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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, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { }

C grade: { }

F grade: { 347}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 34, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 68, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 101, 103, 135, 136, 137, 138, 141, 142, 147, 148, 149, 150, 151, 153, 154, 155, 156, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 171, 172, 173, 179, 183, 184, 190, 195, 196, 211, 219, 220, 221, 222, 223, 224, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 271, 272, 273, 274, 275, 276, 277, 278, 279, 282, 283, 284, 285, 288, 289, 290, 291, 292, 296, 297, 301, 302, 303, 304, 309, 310, 311, 318, 319, 324, 325, 326, 333, 335, 336, 340, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 29, 30, 31, 35, 36, 49, 50, 54, 64, 65, 66, 67, 69, 70, 79, 80, 81, 84, 85, 97, 98, 99, 100, 102, 201, 226, 227, 229, 230, 231, 232, 280, 281, 286, 287, 294, 295, 298, 299, 300, 307, 308, 320, 321, 322, 327, 328, 329, 330, 331, 337, 338, 339, 347 }

C grade: { 14, 15, 16, 17, 18, 32, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 131, 133, 134, 139, 140, 143, 144, 145, 146, 152, 157, 158, 169, 170, 174, 175, 176, 177, 178, 180, 181, 182, 185, 186, 187, 188, 189, 191, 192, 193, 194, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 267, 268, 269, 270, 293, 305, 306, 312, 313, 314, 315, 316, 317, 323, 334, 341, 342, 343 }

F grade: { 127, 128, 129, 130, 132, 208, 209, 210, 212, 213, 214, 215, 216, 217, 218, 225, 228, 250, 251, 252, 253, 254, 255, 332}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 56, 57, 58, 59, 60, 61, 62, 63, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 101, 102, 103, 137, 138, 149, 150, 161, 162, 173, 184, 185, 190, 197, 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, 297, 298, 300, 301, 302, 303, 304, 305, 306, 309, 310, 311, 320, 324, 328, 333, 337, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 20, 22, 38, 52, 53, 54, 55, 64, 65, 66, 67, 79, 80, 81, 96, 97, 98, 135, 136, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 186, 187, 188, 189, 191, 192, 193, 194, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 256, 257, 258, 294, 295, 296, 299, 307, 308, 312, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 325, 326, 327, 329, 330, 331, 332, 334, 335, 336, 338, 339, 340, 341, 342, 343 }

C grade: { 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, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 }

F grade: { 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, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

2.1.4 Maxima

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, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 100, 101, 102, 103, 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, 299, 300, 301, 302, 303, 304, 305, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365

B grade: { 64, 65, 66, 67, 79, 80, 81, 96, 97, 98, 99, 306 }

C grade: { }

F grade: { 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, 294, 295, 296, 297, 298, 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, 353, 354, 355, 356, 357 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 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, 135, 136, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 153, 154, 155, 157, 158, 159, 160, 161, 162, 165, 166, 167, 169, 170, 171, 172, 177, 178, 179, 183, 184, 189, 190, 191, 195, 201, 202, 203, 207, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 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, 294, 295, 296, 297, 299, 300, 301, 302, 303, 304, 308, 310, 318, 319, 320, 326, 327, 335, 336, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 9, 13, 17, 18, 28, 46, 138, 150, 151, 152, 156, 163, 164, 168, 173, 185, 196, 197, 266, 293, 298, 305, 306, 307, 309, 311, 321, 322, 328, 329, 330, 337, 338 }

C grade: { }

F grade: { 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, 174, 175, 176, 180, 181, 182, 186, 187, 188, 192, 193, 194, 198, 199, 200, 204, 205, 206, 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, 312, 313, 314, 315, 316, 317, 323, 324, 325, 331, 332, 333, 334, 339, 340, 341, 342, 343, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 19, 20, 21, 22, 23, 37, 38, 39, 40, 41, 60, 75, 90, 91, 256, 257, 258, 259, 271, 272, 273, 274, 275, 290, 349, 350, 351, 359, 363, 364 }

B grade: { }

C grade: { }

F grade: { 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 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, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 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, 352, 353, 354, 355, 356, 357, 358, 360, 361, 362, 365 }

2.1.7 Giac

A grade: { 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 60, 61, 62, 63, 64, 65, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 135, 136, 137, 138, 139, 140, 147, 148, 149, 150, 151, 152, 159, 160, 161, 162, 163, 164, 171, 175, 176, 180, 181, 182, 183, 186, 188, 192, 193, 194, 200, 204, 205, 206, 260, 267, 276, 279, 282, 291, 292, 297, 298, 309, 310, 311, 348, 349, 350, 351, 352, 358, 359, 360, 361, 362, 363, 364, 365 }

B grade: { 1, 2, 3, 4, 5, 6, 7, 13, 20, 21, 22, 23, 25, 38, 39, 40, 41, 42, 43, 44, 57, 58, 59, 66, 67, 71, 72, 73, 81, 87, 88, 89, 157, 158, 170, 172, 173, 174, 184, 185, 187, 189, 190, 191, 195, 196, 197, 198, 199, 201, 202, 203, 256, 257, 258, 259, 261, 262, 263, 264, 265, 266, 268, 269, 270, 271, 272, 273, 274, 275, 277, 278, 280, 281, 283, 284, 285, 286, 287, 288, 289, 290, 293, 294, 295, 296, 299, 301, 302, 303, 304, 305, 306, 307, 308, 320, 327, 328 }

C grade: { }

F grade: { 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, 141, 142, 143, 144, 145, 146, 153, 154, 155, 156, 165, 166, 167, 168, 169, 177, 178, 179, 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, 300, 312, 313, 314, 315, 316, 317, 318, 319, 321, 322, 323, 324, 325, 326, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 353, 354, 355, 356, 357 }

