0 0. 0 0.
338 A 7 7 1. 20 0.35
339 A 6 6 1. 18 0.333
340 A 5 5 1. 16 0.312
341 A 0 0 0. 0 0.
342 A 7 7 1. 21 0.333
343 A 6 6 1. 19 0.316
344 A 5 5 1. 17 0.294
345 A 0 0 0. 0 0.
346 A 2 2 1. 4 0.5
347 A 7 4 1. 6 0.667
348 A 9 5 1. 8 0.625
349 A 2 2 1. 8 0.25
350 A 7 4 1. 10 0.4
351 A 9 5 1. 12 0.417
352 A 6 6 1. 12 0.5
353 A 9 5 1. 14 0.357
354 A 11 6 1. 16 0.375
355 A 8 7 1. 20 0.35
356 A 5 5 1. 20 0.25
357 A 3 2 1. 20 0.1
358 A 3 2 1. 20 0.1
359 A 5 5 1. 20 0.25
360 A 8 7 1. 20 0.35
361 A 11 8 1. 24 0.333

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