2.2 Detailed conclusion table per each integral for all CAS systems

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column normalized size is defined as \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 134 273 157 362 184 396
normalized size 1 1. 0.89 1.81 1.04 2.4 1.22 2.62
time (sec) N/A 0.072 0.458 0.052 1.08 1.09 53.389 17.811
Problem 2 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 118 118 106 216 127 284 148 333
normalized size 1 1. 0.9 1.83 1.08 2.41 1.25 2.82
time (sec) N/A 0.062 0.442 0.045 1.166 1. 15.023 8.044
Problem 3 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 87 87 82 161 97 216 112 271
normalized size 1 1. 0.94 1.85 1.11 2.48 1.29 3.11
time (sec) N/A 0.049 0.307 0.042 1.071 1.021 25.512 3.838
Problem 4 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 57 57 55 104 68 149 76 209
normalized size 1 1. 0.96 1.82 1.19 2.61 1.33 3.67
time (sec) N/A 0.039 0.111 0.039 1.168 1.028 1.251 2.015
Problem 5 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 25 25 25 25 35 80 37 143
normalized size 1 1. 1. 1. 1.4 3.2 1.48 5.72
time (sec) N/A 0.019 0.018 0.014 1.148 0.697 0.424 1.41
Problem 6 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 16 16 29 29 19 46 0 78
normalized size 1 1. 1.81 1.81 1.19 2.88 0. 4.88
time (sec) N/A 0.02 0.025 0.042 1.144 0.848 0. 1.411
Problem 7 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 57 57 114 60 57 186 0 139
normalized size 1 1. 2. 1.05 1. 3.26 0. 2.44
time (sec) N/A 0.044 0.803 0.075 1.184 0.808 0. 1.489
Problem 8 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 95 95 127 93 116 402 0 201
normalized size 1 1. 1.34 0.98 1.22 4.23 0. 2.12
time (sec) N/A 0.064 0.539 0.073 1.195 0.907 0. 1.496
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 165 124 170 635 0 266
normalized size 1 1. 1.24 0.93 1.28 4.77 0. 2.
time (sec) N/A 0.082 0.378 0.087 1.078 1.002 0. 1.629
Problem 10 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 129 129 115 227 221 466 0 235
normalized size 1 1. 0.89 1.76 1.71 3.61 0. 1.82
time (sec) N/A 0.129 1.748 0.046 1.711 1.032 0. 12.009
Problem 11 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 95 178 181 377 0 197
normalized size 1 1. 0.93 1.75 1.77 3.7 0. 1.93
time (sec) N/A 0.094 1.235 0.046 1.708 1.058 0. 4.619
Problem 12 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 73 73 75 127 138 302 0 159
normalized size 1 1. 1.03 1.74 1.89 4.14 0. 2.18
time (sec) N/A 0.062 0.39 0.04 1.73 0.965 0. 2.562
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 60 78 88 234 0 119
normalized size 1 1. 1.33 1.73 1.96 5.2 0. 2.64
time (sec) N/A 0.034 0.029 0.032 1.727 0.905 0. 1.758
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 43 35 42 82 0 35
normalized size 1 1. 1.65 1.35 1.62 3.15 0. 1.35
time (sec) N/A 0.024 0.029 0.043 1.75 0.896 0. 1.325
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 62 86 80 177 0 76
normalized size 1 1. 1.13 1.56 1.45 3.22 0. 1.38
time (sec) N/A 0.052 0.039 0.059 1.741 0.906 0. 1.46
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 79 129 107 356 0 112
normalized size 1 1. 0.94 1.54 1.27 4.24 0. 1.33
time (sec) N/A 0.081 0.05 0.067 1.658 0.987 0. 1.37
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 92 162 135 551 0 153
normalized size 1 1. 0.83 1.46 1.22 4.96 0. 1.38
time (sec) N/A 0.114 0.05 0.077 1.79 0.897 0. 1.381
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 111 205 161 745 0 189
normalized size 1 1. 0.79 1.46 1.15 5.32 0. 1.35
time (sec) N/A 0.145 0.064 0.136 1.696 0.908 0. 1.512
Problem 19 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 192 192 140 327 201 424 314 462
normalized size 1 1. 0.73 1.7 1.05 2.21 1.64 2.41
time (sec) N/A 0.099 0.508 0.053 1.14 1.079 109.844 10.821
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 110 264 149 312 252 394
normalized size 1 1. 0.83 2. 1.13 2.36 1.91 2.98
time (sec) N/A 0.079 0.304 0.052 1.203 1. 35.879 16.048
Problem 21 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 120 120 125 203 131 266 189 327
normalized size 1 1. 1.04 1.69 1.09 2.22 1.58 2.72
time (sec) N/A 0.073 0.409 0.05 1.229 0.951 11.612 3.863
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 83 140 78 163 126 259
normalized size 1 1. 1.28 2.15 1.2 2.51 1.94 3.98
time (sec) N/A 0.056 0.182 0.044 1.143 1.185 3.544 2.071
Problem 23 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 48 48 51 46 58 127 60 192
normalized size 1 1. 1.06 0.96 1.21 2.65 1.25 4.
time (sec) N/A 0.036 0.097 0.015 1.19 1.134 0.938 1.412
Problem 24 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 35 35 29 34 42 89 0 86
normalized size 1 1. 0.83 0.97 1.2 2.54 0. 2.46
time (sec) N/A 0.04 0.038 0.05 1.117 1.032 0. 1.464
Problem 25 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 40 40 56 51 46 113 0 150
normalized size 1 1. 1.4 1.27 1.15 2.82 0. 3.75
time (sec) N/A 0.05 0.066 0.066 1.121 1.196 0. 1.474
Problem 26 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 85 85 86 87 97 320 0 186
normalized size 1 1. 1.01 1.02 1.14 3.76 0. 2.19
time (sec) N/A 0.067 0.267 0.08 1.104 1.135 0. 1.481
Problem 27 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 127 127 114 122 147 481 0 251
normalized size 1 1. 0.9 0.96 1.16 3.79 0. 1.98
time (sec) N/A 0.087 0.227 0.081 1.174 0.897 0. 1.642
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 146 159 223 815 0 321
normalized size 1 1. 0.86 0.94 1.32 4.82 0. 1.9
time (sec) N/A 0.111 0.332 0.095 1.198 0.97 0. 1.713
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 337 226 204 446 0 243
normalized size 1 1. 2.09 1.4 1.27 2.77 0. 1.51
time (sec) N/A 0.179 1.459 0.051 1.772 0.913 0. 4.758
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 558 169 161 360 0 200
normalized size 1 1. 4.69 1.42 1.35 3.03 0. 1.68
time (sec) N/A 0.139 5.403 0.046 1.766 1.03 0. 2.713
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 773 112 112 284 0 134
normalized size 1 1. 10.74 1.56 1.56 3.94 0. 1.86
time (sec) N/A 0.109 6.31 0.038 1.832 0.966 0. 1.826
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 46 50 65 96 0 42
normalized size 1 1. 1.31 1.43 1.86 2.74 0. 1.2
time (sec) N/A 0.072 0.038 0.047 1.669 0.898 0. 1.367
Problem 33 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 69 112 112 104 190 0 68
normalized size 1 1. 1.62 1.62 1.51 2.75 0. 0.99
time (sec) N/A 0.111 0.252 0.068 1.733 0.94 0. 1.506
Problem 34 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 107 107 194 155 131 298 0 108
normalized size 1 1. 1.81 1.45 1.22 2.79 0. 1.01
time (sec) N/A 0.128 0.776 0.067 1.787 0.852 0. 1.482
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 312 188 158 435 0 151
normalized size 1 1. 2.24 1.35 1.14 3.13 0. 1.09
time (sec) N/A 0.141 1.073 0.078 1.767 1.077 0. 1.499
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 428 231 185 694 0 196
normalized size 1 1. 2.39 1.29 1.03 3.88 0. 1.09
time (sec) N/A 0.155 1.88 0.087 2.109 0.948 0. 1.546
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 210 210 214 351 219 481 439 495
normalized size 1 1. 1.02 1.67 1.04 2.29 2.09 2.36
time (sec) N/A 0.103 0.73 0.063 1.641 1.059 115.078 14.247
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 110 288 149 308 350 428
normalized size 1 1. 0.8 2.1 1.09 2.25 2.55 3.12
time (sec) N/A 0.077 0.392 0.057 1.41 1.064 60.509 9.106
Problem 39 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 138 138 140 227 149 308 255 360
normalized size 1 1. 1.01 1.64 1.08 2.23 1.85 2.61
time (sec) N/A 0.077 0.42 0.051 1.673 1.02 31.584 3.896
Problem 40 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 99 99 92 164 113 232 165 293
normalized size 1 1. 0.93 1.66 1.14 2.34 1.67 2.96
time (sec) N/A 0.067 0.299 0.048 1.323 1.016 9.803 2.073
Problem 41 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 66 66 64 62 78 162 76 225
normalized size 1 1. 0.97 0.94 1.18 2.45 1.15 3.41
time (sec) N/A 0.039 0.157 0.015 1.482 0.945 3.918 1.436
Problem 42 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 48 48 36 47 58 155 0 196
normalized size 1 1. 0.75 0.98 1.21 3.23 0. 4.08
time (sec) N/A 0.046 0.088 0.046 1.502 1.198 0. 1.267
Problem 43 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 40 40 46 51 46 116 0 147
normalized size 1 1. 1.15 1.27 1.15 2.9 0. 3.68
time (sec) N/A 0.05 0.127 0.07 1.428 1.231 0. 1.408
Problem 44 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 61 61 72 68 80 213 0 186
normalized size 1 1. 1.18 1.11 1.31 3.49 0. 3.05
time (sec) N/A 0.059 0.17 0.077 1.373 1.02 0. 1.51
Problem 45 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 107 107 102 104 130 451 0 223
normalized size 1 1. 0.95 0.97 1.21 4.21 0. 2.08
time (sec) N/A 0.076 0.669 0.087 1.217 1.196 0. 1.61
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 130 141 192 706 0 288
normalized size 1 1. 0.87 0.95 1.29 4.74 0. 1.93
time (sec) N/A 0.098 0.335 0.096 1.614 1.226 0. 1.446
Problem 47 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 237 237 363 250 354 501 0 265
normalized size 1 1. 1.53 1.05 1.49 2.11 0. 1.12
time (sec) N/A 0.299 2.066 0.056 1.752 1.312 0. 4.853
Problem 48 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 169 169 303 193 284 404 0 221
normalized size 1 1. 1.79 1.14 1.68 2.39 0. 1.31
time (sec) N/A 0.224 1.404 0.049 1.682 1.238 0. 2.713
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 230 137 198 293 0 178
normalized size 1 1. 2.35 1.4 2.02 2.99 0. 1.82
time (sec) N/A 0.158 0.835 0.041 1.898 1.188 0. 1.663
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 109 68 115 216 0 89
normalized size 1 1. 2.22 1.39 2.35 4.41 0. 1.82
time (sec) N/A 0.097 0.236 0.05 1.777 1.2 0. 1.482
Problem 51 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 69 112 125 122 193 0 68
normalized size 1 1. 1.62 1.81 1.77 2.8 0. 0.99
time (sec) N/A 0.132 0.233 0.065 1.792 1.115 0. 1.508
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 112 232 165 298 0 89
normalized size 1 1. 1.05 2.17 1.54 2.79 0. 0.83
time (sec) N/A 0.164 0.663 0.075 1.76 1.106 0. 1.431
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 252 293 205 402 0 130
normalized size 1 1. 1.79 2.08 1.45 2.85 0. 0.92
time (sec) N/A 0.178 0.987 0.08 1.678 1.138 0. 1.586
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 370 364 246 605 0 173
normalized size 1 1. 2.07 2.03 1.37 3.38 0. 0.97
time (sec) N/A 0.199 1.37 0.086 1.694 1.172 0. 1.556
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 268 425 286 805 0 217
normalized size 1 1. 1.26 2. 1.34 3.78 0. 1.02
time (sec) N/A 0.221 6.019 0.145 1.65 1.226 0. 1.589
Problem 56 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 135 135 137 125 122 266 0 331
normalized size 1 1. 1.01 0.93 0.9 1.97 0. 2.45
time (sec) N/A 0.078 0.561 0.089 1.122 1.239 0. 17.637
Problem 57 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 97 97 103 93 95 201 0 271
normalized size 1 1. 1.06 0.96 0.98 2.07 0. 2.79
time (sec) N/A 0.068 0.274 0.074 1.102 1.163 0. 8.726
Problem 58 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 66 66 65 62 68 142 0 212
normalized size 1 1. 0.98 0.94 1.03 2.15 0. 3.21
time (sec) N/A 0.057 0.198 0.065 1.182 1.175 0. 3.779
Problem 59 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 28 28 21 30 38 78 0 150
normalized size 1 1. 0.75 1.07 1.36 2.79 0. 5.36
time (sec) N/A 0.048 0.066 0.046 1.146 1.155 0. 1.979
Problem 60 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 19 33 23 49 41 42
normalized size 1 1. 1.12 1.94 1.35 2.88 2.41 2.47
time (sec) N/A 0.026 0.018 0.02 1.153 1.112 4.074 1.321
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 61 61 67 54 63 182 0 116
normalized size 1 1. 1.1 0.89 1.03 2.98 0. 1.9
time (sec) N/A 0.056 0.12 0.067 1.253 1.161 0. 1.414
Problem 62 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 103 103 107 90 123 389 0 212
normalized size 1 1. 1.04 0.87 1.19 3.78 0. 2.06
time (sec) N/A 0.076 0.634 0.067 1.127 1.225 0. 1.53
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 135 126 176 610 0 285
normalized size 1 1. 0.93 0.87 1.21 4.21 0. 1.97
time (sec) N/A 0.098 0.538 0.068 1.177 1.206 0. 1.413
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 301 312 444 354 0 201
normalized size 1 1. 2.87 2.97 4.23 3.37 0. 1.91
time (sec) N/A 0.144 0.902 0.093 1.743 1.23 0. 12.276
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 78 78 893 228 333 288 0 166
normalized size 1 1. 11.45 2.92 4.27 3.69 0. 2.13
time (sec) N/A 0.109 6.426 0.076 1.743 1.201 0. 5.199
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 241 144 220 224 0 130
normalized size 1 1. 4.92 2.94 4.49 4.57 0. 2.65
time (sec) N/A 0.077 0.855 0.063 1.699 1.191 0. 2.513
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 60 59 105 93 0 68
normalized size 1 1. 2.86 2.81 5. 4.43 0. 3.24
time (sec) N/A 0.05 0.09 0.056 1.708 1.172 0. 1.559
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 100 74 126 170 0 89
normalized size 1 1. 1.64 1.21 2.07 2.79 0. 1.46
time (sec) N/A 0.097 0.768 0.056 1.736 1.086 0. 1.335
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 254 113 185 342 0 132
normalized size 1 1. 2.89 1.28 2.1 3.89 0. 1.5
time (sec) N/A 0.127 0.81 0.068 1.714 1.131 0. 1.364
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 359 150 239 533 0 171
normalized size 1 1. 3.07 1.28 2.04 4.56 0. 1.46
time (sec) N/A 0.162 1.072 0.067 1.698 1.169 0. 1.322
Problem 71 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 120 120 125 110 108 234 0 301
normalized size 1 1. 1.04 0.92 0.9 1.95 0. 2.51
time (sec) N/A 0.074 0.518 0.084 1.15 1.225 0. 11.425
Problem 72 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 65 65 83 63 68 147 0 243
normalized size 1 1. 1.28 0.97 1.05 2.26 0. 3.74
time (sec) N/A 0.058 0.202 0.075 1.13 1.189 0. 7.426
Problem 73 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 48 48 51 46 54 119 0 184
normalized size 1 1. 1.06 0.96 1.12 2.48 0. 3.83
time (sec) N/A 0.05 0.114 0.058 1.175 1.204 0. 3.52
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 33 33 30 34 42 85 0 45
normalized size 1 1. 0.91 1.03 1.27 2.58 0. 1.36
time (sec) N/A 0.045 0.06 0.072 1.122 1.198 0. 1.913
Problem 75 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 56 50 47 113 177 77
normalized size 1 1. 1.56 1.39 1.31 3.14 4.92 2.14
time (sec) N/A 0.035 0.132 0.024 1.131 1.122 29.801 1.269
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 81 81 83 72 100 297 0 158
normalized size 1 1. 1.02 0.89 1.23 3.67 0. 1.95
time (sec) N/A 0.061 0.186 0.076 1.191 1.199 0. 1.326
Problem 77 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 123 123 121 108 149 444 0 251
normalized size 1 1. 0.98 0.88 1.21 3.61 0. 2.04
time (sec) N/A 0.087 0.37 0.077 1.149 1.211 0. 1.39
Problem 78 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 165 165 154 144 225 749 0 319
normalized size 1 1. 0.93 0.87 1.36 4.54 0. 1.93
time (sec) N/A 0.111 0.805 0.075 1.157 1.229 0. 1.414
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 495 269 406 323 0 184
normalized size 1 1. 4.16 2.26 3.41 2.71 0. 1.55
time (sec) N/A 0.19 5.589 0.089 1.756 1.192 0. 10.34
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 767 185 265 259 0 134
normalized size 1 1. 10.65 2.57 3.68 3.6 0. 1.86
time (sec) N/A 0.149 6.294 0.076 1.797 1.306 0. 4.877
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 177 102 166 177 0 107
normalized size 1 1. 5.21 3. 4.88 5.21 0. 3.15
time (sec) N/A 0.065 0.487 0.062 1.79 1.18 0. 2.487
Problem 82 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 35 42 37 66 99 0 39
normalized size 1 1.06 1.27 1.12 2. 3. 0. 1.18
time (sec) N/A 0.112 0.022 0.069 1.766 1.126 0. 1.516
Problem 83 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 107 107 149 94 153 277 0 113
normalized size 1 1. 1.39 0.88 1.43 2.59 0. 1.06
time (sec) N/A 0.174 1.34 0.062 1.74 1.1 0. 1.391
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 314 132 212 402 0 154
normalized size 1 1. 2.26 0.95 1.53 2.89 0. 1.11
time (sec) N/A 0.191 0.986 0.074 1.978 1.262 0. 1.307
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 802 170 266 651 0 194
normalized size 1 1. 4.48 0.95 1.49 3.64 0. 1.08
time (sec) N/A 0.208 6.571 0.074 1.742 1.262 0. 1.329
Problem 86 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 137 137 140 127 122 269 0 332
normalized size 1 1. 1.02 0.93 0.89 1.96 0. 2.42
time (sec) N/A 0.077 0.316 0.097 1.086 1.249 0. 36.512
Problem 87 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 99 99 93 93 95 207 0 273
normalized size 1 1. 0.94 0.94 0.96 2.09 0. 2.76
time (sec) N/A 0.067 0.385 0.084 1.158 1.269 0. 13.904
Problem 88 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 65 65 64 63 68 144 0 213
normalized size 1 1. 0.98 0.97 1.05 2.22 0. 3.28
time (sec) N/A 0.057 0.184 0.075 1.077 1.185 0. 7.97
Problem 89 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 46 46 36 46 61 144 0 151
normalized size 1 1. 0.78 1. 1.33 3.13 0. 3.28
time (sec) N/A 0.054 0.114 0.071 1.166 1.23 0. 3.677
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 33 51 49 112 457 76
normalized size 1 1. 0.94 1.46 1.4 3.2 13.06 2.17
time (sec) N/A 0.051 0.062 0.092 1.063 1.116 27.452 1.846
Problem 91 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 56 56 79 68 81 204 411 117
normalized size 1 1. 1.41 1.21 1.45 3.64 7.34 2.09
time (sec) N/A 0.041 0.13 0.027 1.12 1.106 27.845 1.326
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 101 101 97 90 132 419 0 193
normalized size 1 1. 0.96 0.89 1.31 4.15 0. 1.91
time (sec) N/A 0.069 0.35 0.112 1.15 1.188 0. 1.331
Problem 93 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 143 143 140 126 197 652 0 286
normalized size 1 1. 0.98 0.88 1.38 4.56 0. 2.
time (sec) N/A 0.097 0.634 0.088 1.186 1.2 0. 1.424
Problem 94 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 185 185 169 162 254 879 0 352
normalized size 1 1. 0.91 0.88 1.37 4.75 0. 1.9
time (sec) N/A 0.124 1.182 0.082 1.147 1.295 0. 1.366
Problem 95 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 237 237 362 396 579 446 0 236
normalized size 1 1. 1.53 1.67 2.44 1.88 0. 1.
time (sec) N/A 0.363 1.323 0.115 1.598 1.292 0. 69.781
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 303 312 463 362 0 201
normalized size 1 1. 1.79 1.85 2.74 2.14 0. 1.19
time (sec) N/A 0.268 0.852 0.102 1.715 1.252 0. 42.399
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 230 228 347 265 0 166
normalized size 1 1. 2.32 2.3 3.51 2.68 0. 1.68
time (sec) N/A 0.204 0.729 0.088 1.646 1.196 0. 13.369
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 241 144 231 234 0 131
normalized size 1 1. 3.65 2.18 3.5 3.55 0. 1.98
time (sec) N/A 0.091 0.906 0.08 1.677 1.184 0. 5.852
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 48 117 76 132 225 0 85
normalized size 1 1.04 2.54 1.65 2.87 4.89 0. 1.85
time (sec) N/A 0.141 0.259 0.082 1.706 1.151 0. 2.678
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 71 125 56 97 200 0 68
normalized size 1 1.18 2.08 0.93 1.62 3.33 0. 1.13
time (sec) N/A 0.173 0.38 0.082 1.636 1.096 0. 1.654
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 143 143 252 113 180 377 0 134
normalized size 1 1. 1.76 0.79 1.26 2.64 0. 0.94
time (sec) N/A 0.236 1.273 0.066 1.642 1.244 0. 1.48
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 366 151 239 566 0 177
normalized size 1 1. 2.07 0.85 1.35 3.2 0. 1.
time (sec) N/A 0.253 1.173 0.079 1.616 1.488 0. 1.447
Problem 103 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 215 215 394 189 294 757 0 216
normalized size 1 1. 1.83 0.88 1.37 3.52 0. 1.
time (sec) N/A 0.278 3.59 0.082 1.556 1.596 0. 1.568
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 310 186 1495 0 0 0 0
normalized size 1 1. 0.6 4.82 0. 0. 0. 0.
time (sec) N/A 0.32 2.232 0.296 0. 0. 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 282 214 688 0 0 0 0
normalized size 1 1. 0.76 2.44 0. 0. 0. 0.
time (sec) N/A 0.274 2.127 0.239 0. 0. 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 272 182 1405 0 0 0 0
normalized size 1 1. 0.67 5.17 0. 0. 0. 0.
time (sec) N/A 0.244 1.507 0.28 0. 0. 0. 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 244 244 220 284 0 0 0 0
normalized size 1 1. 0.9 1.16 0. 0. 0. 0.
time (sec) N/A 0.213 1.683 0.243 0. 0. 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 305 305 196 1414 0 0 0 0
normalized size 1 1. 0.64 4.64 0. 0. 0. 0.
time (sec) N/A 0.303 2.607 0.247 0. 0. 0. 0.
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 282 200 658 0 0 0 0
normalized size 1 1. 0.71 2.33 0. 0. 0. 0.
time (sec) N/A 0.275 1.62 0.216 0. 0. 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 346 346 254 1427 0 0 0 0
normalized size 1 1. 0.73 4.12 0. 0. 0. 0.
time (sec) N/A 0.365 2.472 0.269 0. 0. 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 366 366 117 1518 0 0 0 0
normalized size 1 1. 0.32 4.15 0. 0. 0. 0.
time (sec) N/A 0.433 6.118 0.294 0. 0. 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 335 335 257 721 0 0 0 0
normalized size 1 1. 0.77 2.15 0. 0. 0. 0.
time (sec) N/A 0.385 11.823 0.26 0. 0. 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 309 309 106 1480 0 0 0 0
normalized size 1 1. 0.34 4.79 0. 0. 0. 0.
time (sec) N/A 0.336 1.271 0.263 0. 0. 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 278 278 220 655 0 0 0 0
normalized size 1 1. 0.79 2.36 0. 0. 0. 0.
time (sec) N/A 0.303 2.502 0.463 0. 0. 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 310 310 238 1392 0 0 0 0
normalized size 1 1. 0.77 4.49 0. 0. 0. 0.
time (sec) N/A 0.388 7.229 0.24 0. 0. 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 316 316 224 650 0 0 0 0
normalized size 1 1. 0.71 2.06 0. 0. 0. 0.
time (sec) N/A 0.386 4.899 0.226 0. 0. 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 370 370 2820 1429 0 0 0 0
normalized size 1 1. 7.62 3.86 0. 0. 0. 0.
time (sec) N/A 0.456 13.983 0.291 0. 0. 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 330 330 332 734 0 0 0 0
normalized size 1 1. 1.01 2.22 0. 0. 0. 0.
time (sec) N/A 0.419 19.741 0.26 0. 0. 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 326 326 129 1505 0 0 0 0
normalized size 1 1. 0.4 4.62 0. 0. 0. 0.
time (sec) N/A 0.394 12.155 0.248 0. 0. 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 295 295 271 698 0 0 0 0
normalized size 1 1. 0.92 2.37 0. 0. 0. 0.
time (sec) N/A 0.353 50.033 0.259 0. 0. 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 285 285 105 1419 0 0 0 0
normalized size 1 1. 0.37 4.98 0. 0. 0. 0.
time (sec) N/A 0.326 5.138 0.255 0. 0. 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 257 257 1211 319 0 0 0 0
normalized size 1 1. 4.71 1.24 0. 0. 0. 0.
time (sec) N/A 0.292 12.594 0.226 0. 0. 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 315 315 2715 359 0 0 0 0
normalized size 1 1. 8.62 1.14 0. 0. 0. 0.
time (sec) N/A 0.375 7.703 0.239 0. 0. 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 290 290 1253 1269 0 0 0 0
normalized size 1 1. 4.32 4.38 0. 0. 0. 0.
time (sec) N/A 0.346 8.897 0.254 0. 0. 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 359 359 180 2113 0 0 0 0
normalized size 1 1. 0.5 5.89 0. 0. 0. 0.
time (sec) N/A 0.452 12.861 0.245 0. 0. 0. 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 328 328 1299 1896 0 0 0 0
normalized size 1 1. 3.96 5.78 0. 0. 0. 0.
time (sec) N/A 0.417 9.178 0.257 0. 0. 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F(-1)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 372 372 0 1518 0 0 0 0
normalized size 1 1. 0. 4.08 0. 0. 0. 0.
time (sec) N/A 0.492 13.149 0.281 0. 0. 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 339 339 0 721 0 0 0 0
normalized size 1 1. 0. 2.13 0. 0. 0. 0.
time (sec) N/A 0.458 70.431 0.249 0. 0. 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 312 312 0 1504 0 0 0 0
normalized size 1 1. 0. 4.82 0. 0. 0. 0.
time (sec) N/A 0.411 4.306 0.251 0. 0. 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 281 281 0 653 0 0 0 0
normalized size 1 1. 0. 2.32 0. 0. 0. 0.
time (sec) N/A 0.378 3.871 0.259 0. 0. 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 310 310 812 360 0 0 0 0
normalized size 1 1. 2.62 1.16 0. 0. 0. 0.
time (sec) N/A 0.465 6.672 0.251 0. 0. 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 316 316 0 1267 0 0 0 0
normalized size 1 1. 0. 4.01 0. 0. 0. 0.
time (sec) N/A 0.459 15.702 0.252 0. 0. 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 363 363 2792 2117 0 0 0 0
normalized size 1 1. 7.69 5.83 0. 0. 0. 0.
time (sec) N/A 0.525 8.3 0.299 0. 0. 0. 0.
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 365 365 1281 1896 0 0 0 0
normalized size 1 1. 3.51 5.19 0. 0. 0. 0.
time (sec) N/A 0.531 8.787 0.294 0. 0. 0. 0.
Problem 135 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 147 147 102 359 0 810 0 261
normalized size 1 1. 0.69 2.44 0. 5.51 0. 1.78
time (sec) N/A 0.115 0.551 0.268 0. 2.429 0. 5.046
Problem 136 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 99 99 80 221 0 684 0 205
normalized size 1 1. 0.81 2.23 0. 6.91 0. 2.07
time (sec) N/A 0.084 0.157 0.235 0. 1.885 0. 5.126
Problem 137 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 51 51 60 42 0 475 0 111
normalized size 1 1. 1.18 0.82 0. 9.31 0. 2.18
time (sec) N/A 0.045 0.046 0.049 0. 1.885 0. 5.072
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 72 98 0 647 0 117
normalized size 1 1. 0.99 1.34 0. 8.86 0. 1.6
time (sec) N/A 0.071 0.05 0.192 0. 1.702 0. 5.027
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 87 267 0 1118 0 189
normalized size 1 1. 0.66 2.04 0. 8.53 0. 1.44
time (sec) N/A 0.118 0.274 0.26 0. 2.543 0. 5.073
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 102 407 0 1438 0 271
normalized size 1 1. 0.53 2.11 0. 7.45 0. 1.4
time (sec) N/A 0.158 0.302 0.335 0. 2.639 0. 4.746
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 134 566 0 1007 0 0
normalized size 1 1. 0.6 2.55 0. 4.54 0. 0.
time (sec) N/A 0.106 7.286 0.287 0. 1.892 0. 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 110 317 0 890 0 0
normalized size 1 1. 0.69 1.98 0. 5.56 0. 0.
time (sec) N/A 0.095 5.812 0.247 0. 1.801 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 226 210 0 753 0 0
normalized size 1 1. 2.35 2.19 0. 7.84 0. 0.
time (sec) N/A 0.077 3.966 0.197 0. 1.7 0. 0.
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 5512 188 0 1133 0 0
normalized size 1 1. 50.57 1.72 0. 10.39 0. 0.
time (sec) N/A 0.099 23.874 0.228 0. 2.463 0. 0.
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 196 196 5562 381 0 1449 0 0
normalized size 1 1. 28.38 1.94 0. 7.39 0. 0.
time (sec) N/A 0.203 23.694 0.278 0. 2.607 0. 0.
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 280 280 5604 573 0 1781 0 0
normalized size 1 1. 20.01 2.05 0. 6.36 0. 0.
time (sec) N/A 0.271 23.678 0.371 0. 2.867 0. 0.
Problem 147 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 169 169 112 429 0 921 0 298
normalized size 1 1. 0.66 2.54 0. 5.45 0. 1.76
time (sec) N/A 0.136 0.489 0.237 0. 2.079 0. 4.877
Problem 148 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 121 121 92 291 0 782 0 238
normalized size 1 1. 0.76 2.4 0. 6.46 0. 1.97
time (sec) N/A 0.104 0.248 0.204 0. 2.019 0. 4.986
Problem 149 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 57 0 626 0 163
normalized size 1 1. 0.96 0.78 0. 8.58 0. 2.23
time (sec) N/A 0.055 0.137 0.031 0. 1.943 0. 4.696
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 72 101 0 644 0 128
normalized size 1 1. 0.99 1.38 0. 8.82 0. 1.75
time (sec) N/A 0.079 0.057 0.141 0. 1.672 0. 4.71
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 99 258 0 1003 0 167
normalized size 1 1. 0.91 2.37 0. 9.2 0. 1.53
time (sec) N/A 0.107 0.34 0.213 0. 1.765 0. 5.001
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 104 502 0 1555 0 230
normalized size 1 1. 0.61 2.94 0. 9.09 0. 1.35
time (sec) N/A 0.143 0.273 0.283 0. 2.585 0. 5.044
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 147 656 0 1156 0 0
normalized size 1 1. 0.57 2.54 0. 4.48 0. 0.
time (sec) N/A 0.122 8.414 0.259 0. 1.99 0. 0.
Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 123 407 0 987 0 0
normalized size 1 1. 0.63 2.1 0. 5.09 0. 0.
time (sec) N/A 0.11 6.464 0.222 0. 1.829 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 97 300 0 832 0 0
normalized size 1 1. 0.76 2.34 0. 6.5 0. 0.
time (sec) N/A 0.093 5.536 0.183 0. 1.745 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 64 64 102 115 0 684 0 0
normalized size 1 1. 1.59 1.8 0. 10.69 0. 0.
time (sec) N/A 0.071 0.363 0.197 0. 1.966 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 5552 372 0 1403 0 501
normalized size 1 1. 38.56 2.58 0. 9.74 0. 3.48
time (sec) N/A 0.148 23.718 0.234 0. 2.563 0. 7.366
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 226 5592 720 0 1899 0 703
normalized size 1 1. 24.74 3.19 0. 8.4 0. 3.11
time (sec) N/A 0.231 23.667 0.327 0. 2.738 0. 7.915
Problem 159 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 193 193 156 500 0 1056 0 332
normalized size 1 1. 0.81 2.59 0. 5.47 0. 1.72
time (sec) N/A 0.146 0.735 0.316 0. 2.241 0. 4.859
Problem 160 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 145 145 102 362 0 873 0 266
normalized size 1 1. 0.7 2.5 0. 6.02 0. 1.83
time (sec) N/A 0.118 0.583 0.225 0. 2.015 0. 4.819
Problem 161 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 97 97 82 74 0 729 0 203
normalized size 1 1. 0.85 0.76 0. 7.52 0. 2.09
time (sec) N/A 0.065 0.207 0.029 0. 1.988 0. 4.608
Problem 162 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 95 95 83 124 0 782 0 159
normalized size 1 1. 0.87 1.31 0. 8.23 0. 1.67
time (sec) N/A 0.089 0.091 0.149 0. 1.693 0. 4.644
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 115 248 0 1029 0 176
normalized size 1 1. 1.08 2.34 0. 9.71 0. 1.66
time (sec) N/A 0.103 0.265 0.204 0. 1.771 0. 5.709
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 138 376 0 1319 0 198
normalized size 1 1. 0.94 2.56 0. 8.97 0. 1.35
time (sec) N/A 0.127 1.295 0.262 0. 1.794 0. 6.688
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 290 173 747 0 1283 0 0
normalized size 1 1. 0.6 2.58 0. 4.42 0. 0.
time (sec) N/A 0.128 9.977 0.286 0. 2.093 0. 0.
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 149 498 0 1095 0 0
normalized size 1 1. 0.67 2.22 0. 4.89 0. 0.
time (sec) N/A 0.111 7.346 0.23 0. 1.929 0. 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 125 391 0 945 0 0
normalized size 1 1. 0.78 2.44 0. 5.91 0. 0.
time (sec) N/A 0.099 5.757 0.189 0. 1.827 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 124 192 0 693 0 0
normalized size 1 1. 1.88 2.91 0. 10.5 0. 0.
time (sec) N/A 0.071 0.714 0.166 0. 1.995 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 81 214 0 888 0 0
normalized size 1 1. 0.84 2.23 0. 9.25 0. 0.
time (sec) N/A 0.076 0.229 0.279 0. 1.999 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 176 176 5572 542 0 1708 0 657
normalized size 1 1. 31.66 3.08 0. 9.7 0. 3.73
time (sec) N/A 0.184 23.75 0.285 0. 2.67 0. 10.62
Problem 171 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 126 126 88 293 0 759 0 257
normalized size 1 1. 0.7 2.33 0. 6.02 0. 2.04
time (sec) N/A 0.101 0.184 0.239 0. 1.955 0. 12.256
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 66 155 0 625 0 201
normalized size 1 1. 0.85 1.99 0. 8.01 0. 2.58
time (sec) N/A 0.074 0.083 0.207 0. 1.923 0. 10.243
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 44 26 0 359 0 74
normalized size 1 1. 1.42 0.84 0. 11.58 0. 2.39
time (sec) N/A 0.039 0.037 0.04 0. 1.878 0. 9.692
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 57 259 0 0 0 203
normalized size 1 1. 0.62 2.82 0. 0. 0. 2.21
time (sec) N/A 0.086 0.051 0.215 0. 0. 0. 9.354
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 90 504 0 0 0 309
normalized size 1 1. 0.59 3.32 0. 0. 0. 2.03
time (sec) N/A 0.135 0.167 0.274 0. 0. 0. 9.823
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 102 746 0 0 0 400
normalized size 1 1. 0.48 3.49 0. 0. 0. 1.87
time (sec) N/A 0.178 0.255 0.382 0. 0. 0. 10.182
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 189 189 469 480 0 957 0 0
normalized size 1 1. 2.48 2.54 0. 5.06 0. 0.
time (sec) N/A 0.101 19.315 0.261 0. 1.82 0. 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 125 125 238 231 0 832 0 0
normalized size 1 1. 1.9 1.85 0. 6.66 0. 0.
time (sec) N/A 0.084 2.622 0.237 0. 1.763 0. 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 119 116 0 620 0 0
normalized size 1 1. 1.89 1.84 0. 9.84 0. 0.
time (sec) N/A 0.063 0.718 0.162 0. 1.671 0. 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 165 165 5544 374 0 0 0 166
normalized size 1 1. 33.6 2.27 0. 0. 0. 1.01
time (sec) N/A 0.141 23.722 0.232 0. 0. 0. 9.873
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 251 251 5584 722 0 0 0 346
normalized size 1 1. 22.25 2.88 0. 0. 0. 1.38
time (sec) N/A 0.226 23.725 0.304 0. 0. 0. 9.984
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 335 335 5628 1068 0 0 0 522
normalized size 1 1. 16.8 3.19 0. 0. 0. 1.56
time (sec) N/A 0.322 23.598 0.292 0. 0. 0. 10.092
Problem 183 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 100 100 79 224 0 687 0 227
normalized size 1 1. 0.79 2.24 0. 6.87 0. 2.27
time (sec) N/A 0.097 0.144 0.202 0. 1.944 0. 12.077
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 56 81 0 493 0 134
normalized size 1 1. 1.04 1.5 0. 9.13 0. 2.48
time (sec) N/A 0.075 0.07 0.147 0. 1.834 0. 10.177
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 38 45 0 635 0 138
normalized size 1 1. 0.7 0.83 0. 11.76 0. 2.56
time (sec) N/A 0.049 0.027 0.031 0. 1.874 0. 9.821
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 60 376 0 0 0 254
normalized size 1 1. 0.5 3.13 0. 0. 0. 2.12
time (sec) N/A 0.107 0.059 0.194 0. 0. 0. 9.619
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 90 514 0 0 0 387
normalized size 1 1. 0.51 2.92 0. 0. 0. 2.2
time (sec) N/A 0.162 0.14 0.265 0. 0. 0. 9.828
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 99 866 0 0 0 481
normalized size 1 1. 0.42 3.64 0. 0. 0. 2.02
time (sec) N/A 0.205 0.265 0.276 0. 0. 0. 10.064
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 157 157 248 391 0 914 0 456
normalized size 1 1. 1.58 2.49 0. 5.82 0. 2.9
time (sec) N/A 0.097 2.448 0.229 0. 1.825 0. 15.605
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 95 95 162 142 0 778 0 348
normalized size 1 1. 1.71 1.49 0. 8.19 0. 3.66
time (sec) N/A 0.08 4.403 0.202 0. 1.787 0. 12.677
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 85 85 4752 142 0 784 0 302
normalized size 1 1. 55.91 1.67 0. 9.22 0. 3.55
time (sec) N/A 0.086 23.453 0.127 0. 2.036 0. 12.545
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 215 215 5588 542 0 0 0 221
normalized size 1 1. 25.99 2.52 0. 0. 0. 1.03
time (sec) N/A 0.195 23.586 0.238 0. 0. 0. 9.459
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 303 303 5630 732 0 0 0 390
normalized size 1 1. 18.58 2.42 0. 0. 0. 1.29
time (sec) N/A 0.282 23.679 0.326 0. 0. 0. 10.069
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 387 387 5672 1240 0 0 0 559
normalized size 1 1. 14.66 3.2 0. 0. 0. 1.44
time (sec) N/A 0.368 23.623 0.379 0. 0. 0. 10.223
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 69 155 0 629 0 189
normalized size 1 1. 0.88 1.99 0. 8.06 0. 2.42
time (sec) N/A 0.09 0.11 0.199 0. 1.909 0. 11.375
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 50 154 0 636 0 140
normalized size 1 1. 0.93 2.85 0. 11.78 0. 2.59
time (sec) N/A 0.072 0.053 0.136 0. 1.92 0. 9.965
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 40 62 0 826 0 180
normalized size 1 1. 0.51 0.79 0. 10.59 0. 2.31
time (sec) N/A 0.058 0.051 0.035 0. 1.928 0. 9.579
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 60 496 0 0 0 315
normalized size 1 1. 0.42 3.44 0. 0. 0. 2.19
time (sec) N/A 0.125 0.062 0.224 0. 0. 0. 9.078
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 90 744 0 0 0 448
normalized size 1 1. 0.45 3.72 0. 0. 0. 2.24
time (sec) N/A 0.175 0.181 0.318 0. 0. 0. 10.129
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 99 986 0 0 0 541
normalized size 1 1. 0.38 3.76 0. 0. 0. 2.06
time (sec) N/A 0.227 0.291 0.342 0. 0. 0. 9.524
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 127 127 447 302 0 849 0 394
normalized size 1 1. 3.52 2.38 0. 6.69 0. 3.1
time (sec) N/A 0.087 6.068 0.214 0. 2.03 0. 16.585
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 113 113 5501 327 0 1102 0 398
normalized size 1 1. 48.68 2.89 0. 9.75 0. 3.52
time (sec) N/A 0.107 23.444 0.207 0. 2.906 0. 13.095
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 127 127 5531 370 0 1319 0 375
normalized size 1 1. 43.55 2.91 0. 10.39 0. 2.95
time (sec) N/A 0.106 23.453 0.14 0. 3.285 0. 12.588
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-2) F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 265 265 5614 714 0 0 0 277
normalized size 1 1. 21.18 2.69 0. 0. 0. 1.05
time (sec) N/A 0.233 23.627 0.259 0. 0. 0. 9.283
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 355 355 5656 1066 0 0 0 447
normalized size 1 1. 15.93 3. 0. 0. 0. 1.26
time (sec) N/A 0.329 23.685 0.356 0. 0. 0. 10.126
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-2) F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 439 439 5698 1412 0 0 0 613
normalized size 1 1. 12.98 3.22 0. 0. 0. 1.4
time (sec) N/A 0.42 23.71 0.444 0. 0. 0. 9.694
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) A F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 177 227 5594 724 0 1802 0 0
normalized size 1 1.28 31.6 4.09 0. 10.18 0. 0.
time (sec) N/A 0.18 23.638 0.212 0. 3.592 0. 0.
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 125 125 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 1.259 0.735 0. 0. 0. 0.
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 243 243 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.229 2.58 180. 0. 0. 0. 0.
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 161 161 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.169 1. 0.532 0. 0. 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 105 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.702 0.68 0. 0. 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 130 130 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.159 0.473 0.684 0. 0. 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 169 169 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.272 0.859 0.359 0. 0. 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 252 252 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.341 1.47 0.451 0. 0. 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 131 131 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.097 3.446 0.255 0. 0. 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 131 131 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.086 7.357 0.279 0. 0. 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 131 131 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 2.214 0.283 0. 0. 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 131 131 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.105 9.738 0.251 0. 0. 0. 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 87 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.1 0.418 0.439 0. 0. 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 72 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.145 0.309 0. 0. 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 49 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.048 0.244 0. 0. 0. 0.
Problem 222 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 43 43 43 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.042 0.317 0. 0. 0. 0.
Problem 223 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 74 74 57 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.041 0.33 0. 0. 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 96 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.216 0.23 0. 0. 0. 0.
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 106 106 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 1.151 0.272 0. 0. 0. 0.
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 106 106 2419 0 0 0 0 0
normalized size 1 1. 22.82 0. 0. 0. 0. 0.
time (sec) N/A 0.055 14.911 0.21 0. 0. 0. 0.
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 102 102 2492 0 0 0 0 0
normalized size 1 1. 24.43 0. 0. 0. 0. 0.
time (sec) N/A 0.055 15.367 0.252 0. 0. 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 106 106 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 1.531 0.303 0. 0. 0. 0.
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 114 114 2072 0 0 0 0 0
normalized size 1 1. 18.18 0. 0. 0. 0. 0.
time (sec) N/A 0.064 18.543 0.282 0. 0. 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 114 114 238 0 0 0 0 0
normalized size 1 1. 2.09 0. 0. 0. 0. 0.
time (sec) N/A 0.058 2.086 0.28 0. 0. 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 111 111 229 0 0 0 0 0
normalized size 1 1. 2.06 0. 0. 0. 0. 0.
time (sec) N/A 0.063 1.377 0.288 0. 0. 0. 0.
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 112 112 2164 0 0 0 0 0
normalized size 1 1. 19.32 0. 0. 0. 0. 0.
time (sec) N/A 0.067 15.55 0.256 0. 0. 0. 0.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 185 658 0 0 0 0
normalized size 1 1. 0.58 2.06 0. 0. 0. 0.
time (sec) N/A 0.264 3.68 0.304 0. 0. 0. 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 346 346 191 1390 0 0 0 0
normalized size 1 1. 0.55 4.02 0. 0. 0. 0.
time (sec) N/A 0.279 1.142 0.364 0. 0. 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 274 169 289 0 0 0 0
normalized size 1 1. 0.62 1.05 0. 0. 0. 0.
time (sec) N/A 0.201 1.747 0.261 0. 0. 0. 0.
Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 189 1429 0 0 0 0
normalized size 1 1. 0.63 4.78 0. 0. 0. 0.
time (sec) N/A 0.233 1.578 0.313 0. 0. 0. 0.
Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 224 688 0 0 0 0
normalized size 1 1. 0.7 2.15 0. 0. 0. 0.
time (sec) N/A 0.251 2.415 0.258 0. 0. 0. 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 357 357 93 650 0 0 0 0
normalized size 1 1. 0.26 1.82 0. 0. 0. 0.
time (sec) N/A 0.336 2.219 0.27 0. 0. 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 343 343 220 1392 0 0 0 0
normalized size 1 1. 0.64 4.06 0. 0. 0. 0.
time (sec) N/A 0.329 5.062 0.28 0. 0. 0. 0.
Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 311 311 118 653 0 0 0 0
normalized size 1 1. 0.38 2.1 0. 0. 0. 0.
time (sec) N/A 0.287 1.747 0.289 0. 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 339 221 1504 0 0 0 0
normalized size 1 1. 0.65 4.44 0. 0. 0. 0.
time (sec) N/A 0.318 10.808 0.356 0. 0. 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 375 375 127 721 0 0 0 0
normalized size 1 1. 0.34 1.92 0. 0. 0. 0.
time (sec) N/A 0.328 5.924 0.309 0. 0. 0. 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 405 405 316 2113 0 0 0 0
normalized size 1 1. 0.78 5.22 0. 0. 0. 0.
time (sec) N/A 0.427 4.006 0.297 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 325 325 135 1269 0 0 0 0
normalized size 1 1. 0.42 3.9 0. 0. 0. 0.
time (sec) N/A 0.325 1.581 0.301 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 347 347 249 359 0 0 0 0
normalized size 1 1. 0.72 1.03 0. 0. 0. 0.
time (sec) N/A 0.357 3.5 0.303 0. 0. 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 290 290 112 323 0 0 0 0
normalized size 1 1. 0.39 1.11 0. 0. 0. 0.
time (sec) N/A 0.289 8.212 0.259 0. 0. 0. 0.
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 325 325 194 1419 0 0 0 0
normalized size 1 1. 0.6 4.37 0. 0. 0. 0.
time (sec) N/A 0.323 56.863 0.287 0. 0. 0. 0.
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 335 335 130 698 0 0 0 0
normalized size 1 1. 0.39 2.08 0. 0. 0. 0.
time (sec) N/A 0.337 15.143 0.28 0. 0. 0. 0.
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 371 261 1505 0 0 0 0
normalized size 1 1. 0.7 4.06 0. 0. 0. 0.
time (sec) N/A 0.368 19.291 0.28 0. 0. 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 413 413 0 2117 0 0 0 0
normalized size 1 1. 0. 5.13 0. 0. 0. 0.
time (sec) N/A 0.427 12.977 0.315 0. 0. 0. 0.
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 359 359 0 1267 0 0 0 0
normalized size 1 1. 0. 3.53 0. 0. 0. 0.
time (sec) N/A 0.389 9.47 0.277 0. 0. 0. 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 355 355 0 367 0 0 0 0
normalized size 1 1. 0. 1.03 0. 0. 0. 0.
time (sec) N/A 0.418 4.935 0.28 0. 0. 0. 0.
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 321 321 0 653 0 0 0 0
normalized size 1 1. 0. 2.03 0. 0. 0. 0.
time (sec) N/A 0.372 4.756 0.3 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 357 357 0 1480 0 0 0 0
normalized size 1 1. 0. 4.15 0. 0. 0. 0.
time (sec) N/A 0.394 52.015 0.268 0. 0. 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F C F(-1) F(-1) F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 389 389 0 721 0 0 0 0
normalized size 1 1. 0. 1.85 0. 0. 0. 0.
time (sec) N/A 0.48 13.15 0.274 0. 0. 0. 0.
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 106 216 127 284 148 428
normalized size 1 1. 0.95 1.95 1.14 2.56 1.33 3.86
time (sec) N/A 0.156 0.447 0.045 1.038 1.496 19.339 8.006
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 82 161 97 216 112 335
normalized size 1 1. 0.98 1.92 1.15 2.57 1.33 3.99
time (sec) N/A 0.094 0.189 0.04 0.989 1.343 5.303 3.55
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 104 68 149 76 242
normalized size 1 1. 1. 1.89 1.24 2.71 1.38 4.4
time (sec) N/A 0.066 0.156 0.037 0.983 1.095 1.27 1.753
Problem 259 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 25 25 25 25 35 80 37 144
normalized size 1 1. 1. 1. 1.4 3.2 1.48 5.76
time (sec) N/A 0.037 0.014 0.016 0.992 0.771 0.983 1.202
Problem 260 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 43 43 60 35 46 113 0 82
normalized size 1 1. 1.4 0.81 1.07 2.63 0. 1.91
time (sec) N/A 0.081 0.036 0.034 0.973 0.97 0. 1.285
Problem 261 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 72 72 114 85 84 254 0 230
normalized size 1 1. 1.58 1.18 1.17 3.53 0. 3.19
time (sec) N/A 0.108 1.358 0.047 0.98 0.727 0. 1.275
Problem 262 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 102 102 166 134 134 440 0 359
normalized size 1 1. 1.63 1.31 1.31 4.31 0. 3.52
time (sec) N/A 0.131 0.33 0.044 0.982 0.834 0. 1.408
Problem 263 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 130 130 216 185 180 630 0 483
normalized size 1 1. 1.66 1.42 1.38 4.85 0. 3.72
time (sec) N/A 0.176 0.58 0.046 0.995 0.823 0. 1.331
Problem 264 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 102 102 103 178 181 377 0 308
normalized size 1 1. 1.01 1.75 1.77 3.7 0. 3.02
time (sec) N/A 0.095 1.028 0.042 1.462 0.943 0. 5.017
Problem 265 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 73 73 79 127 138 302 0 232
normalized size 1 1. 1.08 1.74 1.89 4.14 0. 3.18
time (sec) N/A 0.065 0.578 0.04 1.471 0.924 0. 2.325
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 60 78 88 234 0 155
normalized size 1 1. 1.33 1.73 1.96 5.2 0. 3.44
time (sec) N/A 0.035 0.024 0.03 1.495 0.904 0. 1.511
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 43 35 42 82 0 70
normalized size 1 1. 1.65 1.35 1.62 3.15 0. 2.69
time (sec) N/A 0.026 0.02 0.035 1.473 0.807 0. 1.153
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 62 86 80 213 0 151
normalized size 1 1. 1.13 1.56 1.45 3.87 0. 2.75
time (sec) N/A 0.052 0.029 0.042 1.459 0.783 0. 1.314
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 79 129 107 343 0 230
normalized size 1 1. 0.94 1.54 1.27 4.08 0. 2.74
time (sec) N/A 0.081 0.037 0.045 1.469 0.807 0. 1.287
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 92 162 135 477 0 304
normalized size 1 1. 0.83 1.46 1.22 4.3 0. 2.74
time (sec) N/A 0.111 0.046 0.051 1.481 0.806 0. 1.48
Problem 271 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 185 217 173 317 235 483 314 660
normalized size 1 1.17 0.94 1.71 1.27 2.61 1.7 3.57
time (sec) N/A 0.131 0.424 0.056 1.018 0.93 90.757 13.794
Problem 272 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 149 169 138 256 188 383 252 560
normalized size 1 1.13 0.93 1.72 1.26 2.57 1.69 3.76
time (sec) N/A 0.111 0.331 0.052 1.036 0.983 25.294 7.908
Problem 273 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 115 131 105 197 146 293 189 460
normalized size 1 1.14 0.91 1.71 1.27 2.55 1.64 4.
time (sec) N/A 0.091 0.257 0.051 0.982 0.804 9.82 3.562
Problem 274 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 87 87 74 136 101 205 126 360
normalized size 1 1. 0.85 1.56 1.16 2.36 1.45 4.14
time (sec) N/A 0.069 0.436 0.048 0.999 0.97 4.028 1.933
Problem 275 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 47 47 42 45 57 127 60 258
normalized size 1 1. 0.89 0.96 1.21 2.7 1.28 5.49
time (sec) N/A 0.034 0.057 0.015 0.975 0.845 0.682 1.202
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 53 53 84 184 0 136
normalized size 1 1. 0.87 0.87 1.38 3.02 0. 2.23
time (sec) N/A 0.1 0.106 0.039 0.984 0.874 0. 1.385
Problem 277 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 92 92 82 108 97 275 0 282
normalized size 1 1. 0.89 1.17 1.05 2.99 0. 3.07
time (sec) N/A 0.129 0.459 0.052 0.987 0.79 0. 1.353
Problem 278 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 126 126 148 169 165 504 0 486
normalized size 1 1. 1.17 1.34 1.31 4. 0. 3.86
time (sec) N/A 0.159 3.225 0.053 1.064 0.99 0. 1.456
Problem 279 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 157 157 293 219 203 494 0 381
normalized size 1 1. 1.87 1.39 1.29 3.15 0. 2.43
time (sec) N/A 0.198 1.355 0.051 1.463 0.834 0. 5.03
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 355 164 159 393 0 297
normalized size 1 1. 3.06 1.41 1.37 3.39 0. 2.56
time (sec) N/A 0.152 0.938 0.049 1.531 0.809 0. 2.331
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 201 109 111 294 0 213
normalized size 1 1. 2.87 1.56 1.59 4.2 0. 3.04
time (sec) N/A 0.114 1.161 0.04 1.481 0.943 0. 1.663
Problem 282 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 39 49 63 104 0 108
normalized size 1 1. 0.81 1.02 1.31 2.17 0. 2.25
time (sec) N/A 0.075 0.366 0.038 1.464 0.852 0. 1.37
Problem 283 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 85 85 122 111 103 240 0 238
normalized size 1 1. 1.44 1.31 1.21 2.82 0. 2.8
time (sec) N/A 0.115 0.46 0.047 1.48 0.832 0. 1.392
Problem 284 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 122 122 198 154 130 382 0 369
normalized size 1 1. 1.62 1.26 1.07 3.13 0. 3.02
time (sec) N/A 0.135 0.592 0.05 1.499 0.781 0. 1.442
Problem 285 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 153 153 257 187 157 524 0 494
normalized size 1 1. 1.68 1.22 1.03 3.42 0. 3.23
time (sec) N/A 0.148 0.815 0.055 1.532 0.952 0. 1.298
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 250 250 520 460 362 674 0 2267
normalized size 1 1. 2.08 1.84 1.45 2.7 0. 9.07
time (sec) N/A 0.197 6.227 0.064 1. 1.133 0. 11.265
Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 371 292 247 473 0 1299
normalized size 1 1. 2.18 1.72 1.45 2.78 0. 7.64
time (sec) N/A 0.139 6.174 0.057 0.992 1.251 0. 7.652
Problem 288 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 108 108 108 163 149 305 0 636
normalized size 1 1. 1. 1.51 1.38 2.82 0. 5.89
time (sec) N/A 0.096 0.369 0.052 0.946 1.127 0. 3.628
Problem 289 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 52 70 77 161 0 267
normalized size 1 1. 0.88 1.19 1.31 2.73 0. 4.53
time (sec) N/A 0.071 0.121 0.041 0.972 0.93 0. 1.98
Problem 290 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 35 35 19 35 26 43 82 131
normalized size 1 1. 0.54 1. 0.74 1.23 2.34 3.74
time (sec) N/A 0.032 0.037 0.02 0.964 0.928 6.83 1.35
Problem 291 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 94 94 70 80 92 190 0 180
normalized size 1 1. 0.74 0.85 0.98 2.02 0. 1.91
time (sec) N/A 0.102 0.105 0.058 0.956 1.073 0. 1.29
Problem 292 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 157 157 141 167 194 587 0 346
normalized size 1 1. 0.9 1.06 1.24 3.74 0. 2.2
time (sec) N/A 0.181 1.009 0.075 1.029 1.078 0. 1.451
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 625 308 390 1312 0 639
normalized size 1 1. 2.67 1.32 1.67 5.61 0. 2.73
time (sec) N/A 0.295 6.242 0.076 1.014 1.889 0. 1.491
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 271 907 785 0 1423 0 639
normalized size 1 1.37 4.58 3.96 0. 7.19 0. 3.23
time (sec) N/A 0.373 6.165 0.082 0. 2.826 0. 4.702
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 287 374 0 1048 0 324
normalized size 1 1. 2.28 2.97 0. 8.32 0. 2.57
time (sec) N/A 0.343 2.148 0.072 0. 1.68 0. 2.504
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 115 153 0 599 0 189
normalized size 1 1. 1.51 2.01 0. 7.88 0. 2.49
time (sec) N/A 0.185 0.146 0.054 0. 0.865 0. 1.587
Problem 297 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 106 135 147 123 0 815 0 190
normalized size 1 1.27 1.39 1.16 0. 7.69 0. 1.79
time (sec) N/A 0.243 0.409 0.074 0. 0.969 0. 1.343
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 256 416 238 0 1623 0 386
normalized size 1 1.45 2.35 1.34 0. 9.17 0. 2.18
time (sec) N/A 0.387 6.162 0.085 0. 0.974 0. 1.35
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B A A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 255 255 528 498 433 946 0 2290
normalized size 1 1. 2.07 1.95 1.7 3.71 0. 8.98
time (sec) N/A 0.205 6.275 0.072 1.022 1.56 0. 10.865
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 383 324 306 690 0 0
normalized size 1 1. 2.14 1.81 1.71 3.85 0. 0.
time (sec) N/A 0.146 6.198 0.069 0.985 1.396 0. 0.
Problem 301 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 121 121 187 192 201 485 0 767
normalized size 1 1. 1.55 1.59 1.66 4.01 0. 6.34
time (sec) N/A 0.104 0.537 0.056 0.99 1.267 0. 3.704
Problem 302 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 74 74 62 93 100 230 0 423
normalized size 1 1. 0.84 1.26 1.35 3.11 0. 5.72
time (sec) N/A 0.084 0.249 0.052 0.959 0.814 0. 1.982
Problem 303 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 54 54 54 54 55 113 0 321
normalized size 1 1. 1. 1. 1.02 2.09 0. 5.94
time (sec) N/A 0.043 0.038 0.023 0.969 0.883 0. 1.312
Problem 304 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 138 138 189 141 192 525 0 409
normalized size 1 1. 1.37 1.02 1.39 3.8 0. 2.96
time (sec) N/A 0.142 0.326 0.071 0.995 1.267 0. 1.33
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 351 226 409 1455 0 886
normalized size 1 1. 1.78 1.15 2.08 7.39 0. 4.5
time (sec) N/A 0.229 2.054 0.084 1.024 1.516 0. 1.393
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 278 278 473 367 753 3028 0 1073
normalized size 1 1. 1.7 1.32 2.71 10.89 0. 3.86
time (sec) N/A 0.371 3.035 0.09 1.111 2.645 0. 1.494
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 283 865 723 0 1893 0 555
normalized size 1 1.42 4.32 3.62 0. 9.46 0. 2.78
time (sec) N/A 0.431 6.227 0.092 0. 2.396 0. 5.04
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 327 353 0 1374 0 397
normalized size 1 1. 2.18 2.35 0. 9.16 0. 2.65
time (sec) N/A 0.326 1.575 0.075 0. 1.188 0. 2.601
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 80 120 0 845 0 194
normalized size 1 1. 0.94 1.41 0. 9.94 0. 2.28
time (sec) N/A 0.146 0.255 0.065 0. 0.898 0. 1.493
Problem 310 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 227 227 209 255 0 1507 0 448
normalized size 1 1. 0.92 1.12 0. 6.64 0. 1.97
time (sec) N/A 0.411 1.738 0.092 0. 0.881 0. 1.36
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 360 303 416 0 3191 0 657
normalized size 1 1. 0.84 1.16 0. 8.86 0. 1.82
time (sec) N/A 0.567 2.454 0.099 0. 1.379 0. 1.384
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 761 761 1846 3747 0 0 0 0
normalized size 1 1. 2.43 4.92 0. 0. 0. 0.
time (sec) N/A 1.175 26.212 0.288 0. 0. 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 740 740 202 1801 0 0 0 0
normalized size 1 1. 0.27 2.43 0. 0. 0. 0.
time (sec) N/A 1.015 6.923 0.252 0. 0. 0. 0.
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 415 415 232 874 0 0 0 0
normalized size 1 1. 0.56 2.11 0. 0. 0. 0.
time (sec) N/A 0.705 5.28 0.254 0. 0. 0. 0.
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 422 422 254 2313 0 0 0 0
normalized size 1 1. 0.6 5.48 0. 0. 0. 0.
time (sec) N/A 0.564 12.325 0.232 0. 0. 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 863 863 1571 6426 0 0 0 0
normalized size 1 1. 1.82 7.45 0. 0. 0. 0.
time (sec) N/A 1.25 27.113 0.251 0. 0. 0. 0.
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 836 836 2169 16178 0 0 0 0
normalized size 1 1. 2.59 19.35 0. 0. 0. 0.
time (sec) N/A 1.063 23.659 0.459 0. 0. 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 169 169 254 3268 0 1048 0 0
normalized size 1 1. 1.5 19.34 0. 6.2 0. 0.
time (sec) N/A 0.17 6.291 0.818 0. 3.736 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 194 2342 0 779 0 0
normalized size 1 1. 1.94 23.42 0. 7.79 0. 0.
time (sec) N/A 0.113 6.217 0.497 0. 3.623 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 137 42 0 489 0 250
normalized size 1 1. 2.69 0.82 0. 9.59 0. 4.9
time (sec) N/A 0.048 0.249 0.049 0. 3.003 0. 1.39
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 343 576 0 5389 0 0
normalized size 1 1. 3.24 5.43 0. 50.84 0. 0.
time (sec) N/A 0.159 5.665 0.298 0. 3.979 0. 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 215 215 937 2844 0 8409 0 0
normalized size 1 1. 4.36 13.23 0. 39.11 0. 0.
time (sec) N/A 0.295 19.039 0.296 0. 11.789 0. 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 692 1109 0 0 0 0
normalized size 1 1. 2.01 3.22 0. 0. 0. 0.
time (sec) N/A 0.385 17.673 0.377 0. 0. 0. 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 153 215 0 0 0 0
normalized size 1 1. 1.22 1.72 0. 0. 0. 0.
time (sec) N/A 0.024 0.251 0.259 0. 0. 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 156 628 0 0 0 0
normalized size 1 1. 0.63 2.55 0. 0. 0. 0.
time (sec) N/A 0.212 3.366 0.296 0. 0. 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 248 4997 0 945 0 0
normalized size 1 1. 1.68 33.76 0. 6.39 0. 0.
time (sec) N/A 0.143 6.301 0.705 0. 4.081 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 194 3003 0 676 0 350
normalized size 1 1. 2.46 38.01 0. 8.56 0. 4.43
time (sec) N/A 0.098 1.185 0.443 0. 3.931 0. 2.268
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 108 26 0 373 0 147
normalized size 1 1. 3.48 0.84 0. 12.03 0. 4.74
time (sec) N/A 0.043 0.192 0.048 0. 2.883 0. 1.552
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 218 691 0 5951 0 0
normalized size 1 1. 2.06 6.52 0. 56.14 0. 0.
time (sec) N/A 0.134 6.283 0.31 0. 11.286 0. 0.
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 260 260 1022 4203 0 10157 0 0
normalized size 1 1. 3.93 16.17 0. 39.07 0. 0.
time (sec) N/A 0.263 6.903 0.409 0. 145.021 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 404 610 839 1780 0 0 0 0
normalized size 1 1.51 2.08 4.41 0. 0. 0. 0.
time (sec) N/A 0.763 16.89 0.566 0. 0. 0. 0.
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 310 310 0 823 0 0 0 0
normalized size 1 1. 0. 2.65 0. 0. 0. 0.
time (sec) N/A 0.248 0. 0.348 0. 0. 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 140 178 0 0 0 0
normalized size 1 1. 1.32 1.68 0. 0. 0. 0.
time (sec) N/A 0.021 0.22 0.269 0. 0. 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 361 361 1198 1408 0 0 0 0
normalized size 1 1. 3.32 3.9 0. 0. 0. 0.
time (sec) N/A 0.42 18.735 0.335 0. 0. 0. 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 263 6612 0 1098 0 0
normalized size 1 1. 1.78 44.68 0. 7.42 0. 0.
time (sec) N/A 0.172 6.379 0.848 0. 3.286 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 167 2830 0 763 0 0
normalized size 1 1. 1.9 32.16 0. 8.67 0. 0.
time (sec) N/A 0.124 1.01 0.377 0. 2.913 0. 0.
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F(-2) B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 128 45 0 664 0 0
normalized size 1 1. 2.37 0.83 0. 12.3 0. 0.
time (sec) N/A 0.053 0.387 0.039 0. 2.292 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 1020 2766 0 9288 0 0
normalized size 1 1. 7.18 19.48 0. 65.41 0. 0.
time (sec) N/A 0.197 6.93 0.263 0. 104.274 0. 0.
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F(-1) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 236 316 1114 10977 0 0 0 0
normalized size 1 1.34 4.72 46.51 0. 0. 0. 0.
time (sec) N/A 0.385 7.161 0.76 0. 0. 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 530 907 864 1545 0 0 0 0
normalized size 1 1.71 1.63 2.92 0. 0. 0. 0.
time (sec) N/A 1.298 17.139 0.455 0. 0. 0. 0.
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 344 344 5162 633 0 0 0 0
normalized size 1 1. 15.01 1.84 0. 0. 0. 0.
time (sec) N/A 0.404 23.694 0.298 0. 0. 0. 0.
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 347 347 1249 1209 0 0 0 0
normalized size 1 1. 3.6 3.48 0. 0. 0. 0.
time (sec) N/A 0.319 6.149 0.287 0. 0. 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 449 664 663 2238 0 0 0 0
normalized size 1 1.48 1.48 4.98 0. 0. 0. 0.
time (sec) N/A 0.953 13.432 0.3 0. 0. 0. 0.
Problem 344 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 245 245 238 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.272 3.366 180. 0. 0. 0. 0.
Problem 345 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 160 160 178 0 0 0 0 0
normalized size 1 1. 1.11 0. 0. 0. 0. 0.
time (sec) N/A 0.182 1.357 0.946 0. 0. 0. 0.
Problem 346 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 129 129 106 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.085 0.675 0.663 0. 0. 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F B F F F F F
verified N/A N/A NO TBD TBD TBD TBD TBD
size 266 0 786 0 0 0 0 0
normalized size 1 0. 2.95 0. 0. 0. 0. 0.
time (sec) N/A 0.05 4.579 0.668 0. 0. 0. 0.
Problem 348 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 7.954 0.281 0. 0. 0. 0.
Problem 349 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.701 0.3 0. 0. 0. 0.
Problem 350 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 2.988 0.299 0. 0. 0. 0.
Problem 351 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 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 3.705 0.268 0. 0. 0. 0.
Problem 352 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 3.163 0.574 0. 0. 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 298 0 0 0 0 0
normalized size 1 1. 1.68 0. 0. 0. 0. 0.
time (sec) N/A 0.201 2.926 0.402 0. 0. 0. 0.
Problem 354 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 102 102 118 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 0.092 1.235 0.297 0. 0. 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 49 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.398 0.318 0. 0. 0. 0.
Problem 356 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 162 162 163 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.177 1.423 0.306 0. 0. 0. 0.
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 279 279 256 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.231 6.284 0.268 0. 0. 0. 0.
Problem 358 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 0.039 6.256 0.343 0. 0. 0. 0.
Problem 359 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 236 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.33 3.359 0.263 0. 0. 0. 0.
Problem 360 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 0.041 3.561 0.25 0. 0. 0. 0.
Problem 361 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 0.041 5.714 0.322 0. 0. 0. 0.
Problem 362 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 4.166 0.303 0. 0. 0. 0.
Problem 363 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 5.284 0.318 0. 0. 0. 0.
Problem 364 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 4.889 0.297 0. 0. 0. 0.
Problem 365 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 5.848 0.268 0. 0. 0. 0.

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [316] had the largest ratio of [ 0.92 ]

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 3 2 1. 19 0.105
2 A 3 2 1. 19 0.105
3 A 3 2 1. 19 0.105
4 A 3 2 1. 19 0.105
5 A 3 2 1. 17 0.118
6 A 2 2 1. 17 0.118
7 A 3 2 1. 19 0.105
8 A 3 2 1. 19 0.105
9 A 3 2 1. 19 0.105
10 A 6 2 1. 19 0.105
11 A 5 2 1. 19 0.105
12 A 4 2 1. 19 0.105
13 A 3 2 1. 19 0.105
14 A 2 2 1. 19 0.105
15 A 3 2 1. 19 0.105
16 A 4 2 1. 19 0.105
17 A 5 2 1. 19 0.105
18 A 6 2 1. 19 0.105
19 A 3 2 1. 21 0.095
20 A 3 2 1. 21 0.095
21 A 3 2 1. 21 0.095
22 A 3 2 1. 21 0.095
23 A 3 2 1. 19 0.105
24 A 3 2 1. 19 0.105
25 A 3 2 1. 21 0.095
26 A 3 2 1. 21 0.095
27 A 3 2 1. 21 0.095
28 A 3 2 1. 21 0.095
29 A 12 7 1. 21 0.333
30 A 10 7 1. 21 0.333
31 A 8 7 1. 21 0.333
32 A 8 5 1. 21 0.238
33 A 9 6 1. 21 0.286
34 A 11 7 1. 21 0.333
35 A 12 7 1. 21 0.333
36 A 13 7 1. 21 0.333
37 A 3 2 1. 21 0.095
38 A 3 2 1. 21 0.095
39 A 3 2 1. 21 0.095
40 A 3 2 1. 21 0.095
41 A 3 2 1. 19 0.105
42 A 3 2 1. 19 0.105
43 A 3 2 1. 21 0.095
44 A 3 2 1. 21 0.095
45 A 3 2 1. 21 0.095
46 A 3 2 1. 21 0.095
47 A 17 8 1. 21 0.381
48 A 14 8 1. 21 0.381
49 A 11 8 1. 21 0.381
50 A 11 8 1. 21 0.381
51 A 11 6 1. 21 0.286
52 A 14 8 1. 21 0.381
53 A 15 8 1. 21 0.381
54 A 16 8 1. 21 0.381
55 A 17 8 1. 21 0.381
56 A 3 2 1. 21 0.095
57 A 3 2 1. 21 0.095
58 A 3 2 1. 21 0.095
59 A 3 2 1. 21 0.095
60 A 2 2 1. 19 0.105
61 A 3 2 1. 19 0.105
62 A 3 2 1. 21 0.095
63 A 3 2 1. 21 0.095
64 A 6 3 1. 21 0.143
65 A 5 3 1. 21 0.143
66 A 4 3 1. 21 0.143
67 A 3 2 1. 21 0.095
68 A 4 3 1. 21 0.143
69 A 5 3 1. 21 0.143
70 A 6 3 1. 21 0.143
71 A 3 2 1. 21 0.095
72 A 3 2 1. 21 0.095
73 A 3 2 1. 21 0.095
74 A 3 2 1. 21 0.095
75 A 3 2 1. 19 0.105
76 A 3 2 1. 19 0.105
77 A 3 2 1. 21 0.095
78 A 3 2 1. 21 0.095
79 A 11 8 1. 21 0.381
80 A 9 8 1. 21 0.381
81 A 5 5 1. 21 0.238
82 A 9 6 1.06 21 0.286
83 A 12 8 1. 21 0.381
84 A 13 8 1. 21 0.381
85 A 14 8 1. 21 0.381
86 A 3 2 1. 21 0.095
87 A 3 2 1. 21 0.095
88 A 3 2 1. 21 0.095
89 A 3 2 1. 21 0.095
90 A 3 2 1. 21 0.095
91 A 3 2 1. 19 0.105
92 A 3 2 1. 19 0.105
93 A 3 2 1. 21 0.095
94 A 3 2 1. 21 0.095
95 A 18 9 1. 21 0.429
96 A 15 9 1. 21 0.429
97 A 12 9 1. 21 0.429
98 A 6 6 1. 21 0.286
99 A 12 9 1.04 21 0.429
100 A 12 7 1.18 21 0.333
101 A 16 9 1. 21 0.429
102 A 17 9 1. 21 0.429
103 A 18 9 1. 21 0.429
104 A 17 14 1. 23 0.609
105 A 16 13 1. 23 0.565
106 A 16 13 1. 23 0.565
107 A 15 12 1. 23 0.522
108 A 17 14 1. 23 0.609
109 A 16 13 1. 23 0.565
110 A 18 14 1. 23 0.609
111 A 21 17 1. 25 0.68
112 A 20 16 1. 25 0.64
113 A 19 15 1. 25 0.6
114 A 18 14 1. 25 0.56
115 A 20 16 1. 25 0.64
116 A 20 16 1. 25 0.64
117 A 22 17 1. 25 0.68
118 A 18 14 1. 25 0.56
119 A 18 15 1. 25 0.6
120 A 17 14 1. 25 0.56
121 A 17 14 1. 25 0.56
122 A 16 13 1. 25 0.52
123 A 18 15 1. 25 0.6
124 A 17 14 1. 25 0.56
125 A 19 15 1. 25 0.6
126 A 18 14 1. 25 0.56
127 A 22 18 1. 25 0.72
128 A 21 17 1. 25 0.68
129 A 20 16 1. 25 0.64
130 A 19 15 1. 25 0.6
131 A 21 17 1. 25 0.68
132 A 21 17 1. 25 0.68
133 A 23 18 1. 25 0.72
134 A 23 17 1. 25 0.68
135 A 8 5 1. 23 0.217
136 A 6 5 1. 23 0.217
137 A 4 4 1. 21 0.19
138 A 6 4 1. 21 0.19
139 A 8 6 1. 23 0.261
140 A 10 7 1. 23 0.304
141 A 4 3 1. 23 0.13
142 A 4 3 1. 23 0.13
143 A 4 4 1. 23 0.174
144 A 5 4 1. 23 0.174
145 A 7 5 1. 23 0.217
146 A 9 6 1. 23 0.261
147 A 9 5 1. 23 0.217
148 A 7 5 1. 23 0.217
149 A 5 4 1. 21 0.19
150 A 6 4 1. 21 0.19
151 A 7 5 1. 23 0.217
152 A 9 7 1. 23 0.304
153 A 4 3 1. 23 0.13
154 A 4 3 1. 23 0.13
155 A 4 3 1. 23 0.13
156 A 3 3 1. 23 0.13
157 A 6 5 1. 23 0.217
158 A 8 5 1. 23 0.217
159 A 10 5 1. 23 0.217
160 A 8 5 1. 23 0.217
161 A 6 4 1. 21 0.19
162 A 7 5 1. 21 0.238
163 A 7 5 1. 23 0.217
164 A 8 6 1. 23 0.261
165 A 4 3 1. 23 0.13
166 A 4 3 1. 23 0.13
167 A 4 3 1. 23 0.13
168 A 3 3 1. 23 0.13
169 A 4 3 1. 23 0.13
170 A 7 5 1. 23 0.217
171 A 7 5 1. 23 0.217
172 A 5 5 1. 23 0.217
173 A 3 3 1. 21 0.143
174 A 7 5 1. 21 0.238
175 A 9 6 1. 23 0.261
176 A 11 7 1. 23 0.304
177 A 4 3 1. 23 0.13
178 A 5 4 1. 23 0.174
179 A 3 3 1. 23 0.13
180 A 6 5 1. 23 0.217
181 A 8 6 1. 23 0.261
182 A 10 6 1. 23 0.261
183 A 6 5 1. 23 0.217
184 A 4 4 1. 23 0.174
185 A 4 4 1. 21 0.19
186 A 8 6 1. 21 0.286
187 A 10 6 1. 23 0.261
188 A 12 7 1. 23 0.304
189 A 5 4 1. 23 0.174
190 A 4 3 1. 23 0.13
191 A 4 3 1. 23 0.13
192 A 7 6 1. 23 0.261
193 A 9 6 1. 23 0.261
194 A 11 6 1. 23 0.261
195 A 5 4 1. 23 0.174
196 A 4 4 1. 23 0.174
197 A 5 4 1. 21 0.19
198 A 9 6 1. 21 0.286
199 A 11 6 1. 23 0.261
200 A 13 7 1. 23 0.304
201 A 4 3 1. 23 0.13
202 A 5 4 1. 23 0.174
203 A 5 4 1. 23 0.174
204 A 8 6 1. 23 0.261
205 A 10 6 1. 23 0.261
206 A 12 6 1. 23 0.261
207 A 7 5 1.28 23 0.217
208 A 1 1 1. 23 0.043
209 A 8 6 1. 23 0.261
210 A 7 6 1. 23 0.261
211 A 4 4 1. 21 0.19
212 A 5 5 1. 23 0.217
213 A 8 7 1. 23 0.304
214 A 9 7 1. 23 0.304
215 A 1 1 1. 25 0.04
216 A 1 1 1. 25 0.04
217 A 1 1 1. 25 0.04
218 A 1 1 1. 25 0.04
219 A 4 3 1. 21 0.143
220 A 4 3 1. 21 0.143
221 A 3 3 1. 21 0.143
222 A 2 2 1. 19 0.105
223 A 4 4 1. 19 0.21
224 A 5 5 1. 21 0.238
225 A 1 1 1. 21 0.048
226 A 1 1 1. 21 0.048
227 A 1 1 1. 21 0.048
228 A 1 1 1. 21 0.048
229 A 1 1 1. 23 0.043
230 A 1 1 1. 23 0.043
231 A 1 1 1. 23 0.043
232 A 1 1 1. 23 0.043
233 A 17 14 1. 23 0.609
234 A 18 15 1. 23 0.652
235 A 16 13 1. 23 0.565
236 A 17 14 1. 23 0.609
237 A 17 14 1. 23 0.609
238 A 21 17 1. 25 0.68
239 A 21 17 1. 25 0.68
240 A 19 15 1. 25 0.6
241 A 20 16 1. 25 0.64
242 A 21 17 1. 25 0.68
243 A 20 16 1. 25 0.64
244 A 18 15 1. 25 0.6
245 A 19 16 1. 25 0.64
246 A 17 14 1. 25 0.56
247 A 18 15 1. 25 0.6
248 A 18 15 1. 25 0.6
249 A 19 16 1. 25 0.64
250 A 24 19 1. 25 0.76
251 A 22 18 1. 25 0.72
252 A 22 18 1. 25 0.72
253 A 20 16 1. 25 0.64
254 A 21 17 1. 25 0.68
255 A 22 18 1. 25 0.72
256 A 7 5 1. 19 0.263
257 A 6 5 1. 19 0.263
258 A 5 5 1. 19 0.263
259 A 4 4 1. 17 0.235
260 A 5 4 1. 17 0.235
261 A 6 5 1. 19 0.263
262 A 7 5 1. 19 0.263
263 A 8 5 1. 19 0.263
264 A 5 2 1. 19 0.105
265 A 4 2 1. 19 0.105
266 A 3 2 1. 19 0.105
267 A 2 2 1. 19 0.105
268 A 3 2 1. 19 0.105
269 A 4 2 1. 19 0.105
270 A 5 2 1. 19 0.105
271 A 3 2 1.17 21 0.095
272 A 3 2 1.13 21 0.095
273 A 3 2 1.14 21 0.095
274 A 3 2 1. 21 0.095
275 A 3 2 1. 19 0.105
276 A 3 2 1. 19 0.105
277 A 4 3 1. 21 0.143
278 A 5 4 1. 21 0.19
279 A 12 7 1. 21 0.333
280 A 10 7 1. 21 0.333
281 A 8 7 1. 21 0.333
282 A 8 5 1. 21 0.238
283 A 9 6 1. 21 0.286
284 A 11 7 1. 21 0.333
285 A 12 7 1. 21 0.333
286 A 3 2 1. 21 0.095
287 A 3 2 1. 21 0.095
288 A 3 2 1. 21 0.095
289 A 3 2 1. 21 0.095
290 A 4 4 1. 19 0.21
291 A 3 2 1. 19 0.105
292 A 3 2 1. 21 0.095
293 A 3 2 1. 21 0.095
294 A 15 8 1.37 21 0.381
295 A 6 6 1. 21 0.286
296 A 7 7 1. 21 0.333
297 A 9 8 1.27 21 0.381
298 A 15 8 1.45 21 0.381
299 A 3 2 1. 21 0.095
300 A 3 2 1. 21 0.095
301 A 3 2 1. 21 0.095
302 A 3 2 1. 21 0.095
303 A 3 2 1. 19 0.105
304 A 3 2 1. 19 0.105
305 A 3 2 1. 21 0.095
306 A 3 2 1. 21 0.095
307 A 16 10 1.42 21 0.476
308 A 6 6 1. 21 0.286
309 A 6 6 1. 21 0.286
310 A 11 7 1. 21 0.333
311 A 15 8 1. 21 0.381
312 A 38 22 1. 25 0.88
313 A 35 19 1. 25 0.76
314 A 21 16 1. 25 0.64
315 A 19 14 1. 25 0.56
316 A 39 23 1. 25 0.92
317 A 36 20 1. 25 0.8
318 A 5 4 1. 23 0.174
319 A 5 4 1. 23 0.174
320 A 4 4 1. 21 0.19
321 A 7 5 1. 21 0.238
322 A 13 9 1. 23 0.391
323 A 7 7 1. 23 0.304
324 A 1 1 1. 14 0.071
325 A 5 4 1. 23 0.174
326 A 5 4 1. 23 0.174
327 A 5 4 1. 23 0.174
328 A 3 3 1. 21 0.143
329 A 7 5 1. 21 0.238
330 A 11 6 1. 23 0.261
331 A 11 8 1.51 23 0.348
332 A 6 6 1. 23 0.261
333 A 1 1 1. 14 0.071
334 A 9 8 1. 23 0.348
335 A 5 4 1. 23 0.174
336 A 5 4 1. 23 0.174
337 A 4 4 1. 21 0.19
338 A 7 4 1. 21 0.19
339 A 11 5 1.34 23 0.217
340 A 17 11 1.71 23 0.478
341 A 7 7 1. 23 0.304
342 A 6 6 1. 14 0.429
343 A 14 11 1.48 23 0.478
344 A 8 6 1. 23 0.261
345 A 7 6 1. 23 0.261
346 A 4 4 1. 21 0.19
347 F 0 0 N/A 0 N/A
348 A 0 0 0. 0 0.
349 A 0 0 0. 0 0.
350 A 0 0 0. 0 0.
351 A 0 0 0. 0 0.
352 A 0 0 0. 0 0.
353 A 5 4 1. 21 0.19
354 A 4 4 1. 21 0.19
355 A 2 2 1. 19 0.105
356 A 8 5 1. 19 0.263
357 A 10 5 1. 21 0.238
358 A 0 0 0. 0 0.
359 A 0 0 0. 0 0.
360 A 0 0 0. 0 0.
361 A 0 0 0. 0 0.
362 A 0 0 0. 0 0.
363 A 0 0 0. 0 0.
364 A 0 0 0. 0 0.
365 A 0 0 0. 0 0.

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